
Time bar (total: 11.9s)
| 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)
| 636.0ms | 1 497× | 2 | valid |
| 448.0ms | 2 426× | 1 | valid |
| 279.0ms | 4 333× | 0 | valid |
ival-exp: 813.0ms (72.1% of total)ival-div: 130.0ms (11.5% of total)ival-sub: 75.0ms (6.7% of total)adjust: 63.0ms (5.6% of total)ival-neg: 32.0ms (2.8% of total)ival-true: 6.0ms (0.5% of total)exact: 5.0ms (0.4% of total)ival-assert: 3.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 114 | 0 | - | 1 | (-0.006749669293530909) | (-.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 | 113 | 2 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 113 | 1 |
| - | 0 | 142 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 113 | 1 | 0 |
| - | 0 | 1 | 141 |
| number | freq |
|---|---|
| 0 | 143 |
| 1 | 113 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 36.0ms | 78× | 2 | valid |
| 26.0ms | 138× | 1 | valid |
| 19.0ms | 296× | 0 | valid |
Compiled 59 to 25 computations (57.6% saved)
ival-exp: 48.0ms (74.7% of total)ival-div: 5.0ms (7.8% of total)ival-sub: 4.0ms (6.2% of total)adjust: 3.0ms (4.7% of total)ival-neg: 2.0ms (3.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% 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)
Compiled 9 to 7 computations (22.2% saved)
Compiled 1 to 1 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 59.6% | (/.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 | 0 | (neg.f64 x) | |
| accuracy | 0 | (exp.f64 (neg.f64 x)) | |
| accuracy | 0 | (exp.f64 x) | |
| accuracy | 25.84024595898231 | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 15.0ms | 39× | 2 | valid |
| 12.0ms | 69× | 1 | valid |
| 9.0ms | 148× | 0 | valid |
Compiled 25 to 9 computations (64% saved)
ival-exp: 19.0ms (71.2% of total)ival-div: 3.0ms (11.2% of total)adjust: 2.0ms (7.5% of total)ival-sub: 2.0ms (7.5% of total)ival-neg: 1.0ms (3.7% 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 (/.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 | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/ (- (exp x) (exp (neg x))) 2) |
| 0.0ms | x | @ | -inf | (/ (- (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) |
| 1 606× | 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)
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 351 | 5 | 356 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 352 | 5 | 357 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 93.3% | (/.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) |
| ▶ | 91.5% | #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)) |
| ▶ | 84.2% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x)) |
| ▶ | 93.3% | #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 140 to 76 computations (45.7% 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 | 0.03515625 | (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 | 0.04296875 | (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 | 0.2596000454974625 | (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) | |
| accuracy | 4.249631268598655 | #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 | 0.03515625 | (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 | 0.05859375 | (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) | |
| accuracy | 0.1171875 | (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) | |
| accuracy | 4.250070345770901 | #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 | 0.08984375 | (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) | |
| accuracy | 0.11328125 | (*.f64 x #s(literal 1/120 binary64)) | |
| accuracy | 0.19140625 | (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) | |
| accuracy | 5.468607418711575 | #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 | 0 | (*.f64 x x) | |
| accuracy | 0.06640625 | (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x) | |
| accuracy | 0.32421875 | (*.f64 x #s(literal 1/6 binary64)) | |
| accuracy | 10.128953369910581 | #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x)) | |
| accuracy | 0.0078125 | (sinh.f64 x) |
| 54.0ms | 69× | 1 | valid |
| 46.0ms | 148× | 0 | valid |
| 39.0ms | 39× | 2 | valid |
Compiled 248 to 43 computations (82.7% saved)
ival-mult: 39.0ms (34.4% of total)const: 23.0ms (20.3% of total)ival-exp: 21.0ms (18.5% of total)ival-add: 13.0ms (11.5% of total)adjust: 10.0ms (8.8% of total)ival-div: 3.0ms (2.6% 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 (*.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 #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 (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>) () ())) ()) |
#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>) () ())) ()) |
#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 (* 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 1/120 (taylor 0 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 (* 1/5040 (pow x 2))) (taylor 0 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 (* 1/5040 (pow x 2))) (taylor 0 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 (* 1/5040 (pow x 2))) (taylor 0 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 (* 1/5040 (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 1/6 (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 | |
|---|---|---|---|---|
| 3.0ms | x | @ | 0 | (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) |
| 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)) |
| 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 | 7836 | 2210 |
| 0 | 8142 | 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 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 |
(+ 1/120 (* 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)))))) |
1/60 |
(+ 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 x (*.f64 x #s(literal 1/6 binary64))) x) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(fma.f64 (fma.f64 (*.f64 x 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 (*.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))) 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 x (*.f64 x #s(literal 1/6 binary64))) x) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(fma.f64 (fma.f64 (*.f64 x 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 (*.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))) 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 x (*.f64 x #s(literal 1/6 binary64))) x) |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x) |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x) |
(* 1/6 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2)))) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x) |
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2)))) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x) |
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2)))) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x) |
(* 1/6 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2)))) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x) |
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2)))) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x) |
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2)))) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))) 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 x (*.f64 x #s(literal 1/6 binary64))) x) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(fma.f64 (fma.f64 (*.f64 x 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 (*.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))) 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 x (*.f64 x #s(literal 1/6 binary64))) x) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(fma.f64 (fma.f64 (*.f64 x 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 (*.f64 x 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 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) |
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
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(* 1/120 (pow x 5)) |
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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)) |
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(* 1/120 (pow x 3)) |
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x |
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(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
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(*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64))) |
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#s(literal 1 binary64) |
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x |
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2 |
#s(literal 2 binary64) |
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(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))))) |
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(* (pow x 6) (+ 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 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))))) |
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(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6))))))) |
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(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
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(*.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 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
(+ 1/6 (* 1/120 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
(+ 1/6 (* 1/120 (pow x 2))) |
(fma.f64 (*.f64 x 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 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x 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 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #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 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
(* x (+ 1/120 (* 1/5040 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
(* x (+ 1/120 (* 1/5040 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
(* 1/5040 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 x (*.f64 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 x (*.f64 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 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
(* 1/5040 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))) |
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 x (*.f64 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 x (*.f64 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 x (*.f64 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 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
(+ 1/120 (* 1/5040 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
(+ 1/120 (* 1/5040 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
(* 1/5040 (pow x 2)) |
(*.f64 x (*.f64 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 x (*.f64 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)) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* 1/120 (pow x 2))) |
(fma.f64 (*.f64 x 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 x (*.f64 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 x (*.f64 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 x (*.f64 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 (*.f64 x x) (fma.f64 x (*.f64 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 (*.f64 x (*.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 (*.f64 x (*.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))) |
| 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)) |
(*.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)) |
(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)) |
(*.f64 #s(literal 1/6 binary64) x) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x)) |
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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 2 235 computations (91.8% saved)
23 alts after pruning (19 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 840 | 19 | 859 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 841 | 23 | 864 |
| Status | Accuracy | Program |
|---|---|---|
| 93.3% | (/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 x (fma.f64 (*.f64 x x) (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))) #s(literal 2 binary64)))) #s(literal 2 binary64)) | |
| 63.7% | (/.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)) (/.f64 #s(literal 1 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)) | |
| 93.3% | (*.f64 #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(literal 1/2 binary64)) | |
| ✓ | 100.0% | (sinh.f64 x) |
| 91.5% | #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)) | |
| ▶ | 93.4% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 (*.f64 x 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 x)) |
| 84.2% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) x)) | |
| ✓ | 91.5% | #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)) |
| 90.5% | #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)) | |
| ✓ | 84.2% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x)) |
| ▶ | 93.3% | #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))))) |
| 63.3% | #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) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) | |
| ✓ | 93.3% | #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)))) |
| 63.7% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 x x) (*.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)) #s(literal 1 binary64)))) | |
| 93.0% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(approx (+ (* x (* x 1/5040)) 1/120) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) | |
| 50.3% | #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)))) | |
| 91.4% | #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) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) | |
| 92.4% | #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 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal 1 binary64)))) | |
| ▶ | 92.4% | #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)))) |
| 84.2% | #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) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) | |
| ▶ | 46.9% | #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)))) |
| ▶ | 49.2% | #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 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))) |
| 42.4% | #s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))) |
Compiled 828 to 415 computations (49.9% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (*.f64 x x) (*.f64 x x)) | |
| cost-diff | 0 | (*.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)))) | |
| cost-diff | 0 | #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))))) | |
| cost-diff | 640 | (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))) | |
| 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 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #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 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #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 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) | |
| cost-diff | 0 | (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) | |
| cost-diff | 0 | #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))) | |
| cost-diff | 0 | #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 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))) | |
| 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 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 (*.f64 x 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 (*.f64 x 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 x) | |
| cost-diff | 0 | #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 (*.f64 x 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 x)) |
| 36 224× | lower-fma.f32 |
| 36 212× | lower-fma.f64 |
| 4 000× | lower-+.f64 |
| 4 000× | lower-+.f32 |
| 3 064× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 512 |
| 0 | 81 | 457 |
| 1 | 207 | 425 |
| 2 | 425 | 419 |
| 3 | 882 | 419 |
| 4 | 1141 | 419 |
| 5 | 1279 | 419 |
| 6 | 1573 | 419 |
| 7 | 2342 | 419 |
| 8 | 3114 | 419 |
| 9 | 3775 | 419 |
| 10 | 5086 | 419 |
| 11 | 5795 | 419 |
| 12 | 6268 | 419 |
| 13 | 6326 | 419 |
| 14 | 6352 | 419 |
| 15 | 6426 | 419 |
| 16 | 6457 | 419 |
| 17 | 6474 | 419 |
| 18 | 6493 | 419 |
| 19 | 6500 | 419 |
| 20 | 6504 | 419 |
| 21 | 6504 | 419 |
| 0 | 8058 | 409 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 (*.f64 x 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 x)) |
(fma.f64 (*.f64 (*.f64 x 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 x) |
(*.f64 (*.f64 x 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) (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) #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) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))) |
#s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) |
x |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(*.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 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)))) |
(*.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))) |
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)) |
(*.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))))) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
#s(literal 1/5040 binary64) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x x)) |
#s(literal 1 binary64) |
#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))))) |
(*.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)))) |
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))) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(*.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) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 x #s(literal 1/6 binary64)) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
| Outputs |
|---|
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 (*.f64 x 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 x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 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))) x)) |
(fma.f64 (*.f64 (*.f64 x 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 x) |
(fma.f64 (*.f64 x x) (*.f64 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))) x) |
(*.f64 (*.f64 x 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 (*.f64 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)))) |
(*.f64 x x) |
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 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 1/5040 binary64) #s(literal 1/120 binary64)) |
(fma.f64 x (*.f64 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) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))) |
#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 (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))) |
#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)))))) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) |
(*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
x |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) |
(*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(*.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 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1 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 #s(literal 1/5040 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 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 #s(literal 1/5040 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 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)) |
(*.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(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))))) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)))) |
#s(literal 1/5040 binary64) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x x)) |
#s(literal 1 binary64) |
#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) (fma.f64 (*.f64 x x) (*.f64 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))) x)) |
(*.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)))) |
(fma.f64 (*.f64 x x) (*.f64 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))) x) |
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))) |
(fma.f64 x (*.f64 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 (*.f64 x x) (*.f64 x x)) |
(*.f64 x (*.f64 x (*.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 1/5040 binary64)) #s(literal 1/120 binary64)) |
#s(literal 1/5040 binary64) |
#s(literal 1/120 binary64) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 x #s(literal 1/6 binary64)) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.11166000976844202 | (*.f64 (*.f64 x x) (*.f64 x x)) | |
| accuracy | 0.2605425777028052 | (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) | |
| accuracy | 0.32421875 | (*.f64 x #s(literal 1/6 binary64)) | |
| accuracy | 4.250070345770901 | #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))))) | |
| accuracy | 0.0625 | (*.f64 x (*.f64 x (*.f64 x x))) | |
| accuracy | 0.4907735388971278 | (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) | |
| accuracy | 4.250070345770901 | #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)))) | |
| accuracy | 27.961721861856528 | #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))))) | |
| accuracy | 0.0859375 | (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) | |
| accuracy | 0.36340471031673516 | (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) | |
| accuracy | 5.468607418711575 | #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 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))) | |
| accuracy | 27.35236986292433 | #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))) | |
| accuracy | 0.01953125 | (*.f64 x #s(approx (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64))) | |
| accuracy | 4.250070345770901 | #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 | 34.67596660383581 | #s(approx (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) #s(literal 1 binary64)) | |
| accuracy | 0.04296875 | (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 | 0.16015625 | (*.f64 (*.f64 x 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 | 0.2605425777028052 | (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) | |
| accuracy | 4.250070345770901 | #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 (*.f64 x 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 x)) |
| 63.0ms | 148× | 0 | valid |
| 54.0ms | 69× | 1 | valid |
| 41.0ms | 39× | 2 | valid |
Compiled 361 to 50 computations (86.1% saved)
ival-mult: 67.0ms (51.4% of total)ival-exp: 21.0ms (16.1% of total)ival-add: 15.0ms (11.5% of total)const: 11.0ms (8.4% of total)adjust: 10.0ms (7.7% of total)ival-div: 3.0ms (2.3% of total)ival-sub: 2.0ms (1.5% of total)ival-neg: 1.0ms (0.8% 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 (*.f64 x 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 x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 (*.f64 x 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 x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (*.f64 x 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 x) (patch (fma.f64 (*.f64 (*.f64 x 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 x) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x 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 (*.f64 x 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 (*.f64 x x) (patch (*.f64 x x) #<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) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))) (patch #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 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))) (patch #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) (patch (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) (patch (*.f64 x (*.f64 x (*.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 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #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 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #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 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #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 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #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 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)) (patch (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)) #<representation binary64>) () ()) |
#s(alt (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))) (patch (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))) #<representation binary64>) () ()) |
#s(alt #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))))) (patch #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))))) #<representation binary64>) () ()) |
#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x x) (*.f64 x x)) (patch (*.f64 (*.f64 x x) (*.f64 x x)) #<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 (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 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (patch (*.f64 x (*.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 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (patch #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))))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (patch (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (*.f64 x (*.f64 x x))) (patch (*.f64 x (*.f64 x (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(literal 1/6 binary64)) (patch (*.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 (*.f64 x 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 x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 (*.f64 x 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 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 (*.f64 x 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 x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 (*.f64 x 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 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 (*.f64 x 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 x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 (*.f64 x 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 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 (*.f64 x 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 x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 (*.f64 x 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 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 (*.f64 x 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 x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 (*.f64 x 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 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 (*.f64 x 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 x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 (*.f64 x 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 x)) #<representation binary64>) () ())) ()) |
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#s(alt (pow x 4) (taylor 0 x) (#s(alt (*.f64 x (*.f64 x (*.f64 x x))) (patch (*.f64 x (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor 0 x) (#s(alt (*.f64 x (*.f64 x (*.f64 x x))) (patch (*.f64 x (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor inf x) (#s(alt (*.f64 x (*.f64 x (*.f64 x x))) (patch (*.f64 x (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor inf x) (#s(alt (*.f64 x (*.f64 x (*.f64 x x))) (patch (*.f64 x (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor inf x) (#s(alt (*.f64 x (*.f64 x (*.f64 x x))) (patch (*.f64 x (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor inf x) (#s(alt (*.f64 x (*.f64 x (*.f64 x x))) (patch (*.f64 x (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor -inf x) (#s(alt (*.f64 x (*.f64 x (*.f64 x x))) (patch (*.f64 x (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor -inf x) (#s(alt (*.f64 x (*.f64 x (*.f64 x x))) (patch (*.f64 x (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor -inf x) (#s(alt (*.f64 x (*.f64 x (*.f64 x x))) (patch (*.f64 x (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor -inf x) (#s(alt (*.f64 x (*.f64 x (*.f64 x x))) (patch (*.f64 x (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 1/6 binary64)) (patch (*.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 1/6 binary64)) (patch (*.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 1/6 binary64)) (patch (*.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 1/6 binary64)) (patch (*.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 1/6 binary64)) (patch (*.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 1/6 binary64)) (patch (*.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 1/6 binary64)) (patch (*.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 1/6 binary64)) (patch (*.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 1/6 binary64)) (patch (*.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 1/6 binary64)) (patch (*.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 1/6 binary64)) (patch (*.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 1/6 binary64)) (patch (*.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ()) |
78 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (* x (* x (* x (* (* x x) 1/120)))) |
| 0.0ms | x | @ | 0 | (* x (* x (* (* x x) 1/120))) |
| 0.0ms | x | @ | inf | (* 1/5040 (* x (* x (* x x)))) |
| 0.0ms | x | @ | inf | (+ (* (* (* x x) (+ (* (* x x) (+ (* (* x x) 1/5040) 1/120)) 1/6)) x) x) |
| 0.0ms | x | @ | 0 | (* x (* (* x x) 1/120)) |
| 1× | egg-herbie |
| 13 548× | lower-fma.f64 |
| 13 548× | lower-fma.f32 |
| 3 102× | lower-*.f64 |
| 3 102× | lower-*.f32 |
| 2 012× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 92 | 2682 |
| 1 | 281 | 2614 |
| 2 | 736 | 2582 |
| 3 | 2037 | 2582 |
| 4 | 4243 | 2582 |
| 5 | 7054 | 2582 |
| 0 | 8219 | 2421 |
| 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 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))) |
(* (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)))))) |
(* 1/5040 (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)))))) |
(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 |
(+ 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))) |
(* 1/120 (pow x 5)) |
(* 1/120 (pow x 5)) |
(* 1/120 (pow x 5)) |
(* 1/120 (pow x 5)) |
(* 1/120 (pow x 5)) |
(* 1/120 (pow x 5)) |
(* 1/120 (pow x 5)) |
(* 1/120 (pow x 5)) |
(* 1/120 (pow x 5)) |
(* 1/120 (pow x 5)) |
(* 1/120 (pow x 5)) |
(* 1/120 (pow x 5)) |
(* 1/120 (pow x 4)) |
(* 1/120 (pow x 4)) |
(* 1/120 (pow x 4)) |
(* 1/120 (pow x 4)) |
(* 1/120 (pow x 4)) |
(* 1/120 (pow x 4)) |
(* 1/120 (pow x 4)) |
(* 1/120 (pow x 4)) |
(* 1/120 (pow x 4)) |
(* 1/120 (pow x 4)) |
(* 1/120 (pow x 4)) |
(* 1/120 (pow x 4)) |
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 |
(+ 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))))))) |
(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) |
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 (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 3)) |
(* 1/120 (pow x 3)) |
(* 1/120 (pow x 3)) |
(* 1/120 (pow x 3)) |
(* 1/120 (pow x 3)) |
(* 1/120 (pow x 3)) |
(* 1/120 (pow x 3)) |
(* 1/120 (pow x 3)) |
(* 1/120 (pow x 3)) |
(* 1/120 (pow x 3)) |
(* 1/120 (pow x 3)) |
(* 1/120 (pow x 3)) |
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)))))) |
(* 1/5040 (pow x 4)) |
(* 1/5040 (pow x 4)) |
(* 1/5040 (pow x 4)) |
(* 1/5040 (pow x 4)) |
(* 1/5040 (pow x 4)) |
(* 1/5040 (pow x 4)) |
(* 1/5040 (pow x 4)) |
(* 1/5040 (pow x 4)) |
(* 1/5040 (pow x 4)) |
(* 1/5040 (pow x 4)) |
(* 1/5040 (pow x 4)) |
(* 1/5040 (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) |
(pow x 4) |
(* 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) |
| Outputs |
|---|
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 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 (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) |
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(* 1/120 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) |
(* 1/120 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) |
(* 1/120 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) |
(* 1/120 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) |
(* 1/120 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) |
(* 1/120 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) |
(* 1/120 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) |
(* 1/120 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) |
(* 1/120 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) |
(* 1/120 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 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 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 (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) |
(* 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) |
(* 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 (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) |
(* 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 #s(literal 1/6 binary64) (*.f64 x 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 binary64) (*.f64 (*.f64 x 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 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)) (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal -1/120 binary64)) #s(literal 1/5040 binary64))) |
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))))))) |
(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)) |
(* 1/5040 (pow x 6)) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)))))) |
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/6 binary64) x))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(fma.f64 x (*.f64 (*.f64 x 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)) (/.f64 #s(literal 1/6 binary64) x) #s(literal 1 binary64))) |
(* 1/5040 (pow x 6)) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)))))) |
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/6 binary64) x))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(fma.f64 x (*.f64 (*.f64 x 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)) (/.f64 #s(literal 1/6 binary64) x) #s(literal 1 binary64))) |
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))))))) |
(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)) |
(* 1/5040 (pow x 6)) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)))))) |
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/6 binary64) x))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(fma.f64 x (*.f64 (*.f64 x 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)) (/.f64 #s(literal 1/6 binary64) x) #s(literal 1 binary64))) |
(* 1/5040 (pow x 6)) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)))))) |
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/6 binary64) x))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(fma.f64 x (*.f64 (*.f64 x 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)) (/.f64 #s(literal 1/6 binary64) x) #s(literal 1 binary64))) |
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 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 (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) |
(* 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) |
(* 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 (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) |
(* 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 #s(literal 1/6 binary64) (*.f64 x 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 binary64) (*.f64 (*.f64 x 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 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)) (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal -1/120 binary64)) #s(literal 1/5040 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))) |
1/120 |
#s(literal 1/120 binary64) |
(+ 1/120 (* 1/5040 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
(+ 1/120 (* 1/5040 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
(+ 1/120 (* 1/5040 (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)) |
(* 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)) |
1/6 |
#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 x (*.f64 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 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(* 1/5040 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 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 x (*.f64 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 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(* 1/5040 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 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 x (*.f64 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 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/120 binary64))) |
(* 1/120 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/120 binary64))) |
(* 1/120 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/120 binary64))) |
(* 1/120 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/120 binary64))) |
(* 1/120 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/120 binary64))) |
(* 1/120 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/120 binary64))) |
(* 1/120 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/120 binary64))) |
(* 1/120 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/120 binary64))) |
(* 1/120 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/120 binary64))) |
(* 1/120 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/120 binary64))) |
(* 1/120 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/120 binary64))) |
(* 1/120 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/120 binary64))) |
(* 1/120 (pow x 3)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) |
(* 1/120 (pow x 3)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) |
(* 1/120 (pow x 3)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) |
(* 1/120 (pow x 3)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) |
(* 1/120 (pow x 3)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) |
(* 1/120 (pow x 3)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) |
(* 1/120 (pow x 3)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) |
(* 1/120 (pow x 3)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) |
(* 1/120 (pow x 3)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) |
(* 1/120 (pow x 3)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) |
(* 1/120 (pow x 3)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) |
(* 1/120 (pow x 3)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) |
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 x (*.f64 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 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(* 1/5040 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 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 x (*.f64 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 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(* 1/5040 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 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 x (*.f64 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 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(* 1/5040 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)))) |
(* 1/5040 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)))) |
(* 1/5040 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)))) |
(* 1/5040 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)))) |
(* 1/5040 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)))) |
(* 1/5040 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)))) |
(* 1/5040 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)))) |
(* 1/5040 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)))) |
(* 1/5040 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)))) |
(* 1/5040 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)))) |
(* 1/5040 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)))) |
(* 1/5040 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.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))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.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)) |
| 6 392× | lower-fma.f32 |
| 6 380× | lower-fma.f64 |
| 4 410× | lower-*.f32 |
| 4 382× | lower-*.f64 |
| 3 310× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 470 |
| 0 | 81 | 407 |
| 1 | 362 | 355 |
| 2 | 2288 | 349 |
| 0 | 8166 | 339 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 (*.f64 x 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 x)) |
(fma.f64 (*.f64 (*.f64 x 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 x) |
(*.f64 (*.f64 x 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) |
#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) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))) |
#s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) |
(*.f64 x (*.f64 x (*.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 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)))) |
(*.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))) |
(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)) |
(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 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))))) |
(*.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)))) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 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)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
#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 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(*.f64 x #s(literal 1/6 binary64)) |
| Outputs |
|---|
#s(approx (/ (- (exp x) (exp (neg 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)) |
(+.f64 x (*.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))))) |
(+.f64 (*.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 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)) |
(+.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.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)))) (*.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))))) (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)))) (neg.f64 x))) (/.f64 (*.f64 x x) (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)))) (neg.f64 x)))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.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)))))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.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)))) (*.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))))) (-.f64 x (*.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))))))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x))) (/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)) (-.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)))) |
(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) |
(fma.f64 x #s(literal 1 binary64) (*.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))))) |
(fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) |
(fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) 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) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)) |
(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) |
(fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)) |
(fma.f64 (*.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 x) |
(fma.f64 #s(literal 1 binary64) x (*.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))))) |
(fma.f64 (*.f64 x (*.f64 x 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 (*.f64 x x)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) x (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)) |
(fma.f64 (*.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))) (*.f64 x x) x) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)) |
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(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/128024064000 binary64)))) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 (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))))) (fma.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) (-.f64 (*.f64 (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 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))) #s(literal 3 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)))) (fma.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/14400 binary64)) (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))) |
(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.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)))) #s(literal 1/36 binary64)) (*.f64 x (*.f64 (*.f64 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 (*.f64 x x)) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 (*.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))))) #s(literal 1/216 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.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)) (fma.f64 (*.f64 x x) (*.f64 (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))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 (*.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))))) #s(literal 1/216 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.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)))) #s(literal 1/36 binary64)) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))))) |
(*.f64 (fma.f64 (*.f64 x x) (*.f64 (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)) (/.f64 #s(literal 1 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 (*.f64 x #s(literal 1/120 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal 1/120 binary64)) x) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal 1/120 binary64))) |
(*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 x #s(literal 1/120 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) x) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/120 binary64)) |
#s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(*.f64 (*.f64 x #s(literal 1/5040 binary64)) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/5040 binary64))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/5040 binary64)) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) x) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 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) (*.f64 #s(literal 2 binary64) (log.f64 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 x)) x) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) |
(*.f64 x #s(literal 1/6 binary64)) |
(*.f64 #s(literal 1/6 binary64) x) |
Compiled 45 833 to 2 085 computations (95.5% saved)
28 alts after pruning (24 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 079 | 16 | 1 095 |
| Fresh | 6 | 8 | 14 |
| Picked | 3 | 2 | 5 |
| Done | 2 | 2 | 4 |
| Total | 1 090 | 28 | 1 118 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (sinh.f64 x) |
| 91.5% | #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)) | |
| 52.1% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (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)) (*.f64 x 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 x)) | |
| ▶ | 93.4% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 (*.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) x x)) |
| ✓ | 93.4% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 (*.f64 x 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 x)) |
| ▶ | 63.3% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) x x)) |
| 63.7% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x (*.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)))) #s(literal 1/6 binary64))) x x)) | |
| 92.4% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 (*.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 x)) | |
| 92.4% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))) x x)) | |
| 84.2% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) x)) | |
| ✓ | 84.2% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x)) |
| 63.3% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))))) | |
| 63.3% | #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) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) | |
| 63.7% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 x x) (*.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)) #s(literal 1 binary64)))) | |
| 50.3% | #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)))) | |
| 91.4% | #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) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) | |
| 92.4% | #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 (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) (*.f64 x x))) #s(literal 1 binary64)))) | |
| ▶ | 92.4% | #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 (*.f64 x x) (*.f64 x x)))) #s(literal 1 binary64)))) |
| 84.2% | #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) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) | |
| 51.1% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x #s(approx (+ (* (* (* x x) (* x x)) (+ (* (* x x) 1/5040) 1/120)) (+ (* x (* x 1/6)) 1)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))))) | |
| 51.0% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x #s(approx (+ (* (* (* x x) (* x x)) (+ (* (* x x) 1/5040) 1/120)) (+ (* x (* x 1/6)) 1)) (*.f64 x (*.f64 x (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))))))))) | |
| ✓ | 46.9% | #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)))) |
| ▶ | 49.2% | #s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x)))) |
| 49.2% | #s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x))))) | |
| 49.2% | #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 (*.f64 x (*.f64 x x))) #s(literal 1/120 binary64))))) | |
| 49.3% | #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)))))) | |
| 49.2% | #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 x (*.f64 (*.f64 x #s(literal 1/120 binary64)) x)))))) | |
| ▶ | 42.4% | #s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))) |
Compiled 1 079 to 519 computations (51.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) x x) | |
| cost-diff | 0 | #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) x x)) | |
| cost-diff | 128 | (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) | |
| cost-diff | 128 | (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 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 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) #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 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) #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 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) | |
| cost-diff | 0 | (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x)) | |
| cost-diff | 0 | #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x))) | |
| cost-diff | 0 | #s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x)))) | |
| cost-diff | 0 | (*.f64 x (*.f64 x #s(literal 1/6 binary64))) | |
| cost-diff | 0 | (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) | |
| cost-diff | 0 | #s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) | |
| cost-diff | 0 | #s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))) | |
| cost-diff | 0 | (*.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))) | |
| cost-diff | 0 | (*.f64 (*.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) | |
| cost-diff | 0 | (fma.f64 (*.f64 (*.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) x x) | |
| cost-diff | 0 | #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 (*.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) x x)) |
| 9 188× | lower-fma.f32 |
| 9 176× | lower-fma.f64 |
| 5 506× | lower-*.f32 |
| 5 470× | lower-*.f64 |
| 1 602× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 593 |
| 0 | 96 | 533 |
| 1 | 231 | 493 |
| 2 | 461 | 493 |
| 3 | 1082 | 487 |
| 4 | 2150 | 487 |
| 5 | 4976 | 487 |
| 0 | 8044 | 463 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 (*.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) x x)) |
(fma.f64 (*.f64 (*.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) x x) |
(*.f64 (*.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 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 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 (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 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) #s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))) |
#s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
x |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(*.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 (+ (* x (* x 1/120)) 1/6))) x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x)))) |
#s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x))) |
(*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
x |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(*.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 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal 1 binary64)))) |
(*.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 (*.f64 x x) (*.f64 x x)))) #s(literal 1 binary64))) |
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 (*.f64 x x) (*.f64 x x)))) #s(literal 1 binary64)) |
(*.f64 x x) |
#s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) |
#s(literal 1/5040 binary64) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
#s(literal 1 binary64) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) x x)) |
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) x x) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) |
(*.f64 x x) |
x |
(fma.f64 (*.f64 x x) (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64)) |
(/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) |
(-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64))) |
#s(literal 1/14400 binary64) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64)) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x x)) |
#s(literal 1/25401600 binary64) |
(-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) |
#s(literal 1/120 binary64) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
#s(literal 1/5040 binary64) |
#s(literal 1/6 binary64) |
| Outputs |
|---|
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 (*.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) x x)) |
#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)) |
(fma.f64 (*.f64 (*.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) x x) |
(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 (*.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 (*.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))) |
(*.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))) |
(*.f64 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))) |
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)) |
(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 (*.f64 x 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 (*.f64 x 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 x) |
#s(literal 1/5040 binary64) |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 x (*.f64 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 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) |
#s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) |
#s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
x |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(*.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 (+ (* x (* x 1/120)) 1/6))) x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x)))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 (*.f64 x (*.f64 x #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x))))) |
#s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x))) |
#s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 (*.f64 x (*.f64 x #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x)))) |
(*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x)) |
(*.f64 (*.f64 x (*.f64 x #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) |
x |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(*.f64 x (*.f64 x #s(literal 1/120 binary64))) |
(*.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 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) #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 (*.f64 (*.f64 x x) #s(literal 1/5040 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 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 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 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) #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 (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))) #s(literal 1 binary64)) |
(*.f64 x x) |
#s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) |
#s(literal 1/5040 binary64) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(*.f64 x (*.f64 x (*.f64 x x))) |
#s(literal 1 binary64) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) x x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.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)) x)) |
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) x x) |
(fma.f64 (*.f64 x (*.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)) x) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) |
(*.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))) |
(*.f64 x x) |
x |
(fma.f64 (*.f64 x x) (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 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 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) |
(/.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))) |
(-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/25401600 binary64)) #s(literal 1/14400 binary64)) |
#s(literal 1/14400 binary64) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)))) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x x)) |
#s(literal 1/25401600 binary64) |
(-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) |
(fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
#s(literal 1/120 binary64) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
#s(literal 1/5040 binary64) |
#s(literal 1/6 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.3269488277028052 | (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) | |
| accuracy | 0.7452199126119992 | (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64)) | |
| accuracy | 4.250070345770901 | #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) x x)) | |
| accuracy | 23.387925934063833 | (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) | |
| accuracy | 0.11166000976844202 | (*.f64 (*.f64 x x) (*.f64 x x)) | |
| accuracy | 0.4907735388971278 | (*.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) | |
| accuracy | 4.250070345770901 | #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 (*.f64 x x) (*.f64 x x)))) #s(literal 1 binary64)))) | |
| accuracy | 27.961721861856528 | #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) | |
| accuracy | 0.0859375 | (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) | |
| accuracy | 0.36340471031673516 | (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) | |
| accuracy | 5.468607418711575 | #s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x)))) | |
| accuracy | 27.35236986292433 | #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x))) | |
| accuracy | 0.1328125 | (*.f64 x (*.f64 x #s(literal 1/6 binary64))) | |
| accuracy | 0.32421875 | (*.f64 x #s(literal 1/6 binary64)) | |
| accuracy | 10.128953369910581 | #s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))) | |
| accuracy | 27.211633233514753 | #s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) | |
| accuracy | 0.1171875 | (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) | |
| accuracy | 0.16796875 | (*.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))) | |
| accuracy | 0.2605425777028052 | (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) | |
| accuracy | 4.250070345770901 | #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 (*.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) x x)) |
| 156.0ms | 39× | 2 | valid |
| 143.0ms | 69× | 1 | valid |
| 90.0ms | 148× | 0 | valid |
Compiled 434 to 61 computations (85.9% saved)
adjust: 119.0ms (33.3% of total)ival-mult: 80.0ms (22.4% of total)ival-exp: 77.0ms (21.5% of total)ival-add: 35.0ms (9.8% of total)ival-div: 24.0ms (6.7% of total)const: 17.0ms (4.8% of total)ival-sub: 5.0ms (1.4% of total)ival-neg: 1.0ms (0.3% 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 (*.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) x x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 (*.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) x x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (*.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) x x) (patch (fma.f64 (*.f64 (*.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) x x) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.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) (patch (*.f64 (*.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) #<representation binary64>) () ()) |
#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) (patch #s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (patch (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (patch (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x)))) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x))) (patch #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x)) (patch (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (patch (*.f64 x (*.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 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) #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 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) #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 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) #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 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) #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 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64))) (patch (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) (patch (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) x x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) x x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) x x) (patch (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) x x) #<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 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 x #s(literal 1/6 binary64)) (patch (*.f64 x #s(literal 1/6 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 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (patch #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (patch (*.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x x) (*.f64 x x)) (patch (*.f64 (*.f64 x x) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) (patch (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64)) (patch (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 x) (#s(alt #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 (*.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) x x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 (*.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) 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 (*.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) x x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 (*.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) 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 (*.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) x x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 (*.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) 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 (*.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) x x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 (*.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) 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 (*.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) x x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 (*.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) 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 (*.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) x x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 (*.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) 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 (*.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) x x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 (*.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) 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 (*.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) x x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 (*.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) 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 (*.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) x x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 (*.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) 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 (*.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) x x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 (*.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) 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 (*.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) x x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 (*.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) 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 (*.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) x x)) (patch #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 (*.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) x x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 x) (#s(alt (fma.f64 (*.f64 (*.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) x x) (patch (fma.f64 (*.f64 (*.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) x x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* 1/6 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 (*.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) x x) (patch (fma.f64 (*.f64 (*.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) 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 (*.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) x x) (patch (fma.f64 (*.f64 (*.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) 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 (*.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) x x) (patch (fma.f64 (*.f64 (*.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) x x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/5040 (pow x 7)) (taylor inf x) (#s(alt (fma.f64 (*.f64 (*.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) x x) (patch (fma.f64 (*.f64 (*.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) 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 (*.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) x x) (patch (fma.f64 (*.f64 (*.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) x x) #<representation binary64>) () ())) ()) |
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#s(alt (* 1/5040 (pow x 4)) (taylor inf x) (#s(alt (*.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (patch (*.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/5040 (pow x 4)) (taylor inf x) (#s(alt (*.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (patch (*.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/5040 (pow x 4)) (taylor inf x) (#s(alt (*.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (patch (*.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/5040 (pow x 4)) (taylor inf x) (#s(alt (*.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (patch (*.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/5040 (pow x 4)) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (patch (*.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/5040 (pow x 4)) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (patch (*.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/5040 (pow x 4)) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (patch (*.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/5040 (pow x 4)) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (patch (*.f64 #s(literal 1/5040 binary64) (*.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 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>) () ())) ()) |
#s(alt 1/120 (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) (patch (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/120 (* 1/5040 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) (patch (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/120 (* 1/5040 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) (patch (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/120 (* 1/5040 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) (patch (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/5040 (pow x 2)) (taylor inf x) (#s(alt (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) (patch (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) (patch (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) (patch (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) (patch (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/5040 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) (patch (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) (patch (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) (patch (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) (patch (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/25401600 (pow x 4)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64)) (patch (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/25401600 (pow x 4)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64)) (patch (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/25401600 (pow x 4)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64)) (patch (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/25401600 (pow x 4)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64)) (patch (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/25401600 (pow x 4)) (taylor inf x) (#s(alt (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64)) (patch (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/25401600 (pow x 4)) (taylor inf x) (#s(alt (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64)) (patch (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/25401600 (pow x 4)) (taylor inf x) (#s(alt (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64)) (patch (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/25401600 (pow x 4)) (taylor inf x) (#s(alt (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64)) (patch (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/25401600 (pow x 4)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64)) (patch (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/25401600 (pow x 4)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64)) (patch (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/25401600 (pow x 4)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64)) (patch (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/25401600 (pow x 4)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64)) (patch (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/5040 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/5040 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/5040 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/5040 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/5040 (pow x 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/5040 (pow x 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/5040 (pow x 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/5040 (pow x 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/5040 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/5040 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/5040 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/5040 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) #<representation binary64>) () ())) ()) |
90 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (+ (* (* (* x x) (+ (* (* x x) (/ (- 1/14400 (* (* x (* x (* x x))) 1/25401600)) (- 1/120 (* (* x x) 1/5040)))) 1/6)) x) x) |
| 0.0ms | x | @ | -inf | (* x (* x (* x 1/6))) |
| 0.0ms | x | @ | inf | (* (* x (* x (* x x))) 1/25401600) |
| 0.0ms | x | @ | -inf | (+ (* (* (* x x) (+ (* (* x x) (/ (- 1/14400 (* (* x (* x (* x x))) 1/25401600)) (- 1/120 (* (* x x) 1/5040)))) 1/6)) x) x) |
| 0.0ms | x | @ | inf | (* x (* x (* x 1/6))) |
| 1× | egg-herbie |
| 13 822× | lower-fma.f64 |
| 13 822× | lower-fma.f32 |
| 3 688× | lower-*.f64 |
| 3 688× | lower-*.f32 |
| 1 992× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 118 | 2800 |
| 1 | 368 | 2724 |
| 2 | 935 | 2707 |
| 3 | 2437 | 2704 |
| 4 | 5489 | 2704 |
| 0 | 8450 | 2536 |
| 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 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))) |
(* (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)))))) |
(* 1/5040 (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)))))) |
(* 1/6 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 (* 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)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (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 (* 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))) |
(* 1/120 (pow x 5)) |
(* 1/120 (pow x 5)) |
(* 1/120 (pow x 5)) |
(* 1/120 (pow x 5)) |
(* 1/120 (pow x 5)) |
(* 1/120 (pow x 5)) |
(* 1/120 (pow x 5)) |
(* 1/120 (pow x 5)) |
(* 1/120 (pow x 5)) |
(* 1/120 (pow x 5)) |
(* 1/120 (pow x 5)) |
(* 1/120 (pow x 5)) |
(* 1/120 (pow x 3)) |
(* 1/120 (pow x 3)) |
(* 1/120 (pow x 3)) |
(* 1/120 (pow x 3)) |
(* 1/120 (pow x 3)) |
(* 1/120 (pow x 3)) |
(* 1/120 (pow x 3)) |
(* 1/120 (pow x 3)) |
(* 1/120 (pow x 3)) |
(* 1/120 (pow x 3)) |
(* 1/120 (pow x 3)) |
(* 1/120 (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 |
(+ 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)))))) |
(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) |
1/14400 |
(+ 1/14400 (* -1/25401600 (pow x 4))) |
(+ 1/14400 (* -1/25401600 (pow x 4))) |
(+ 1/14400 (* -1/25401600 (pow x 4))) |
(* -1/25401600 (pow x 4)) |
(* (pow x 4) (- (* 1/14400 (/ 1 (pow x 4))) 1/25401600)) |
(* (pow x 4) (- (* 1/14400 (/ 1 (pow x 4))) 1/25401600)) |
(* (pow x 4) (- (* 1/14400 (/ 1 (pow x 4))) 1/25401600)) |
(* -1/25401600 (pow x 4)) |
(* (pow x 4) (- (* 1/14400 (/ 1 (pow x 4))) 1/25401600)) |
(* (pow x 4) (- (* 1/14400 (/ 1 (pow x 4))) 1/25401600)) |
(* (pow x 4) (- (* 1/14400 (/ 1 (pow x 4))) 1/25401600)) |
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) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* -1/5040 (pow x 2)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 2) (- (* 1/120 (/ 1 (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 |
(+ 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 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 (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)))))) |
(* 1/5040 (pow x 4)) |
(* 1/5040 (pow x 4)) |
(* 1/5040 (pow x 4)) |
(* 1/5040 (pow x 4)) |
(* 1/5040 (pow x 4)) |
(* 1/5040 (pow x 4)) |
(* 1/5040 (pow x 4)) |
(* 1/5040 (pow x 4)) |
(* 1/5040 (pow x 4)) |
(* 1/5040 (pow x 4)) |
(* 1/5040 (pow x 4)) |
(* 1/5040 (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) |
(pow x 4) |
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 4)) |
(* 1/25401600 (pow x 4)) |
(* 1/25401600 (pow x 4)) |
(* 1/25401600 (pow x 4)) |
(* 1/25401600 (pow x 4)) |
(* 1/25401600 (pow x 4)) |
(* 1/25401600 (pow x 4)) |
(* 1/25401600 (pow x 4)) |
(* 1/25401600 (pow x 4)) |
(* 1/25401600 (pow x 4)) |
(* 1/25401600 (pow x 4)) |
(* 1/25401600 (pow x 4)) |
(* 1/5040 (pow x 2)) |
(* 1/5040 (pow x 2)) |
(* 1/5040 (pow x 2)) |
(* 1/5040 (pow x 2)) |
(* 1/5040 (pow x 2)) |
(* 1/5040 (pow x 2)) |
(* 1/5040 (pow x 2)) |
(* 1/5040 (pow x 2)) |
(* 1/5040 (pow x 2)) |
(* 1/5040 (pow x 2)) |
(* 1/5040 (pow x 2)) |
(* 1/5040 (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 (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 (*.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 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 (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 (*.f64 x 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)))) |
(* (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 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))) |
(*.f64 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)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))) |
(*.f64 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)))) |
(* 1/5040 (pow x 6)) |
(*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) |
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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)))) |
(* -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 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)) |
(* 1/5040 (pow x 6)) |
(*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (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 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (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)) |
(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) |
1/14400 |
#s(literal 1/14400 binary64) |
(+ 1/14400 (* -1/25401600 (pow x 4))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/25401600 binary64) #s(literal 1/14400 binary64)) |
(+ 1/14400 (* -1/25401600 (pow x 4))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/25401600 binary64) #s(literal 1/14400 binary64)) |
(+ 1/14400 (* -1/25401600 (pow x 4))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/25401600 binary64) #s(literal 1/14400 binary64)) |
(* -1/25401600 (pow x 4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/25401600 binary64)) |
(* (pow x 4) (- (* 1/14400 (/ 1 (pow x 4))) 1/25401600)) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/25401600 binary64) #s(literal 1/14400 binary64)) |
(* (pow x 4) (- (* 1/14400 (/ 1 (pow x 4))) 1/25401600)) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/25401600 binary64) #s(literal 1/14400 binary64)) |
(* (pow x 4) (- (* 1/14400 (/ 1 (pow x 4))) 1/25401600)) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/25401600 binary64) #s(literal 1/14400 binary64)) |
(* -1/25401600 (pow x 4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/25401600 binary64)) |
(* (pow x 4) (- (* 1/14400 (/ 1 (pow x 4))) 1/25401600)) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/25401600 binary64) #s(literal 1/14400 binary64)) |
(* (pow x 4) (- (* 1/14400 (/ 1 (pow x 4))) 1/25401600)) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/25401600 binary64) #s(literal 1/14400 binary64)) |
(* (pow x 4) (- (* 1/14400 (/ 1 (pow x 4))) 1/25401600)) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/25401600 binary64) #s(literal 1/14400 binary64)) |
1/120 |
#s(literal 1/120 binary64) |
(+ 1/120 (* -1/5040 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) |
(+ 1/120 (* -1/5040 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) |
(+ 1/120 (* -1/5040 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) |
(* -1/5040 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/5040 binary64))) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) |
(* -1/5040 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/5040 binary64))) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 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 (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 (*.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 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 (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 (*.f64 x 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)))) |
(* (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)))))) |
1/120 |
#s(literal 1/120 binary64) |
(+ 1/120 (* 1/5040 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
(+ 1/120 (* 1/5040 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
(+ 1/120 (* 1/5040 (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)) |
(* 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)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* x (+ 1/120 (* 1/5040 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
(* x (+ 1/120 (* 1/5040 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
(* x (+ 1/120 (* 1/5040 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 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 x (*.f64 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 x (*.f64 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 x (*.f64 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 x (*.f64 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 x (*.f64 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 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 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)) |
(* 1/6 x) |
(*.f64 x #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 x (*.f64 x (fma.f64 x (*.f64 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 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) |
(* 1/5040 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 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 x (*.f64 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 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) |
(* 1/5040 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 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 x (*.f64 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 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) |
(* 1/5040 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)))) |
(* 1/5040 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)))) |
(* 1/5040 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)))) |
(* 1/5040 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)))) |
(* 1/5040 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)))) |
(* 1/5040 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)))) |
(* 1/5040 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)))) |
(* 1/5040 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)))) |
(* 1/5040 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)))) |
(* 1/5040 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)))) |
(* 1/5040 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)))) |
(* 1/5040 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.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))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
1/120 |
#s(literal 1/120 binary64) |
(+ 1/120 (* 1/5040 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
(+ 1/120 (* 1/5040 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
(+ 1/120 (* 1/5040 (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)) |
(* 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)) |
(* 1/25401600 (pow x 4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64)) |
(* 1/25401600 (pow x 4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64)) |
(* 1/25401600 (pow x 4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64)) |
(* 1/25401600 (pow x 4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64)) |
(* 1/25401600 (pow x 4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64)) |
(* 1/25401600 (pow x 4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64)) |
(* 1/25401600 (pow x 4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64)) |
(* 1/25401600 (pow x 4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64)) |
(* 1/25401600 (pow x 4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64)) |
(* 1/25401600 (pow x 4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64)) |
(* 1/25401600 (pow x 4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64)) |
(* 1/25401600 (pow x 4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64)) |
(* 1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
(* 1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
(* 1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
(* 1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
(* 1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
(* 1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
(* 1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
(* 1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
(* 1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
(* 1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
(* 1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
(* 1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
| 5 720× | lower-fma.f32 |
| 5 710× | lower-fma.f64 |
| 4 958× | lower-*.f32 |
| 4 922× | lower-*.f64 |
| 4 556× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 492 |
| 0 | 96 | 397 |
| 1 | 410 | 349 |
| 2 | 2706 | 343 |
| 0 | 9111 | 329 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 (*.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) x x)) |
(fma.f64 (*.f64 (*.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) x x) |
(*.f64 (*.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 x (*.f64 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) #s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))) |
#s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x)))) |
#s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x))) |
(*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x)) |
(*.f64 x (*.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 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal 1 binary64)))) |
(*.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 (*.f64 x x) (*.f64 x x)))) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal 1 binary64)) |
(*.f64 x x) |
(-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64))) |
(-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) x x)) |
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) x 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 x #s(literal 1/6 binary64)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
#s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64)) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
| Outputs |
|---|
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x (*.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)) x)) |
(+.f64 x (*.f64 (*.f64 x (*.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 (*.f64 (*.f64 x (*.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))) x) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.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 (*.f64 x (*.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 (*.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)) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.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)) (neg.f64 x)))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 x (*.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 (*.f64 (*.f64 (*.f64 x (*.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 (*.f64 x (*.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 (*.f64 (*.f64 x (*.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 x #s(literal 1 binary64) (*.f64 (*.f64 x (*.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 x (*.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))) x) |
(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) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (*.f64 x (*.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 (*.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)) x) |
(fma.f64 (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 (*.f64 x x)) x) |
(fma.f64 (*.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))) x x) |
(fma.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 x) x) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 (*.f64 x (*.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 (*.f64 (*.f64 x (*.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 (*.f64 x (*.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 (*.f64 x (*.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 (*.f64 (*.f64 x (*.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 (*.f64 x (*.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 (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x (*.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)) (neg.f64 x)) (*.f64 (fma.f64 (*.f64 x (*.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)) x) (fma.f64 (*.f64 x (*.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)) (neg.f64 x))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 x (*.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 (*.f64 (*.f64 x (*.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 (*.f64 x (*.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 (*.f64 x x))) (fma.f64 x (-.f64 x (*.f64 (*.f64 x (*.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 (*.f64 (*.f64 x (*.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 (*.f64 x (*.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 (fma.f64 (*.f64 (*.f64 x (*.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 (*.f64 (*.f64 x (*.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 (*.f64 x (*.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 (*.f64 x x))) (fma.f64 x x (-.f64 (*.f64 (*.f64 (*.f64 x (*.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 (*.f64 x (*.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 (*.f64 (*.f64 x (*.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))))))) |
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(*.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 1/5040 binary64)) (*.f64 x #s(literal 1/5040 binary64)))) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64))) |
(*.f64 (*.f64 x x) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))) |
(*.f64 (*.f64 x #s(literal 1/5040 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))) #s(literal 1/5040 binary64)) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/25401600 binary64))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64)) |
(*.f64 #s(literal 1/25401600 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(*.f64 (*.f64 x (*.f64 x #s(literal 1/5040 binary64))) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))) |
(*.f64 (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))) (*.f64 x #s(literal 1/5040 binary64))) |
(*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64))) x) |
(*.f64 (*.f64 (*.f64 x #s(literal 1/5040 binary64)) (*.f64 x #s(literal 1/5040 binary64))) (*.f64 x x)) |
(*.f64 (*.f64 #s(literal 1/25401600 binary64) x) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 #s(literal 1/25401600 binary64) (*.f64 x x)) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/5040 binary64))) #s(literal 1/5040 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/5040 binary64))) (*.f64 x #s(literal 1/5040 binary64))) x) |
(*.f64 x (*.f64 x #s(literal 1/5040 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal 1/5040 binary64)) x) |
Compiled 41 473 to 3 158 computations (92.4% saved)
35 alts after pruning (27 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 144 | 13 | 1 157 |
| Fresh | 5 | 14 | 19 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 150 | 35 | 1 185 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (sinh.f64 x) |
| 52.1% | #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)) (*.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))) x x)) | |
| 93.4% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 (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)))))) x) x x)) | |
| 63.7% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 (*.f64 x (fma.f64 x (/.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64))) #s(literal -1/14400 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64))) x) x x)) | |
| 63.3% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 (*.f64 x (fma.f64 x (/.f64 (*.f64 x (fma.f64 (*.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 1/6 binary64))) x) x x)) | |
| ✓ | 93.4% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 (*.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) x x)) |
| ✓ | 93.4% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 (*.f64 x 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 x)) |
| 63.3% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 (fma.f64 (neg.f64 x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64))) #s(literal 1/14400 binary64)) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) x x)) | |
| 63.3% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))) (*.f64 x #s(literal 1/5040 binary64)))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) x x)) | |
| 63.3% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 (*.f64 x 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 (*.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) x x)) | |
| 91.5% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (/ (- 1/14400 (* (* x (* x (* x x))) 1/25401600)) (- 1/120 (* (* x x) 1/5040))) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x x)) | |
| 92.4% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 (*.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 x)) | |
| 92.4% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))) x x)) | |
| ✓ | 84.2% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x)) |
| 63.3% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))))) | |
| 63.3% | #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) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) | |
| 63.7% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 x x) (*.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)) #s(literal 1 binary64)))) | |
| 50.3% | #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)))) | |
| 91.4% | #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) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) | |
| 92.4% | #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 (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) (*.f64 x x))) #s(literal 1 binary64)))) | |
| ✓ | 92.4% | #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 (*.f64 x x) (*.f64 x x)))) #s(literal 1 binary64)))) |
| 84.2% | #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) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) | |
| 51.1% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x #s(approx (+ (* (* (* x x) (* x x)) (+ (* (* x x) 1/5040) 1/120)) (+ (* x (* x 1/6)) 1)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))))) | |
| 51.0% | #s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x #s(approx (+ (* (* (* x x) (* x x)) (+ (* (* x x) 1/5040) 1/120)) (+ (* x (* x 1/6)) 1)) (*.f64 x (*.f64 x (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x))))))))) | |
| 51.0% | #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) (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))))) | |
| ✓ | 46.9% | #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)))) |
| ✓ | 49.2% | #s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x)))) |
| 49.2% | #s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))) | |
| 49.2% | #s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x))))) | |
| 49.3% | #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)))))) | |
| 49.2% | #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 x (*.f64 (*.f64 x #s(literal 1/120 binary64)) x)))))) | |
| 42.4% | #s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)))) | |
| 42.4% | #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))))) | |
| 42.4% | #s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) | |
| ✓ | 42.4% | #s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))) |
Compiled 1 790 to 585 computations (67.3% 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 x (*.f64 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 x (*.f64 (*.f64 x 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 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 x)) #s(literal 1/6 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) #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 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 x (*.f64 x (*.f64 (*.f64 x #s(literal 1/120 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 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))) |
#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 (*.f64 x (*.f64 x x))) #s(literal 1/120 binary64))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.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) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (fma.f64 (*.f64 x x) #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 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 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (/ (- 1/14400 (* (* x (* x (* x x))) 1/25401600)) (- 1/120 (* (* x x) 1/5040))) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) 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 1/5040)) 1/120))) 1/6)) 1) (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.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) 1/5040) 1/120)) (+ (* x (* x 1/6)) 1)) (*.f64 x (*.f64 x (*.f64 x (*.f64 #s(literal 1/5040 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)) (+ (* x (* x 1/6)) 1)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x (*.f64 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)))) |
#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 (*.f64 x 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 (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) (*.f64 x x))) #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))) 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 (*.f64 x 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 x #s(approx (+ (* x (* x 1/5040)) 1/120) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 (*.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 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) (fma.f64 (*.f64 (*.f64 x 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 x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 (*.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) x x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 (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)))))) x) x x)) |
(*.f64 #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(literal 1/2 binary64)) |
#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))))) |
(/.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 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))) #s(literal 2 binary64)))) #s(literal 2 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 (*.f64 x (fma.f64 x (/.f64 (*.f64 x (fma.f64 (*.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 1/6 binary64))) x) x x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 (*.f64 x (fma.f64 x (/.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64))) #s(literal -1/14400 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64))) x) x x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 x x) (*.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)) #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 (*.f64 x 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 (*.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) x x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) x x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 (fma.f64 (neg.f64 x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64))) #s(literal 1/14400 binary64)) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) x x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x (*.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)))) #s(literal 1/6 binary64))) x x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))) (*.f64 x #s(literal 1/5040 binary64)))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) x x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) (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) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) (/.f64 #s(literal 1 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)) |
#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 x) (*.f64 (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)) (*.f64 x 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 x)) |
#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)) (*.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))) x x)) |
(sinh.f64 x) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| Outputs |
|---|
(sinh.f64 x) |
3 calls:
| 15.0ms | x |
| 13.0ms | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 11.0ms | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 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 x (*.f64 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 x (*.f64 (*.f64 x 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 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 x)) #s(literal 1/6 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) #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 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 x (*.f64 x (*.f64 (*.f64 x #s(literal 1/120 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 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))) |
#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 (*.f64 x (*.f64 x x))) #s(literal 1/120 binary64))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.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) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (fma.f64 (*.f64 x x) #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 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 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (/ (- 1/14400 (* (* x (* x (* x x))) 1/25401600)) (- 1/120 (* (* x x) 1/5040))) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) 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 1/5040)) 1/120))) 1/6)) 1) (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.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) 1/5040) 1/120)) (+ (* x (* x 1/6)) 1)) (*.f64 x (*.f64 x (*.f64 x (*.f64 #s(literal 1/5040 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)) (+ (* x (* x 1/6)) 1)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x (*.f64 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)))) |
#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 (*.f64 x 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 (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) (*.f64 x x))) #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))) 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 (*.f64 x 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 x #s(approx (+ (* x (* x 1/5040)) 1/120) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 (*.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 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) (fma.f64 (*.f64 (*.f64 x 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 x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 (*.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) x x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 (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)))))) x) x x)) |
(*.f64 #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(literal 1/2 binary64)) |
#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))))) |
(/.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 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))) #s(literal 2 binary64)))) #s(literal 2 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 (*.f64 x (fma.f64 x (/.f64 (*.f64 x (fma.f64 (*.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 1/6 binary64))) x) x x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 (*.f64 x (fma.f64 x (/.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64))) #s(literal -1/14400 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64))) x) x x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 x x) (*.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)) #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 (*.f64 x 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 (*.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) x x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) x x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 (fma.f64 (neg.f64 x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64))) #s(literal 1/14400 binary64)) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) x x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x (*.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)))) #s(literal 1/6 binary64))) x x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))) (*.f64 x #s(literal 1/5040 binary64)))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) x x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) (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) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) (/.f64 #s(literal 1 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)) |
#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 x) (*.f64 (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)) (*.f64 x 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 x)) |
#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)) (*.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))) x x)) |
| Outputs |
|---|
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (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)) (*.f64 x 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 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 x (*.f64 (*.f64 x #s(literal 1/120 binary64)) x)))))) |
3 calls:
| 16.0ms | x |
| 11.0ms | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 11.0ms | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.9% | 2 | x |
| 93.4% | 1 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 93.4% | 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 x (*.f64 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 x (*.f64 (*.f64 x 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 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 x)) #s(literal 1/6 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) #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 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 x (*.f64 x (*.f64 (*.f64 x #s(literal 1/120 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 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))) |
#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 (*.f64 x (*.f64 x x))) #s(literal 1/120 binary64))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.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) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (fma.f64 (*.f64 x x) #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 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 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (/ (- 1/14400 (* (* x (* x (* x x))) 1/25401600)) (- 1/120 (* (* x x) 1/5040))) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) 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 1/5040)) 1/120))) 1/6)) 1) (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.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) 1/5040) 1/120)) (+ (* x (* x 1/6)) 1)) (*.f64 x (*.f64 x (*.f64 x (*.f64 #s(literal 1/5040 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)) (+ (* x (* x 1/6)) 1)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x (*.f64 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)))) |
#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 (*.f64 x 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 (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) (*.f64 x x))) #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))) 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 (*.f64 x 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 x #s(approx (+ (* x (* x 1/5040)) 1/120) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 (*.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 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) (fma.f64 (*.f64 (*.f64 x 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 x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 (*.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) x x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 (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)))))) x) x x)) |
(*.f64 #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(literal 1/2 binary64)) |
#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))))) |
(/.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 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))) #s(literal 2 binary64)))) #s(literal 2 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 (*.f64 x (fma.f64 x (/.f64 (*.f64 x (fma.f64 (*.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 1/6 binary64))) x) x x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 (*.f64 x (fma.f64 x (/.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64))) #s(literal -1/14400 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64))) x) x x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 x x) (*.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)) #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 (*.f64 x 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 (*.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) x x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) x x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 (fma.f64 (neg.f64 x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64))) #s(literal 1/14400 binary64)) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) x x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x (*.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)))) #s(literal 1/6 binary64))) x x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))) (*.f64 x #s(literal 1/5040 binary64)))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64))) x x)) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) (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) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) (/.f64 #s(literal 1 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)) |
#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)))) |
| Outputs |
|---|
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 (*.f64 x 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 x)) |
3 calls:
| 14.0ms | x |
| 12.0ms | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 10.0ms | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.4% | 1 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 93.4% | 1 | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 93.4% | 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 x (*.f64 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 x (*.f64 (*.f64 x 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 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 x)) #s(literal 1/6 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) #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 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 x (*.f64 x (*.f64 (*.f64 x #s(literal 1/120 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 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))) |
#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 (*.f64 x (*.f64 x x))) #s(literal 1/120 binary64))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.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) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (fma.f64 (*.f64 x x) #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 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 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (/ (- 1/14400 (* (* x (* x (* x x))) 1/25401600)) (- 1/120 (* (* x x) 1/5040))) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) 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 1/5040)) 1/120))) 1/6)) 1) (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.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) 1/5040) 1/120)) (+ (* x (* x 1/6)) 1)) (*.f64 x (*.f64 x (*.f64 x (*.f64 #s(literal 1/5040 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)) (+ (* x (* x 1/6)) 1)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x (*.f64 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)))) |
#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 (*.f64 x 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 (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) (*.f64 x x))) #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))) 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 (*.f64 x 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 x #s(approx (+ (* x (* x 1/5040)) 1/120) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 (*.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 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)))) |
| 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 |
| 7.0ms | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 7.0ms | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.3% | 1 | x |
| 93.3% | 1 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 93.3% | 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 x (*.f64 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 x (*.f64 (*.f64 x 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 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 x)) #s(literal 1/6 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) #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 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 x (*.f64 x (*.f64 (*.f64 x #s(literal 1/120 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 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))) |
#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 (*.f64 x (*.f64 x x))) #s(literal 1/120 binary64))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.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) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (fma.f64 (*.f64 x x) #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 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 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (/ (- 1/14400 (* (* x (* x (* x x))) 1/25401600)) (- 1/120 (* (* x x) 1/5040))) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) 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 1/5040)) 1/120))) 1/6)) 1) (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.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) 1/5040) 1/120)) (+ (* x (* x 1/6)) 1)) (*.f64 x (*.f64 x (*.f64 x (*.f64 #s(literal 1/5040 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)) (+ (* x (* x 1/6)) 1)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x (*.f64 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)))) |
#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 (*.f64 x 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 (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) (*.f64 x x))) #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))) 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 (*.f64 x 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 x #s(approx (+ (* x (* x 1/5040)) 1/120) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 (*.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 x)) |
| Outputs |
|---|
#s(approx (/ (- (exp x) (exp (neg x))) 2) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(approx (+ (* x (* x 1/5040)) 1/120) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
3 calls:
| 9.0ms | x |
| 7.0ms | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 7.0ms | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.0% | 1 | x |
| 93.0% | 1 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 93.0% | 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 x (*.f64 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 x (*.f64 (*.f64 x 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 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 x)) #s(literal 1/6 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) #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 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 x (*.f64 x (*.f64 (*.f64 x #s(literal 1/120 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 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))) |
#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 (*.f64 x (*.f64 x x))) #s(literal 1/120 binary64))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.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) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (fma.f64 (*.f64 x x) #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 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 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (/ (- 1/14400 (* (* x (* x (* x x))) 1/25401600)) (- 1/120 (* (* x x) 1/5040))) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) 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 1/5040)) 1/120))) 1/6)) 1) (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.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) 1/5040) 1/120)) (+ (* x (* x 1/6)) 1)) (*.f64 x (*.f64 x (*.f64 x (*.f64 #s(literal 1/5040 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)) (+ (* x (* x 1/6)) 1)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x (*.f64 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)))) |
#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 (*.f64 x 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 (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) (*.f64 x x))) #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))) 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 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 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 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #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 |
|---|---|---|
| 92.4% | 1 | x |
| 92.4% | 1 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 92.4% | 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 x (*.f64 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 x (*.f64 (*.f64 x 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 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 x)) #s(literal 1/6 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) #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 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 x (*.f64 x (*.f64 (*.f64 x #s(literal 1/120 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 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))) |
#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 (*.f64 x (*.f64 x x))) #s(literal 1/120 binary64))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.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) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (fma.f64 (*.f64 x x) #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 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 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (/ (- 1/14400 (* (* x (* x (* x x))) 1/25401600)) (- 1/120 (* (* x x) 1/5040))) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) 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 1/5040)) 1/120))) 1/6)) 1) (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.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) 1/5040) 1/120)) (+ (* x (* x 1/6)) 1)) (*.f64 x (*.f64 x (*.f64 x (*.f64 #s(literal 1/5040 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)) (+ (* x (* x 1/6)) 1)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x (*.f64 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)))) |
#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 (*.f64 x 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 (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) (*.f64 x x))) #s(literal 1 binary64)))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))) 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 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)))) |
3 calls:
| 10.0ms | (-.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 |
|---|---|---|
| 92.4% | 1 | x |
| 92.4% | 1 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 92.4% | 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 x (*.f64 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 x (*.f64 (*.f64 x 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 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 x)) #s(literal 1/6 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) #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 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 x (*.f64 x (*.f64 (*.f64 x #s(literal 1/120 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 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))) |
#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 (*.f64 x (*.f64 x x))) #s(literal 1/120 binary64))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.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) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (fma.f64 (*.f64 x x) #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 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 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (/ (- 1/14400 (* (* x (* x (* x x))) 1/25401600)) (- 1/120 (* (* x x) 1/5040))) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) 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 1/5040)) 1/120))) 1/6)) 1) (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.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) 1/5040) 1/120)) (+ (* x (* x 1/6)) 1)) (*.f64 x (*.f64 x (*.f64 x (*.f64 #s(literal 1/5040 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)) (+ (* x (* x 1/6)) 1)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x (*.f64 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 #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) 1/5040) 1/120)) (+ (* x (* x 1/6)) 1)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))))) |
3 calls:
| 7.0ms | x |
| 5.0ms | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 5.0ms | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.4% | 2 | x |
| 93.4% | 2 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 93.4% | 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 x (*.f64 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 x (*.f64 (*.f64 x 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 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 x)) #s(literal 1/6 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) #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 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 x (*.f64 x (*.f64 (*.f64 x #s(literal 1/120 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 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))) |
#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 (*.f64 x (*.f64 x x))) #s(literal 1/120 binary64))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.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) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (fma.f64 (*.f64 x x) #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 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 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (/ (- 1/14400 (* (* x (* x (* x x))) 1/25401600)) (- 1/120 (* (* x x) 1/5040))) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) 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 1/5040)) 1/120))) 1/6)) 1) (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.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) 1/5040) 1/120)) (+ (* x (* x 1/6)) 1)) (*.f64 x (*.f64 x (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 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 #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 1/5040)) 1/120))) 1/6)) 1) (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))))) |
3 calls:
| 6.0ms | x |
| 6.0ms | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 5.0ms | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.4% | 2 | x |
| 93.4% | 2 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 93.4% | 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 x (*.f64 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 x (*.f64 (*.f64 x 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 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 x)) #s(literal 1/6 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) #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 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 x (*.f64 x (*.f64 (*.f64 x #s(literal 1/120 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 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))) |
#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 (*.f64 x (*.f64 x x))) #s(literal 1/120 binary64))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.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) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (fma.f64 (*.f64 x x) #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 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 (*.f64 x x) (fma.f64 (*.f64 x x) #s(approx (/ (- 1/14400 (* (* x (* x (* x x))) 1/25401600)) (- 1/120 (* (* x x) 1/5040))) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) 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 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x)) |
3 calls:
| 6.0ms | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 6.0ms | x |
| 5.0ms | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.5% | 1 | x |
| 91.5% | 1 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 91.5% | 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 x (*.f64 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 x (*.f64 (*.f64 x 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 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 x)) #s(literal 1/6 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) #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 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 x (*.f64 x (*.f64 (*.f64 x #s(literal 1/120 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 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))) |
#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 (*.f64 x (*.f64 x x))) #s(literal 1/120 binary64))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.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) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #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) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
3 calls:
| 5.0ms | x |
| 5.0ms | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 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 x (*.f64 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 x (*.f64 (*.f64 x 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 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 x)) #s(literal 1/6 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) #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 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 x (*.f64 x (*.f64 (*.f64 x #s(literal 1/120 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 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))) |
#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 (*.f64 x (*.f64 x x))) #s(literal 1/120 binary64))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.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)) |
| 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:
| 5.0ms | x |
| 5.0ms | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 4.0ms | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.5% | 1 | x |
| 90.5% | 1 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 90.5% | 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 x (*.f64 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 x (*.f64 (*.f64 x 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 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 x)) #s(literal 1/6 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) #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 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 x (*.f64 x (*.f64 (*.f64 x #s(literal 1/120 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 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))) |
#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 (*.f64 x (*.f64 x x))) #s(literal 1/120 binary64))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.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:
| 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 |
|---|---|---|
| 91.1% | 2 | x |
| 91.1% | 2 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 91.1% | 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 x (*.f64 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 x (*.f64 (*.f64 x 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 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 x)) #s(literal 1/6 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) #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 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 x (*.f64 x (*.f64 (*.f64 x #s(literal 1/120 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 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))) |
#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 (*.f64 x (*.f64 x x))) #s(literal 1/120 binary64))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x (+ (* x (* x 1/120)) 1/6))) x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.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 x (*.f64 x (*.f64 (*.f64 x #s(literal 1/120 binary64)) x)))))) |
3 calls:
| 7.0ms | (/.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 |
|---|---|---|
| 91.1% | 2 | x |
| 91.1% | 2 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 91.1% | 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 x (*.f64 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 x (*.f64 (*.f64 x 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 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 x)) #s(literal 1/6 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) #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 x)) #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:
| 5.0ms | 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 |
|---|---|---|
| 84.2% | 1 | x |
| 84.2% | 1 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 84.2% | 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 x (*.f64 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 x (*.f64 (*.f64 x 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 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 x)) #s(literal 1/6 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) #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 (-.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 |
|---|---|---|
| 84.2% | 1 | x |
| 84.2% | 1 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 84.2% | 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 x (*.f64 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 x (*.f64 (*.f64 x 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 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 x)) #s(literal 1/6 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)))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) #s(approx (+ (* (* x x) (* x 1/6)) x) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))) |
3 calls:
| 4.0ms | 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 |
|---|---|---|
| 83.5% | 2 | x |
| 83.5% | 2 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 83.5% | 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:
| 1.0ms | 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 |
|---|---|---|
| 46.9% | 1 | x |
| 46.9% | 1 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 46.9% | 1 | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
Compiled 18 to 13 computations (27.8% saved)
| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 3.0ms | 1.6077632054993424e+57 | 4.3392932128993415e+64 |
| 2.0ms | 32× | 0 | valid |
Compiled 130 to 59 computations (54.6% saved)
ival-sub: 0.0ms (0% of total)ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-exp: 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 | 0.01349944108785317 | +inf |
Compiled 12 to 11 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.01349944108785317 | +inf |
Compiled 12 to 11 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.01349944108785317 | +inf |
Compiled 12 to 11 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.01349944108785317 | +inf |
Compiled 12 to 11 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.01349944108785317 | +inf |
Compiled 12 to 11 computations (8.3% saved)
| 1× | egg-herbie |
| 82× | *-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 | 143 | 773 |
| 1 | 190 | 773 |
| 2 | 195 | 773 |
| 3 | 198 | 773 |
| 4 | 199 | 773 |
| 1× | saturated |
| Inputs |
|---|
(sinh.f64 x) |
(if (<=.f64 x #s(literal 9999999999999999493871352970740188669636450110134100730839040 binary64)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (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)) (*.f64 x 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 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 x (*.f64 (*.f64 x #s(literal 1/120 binary64)) x))))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 (*.f64 x 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 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) (fma.f64 x (*.f64 x #s(approx (+ (* x (* x 1/5040)) 1/120) (*.f64 x (*.f64 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) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 (*.f64 x 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) #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 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 5764607523034235/288230376151711744 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) (*.f64 x #s(approx (+ (* (* (* x x) (* x x)) (+ (* (* x x) 1/5040) 1/120)) (+ (* x (* x 1/6)) 1)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(if (<=.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 5764607523034235/288230376151711744 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) (*.f64 x #s(approx (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 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) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (fma.f64 (*.f64 x x) #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 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 5764607523034235/288230376151711744 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 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 5764607523034235/288230376151711744 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 x (*.f64 x (*.f64 (*.f64 x #s(literal 1/120 binary64)) 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 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 5764607523034235/288230376151711744 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 x (*.f64 x (*.f64 x #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)))) |
| Outputs |
|---|
(sinh.f64 x) |
(if (<=.f64 x #s(literal 9999999999999999493871352970740188669636450110134100730839040 binary64)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (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)) (*.f64 x 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 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 x (*.f64 (*.f64 x #s(literal 1/120 binary64)) x))))))) |
(if (<=.f64 x #s(literal 9999999999999999493871352970740188669636450110134100730839040 binary64)) #s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (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 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) 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 x (*.f64 x (*.f64 x #s(literal 1/120 binary64))))))))) |
#s(approx (/ (- (exp x) (exp (neg x))) 2) (fma.f64 (*.f64 (*.f64 x 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 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) (fma.f64 x (*.f64 x #s(approx (+ (* x (* x 1/5040)) 1/120) (*.f64 x (*.f64 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) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (*.f64 (*.f64 x 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) #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 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 5764607523034235/288230376151711744 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) (*.f64 x #s(approx (+ (* (* (* x x) (* x x)) (+ (* (* x x) 1/5040) 1/120)) (+ (* x (* x 1/6)) 1)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(if (<=.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 5764607523034235/288230376151711744 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) (*.f64 x #s(approx (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6)) 1) (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 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) (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* x (* x (+ (* x (* x 1/5040)) 1/120))) 1/6) (fma.f64 (*.f64 x x) #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 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 5764607523034235/288230376151711744 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 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 5764607523034235/288230376151711744 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 x (*.f64 x (*.f64 (*.f64 x #s(literal 1/120 binary64)) x))))))) |
(if (<=.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 5764607523034235/288230376151711744 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 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/120 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) (*.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 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 5764607523034235/288230376151711744 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 x (*.f64 x (*.f64 x #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)))) |
| 18 510× | lower-fma.f64 |
| 18 510× | lower-fma.f32 |
| 14 412× | lower-fma.f64 |
| 14 412× | lower-fma.f32 |
| 13 822× | lower-fma.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 92 | 2682 |
| 1 | 281 | 2614 |
| 2 | 736 | 2582 |
| 3 | 2037 | 2582 |
| 4 | 4243 | 2582 |
| 5 | 7054 | 2582 |
| 0 | 8219 | 2421 |
| 0 | 54 | 470 |
| 0 | 81 | 407 |
| 1 | 362 | 355 |
| 2 | 2288 | 349 |
| 0 | 8166 | 339 |
| 0 | 157 | 2298 |
| 1 | 533 | 2238 |
| 2 | 1422 | 2214 |
| 3 | 3927 | 2210 |
| 4 | 7836 | 2210 |
| 0 | 8142 | 2065 |
| 0 | 7 | 21 |
| 0 | 12 | 17 |
| 1 | 47 | 13 |
| 2 | 294 | 13 |
| 0 | 3072 | 13 |
| 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 | 118 | 2800 |
| 1 | 368 | 2724 |
| 2 | 935 | 2707 |
| 3 | 2437 | 2704 |
| 4 | 5489 | 2704 |
| 0 | 8450 | 2536 |
| 1× | fuel |
| 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× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 921 to 402 computations (56.4% saved)
(negabs x)
Compiled 804 to 184 computations (77.1% saved)
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