
Time bar (total: 11.4s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 100% | 100% | 0% | 0% | 0% | 0% | 0% | 1 |
Compiled 10 to 9 computations (10% saved)
| 569.0ms | 1 462× | 2 | valid |
| 377.0ms | 2 487× | 1 | valid |
| 251.0ms | 4 307× | 0 | valid |
ival-exp: 678.0ms (67.4% of total)ival-div: 118.0ms (11.7% of total)ival-sub: 95.0ms (9.4% of total)adjust: 63.0ms (6.3% of total)ival-neg: 36.0ms (3.6% of total)ival-true: 6.0ms (0.6% of total)exact: 5.0ms (0.5% of total)ival-assert: 3.0ms (0.3% of total)| 1× | egg-herbie |
| 276× | lower-fma.f64 |
| 276× | lower-fma.f32 |
| 180× | lower-*.f64 |
| 180× | lower-*.f32 |
| 88× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 16 |
| 1 | 32 | 16 |
| 2 | 76 | 16 |
| 3 | 173 | 16 |
| 4 | 346 | 16 |
| 5 | 508 | 16 |
| 6 | 531 | 16 |
| 0 | 7 | 8 |
| 0 | 12 | 8 |
| 1 | 23 | 8 |
| 2 | 40 | 8 |
| 3 | 67 | 8 |
| 4 | 109 | 8 |
| 5 | 168 | 8 |
| 6 | 227 | 8 |
| 7 | 349 | 8 |
| 8 | 410 | 8 |
| 9 | 419 | 8 |
| 0 | 419 | 8 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| Outputs |
|---|
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64)) |
(negabs x)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 120 | 0 | - | 1 | (0.01074734367034953) | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | (exp.f64 x) |
| 0 | 0 | - | 0 | - | (exp.f64 (neg.f64 x)) |
| 0 | 0 | - | 0 | - | (neg.f64 x) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) | cancellation | 119 | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 119 | 1 |
| - | 0 | 136 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 119 | 1 | 0 |
| - | 0 | 1 | 135 |
| number | freq |
|---|---|
| 0 | 137 |
| 1 | 119 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 78.0ms | 76× | 2 | valid |
| 40.0ms | 284× | 0 | valid |
| 25.0ms | 152× | 1 | valid |
Compiled 68 to 32 computations (52.9% saved)
ival-exp: 86.0ms (67.6% of total)adjust: 29.0ms (22.8% of total)ival-div: 5.0ms (3.9% of total)ival-sub: 4.0ms (3.1% of total)ival-neg: 2.0ms (1.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)Compiled 1 to 1 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 57.4% | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
Compiled 9 to 7 computations (22.2% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (exp.f64 (neg.f64 x)) |
| ✓ | cost-diff | 0 | (exp.f64 x) |
| ✓ | cost-diff | 0 | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| ✓ | cost-diff | 384 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 276× | lower-fma.f64 |
| 276× | lower-fma.f32 |
| 180× | lower-*.f64 |
| 180× | lower-*.f32 |
| 88× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 23 |
| 0 | 12 | 23 |
| 1 | 23 | 23 |
| 2 | 40 | 23 |
| 3 | 67 | 23 |
| 4 | 109 | 23 |
| 5 | 168 | 23 |
| 6 | 227 | 23 |
| 7 | 349 | 23 |
| 8 | 410 | 23 |
| 9 | 419 | 23 |
| 0 | 419 | 23 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(exp.f64 x) |
x |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
#s(literal 2 binary64) |
| Outputs |
|---|
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64)) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(exp.f64 x) |
x |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
#s(literal 2 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (neg.f64 x) |
| ✓ | accuracy | 100.0% | (exp.f64 (neg.f64 x)) |
| ✓ | accuracy | 100.0% | (exp.f64 x) |
| ✓ | accuracy | 57.4% | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 67.0ms | 76× | 1 | valid |
| 16.0ms | 38× | 2 | valid |
| 8.0ms | 142× | 0 | valid |
Compiled 25 to 9 computations (64% saved)
ival-exp: 50.0ms (60.5% of total)ival-div: 28.0ms (33.9% of total)adjust: 2.0ms (2.4% of total)ival-sub: 2.0ms (2.4% of total)ival-neg: 1.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (patch (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ()) |
#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ()) |
#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 x) (#s(alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (patch (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* 1/6 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (patch (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) (taylor 0 x) (#s(alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (patch (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) (taylor 0 x) (#s(alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (patch (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp x) (exp (neg x)))) (taylor inf x) (#s(alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (patch (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp x) (exp (neg x)))) (taylor inf x) (#s(alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (patch (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp x) (exp (neg x)))) (taylor inf x) (#s(alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (patch (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp x) (exp (neg x)))) (taylor inf x) (#s(alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (patch (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp x) (exp (* -1 x)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (patch (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp x) (exp (* -1 x)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (patch (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp x) (exp (* -1 x)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (patch (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp x) (exp (* -1 x)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (patch (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor 0 x) (#s(alt (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 2 (* 1/3 (pow x 2)))) (taylor 0 x) (#s(alt (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))) (taylor 0 x) (#s(alt (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))) (taylor 0 x) (#s(alt (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (- (exp x) (exp (neg x))) (taylor inf x) (#s(alt (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (- (exp x) (exp (neg x))) (taylor inf x) (#s(alt (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (- (exp x) (exp (neg x))) (taylor inf x) (#s(alt (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (- (exp x) (exp (neg x))) (taylor inf x) (#s(alt (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (- (exp x) (exp (* -1 x))) (taylor -inf x) (#s(alt (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (- (exp x) (exp (* -1 x))) (taylor -inf x) (#s(alt (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (- (exp x) (exp (* -1 x))) (taylor -inf x) (#s(alt (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (- (exp x) (exp (* -1 x))) (taylor -inf x) (#s(alt (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (patch (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (+ 1 (* 1/2 x)))) (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (exp x) (taylor inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (exp x) (taylor inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (exp x) (taylor inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (exp x) (taylor inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (exp x) (taylor -inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (exp x) (taylor -inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (exp x) (taylor -inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (exp x) (taylor -inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (- (* 1/2 x) 1))) (taylor 0 x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) (taylor 0 x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (exp (neg x)) (taylor inf x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (exp (neg x)) (taylor inf x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (exp (neg x)) (taylor inf x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (exp (neg x)) (taylor inf x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (exp (* -1 x)) (taylor -inf x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (exp (* -1 x)) (taylor -inf x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (exp (* -1 x)) (taylor -inf x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (exp (* -1 x)) (taylor -inf x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (/ (- (exp x) (exp (neg x))) 2) |
| 0.0ms | x | @ | 0 | (/ (- (exp x) (exp (neg x))) 2) |
| 0.0ms | x | @ | inf | (/ (- (exp x) (exp (neg x))) 2) |
| 0.0ms | x | @ | inf | (neg x) |
| 0.0ms | x | @ | 0 | (- (exp x) (exp (neg x))) |
| 1× | egg-herbie |
| 18 510× | lower-fma.f64 |
| 18 510× | lower-fma.f32 |
| 4 440× | lower-*.f64 |
| 4 440× | lower-*.f32 |
| 2 418× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 74 | 323 |
| 1 | 218 | 322 |
| 2 | 536 | 316 |
| 3 | 1389 | 316 |
| 4 | 2118 | 316 |
| 5 | 3210 | 316 |
| 6 | 3762 | 316 |
| 7 | 5168 | 316 |
| 8 | 6336 | 316 |
| 9 | 7581 | 316 |
| 0 | 8147 | 294 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(* 2 x) |
(* x (+ 2 (* 1/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))) |
(- (exp x) (exp (neg x))) |
(- (exp x) (exp (neg x))) |
(- (exp x) (exp (neg x))) |
(- (exp x) (exp (neg x))) |
(- (exp x) (exp (* -1 x))) |
(- (exp x) (exp (* -1 x))) |
(- (exp x) (exp (* -1 x))) |
(- (exp x) (exp (* -1 x))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) |
(exp (neg x)) |
(exp (neg x)) |
(exp (neg x)) |
(exp (neg x)) |
(exp (* -1 x)) |
(exp (* -1 x)) |
(exp (* -1 x)) |
(exp (* -1 x)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
| Outputs |
|---|
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal -1/2 binary64)) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal -1/2 binary64)) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal -1/2 binary64)) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal -1/2 binary64)) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal -1/2 binary64)) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal -1/2 binary64)) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal -1/2 binary64)) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal -1/2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* x (+ 2 (* 1/3 (pow x 2)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64))) |
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))) |
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))) |
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) |
(- (exp x) (exp (neg x))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(- (exp x) (exp (neg x))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(- (exp x) (exp (neg x))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(- (exp x) (exp (neg x))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(- (exp x) (exp (* -1 x))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(- (exp x) (exp (* -1 x))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(- (exp x) (exp (* -1 x))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(- (exp x) (exp (* -1 x))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(exp (neg x)) |
(exp.f64 (neg.f64 x)) |
(exp (neg x)) |
(exp.f64 (neg.f64 x)) |
(exp (neg x)) |
(exp.f64 (neg.f64 x)) |
(exp (neg x)) |
(exp.f64 (neg.f64 x)) |
(exp (* -1 x)) |
(exp.f64 (neg.f64 x)) |
(exp (* -1 x)) |
(exp.f64 (neg.f64 x)) |
(exp (* -1 x)) |
(exp.f64 (neg.f64 x)) |
(exp (* -1 x)) |
(exp.f64 (neg.f64 x)) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
| 1× | batch-egg-rewrite |
| 1 606× | lower-/.f32 |
| 1 604× | lower-/.f64 |
| 1 600× | lower-*.f64 |
| 1 600× | lower-*.f32 |
| 1 038× | lower-fma.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 21 |
| 0 | 12 | 17 |
| 1 | 47 | 13 |
| 2 | 294 | 13 |
| 0 | 3072 | 13 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(exp.f64 x) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
| Outputs |
|---|
(+.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64))) |
(+.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)))) |
(+.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 (neg.f64 x))))) |
(+.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)) (*.f64 (exp.f64 x) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 (neg.f64 x)))) (*.f64 (exp.f64 x) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x))) #s(literal -1 binary64))) |
(-.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (sinh.f64 x))) |
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))))) #s(literal 2 binary64)) (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal -3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))))) #s(literal 2 binary64))) |
(-.f64 (/.f64 (/.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64)) (/.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64))) |
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 2 binary64))) (/.f64 (exp.f64 (*.f64 x #s(literal -3 binary64))) (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 4 binary64) (cosh.f64 x))) (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (*.f64 #s(literal 4 binary64) (cosh.f64 x)))) |
(-.f64 (/.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 4 binary64))) |
(-.f64 (/.f64 (*.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1/8 binary64)) (fma.f64 (exp.f64 (+.f64 x x)) #s(literal 1/4 binary64) (fma.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1/4 binary64) #s(literal 1/4 binary64)))) (/.f64 (*.f64 (exp.f64 (*.f64 x #s(literal -3 binary64))) #s(literal 1/8 binary64)) (fma.f64 (exp.f64 (+.f64 x x)) #s(literal 1/4 binary64) (fma.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1/4 binary64) #s(literal 1/4 binary64))))) |
(-.f64 (/.f64 (*.f64 (exp.f64 (+.f64 x x)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) (/.f64 (*.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))) |
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64))) |
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)))) |
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 (neg.f64 x))))) |
(fma.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64) (*.f64 (exp.f64 x) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 (neg.f64 x))))) |
(fma.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (exp.f64 x) (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (exp.f64 x) (*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)))) |
(fma.f64 #s(literal 1/2 binary64) (exp.f64 x) (*.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 (neg.f64 x))))) |
(fma.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 (neg.f64 x))) (*.f64 (exp.f64 x) #s(literal 1/2 binary64))) |
(fma.f64 (neg.f64 (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64) (*.f64 (exp.f64 x) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 x) #s(literal 1/2 binary64))) |
(fma.f64 (neg.f64 (exp.f64 x)) #s(literal -1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64))) |
(fma.f64 (neg.f64 (exp.f64 x)) #s(literal -1/2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)))) |
(fma.f64 (neg.f64 (exp.f64 x)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 (neg.f64 x))))) |
(neg.f64 (neg.f64 (sinh.f64 x))) |
(sinh.f64 x) |
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (fma.f64 (exp.f64 x) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (exp.f64 (+.f64 x x)) #s(literal 1/4 binary64) (fma.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1/4 binary64) #s(literal 1/4 binary64))) (-.f64 (*.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1/8 binary64)) (*.f64 (exp.f64 (*.f64 x #s(literal -3 binary64))) #s(literal 1/8 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (sinh.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))) (*.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (sinh.f64 x)))) |
(/.f64 (*.f64 (sinh.f64 x) #s(literal -2 binary64)) #s(literal -2 binary64)) |
(/.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))) (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 2 binary64))) |
(/.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))) (*.f64 #s(literal -2 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))))))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 x))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sinh.f64 x))) |
(/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x)) (*.f64 #s(literal 4 binary64) (cosh.f64 x))) |
(/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x)) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x)))) |
(/.f64 (fma.f64 (exp.f64 x) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 x)))) #s(literal 4 binary64)) |
(/.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))) (neg.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))) (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))))) |
(/.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))) (*.f64 #s(literal 2 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x))) (neg.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x))) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x)))) |
(/.f64 (-.f64 (exp.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x #s(literal -3 binary64)) #s(literal 3 binary64)))) (*.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 2 binary64)) (+.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 (neg.f64 x) x) #s(literal 3 binary64))))))) |
(/.f64 (-.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64))) (exp.f64 (*.f64 (-.f64 (neg.f64 x) x) #s(literal 3 binary64)))) (*.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 2 binary64)) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))))) |
(/.f64 (-.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64))) (exp.f64 (*.f64 (-.f64 (neg.f64 x) x) #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (+.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) x (+.f64 x x))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -2 binary64) (-.f64 (neg.f64 x) x))))))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1/8 binary64)) (*.f64 (exp.f64 (*.f64 x #s(literal -3 binary64))) #s(literal 1/8 binary64))) (fma.f64 (exp.f64 (+.f64 x x)) #s(literal 1/4 binary64) (fma.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1/4 binary64) #s(literal 1/4 binary64)))) |
(/.f64 (-.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) x (+.f64 x x))) (exp.f64 (fma.f64 x #s(literal -2 binary64) (-.f64 (neg.f64 x) x)))) (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (sinh.f64 x)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) |
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))))) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) |
(/.f64 (-.f64 (*.f64 (exp.f64 x) (*.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (exp.f64 x) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (exp.f64 x) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (exp.f64 (neg.f64 x))))) #s(literal -4 binary64)) |
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(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x #s(literal -3 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))))) (+.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 (neg.f64 x) x) #s(literal 3 binary64)))))) |
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64))) (exp.f64 (*.f64 (-.f64 (neg.f64 x) x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))))) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))) |
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64))) (exp.f64 (*.f64 (-.f64 (neg.f64 x) x) #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) (+.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) x (+.f64 x x))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x #s(literal -2 binary64) (-.f64 (neg.f64 x) x)))))) |
(/.f64 (*.f64 (-.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) x (+.f64 x x))) (exp.f64 (fma.f64 x #s(literal -2 binary64) (-.f64 (neg.f64 x) x)))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))) |
(pow.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) #s(literal -1 binary64)) |
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1 binary64)) |
(*.f64 #s(literal 2 binary64) (sinh.f64 x)) |
(*.f64 (sinh.f64 x) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) |
(*.f64 (*.f64 (sinh.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal -2 binary64) (neg.f64 (sinh.f64 x))) |
(*.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))))))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 (sinh.f64 x) #s(literal -2 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) |
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) |
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))) |
(*.f64 (cosh.f64 x) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (cosh.f64 x))) |
(*.f64 #s(literal 4 binary64) (*.f64 (sinh.f64 x) #s(literal 1/2 binary64))) |
(*.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))))))) |
(*.f64 (neg.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))))) (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x))) |
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 x) #s(literal -2 binary64))) #s(literal -1/2 binary64)) |
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x)) (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x))) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) |
(*.f64 (/.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))) (+.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 3 binary64)))) (-.f64 (+.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) x (+.f64 x x))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 2 binary64))) (fma.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))) (-.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) x (+.f64 x x))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 2 binary64)))) (-.f64 (expm1.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))) |
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x)) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))) (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (-.f64 (neg.f64 x) x)))) |
(exp.f64 x) |
(/.f64 (exp.f64 x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64)) |
(*.f64 (exp.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (exp.f64 x)) |
(exp.f64 (neg.f64 x)) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) x)) |
(-.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 (neg.f64 x)))) |
(neg.f64 (neg.f64 (exp.f64 (neg.f64 x)))) |
(/.f64 #s(literal 1 binary64) (exp.f64 x)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x))) |
(pow.f64 (exp.f64 x) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) x) |
(*.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 x)))) |
(*.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64)))) |
(log.f64 (exp.f64 (neg.f64 x))) |
(+.f64 (neg.f64 x) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (neg.f64 x)) |
(-.f64 #s(literal 0 binary64) x) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (exp.f64 x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) |
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 x x) x)) |
(fma.f64 x #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 x (log.f64 (exp.f64 #s(literal -1 binary64))) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) x #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(neg.f64 x) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (neg.f64 (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (*.f64 x x)))) |
(/.f64 (neg.f64 (*.f64 x (*.f64 x x))) (*.f64 x x)) |
(/.f64 (neg.f64 (*.f64 x x)) x) |
(/.f64 (neg.f64 (neg.f64 (*.f64 x (*.f64 x x)))) (neg.f64 (*.f64 x x))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 x x))) (neg.f64 x)) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 #s(literal 0 binary64) (neg.f64 x))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 #s(literal 0 binary64) (neg.f64 x))) |
(*.f64 x #s(literal -1 binary64)) |
(*.f64 x (log.f64 (exp.f64 #s(literal -1 binary64)))) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) |
Compiled 6 382 to 935 computations (85.3% saved)
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 350 | 6 | 356 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 351 | 6 | 357 |
| Status | Accuracy | Program |
|---|---|---|
| 4.9% | (/.f64 (/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x #s(literal -3 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))))) (+.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 (neg.f64 x) x) #s(literal 3 binary64)))))) #s(literal 2 binary64)) | |
| ▶ | 93.7% | (/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
| ▶ | 100.0% | (sinh.f64 x) |
| ▶ | 91.9% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x)) |
| ▶ | 83.6% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x)) |
| ▶ | 93.7% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
Compiled 236 to 134 computations (43.2% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | #s(approx (- (exp x) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) |
| ✓ | cost-diff | 0 | (/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | #s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) |
| ✓ | cost-diff | 0 | #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x)) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 1/6 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x) |
| ✓ | cost-diff | 0 | #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x)) |
| ✓ | cost-diff | 0 | (sinh.f64 x) |
| 15 788× | lower-fma.f32 |
| 15 770× | lower-fma.f64 |
| 3 906× | lower-*.f32 |
| 3 890× | lower-*.f64 |
| 2 492× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 302 |
| 0 | 65 | 284 |
| 1 | 159 | 284 |
| 2 | 411 | 278 |
| 3 | 1075 | 278 |
| 4 | 1999 | 278 |
| 5 | 3683 | 278 |
| 6 | 3874 | 278 |
| 7 | 4674 | 278 |
| 8 | 6004 | 278 |
| 9 | 7059 | 278 |
| 10 | 7632 | 278 |
| 0 | 8277 | 272 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(sinh.f64 x) |
x |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x)) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x) |
(*.f64 x x) |
x |
(*.f64 x #s(literal 1/6 binary64)) |
#s(literal 1/6 binary64) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x)) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) |
(*.f64 x x) |
x |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(*.f64 x #s(literal 1/120 binary64)) |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
x |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 x x) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
(*.f64 x #s(literal 1/5040 binary64)) |
#s(literal 1/5040 binary64) |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
#s(approx (- (exp x) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) |
x |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) |
(*.f64 x x) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) |
#s(literal 1/2520 binary64) |
#s(literal 1/60 binary64) |
#s(literal 1/3 binary64) |
#s(literal 2 binary64) |
| Outputs |
|---|
(sinh.f64 x) |
x |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)) x)) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)) x) |
(*.f64 x x) |
x |
(*.f64 x #s(literal 1/6 binary64)) |
#s(literal 1/6 binary64) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x)) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(*.f64 x x) |
x |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(*.f64 x #s(literal 1/120 binary64)) |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x)) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
x |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 x x) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
(*.f64 x #s(literal 1/5040 binary64)) |
#s(literal 1/5040 binary64) |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
#s(approx (- (exp x) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) |
#s(approx (- (exp x) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) |
x |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) |
(*.f64 x x) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) |
(fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) |
#s(literal 1/2520 binary64) |
#s(literal 1/60 binary64) |
#s(literal 1/3 binary64) |
#s(literal 2 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) |
| ✓ | accuracy | 99.9% | (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) |
| ✓ | accuracy | 99.9% | (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) |
| ✓ | accuracy | 93.7% | #s(approx (- (exp x) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) |
| ✓ | accuracy | 100.0% | (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
| ✓ | accuracy | 99.8% | (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
| ✓ | accuracy | 93.7% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
| ✓ | accuracy | 99.9% | (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 x #s(literal 1/120 binary64)) |
| ✓ | accuracy | 99.7% | (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
| ✓ | accuracy | 91.9% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x)) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.9% | (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x) |
| ✓ | accuracy | 99.5% | (*.f64 x #s(literal 1/6 binary64)) |
| ✓ | accuracy | 83.6% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x)) |
| ✓ | accuracy | 100.0% | (sinh.f64 x) |
| 53.0ms | 76× | 1 | valid |
| 44.0ms | 142× | 0 | valid |
| 39.0ms | 38× | 2 | valid |
Compiled 248 to 43 computations (82.7% saved)
ival-mult: 34.0ms (30.8% of total)ival-exp: 22.0ms (19.9% of total)const: 21.0ms (19% of total)ival-add: 14.0ms (12.7% of total)adjust: 11.0ms (10% of total)ival-div: 3.0ms (2.7% of total)ival-sub: 2.0ms (1.8% of total)ival-sinh: 2.0ms (1.8% of total)ival-neg: 1.0ms (0.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x) (patch (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(literal 1/6 binary64)) (patch (*.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) (patch (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) #<representation binary64>) () ()) |
#s(alt (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (patch (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (patch (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (patch (/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (exp x) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (patch #s(approx (- (exp x) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) (patch (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (patch (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(literal 1/120 binary64)) (patch (*.f64 x #s(literal 1/120 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (patch (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (patch (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (patch (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (patch (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (patch (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* 1/6 (pow x 2)))) (taylor 0 x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) (taylor 0 x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) (taylor 0 x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* 1/6 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) (taylor 0 x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) (taylor 0 x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp x) (exp (neg x)))) (taylor inf x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp x) (exp (neg x)))) (taylor inf x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp x) (exp (neg x)))) (taylor inf x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp x) (exp (neg x)))) (taylor inf x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp x) (exp (* -1 x)))) (taylor -inf x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x)) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (patch (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/5040 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (patch (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (patch (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (patch (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (patch (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/120 x) (taylor 0 x) (#s(alt (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (patch (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/120 (* 1/5040 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (patch (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/120 (* 1/5040 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (patch (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/120 (* 1/5040 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (patch (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/5040 (pow x 3)) (taylor inf x) (#s(alt (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (patch (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (patch (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (patch (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (patch (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/5040 (pow x 3)) (taylor -inf x) (#s(alt (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (patch (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (patch (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (patch (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (patch (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 1/6 (taylor 0 x) (#s(alt (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (patch (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/6 (* 1/120 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (patch (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))) (taylor 0 x) (#s(alt (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (patch (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))) (taylor 0 x) (#s(alt (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (patch (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/5040 (pow x 4)) (taylor inf x) (#s(alt (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (patch (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (patch (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (patch (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (patch (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/5040 (pow x 4)) (taylor -inf x) (#s(alt (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (patch (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (patch (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (patch (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (patch (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 1/60 (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/60 (* 1/2520 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/60 (* 1/2520 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/60 (* 1/2520 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2520 (pow x 2)) (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2520 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 1/3 (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (patch (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/3 (* 1/60 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (patch (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (patch (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (patch (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2520 (pow x 4)) (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (patch (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (patch (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (patch (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (patch (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2520 (pow x 4)) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (patch (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (patch (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (patch (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (patch (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
66 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (* x (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1)) |
| 1.0ms | x | @ | -inf | (sinh x) |
| 1.0ms | x | @ | inf | (sinh x) |
| 0.0ms | x | @ | inf | (* x (+ (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/2520) 1/60)) 1/3)) 2)) |
| 0.0ms | x | @ | -inf | (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) |
| 1× | egg-herbie |
| 14 412× | lower-fma.f64 |
| 14 412× | lower-fma.f32 |
| 4 138× | lower-*.f64 |
| 4 138× | lower-*.f32 |
| 3 034× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 157 | 2298 |
| 1 | 533 | 2238 |
| 2 | 1422 | 2214 |
| 3 | 3927 | 2210 |
| 4 | 7826 | 2210 |
| 0 | 8132 | 2065 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* 1/6 (pow x 3)) |
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2)))) |
(* 1/6 (pow x 3)) |
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2)))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(* 1/120 (pow x 5)) |
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/120 (pow x 5)) |
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120))) |
(* 1/6 x) |
(* x (+ 1/6 (* 1/120 (pow x 2)))) |
(* x (+ 1/6 (* 1/120 (pow x 2)))) |
(* x (+ 1/6 (* 1/120 (pow x 2)))) |
(* 1/120 (pow x 3)) |
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* 1/120 (pow x 3)) |
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(* 1/5040 (pow x 7)) |
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/5040 (pow x 7)) |
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))))) |
1 |
(+ 1 (* 1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))) |
(* 1/5040 (pow x 6)) |
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/5040 (pow x 6)) |
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(* 2 x) |
(* x (+ 2 (* 1/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))) |
(- (exp x) (exp (neg x))) |
(- (exp x) (exp (neg x))) |
(- (exp x) (exp (neg x))) |
(- (exp x) (exp (neg x))) |
(- (exp x) (exp (* -1 x))) |
(- (exp x) (exp (* -1 x))) |
(- (exp x) (exp (* -1 x))) |
(- (exp x) (exp (* -1 x))) |
(* 2 x) |
(* x (+ 2 (* 1/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))) |
(* 1/2520 (pow x 7)) |
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) |
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6))))))) |
(* 1/2520 (pow x 7)) |
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))))) |
2 |
(+ 2 (* 1/3 (pow x 2))) |
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))) |
(+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))) |
(* 1/2520 (pow x 6)) |
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6))))))) |
(* 1/2520 (pow x 6)) |
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6))))))) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
1/6 |
(+ 1/6 (* 1/120 (pow x 2))) |
(+ 1/6 (* 1/120 (pow x 2))) |
(+ 1/6 (* 1/120 (pow x 2))) |
(* 1/120 (pow x 2)) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* 1/120 (pow x 2)) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
1/120 |
(+ 1/120 (* 1/5040 (pow x 2))) |
(+ 1/120 (* 1/5040 (pow x 2))) |
(+ 1/120 (* 1/5040 (pow x 2))) |
(* 1/5040 (pow x 2)) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* 1/5040 (pow x 2)) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* 1/120 x) |
(* x (+ 1/120 (* 1/5040 (pow x 2)))) |
(* x (+ 1/120 (* 1/5040 (pow x 2)))) |
(* x (+ 1/120 (* 1/5040 (pow x 2)))) |
(* 1/5040 (pow x 3)) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* 1/5040 (pow x 3)) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
1/6 |
(+ 1/6 (* 1/120 (pow x 2))) |
(+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))) |
(+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))) |
(* 1/5040 (pow x 4)) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* 1/5040 (pow x 4)) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
1/60 |
(+ 1/60 (* 1/2520 (pow x 2))) |
(+ 1/60 (* 1/2520 (pow x 2))) |
(+ 1/60 (* 1/2520 (pow x 2))) |
(* 1/2520 (pow x 2)) |
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(* 1/2520 (pow x 2)) |
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
1/3 |
(+ 1/3 (* 1/60 (pow x 2))) |
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))) |
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))) |
(* 1/2520 (pow x 4)) |
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) |
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) |
(* 1/2520 (pow x 4)) |
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) |
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) |
| Outputs |
|---|
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))) x) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))) x) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x) |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x) |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x) |
(* 1/6 (pow x 3)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2)))) |
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x) |
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2)))) |
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x) |
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2)))) |
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x) |
(* 1/6 (pow x 3)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2)))) |
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x) |
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2)))) |
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x) |
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2)))) |
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))) x) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(* 1/120 (pow x 5)) |
(*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
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(* 1/120 (pow x 5)) |
(*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
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(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
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(* x (+ 1/6 (* 1/120 (pow x 2)))) |
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(* x (+ 1/6 (* 1/120 (pow x 2)))) |
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(* 1/120 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
(* 1/120 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
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(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
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(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
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(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
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(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
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(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))) x) |
(* 1/5040 (pow x 7)) |
(*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x)))) |
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
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(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
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(* 1/5040 (pow x 7)) |
(*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x)))) |
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1 |
#s(literal 1 binary64) |
(+ 1 (* 1/6 (pow x 2))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))) |
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(* 1/5040 (pow x 6)) |
(*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(fma.f64 (+.f64 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) |
(* 1/5040 (pow x 6)) |
(*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))) |
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(*.f64 (+.f64 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(fma.f64 (+.f64 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
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(* 1/2 (- (exp x) (exp (neg x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
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(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
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(* 1/2 (- (exp x) (exp (* -1 x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
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(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
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(* 2 x) |
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(* x (+ 2 (* 1/3 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64))) |
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(- (exp x) (exp (neg x))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(- (exp x) (exp (neg x))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(- (exp x) (exp (neg x))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(- (exp x) (exp (neg x))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(- (exp x) (exp (* -1 x))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(- (exp x) (exp (* -1 x))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(- (exp x) (exp (* -1 x))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(- (exp x) (exp (* -1 x))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* x (+ 2 (* 1/3 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64))) |
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))) |
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(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) |
(* 1/2520 (pow x 7)) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/2520 binary64)) |
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (*.f64 x x)))) |
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) |
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(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6))))))) |
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(* 1/2520 (pow x 7)) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/2520 binary64)) |
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 #s(literal 1/2520 binary64) (/.f64 (+.f64 #s(literal -1/60 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (*.f64 x x)))) |
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2 |
#s(literal 2 binary64) |
(+ 2 (* 1/3 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) |
(* 1/2520 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2520 binary64)) |
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (*.f64 x x)))) |
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/2520 binary64) (+.f64 (/.f64 #s(literal 1/60 binary64) (*.f64 x x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6))))))) |
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/2520 binary64) (+.f64 (/.f64 #s(literal 1/60 binary64) (*.f64 x x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 2 binary64)) |
(* 1/2520 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2520 binary64)) |
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (*.f64 x x)))) |
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/2520 binary64) (+.f64 (/.f64 #s(literal 1/60 binary64) (*.f64 x x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6))))))) |
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/2520 binary64) (+.f64 (/.f64 #s(literal 1/60 binary64) (*.f64 x x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 2 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* 1/120 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(+ 1/6 (* 1/120 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(+ 1/6 (* 1/120 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
1/120 |
#s(literal 1/120 binary64) |
(+ 1/120 (* 1/5040 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(+ 1/120 (* 1/5040 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(+ 1/120 (* 1/5040 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(* 1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(* 1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* x (+ 1/120 (* 1/5040 (pow x 2)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(* x (+ 1/120 (* 1/5040 (pow x 2)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(* x (+ 1/120 (* 1/5040 (pow x 2)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(* 1/5040 (pow x 3)) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(* 1/5040 (pow x 3)) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* 1/120 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) |
(+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) |
(* 1/5040 (pow x 4)) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) |
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(* 1/5040 (pow x 4)) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) |
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
1/60 |
#s(literal 1/60 binary64) |
(+ 1/60 (* 1/2520 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) |
(+ 1/60 (* 1/2520 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) |
(+ 1/60 (* 1/2520 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) |
(* 1/2520 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2520 binary64)) |
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) |
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) |
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) |
(* 1/2520 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2520 binary64)) |
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) |
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) |
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) |
1/3 |
#s(literal 1/3 binary64) |
(+ 1/3 (* 1/60 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) |
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) |
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) |
(* 1/2520 (pow x 4)) |
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2520 binary64))) |
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) |
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x x) #s(literal 1/60 binary64))) |
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x x) #s(literal 1/60 binary64))) |
(* 1/2520 (pow x 4)) |
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2520 binary64))) |
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) |
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x x) #s(literal 1/60 binary64))) |
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2)))))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x x) #s(literal 1/60 binary64))) |
| 1× | batch-egg-rewrite |
| 5 908× | lower-fma.f32 |
| 5 890× | lower-fma.f64 |
| 4 172× | lower-*.f32 |
| 4 156× | lower-*.f64 |
| 3 100× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 274 |
| 0 | 65 | 252 |
| 1 | 302 | 246 |
| 2 | 2267 | 246 |
| 0 | 8201 | 240 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(sinh.f64 x) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x)) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x) |
(*.f64 x x) |
(*.f64 x #s(literal 1/6 binary64)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x)) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
#s(approx (- (exp x) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) |
(*.f64 x #s(literal 1/120 binary64)) |
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) |
| Outputs |
|---|
(+.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal -2 binary64))) |
(-.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64))) |
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))))) #s(literal 2 binary64)) (/.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))))) #s(literal 2 binary64))) |
(-.f64 (/.f64 (/.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64)) (/.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64))) |
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))))) (/.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))))))) |
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))) |
(-.f64 (/.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) #s(literal 4 binary64))) |
(-.f64 (/.f64 (*.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)))))) (/.f64 (*.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64))))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64))))) |
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)))) |
(neg.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal -2 binary64))) |
(sinh.f64 x) |
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x))))) |
(/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) #s(literal -2 binary64)) |
(/.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) |
(/.f64 (-.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))) #s(literal 4 binary64)) |
(/.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))))) (neg.f64 (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))))))) |
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))) (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))) |
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1/8 binary64)) (*.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) #s(literal 1/8 binary64))) (+.f64 (pow.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))))) |
(/.f64 (*.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) |
(/.f64 (-.f64 (neg.f64 (exp.f64 x)) (neg.f64 (exp.f64 (neg.f64 x)))) #s(literal -2 binary64)) |
(/.f64 (-.f64 (*.f64 (exp.f64 x) (/.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))))) |
(/.f64 (-.f64 (*.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) (exp.f64 x))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x)))) |
(/.f64 (-.f64 (*.f64 (exp.f64 x) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (exp.f64 (neg.f64 x))))) #s(literal -4 binary64)) |
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 (neg.f64 x)))) (*.f64 (/.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))) (*.f64 (/.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 2 binary64) (exp.f64 x)) (/.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x))) (*.f64 (/.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 2 binary64) (exp.f64 x)) (*.f64 #s(literal 2 binary64) (exp.f64 x)))) |
(/.f64 (-.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (exp.f64 x)) (neg.f64 (exp.f64 (neg.f64 x))))) (*.f64 (/.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal -2 binary64))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (exp.f64 x)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 x)))) #s(literal -4 binary64)) |
(/.f64 (-.f64 (*.f64 (neg.f64 (exp.f64 x)) (/.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (exp.f64 x)) (*.f64 #s(literal 2 binary64) (exp.f64 x))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (exp.f64 x)) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (neg.f64 (exp.f64 (neg.f64 x))))) #s(literal 4 binary64)) |
(/.f64 (neg.f64 (-.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))))) #s(literal -4 binary64)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (-.f64 (*.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1/8 binary64)) (*.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) #s(literal 1/8 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))) #s(literal 1/2 binary64))) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 1/2 binary64))) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) |
(/.f64 (fma.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1/8 binary64) (pow.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64))) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64))))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 x) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) #s(literal 2 binary64))) |
(*.f64 #s(literal 1 binary64) (sinh.f64 x)) |
(*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) #s(literal -1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) |
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -1 binary64))) |
(*.f64 (cosh.f64 x) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) |
(*.f64 (/.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))))) |
(*.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x)) |
(+.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) |
(+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) x) |
(-.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (neg.f64 x)))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))) (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (-.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) |
(fma.f64 x #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)) x) |
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x x) x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) x) |
(fma.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x x) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (fma.f64 x (*.f64 x x) (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (neg.f64 x)) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 x x)))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (fma.f64 x (-.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (fma.f64 x x (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (fma.f64 x (*.f64 x x) (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (neg.f64 x)) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 x x)) (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (neg.f64 x))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 x x))) (neg.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (neg.f64 x)))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (-.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (neg.f64 x))) (*.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (neg.f64 x)) (*.f64 x x))) (*.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (neg.f64 x)) (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (neg.f64 x)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 x x)))) (neg.f64 (neg.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (neg.f64 x))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (neg.f64 (-.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (neg.f64 x))) (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (neg.f64 x))) (fma.f64 (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (neg.f64 x))) (*.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (neg.f64 x))))))) |
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (fma.f64 x (*.f64 x x) (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (neg.f64 x)) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 x x))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (neg.f64 x)))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(*.f64 x x) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(*.f64 x #s(literal 1/6 binary64)) |
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(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) |
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(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) |
(fma.f64 #s(literal 1/2520 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2520 binary64)) (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) |
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/2520 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) |
(fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) x #s(literal 1/3 binary64)) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/2520 binary64) (fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) |
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal -1/3 binary64)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))) #s(literal -1/9 binary64))))) |
(/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))) #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal -1/3 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))))) #s(literal 1/27 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))) #s(literal 1/9 binary64)) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))))) #s(literal 1/27 binary64))) (neg.f64 (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))))) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))) #s(literal -1/9 binary64))) (neg.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal -1/3 binary64)))) |
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))))))) (-.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal -1/3 binary64))) (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal -1/3 binary64)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal -1/3 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))))) #s(literal 1/27 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))) #s(literal 1/9 binary64)) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))) #s(literal -1/9 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal -1/3 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))))))) (neg.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/16003008000 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2520 binary64)))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2520 binary64)))) (-.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2520 binary64)))) (fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))))) #s(literal 3 binary64)) (*.f64 #s(literal 1/216000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (fma.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))))) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))))) (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 (*.f64 x x) #s(literal 1/60 binary64))) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))))) (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal -1/3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal -1/3 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal -1/3 binary64))) (/.f64 (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal -1/3 binary64))) (fma.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal -1/3 binary64))) (*.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal -1/3 binary64))))))) |
(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))) #s(literal 1/9 binary64)) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))))) #s(literal 1/27 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal -1/3 binary64)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))) #s(literal -1/9 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))))) #s(literal 1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))) #s(literal 1/9 binary64)) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)))))) |
(*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal -1/3 binary64)))) |
Compiled 27 326 to 2 240 computations (91.8% saved)
27 alts after pruning (24 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 835 | 24 | 859 |
| Fresh | 1 | 0 | 1 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 838 | 27 | 865 |
| Status | Accuracy | Program |
|---|---|---|
| 93.7% | (/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2520 binary64)) x) x (fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64)) | |
| 68.7% | (/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal -1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)) | |
| 68.7% | (/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 (-.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/6350400 binary64))) (-.f64 #s(literal 1/60 binary64) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64)))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)) | |
| 68.7% | (/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal -1/60 binary64)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)) | |
| 93.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp (neg x))) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))))) | |
| ✓ | 100.0% | (sinh.f64 x) |
| 91.9% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x)) | |
| ▶ | 93.7% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x)) |
| 91.9% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x x)) | |
| 83.6% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) x)) | |
| 83.6% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x x)) | |
| 91.9% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) x)) | |
| ▶ | 91.4% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(approx (+ (* x (* x 1/120)) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x)) |
| ✓ | 83.6% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x)) |
| 91.9% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)) x)) | |
| 93.7% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))))) | |
| 93.7% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))))) | |
| 93.7% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x #s(literal 1 binary64)))) | |
| ▶ | 68.7% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
| ✓ | 93.7% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
| 54.6% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) | |
| ▶ | 93.2% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))) #s(literal 1 binary64)))) |
| 93.2% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)))) | |
| 83.6% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) | |
| ▶ | 49.3% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x #s(approx (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64)))) |
| 47.7% | #s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) | |
| 39.8% | #s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))))) |
Compiled 1 013 to 509 computations (49.8% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | #s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | #s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))) #s(literal 1 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 x #s(approx (+ (* x (* x 1/120)) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) (*.f64 x #s(approx (+ (* x (* x 1/120)) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x) |
| ✓ | cost-diff | 0 | #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(approx (+ (* x (* x 1/120)) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x)) |
| ✓ | cost-diff | 0 | #s(approx (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x #s(approx (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | #s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x #s(approx (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64)))) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x) |
| ✓ | cost-diff | 0 | #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x)) |
| 9 302× | lower-fma.f32 |
| 9 284× | lower-fma.f64 |
| 3 786× | lower-+.f64 |
| 3 786× | lower-+.f32 |
| 2 798× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 582 |
| 0 | 84 | 568 |
| 1 | 204 | 544 |
| 2 | 451 | 528 |
| 3 | 1075 | 528 |
| 4 | 1928 | 528 |
| 5 | 3986 | 528 |
| 6 | 5759 | 528 |
| 7 | 7347 | 528 |
| 0 | 8057 | 513 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x)) |
(fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
x |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(*.f64 x x) |
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
#s(literal 1/5040 binary64) |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x #s(approx (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64)))) |
(*.f64 x #s(approx (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64))) |
x |
#s(approx (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(approx (+ (* x (* x 1/120)) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x)) |
(fma.f64 (*.f64 x x) (*.f64 x #s(approx (+ (* x (* x 1/120)) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x) |
(*.f64 x x) |
x |
(*.f64 x #s(approx (+ (* x (* x 1/120)) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) |
#s(approx (+ (* x (* x 1/120)) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
#s(literal 1/120 binary64) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))) #s(literal 1 binary64)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))) #s(literal 1 binary64))) |
x |
(fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))) #s(literal 1 binary64)) |
(*.f64 x x) |
#s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
#s(literal 1/5040 binary64) |
#s(literal 1/120 binary64) |
#s(literal 1 binary64) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
x |
(fma.f64 (*.f64 x x) (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 x x) |
(fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
#s(literal 1/25401600 binary64) |
#s(literal -1/14400 binary64) |
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) |
#s(literal 1/5040 binary64) |
#s(literal -1/120 binary64) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
| Outputs |
|---|
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) x)) |
(fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) x) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) |
x |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) |
(*.f64 x x) |
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
#s(literal 1/5040 binary64) |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x #s(approx (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64)))) |
(*.f64 x #s(approx (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64))) |
x |
#s(approx (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(approx (+ (* x (* x 1/120)) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 #s(approx (+ (* x (* x 1/120)) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x)) x)) |
(fma.f64 (*.f64 x x) (*.f64 x #s(approx (+ (* x (* x 1/120)) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x) |
(fma.f64 #s(approx (+ (* x (* x 1/120)) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x)) x) |
(*.f64 x x) |
x |
(*.f64 x #s(approx (+ (* x (* x 1/120)) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) |
#s(approx (+ (* x (* x 1/120)) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
#s(literal 1/120 binary64) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))) #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))) (*.f64 x (*.f64 x x)) x)) |
(*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))) #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))) (*.f64 x (*.f64 x x)) x) |
x |
(fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))) #s(literal 1 binary64)) |
(*.f64 x x) |
#s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
#s(literal 1/5040 binary64) |
#s(literal 1/120 binary64) |
#s(literal 1 binary64) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (fma.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x)) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
x |
(fma.f64 (*.f64 x x) (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 x x) |
(fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) |
(fma.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) |
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64))) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(*.f64 x (*.f64 x (*.f64 x x))) |
#s(literal 1/25401600 binary64) |
#s(literal -1/14400 binary64) |
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) |
#s(literal 1/5040 binary64) |
#s(literal -1/120 binary64) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) (*.f64 x x)) |
| ✓ | accuracy | 99.2% | (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) |
| ✓ | accuracy | 93.7% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
| ✓ | accuracy | 72.4% | (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) |
| ✓ | accuracy | 99.9% | (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
| ✓ | accuracy | 99.2% | (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
| ✓ | accuracy | 93.7% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))) #s(literal 1 binary64)))) |
| ✓ | accuracy | 54.8% | #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
| ✓ | accuracy | 99.7% | (*.f64 x #s(approx (+ (* x (* x 1/120)) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) |
| ✓ | accuracy | 91.9% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(approx (+ (* x (* x 1/120)) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x)) |
| ✓ | accuracy | 54.5% | #s(approx (+ (* x (* x 1/120)) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(approx (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64))) |
| ✓ | accuracy | 93.7% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x #s(approx (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64)))) |
| ✓ | accuracy | 48.2% | #s(approx (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.9% | (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
| ✓ | accuracy | 99.2% | (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
| ✓ | accuracy | 93.7% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x)) |
| 62.0ms | 142× | 0 | valid |
| 61.0ms | 76× | 1 | valid |
| 52.0ms | 38× | 2 | valid |
Compiled 433 to 53 computations (87.8% saved)
ival-mult: 52.0ms (36.3% of total)const: 24.0ms (16.8% of total)ival-exp: 21.0ms (14.7% of total)adjust: 19.0ms (13.3% of total)ival-add: 18.0ms (12.6% of total)ival-div: 5.0ms (3.5% of total)ival-sub: 2.0ms (1.4% of total)ival-neg: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x) (patch (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x) #<representation binary64>) () ()) |
#s(alt (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (patch (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (patch (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x #s(approx (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64)))) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x #s(approx (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(approx (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(approx (+ (* x (* x 1/120)) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(approx (+ (* x (* x 1/120)) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x x) (*.f64 x #s(approx (+ (* x (* x 1/120)) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x) (patch (fma.f64 (*.f64 x x) (*.f64 x #s(approx (+ (* x (* x 1/120)) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(approx (+ (* x (* x 1/120)) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) (patch (*.f64 x #s(approx (+ (* x (* x 1/120)) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))) #s(literal 1 binary64)))) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))) #s(literal 1 binary64))) (patch (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (patch (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x x) (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 x x) (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* x (* x 1/120)) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (patch #s(approx (+ (* x (* x 1/120)) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))) (patch #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (patch (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) (patch (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x x) (*.f64 x x)) (patch (*.f64 (*.f64 x x) (*.f64 x x)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* 1/6 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) (taylor 0 x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) (taylor 0 x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp x) (exp (neg x)))) (taylor inf x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp x) (exp (neg x)))) (taylor inf x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp x) (exp (neg x)))) (taylor inf x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp x) (exp (neg x)))) (taylor inf x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp x) (exp (* -1 x)))) (taylor -inf x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp x) (exp (* -1 x)))) (taylor -inf x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp x) (exp (* -1 x)))) (taylor -inf x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp x) (exp (* -1 x)))) (taylor -inf x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 x) (#s(alt (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x) (patch (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* 1/6 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x) (patch (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x) (patch (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x) (patch (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/5040 (pow x 7)) (taylor inf x) (#s(alt (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x) (patch (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x) (patch (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x) (patch (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x) (patch (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/5040 (pow x 7)) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x) (patch (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x) (patch (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x) (patch (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x) (patch (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 x) (taylor 0 x) (#s(alt (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (patch (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/6 (* 1/120 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (patch (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))) (taylor 0 x) (#s(alt (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (patch (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))) (taylor 0 x) (#s(alt (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (patch (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/5040 (pow x 5)) (taylor inf x) (#s(alt (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (patch (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 5) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (patch (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 5) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (patch (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 5) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (patch (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/5040 (pow x 5)) (taylor -inf x) (#s(alt (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (patch (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 5) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (patch (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040))) (taylor -inf x) (#s(alt (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (patch (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) (patch (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) (patch (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #<representation binary64>) () ())) ()) |
#s(alt -1/120 (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/5040 (pow x 2)) 1/120) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/5040 (pow x 2)) 1/120) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/5040 (pow x 2)) 1/120) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/5040 (pow x 2)) (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/5040 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) (*.f64 x x)) (patch (*.f64 (*.f64 x x) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) (*.f64 x x)) (patch (*.f64 (*.f64 x x) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) (*.f64 x x)) (patch (*.f64 (*.f64 x x) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) (*.f64 x x)) (patch (*.f64 (*.f64 x x) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) (*.f64 x x)) (patch (*.f64 (*.f64 x x) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) (*.f64 x x)) (patch (*.f64 (*.f64 x x) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) (*.f64 x x)) (patch (*.f64 (*.f64 x x) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) (*.f64 x x)) (patch (*.f64 (*.f64 x x) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) (*.f64 x x)) (patch (*.f64 (*.f64 x x) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) (*.f64 x x)) (patch (*.f64 (*.f64 x x) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) (*.f64 x x)) (patch (*.f64 (*.f64 x x) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) (*.f64 x x)) (patch (*.f64 (*.f64 x x) (*.f64 x x)) #<representation binary64>) () ())) ()) |
75 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (/ (* (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) x) (+ (* (* x x) 1/5040) -1/120)) |
| 0.0ms | x | @ | 0 | (/ (* (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) x) (+ (* (* x x) 1/5040) -1/120)) |
| 0.0ms | x | @ | inf | (* x (+ (* (* x x) (+ (* x (/ (* (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) x) (+ (* (* x x) 1/5040) -1/120))) 1/6)) 1)) |
| 0.0ms | x | @ | 0 | (* x (+ (* (* x x) (+ (* x (/ (* (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) x) (+ (* (* x x) 1/5040) -1/120))) 1/6)) 1)) |
| 0.0ms | x | @ | inf | (+ (* (* x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) (* x x)) x) |
| 1× | egg-herbie |
| 8 048× | lower-fma.f64 |
| 8 048× | lower-fma.f32 |
| 3 634× | lower-*.f64 |
| 3 634× | lower-*.f32 |
| 1 604× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 108 | 2800 |
| 1 | 356 | 2736 |
| 2 | 937 | 2698 |
| 3 | 2473 | 2692 |
| 4 | 6263 | 2692 |
| 0 | 8310 | 2484 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(* 1/5040 (pow x 7)) |
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/5040 (pow x 7)) |
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))))) |
(* 1/6 x) |
(* x (+ 1/6 (* 1/120 (pow x 2)))) |
(* x (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))) |
(* x (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))) |
(* 1/5040 (pow x 5)) |
(* (pow x 5) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* (pow x 5) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* 1/5040 (pow x 5)) |
(* (pow x 5) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040))) |
1/6 |
(+ 1/6 (* 1/120 (pow x 2))) |
(+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))) |
(+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))) |
(* 1/5040 (pow x 4)) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* 1/5040 (pow x 4)) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(* 1/5040 (pow x 7)) |
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/5040 (pow x 7)) |
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))))) |
1 |
(+ 1 (* 1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))) |
(* 1/5040 (pow x 6)) |
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/5040 (pow x 6)) |
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(* 1/120 (pow x 5)) |
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/120 (pow x 5)) |
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 1/6 x) |
(* x (+ 1/6 (* 1/120 (pow x 2)))) |
(* x (+ 1/6 (* 1/120 (pow x 2)))) |
(* x (+ 1/6 (* 1/120 (pow x 2)))) |
(* 1/120 (pow x 3)) |
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* 1/120 (pow x 3)) |
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(* 1/5040 (pow x 7)) |
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/5040 (pow x 7)) |
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))))) |
1 |
(+ 1 (* 1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))) |
(* 1/5040 (pow x 6)) |
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/5040 (pow x 6)) |
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(* 1/5040 (pow x 7)) |
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/5040 (pow x 7)) |
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))))) |
1 |
(+ 1 (* 1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))) |
(* 1/5040 (pow x 6)) |
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/5040 (pow x 6)) |
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
1/120 |
(+ 1/120 (* 1/5040 (pow x 2))) |
(+ 1/120 (* 1/5040 (pow x 2))) |
(+ 1/120 (* 1/5040 (pow x 2))) |
(* 1/5040 (pow x 2)) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* 1/5040 (pow x 2)) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
1/6 |
(+ 1/6 (* 1/120 (pow x 2))) |
(+ 1/6 (* 1/120 (pow x 2))) |
(+ 1/6 (* 1/120 (pow x 2))) |
(* 1/120 (pow x 2)) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* 1/120 (pow x 2)) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
1/6 |
(+ 1/6 (* 1/120 (pow x 2))) |
(+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))) |
(+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))) |
(* 1/5040 (pow x 4)) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* 1/5040 (pow x 4)) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* 1/120 x) |
(* x (+ 1/120 (* 1/5040 (pow x 2)))) |
(* x (+ 1/120 (* 1/5040 (pow x 2)))) |
(* x (+ 1/120 (* 1/5040 (pow x 2)))) |
(* 1/5040 (pow x 3)) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* 1/5040 (pow x 3)) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* 1/120 x) |
(* x (+ 1/120 (* 1/5040 (pow x 2)))) |
(* x (+ 1/120 (* 1/5040 (pow x 2)))) |
(* x (+ 1/120 (* 1/5040 (pow x 2)))) |
(* 1/5040 (pow x 3)) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* 1/5040 (pow x 3)) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
-1/120 |
(- (* 1/5040 (pow x 2)) 1/120) |
(- (* 1/5040 (pow x 2)) 1/120) |
(- (* 1/5040 (pow x 2)) 1/120) |
(* 1/5040 (pow x 2)) |
(* (pow x 2) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* 1/5040 (pow x 2)) |
(* (pow x 2) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
| Outputs |
|---|
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) |
(* 1/5040 (pow x 7)) |
(*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x)))) |
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(* 1/5040 (pow x 7)) |
(*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 #s(literal 1/5040 binary64) (/.f64 (-.f64 #s(literal -1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x)))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* x (+ 1/6 (* 1/120 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
(* x (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
(* x (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
(* 1/5040 (pow x 5)) |
(*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(* (pow x 5) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x x))) |
(* (pow x 5) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
(* (pow x 5) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
(* 1/5040 (pow x 5)) |
(*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(* (pow x 5) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x x))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* 1/120 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(* 1/5040 (pow x 4)) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(* 1/5040 (pow x 4)) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) |
(* 1/5040 (pow x 7)) |
(*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x)))) |
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(* 1/5040 (pow x 7)) |
(*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 #s(literal 1/5040 binary64) (/.f64 (-.f64 #s(literal -1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x)))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/6 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
(* 1/5040 (pow x 6)) |
(*.f64 x (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(fma.f64 (+.f64 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) |
(* 1/5040 (pow x 6)) |
(*.f64 x (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
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x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
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1 |
#s(literal 1 binary64) |
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x |
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x |
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1 |
#s(literal 1 binary64) |
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(* 1/5040 (pow x 6)) |
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(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(fma.f64 (+.f64 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) |
(* 1/5040 (pow x 6)) |
(*.f64 x (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(fma.f64 (+.f64 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) |
1/120 |
#s(literal 1/120 binary64) |
(+ 1/120 (* 1/5040 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(+ 1/120 (* 1/5040 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(+ 1/120 (* 1/5040 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(* 1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(* 1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* 1/120 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(+ 1/6 (* 1/120 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(+ 1/6 (* 1/120 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* 1/120 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(* 1/5040 (pow x 4)) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(* 1/5040 (pow x 4)) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* x (+ 1/120 (* 1/5040 (pow x 2)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(* x (+ 1/120 (* 1/5040 (pow x 2)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(* x (+ 1/120 (* 1/5040 (pow x 2)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(* 1/5040 (pow x 3)) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(* 1/5040 (pow x 3)) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* x (+ 1/120 (* 1/5040 (pow x 2)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(* x (+ 1/120 (* 1/5040 (pow x 2)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(* x (+ 1/120 (* 1/5040 (pow x 2)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(* 1/5040 (pow x 3)) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(* 1/5040 (pow x 3)) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
-1/120 |
#s(literal -1/120 binary64) |
(- (* 1/5040 (pow x 2)) 1/120) |
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) |
(- (* 1/5040 (pow x 2)) 1/120) |
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) |
(- (* 1/5040 (pow x 2)) 1/120) |
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) |
(* 1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
(* (pow x 2) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) |
(* (pow x 2) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) |
(* (pow x 2) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) |
(* 1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
(* (pow x 2) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) |
(* (pow x 2) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) |
(* (pow x 2) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
| 1× | batch-egg-rewrite |
| 7 238× | lower-fma.f32 |
| 7 220× | lower-fma.f64 |
| 4 362× | lower-*.f32 |
| 4 340× | lower-*.f64 |
| 3 560× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 494 |
| 0 | 84 | 425 |
| 1 | 389 | 391 |
| 2 | 2734 | 391 |
| 0 | 8829 | 379 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x)) |
(fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x #s(approx (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64)))) |
(*.f64 x #s(approx (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64))) |
#s(approx (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(approx (+ (* x (* x 1/120)) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x)) |
(fma.f64 (*.f64 x x) (*.f64 x #s(approx (+ (* x (* x 1/120)) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x) |
(*.f64 x x) |
(*.f64 x #s(approx (+ (* x (* x 1/120)) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))) #s(literal 1 binary64)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))) #s(literal 1 binary64)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
#s(approx (+ (* x (* x 1/120)) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
#s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
| Outputs |
|---|
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) x)) |
(+.f64 x (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))))) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))) x) |
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/128024064000 binary64)) #s(literal -1/1728000 binary64)) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal 1/14400 binary64)) (*.f64 (*.f64 x x) #s(literal -1/604800 binary64)))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/128024064000 binary64)) #s(literal -1/1728000 binary64)) (+.f64 #s(literal 1/14400 binary64) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64))) (*.f64 (*.f64 x x) #s(literal -1/604800 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal 1/14400 binary64)) (*.f64 (*.f64 x x) #s(literal -1/604800 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/128024064000 binary64)) #s(literal -1/1728000 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64))))) |
(/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/128024064000 binary64)) #s(literal -1/1728000 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal 1/14400 binary64)) (*.f64 (*.f64 x x) #s(literal -1/604800 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/128024064000 binary64)) #s(literal -1/1728000 binary64))) (neg.f64 (+.f64 #s(literal 1/14400 binary64) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64))) (*.f64 (*.f64 x x) #s(literal -1/604800 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64))) (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/128024064000 binary64))) #s(literal 1/1728000 binary64)) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64))) (+.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) #s(literal 1/604800 binary64))))) |
(/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)))) (-.f64 #s(literal -1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64))) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/14400 binary64))) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/128024064000 binary64)) #s(literal -1/1728000 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal 1/14400 binary64)) (*.f64 (*.f64 x x) #s(literal -1/604800 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/128024064000 binary64))) #s(literal 1/1728000 binary64))) (neg.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64))) (+.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) #s(literal 1/604800 binary64)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64))))) (neg.f64 (-.f64 #s(literal -1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64))) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/14400 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64))) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64))) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (fma.f64 (/.f64 #s(literal 1/14400 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (/.f64 #s(literal 1/14400 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64))) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (/.f64 #s(literal 1/14400 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))))) |
(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal 1/14400 binary64)) (*.f64 (*.f64 x x) #s(literal -1/604800 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/128024064000 binary64)) #s(literal -1/1728000 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/128024064000 binary64)) #s(literal -1/1728000 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal 1/14400 binary64)) (*.f64 (*.f64 x x) #s(literal -1/604800 binary64))))) |
(*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) |
(*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal 1/14400 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal 1/14400 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/16390160963076096000000 binary64)) #s(literal -1/2985984000000 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/645241282560000 binary64) #s(literal 1/207360000 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/365783040000 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal 1/14400 binary64)) (*.f64 (*.f64 x x) #s(literal 1/604800 binary64)))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/16390160963076096000000 binary64)) #s(literal -1/2985984000000 binary64)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/645241282560000 binary64) #s(literal 1/207360000 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/365783040000 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/645241282560000 binary64) #s(literal -1/207360000 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal 1/14400 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal 1/14400 binary64)) (*.f64 (*.f64 x x) #s(literal 1/604800 binary64)))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) |
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 (*.f64 x x)))) |
(pow.f64 x #s(literal 4 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) |
(*.f64 (*.f64 x (*.f64 x x)) x) |
Compiled 39 706 to 2 505 computations (93.7% saved)
38 alts after pruning (33 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 078 | 20 | 1 098 |
| Fresh | 6 | 13 | 19 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 2 | 3 |
| Total | 1 087 | 38 | 1 125 |
| Status | Accuracy | Program |
|---|---|---|
| 93.7% | (/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2520 binary64)) x) x (fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64)) | |
| 68.7% | (/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal -1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)) | |
| 93.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp (neg x))) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))))) | |
| ✓ | 100.0% | (sinh.f64 x) |
| ▶ | 93.7% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 x x) (*.f64 x #s(literal 1/6 binary64))) (*.f64 x x) x)) |
| 91.9% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x)) | |
| 55.3% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) (*.f64 x x) x)) | |
| 69.5% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64))))) #s(literal 1/6 binary64))) (*.f64 x x) x)) | |
| 69.5% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64))) (/.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64))) (*.f64 x x) x)) | |
| ✓ | 93.7% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x)) |
| ▶ | 69.5% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64))) (*.f64 x x) x)) |
| 69.5% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)))) (-.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))) #s(literal 1/6 binary64))) (*.f64 x x) x)) | |
| ▶ | 91.9% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x)) |
| 91.9% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x x)) | |
| ▶ | 93.2% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))) x)) |
| 83.6% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) x)) | |
| 83.6% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x x)) | |
| 93.2% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x #s(approx (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))) (*.f64 x x) x)) | |
| 93.2% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x #s(approx (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x) x)) | |
| ✓ | 91.4% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(approx (+ (* x (* x 1/120)) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x)) |
| ✓ | 83.6% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x)) |
| 93.2% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 #s(approx (* x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x x)))) (*.f64 x x) x)) | |
| 29.8% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (/.f64 (*.f64 (fma.f64 #s(approx (+ (* x (* x 1/120)) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x)) x) (fma.f64 x (*.f64 #s(approx (+ (* x (* x 1/120)) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x)) (neg.f64 x))) (fma.f64 x (*.f64 #s(approx (+ (* x (* x 1/120)) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x)) (neg.f64 x)))) | |
| 93.7% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))))) | |
| 93.7% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))))) | |
| 93.7% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x #s(literal 1 binary64)))) | |
| 46.3% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) #s(approx (+ (* (* x x) 1/5040) -1/120) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) | |
| 69.0% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (/.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)))))) #s(literal 1 binary64)))) | |
| 69.0% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)))))) #s(literal 1 binary64)))) | |
| 93.2% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x #s(approx (+ (* (* x x) 1/5040) 1/120) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))) #s(literal 1 binary64)))) | |
| 83.6% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) | |
| 49.6% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x #s(approx (+ (* (* x x) (+ (* x (/ (* (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) x) (+ (* (* x x) 1/5040) -1/120))) 1/6)) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))))) | |
| 49.5% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x #s(approx (+ (* (* x x) (+ (* x (/ (* (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) x) (+ (* (* x x) 1/5040) -1/120))) 1/6)) 1) (*.f64 x (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))) | |
| ✓ | 49.3% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x #s(approx (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64)))) |
| 47.9% | #s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))) | |
| 47.7% | #s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))))) | |
| 47.7% | #s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) | |
| ▶ | 39.8% | #s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))))) |
Compiled 1 558 to 743 computations (52.3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (fma.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64))) (*.f64 x x) x) |
| ✓ | cost-diff | 0 | #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64))) (*.f64 x x) x)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x x)) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))) x) |
| ✓ | cost-diff | 0 | #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))) x)) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x) |
| ✓ | cost-diff | 0 | #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x)) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x x)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) |
| ✓ | cost-diff | 0 | #s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))) |
| ✓ | cost-diff | 0 | #s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))))) |
| ✓ | cost-diff | 0 | (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 x x) (*.f64 x #s(literal 1/6 binary64))) (*.f64 x x) x) |
| ✓ | cost-diff | 0 | #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 x x) (*.f64 x #s(literal 1/6 binary64))) (*.f64 x x) x)) |
| ✓ | cost-diff | 320 | (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 x x) (*.f64 x #s(literal 1/6 binary64))) |
| 16 806× | lower-fma.f32 |
| 16 786× | lower-fma.f64 |
| 5 810× | lower-*.f32 |
| 5 790× | lower-*.f64 |
| 1 958× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 540 |
| 0 | 84 | 517 |
| 1 | 180 | 504 |
| 2 | 359 | 490 |
| 3 | 699 | 490 |
| 4 | 1225 | 490 |
| 5 | 1847 | 490 |
| 6 | 2751 | 490 |
| 7 | 4150 | 490 |
| 8 | 5741 | 490 |
| 9 | 7782 | 490 |
| 0 | 8015 | 470 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 x x) (*.f64 x #s(literal 1/6 binary64))) (*.f64 x x) x)) |
(fma.f64 (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 x x) (*.f64 x #s(literal 1/6 binary64))) (*.f64 x x) x) |
(fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 x x) (*.f64 x #s(literal 1/6 binary64))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
x |
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
(*.f64 x #s(literal 1/5040 binary64)) |
#s(literal 1/5040 binary64) |
#s(literal 1/120 binary64) |
(*.f64 x x) |
(*.f64 x #s(literal 1/6 binary64)) |
#s(literal 1/6 binary64) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))))) |
#s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) |
#s(literal 1/6 binary64) |
(*.f64 x (*.f64 x x)) |
x |
(*.f64 x x) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x)) |
(fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x) |
(*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
x |
(fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(*.f64 x x) |
#s(approx (+ (* (* x x) 1/5040) 1/120) #s(literal 1/120 binary64)) |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))) x)) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))) x) |
(*.f64 x (*.f64 x x)) |
x |
(*.f64 x x) |
#s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
(*.f64 x #s(literal 1/5040 binary64)) |
#s(literal 1/5040 binary64) |
#s(literal 1/120 binary64) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64))) (*.f64 x x) x)) |
(fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64))) (*.f64 x x) x) |
(*.f64 x (fma.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64))) |
x |
(fma.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) |
(*.f64 x x) |
(/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) |
(*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) |
#s(literal 1/25401600 binary64) |
#s(literal -1/14400 binary64) |
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) |
(*.f64 x #s(literal 1/5040 binary64)) |
#s(literal 1/5040 binary64) |
#s(literal -1/120 binary64) |
#s(literal 1/6 binary64) |
| Outputs |
|---|
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 x x) (*.f64 x #s(literal 1/6 binary64))) (*.f64 x x) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) x)) |
(fma.f64 (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 x x) (*.f64 x #s(literal 1/6 binary64))) (*.f64 x x) x) |
(fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) x) |
(fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 x x) (*.f64 x #s(literal 1/6 binary64))) |
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
(*.f64 x (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) |
x |
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
(fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) |
(*.f64 x #s(literal 1/5040 binary64)) |
#s(literal 1/5040 binary64) |
#s(literal 1/120 binary64) |
(*.f64 x x) |
(*.f64 x #s(literal 1/6 binary64)) |
#s(literal 1/6 binary64) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64))))) |
#s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))) |
#s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64))) |
#s(literal 1/6 binary64) |
(*.f64 x (*.f64 x x)) |
x |
(*.f64 x x) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) 1/5040) 1/120) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) x)) |
(fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x) |
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) 1/5040) 1/120) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) x) |
(*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
(*.f64 x (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) 1/5040) 1/120) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) |
x |
(fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(fma.f64 x (*.f64 x #s(approx (+ (* (* x x) 1/5040) 1/120) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) |
(*.f64 x x) |
#s(approx (+ (* (* x x) 1/5040) 1/120) #s(literal 1/120 binary64)) |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))))) x)) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))) x) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))))) x) |
(*.f64 x (*.f64 x x)) |
x |
(*.f64 x x) |
#s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))) |
#s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) |
(*.f64 x (*.f64 x (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
(*.f64 x (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) |
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
(fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) |
(*.f64 x #s(literal 1/5040 binary64)) |
#s(literal 1/5040 binary64) |
#s(literal 1/120 binary64) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64))) (*.f64 x x) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) x)) |
(fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64))) (*.f64 x x) x) |
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) x) |
(*.f64 x (fma.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64))) |
(*.f64 x (fma.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64))) |
x |
(fma.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) |
(fma.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) |
(*.f64 x x) |
(/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) |
(*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) |
#s(literal 1/25401600 binary64) |
#s(literal -1/14400 binary64) |
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) |
(*.f64 x #s(literal 1/5040 binary64)) |
#s(literal 1/5040 binary64) |
#s(literal -1/120 binary64) |
#s(literal 1/6 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (*.f64 x (fma.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64))) |
| ✓ | accuracy | 99.0% | (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) |
| ✓ | accuracy | 93.7% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64))) (*.f64 x x) x)) |
| ✓ | accuracy | 66.2% | (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) |
| ✓ | accuracy | 99.9% | (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
| ✓ | accuracy | 99.8% | (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
| ✓ | accuracy | 93.7% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))) x)) |
| ✓ | accuracy | 54.8% | #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))) |
| ✓ | accuracy | 99.9% | (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
| ✓ | accuracy | 93.7% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x)) |
| ✓ | accuracy | 48.7% | #s(approx (+ (* (* x x) 1/5040) 1/120) #s(literal 1/120 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 99.7% | (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) |
| ✓ | accuracy | 83.6% | #s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))))) |
| ✓ | accuracy | 55.5% | #s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))) |
| ✓ | accuracy | 99.9% | (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
| ✓ | accuracy | 99.8% | (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
| ✓ | accuracy | 99.5% | (*.f64 x #s(literal 1/6 binary64)) |
| ✓ | accuracy | 93.7% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 x x) (*.f64 x #s(literal 1/6 binary64))) (*.f64 x x) x)) |
| 93.0ms | 38× | 2 | valid |
| 78.0ms | 142× | 0 | valid |
| 60.0ms | 76× | 1 | valid |
Compiled 413 to 50 computations (87.9% saved)
ival-mult: 97.0ms (49% of total)adjust: 28.0ms (14.1% of total)const: 23.0ms (11.6% of total)ival-exp: 20.0ms (10.1% of total)ival-add: 19.0ms (9.6% of total)ival-div: 6.0ms (3% of total)ival-sub: 2.0ms (1% of total)ival-neg: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 x x) (*.f64 x #s(literal 1/6 binary64))) (patch (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 x x) (*.f64 x #s(literal 1/6 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 x x) (*.f64 x #s(literal 1/6 binary64))) (*.f64 x x) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 x x) (*.f64 x #s(literal 1/6 binary64))) (*.f64 x x) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 x x) (*.f64 x #s(literal 1/6 binary64))) (*.f64 x x) x) (patch (fma.f64 (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 x x) (*.f64 x #s(literal 1/6 binary64))) (*.f64 x x) x) #<representation binary64>) () ()) |
#s(alt (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (patch (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))))) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))) (patch #s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (patch (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x) (patch (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x) #<representation binary64>) () ()) |
#s(alt (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (patch (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (patch (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))) x) (patch (fma.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))) x) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64))) (*.f64 x x) x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64))) (*.f64 x x) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64))) (*.f64 x x) x) (patch (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64))) (*.f64 x x) x) #<representation binary64>) () ()) |
#s(alt (*.f64 x (fma.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64))) (patch (*.f64 x (fma.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) (patch (fma.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(literal 1/6 binary64)) (patch (*.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (patch (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (* x x) 1/5040) 1/120) #s(literal 1/120 binary64)) (patch #s(approx (+ (* (* x x) 1/5040) 1/120) #s(literal 1/120 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))) (patch #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) (patch (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 1/6 x) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 x x) (*.f64 x #s(literal 1/6 binary64))) (patch (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 x x) (*.f64 x #s(literal 1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/6 (* 1/120 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 x x) (*.f64 x #s(literal 1/6 binary64))) (patch (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 x x) (*.f64 x #s(literal 1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 x x) (*.f64 x #s(literal 1/6 binary64))) (patch (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 x x) (*.f64 x #s(literal 1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 x x) (*.f64 x #s(literal 1/6 binary64))) (patch (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 x x) (*.f64 x #s(literal 1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/5040 (pow x 5)) (taylor inf x) (#s(alt (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 x x) (*.f64 x #s(literal 1/6 binary64))) (patch (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 x x) (*.f64 x #s(literal 1/6 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (+ 1/120 (* 1/5040 (pow x 2))) (taylor 0 x) (#s(alt #s(approx (+ (* (* x x) 1/5040) 1/120) #s(literal 1/120 binary64)) (patch #s(approx (+ (* (* x x) 1/5040) 1/120) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/120 (* 1/5040 (pow x 2))) (taylor 0 x) (#s(alt #s(approx (+ (* (* x x) 1/5040) 1/120) #s(literal 1/120 binary64)) (patch #s(approx (+ (* (* x x) 1/5040) 1/120) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/120 (* 1/5040 (pow x 2))) (taylor 0 x) (#s(alt #s(approx (+ (* (* x x) 1/5040) 1/120) #s(literal 1/120 binary64)) (patch #s(approx (+ (* (* x x) 1/5040) 1/120) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/5040 (pow x 2)) (taylor inf x) (#s(alt #s(approx (+ (* (* x x) 1/5040) 1/120) #s(literal 1/120 binary64)) (patch #s(approx (+ (* (* x x) 1/5040) 1/120) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt #s(approx (+ (* (* x x) 1/5040) 1/120) #s(literal 1/120 binary64)) (patch #s(approx (+ (* (* x x) 1/5040) 1/120) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt #s(approx (+ (* (* x x) 1/5040) 1/120) #s(literal 1/120 binary64)) (patch #s(approx (+ (* (* x x) 1/5040) 1/120) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt #s(approx (+ (* (* x x) 1/5040) 1/120) #s(literal 1/120 binary64)) (patch #s(approx (+ (* (* x x) 1/5040) 1/120) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/5040 (pow x 2)) (taylor -inf x) (#s(alt #s(approx (+ (* (* x x) 1/5040) 1/120) #s(literal 1/120 binary64)) (patch #s(approx (+ (* (* x x) 1/5040) 1/120) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (* (* x x) 1/5040) 1/120) #s(literal 1/120 binary64)) (patch #s(approx (+ (* (* x x) 1/5040) 1/120) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (* (* x x) 1/5040) 1/120) #s(literal 1/120 binary64)) (patch #s(approx (+ (* (* x x) 1/5040) 1/120) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (* (* x x) 1/5040) 1/120) #s(literal 1/120 binary64)) (patch #s(approx (+ (* (* x x) 1/5040) 1/120) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 1/6 (taylor 0 x) (#s(alt #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))) (patch #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/6 (* 1/120 (pow x 2))) (taylor 0 x) (#s(alt #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))) (patch #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))) (taylor 0 x) (#s(alt #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))) (patch #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))) (taylor 0 x) (#s(alt #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))) (patch #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/5040 (pow x 4)) (taylor inf x) (#s(alt #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))) (patch #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))) (patch #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))) (patch #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))) (patch #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/5040 (pow x 4)) (taylor -inf x) (#s(alt #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))) (patch #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))) (patch #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))) (patch #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))) (patch #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt 1/120 (taylor 0 x) (#s(alt (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) (patch (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/120 (* 1/5040 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) (patch (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/120 (* 1/5040 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) (patch (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/120 (* 1/5040 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) (patch (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/5040 (pow x 2)) (taylor inf x) (#s(alt (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) (patch (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) (patch (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) (patch (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) (patch (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/5040 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) (patch (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) (patch (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) (patch (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) (patch (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/25401600 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/25401600 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/25401600 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/25401600 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/25401600 (pow x 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/25401600 (pow x 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/25401600 (pow x 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/25401600 (pow x 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/25401600 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/25401600 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/25401600 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/25401600 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #<representation binary64>) () ())) ()) |
75 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | inf | (* x (+ (* (* x x) (/ (+ (* (* x x) (* (* x x) 1/25401600)) -1/14400) (+ (* x (* x 1/5040)) -1/120))) 1/6)) |
| 0.0ms | x | @ | -inf | (* x (* x x)) |
| 0.0ms | x | @ | inf | (+ (* (* x (+ (* (* x x) (/ (+ (* (* x x) (* (* x x) 1/25401600)) -1/14400) (+ (* x (* x 1/5040)) -1/120))) 1/6)) (* x x)) x) |
| 0.0ms | x | @ | inf | (* (* x x) 1/25401600) |
| 0.0ms | x | @ | -inf | (+ (* (* x (+ (* (* x x) (/ (+ (* (* x x) (* (* x x) 1/25401600)) -1/14400) (+ (* x (* x 1/5040)) -1/120))) 1/6)) (* x x)) x) |
| 1× | egg-herbie |
| 9 624× | lower-fma.f64 |
| 9 624× | lower-fma.f32 |
| 2 932× | lower-*.f64 |
| 2 932× | lower-*.f32 |
| 1 804× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 90 | 2606 |
| 1 | 283 | 2534 |
| 2 | 744 | 2526 |
| 3 | 1954 | 2526 |
| 4 | 5132 | 2526 |
| 5 | 7883 | 2526 |
| 0 | 8097 | 2349 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/6 x) |
(* x (+ 1/6 (* 1/120 (pow x 2)))) |
(* x (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))) |
(* x (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))) |
(* 1/5040 (pow x 5)) |
(* (pow x 5) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* (pow x 5) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* 1/5040 (pow x 5)) |
(* (pow x 5) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040))) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(* 1/5040 (pow x 7)) |
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/5040 (pow x 7)) |
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))))) |
(* 1/120 x) |
(* x (+ 1/120 (* 1/5040 (pow x 2)))) |
(* x (+ 1/120 (* 1/5040 (pow x 2)))) |
(* x (+ 1/120 (* 1/5040 (pow x 2)))) |
(* 1/5040 (pow x 3)) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* 1/5040 (pow x 3)) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* 1/6 (pow x 3)) |
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2)))) |
(* 1/6 (pow x 3)) |
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2)))) |
(* 1/6 (pow x 3)) |
(* 1/6 (pow x 3)) |
(* 1/6 (pow x 3)) |
(* 1/6 (pow x 3)) |
(* 1/6 (pow x 3)) |
(* 1/6 (pow x 3)) |
(* 1/6 (pow x 3)) |
(* 1/6 (pow x 3)) |
(* 1/6 (pow x 3)) |
(* 1/6 (pow x 3)) |
(* 1/6 (pow x 3)) |
(* 1/6 (pow x 3)) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(* 1/5040 (pow x 7)) |
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/5040 (pow x 7)) |
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))))) |
(* 1/6 x) |
(* x (+ 1/6 (* 1/120 (pow x 2)))) |
(* x (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))) |
(* x (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))) |
(* 1/5040 (pow x 5)) |
(* (pow x 5) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* (pow x 5) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* 1/5040 (pow x 5)) |
(* (pow x 5) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040))) |
1/6 |
(+ 1/6 (* 1/120 (pow x 2))) |
(+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))) |
(+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))) |
(* 1/5040 (pow x 4)) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* 1/5040 (pow x 4)) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(* 1/5040 (pow x 7)) |
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/5040 (pow x 7)) |
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(* 1/5040 (pow x 7)) |
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/5040 (pow x 7)) |
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))))) |
(* 1/6 x) |
(* x (+ 1/6 (* 1/120 (pow x 2)))) |
(* x (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))) |
(* x (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))) |
(* 1/5040 (pow x 5)) |
(* (pow x 5) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* (pow x 5) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* 1/5040 (pow x 5)) |
(* (pow x 5) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040))) |
1/6 |
(+ 1/6 (* 1/120 (pow x 2))) |
(+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))) |
(+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))) |
(* 1/5040 (pow x 4)) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* 1/5040 (pow x 4)) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
1/120 |
(+ 1/120 (* 1/5040 (pow x 2))) |
(+ 1/120 (* 1/5040 (pow x 2))) |
(+ 1/120 (* 1/5040 (pow x 2))) |
(* 1/5040 (pow x 2)) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* 1/5040 (pow x 2)) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
1/120 |
(+ 1/120 (* 1/5040 (pow x 2))) |
(+ 1/120 (* 1/5040 (pow x 2))) |
(+ 1/120 (* 1/5040 (pow x 2))) |
(* 1/5040 (pow x 2)) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* 1/5040 (pow x 2)) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
1/6 |
(+ 1/6 (* 1/120 (pow x 2))) |
(+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))) |
(+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))) |
(* 1/5040 (pow x 4)) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* 1/5040 (pow x 4)) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
1/120 |
(+ 1/120 (* 1/5040 (pow x 2))) |
(+ 1/120 (* 1/5040 (pow x 2))) |
(+ 1/120 (* 1/5040 (pow x 2))) |
(* 1/5040 (pow x 2)) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* 1/5040 (pow x 2)) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* 1/25401600 (pow x 2)) |
(* 1/25401600 (pow x 2)) |
(* 1/25401600 (pow x 2)) |
(* 1/25401600 (pow x 2)) |
(* 1/25401600 (pow x 2)) |
(* 1/25401600 (pow x 2)) |
(* 1/25401600 (pow x 2)) |
(* 1/25401600 (pow x 2)) |
(* 1/25401600 (pow x 2)) |
(* 1/25401600 (pow x 2)) |
(* 1/25401600 (pow x 2)) |
(* 1/25401600 (pow x 2)) |
| Outputs |
|---|
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* x (+ 1/6 (* 1/120 (pow x 2)))) |
(*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) |
(* x (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))) |
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) |
(* x (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))) |
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) |
(* 1/5040 (pow x 5)) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))) |
(* (pow x 5) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) |
(* (pow x 5) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/5040 binary64) (/.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x)))) |
(* (pow x 5) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/5040 binary64) (/.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x)))) |
(* 1/5040 (pow x 5)) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))) |
(* (pow x 5) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/5040 binary64) (/.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x)))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/5040 binary64) (/.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x)))) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)) x) |
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(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(* 1/5040 (pow x 7)) |
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(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
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(* 1/5040 (pow x 7)) |
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(pow x 2) |
(*.f64 x x) |
(pow x 2) |
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(pow x 2) |
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(pow x 2) |
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(pow x 2) |
(*.f64 x x) |
(pow x 2) |
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(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
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(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
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(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
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1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* 1/120 (pow x 2))) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) |
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(+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))) |
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(* 1/5040 (pow x 4)) |
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(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
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(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
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(* 1/5040 (pow x 4)) |
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(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
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(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
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(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
1/120 |
#s(literal 1/120 binary64) |
(+ 1/120 (* 1/5040 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(+ 1/120 (* 1/5040 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(+ 1/120 (* 1/5040 (pow x 2))) |
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(* 1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
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(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
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(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
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(* 1/5040 (pow x 2)) |
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(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
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(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
1/120 |
#s(literal 1/120 binary64) |
(+ 1/120 (* 1/5040 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(+ 1/120 (* 1/5040 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
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(* 1/5040 (pow x 2)) |
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(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
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(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
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(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
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(* 1/5040 (pow x 2)) |
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(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
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(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
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(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
1/6 |
#s(literal 1/6 binary64) |
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(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) |
(+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) |
(* 1/5040 (pow x 4)) |
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(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) |
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) |
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
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(* 1/5040 (pow x 4)) |
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(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
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(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) |
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) |
1/120 |
#s(literal 1/120 binary64) |
(+ 1/120 (* 1/5040 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(+ 1/120 (* 1/5040 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(+ 1/120 (* 1/5040 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(* 1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(* 1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(* 1/25401600 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/25401600 binary64))) |
(* 1/25401600 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/25401600 binary64))) |
(* 1/25401600 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/25401600 binary64))) |
(* 1/25401600 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/25401600 binary64))) |
(* 1/25401600 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/25401600 binary64))) |
(* 1/25401600 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/25401600 binary64))) |
(* 1/25401600 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/25401600 binary64))) |
(* 1/25401600 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/25401600 binary64))) |
(* 1/25401600 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/25401600 binary64))) |
(* 1/25401600 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/25401600 binary64))) |
(* 1/25401600 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/25401600 binary64))) |
(* 1/25401600 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/25401600 binary64))) |
| 1× | batch-egg-rewrite |
| 6 472× | lower-fma.f32 |
| 6 454× | lower-fma.f64 |
| 4 544× | lower-*.f32 |
| 4 524× | lower-*.f64 |
| 3 840× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 456 |
| 0 | 84 | 377 |
| 1 | 358 | 335 |
| 2 | 2637 | 335 |
| 0 | 8533 | 327 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 x x) (*.f64 x #s(literal 1/6 binary64))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 x x) (*.f64 x #s(literal 1/6 binary64))) (*.f64 x x) x)) |
(fma.f64 (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 x x) (*.f64 x #s(literal 1/6 binary64))) (*.f64 x x) x) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))))) |
#s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x)) |
(fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x) |
(*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))) x)) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))) x) |
(*.f64 x x) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64))) (*.f64 x x) x)) |
(fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64))) (*.f64 x x) x) |
(*.f64 x (fma.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) |
(*.f64 x #s(literal 1/6 binary64)) |
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
#s(approx (+ (* (* x x) 1/5040) 1/120) #s(literal 1/120 binary64)) |
#s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))) |
(/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) |
| Outputs |
|---|
(+.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))))) |
(+.f64 (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))) (*.f64 x #s(literal 1/6 binary64))) |
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))) (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))))) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (-.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))))) (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))) (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))))) (-.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))))))) |
(fma.f64 x #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))))) |
(fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 x #s(literal 1/6 binary64))) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 x x) (*.f64 x #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 x #s(literal 1/6 binary64))) |
(fma.f64 #s(literal 1/6 binary64) x (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))))) |
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) x (*.f64 x #s(literal 1/6 binary64))) |
(fma.f64 (/.f64 (*.f64 x (*.f64 x (fma.f64 #s(literal 1/25401600 binary64) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/14400 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/128024064000 binary64)) #s(literal -1/1728000 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/25401600 binary64)) #s(literal 1/14400 binary64)) (*.f64 (*.f64 x x) #s(literal -1/604800 binary64))))) (*.f64 x #s(literal 1/6 binary64))) |
(fma.f64 (/.f64 (*.f64 x (*.f64 x (fma.f64 #s(literal 1/25401600 binary64) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/14400 binary64)))) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/14400 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 x #s(literal 1/6 binary64))) |
(fma.f64 (/.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/128024064000 binary64)) #s(literal -1/1728000 binary64))) (/.f64 (*.f64 x (*.f64 x (fma.f64 #s(literal 1/25401600 binary64) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/14400 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/25401600 binary64)) #s(literal 1/14400 binary64)) (*.f64 (*.f64 x x) #s(literal -1/604800 binary64))))) (*.f64 x #s(literal 1/6 binary64))) |
(fma.f64 (/.f64 x (fma.f64 #s(literal 1/25401600 binary64) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/14400 binary64))) (/.f64 (*.f64 x (*.f64 x (fma.f64 #s(literal 1/25401600 binary64) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/14400 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 x #s(literal 1/6 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))))) (*.f64 (*.f64 x #s(literal 1/6 binary64)) (-.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))))))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) (*.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))))))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))))) (*.f64 (*.f64 x #s(literal 1/6 binary64)) (-.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))))))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))))))) (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))) (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))))) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))) x) #s(literal 1/6 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))))) (*.f64 (*.f64 x #s(literal 1/6 binary64)) (-.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))))))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))))))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) (*.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))))))) |
(/.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))))))))) (neg.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))))) (*.f64 (*.f64 x #s(literal 1/6 binary64)) (-.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))))))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))))))))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))) (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))))) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))) x) #s(literal 1/6 binary64)))))) |
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(/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))) (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))))) (-.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))))) |
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(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/16390160963076096000000 binary64) #s(literal -1/2985984000000 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/645241282560000 binary64) #s(literal 1/207360000 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/365783040000 binary64))) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/645241282560000 binary64) #s(literal -1/207360000 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/25401600 binary64)) #s(literal 1/14400 binary64)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/25401600 binary64) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/14400 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/16390160963076096000000 binary64) #s(literal -1/2985984000000 binary64))) (neg.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) (-.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/645241282560000 binary64) #s(literal 1/207360000 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/365783040000 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/645241282560000 binary64) #s(literal -1/207360000 binary64))) (neg.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/25401600 binary64)) #s(literal 1/14400 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64))) (neg.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/25401600 binary64)) #s(literal 1/14400 binary64)) (*.f64 (*.f64 x x) #s(literal 1/604800 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64))) (neg.f64 (+.f64 #s(literal 1/14400 binary64) (-.f64 (*.f64 #s(literal 1/25401600 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) #s(literal 1/604800 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/128024064000 binary64))) #s(literal -1/1728000 binary64)) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/25401600 binary64)) (+.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) #s(literal -1/604800 binary64))))) |
(/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 #s(literal 1/25401600 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/25401600 binary64) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/14400 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/16390160963076096000000 binary64) #s(literal -1/2985984000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)))) (-.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/645241282560000 binary64) #s(literal 1/207360000 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/365783040000 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/645241282560000 binary64) #s(literal -1/207360000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/25401600 binary64)) #s(literal 1/14400 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/25401600 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/14400 binary64))) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/16390160963076096000000 binary64) #s(literal -1/2985984000000 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/645241282560000 binary64) #s(literal 1/207360000 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/365783040000 binary64))) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/645241282560000 binary64) #s(literal -1/207360000 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/25401600 binary64)) #s(literal 1/14400 binary64)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/25401600 binary64) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/14400 binary64))))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/25401600 binary64)) #s(literal 1/14400 binary64)) (*.f64 (*.f64 x x) #s(literal 1/604800 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/128024064000 binary64))) #s(literal -1/1728000 binary64))) (neg.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/25401600 binary64)) (+.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) #s(literal -1/604800 binary64)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 #s(literal 1/25401600 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (neg.f64 (-.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/25401600 binary64) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/14400 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/16390160963076096000000 binary64) #s(literal -1/2985984000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))))) (neg.f64 (-.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/645241282560000 binary64) #s(literal 1/207360000 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/365783040000 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/645241282560000 binary64) #s(literal -1/207360000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))))) (neg.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/25401600 binary64)) #s(literal 1/14400 binary64)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/25401600 binary64)) #s(literal 1/14400 binary64)) (*.f64 (*.f64 x x) #s(literal 1/604800 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
(*.f64 (neg.f64 (fma.f64 #s(literal 1/25401600 binary64) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/14400 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))))) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/25401600 binary64)) #s(literal 1/14400 binary64)) (*.f64 (*.f64 x x) #s(literal 1/604800 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/14400 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/14400 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/25401600 binary64) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/14400 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)))) |
(*.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/25401600 binary64)) #s(literal 1/14400 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/25401600 binary64)) #s(literal 1/14400 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/25401600 binary64) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/14400 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/128024064000 binary64)) #s(literal -1/1728000 binary64))) (-.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/25401600 binary64)) #s(literal 1/14400 binary64)) (*.f64 (*.f64 x x) #s(literal -1/604800 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/25401600 binary64) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/14400 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/128024064000 binary64)) #s(literal -1/1728000 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/25401600 binary64)) #s(literal 1/14400 binary64)) (*.f64 (*.f64 x x) #s(literal -1/604800 binary64)))))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/25401600 binary64) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/14400 binary64)) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/14400 binary64))) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/16390160963076096000000 binary64) #s(literal -1/2985984000000 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/645241282560000 binary64) #s(literal 1/207360000 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/365783040000 binary64))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/645241282560000 binary64) #s(literal -1/207360000 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/25401600 binary64)) #s(literal 1/14400 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/16390160963076096000000 binary64) #s(literal -1/2985984000000 binary64)) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/14400 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/645241282560000 binary64) #s(literal 1/207360000 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/365783040000 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/16390160963076096000000 binary64) #s(literal -1/2985984000000 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/128024064000 binary64)) #s(literal -1/1728000 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/645241282560000 binary64) #s(literal 1/207360000 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/365783040000 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/25401600 binary64)) #s(literal 1/14400 binary64)) (*.f64 (*.f64 x x) #s(literal -1/604800 binary64)))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/645241282560000 binary64) #s(literal -1/207360000 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/128024064000 binary64)) #s(literal -1/1728000 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/25401600 binary64)) #s(literal 1/14400 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/25401600 binary64)) #s(literal 1/14400 binary64)) (*.f64 (*.f64 x x) #s(literal -1/604800 binary64)))))) |
(*.f64 x (*.f64 x #s(literal 1/25401600 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) |
(*.f64 #s(literal 1/25401600 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal 1/25401600 binary64)) x) |
Compiled 40 069 to 2 020 computations (95% saved)
37 alts after pruning (29 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 125 | 12 | 1 137 |
| Fresh | 11 | 17 | 28 |
| Picked | 1 | 4 | 5 |
| Done | 1 | 4 | 5 |
| Total | 1 138 | 37 | 1 175 |
| Status | Accuracy | Program |
|---|---|---|
| 93.7% | (/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2520 binary64)) x) x (fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64)) | |
| 93.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp (neg x))) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))))) | |
| ✓ | 100.0% | (sinh.f64 x) |
| 93.7% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 x x) (*.f64 x #s(literal 1/6 binary64))) (*.f64 x x) x)) | |
| 55.3% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))) #s(literal -1/36 binary64)) x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) (*.f64 x x) x)) | |
| 93.2% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))) x) (*.f64 x x) x)) | |
| 69.5% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64))))) #s(literal 1/6 binary64))) (*.f64 x x) x)) | |
| 69.5% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64))) (/.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64))) (*.f64 x x) x)) | |
| ✓ | 93.7% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x)) |
| ✓ | 69.5% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64))) (*.f64 x x) x)) |
| 69.5% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (/.f64 (fma.f64 #s(literal 1/25401600 binary64) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/14400 binary64)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64))) (*.f64 x x) x)) | |
| 69.5% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)))) (-.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))) #s(literal 1/6 binary64))) (*.f64 x x) x)) | |
| ✓ | 91.9% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x)) |
| 91.9% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) 1/5040) 1/120) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))) x x)) | |
| ✓ | 93.2% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))) x)) |
| 91.4% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x #s(approx (+ (* x (* x 1/5040)) 1/120) #s(literal 1/120 binary64))))) x)) | |
| 83.6% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) #s(literal 1/6 binary64)) x)) | |
| 93.2% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x #s(approx (+ (* (* x x) (/ (+ (* (* x x) (* (* x x) 1/25401600)) -1/14400) (+ (* x (* x 1/5040)) -1/120))) 1/6) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))) (*.f64 x x) x)) | |
| ✓ | 91.4% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(approx (+ (* x (* x 1/120)) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x)) |
| 93.2% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 #s(approx (+ (* (* x (+ (* x (* x 1/5040)) 1/120)) (* x x)) (* x 1/6)) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))) (*.f64 x x) x)) | |
| 29.8% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (/.f64 (*.f64 (fma.f64 #s(approx (+ (* x (* x 1/120)) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x)) x) (fma.f64 x (*.f64 #s(approx (+ (* x (* x 1/120)) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x)) (neg.f64 x))) (fma.f64 x (*.f64 #s(approx (+ (* x (* x 1/120)) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x)) (neg.f64 x)))) | |
| 93.7% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))))) | |
| 93.7% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x #s(literal 1 binary64)))) | |
| 46.3% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) #s(approx (+ (* (* x x) 1/5040) -1/120) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) | |
| 69.0% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (/.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)))))) #s(literal 1 binary64)))) | |
| 69.0% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)))))) #s(literal 1 binary64)))) | |
| 83.6% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) | |
| 49.6% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x #s(approx (+ (* (* x x) (+ (* x (/ (* (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) x) (+ (* (* x x) 1/5040) -1/120))) 1/6)) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))))) | |
| 49.5% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x #s(approx (+ (* (* x x) (+ (* x (/ (* (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) x) (+ (* (* x x) 1/5040) -1/120))) 1/6)) 1) (*.f64 x (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))) | |
| ✓ | 49.3% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x #s(approx (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64)))) |
| 47.9% | #s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))) | |
| 47.7% | #s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))))) | |
| 47.7% | #s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) | |
| 39.8% | #s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x))) | |
| 39.8% | #s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64))))) | |
| 39.8% | #s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x))) | |
| ✓ | 39.8% | #s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))))) |
Compiled 2 072 to 622 computations (70% saved)
| Inputs |
|---|
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x #s(approx (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) #s(literal 1/6 binary64)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(approx (+ (* x (* x 1/120)) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x #s(approx (+ (* x (* x 1/5040)) 1/120) #s(literal 1/120 binary64))))) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) 1/5040) 1/120) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))) x x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x #s(approx (+ (* (* x x) (+ (* x (/ (* (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) x) (+ (* (* x x) 1/5040) -1/120))) 1/6)) 1) (*.f64 x (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x #s(approx (+ (* (* x x) (+ (* x (/ (* (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) x) (+ (* (* x x) 1/5040) -1/120))) 1/6)) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x #s(approx (+ (* (* x x) 1/5040) 1/120) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))) #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x #s(approx (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x #s(approx (+ (* (* x x) (/ (+ (* (* x x) (* (* x x) 1/25401600)) -1/14400) (+ (* x (* x 1/5040)) -1/120))) 1/6) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))) (*.f64 x x) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))) #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 #s(approx (* x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x x)))) (*.f64 x x) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 #s(approx (+ (* (* x (+ (* x (* x 1/5040)) 1/120)) (* x x)) (* x 1/6)) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))) (*.f64 x x) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x #s(approx (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))) (*.f64 x x) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))) x) (*.f64 x x) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 x x) (*.f64 x #s(literal 1/6 binary64))) (*.f64 x x) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 x x) (*.f64 x #s(literal 1/6 binary64))) (*.f64 x x) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2520 binary64)) x) x (fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp (neg x))) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (/.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)))))) #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) #s(approx (+ (* (* x x) 1/5040) -1/120) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (/.f64 (fma.f64 #s(literal 1/25401600 binary64) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/14400 binary64)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64))) (*.f64 x x) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64))) (*.f64 x x) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64))) (/.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64))) (*.f64 x x) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)))))) #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)))) (-.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))) #s(literal 1/6 binary64))) (*.f64 x x) x)) |
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal -1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 (-.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/6350400 binary64))) (-.f64 #s(literal 1/60 binary64) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64)))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64))))) #s(literal 1/6 binary64))) (*.f64 x x) x)) |
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal -1/60 binary64)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) (*.f64 x x) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))) #s(literal -1/36 binary64)) x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) (*.f64 x x) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (/.f64 (*.f64 (fma.f64 #s(approx (+ (* x (* x 1/120)) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x)) x) (fma.f64 x (*.f64 #s(approx (+ (* x (* x 1/120)) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x)) (neg.f64 x))) (fma.f64 x (*.f64 #s(approx (+ (* x (* x 1/120)) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x)) (neg.f64 x)))) |
(sinh.f64 x) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
(/.f64 (/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x #s(literal -3 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))))) (+.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 (neg.f64 x) x) #s(literal 3 binary64)))))) #s(literal 2 binary64)) |
| Outputs |
|---|
(sinh.f64 x) |
3 calls:
| 46.0ms | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 43.0ms | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 17.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 100.0% | 1 | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x #s(approx (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) #s(literal 1/6 binary64)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(approx (+ (* x (* x 1/120)) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x #s(approx (+ (* x (* x 1/5040)) 1/120) #s(literal 1/120 binary64))))) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) 1/5040) 1/120) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))) x x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x #s(approx (+ (* (* x x) (+ (* x (/ (* (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) x) (+ (* (* x x) 1/5040) -1/120))) 1/6)) 1) (*.f64 x (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x #s(approx (+ (* (* x x) (+ (* x (/ (* (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) x) (+ (* (* x x) 1/5040) -1/120))) 1/6)) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x #s(approx (+ (* (* x x) 1/5040) 1/120) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))) #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x #s(approx (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x #s(approx (+ (* (* x x) (/ (+ (* (* x x) (* (* x x) 1/25401600)) -1/14400) (+ (* x (* x 1/5040)) -1/120))) 1/6) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))) (*.f64 x x) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))) #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 #s(approx (* x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x x)))) (*.f64 x x) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 #s(approx (+ (* (* x (+ (* x (* x 1/5040)) 1/120)) (* x x)) (* x 1/6)) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))) (*.f64 x x) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x #s(approx (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))) (*.f64 x x) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))) x) (*.f64 x x) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 x x) (*.f64 x #s(literal 1/6 binary64))) (*.f64 x x) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 x x) (*.f64 x #s(literal 1/6 binary64))) (*.f64 x x) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2520 binary64)) x) x (fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (- (exp x) (exp (neg x))) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (/.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)))))) #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) #s(approx (+ (* (* x x) 1/5040) -1/120) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (/.f64 (fma.f64 #s(literal 1/25401600 binary64) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/14400 binary64)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64))) (*.f64 x x) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64))) (*.f64 x x) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64))) (/.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64))) (*.f64 x x) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)))))) #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)))) (-.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))) #s(literal 1/6 binary64))) (*.f64 x x) x)) |
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal -1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 (-.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/6350400 binary64))) (-.f64 #s(literal 1/60 binary64) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64)))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64))))) #s(literal 1/6 binary64))) (*.f64 x x) x)) |
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2520 binary64)) #s(literal -1/60 binary64)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) (*.f64 x x) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))) #s(literal -1/36 binary64)) x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) (*.f64 x x) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (/.f64 (*.f64 (fma.f64 #s(approx (+ (* x (* x 1/120)) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x)) x) (fma.f64 x (*.f64 #s(approx (+ (* x (* x 1/120)) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x)) (neg.f64 x))) (fma.f64 x (*.f64 #s(approx (+ (* x (* x 1/120)) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x)) (neg.f64 x)))) |
| Outputs |
|---|
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x)) |
3 calls:
| 19.0ms | x |
| 13.0ms | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 13.0ms | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.7% | 1 | x |
| 93.7% | 1 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 93.7% | 1 | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x #s(approx (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) #s(literal 1/6 binary64)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(approx (+ (* x (* x 1/120)) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x #s(approx (+ (* x (* x 1/5040)) 1/120) #s(literal 1/120 binary64))))) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) 1/5040) 1/120) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))) x x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x #s(approx (+ (* (* x x) (+ (* x (/ (* (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) x) (+ (* (* x x) 1/5040) -1/120))) 1/6)) 1) (*.f64 x (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x #s(approx (+ (* (* x x) (+ (* x (/ (* (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) x) (+ (* (* x x) 1/5040) -1/120))) 1/6)) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x #s(approx (+ (* (* x x) 1/5040) 1/120) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))) #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x #s(approx (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x #s(approx (+ (* (* x x) (/ (+ (* (* x x) (* (* x x) 1/25401600)) -1/14400) (+ (* x (* x 1/5040)) -1/120))) 1/6) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))) (*.f64 x x) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))) #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 #s(approx (* x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x x)))) (*.f64 x x) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 #s(approx (+ (* (* x (+ (* x (* x 1/5040)) 1/120)) (* x x)) (* x 1/6)) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))) (*.f64 x x) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x #s(approx (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))) (*.f64 x x) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))) x) (*.f64 x x) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
3 calls:
| 11.0ms | x |
| 9.0ms | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 8.0ms | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.7% | 1 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 93.7% | 1 | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 93.7% | 1 | x |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x #s(approx (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) #s(literal 1/6 binary64)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(approx (+ (* x (* x 1/120)) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x #s(approx (+ (* x (* x 1/5040)) 1/120) #s(literal 1/120 binary64))))) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) 1/5040) 1/120) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))) x x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x #s(approx (+ (* (* x x) (+ (* x (/ (* (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) x) (+ (* (* x x) 1/5040) -1/120))) 1/6)) 1) (*.f64 x (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x #s(approx (+ (* (* x x) (+ (* x (/ (* (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) x) (+ (* (* x x) 1/5040) -1/120))) 1/6)) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x #s(approx (+ (* (* x x) 1/5040) 1/120) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))) #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x #s(approx (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x #s(approx (+ (* (* x x) (/ (+ (* (* x x) (* (* x x) 1/25401600)) -1/14400) (+ (* x (* x 1/5040)) -1/120))) 1/6) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))) (*.f64 x x) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))) #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 #s(approx (* x (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x x)))) (*.f64 x x) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 #s(approx (+ (* (* x (+ (* x (* x 1/5040)) 1/120)) (* x x)) (* x 1/6)) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))) (*.f64 x x) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x #s(approx (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))) (*.f64 x x) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))) x) (*.f64 x x) x)) |
| Outputs |
|---|
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))) #s(literal 1 binary64)))) |
3 calls:
| 19.0ms | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 9.0ms | x |
| 7.0ms | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.2% | 1 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 93.2% | 1 | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 93.2% | 1 | x |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x #s(approx (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) #s(literal 1/6 binary64)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(approx (+ (* x (* x 1/120)) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x #s(approx (+ (* x (* x 1/5040)) 1/120) #s(literal 1/120 binary64))))) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) 1/5040) 1/120) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))) x x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x #s(approx (+ (* (* x x) (+ (* x (/ (* (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) x) (+ (* (* x x) 1/5040) -1/120))) 1/6)) 1) (*.f64 x (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x #s(approx (+ (* (* x x) (+ (* x (/ (* (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) x) (+ (* (* x x) 1/5040) -1/120))) 1/6)) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x #s(approx (+ (* (* x x) 1/5040) 1/120) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))) #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x #s(approx (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x #s(approx (+ (* (* x x) (/ (+ (* (* x x) (* (* x x) 1/25401600)) -1/14400) (+ (* x (* x 1/5040)) -1/120))) 1/6) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))) (*.f64 x x) x)) |
| Outputs |
|---|
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x #s(approx (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x) x)) |
3 calls:
| 35.0ms | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 8.0ms | x |
| 6.0ms | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.2% | 1 | x |
| 93.2% | 1 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 93.2% | 1 | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x #s(approx (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) #s(literal 1/6 binary64)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(approx (+ (* x (* x 1/120)) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x #s(approx (+ (* x (* x 1/5040)) 1/120) #s(literal 1/120 binary64))))) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) 1/5040) 1/120) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))) x x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x #s(approx (+ (* (* x x) (+ (* x (/ (* (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) x) (+ (* (* x x) 1/5040) -1/120))) 1/6)) 1) (*.f64 x (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x #s(approx (+ (* (* x x) (+ (* x (/ (* (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) x) (+ (* (* x x) 1/5040) -1/120))) 1/6)) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x #s(approx (+ (* (* x x) 1/5040) 1/120) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))) #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)))) |
3 calls:
| 8.0ms | x |
| 7.0ms | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 6.0ms | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.2% | 1 | x |
| 93.2% | 1 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 93.2% | 1 | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x #s(approx (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) #s(literal 1/6 binary64)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(approx (+ (* x (* x 1/120)) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x #s(approx (+ (* x (* x 1/5040)) 1/120) #s(literal 1/120 binary64))))) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) 1/5040) 1/120) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))) x x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x #s(approx (+ (* (* x x) (+ (* x (/ (* (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) x) (+ (* (* x x) 1/5040) -1/120))) 1/6)) 1) (*.f64 x (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x #s(approx (+ (* (* x x) (+ (* x (/ (* (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) x) (+ (* (* x x) 1/5040) -1/120))) 1/6)) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))))) |
| Outputs |
|---|
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x #s(approx (+ (* (* x x) (+ (* x (/ (* (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) x) (+ (* (* x x) 1/5040) -1/120))) 1/6)) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))))) |
3 calls:
| 7.0ms | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 7.0ms | x |
| 5.0ms | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.7% | 2 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 93.7% | 2 | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 93.7% | 2 | x |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x #s(approx (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) #s(literal 1/6 binary64)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(approx (+ (* x (* x 1/120)) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x #s(approx (+ (* x (* x 1/5040)) 1/120) #s(literal 1/120 binary64))))) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) 1/5040) 1/120) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))) x x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x #s(approx (+ (* (* x x) (+ (* x (/ (* (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) x) (+ (* (* x x) 1/5040) -1/120))) 1/6)) 1) (*.f64 x (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))) |
| Outputs |
|---|
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x #s(approx (+ (* (* x x) (+ (* x (/ (* (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) x) (+ (* (* x x) 1/5040) -1/120))) 1/6)) 1) (*.f64 x (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))) |
3 calls:
| 8.0ms | x |
| 5.0ms | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 5.0ms | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.7% | 2 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 93.7% | 2 | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 93.7% | 2 | x |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x #s(approx (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) #s(literal 1/6 binary64)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(approx (+ (* x (* x 1/120)) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x #s(approx (+ (* x (* x 1/5040)) 1/120) #s(literal 1/120 binary64))))) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(approx (+ (* (* x x) 1/5040) 1/120) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))) x x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x)) |
| Outputs |
|---|
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)) x)) |
3 calls:
| 7.0ms | x |
| 7.0ms | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 5.0ms | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.9% | 1 | x |
| 91.9% | 1 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 91.9% | 1 | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x #s(approx (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) #s(literal 1/6 binary64)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(approx (+ (* x (* x 1/120)) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x #s(approx (+ (* x (* x 1/5040)) 1/120) #s(literal 1/120 binary64))))) x)) |
| Outputs |
|---|
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(approx (+ (* x (* x 1/120)) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x)) |
3 calls:
| 6.0ms | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 5.0ms | x |
| 4.0ms | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.4% | 1 | x |
| 91.4% | 1 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 91.4% | 1 | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x #s(approx (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) #s(literal 1/6 binary64)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))) |
| Outputs |
|---|
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))) |
3 calls:
| 4.0ms | x |
| 4.0ms | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 3.0ms | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.8% | 2 | x |
| 91.8% | 2 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 91.8% | 2 | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x #s(approx (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) #s(literal 1/6 binary64)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))))) |
| Outputs |
|---|
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
3 calls:
| 5.0ms | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 4.0ms | x |
| 3.0ms | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.8% | 2 | x |
| 91.8% | 2 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 91.8% | 2 | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x #s(approx (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) #s(literal 1/6 binary64)) x)) |
| Outputs |
|---|
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x)) |
3 calls:
| 21.0ms | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 3.0ms | x |
| 3.0ms | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.6% | 1 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 83.6% | 1 | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 83.6% | 1 | x |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x #s(approx (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
3 calls:
| 3.0ms | x |
| 2.0ms | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 2.0ms | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.6% | 1 | x |
| 83.6% | 1 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 83.6% | 1 | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x #s(approx (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x))) |
| Outputs |
|---|
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x #s(approx (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))))) |
3 calls:
| 2.0ms | x |
| 2.0ms | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 2.0ms | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.2% | 2 | x |
| 83.2% | 2 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 83.2% | 2 | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
Compiled 18 to 13 computations (27.8% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x #s(approx (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x #s(approx (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64)))) |
3 calls:
| 26.0ms | x |
| 1.0ms | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 1.0ms | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.3% | 1 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 49.3% | 1 | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 49.3% | 1 | x |
Compiled 18 to 13 computations (27.8% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 0.01074734367034953 | 56.5760518521401 |
| 7.0ms | 128× | 0 | valid |
Compiled 300 to 155 computations (48.3% saved)
ival-exp: 3.0ms (64.3% of total)ival-sub: 1.0ms (21.4% of total)ival-div: 1.0ms (21.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-neg: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 0.01074734367034953 | 56.5760518521401 |
| 5.0ms | 96× | 0 | valid |
Compiled 292 to 163 computations (44.2% saved)
ival-exp: 2.0ms (56% of total)ival-div: 1.0ms (28% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-neg: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.02149510113515085 | 3.721063893536348e+24 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 5.0ms | 0.01074734367034953 | 56.5760518521401 |
| 3.0ms | 48× | 0 | valid |
Compiled 220 to 123 computations (44.1% saved)
ival-exp: 1.0ms (56.2% of total)ival-sub: 0.0ms (0% of total)ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-neg: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 7.0ms | 0.01074734367034953 | 56.5760518521401 |
| 4.0ms | 64× | 0 | valid |
Compiled 156 to 91 computations (41.7% saved)
ival-exp: 1.0ms (40.4% of total)ival-sub: 0.0ms (0% of total)ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-neg: 0.0ms (0% of total)| 1× | egg-herbie |
| 62× | *-commutative_binary64 |
| 6× | +-commutative_binary64 |
| 6× | sub-neg_binary64 |
| 4× | neg-sub0_binary64 |
| 4× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 137 | 652 |
| 1 | 174 | 652 |
| 2 | 179 | 652 |
| 3 | 182 | 652 |
| 4 | 183 | 652 |
| 1× | saturated |
| Inputs |
|---|
(sinh.f64 x) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))) #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x #s(approx (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)))) |
(if (<=.f64 x #s(literal 3152519739159347/562949953421312 binary64)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)) x)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x #s(approx (+ (* (* x x) (+ (* x (/ (* (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) x) (+ (* (* x x) 1/5040) -1/120))) 1/6)) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))))))) |
(if (<=.f64 x #s(literal 15/2 binary64)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)) x)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x #s(approx (+ (* (* x x) (+ (* x (/ (* (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) x) (+ (* (* x x) 1/5040) -1/120))) 1/6)) 1) (*.f64 x (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(approx (+ (* x (* x 1/120)) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x)) |
(if (<=.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 5764607523034235/144115188075855872 binary64)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x)) #s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))) |
(if (<=.f64 x #s(literal 5 binary64)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x)) #s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(if (<=.f64 x #s(literal 5/2 binary64)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x #s(approx (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64)))) #s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x #s(approx (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64)))) |
| Outputs |
|---|
(sinh.f64 x) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 x x) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))) #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x #s(approx (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)))) |
(if (<=.f64 x #s(literal 3152519739159347/562949953421312 binary64)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)) x)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x #s(approx (+ (* (* x x) (+ (* x (/ (* (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) x) (+ (* (* x x) 1/5040) -1/120))) 1/6)) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))))))) |
(if (<=.f64 x #s(literal 3152519739159347/562949953421312 binary64)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x #s(approx (+ (* (* x x) (+ (* x (/ (* (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) x) (+ (* (* x x) 1/5040) -1/120))) 1/6)) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))))))) |
(if (<=.f64 x #s(literal 15/2 binary64)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)) x)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x #s(approx (+ (* (* x x) (+ (* x (/ (* (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) x) (+ (* (* x x) 1/5040) -1/120))) 1/6)) 1) (*.f64 x (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))))) |
(if (<=.f64 x #s(literal 15/2 binary64)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x #s(approx (+ (* (* x x) (+ (* x (/ (* (+ (* (* (* x x) (* x x)) 1/25401600) -1/14400) x) (+ (* (* x x) 1/5040) -1/120))) 1/6)) 1) (*.f64 x (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(approx (+ (* x (* x 1/120)) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x)) |
(if (<=.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 5764607523034235/144115188075855872 binary64)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x)) #s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))) |
(if (<=.f64 x #s(literal 5 binary64)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x)) #s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(if (<=.f64 x #s(literal 5/2 binary64)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x #s(approx (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64)))) #s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x #s(approx (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64)))) |
| 18 510× | lower-fma.f64 |
| 18 510× | lower-fma.f32 |
| 14 412× | lower-fma.f64 |
| 14 412× | lower-fma.f32 |
| 8 048× | lower-fma.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 157 | 2298 |
| 1 | 533 | 2238 |
| 2 | 1422 | 2214 |
| 3 | 3927 | 2210 |
| 4 | 7826 | 2210 |
| 0 | 8132 | 2065 |
| 0 | 37 | 274 |
| 0 | 65 | 252 |
| 1 | 302 | 246 |
| 2 | 2267 | 246 |
| 0 | 8201 | 240 |
| 0 | 74 | 323 |
| 1 | 218 | 322 |
| 2 | 536 | 316 |
| 3 | 1389 | 316 |
| 4 | 2118 | 316 |
| 5 | 3210 | 316 |
| 6 | 3762 | 316 |
| 7 | 5168 | 316 |
| 8 | 6336 | 316 |
| 9 | 7581 | 316 |
| 0 | 8147 | 294 |
| 0 | 108 | 2800 |
| 1 | 356 | 2736 |
| 2 | 937 | 2698 |
| 3 | 2473 | 2692 |
| 4 | 6263 | 2692 |
| 0 | 8310 | 2484 |
| 0 | 7 | 21 |
| 0 | 12 | 17 |
| 1 | 47 | 13 |
| 2 | 294 | 13 |
| 0 | 3072 | 13 |
| 1× | fuel |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 770 to 357 computations (53.6% saved)
(negabs x)
Compiled 620 to 158 computations (74.5% saved)
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