
Time bar (total: 11.7s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 50.4% | 49.6% | 0% | 0% | 0% | 0 |
| 100% | 50.4% | 0% | 49.6% | 0% | 0% | 0% | 1 |
Compiled 13 to 11 computations (15.4% saved)
| 3.0s | 5 705× | 2 | valid |
| 516.0ms | 2 322× | 1 | valid |
| 16.0ms | 229× | 0 | valid |
ival-exp: 2.0s (65% of total)ival-<=: 332.0ms (10.6% of total)adjust: 256.0ms (8.1% of total)ival-add: 197.0ms (6.3% of total)ival-sub: 123.0ms (3.9% of total)ival-fabs: 96.0ms (3.1% of total)ival-neg: 85.0ms (2.7% of total)exact: 9.0ms (0.3% of total)ival-assert: 3.0ms (0.1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 140 | 111 | (-7.664951451410965e-218) | 0 | - | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
| 0 | 0 | - | 0 | - | (-.f64 (exp.f64 x) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | #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 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) | cancellation | 251 | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 140 | 1 |
| - | 111 | 4 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 140 | 1 | 0 |
| - | 111 | 1 | 3 |
| number | freq |
|---|---|
| 0 | 5 |
| 1 | 251 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 240.0ms | 340× | 2 | valid |
| 166.0ms | 150× | 1 | valid |
| 1.0ms | 22× | 0 | valid |
Compiled 75 to 35 computations (53.3% saved)
ival-exp: 148.0ms (82.4% of total)adjust: 14.0ms (7.8% of total)ival-sub: 7.0ms (3.9% of total)ival-add: 6.0ms (3.3% of total)ival-neg: 2.0ms (1.1% 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 |
| 244× | lower-fma.f64 |
| 244× | lower-fma.f32 |
| 104× | lower-+.f32 |
| 102× | lower-+.f64 |
| 102× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 17 |
| 1 | 31 | 17 |
| 2 | 81 | 16 |
| 3 | 183 | 16 |
| 4 | 308 | 16 |
| 5 | 389 | 16 |
| 6 | 416 | 16 |
| 0 | 7 | 8 |
| 0 | 12 | 8 |
| 1 | 24 | 8 |
| 2 | 40 | 8 |
| 3 | 63 | 8 |
| 4 | 102 | 8 |
| 5 | 168 | 8 |
| 6 | 273 | 8 |
| 7 | 329 | 8 |
| 8 | 382 | 8 |
| 9 | 384 | 8 |
| 0 | 384 | 8 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
| Outputs |
|---|
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64)) |
(abs x)
Compiled 8 to 7 computations (12.5% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 52.1% | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
Compiled 8 to 7 computations (12.5% 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) #s(literal 2 binary64)) | |
| cost-diff | 0 | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
| 244× | lower-fma.f64 |
| 244× | lower-fma.f32 |
| 104× | lower-+.f32 |
| 102× | lower-+.f64 |
| 102× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 21 |
| 0 | 12 | 21 |
| 1 | 24 | 21 |
| 2 | 40 | 21 |
| 3 | 63 | 21 |
| 4 | 102 | 21 |
| 5 | 168 | 21 |
| 6 | 273 | 21 |
| 7 | 329 | 21 |
| 8 | 382 | 21 |
| 9 | 384 | 21 |
| 0 | 384 | 21 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
(-.f64 (exp.f64 x) #s(literal 2 binary64)) |
(exp.f64 x) |
x |
#s(literal 2 binary64) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
| Outputs |
|---|
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64)) |
(-.f64 (exp.f64 x) #s(literal 2 binary64)) |
(exp.f64 x) |
x |
#s(literal 2 binary64) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (exp.f64 (neg.f64 x)) | |
| accuracy | 0 | (exp.f64 x) | |
| accuracy | 0.03515625 | (-.f64 (exp.f64 x) #s(literal 2 binary64)) | |
| accuracy | 30.630022483649505 | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
| 273.0ms | 170× | 2 | valid |
| 10.0ms | 75× | 1 | valid |
| 1.0ms | 11× | 0 | valid |
Compiled 23 to 9 computations (60.9% saved)
ival-exp: 151.0ms (89.9% of total)adjust: 7.0ms (4.2% of total)ival-add: 5.0ms (3% of total)ival-sub: 4.0ms (2.4% of total)ival-neg: 1.0ms (0.6% 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) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (patch (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #<representation binary64>) () ()) |
#s(alt (-.f64 (exp.f64 x) #s(literal 2 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 2 binary64)) #<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>) () ()) |
| Outputs |
|---|
#s(alt (pow x 2) (taylor 0 x) (#s(alt (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (patch (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) (taylor 0 x) (#s(alt (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (patch (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) (taylor 0 x) (#s(alt (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (patch (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) (taylor 0 x) (#s(alt (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (patch (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor 0 x) (#s(alt (-.f64 (exp.f64 x) #s(literal 2 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- x 1) (taylor 0 x) (#s(alt (-.f64 (exp.f64 x) #s(literal 2 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (+ 1 (* 1/2 x))) 1) (taylor 0 x) (#s(alt (-.f64 (exp.f64 x) #s(literal 2 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1) (taylor 0 x) (#s(alt (-.f64 (exp.f64 x) #s(literal 2 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 2 binary64)) #<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 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 x) (exp (neg x))) 2) (taylor inf x) (#s(alt (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (patch (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (exp x) (exp (neg x))) 2) (taylor inf x) (#s(alt (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (patch (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (exp x) (exp (neg x))) 2) (taylor inf x) (#s(alt (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (patch (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (exp x) (exp (neg x))) 2) (taylor inf x) (#s(alt (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (patch (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (- (exp x) 2) (taylor inf x) (#s(alt (-.f64 (exp.f64 x) #s(literal 2 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (exp x) 2) (taylor inf x) (#s(alt (-.f64 (exp.f64 x) #s(literal 2 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (exp x) 2) (taylor inf x) (#s(alt (-.f64 (exp.f64 x) #s(literal 2 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (exp x) 2) (taylor inf x) (#s(alt (-.f64 (exp.f64 x) #s(literal 2 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 2 binary64)) #<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 (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 x) (exp (* -1 x))) 2) (taylor -inf x) (#s(alt (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (patch (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (exp x) (exp (* -1 x))) 2) (taylor -inf x) (#s(alt (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (patch (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (exp x) (exp (* -1 x))) 2) (taylor -inf x) (#s(alt (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (patch (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (exp x) (exp (* -1 x))) 2) (taylor -inf x) (#s(alt (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (patch (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (- (exp x) 2) (taylor -inf x) (#s(alt (-.f64 (exp.f64 x) #s(literal 2 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (exp x) 2) (taylor -inf x) (#s(alt (-.f64 (exp.f64 x) #s(literal 2 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (exp x) 2) (taylor -inf x) (#s(alt (-.f64 (exp.f64 x) #s(literal 2 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (exp x) 2) (taylor -inf x) (#s(alt (-.f64 (exp.f64 x) #s(literal 2 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 2 binary64)) #<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 (* -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>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | ((+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) (exp x) (exp (neg x))) |
| 0.0ms | x | @ | inf | ((+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) (exp x) (exp (neg x))) |
| 0.0ms | x | @ | -inf | ((+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) (exp x) (exp (neg x))) |
| 1× | egg-herbie |
| 17 068× | lower-fma.f64 |
| 17 068× | lower-fma.f32 |
| 3 466× | lower-+.f64 |
| 3 466× | lower-+.f32 |
| 3 160× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 269 |
| 1 | 168 | 268 |
| 2 | 397 | 262 |
| 3 | 1060 | 262 |
| 4 | 1759 | 262 |
| 5 | 3027 | 262 |
| 6 | 3849 | 262 |
| 7 | 5284 | 262 |
| 8 | 6683 | 262 |
| 0 | 8227 | 241 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
-1 |
(- x 1) |
(- (* x (+ 1 (* 1/2 x))) 1) |
(- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) |
(- (+ (exp x) (exp (neg x))) 2) |
(- (+ (exp x) (exp (neg x))) 2) |
(- (+ (exp x) (exp (neg x))) 2) |
(- (+ (exp x) (exp (neg x))) 2) |
(- (exp x) 2) |
(- (exp x) 2) |
(- (exp x) 2) |
(- (exp x) 2) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp (neg x)) |
(exp (neg x)) |
(exp (neg x)) |
(exp (neg x)) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(- (exp x) 2) |
(- (exp x) 2) |
(- (exp x) 2) |
(- (exp x) 2) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp (* -1 x)) |
(exp (* -1 x)) |
(exp (* -1 x)) |
(exp (* -1 x)) |
| Outputs |
|---|
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))) |
-1 |
#s(literal -1 binary64) |
(- x 1) |
(-.f64 x #s(literal 1 binary64)) |
(- (* x (+ 1 (* 1/2 x))) 1) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal -1 binary64)) |
(- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal -1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(-.f64 x #s(literal -1 binary64)) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(- (+ (exp x) (exp (neg x))) 2) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64)) |
(- (+ (exp x) (exp (neg x))) 2) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64)) |
(- (+ (exp x) (exp (neg x))) 2) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64)) |
(- (+ (exp x) (exp (neg x))) 2) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64)) |
(- (exp x) 2) |
(-.f64 (exp.f64 x) #s(literal 2 binary64)) |
(- (exp x) 2) |
(-.f64 (exp.f64 x) #s(literal 2 binary64)) |
(- (exp x) 2) |
(-.f64 (exp.f64 x) #s(literal 2 binary64)) |
(- (exp x) 2) |
(-.f64 (exp.f64 x) #s(literal 2 binary64)) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.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 (neg x)) |
(exp.f64 (neg.f64 x)) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64)) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64)) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64)) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64)) |
(- (exp x) 2) |
(-.f64 (exp.f64 x) #s(literal 2 binary64)) |
(- (exp x) 2) |
(-.f64 (exp.f64 x) #s(literal 2 binary64)) |
(- (exp x) 2) |
(-.f64 (exp.f64 x) #s(literal 2 binary64)) |
(- (exp x) 2) |
(-.f64 (exp.f64 x) #s(literal 2 binary64)) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.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)) |
| 3 586× | lower-*.f64 |
| 3 586× | lower-*.f32 |
| 3 204× | lower-/.f64 |
| 3 204× | lower-/.f32 |
| 2 998× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 17 |
| 0 | 12 | 17 |
| 1 | 51 | 17 |
| 2 | 394 | 17 |
| 3 | 6866 | 15 |
| 0 | 8047 | 14 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
(-.f64 (exp.f64 x) #s(literal 2 binary64)) |
(exp.f64 x) |
(exp.f64 (neg.f64 x)) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal -3 binary64)))) (fma.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (fma.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -4 binary64)) (exp.f64 x) (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -2 binary64)))) (*.f64 (-.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 x))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (-.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) (exp.f64 x)) (fma.f64 (-.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 x) #s(literal 4 binary64)))) (*.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 x) #s(literal 4 binary64)) (exp.f64 x))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))) (exp.f64 x)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))) (exp.f64 x)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))) (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 6 binary64)))) (fma.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))) (exp.f64 x)) (-.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))) (exp.f64 x)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))) |
(*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))) (pow.f64 (-.f64 (-.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 (neg.f64 x))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -1 binary64)) (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)))) |
(*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (-.f64 (-.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 (neg.f64 x))) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) (pow.f64 (neg.f64 (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -4 binary64)) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -2 binary64))) (pow.f64 (*.f64 (-.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 x)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) (exp.f64 x) (fma.f64 (-.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 x) #s(literal 4 binary64))) (pow.f64 (*.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 x) #s(literal 4 binary64)) (exp.f64 x)) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (pow.f64 (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)) (fma.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (pow.f64 (exp.f64 x) #s(literal -2 binary64))))) |
(*.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)) (pow.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))) |
(*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)) (/.f64 (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))) |
(*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)) (*.f64 (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (pow.f64 (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -1 binary64)))) |
(pow.f64 (/.f64 (-.f64 (-.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 (neg.f64 x))) (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (-.f64 (-.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 (neg.f64 x))) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (-.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 x)) (fma.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -4 binary64)) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 x) #s(literal 4 binary64)) (exp.f64 x)) (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) (exp.f64 x) (fma.f64 (-.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 x) #s(literal 4 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (/.f64 (fma.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -4 binary64)) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -2 binary64))) (exp.f64 x)) (-.f64 (exp.f64 x) #s(literal -2 binary64))) |
(/.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) (exp.f64 x) (fma.f64 (-.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 x) #s(literal 4 binary64))) (exp.f64 x)) (fma.f64 (-.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 x) #s(literal 4 binary64))) |
(/.f64 (/.f64 (fma.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -4 binary64)) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -2 binary64))) (-.f64 (exp.f64 x) #s(literal -2 binary64))) (exp.f64 x)) |
(/.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) (exp.f64 x) (fma.f64 (-.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 x) #s(literal 4 binary64))) (fma.f64 (-.f64 (exp.f64 x) #s(literal -2 binary64)) (exp.f64 x) #s(literal 4 binary64))) (exp.f64 x)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 4 binary64))) (pow.f64 (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -1 binary64))) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 6 binary64))) (pow.f64 (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -1 binary64))) (fma.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 6 binary64))) (pow.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64))) (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal -3 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 9 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 9 binary64))) (pow.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64))) (fma.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (-.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 6 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))))) (+.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal 2 binary64))) |
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(pow.f64 (neg.f64 (neg.f64 (exp.f64 x))) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) x) |
(pow.f64 (exp.f64 x) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 x)))) |
(/.f64 #s(literal 1 binary64) (exp.f64 x)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) x)) |
(exp.f64 (neg.f64 x)) |
Compiled 6 709 to 794 computations (88.2% saved)
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 285 | 8 | 293 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 285 | 9 | 294 |
| Status | Accuracy | Program |
|---|---|---|
| 52.0% | (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)) | |
| ▶ | 52.0% | (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))))) |
| ▶ | 52.1% | (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 x))) |
| 52.1% | (-.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))) | |
| ✓ | 52.1% | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
| ▶ | 98.9% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))) |
| 98.6% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))) | |
| ▶ | 98.0% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))) |
| ▶ | 97.1% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) |
Compiled 196 to 139 computations (29.1% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 128 | (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))) | |
| cost-diff | 128 | (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64)) | |
| cost-diff | 320 | (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) | |
| cost-diff | 7040 | (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) (exp.f64 x)) | |
| cost-diff | 0 | (exp.f64 x) | |
| cost-diff | 0 | (-.f64 (exp.f64 x) #s(literal 2 binary64)) | |
| cost-diff | 7104 | (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 x))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (pow.f64 x #s(literal 4 binary64)) | |
| cost-diff | 0 | (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)) | |
| cost-diff | 0 | #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) | |
| cost-diff | 0 | (pow.f64 x #s(literal 6 binary64)) | |
| cost-diff | 0 | #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))) |
| 4 620× | lower-fma.f32 |
| 4 612× | lower-fma.f64 |
| 3 714× | lower-*.f32 |
| 3 708× | lower-*.f64 |
| 1 932× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 228 |
| 0 | 58 | 226 |
| 1 | 115 | 217 |
| 2 | 242 | 211 |
| 3 | 612 | 203 |
| 4 | 2094 | 201 |
| 0 | 8031 | 192 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))) |
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))) |
(pow.f64 x #s(literal 6 binary64)) |
x |
#s(literal 6 binary64) |
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) |
#s(literal 1/20160 binary64) |
(*.f64 x x) |
#s(literal 1/360 binary64) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)) |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(literal 1/12 binary64) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) |
(*.f64 x x) |
x |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)) |
(pow.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
#s(literal 1/12 binary64) |
(*.f64 x x) |
(-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 x))) |
(-.f64 (exp.f64 x) #s(literal 2 binary64)) |
(exp.f64 x) |
x |
#s(literal 2 binary64) |
(/.f64 #s(literal -1 binary64) (exp.f64 x)) |
#s(literal -1 binary64) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))))) |
(-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64)) |
(pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) |
(*.f64 #s(literal 2 binary64) (cosh.f64 x)) |
#s(literal 2 binary64) |
(cosh.f64 x) |
x |
#s(literal 3 binary64) |
#s(literal 8 binary64) |
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))) |
(+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))) |
#s(literal 4 binary64) |
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) |
| Outputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (fma.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/20160 binary64) x) x (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)))))) |
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))) |
(fma.f64 (fma.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/20160 binary64) x) x (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64))))) |
(pow.f64 x #s(literal 6 binary64)) |
x |
#s(literal 6 binary64) |
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) |
#s(literal 1/20160 binary64) |
(*.f64 x x) |
#s(literal 1/360 binary64) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)) |
(fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)) |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(literal 1/12 binary64) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) |
(*.f64 x x) |
x |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)) |
(fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)) |
(pow.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
#s(literal 1/12 binary64) |
(*.f64 x x) |
(-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 x))) |
(fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) |
(-.f64 (exp.f64 x) #s(literal 2 binary64)) |
(exp.f64 x) |
x |
#s(literal 2 binary64) |
(/.f64 #s(literal -1 binary64) (exp.f64 x)) |
#s(literal -1 binary64) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))))) |
(*.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 x)) (cosh.f64 x) #s(literal 1 binary64)))) |
(-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64)) |
(fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) |
(pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) |
(*.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) |
(*.f64 #s(literal 2 binary64) (cosh.f64 x)) |
(*.f64 (cosh.f64 x) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(cosh.f64 x) |
x |
#s(literal 3 binary64) |
#s(literal 8 binary64) |
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))) |
(fma.f64 (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64)) (cosh.f64 x) #s(literal 4 binary64)) |
(+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))) |
(fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) |
(*.f64 (cosh.f64 x) #s(literal 4 binary64)) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.01171875 | (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))) | |
| accuracy | 0.03191376953688403 | (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) | |
| accuracy | 0.14453125 | (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))))) | |
| accuracy | 30.800214270233386 | (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64)) | |
| accuracy | 0 | (exp.f64 x) | |
| accuracy | 0.03515625 | (/.f64 #s(literal -1 binary64) (exp.f64 x)) | |
| accuracy | 0.03515625 | (-.f64 (exp.f64 x) #s(literal 2 binary64)) | |
| accuracy | 30.630022483649505 | (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 x))) | |
| accuracy | 0 | (pow.f64 x #s(literal 4 binary64)) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.01953125 | (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)) | |
| accuracy | 1.3052504285448372 | #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 1.8372035425200017 | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) | |
| accuracy | 0.0078125 | (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) | |
| accuracy | 0.01171875 | (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))) | |
| accuracy | 0.01953125 | (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)) | |
| accuracy | 0.7143140527415356 | #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))) |
| 354.0ms | 170× | 2 | valid |
| 43.0ms | 75× | 1 | valid |
| 3.0ms | 11× | 0 | valid |
Compiled 206 to 37 computations (82% saved)
ival-cosh: 80.0ms (28.4% of total)adjust: 58.0ms (20.6% of total)ival-exp: 54.0ms (19.2% of total)ival-mult: 21.0ms (7.5% of total)ival-pow: 16.0ms (5.7% of total)ival-add: 15.0ms (5.3% of total)const: 13.0ms (4.6% of total)ival-sub: 12.0ms (4.3% of total)ival-div: 9.0ms (3.2% of total)exact: 1.0ms (0.4% of total)ival-neg: 1.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))) #<representation binary64>) () ()) |
#s(alt (pow.f64 x #s(literal 6 binary64)) (patch (pow.f64 x #s(literal 6 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (patch (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)) (patch (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (patch (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 x))) #<representation binary64>) () ()) |
#s(alt (-.f64 (exp.f64 x) #s(literal 2 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) (exp.f64 x)) (patch (/.f64 #s(literal -1 binary64) (exp.f64 x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))) (patch (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) (patch (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64)) (patch (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64)) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))) (patch (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))) (patch (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))))) (patch (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) (patch (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (pow x 2) (taylor 0 x) (#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) (taylor 0 x) (#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) (taylor 0 x) (#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 6) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 6 binary64)) (patch (pow.f64 x #s(literal 6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 6) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 6 binary64)) (patch (pow.f64 x #s(literal 6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 6) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 6 binary64)) (patch (pow.f64 x #s(literal 6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 6) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 6 binary64)) (patch (pow.f64 x #s(literal 6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 1/360 (taylor 0 x) (#s(alt (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (patch (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/360 (* 1/20160 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (patch (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/360 (* 1/20160 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (patch (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/360 (* 1/20160 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (patch (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) (taylor 0 x) (#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) (taylor 0 x) (#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) (taylor 0 x) (#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) (taylor 0 x) (#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)) (patch (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)) (patch (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)) (patch (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)) (patch (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 4) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (patch (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) (taylor 0 x) (#s(alt (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (patch (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) (taylor 0 x) (#s(alt (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (patch (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) (taylor 0 x) (#s(alt (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (patch (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor 0 x) (#s(alt (-.f64 (exp.f64 x) #s(literal 2 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- x 1) (taylor 0 x) (#s(alt (-.f64 (exp.f64 x) #s(literal 2 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (+ 1 (* 1/2 x))) 1) (taylor 0 x) (#s(alt (-.f64 (exp.f64 x) #s(literal 2 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1) (taylor 0 x) (#s(alt (-.f64 (exp.f64 x) #s(literal 2 binary64)) (patch (-.f64 (exp.f64 x) #s(literal 2 binary64)) #<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 -1 (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (exp.f64 x)) (patch (/.f64 #s(literal -1 binary64) (exp.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- x 1) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (exp.f64 x)) (patch (/.f64 #s(literal -1 binary64) (exp.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (+ 1 (* -1/2 x))) 1) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (exp.f64 x)) (patch (/.f64 #s(literal -1 binary64) (exp.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (+ 1 (* x (- (* 1/6 x) 1/2)))) 1) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (exp.f64 x)) (patch (/.f64 #s(literal -1 binary64) (exp.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt 12 (taylor 0 x) (#s(alt (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))) (patch (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 12 (* 6 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))) (patch (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 12 (* (pow x 2) (+ 6 (* 3/2 (pow x 2))))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))) (patch (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 12 (* (pow x 2) (+ 6 (* (pow x 2) (+ 3/2 (* 11/60 (pow x 2))))))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))) (patch (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt 4 (taylor 0 x) (#s(alt (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) (patch (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 4 (* 2 (pow x 2))) (taylor 0 x) (#s(alt (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) (patch (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 4 (* (pow x 2) (+ 2 (* 1/6 (pow x 2))))) (taylor 0 x) (#s(alt (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) (patch (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 4 (* (pow x 2) (+ 2 (* (pow x 2) (+ 1/6 (* 1/180 (pow x 2))))))) (taylor 0 x) (#s(alt (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) (patch (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 12 (pow x 2)) (taylor 0 x) (#s(alt (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64)) (patch (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 12 (* 7 (pow x 2)))) (taylor 0 x) (#s(alt (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64)) (patch (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 12 (* (pow x 2) (+ 7 (* 61/30 (pow x 2)))))) (taylor 0 x) (#s(alt (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64)) (patch (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 12 (* (pow x 2) (+ 7 (* (pow x 2) (+ 61/30 (* 547/1680 (pow x 2)))))))) (taylor 0 x) (#s(alt (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64)) (patch (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 8 (taylor 0 x) (#s(alt (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))) (patch (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
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3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | x | @ | inf | ((+ (- (exp x) 2) (exp (neg x))) (pow x 6) (+ (* 1/20160 (* x x)) 1/360) (* x x) (+ (- (exp x) 2) (exp (neg x))) (+ (- (exp x) 2) (exp (neg x))) (+ (* (pow x 4) 1/12) (* x x)) (pow x 4) (- (- (exp x) 2) (/ -1 (exp x))) (- (exp x) 2) (exp x) (/ -1 (exp x)) (+ (* (* 2 (cosh x)) (* 2 (cosh x))) (+ 4 (* (* 2 (cosh x)) 2))) (* (* 2 (cosh x)) 2) (- (pow (* 2 (cosh x)) 3) 8) (+ 4 (* (* 2 (cosh x)) 2)) (+ (* (pow x 6) (+ (* 1/20160 (* x x)) 1/360)) (+ (* (pow x 4) 1/12) (* x x))) (/ (- (pow (* 2 (cosh x)) 3) 8) (+ (* (* 2 (cosh x)) (* 2 (cosh x))) (+ 4 (* (* 2 (cosh x)) 2)))) (pow (* 2 (cosh x)) 3)) |
| 5.0ms | x | @ | -inf | ((+ (- (exp x) 2) (exp (neg x))) (pow x 6) (+ (* 1/20160 (* x x)) 1/360) (* x x) (+ (- (exp x) 2) (exp (neg x))) (+ (- (exp x) 2) (exp (neg x))) (+ (* (pow x 4) 1/12) (* x x)) (pow x 4) (- (- (exp x) 2) (/ -1 (exp x))) (- (exp x) 2) (exp x) (/ -1 (exp x)) (+ (* (* 2 (cosh x)) (* 2 (cosh x))) (+ 4 (* (* 2 (cosh x)) 2))) (* (* 2 (cosh x)) 2) (- (pow (* 2 (cosh x)) 3) 8) (+ 4 (* (* 2 (cosh x)) 2)) (+ (* (pow x 6) (+ (* 1/20160 (* x x)) 1/360)) (+ (* (pow x 4) 1/12) (* x x))) (/ (- (pow (* 2 (cosh x)) 3) 8) (+ (* (* 2 (cosh x)) (* 2 (cosh x))) (+ 4 (* (* 2 (cosh x)) 2)))) (pow (* 2 (cosh x)) 3)) |
| 3.0ms | x | @ | 0 | ((+ (- (exp x) 2) (exp (neg x))) (pow x 6) (+ (* 1/20160 (* x x)) 1/360) (* x x) (+ (- (exp x) 2) (exp (neg x))) (+ (- (exp x) 2) (exp (neg x))) (+ (* (pow x 4) 1/12) (* x x)) (pow x 4) (- (- (exp x) 2) (/ -1 (exp x))) (- (exp x) 2) (exp x) (/ -1 (exp x)) (+ (* (* 2 (cosh x)) (* 2 (cosh x))) (+ 4 (* (* 2 (cosh x)) 2))) (* (* 2 (cosh x)) 2) (- (pow (* 2 (cosh x)) 3) 8) (+ 4 (* (* 2 (cosh x)) 2)) (+ (* (pow x 6) (+ (* 1/20160 (* x x)) 1/360)) (+ (* (pow x 4) 1/12) (* x x))) (/ (- (pow (* 2 (cosh x)) 3) 8) (+ (* (* 2 (cosh x)) (* 2 (cosh x))) (+ 4 (* (* 2 (cosh x)) 2)))) (pow (* 2 (cosh x)) 3)) |
| 1× | egg-herbie |
| 22 710× | lower-fma.f64 |
| 22 710× | lower-fma.f32 |
| 4 424× | lower-+.f64 |
| 4 424× | lower-+.f32 |
| 4 358× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 149 | 2040 |
| 1 | 432 | 2008 |
| 2 | 1135 | 1954 |
| 3 | 3204 | 1954 |
| 4 | 5494 | 1954 |
| 5 | 6868 | 1954 |
| 0 | 8352 | 1821 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(pow x 6) |
(pow x 6) |
(pow x 6) |
(pow x 6) |
1/360 |
(+ 1/360 (* 1/20160 (pow x 2))) |
(+ 1/360 (* 1/20160 (pow x 2))) |
(+ 1/360 (* 1/20160 (pow x 2))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
-1 |
(- x 1) |
(- (* x (+ 1 (* 1/2 x))) 1) |
(- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
-1 |
(- x 1) |
(- (* x (+ 1 (* -1/2 x))) 1) |
(- (* x (+ 1 (* x (- (* 1/6 x) 1/2)))) 1) |
12 |
(+ 12 (* 6 (pow x 2))) |
(+ 12 (* (pow x 2) (+ 6 (* 3/2 (pow x 2))))) |
(+ 12 (* (pow x 2) (+ 6 (* (pow x 2) (+ 3/2 (* 11/60 (pow x 2))))))) |
4 |
(+ 4 (* 2 (pow x 2))) |
(+ 4 (* (pow x 2) (+ 2 (* 1/6 (pow x 2))))) |
(+ 4 (* (pow x 2) (+ 2 (* (pow x 2) (+ 1/6 (* 1/180 (pow x 2))))))) |
(* 12 (pow x 2)) |
(* (pow x 2) (+ 12 (* 7 (pow x 2)))) |
(* (pow x 2) (+ 12 (* (pow x 2) (+ 7 (* 61/30 (pow x 2)))))) |
(* (pow x 2) (+ 12 (* (pow x 2) (+ 7 (* (pow x 2) (+ 61/30 (* 547/1680 (pow x 2)))))))) |
8 |
(+ 8 (* 2 (pow x 2))) |
(+ 8 (* (pow x 2) (+ 2 (* 1/6 (pow x 2))))) |
(+ 8 (* (pow x 2) (+ 2 (* (pow x 2) (+ 1/6 (* 1/180 (pow x 2))))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
8 |
(+ 8 (* 12 (pow x 2))) |
(+ 8 (* (pow x 2) (+ 12 (* 7 (pow x 2))))) |
(+ 8 (* (pow x 2) (+ 12 (* (pow x 2) (+ 7 (* 61/30 (pow x 2))))))) |
(- (+ (exp x) (exp (neg x))) 2) |
(- (+ (exp x) (exp (neg x))) 2) |
(- (+ (exp x) (exp (neg x))) 2) |
(- (+ (exp x) (exp (neg x))) 2) |
(pow x 6) |
(pow x 6) |
(pow x 6) |
(pow x 6) |
(* 1/20160 (pow x 2)) |
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(- (+ (exp x) (exp (neg x))) 2) |
(- (+ (exp x) (exp (neg x))) 2) |
(- (+ (exp x) (exp (neg x))) 2) |
(- (+ (exp x) (exp (neg x))) 2) |
(- (+ (exp x) (exp (neg x))) 2) |
(- (+ (exp x) (exp (neg x))) 2) |
(- (+ (exp x) (exp (neg x))) 2) |
(- (+ (exp x) (exp (neg x))) 2) |
(* 1/12 (pow x 4)) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
(- (exp x) 2) |
(- (exp x) 2) |
(- (exp x) 2) |
(- (exp x) 2) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(/ -1 (exp x)) |
(/ -1 (exp x)) |
(/ -1 (exp x)) |
(/ -1 (exp x)) |
(+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2))) |
(+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2))) |
(+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2))) |
(+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2))) |
(* 2 (+ (exp x) (/ 1 (exp x)))) |
(* 2 (+ (exp x) (/ 1 (exp x)))) |
(* 2 (+ (exp x) (/ 1 (exp x)))) |
(* 2 (+ (exp x) (/ 1 (exp x)))) |
(- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) |
(- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) |
(- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) |
(- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) |
(+ 4 (* 2 (+ (exp x) (/ 1 (exp x))))) |
(+ 4 (* 2 (+ (exp x) (/ 1 (exp x))))) |
(+ 4 (* 2 (+ (exp x) (/ 1 (exp x))))) |
(+ 4 (* 2 (+ (exp x) (/ 1 (exp x))))) |
(* 1/20160 (pow x 8)) |
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(/ (- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2)))) |
(/ (- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2)))) |
(/ (- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2)))) |
(/ (- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2)))) |
(pow (+ (exp x) (/ 1 (exp x))) 3) |
(pow (+ (exp x) (/ 1 (exp x))) 3) |
(pow (+ (exp x) (/ 1 (exp x))) 3) |
(pow (+ (exp x) (/ 1 (exp x))) 3) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(pow x 6) |
(pow x 6) |
(pow x 6) |
(pow x 6) |
(* 1/20160 (pow x 2)) |
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(* 1/12 (pow x 4)) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
(- (exp x) 2) |
(- (exp x) 2) |
(- (exp x) 2) |
(- (exp x) 2) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(/ -1 (exp x)) |
(/ -1 (exp x)) |
(/ -1 (exp x)) |
(/ -1 (exp x)) |
(+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2))) |
(+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2))) |
(+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2))) |
(+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2))) |
(* 2 (+ (exp x) (/ 1 (exp x)))) |
(* 2 (+ (exp x) (/ 1 (exp x)))) |
(* 2 (+ (exp x) (/ 1 (exp x)))) |
(* 2 (+ (exp x) (/ 1 (exp x)))) |
(- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) |
(- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) |
(- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) |
(- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) |
(+ 4 (* 2 (+ (exp x) (/ 1 (exp x))))) |
(+ 4 (* 2 (+ (exp x) (/ 1 (exp x))))) |
(+ 4 (* 2 (+ (exp x) (/ 1 (exp x))))) |
(+ 4 (* 2 (+ (exp x) (/ 1 (exp x))))) |
(* 1/20160 (pow x 8)) |
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(/ (- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2)))) |
(/ (- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2)))) |
(/ (- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2)))) |
(/ (- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2)))) |
(pow (+ (exp x) (/ 1 (exp x))) 3) |
(pow (+ (exp x) (/ 1 (exp x))) 3) |
(pow (+ (exp x) (/ 1 (exp x))) 3) |
(pow (+ (exp x) (/ 1 (exp x))) 3) |
| Outputs |
|---|
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))) |
(pow x 6) |
(pow.f64 x #s(literal 6 binary64)) |
(pow x 6) |
(pow.f64 x #s(literal 6 binary64)) |
(pow x 6) |
(pow.f64 x #s(literal 6 binary64)) |
(pow x 6) |
(pow.f64 x #s(literal 6 binary64)) |
1/360 |
#s(literal 1/360 binary64) |
(+ 1/360 (* 1/20160 (pow x 2))) |
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) |
(+ 1/360 (* 1/20160 (pow x 2))) |
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) |
(+ 1/360 (* 1/20160 (pow x 2))) |
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 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) (+ 1 (* 1/12 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))) |
-1 |
#s(literal -1 binary64) |
(- x 1) |
(-.f64 x #s(literal 1 binary64)) |
(- (* x (+ 1 (* 1/2 x))) 1) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal -1 binary64)) |
(- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal -1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- x 1) |
(-.f64 x #s(literal 1 binary64)) |
(- (* x (+ 1 (* -1/2 x))) 1) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x #s(literal -1 binary64)) |
(- (* x (+ 1 (* x (- (* 1/6 x) 1/2)))) 1) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x #s(literal -1 binary64)) |
12 |
#s(literal 12 binary64) |
(+ 12 (* 6 (pow x 2))) |
(fma.f64 #s(literal 6 binary64) (*.f64 x x) #s(literal 12 binary64)) |
(+ 12 (* (pow x 2) (+ 6 (* 3/2 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 3/2 binary64) (*.f64 x x) #s(literal 6 binary64)) (*.f64 x x) #s(literal 12 binary64)) |
(+ 12 (* (pow x 2) (+ 6 (* (pow x 2) (+ 3/2 (* 11/60 (pow x 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 11/60 binary64) (*.f64 x x) #s(literal 3/2 binary64)) (*.f64 x x) #s(literal 6 binary64)) (*.f64 x x) #s(literal 12 binary64)) |
4 |
#s(literal 4 binary64) |
(+ 4 (* 2 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 4 binary64)) |
(+ 4 (* (pow x 2) (+ 2 (* 1/6 (pow x 2))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 2 binary64)) (*.f64 x x) #s(literal 4 binary64)) |
(+ 4 (* (pow x 2) (+ 2 (* (pow x 2) (+ 1/6 (* 1/180 (pow x 2))))))) |
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(+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2))) |
(fma.f64 (+.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 4 binary64)) |
(+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2))) |
(fma.f64 (+.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 4 binary64)) |
(+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2))) |
(fma.f64 (+.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 4 binary64)) |
(+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2))) |
(fma.f64 (+.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 4 binary64)) |
(* 2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64)) |
(* 2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64)) |
(* 2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64)) |
(* 2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64)) |
(- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) |
(-.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64)) |
(- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) |
(-.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64)) |
(- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) |
(-.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64)) |
(- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) |
(-.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64)) |
(+ 4 (* 2 (+ (exp x) (/ 1 (exp x))))) |
(fma.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64) #s(literal 4 binary64)) |
(+ 4 (* 2 (+ (exp x) (/ 1 (exp x))))) |
(fma.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64) #s(literal 4 binary64)) |
(+ 4 (* 2 (+ (exp x) (/ 1 (exp x))))) |
(fma.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64) #s(literal 4 binary64)) |
(+ 4 (* 2 (+ (exp x) (/ 1 (exp x))))) |
(fma.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64) #s(literal 4 binary64)) |
(* 1/20160 (pow x 8)) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64)) |
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/20160 binary64))))) |
(/ (- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2)))) |
(/.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (+.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 4 binary64))) |
(/ (- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2)))) |
(/.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (+.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 4 binary64))) |
(/ (- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2)))) |
(/.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (+.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 4 binary64))) |
(/ (- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2)))) |
(/.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (+.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 4 binary64))) |
(pow (+ (exp x) (/ 1 (exp x))) 3) |
(pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64)) |
(pow (+ (exp x) (/ 1 (exp x))) 3) |
(pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64)) |
(pow (+ (exp x) (/ 1 (exp x))) 3) |
(pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64)) |
(pow (+ (exp x) (/ 1 (exp x))) 3) |
(pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64)) |
| 4 968× | lower-*.f32 |
| 4 962× | lower-*.f64 |
| 3 804× | lower-/.f32 |
| 3 800× | lower-/.f64 |
| 2 420× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 187 |
| 0 | 58 | 183 |
| 1 | 257 | 166 |
| 2 | 2057 | 166 |
| 0 | 8298 | 155 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))) |
(pow.f64 x #s(literal 6 binary64)) |
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) |
(*.f64 x x) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)) |
(pow.f64 x #s(literal 4 binary64)) |
(-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 x))) |
(-.f64 (exp.f64 x) #s(literal 2 binary64)) |
(exp.f64 x) |
(/.f64 #s(literal -1 binary64) (exp.f64 x)) |
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) |
(-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64)) |
(+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))) |
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))))) |
(pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) |
| Outputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 x x) (pow.f64 x #s(literal 4 binary64))) |
(pow.f64 (exp.f64 #s(literal 6 binary64)) (log.f64 x)) |
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3/2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 3 binary64)) |
(pow.f64 x #s(literal 6 binary64)) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal 3 binary64) (*.f64 (log.f64 x) #s(literal 3 binary64)))) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal 4 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 4 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 6 binary64))) |
(*.f64 (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/129600 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal -1/360 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/8193540096000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/46656000 binary64)) (pow.f64 (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) #s(literal 1/7257600 binary64)))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal -1/360 binary64)) (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/129600 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) #s(literal 1/7257600 binary64)))) (fma.f64 #s(literal 1/8193540096000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/46656000 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/129600 binary64) (*.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/129600 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal -1/360 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/8193540096000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/46656000 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) #s(literal 1/7257600 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal -1/360 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal -1/360 binary64)) #s(literal 1/129600 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal -1/360 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal -1/360 binary64)))) |
(/.f64 (-.f64 #s(literal 1/129600 binary64) (*.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/129600 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal -1/360 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8193540096000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/46656000 binary64))) (neg.f64 (+.f64 #s(literal 1/129600 binary64) (-.f64 (*.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 1/7257600 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8193540096000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/46656000 binary64))) (neg.f64 (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) #s(literal 1/7257600 binary64)))))) |
(/.f64 (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/129600 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal -1/360 binary64))) |
(/.f64 (fma.f64 #s(literal 1/8193540096000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/46656000 binary64)) (+.f64 #s(literal 1/129600 binary64) (-.f64 (*.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 1/7257600 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/8193540096000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/46656000 binary64)) (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) #s(literal 1/7257600 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal -1/360 binary64)) (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/129600 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) #s(literal 1/7257600 binary64)))) (fma.f64 #s(literal 1/8193540096000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/46656000 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal -1/360 binary64)) (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/129600 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) #s(literal 1/7257600 binary64)))) (fma.f64 #s(literal 1/8193540096000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/46656000 binary64))))) |
(fma.f64 (*.f64 #s(literal 1/20160 binary64) x) x #s(literal 1/360 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) |
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) |
(fma.f64 x (*.f64 #s(literal 1/20160 binary64) x) #s(literal 1/360 binary64)) |
(-.f64 (/.f64 (*.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal -1/360 binary64))) (/.f64 #s(literal 1/129600 binary64) (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal -1/360 binary64)))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)) |
(+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))) |
(*.f64 x x) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (neg.f64 x) x)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/1728 binary64) (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 6 binary64))))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 #s(literal 1/1728 binary64) (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64))))) (neg.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))))) |
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(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 3/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (log.f64 (pow.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)))) |
Compiled 21 817 to 2 056 computations (90.6% saved)
11 alts after pruning (9 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 850 | 9 | 859 |
| Fresh | 3 | 0 | 3 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 857 | 11 | 868 |
| Status | Accuracy | Program |
|---|---|---|
| 52.0% | (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) | |
| 8.1% | (/.f64 (fma.f64 (pow.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) #s(literal -8 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))))) | |
| 52.0% | (/.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64)))) | |
| ✓ | 52.1% | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
| ▶ | 52.0% | (*.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) (pow.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))) |
| 98.9% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/12 binary64) (*.f64 x x)))) | |
| ▶ | 98.9% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))))) |
| ▶ | 98.0% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))) |
| ▶ | 98.9% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))))) |
| ▶ | 98.0% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))) |
| ✓ | 97.1% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) |
Compiled 330 to 216 computations (34.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) | |
| cost-diff | 320 | (*.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) (pow.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))) | |
| cost-diff | 5952 | (pow.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)) | |
| cost-diff | 6464 | (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) | |
| cost-diff | 0 | (pow.f64 x #s(literal 6 binary64)) | |
| cost-diff | 0 | #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))))) | |
| cost-diff | 0 | (pow.f64 x #s(literal 4 binary64)) | |
| cost-diff | 0 | (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))) | |
| cost-diff | 0 | (fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))) | |
| cost-diff | 0 | #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))) | |
| cost-diff | -5504 | (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) | |
| cost-diff | 0 | (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))) | |
| cost-diff | 0 | (pow.f64 x #s(literal 8 binary64)) | |
| cost-diff | 0 | (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))) | |
| cost-diff | 0 | (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))))) | |
| cost-diff | 0 | #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))))) |
| 7 124× | lower-fma.f32 |
| 7 104× | lower-fma.f64 |
| 4 028× | lower-*.f32 |
| 4 020× | lower-*.f64 |
| 2 708× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 323 |
| 0 | 70 | 335 |
| 1 | 131 | 330 |
| 2 | 278 | 314 |
| 3 | 578 | 309 |
| 4 | 1273 | 309 |
| 5 | 4446 | 301 |
| 6 | 7398 | 301 |
| 0 | 8347 | 293 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))))) |
(fma.f64 x x (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))))) |
x |
(fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(pow.f64 x #s(literal 8 binary64)) |
#s(literal 8 binary64) |
#s(literal 1/20160 binary64) |
(fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))) |
#s(literal 1/360 binary64) |
(pow.f64 x #s(literal 6 binary64)) |
#s(literal 6 binary64) |
(*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))) |
#s(literal 1/12 binary64) |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) |
(*.f64 x x) |
x |
(*.f64 (*.f64 x x) #s(literal 1/12 binary64)) |
#s(literal 1/12 binary64) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))) |
x |
(*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))) |
#s(literal 1/12 binary64) |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))))) |
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(pow.f64 x #s(literal 6 binary64)) |
x |
#s(literal 6 binary64) |
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) |
#s(literal 1/20160 binary64) |
(*.f64 x x) |
#s(literal 1/360 binary64) |
(fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))) |
#s(literal 1/12 binary64) |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(*.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) (pow.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))) |
(fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) |
(pow.f64 (cosh.f64 x) #s(literal 3 binary64)) |
(cosh.f64 x) |
x |
#s(literal 3 binary64) |
#s(literal 8 binary64) |
#s(literal -8 binary64) |
(pow.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64))) |
(pow.f64 (cosh.f64 x) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(literal 4 binary64) |
(fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64)) |
#s(literal -1 binary64) |
| Outputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (fma.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/20160 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))))) |
(fma.f64 x x (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))))) |
(fma.f64 (fma.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/20160 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64)))) |
x |
(fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64)))) |
(pow.f64 x #s(literal 8 binary64)) |
#s(literal 8 binary64) |
#s(literal 1/20160 binary64) |
(fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))) |
#s(literal 1/360 binary64) |
(pow.f64 x #s(literal 6 binary64)) |
#s(literal 6 binary64) |
(*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)) |
#s(literal 1/12 binary64) |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)) |
(*.f64 x x) |
x |
(*.f64 (*.f64 x x) #s(literal 1/12 binary64)) |
#s(literal 1/12 binary64) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))) |
(fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)) |
x |
(*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)) |
#s(literal 1/12 binary64) |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (fma.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/20160 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))))) |
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(fma.f64 (fma.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/20160 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64)))) |
(pow.f64 x #s(literal 6 binary64)) |
x |
#s(literal 6 binary64) |
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) |
#s(literal 1/20160 binary64) |
(*.f64 x x) |
#s(literal 1/360 binary64) |
(fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)) |
(*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)) |
#s(literal 1/12 binary64) |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(*.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) (pow.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))) |
(/.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 2 binary64) #s(literal -2 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 x)) (cosh.f64 x) #s(literal 1 binary64))) |
(fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) |
(pow.f64 (cosh.f64 x) #s(literal 3 binary64)) |
(cosh.f64 x) |
x |
#s(literal 3 binary64) |
#s(literal 8 binary64) |
#s(literal -8 binary64) |
(pow.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)) |
(/.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 x)) (cosh.f64 x) #s(literal 1 binary64))) |
(fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64))) |
(fma.f64 (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64)) (cosh.f64 x) #s(literal 4 binary64)) |
(pow.f64 (cosh.f64 x) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(literal 4 binary64) |
(fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64)) |
#s(literal -1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0234375 | (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) | |
| accuracy | 0.03191376953688403 | (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) | |
| accuracy | 0.17578125 | (*.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) (pow.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))) | |
| accuracy | 30.800214270233386 | (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) | |
| accuracy | 0.0078125 | (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) | |
| accuracy | 0.01171875 | (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))) | |
| accuracy | 0.09765625 | (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))) | |
| accuracy | 0.7143140527415356 | #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))))) | |
| accuracy | 0 | (fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))) | |
| accuracy | 0 | (pow.f64 x #s(literal 4 binary64)) | |
| accuracy | 0.09765625 | (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))) | |
| accuracy | 1.3052504285448372 | #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.015625 | (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) | |
| accuracy | 0.22265625 | (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) | |
| accuracy | 1.3052504285448372 | #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))) | |
| accuracy | 0.015625 | (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))) | |
| accuracy | 0.015625 | (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))) | |
| accuracy | 0.09765625 | (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))) | |
| accuracy | 0.7143140527415356 | #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))))) |
| 249.0ms | 170× | 2 | valid |
| 56.0ms | 75× | 1 | valid |
| 4.0ms | 11× | 0 | valid |
Compiled 287 to 47 computations (83.6% saved)
ival-exp: 50.0ms (20.3% of total)adjust: 40.0ms (16.3% of total)ival-mult: 34.0ms (13.8% of total)ival-cosh: 30.0ms (12.2% of total)ival-pow: 27.0ms (11% of total)ival-add: 25.0ms (10.2% of total)const: 15.0ms (6.1% of total)exact: 13.0ms (5.3% of total)ival-pow2: 6.0ms (2.4% of total)ival-sub: 4.0ms (1.6% of total)ival-neg: 1.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))))) #<representation binary64>) () ()) |
#s(alt (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))))) (patch (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))) (patch (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))) #<representation binary64>) () ()) |
#s(alt (pow.f64 x #s(literal 8 binary64)) (patch (pow.f64 x #s(literal 8 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) (patch (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))) #<representation binary64>) () ()) |
#s(alt (fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))) (patch (fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))) (patch (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))))) #<representation binary64>) () ()) |
#s(alt (pow.f64 x #s(literal 6 binary64)) (patch (pow.f64 x #s(literal 6 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (patch (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64))) (patch (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) (pow.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))) (patch (*.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) (pow.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) (patch (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))) (patch (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))) (patch (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (patch (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (patch (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (pow x 2) (taylor 0 x) (#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) (taylor 0 x) (#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) (taylor 0 x) (#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))))) (patch (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))))) (patch (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) (taylor 0 x) (#s(alt (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))))) (patch (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) (taylor 0 x) (#s(alt (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))))) (patch (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/12 (pow x 4)) (taylor 0 x) (#s(alt (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))) (patch (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ 1/12 (* 1/360 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))) (patch (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))) (taylor 0 x) (#s(alt (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))) (patch (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))) (taylor 0 x) (#s(alt (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))) (patch (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 8) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 8 binary64)) (patch (pow.f64 x #s(literal 8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 8) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 8 binary64)) (patch (pow.f64 x #s(literal 8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 8) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 8 binary64)) (patch (pow.f64 x #s(literal 8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 8) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 8 binary64)) (patch (pow.f64 x #s(literal 8 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) (taylor 0 x) (#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) (taylor 0 x) (#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
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3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | inf | ((+ (- (exp x) 2) (exp (neg x))) (+ (* x x) (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))) (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (pow x 8) (+ (- (exp x) 2) (exp (neg x))) (* x x) (* (* x x) 1/12) (+ (* (* x x) (* (* x x) 1/12)) (* x x)) (+ (- (exp x) 2) (exp (neg x))) (+ (* x x) (* 1/12 (pow x 4))) (* 1/12 (pow x 4)) (pow x 4) (+ (- (exp x) 2) (exp (neg x))) (pow x 6) (+ (* 1/20160 (* x x)) 1/360) (+ (* (pow (cosh x) 2) 4) (+ (* (cosh x) 4) 4)) (pow (+ (* (pow (cosh x) 2) 4) (+ (* (cosh x) 4) 4)) -1) (* (+ (* (pow (cosh x) 3) 8) -8) (pow (+ (* (pow (cosh x) 2) 4) (+ (* (cosh x) 4) 4)) -1)) (+ (* (pow (cosh x) 3) 8) -8) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))) (+ (* (pow x 6) (+ (* 1/20160 (* x x)) 1/360)) (+ (* x x) (* 1/12 (pow x 4)))) (pow (cosh x) 3) (pow (cosh x) 2)) |
| 5.0ms | x | @ | -inf | ((+ (- (exp x) 2) (exp (neg x))) (+ (* x x) (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))) (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (pow x 8) (+ (- (exp x) 2) (exp (neg x))) (* x x) (* (* x x) 1/12) (+ (* (* x x) (* (* x x) 1/12)) (* x x)) (+ (- (exp x) 2) (exp (neg x))) (+ (* x x) (* 1/12 (pow x 4))) (* 1/12 (pow x 4)) (pow x 4) (+ (- (exp x) 2) (exp (neg x))) (pow x 6) (+ (* 1/20160 (* x x)) 1/360) (+ (* (pow (cosh x) 2) 4) (+ (* (cosh x) 4) 4)) (pow (+ (* (pow (cosh x) 2) 4) (+ (* (cosh x) 4) 4)) -1) (* (+ (* (pow (cosh x) 3) 8) -8) (pow (+ (* (pow (cosh x) 2) 4) (+ (* (cosh x) 4) 4)) -1)) (+ (* (pow (cosh x) 3) 8) -8) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))) (+ (* (pow x 6) (+ (* 1/20160 (* x x)) 1/360)) (+ (* x x) (* 1/12 (pow x 4)))) (pow (cosh x) 3) (pow (cosh x) 2)) |
| 3.0ms | x | @ | 0 | ((+ (- (exp x) 2) (exp (neg x))) (+ (* x x) (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))) (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (pow x 8) (+ (- (exp x) 2) (exp (neg x))) (* x x) (* (* x x) 1/12) (+ (* (* x x) (* (* x x) 1/12)) (* x x)) (+ (- (exp x) 2) (exp (neg x))) (+ (* x x) (* 1/12 (pow x 4))) (* 1/12 (pow x 4)) (pow x 4) (+ (- (exp x) 2) (exp (neg x))) (pow x 6) (+ (* 1/20160 (* x x)) 1/360) (+ (* (pow (cosh x) 2) 4) (+ (* (cosh x) 4) 4)) (pow (+ (* (pow (cosh x) 2) 4) (+ (* (cosh x) 4) 4)) -1) (* (+ (* (pow (cosh x) 3) 8) -8) (pow (+ (* (pow (cosh x) 2) 4) (+ (* (cosh x) 4) 4)) -1)) (+ (* (pow (cosh x) 3) 8) -8) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))) (+ (* (pow x 6) (+ (* 1/20160 (* x x)) 1/360)) (+ (* x x) (* 1/12 (pow x 4)))) (pow (cosh x) 3) (pow (cosh x) 2)) |
| 1× | egg-herbie |
| 21 192× | lower-fma.f64 |
| 21 192× | lower-fma.f32 |
| 4 514× | lower-*.f64 |
| 4 514× | lower-*.f32 |
| 4 106× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 153 | 2698 |
| 1 | 448 | 2650 |
| 2 | 1210 | 2568 |
| 3 | 3503 | 2568 |
| 4 | 6076 | 2568 |
| 5 | 7841 | 2568 |
| 0 | 8128 | 2401 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(* 1/12 (pow x 4)) |
(* (pow x 4) (+ 1/12 (* 1/360 (pow x 2)))) |
(* (pow x 4) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))) |
(* (pow x 4) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))) |
(pow x 8) |
(pow x 8) |
(pow x 8) |
(pow x 8) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 1/12 (pow x 2)) |
(* 1/12 (pow x 2)) |
(* 1/12 (pow x 2)) |
(* 1/12 (pow x 2)) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* 1/12 (pow x 4)) |
(* 1/12 (pow x 4)) |
(* 1/12 (pow x 4)) |
(* 1/12 (pow x 4)) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(pow x 6) |
(pow x 6) |
(pow x 6) |
(pow x 6) |
1/360 |
(+ 1/360 (* 1/20160 (pow x 2))) |
(+ 1/360 (* 1/20160 (pow x 2))) |
(+ 1/360 (* 1/20160 (pow x 2))) |
12 |
(+ 12 (* 6 (pow x 2))) |
(+ 12 (* (pow x 2) (+ 6 (* 3/2 (pow x 2))))) |
(+ 12 (* (pow x 2) (+ 6 (* (pow x 2) (+ 3/2 (* 11/60 (pow x 2))))))) |
1/12 |
(+ 1/12 (* -1/24 (pow x 2))) |
(+ 1/12 (* (pow x 2) (- (* 1/96 (pow x 2)) 1/24))) |
(+ 1/12 (* (pow x 2) (- (* (pow x 2) (+ 1/96 (* -11/8640 (pow x 2)))) 1/24))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(* 12 (pow x 2)) |
(* (pow x 2) (+ 12 (* 7 (pow x 2)))) |
(* (pow x 2) (+ 12 (* (pow x 2) (+ 7 (* 61/30 (pow x 2)))))) |
(* (pow x 2) (+ 12 (* (pow x 2) (+ 7 (* (pow x 2) (+ 61/30 (* 547/1680 (pow x 2)))))))) |
(* 1/12 (pow x 4)) |
(* (pow x 4) (+ 1/12 (* 1/360 (pow x 2)))) |
(* (pow x 4) (+ 1/12 (* 1/360 (pow x 2)))) |
(* (pow x 4) (+ 1/12 (* 1/360 (pow x 2)))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
1 |
(+ 1 (* 3/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 3/2 (* 7/8 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 3/2 (* (pow x 2) (+ 7/8 (* 61/240 (pow x 2))))))) |
1 |
(+ 1 (pow x 2)) |
(+ 1 (* (pow x 2) (+ 1 (* 1/3 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/3 (* 2/45 (pow x 2))))))) |
(- (+ (exp x) (exp (neg x))) 2) |
(- (+ (exp x) (exp (neg x))) 2) |
(- (+ (exp x) (exp (neg x))) 2) |
(- (+ (exp x) (exp (neg x))) 2) |
(* 1/20160 (pow x 8)) |
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/20160 (pow x 8)) |
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(pow x 8) |
(pow x 8) |
(pow x 8) |
(pow x 8) |
(- (+ (exp x) (exp (neg x))) 2) |
(- (+ (exp x) (exp (neg x))) 2) |
(- (+ (exp x) (exp (neg x))) 2) |
(- (+ (exp x) (exp (neg x))) 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 1/12 (pow x 2)) |
(* 1/12 (pow x 2)) |
(* 1/12 (pow x 2)) |
(* 1/12 (pow x 2)) |
(* 1/12 (pow x 4)) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(- (+ (exp x) (exp (neg x))) 2) |
(- (+ (exp x) (exp (neg x))) 2) |
(- (+ (exp x) (exp (neg x))) 2) |
(- (+ (exp x) (exp (neg x))) 2) |
(* 1/12 (pow x 4)) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(* 1/12 (pow x 4)) |
(* 1/12 (pow x 4)) |
(* 1/12 (pow x 4)) |
(* 1/12 (pow x 4)) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(- (+ (exp x) (exp (neg x))) 2) |
(- (+ (exp x) (exp (neg x))) 2) |
(- (+ (exp x) (exp (neg x))) 2) |
(- (+ (exp x) (exp (neg x))) 2) |
(pow x 6) |
(pow x 6) |
(pow x 6) |
(pow x 6) |
(* 1/20160 (pow x 2)) |
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2))) |
(+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2))) |
(+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2))) |
(+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2))) |
(/ 1 (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2)))) |
(/ 1 (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2)))) |
(/ 1 (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2)))) |
(/ 1 (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2)))) |
(/ (- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2)))) |
(/ (- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2)))) |
(/ (- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2)))) |
(/ (- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2)))) |
(- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) |
(- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) |
(- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) |
(- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) |
(* 1/360 (pow x 6)) |
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* 1/20160 (pow x 8)) |
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3)) |
(* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3)) |
(* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3)) |
(* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3)) |
(* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) |
(* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) |
(* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) |
(* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(* 1/20160 (pow x 8)) |
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/20160 (pow x 8)) |
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(pow x 8) |
(pow x 8) |
(pow x 8) |
(pow x 8) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 1/12 (pow x 2)) |
(* 1/12 (pow x 2)) |
(* 1/12 (pow x 2)) |
(* 1/12 (pow x 2)) |
(* 1/12 (pow x 4)) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(* 1/12 (pow x 4)) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(* 1/12 (pow x 4)) |
(* 1/12 (pow x 4)) |
(* 1/12 (pow x 4)) |
(* 1/12 (pow x 4)) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(pow x 6) |
(pow x 6) |
(pow x 6) |
(pow x 6) |
(* 1/20160 (pow x 2)) |
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2))) |
(+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2))) |
(+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2))) |
(+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2))) |
(/ 1 (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2)))) |
(/ 1 (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2)))) |
(/ 1 (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2)))) |
(/ 1 (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2)))) |
(/ (- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2)))) |
(/ (- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2)))) |
(/ (- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2)))) |
(/ (- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2)))) |
(- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) |
(- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) |
(- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) |
(- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) |
(* 1/360 (pow x 6)) |
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2))))) |
(* 1/20160 (pow x 8)) |
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3)) |
(* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3)) |
(* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3)) |
(* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3)) |
(* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) |
(* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) |
(* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) |
(* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) |
| Outputs |
|---|
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))) |
(* 1/12 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)) |
(* (pow x 4) (+ 1/12 (* 1/360 (pow x 2)))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))) |
(* (pow x 4) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64))) |
(* (pow x 4) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64))) |
(pow x 8) |
(pow.f64 x #s(literal 8 binary64)) |
(pow x 8) |
(pow.f64 x #s(literal 8 binary64)) |
(pow x 8) |
(pow.f64 x #s(literal 8 binary64)) |
(pow x 8) |
(pow.f64 x #s(literal 8 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
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(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/20160 binary64)) (pow.f64 x #s(literal 8 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64)))) |
(* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3)) |
(*.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64))) |
(* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3)) |
(*.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64))) |
(* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3)) |
(*.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64))) |
(* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3)) |
(*.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64))) |
(* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) |
(*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64))) |
(* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) |
(*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64))) |
(* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) |
(*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64))) |
(* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) |
(*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64))) |
| 5 200× | lower-*.f32 |
| 5 192× | lower-*.f64 |
| 4 572× | lower-fma.f32 |
| 4 552× | lower-fma.f64 |
| 3 348× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 261 |
| 0 | 70 | 253 |
| 1 | 313 | 243 |
| 2 | 2536 | 243 |
| 0 | 8511 | 236 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))))) |
(fma.f64 x x (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))))) |
(fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(pow.f64 x #s(literal 8 binary64)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))) |
(*.f64 x x) |
(*.f64 (*.f64 x x) #s(literal 1/12 binary64)) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))) |
(pow.f64 x #s(literal 4 binary64)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))))) |
(pow.f64 x #s(literal 6 binary64)) |
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) |
(fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64))) |
(pow.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) (pow.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))) |
(fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) |
(fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(pow.f64 (cosh.f64 x) #s(literal 3 binary64)) |
(pow.f64 (cosh.f64 x) #s(literal 2 binary64)) |
| Outputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 x x (fma.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64)))))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64)))) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x)) #s(literal 2 binary64))) (pow.f64 (-.f64 (fma.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))) (*.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64)))) (-.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64)))) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 18 binary64)) (pow.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x)) (-.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x)) (fma.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64)))) (pow.f64 (fma.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))) (*.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x))) (-.f64 (pow.f64 (fma.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x)) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x)) (-.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x)) (fma.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64)))) (pow.f64 (fma.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))) #s(literal 2 binary64))) (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 18 binary64)) (pow.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64)))) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64)))) (-.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64)))) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))) #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))) (*.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x)))) (*.f64 (-.f64 (fma.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))) (*.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x))) (pow.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x)) #s(literal 2 binary64)))) (*.f64 (-.f64 (fma.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))) (*.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x))) (-.f64 (fma.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))) (*.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64)))))) (*.f64 (-.f64 (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64)))) #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))))) (-.f64 (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))))))) |
(/.f64 (fma.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 16 binary64)))) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))) (*.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)))) (-.f64 (*.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64))) (*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/129600 binary64))))) (*.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)))) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))))) |
(/.f64 (fma.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 16 binary64)))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (*.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 4 binary64))))) (*.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)))) (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/129600 binary64)) (*.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64))))))) (*.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (*.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 4 binary64))))))) |
(/.f64 (fma.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 16 binary64)))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/129600 binary64) (-.f64 (*.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64))) (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal 1/46656000 binary64) (*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/1728 binary64)))))) (*.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1/129600 binary64) (-.f64 (*.f64 #s(literal 1/144 binary64) (pow.f64 x #s(literal 8 binary64))) (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))))))) |
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(fma.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x) (fma.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64)))) |
(fma.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))))) |
(fma.f64 x x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))))) |
(-.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))) #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))) (*.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x)))) (/.f64 (pow.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x)) #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))) (*.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64)))))) (/.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))))))) |
(+.f64 (+.f64 (fma.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))) |
(+.f64 (+.f64 (fma.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))) |
(+.f64 (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64)))) (*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)))) |
(+.f64 (fma.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x) (*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)))) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))) |
(+.f64 (fma.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)) (*.f64 x x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64)))) |
(+.f64 (fma.f64 x x (fma.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))) |
(+.f64 (*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64))) (+.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))) (*.f64 x x))) |
(+.f64 (*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (*.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x)))) |
(+.f64 (fma.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))) (*.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x))) |
(+.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x)) (fma.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64)))) |
(+.f64 (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))))) |
(+.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64)))) (*.f64 x x)) |
(+.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))) (fma.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)) (*.f64 x x))) |
(+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))))) |
(*.f64 (pow.f64 (sqrt.f64 (cosh.f64 x)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cosh.f64 x)) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (cosh.f64 x) #s(literal 3/2 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3/2 binary64))) |
(*.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 1/8 binary64)) |
(*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (cosh.f64 x)) |
(*.f64 (cosh.f64 x) (pow.f64 (cosh.f64 x) #s(literal 2 binary64))) |
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 (cosh.f64 x))) |
(pow.f64 (pow.f64 (cosh.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 3/2 binary64)) |
(pow.f64 (cosh.f64 x) #s(literal 3 binary64)) |
(/.f64 (pow.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 3 binary64)) #s(literal -8 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (pow.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 3 binary64))) |
(/.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 8 binary64)) |
(exp.f64 (fma.f64 (log.f64 (cosh.f64 x)) #s(literal 3/2 binary64) (*.f64 (log.f64 (cosh.f64 x)) #s(literal 3/2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (cosh.f64 x)) #s(literal 2 binary64) (log.f64 (cosh.f64 x)))) |
(exp.f64 (+.f64 (log.f64 (cosh.f64 x)) (*.f64 (log.f64 (cosh.f64 x)) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (cosh.f64 x)) #s(literal 3/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (cosh.f64 x)) #s(literal 2 binary64)) #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (cosh.f64 x) #s(literal 3/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (cosh.f64 x)) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(*.f64 (cosh.f64 x) (cosh.f64 x)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cosh.f64 x))) |
(pow.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (cosh.f64 x) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (cosh.f64 x)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (cosh.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64)) |
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) #s(literal 4 binary64)) |
(exp.f64 (+.f64 (log.f64 (cosh.f64 x)) (log.f64 (cosh.f64 x)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (cosh.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (cosh.f64 x)) #s(literal 2 binary64))) |
Compiled 52 384 to 2 873 computations (94.5% saved)
10 alts after pruning (8 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 386 | 6 | 1 392 |
| Fresh | 2 | 2 | 4 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 393 | 10 | 1 403 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 52.0% | (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) |
| ▶ | 8.1% | (/.f64 (fma.f64 (pow.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) #s(literal -8 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))))) |
| ▶ | 52.0% | (/.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) (fma.f64 #s(literal 4 binary64) (fma.f64 (cosh.f64 x) (cosh.f64 x) (cosh.f64 x)) #s(literal 4 binary64))) |
| ✓ | 52.1% | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
| 52.0% | (*.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 x)) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64))) | |
| 98.0% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)))) | |
| ▶ | 98.9% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)))))) |
| 98.7% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)))))) | |
| ▶ | 98.0% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x))) |
| ✓ | 97.1% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) |
Compiled 280 to 186 computations (33.6% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (fma.f64 (pow.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) #s(literal -8 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))))) | |
| cost-diff | 128 | (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))) | |
| cost-diff | 320 | (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) | |
| cost-diff | 7040 | (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))) | |
| cost-diff | 0 | (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) (fma.f64 #s(literal 4 binary64) (fma.f64 (cosh.f64 x) (cosh.f64 x) (cosh.f64 x)) #s(literal 4 binary64))) | |
| cost-diff | 128 | (fma.f64 #s(literal 4 binary64) (fma.f64 (cosh.f64 x) (cosh.f64 x) (cosh.f64 x)) #s(literal 4 binary64)) | |
| cost-diff | 6272 | (fma.f64 (cosh.f64 x) (cosh.f64 x) (cosh.f64 x)) | |
| cost-diff | 0 | (cosh.f64 x) | |
| cost-diff | 0 | (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 #s(literal 1/12 binary64) x) | |
| cost-diff | 0 | (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x))) | |
| cost-diff | 0 | (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64))) | |
| cost-diff | 0 | #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)))) | |
| cost-diff | 0 | (fma.f64 x x #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64))))) | |
| cost-diff | 0 | #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)))))) |
| 14 626× | lower-fma.f32 |
| 14 606× | lower-fma.f64 |
| 3 972× | lower-*.f32 |
| 3 958× | lower-*.f64 |
| 3 086× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 371 |
| 0 | 90 | 362 |
| 1 | 165 | 353 |
| 2 | 294 | 353 |
| 3 | 670 | 345 |
| 4 | 1799 | 345 |
| 5 | 5005 | 339 |
| 0 | 8082 | 332 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)))))) |
(fma.f64 x x #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64))))) |
x |
#s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64))) |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) |
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) |
#s(literal 1/20160 binary64) |
(*.f64 x x) |
#s(literal 1/360 binary64) |
#s(literal 1/12 binary64) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x)) |
(fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) |
(*.f64 #s(literal 1/12 binary64) x) |
#s(literal 1/12 binary64) |
x |
#s(literal 1 binary64) |
(*.f64 x x) |
(fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) |
(cosh.f64 x) |
x |
#s(literal 2 binary64) |
#s(literal -2 binary64) |
(/.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) (fma.f64 #s(literal 4 binary64) (fma.f64 (cosh.f64 x) (cosh.f64 x) (cosh.f64 x)) #s(literal 4 binary64))) |
(fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) |
(pow.f64 (cosh.f64 x) #s(literal 3 binary64)) |
(cosh.f64 x) |
x |
#s(literal 3 binary64) |
#s(literal 8 binary64) |
#s(literal -8 binary64) |
(fma.f64 #s(literal 4 binary64) (fma.f64 (cosh.f64 x) (cosh.f64 x) (cosh.f64 x)) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(fma.f64 (cosh.f64 x) (cosh.f64 x) (cosh.f64 x)) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) #s(literal -8 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))))) |
(fma.f64 (pow.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) #s(literal -8 binary64)) |
(pow.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) |
(*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (cosh.f64 x) #s(literal 2 binary64)) |
(cosh.f64 x) |
x |
#s(literal 2 binary64) |
#s(literal 3/2 binary64) |
(pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) |
#s(literal -8 binary64) |
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))) |
(*.f64 #s(literal 2 binary64) (cosh.f64 x)) |
(+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))) |
#s(literal 4 binary64) |
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) |
| Outputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)))))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))))) |
(fma.f64 x x #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64))))) |
(fma.f64 x x #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))))) |
x |
#s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)))) |
#s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) |
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) |
#s(literal 1/20160 binary64) |
(*.f64 x x) |
#s(literal 1/360 binary64) |
#s(literal 1/12 binary64) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x)) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)) |
(fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) |
(*.f64 #s(literal 1/12 binary64) x) |
#s(literal 1/12 binary64) |
x |
#s(literal 1 binary64) |
(*.f64 x x) |
(fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) |
(cosh.f64 x) |
x |
#s(literal 2 binary64) |
#s(literal -2 binary64) |
(/.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) (fma.f64 #s(literal 4 binary64) (fma.f64 (cosh.f64 x) (cosh.f64 x) (cosh.f64 x)) #s(literal 4 binary64))) |
(/.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) (fma.f64 (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64)) (cosh.f64 x) #s(literal 4 binary64))) |
(fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) |
(pow.f64 (cosh.f64 x) #s(literal 3 binary64)) |
(cosh.f64 x) |
x |
#s(literal 3 binary64) |
#s(literal 8 binary64) |
#s(literal -8 binary64) |
(fma.f64 #s(literal 4 binary64) (fma.f64 (cosh.f64 x) (cosh.f64 x) (cosh.f64 x)) #s(literal 4 binary64)) |
(fma.f64 (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64)) (cosh.f64 x) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(fma.f64 (cosh.f64 x) (cosh.f64 x) (cosh.f64 x)) |
(*.f64 (+.f64 (cosh.f64 x) #s(literal 1 binary64)) (cosh.f64 x)) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) #s(literal -8 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) #s(literal -8 binary64)) (fma.f64 (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64)) (cosh.f64 x) #s(literal 4 binary64))) |
(fma.f64 (pow.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) #s(literal -8 binary64)) |
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) #s(literal -8 binary64)) |
(pow.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) |
(*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (cosh.f64 x) #s(literal 2 binary64)) |
(cosh.f64 x) |
x |
#s(literal 2 binary64) |
#s(literal 3/2 binary64) |
(pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) |
#s(literal -8 binary64) |
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))) |
(fma.f64 (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64)) (cosh.f64 x) #s(literal 4 binary64)) |
(*.f64 #s(literal 2 binary64) (cosh.f64 x)) |
(*.f64 (cosh.f64 x) #s(literal 2 binary64)) |
(+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))) |
(fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) |
(*.f64 (cosh.f64 x) #s(literal 4 binary64)) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0234375 | (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) | |
| accuracy | 0.03125 | (pow.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) | |
| accuracy | 0.14453125 | (/.f64 (fma.f64 (pow.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) #s(literal -8 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))))) | |
| accuracy | 58.74348128479035 | (fma.f64 (pow.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) #s(literal -8 binary64)) | |
| accuracy | 0.0078125 | (fma.f64 (cosh.f64 x) (cosh.f64 x) (cosh.f64 x)) | |
| accuracy | 0.03191376953688403 | (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) | |
| accuracy | 0.14453125 | (/.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) (fma.f64 #s(literal 4 binary64) (fma.f64 (cosh.f64 x) (cosh.f64 x) (cosh.f64 x)) #s(literal 4 binary64))) | |
| accuracy | 30.800214270233386 | (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) | |
| accuracy | 0 | (cosh.f64 x) | |
| accuracy | 30.710994264858243 | (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.0234375 | (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x)) | |
| accuracy | 0.33984375 | (*.f64 #s(literal 1/12 binary64) x) | |
| accuracy | 1.3052504285448372 | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x))) | |
| accuracy | 0.0078125 | (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) | |
| accuracy | 0.01953125 | (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) | |
| accuracy | 0.10841752930532605 | (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64))) | |
| accuracy | 0.7143140527415356 | #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)))))) |
| 562.0ms | 75× | 1 | valid |
| 436.0ms | 170× | 2 | valid |
| 5.0ms | 11× | 0 | valid |
Compiled 313 to 62 computations (80.2% saved)
ival-mult: 488.0ms (52.9% of total)ival-pow: 121.0ms (13.1% of total)ival-add: 94.0ms (10.2% of total)ival-exp: 69.0ms (7.5% of total)adjust: 64.0ms (6.9% of total)ival-cosh: 39.0ms (4.2% of total)const: 26.0ms (2.8% of total)ival-div: 8.0ms (0.9% of total)ival-pow2: 6.0ms (0.7% of total)ival-sub: 4.0ms (0.4% of total)exact: 1.0ms (0.1% of total)ival-neg: 1.0ms (0.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)))))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)))))) #<representation binary64>) () ()) |
#s(alt (fma.f64 x x #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64))))) (patch (fma.f64 x x #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64))))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)))) (patch #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64))) (patch (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (patch (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/12 binary64) x) (patch (*.f64 #s(literal 1/12 binary64) x) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) (patch (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) #<representation binary64>) () ()) |
#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ()) |
#s(alt (fma.f64 (cosh.f64 x) (cosh.f64 x) (cosh.f64 x)) (patch (fma.f64 (cosh.f64 x) (cosh.f64 x) (cosh.f64 x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 4 binary64) (fma.f64 (cosh.f64 x) (cosh.f64 x) (cosh.f64 x)) #s(literal 4 binary64)) (patch (fma.f64 #s(literal 4 binary64) (fma.f64 (cosh.f64 x) (cosh.f64 x) (cosh.f64 x)) #s(literal 4 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) (fma.f64 #s(literal 4 binary64) (fma.f64 (cosh.f64 x) (cosh.f64 x) (cosh.f64 x)) #s(literal 4 binary64))) (patch (/.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) (fma.f64 #s(literal 4 binary64) (fma.f64 (cosh.f64 x) (cosh.f64 x) (cosh.f64 x)) #s(literal 4 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) (patch (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))) (patch (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) (patch (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))) (patch (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (pow.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) #s(literal -8 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))))) (patch (/.f64 (fma.f64 (pow.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) #s(literal -8 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (patch (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x)) (patch (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (patch (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (pow.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) #s(literal -8 binary64)) (patch (fma.f64 (pow.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) #s(literal -8 binary64)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (patch (pow.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (patch (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (pow x 2) (taylor 0 x) (#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)))))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)))))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) (taylor 0 x) (#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)))))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) (taylor 0 x) (#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)))))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (fma.f64 x x #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64))))) (patch (fma.f64 x x #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 x x #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64))))) (patch (fma.f64 x x #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) (taylor 0 x) (#s(alt (fma.f64 x x #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64))))) (patch (fma.f64 x x #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) (taylor 0 x) (#s(alt (fma.f64 x x #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64))))) (patch (fma.f64 x x #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/12 (pow x 4)) (taylor 0 x) (#s(alt #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)))) (patch #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ 1/12 (* 1/360 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)))) (patch #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))) (taylor 0 x) (#s(alt #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)))) (patch #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))) (taylor 0 x) (#s(alt #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)))) (patch #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/12 (pow x 4)) (taylor 0 x) (#s(alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64))) (patch (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ 1/12 (* 1/360 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64))) (patch (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))) (taylor 0 x) (#s(alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64))) (patch (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))) (taylor 0 x) (#s(alt (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64))) (patch (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) (taylor 0 x) (#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) (taylor 0 x) (#s(alt #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x))) (patch #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (patch (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/12 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (patch (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/12 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (patch (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/12 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (patch (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/12 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 1/12 binary64) x) (patch (*.f64 #s(literal 1/12 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/12 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 1/12 binary64) x) (patch (*.f64 #s(literal 1/12 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/12 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 1/12 binary64) x) (patch (*.f64 #s(literal 1/12 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/12 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 1/12 binary64) x) (patch (*.f64 #s(literal 1/12 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) (patch (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) (taylor 0 x) (#s(alt (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) (patch (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) (taylor 0 x) (#s(alt (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) (patch (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) (taylor 0 x) (#s(alt (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) (patch (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/2 (pow x 2))) (taylor 0 x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) (taylor 0 x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) (taylor 0 x) (#s(alt (cosh.f64 x) (patch (cosh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt 2 (taylor 0 x) (#s(alt (fma.f64 (cosh.f64 x) (cosh.f64 x) (cosh.f64 x)) (patch (fma.f64 (cosh.f64 x) (cosh.f64 x) (cosh.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* 3/2 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (cosh.f64 x) (cosh.f64 x) (cosh.f64 x)) (patch (fma.f64 (cosh.f64 x) (cosh.f64 x) (cosh.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* (pow x 2) (+ 3/2 (* 3/8 (pow x 2))))) (taylor 0 x) (#s(alt (fma.f64 (cosh.f64 x) (cosh.f64 x) (cosh.f64 x)) (patch (fma.f64 (cosh.f64 x) (cosh.f64 x) (cosh.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* (pow x 2) (+ 3/2 (* (pow x 2) (+ 3/8 (* 11/240 (pow x 2))))))) (taylor 0 x) (#s(alt (fma.f64 (cosh.f64 x) (cosh.f64 x) (cosh.f64 x)) (patch (fma.f64 (cosh.f64 x) (cosh.f64 x) (cosh.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt 12 (taylor 0 x) (#s(alt (fma.f64 #s(literal 4 binary64) (fma.f64 (cosh.f64 x) (cosh.f64 x) (cosh.f64 x)) #s(literal 4 binary64)) (patch (fma.f64 #s(literal 4 binary64) (fma.f64 (cosh.f64 x) (cosh.f64 x) (cosh.f64 x)) #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 12 (* 6 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 #s(literal 4 binary64) (fma.f64 (cosh.f64 x) (cosh.f64 x) (cosh.f64 x)) #s(literal 4 binary64)) (patch (fma.f64 #s(literal 4 binary64) (fma.f64 (cosh.f64 x) (cosh.f64 x) (cosh.f64 x)) #s(literal 4 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (taylor -inf x) (#s(alt (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (patch (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 23.0ms | x | @ | 0 | ((+ (- (exp x) 2) (exp (neg x))) (+ (* x x) (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))) (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (* (pow x 4) (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12)) (+ (- (exp x) 2) (exp (neg x))) (+ (* (* 1/12 x) x) 1) (* 1/12 x) (* x x) (+ (* (cosh x) 2) -2) (cosh x) (+ (* (cosh x) (cosh x)) (cosh x)) (+ (* 4 (+ (* (cosh x) (cosh x)) (cosh x))) 4) (/ (+ (* (pow (cosh x) 3) 8) -8) (+ (* 4 (+ (* (cosh x) (cosh x)) (cosh x))) 4)) (+ (* (pow (cosh x) 3) 8) -8) (+ (* (* 2 (cosh x)) (* 2 (cosh x))) (+ 4 (* (* 2 (cosh x)) 2))) (* (* 2 (cosh x)) 2) (+ 4 (* (* 2 (cosh x)) 2)) (/ (+ (* (pow (* (pow (cosh x) 2) 2) 3/2) (pow 2 3/2)) -8) (+ (* (* 2 (cosh x)) (* 2 (cosh x))) (+ 4 (* (* 2 (cosh x)) 2)))) (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (+ (* 1/20160 (* x x)) 1/360) (* (+ (* (* 1/12 x) x) 1) (* x x)) (pow (cosh x) 3) (+ (* (pow (* (pow (cosh x) 2) 2) 3/2) (pow 2 3/2)) -8) (pow (* (pow (cosh x) 2) 2) 3/2) (pow (cosh x) 2)) |
| 7.0ms | x | @ | inf | ((+ (- (exp x) 2) (exp (neg x))) (+ (* x x) (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))) (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (* (pow x 4) (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12)) (+ (- (exp x) 2) (exp (neg x))) (+ (* (* 1/12 x) x) 1) (* 1/12 x) (* x x) (+ (* (cosh x) 2) -2) (cosh x) (+ (* (cosh x) (cosh x)) (cosh x)) (+ (* 4 (+ (* (cosh x) (cosh x)) (cosh x))) 4) (/ (+ (* (pow (cosh x) 3) 8) -8) (+ (* 4 (+ (* (cosh x) (cosh x)) (cosh x))) 4)) (+ (* (pow (cosh x) 3) 8) -8) (+ (* (* 2 (cosh x)) (* 2 (cosh x))) (+ 4 (* (* 2 (cosh x)) 2))) (* (* 2 (cosh x)) 2) (+ 4 (* (* 2 (cosh x)) 2)) (/ (+ (* (pow (* (pow (cosh x) 2) 2) 3/2) (pow 2 3/2)) -8) (+ (* (* 2 (cosh x)) (* 2 (cosh x))) (+ 4 (* (* 2 (cosh x)) 2)))) (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (+ (* 1/20160 (* x x)) 1/360) (* (+ (* (* 1/12 x) x) 1) (* x x)) (pow (cosh x) 3) (+ (* (pow (* (pow (cosh x) 2) 2) 3/2) (pow 2 3/2)) -8) (pow (* (pow (cosh x) 2) 2) 3/2) (pow (cosh x) 2)) |
| 6.0ms | x | @ | -inf | ((+ (- (exp x) 2) (exp (neg x))) (+ (* x x) (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))) (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (* (pow x 4) (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12)) (+ (- (exp x) 2) (exp (neg x))) (+ (* (* 1/12 x) x) 1) (* 1/12 x) (* x x) (+ (* (cosh x) 2) -2) (cosh x) (+ (* (cosh x) (cosh x)) (cosh x)) (+ (* 4 (+ (* (cosh x) (cosh x)) (cosh x))) 4) (/ (+ (* (pow (cosh x) 3) 8) -8) (+ (* 4 (+ (* (cosh x) (cosh x)) (cosh x))) 4)) (+ (* (pow (cosh x) 3) 8) -8) (+ (* (* 2 (cosh x)) (* 2 (cosh x))) (+ 4 (* (* 2 (cosh x)) 2))) (* (* 2 (cosh x)) 2) (+ 4 (* (* 2 (cosh x)) 2)) (/ (+ (* (pow (* (pow (cosh x) 2) 2) 3/2) (pow 2 3/2)) -8) (+ (* (* 2 (cosh x)) (* 2 (cosh x))) (+ 4 (* (* 2 (cosh x)) 2)))) (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (+ (* 1/20160 (* x x)) 1/360) (* (+ (* (* 1/12 x) x) 1) (* x x)) (pow (cosh x) 3) (+ (* (pow (* (pow (cosh x) 2) 2) 3/2) (pow 2 3/2)) -8) (pow (* (pow (cosh x) 2) 2) 3/2) (pow (cosh x) 2)) |
| 1× | egg-herbie |
| 13 916× | lower-fma.f64 |
| 13 916× | lower-fma.f32 |
| 4 372× | lower-*.f64 |
| 4 372× | lower-*.f32 |
| 3 406× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 265 | 3536 |
| 1 | 790 | 3451 |
| 2 | 2597 | 3249 |
| 3 | 5784 | 3247 |
| 4 | 7025 | 3247 |
| 0 | 8149 | 3051 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(* 1/12 (pow x 4)) |
(* (pow x 4) (+ 1/12 (* 1/360 (pow x 2)))) |
(* (pow x 4) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))) |
(* (pow x 4) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))) |
(* 1/12 (pow x 4)) |
(* (pow x 4) (+ 1/12 (* 1/360 (pow x 2)))) |
(* (pow x 4) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))) |
(* (pow x 4) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
1 |
(+ 1 (* 1/12 (pow x 2))) |
(+ 1 (* 1/12 (pow x 2))) |
(+ 1 (* 1/12 (pow x 2))) |
(* 1/12 x) |
(* 1/12 x) |
(* 1/12 x) |
(* 1/12 x) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
2 |
(+ 2 (* 3/2 (pow x 2))) |
(+ 2 (* (pow x 2) (+ 3/2 (* 3/8 (pow x 2))))) |
(+ 2 (* (pow x 2) (+ 3/2 (* (pow x 2) (+ 3/8 (* 11/240 (pow x 2))))))) |
12 |
(+ 12 (* 6 (pow x 2))) |
(+ 12 (* (pow x 2) (+ 6 (* 3/2 (pow x 2))))) |
(+ 12 (* (pow x 2) (+ 6 (* (pow x 2) (+ 3/2 (* 11/60 (pow x 2))))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(* 12 (pow x 2)) |
(* (pow x 2) (+ 12 (* 7 (pow x 2)))) |
(* (pow x 2) (+ 12 (* (pow x 2) (+ 7 (* 61/30 (pow x 2)))))) |
(* (pow x 2) (+ 12 (* (pow x 2) (+ 7 (* (pow x 2) (+ 61/30 (* 547/1680 (pow x 2)))))))) |
12 |
(+ 12 (* 6 (pow x 2))) |
(+ 12 (* (pow x 2) (+ 6 (* 3/2 (pow x 2))))) |
(+ 12 (* (pow x 2) (+ 6 (* (pow x 2) (+ 3/2 (* 11/60 (pow x 2))))))) |
4 |
(+ 4 (* 2 (pow x 2))) |
(+ 4 (* (pow x 2) (+ 2 (* 1/6 (pow x 2))))) |
(+ 4 (* (pow x 2) (+ 2 (* (pow x 2) (+ 1/6 (* 1/180 (pow x 2))))))) |
8 |
(+ 8 (* 2 (pow x 2))) |
(+ 8 (* (pow x 2) (+ 2 (* 1/6 (pow x 2))))) |
(+ 8 (* (pow x 2) (+ 2 (* (pow x 2) (+ 1/6 (* 1/180 (pow x 2))))))) |
(* 1/12 (- (pow (sqrt 8) 2) 8)) |
(+ (* 1/12 (- (pow (sqrt 8) 2) 8)) (* (pow x 2) (- (* 1/8 (pow (sqrt 8) 2)) (* 1/24 (- (pow (sqrt 8) 2) 8))))) |
(+ (* 1/12 (- (pow (sqrt 8) 2) 8)) (* (pow x 2) (- (+ (* 1/8 (pow (sqrt 8) 2)) (* (pow x 2) (- (* 7/96 (pow (sqrt 8) 2)) (+ (* 1/96 (- (pow (sqrt 8) 2) 8)) (* 1/2 (- (* 1/8 (pow (sqrt 8) 2)) (* 1/24 (- (pow (sqrt 8) 2) 8)))))))) (* 1/24 (- (pow (sqrt 8) 2) 8))))) |
(+ (* 1/12 (- (pow (sqrt 8) 2) 8)) (* (pow x 2) (- (+ (* 1/8 (pow (sqrt 8) 2)) (* (pow x 2) (- (+ (* 7/96 (pow (sqrt 8) 2)) (* (pow x 2) (- (* 61/2880 (pow (sqrt 8) 2)) (+ (* 11/8640 (- (pow (sqrt 8) 2) 8)) (+ (* 1/8 (- (* 1/8 (pow (sqrt 8) 2)) (* 1/24 (- (pow (sqrt 8) 2) 8)))) (* 1/2 (- (* 7/96 (pow (sqrt 8) 2)) (+ (* 1/96 (- (pow (sqrt 8) 2) 8)) (* 1/2 (- (* 1/8 (pow (sqrt 8) 2)) (* 1/24 (- (pow (sqrt 8) 2) 8)))))))))))) (+ (* 1/96 (- (pow (sqrt 8) 2) 8)) (* 1/2 (- (* 1/8 (pow (sqrt 8) 2)) (* 1/24 (- (pow (sqrt 8) 2) 8)))))))) (* 1/24 (- (pow (sqrt 8) 2) 8))))) |
1/12 |
(+ 1/12 (* 1/360 (pow x 2))) |
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))) |
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))) |
1/360 |
(+ 1/360 (* 1/20160 (pow x 2))) |
(+ 1/360 (* 1/20160 (pow x 2))) |
(+ 1/360 (* 1/20160 (pow x 2))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
1 |
(+ 1 (* 3/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 3/2 (* 7/8 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 3/2 (* (pow x 2) (+ 7/8 (* 61/240 (pow x 2))))))) |
(- (pow (sqrt 8) 2) 8) |
(- (+ (* 3/2 (* (pow x 2) (pow (sqrt 8) 2))) (pow (sqrt 8) 2)) 8) |
(- (+ (* (pow x 2) (+ (* 7/8 (* (pow x 2) (pow (sqrt 8) 2))) (* 3/2 (pow (sqrt 8) 2)))) (pow (sqrt 8) 2)) 8) |
(- (+ (* (pow x 2) (+ (* 3/2 (pow (sqrt 8) 2)) (* (pow x 2) (+ (* 61/240 (* (pow x 2) (pow (sqrt 8) 2))) (* 7/8 (pow (sqrt 8) 2)))))) (pow (sqrt 8) 2)) 8) |
(sqrt 8) |
(+ (sqrt 8) (* 3/2 (* (pow x 2) (sqrt 8)))) |
(+ (sqrt 8) (* (pow x 2) (+ (* 7/8 (* (pow x 2) (sqrt 8))) (* 3/2 (sqrt 8))))) |
(+ (sqrt 8) (* (pow x 2) (+ (* 3/2 (sqrt 8)) (* (pow x 2) (+ (* 61/240 (* (pow x 2) (sqrt 8))) (* 7/8 (sqrt 8))))))) |
1 |
(+ 1 (pow x 2)) |
(+ 1 (* (pow x 2) (+ 1 (* 1/3 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/3 (* 2/45 (pow x 2))))))) |
(- (+ (exp x) (exp (neg x))) 2) |
(- (+ (exp x) (exp (neg x))) 2) |
(- (+ (exp x) (exp (neg x))) 2) |
(- (+ (exp x) (exp (neg x))) 2) |
(* 1/20160 (pow x 8)) |
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/20160 (pow x 8)) |
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* 1/20160 (pow x 8)) |
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(- (+ (exp x) (exp (neg x))) 2) |
(- (+ (exp x) (exp (neg x))) 2) |
(- (+ (exp x) (exp (neg x))) 2) |
(- (+ (exp x) (exp (neg x))) 2) |
(* 1/12 (pow x 2)) |
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2)))) |
(* 1/12 x) |
(* 1/12 x) |
(* 1/12 x) |
(* 1/12 x) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
(- (+ (exp x) (/ 1 (exp 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)))) |
(+ (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(+ (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(+ (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(+ (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(+ 4 (* 4 (+ (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (* 1/2 (+ (exp x) (/ 1 (exp x))))))) |
(+ 4 (* 4 (+ (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (* 1/2 (+ (exp x) (/ 1 (exp x))))))) |
(+ 4 (* 4 (+ (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (* 1/2 (+ (exp x) (/ 1 (exp x))))))) |
(+ 4 (* 4 (+ (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (* 1/2 (+ (exp x) (/ 1 (exp x))))))) |
(/ (- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) (+ 4 (* 4 (+ (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (* 1/2 (+ (exp x) (/ 1 (exp x)))))))) |
(/ (- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) (+ 4 (* 4 (+ (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (* 1/2 (+ (exp x) (/ 1 (exp x)))))))) |
(/ (- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) (+ 4 (* 4 (+ (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (* 1/2 (+ (exp x) (/ 1 (exp x)))))))) |
(/ (- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) (+ 4 (* 4 (+ (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (* 1/2 (+ (exp x) (/ 1 (exp x)))))))) |
(- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) |
(- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) |
(- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) |
(- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) |
(+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2))) |
(+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2))) |
(+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2))) |
(+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2))) |
(* 2 (+ (exp x) (/ 1 (exp x)))) |
(* 2 (+ (exp x) (/ 1 (exp x)))) |
(* 2 (+ (exp x) (/ 1 (exp x)))) |
(* 2 (+ (exp x) (/ 1 (exp x)))) |
(+ 4 (* 2 (+ (exp x) (/ 1 (exp x))))) |
(+ 4 (* 2 (+ (exp x) (/ 1 (exp x))))) |
(+ 4 (* 2 (+ (exp x) (/ 1 (exp x))))) |
(+ 4 (* 2 (+ (exp x) (/ 1 (exp x))))) |
(/ (- (* 1/8 (* (pow (sqrt 8) 2) (pow (+ (exp x) (/ 1 (exp x))) 3))) 8) (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2)))) |
(/ (- (* 1/8 (* (pow (sqrt 8) 2) (pow (+ (exp x) (/ 1 (exp x))) 3))) 8) (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2)))) |
(/ (- (* 1/8 (* (pow (sqrt 8) 2) (pow (+ (exp x) (/ 1 (exp x))) 3))) 8) (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2)))) |
(/ (- (* 1/8 (* (pow (sqrt 8) 2) (pow (+ (exp x) (/ 1 (exp x))) 3))) 8) (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2)))) |
(* 1/20160 (pow x 4)) |
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* 1/20160 (pow x 2)) |
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* 1/12 (pow x 4)) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3)) |
(* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3)) |
(* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3)) |
(* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3)) |
(- (* 1/8 (* (pow (sqrt 8) 2) (pow (+ (exp x) (/ 1 (exp x))) 3))) 8) |
(- (* 1/8 (* (pow (sqrt 8) 2) (pow (+ (exp x) (/ 1 (exp x))) 3))) 8) |
(- (* 1/8 (* (pow (sqrt 8) 2) (pow (+ (exp x) (/ 1 (exp x))) 3))) 8) |
(- (* 1/8 (* (pow (sqrt 8) 2) (pow (+ (exp x) (/ 1 (exp x))) 3))) 8) |
(* 1/8 (* (sqrt 8) (pow (+ (exp x) (/ 1 (exp x))) 3))) |
(* 1/8 (* (sqrt 8) (pow (+ (exp x) (/ 1 (exp x))) 3))) |
(* 1/8 (* (sqrt 8) (pow (+ (exp x) (/ 1 (exp x))) 3))) |
(* 1/8 (* (sqrt 8) (pow (+ (exp x) (/ 1 (exp x))) 3))) |
(* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) |
(* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) |
(* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) |
(* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(* 1/20160 (pow x 8)) |
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/20160 (pow x 8)) |
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* 1/20160 (pow x 8)) |
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(- (+ (exp x) (exp (* -1 x))) 2) |
(* 1/12 (pow x 2)) |
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2)))) |
(* 1/12 x) |
(* 1/12 x) |
(* 1/12 x) |
(* 1/12 x) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
(- (+ (exp x) (/ 1 (exp 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)))) |
(+ (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(+ (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(+ (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(+ (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(+ 4 (* 4 (+ (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (* 1/2 (+ (exp x) (/ 1 (exp x))))))) |
(+ 4 (* 4 (+ (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (* 1/2 (+ (exp x) (/ 1 (exp x))))))) |
(+ 4 (* 4 (+ (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (* 1/2 (+ (exp x) (/ 1 (exp x))))))) |
(+ 4 (* 4 (+ (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (* 1/2 (+ (exp x) (/ 1 (exp x))))))) |
(/ (- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) (+ 4 (* 4 (+ (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (* 1/2 (+ (exp x) (/ 1 (exp x)))))))) |
(/ (- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) (+ 4 (* 4 (+ (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (* 1/2 (+ (exp x) (/ 1 (exp x)))))))) |
(/ (- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) (+ 4 (* 4 (+ (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (* 1/2 (+ (exp x) (/ 1 (exp x)))))))) |
(/ (- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) (+ 4 (* 4 (+ (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (* 1/2 (+ (exp x) (/ 1 (exp x)))))))) |
(- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) |
(- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) |
(- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) |
(- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) |
(+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2))) |
(+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2))) |
(+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2))) |
(+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2))) |
(* 2 (+ (exp x) (/ 1 (exp x)))) |
(* 2 (+ (exp x) (/ 1 (exp x)))) |
(* 2 (+ (exp x) (/ 1 (exp x)))) |
(* 2 (+ (exp x) (/ 1 (exp x)))) |
(+ 4 (* 2 (+ (exp x) (/ 1 (exp x))))) |
(+ 4 (* 2 (+ (exp x) (/ 1 (exp x))))) |
(+ 4 (* 2 (+ (exp x) (/ 1 (exp x))))) |
(+ 4 (* 2 (+ (exp x) (/ 1 (exp x))))) |
(/ (- (* 1/8 (* (pow (sqrt 8) 2) (pow (+ (exp x) (/ 1 (exp x))) 3))) 8) (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2)))) |
(/ (- (* 1/8 (* (pow (sqrt 8) 2) (pow (+ (exp x) (/ 1 (exp x))) 3))) 8) (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2)))) |
(/ (- (* 1/8 (* (pow (sqrt 8) 2) (pow (+ (exp x) (/ 1 (exp x))) 3))) 8) (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2)))) |
(/ (- (* 1/8 (* (pow (sqrt 8) 2) (pow (+ (exp x) (/ 1 (exp x))) 3))) 8) (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2)))) |
(* 1/20160 (pow x 4)) |
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(* 1/20160 (pow x 2)) |
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(* 1/12 (pow x 4)) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3)) |
(* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3)) |
(* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3)) |
(* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3)) |
(- (* 1/8 (* (pow (sqrt 8) 2) (pow (+ (exp x) (/ 1 (exp x))) 3))) 8) |
(- (* 1/8 (* (pow (sqrt 8) 2) (pow (+ (exp x) (/ 1 (exp x))) 3))) 8) |
(- (* 1/8 (* (pow (sqrt 8) 2) (pow (+ (exp x) (/ 1 (exp x))) 3))) 8) |
(- (* 1/8 (* (pow (sqrt 8) 2) (pow (+ (exp x) (/ 1 (exp x))) 3))) 8) |
(* 1/8 (* (sqrt 8) (pow (+ (exp x) (/ 1 (exp x))) 3))) |
(* 1/8 (* (sqrt 8) (pow (+ (exp x) (/ 1 (exp x))) 3))) |
(* 1/8 (* (sqrt 8) (pow (+ (exp x) (/ 1 (exp x))) 3))) |
(* 1/8 (* (sqrt 8) (pow (+ (exp x) (/ 1 (exp x))) 3))) |
(* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) |
(* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) |
(* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) |
(* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) |
| Outputs |
|---|
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) |
(* 1/12 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)) |
(* (pow x 4) (+ 1/12 (* 1/360 (pow x 2)))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))) |
(* (pow x 4) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64))) |
(* (pow x 4) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64))) |
(* 1/12 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)) |
(* (pow x 4) (+ 1/12 (* 1/360 (pow x 2)))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))) |
(* (pow x 4) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64))) |
(* (pow x 4) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/12 (pow x 2))) |
(fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* 1/12 (pow x 2))) |
(fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* 1/12 (pow x 2))) |
(fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(* 1/12 x) |
(*.f64 #s(literal 1/12 binary64) x) |
(* 1/12 x) |
(*.f64 #s(literal 1/12 binary64) x) |
(* 1/12 x) |
(*.f64 #s(literal 1/12 binary64) x) |
(* 1/12 x) |
(*.f64 #s(literal 1/12 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) (+ 1 (* 1/12 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (pow x 2))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 3/2 (pow x 2))) |
(fma.f64 #s(literal 3/2 binary64) (*.f64 x x) #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (+ 3/2 (* 3/8 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 3/8 binary64) (*.f64 x x) #s(literal 3/2 binary64)) (*.f64 x x) #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (+ 3/2 (* (pow x 2) (+ 3/8 (* 11/240 (pow x 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 11/240 binary64) (*.f64 x x) #s(literal 3/8 binary64)) (*.f64 x x) #s(literal 3/2 binary64)) (*.f64 x x) #s(literal 2 binary64)) |
12 |
#s(literal 12 binary64) |
(+ 12 (* 6 (pow x 2))) |
(fma.f64 #s(literal 6 binary64) (*.f64 x x) #s(literal 12 binary64)) |
(+ 12 (* (pow x 2) (+ 6 (* 3/2 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 3/2 binary64) (*.f64 x x) #s(literal 6 binary64)) (*.f64 x x) #s(literal 12 binary64)) |
(+ 12 (* (pow x 2) (+ 6 (* (pow x 2) (+ 3/2 (* 11/60 (pow x 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 11/60 binary64) (*.f64 x x) #s(literal 3/2 binary64)) (*.f64 x x) #s(literal 6 binary64)) (*.f64 x x) #s(literal 12 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) |
(* 12 (pow x 2)) |
(*.f64 #s(literal 12 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 12 (* 7 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 7 binary64) (*.f64 x x) #s(literal 12 binary64)) x) x) |
(* (pow x 2) (+ 12 (* (pow x 2) (+ 7 (* 61/30 (pow x 2)))))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 61/30 binary64) (*.f64 x x) #s(literal 7 binary64)) (*.f64 x x) #s(literal 12 binary64)) x) x) |
(* (pow x 2) (+ 12 (* (pow x 2) (+ 7 (* (pow x 2) (+ 61/30 (* 547/1680 (pow x 2)))))))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 547/1680 binary64) (*.f64 x x) #s(literal 61/30 binary64)) (*.f64 x x) #s(literal 7 binary64)) (*.f64 x x) #s(literal 12 binary64)) x) x) |
12 |
#s(literal 12 binary64) |
(+ 12 (* 6 (pow x 2))) |
(fma.f64 #s(literal 6 binary64) (*.f64 x x) #s(literal 12 binary64)) |
(+ 12 (* (pow x 2) (+ 6 (* 3/2 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 3/2 binary64) (*.f64 x x) #s(literal 6 binary64)) (*.f64 x x) #s(literal 12 binary64)) |
(+ 12 (* (pow x 2) (+ 6 (* (pow x 2) (+ 3/2 (* 11/60 (pow x 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 11/60 binary64) (*.f64 x x) #s(literal 3/2 binary64)) (*.f64 x x) #s(literal 6 binary64)) (*.f64 x x) #s(literal 12 binary64)) |
4 |
#s(literal 4 binary64) |
(+ 4 (* 2 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 4 binary64)) |
(+ 4 (* (pow x 2) (+ 2 (* 1/6 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x x) #s(literal 4 binary64)) |
(+ 4 (* (pow x 2) (+ 2 (* (pow x 2) (+ 1/6 (* 1/180 (pow x 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x x) #s(literal 4 binary64)) |
8 |
#s(literal 8 binary64) |
(+ 8 (* 2 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 8 binary64)) |
(+ 8 (* (pow x 2) (+ 2 (* 1/6 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x x) #s(literal 8 binary64)) |
(+ 8 (* (pow x 2) (+ 2 (* (pow x 2) (+ 1/6 (* 1/180 (pow x 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x x) #s(literal 8 binary64)) |
(* 1/12 (- (pow (sqrt 8) 2) 8)) |
#s(literal 0 binary64) |
(+ (* 1/12 (- (pow (sqrt 8) 2) 8)) (* (pow x 2) (- (* 1/8 (pow (sqrt 8) 2)) (* 1/24 (- (pow (sqrt 8) 2) 8))))) |
(*.f64 x x) |
(+ (* 1/12 (- (pow (sqrt 8) 2) 8)) (* (pow x 2) (- (+ (* 1/8 (pow (sqrt 8) 2)) (* (pow x 2) (- (* 7/96 (pow (sqrt 8) 2)) (+ (* 1/96 (- (pow (sqrt 8) 2) 8)) (* 1/2 (- (* 1/8 (pow (sqrt 8) 2)) (* 1/24 (- (pow (sqrt 8) 2) 8)))))))) (* 1/24 (- (pow (sqrt 8) 2) 8))))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)) |
(+ (* 1/12 (- (pow (sqrt 8) 2) 8)) (* (pow x 2) (- (+ (* 1/8 (pow (sqrt 8) 2)) (* (pow x 2) (- (+ (* 7/96 (pow (sqrt 8) 2)) (* (pow x 2) (- (* 61/2880 (pow (sqrt 8) 2)) (+ (* 11/8640 (- (pow (sqrt 8) 2) 8)) (+ (* 1/8 (- (* 1/8 (pow (sqrt 8) 2)) (* 1/24 (- (pow (sqrt 8) 2) 8)))) (* 1/2 (- (* 7/96 (pow (sqrt 8) 2)) (+ (* 1/96 (- (pow (sqrt 8) 2) 8)) (* 1/2 (- (* 1/8 (pow (sqrt 8) 2)) (* 1/24 (- (pow (sqrt 8) 2) 8)))))))))))) (+ (* 1/96 (- (pow (sqrt 8) 2) 8)) (* 1/2 (- (* 1/8 (pow (sqrt 8) 2)) (* 1/24 (- (pow (sqrt 8) 2) 8)))))))) (* 1/24 (- (pow (sqrt 8) 2) 8))))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) |
1/12 |
#s(literal 1/12 binary64) |
(+ 1/12 (* 1/360 (pow x 2))) |
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) |
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) |
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) |
1/360 |
#s(literal 1/360 binary64) |
(+ 1/360 (* 1/20160 (pow x 2))) |
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) |
(+ 1/360 (* 1/20160 (pow x 2))) |
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) |
(+ 1/360 (* 1/20160 (pow x 2))) |
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* 1/12 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 3/2 (pow x 2))) |
(fma.f64 #s(literal 3/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 3/2 (* 7/8 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 7/8 binary64) (*.f64 x x) #s(literal 3/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 3/2 (* (pow x 2) (+ 7/8 (* 61/240 (pow x 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 61/240 binary64) (*.f64 x x) #s(literal 7/8 binary64)) (*.f64 x x) #s(literal 3/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(- (pow (sqrt 8) 2) 8) |
#s(literal 0 binary64) |
(- (+ (* 3/2 (* (pow x 2) (pow (sqrt 8) 2))) (pow (sqrt 8) 2)) 8) |
(*.f64 #s(literal 12 binary64) (*.f64 x x)) |
(- (+ (* (pow x 2) (+ (* 7/8 (* (pow x 2) (pow (sqrt 8) 2))) (* 3/2 (pow (sqrt 8) 2)))) (pow (sqrt 8) 2)) 8) |
(*.f64 (*.f64 (fma.f64 #s(literal 7 binary64) (*.f64 x x) #s(literal 12 binary64)) x) x) |
(- (+ (* (pow x 2) (+ (* 3/2 (pow (sqrt 8) 2)) (* (pow x 2) (+ (* 61/240 (* (pow x 2) (pow (sqrt 8) 2))) (* 7/8 (pow (sqrt 8) 2)))))) (pow (sqrt 8) 2)) 8) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 61/30 binary64) (*.f64 x x) #s(literal 7 binary64)) (*.f64 x x) #s(literal 12 binary64)) x) x) |
(sqrt 8) |
(sqrt.f64 #s(literal 8 binary64)) |
(+ (sqrt 8) (* 3/2 (* (pow x 2) (sqrt 8)))) |
(*.f64 (fma.f64 #s(literal 3/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (sqrt.f64 #s(literal 8 binary64))) |
(+ (sqrt 8) (* (pow x 2) (+ (* 7/8 (* (pow x 2) (sqrt 8))) (* 3/2 (sqrt 8))))) |
(*.f64 (sqrt.f64 #s(literal 8 binary64)) (fma.f64 (fma.f64 #s(literal 7/8 binary64) (*.f64 x x) #s(literal 3/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(+ (sqrt 8) (* (pow x 2) (+ (* 3/2 (sqrt 8)) (* (pow x 2) (+ (* 61/240 (* (pow x 2) (sqrt 8))) (* 7/8 (sqrt 8))))))) |
(fma.f64 (*.f64 (sqrt.f64 #s(literal 8 binary64)) (fma.f64 (fma.f64 #s(literal 61/240 binary64) (*.f64 x x) #s(literal 7/8 binary64)) (*.f64 x x) #s(literal 3/2 binary64))) (*.f64 x x) (sqrt.f64 #s(literal 8 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (pow x 2)) |
(fma.f64 x x #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1 (* 1/3 (pow x 2))))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3 binary64) (fma.f64 x x #s(literal 1 binary64))) |
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/3 (* 2/45 (pow x 2))))))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 2/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (fma.f64 x x #s(literal 1 binary64))) |
(- (+ (exp x) (exp (neg x))) 2) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64)) |
(- (+ (exp x) (exp (neg x))) 2) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64)) |
(- (+ (exp x) (exp (neg x))) 2) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64)) |
(- (+ (exp x) (exp (neg x))) 2) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64)) |
(* 1/20160 (pow x 8)) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64)) |
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) #s(literal 1/20160 binary64)) (pow.f64 x #s(literal 8 binary64))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) #s(literal 1/20160 binary64))) (pow.f64 x #s(literal 8 binary64))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/20160 binary64)) (+.f64 (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/360 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 8 binary64))) |
(* 1/20160 (pow x 8)) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64)) |
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) #s(literal 1/20160 binary64)) (pow.f64 x #s(literal 8 binary64))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) #s(literal 1/20160 binary64))) (pow.f64 x #s(literal 8 binary64))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) #s(literal 1/20160 binary64))) (pow.f64 x #s(literal 8 binary64))) |
(* 1/20160 (pow x 8)) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64)) |
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) #s(literal 1/20160 binary64)) (pow.f64 x #s(literal 8 binary64))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) #s(literal 1/20160 binary64))) (pow.f64 x #s(literal 8 binary64))) |
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) #s(literal 1/20160 binary64))) (pow.f64 x #s(literal 8 binary64))) |
(- (+ (exp x) (exp (neg x))) 2) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64)) |
(- (+ (exp x) (exp (neg x))) 2) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64)) |
(- (+ (exp x) (exp (neg x))) 2) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64)) |
(- (+ (exp x) (exp (neg x))) 2) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64)) |
(* 1/12 (pow x 2)) |
(*.f64 #s(literal 1/12 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2)))) |
(fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2)))) |
(fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2)))) |
(fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(* 1/12 x) |
(*.f64 #s(literal 1/12 binary64) x) |
(* 1/12 x) |
(*.f64 #s(literal 1/12 binary64) x) |
(* 1/12 x) |
(*.f64 #s(literal 1/12 binary64) x) |
(* 1/12 x) |
(*.f64 #s(literal 1/12 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) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64)) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64)) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64)) |
(- (+ (exp x) (/ 1 (exp x))) 2) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64)) |
(+ (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 #s(literal 1/4 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))) |
(+ (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 #s(literal 1/4 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))) |
(+ (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 #s(literal 1/4 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))) |
(+ (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 #s(literal 1/4 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))) |
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(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (fma.f64 #s(literal 1/4 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))) |
(+ 4 (* 4 (+ (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (* 1/2 (+ (exp x) (/ 1 (exp x))))))) |
(fma.f64 (+.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 4 binary64)) |
(+ 4 (* 4 (+ (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (* 1/2 (+ (exp x) (/ 1 (exp x))))))) |
(fma.f64 (+.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 4 binary64)) |
(+ 4 (* 4 (+ (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (* 1/2 (+ (exp x) (/ 1 (exp x))))))) |
(fma.f64 (+.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 4 binary64)) |
(+ 4 (* 4 (+ (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (* 1/2 (+ (exp x) (/ 1 (exp x))))))) |
(fma.f64 (+.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 4 binary64)) |
(/ (- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) (+ 4 (* 4 (+ (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (* 1/2 (+ (exp x) (/ 1 (exp x)))))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (+.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 4 binary64))) |
(/ (- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) (+ 4 (* 4 (+ (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (* 1/2 (+ (exp x) (/ 1 (exp x)))))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (+.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 4 binary64))) |
(/ (- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) (+ 4 (* 4 (+ (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (* 1/2 (+ (exp x) (/ 1 (exp x)))))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (+.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 4 binary64))) |
(/ (- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) (+ 4 (* 4 (+ (* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) (* 1/2 (+ (exp x) (/ 1 (exp x)))))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (+.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 4 binary64))) |
(- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) |
(-.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64)) |
(- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) |
(-.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64)) |
(- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) |
(-.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64)) |
(- (pow (+ (exp x) (/ 1 (exp x))) 3) 8) |
(-.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64)) |
(+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2))) |
(fma.f64 (+.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 4 binary64)) |
(+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2))) |
(fma.f64 (+.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 4 binary64)) |
(+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2))) |
(fma.f64 (+.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 4 binary64)) |
(+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2))) |
(fma.f64 (+.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 4 binary64)) |
(* 2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64)) |
(* 2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64)) |
(* 2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64)) |
(* 2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64)) |
(+ 4 (* 2 (+ (exp x) (/ 1 (exp x))))) |
(fma.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64) #s(literal 4 binary64)) |
(+ 4 (* 2 (+ (exp x) (/ 1 (exp x))))) |
(fma.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64) #s(literal 4 binary64)) |
(+ 4 (* 2 (+ (exp x) (/ 1 (exp x))))) |
(fma.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64) #s(literal 4 binary64)) |
(+ 4 (* 2 (+ (exp x) (/ 1 (exp x))))) |
(fma.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64) #s(literal 4 binary64)) |
(/ (- (* 1/8 (* (pow (sqrt 8) 2) (pow (+ (exp x) (/ 1 (exp x))) 3))) 8) (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2)))) |
(/.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (+.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 4 binary64))) |
(/ (- (* 1/8 (* (pow (sqrt 8) 2) (pow (+ (exp x) (/ 1 (exp x))) 3))) 8) (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2)))) |
(/.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (+.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 4 binary64))) |
(/ (- (* 1/8 (* (pow (sqrt 8) 2) (pow (+ (exp x) (/ 1 (exp x))) 3))) 8) (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2)))) |
(/.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (+.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 4 binary64))) |
(/ (- (* 1/8 (* (pow (sqrt 8) 2) (pow (+ (exp x) (/ 1 (exp x))) 3))) 8) (+ 4 (+ (* 2 (+ (exp x) (/ 1 (exp x)))) (pow (+ (exp x) (/ 1 (exp x))) 2)))) |
(/.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (+.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 4 binary64))) |
(* 1/20160 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/20160 binary64)) |
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) x) x) |
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) |
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2)))))) |
(fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) |
(* 1/20160 (pow x 2)) |
(*.f64 #s(literal 1/20160 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) |
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) |
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) |
(* 1/12 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)) |
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)) |
(* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3)) |
(*.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) |
(* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3)) |
(*.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) |
(* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3)) |
(*.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) |
(* 1/8 (pow (+ (exp x) (/ 1 (exp x))) 3)) |
(*.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) |
(- (* 1/8 (* (pow (sqrt 8) 2) (pow (+ (exp x) (/ 1 (exp x))) 3))) 8) |
(-.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64)) |
(- (* 1/8 (* (pow (sqrt 8) 2) (pow (+ (exp x) (/ 1 (exp x))) 3))) 8) |
(-.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64)) |
(- (* 1/8 (* (pow (sqrt 8) 2) (pow (+ (exp x) (/ 1 (exp x))) 3))) 8) |
(-.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64)) |
(- (* 1/8 (* (pow (sqrt 8) 2) (pow (+ (exp x) (/ 1 (exp x))) 3))) 8) |
(-.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64)) |
(* 1/8 (* (sqrt 8) (pow (+ (exp x) (/ 1 (exp x))) 3))) |
(*.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 8 binary64))) (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64))) |
(* 1/8 (* (sqrt 8) (pow (+ (exp x) (/ 1 (exp x))) 3))) |
(*.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 8 binary64))) (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64))) |
(* 1/8 (* (sqrt 8) (pow (+ (exp x) (/ 1 (exp x))) 3))) |
(*.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 8 binary64))) (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64))) |
(* 1/8 (* (sqrt 8) (pow (+ (exp x) (/ 1 (exp x))) 3))) |
(*.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 8 binary64))) (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 3 binary64))) |
(* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) |
(*.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) |
(*.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) |
(*.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(* 1/4 (pow (+ (exp x) (/ 1 (exp x))) 2)) |
(*.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
| 4 352× | lower-*.f32 |
| 4 338× | lower-*.f64 |
| 4 120× | lower-fma.f32 |
| 4 100× | lower-fma.f64 |
| 3 254× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 327 |
| 0 | 90 | 301 |
| 1 | 406 | 291 |
| 2 | 2959 | 291 |
| 0 | 8820 | 280 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)))))) |
(fma.f64 x x #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64))))) |
#s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x))) |
(fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) |
(*.f64 #s(literal 1/12 binary64) x) |
(*.f64 x x) |
(fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) |
(cosh.f64 x) |
(fma.f64 (cosh.f64 x) (cosh.f64 x) (cosh.f64 x)) |
(fma.f64 #s(literal 4 binary64) (fma.f64 (cosh.f64 x) (cosh.f64 x) (cosh.f64 x)) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) (fma.f64 #s(literal 4 binary64) (fma.f64 (cosh.f64 x) (cosh.f64 x) (cosh.f64 x)) #s(literal 4 binary64))) |
(fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) |
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) |
(+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) #s(literal -8 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))))) |
(fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) |
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x)) |
(pow.f64 (cosh.f64 x) #s(literal 3 binary64)) |
(fma.f64 (pow.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) #s(literal -8 binary64)) |
(pow.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) |
(pow.f64 (cosh.f64 x) #s(literal 2 binary64)) |
| Outputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 x x) #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) |
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(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 x x))) |
(fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 x x) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))) |
(+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 x x))) |
(+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)) (*.f64 (*.f64 x x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (cosh.f64 x)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cosh.f64 x)) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (cosh.f64 x) #s(literal 3/2 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3/2 binary64))) |
(*.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 1/8 binary64)) |
(*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (cosh.f64 x)) |
(*.f64 (cosh.f64 x) (pow.f64 (cosh.f64 x) #s(literal 2 binary64))) |
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 (cosh.f64 x))) |
(pow.f64 (pow.f64 (cosh.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (cosh.f64 x) #s(literal 4 binary64)) #s(literal 3/4 binary64)) |
(pow.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 3/2 binary64)) |
(pow.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) |
(pow.f64 (cosh.f64 x) #s(literal 3 binary64)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))) #s(literal -2 binary64)) |
(/.f64 (pow.f64 (neg.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal -8 binary64)) |
(/.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (pow.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64))) #s(literal -8 binary64)) |
(/.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 8 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64))) |
(exp.f64 (fma.f64 (log.f64 (cosh.f64 x)) #s(literal 3/2 binary64) (*.f64 (log.f64 (cosh.f64 x)) #s(literal 3/2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (cosh.f64 x)) #s(literal 2 binary64) (log.f64 (cosh.f64 x)))) |
(exp.f64 (+.f64 (log.f64 (cosh.f64 x)) (log.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64))))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (cosh.f64 x)) #s(literal 3/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (cosh.f64 x) #s(literal 3/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (cosh.f64 x)) #s(literal 3 binary64))) |
(*.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 6 binary64)) #s(literal 64 binary64) #s(literal -64 binary64)) (pow.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 8 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 9 binary64)) #s(literal 512 binary64) #s(literal -512 binary64)) (pow.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 6 binary64)) #s(literal 64 binary64) (-.f64 #s(literal 64 binary64) (*.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal -64 binary64)))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 8 binary64)) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 6 binary64)) #s(literal 64 binary64) #s(literal -64 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 6 binary64)) #s(literal 64 binary64) (-.f64 #s(literal 64 binary64) (*.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal -64 binary64)))) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 9 binary64)) #s(literal 512 binary64) #s(literal -512 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 #s(literal 64 binary64) (pow.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 6 binary64)))) (neg.f64 (-.f64 #s(literal -8 binary64) (*.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 6 binary64)) #s(literal 64 binary64) #s(literal -64 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 8 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 9 binary64)) #s(literal 512 binary64) #s(literal -512 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 6 binary64)) #s(literal 64 binary64) (-.f64 #s(literal 64 binary64) (*.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal -64 binary64))))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 6 binary64)) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 8 binary64))) (*.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 8 binary64)) #s(literal 64 binary64))) (*.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 8 binary64)) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 8 binary64)))) |
(/.f64 (-.f64 #s(literal 64 binary64) (pow.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 6 binary64))) (-.f64 #s(literal -8 binary64) (*.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 6 binary64)) #s(literal 64 binary64) #s(literal -64 binary64))) (neg.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 8 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 9 binary64)) #s(literal 512 binary64) #s(literal -512 binary64))) (neg.f64 (+.f64 #s(literal 64 binary64) (-.f64 (pow.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 6 binary64)) (*.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal -64 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 9 binary64)) #s(literal 512 binary64) #s(literal -512 binary64))) (neg.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 6 binary64)) #s(literal 64 binary64) (-.f64 #s(literal 64 binary64) (*.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal -64 binary64)))))) |
(/.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 6 binary64)) #s(literal 64 binary64) #s(literal -64 binary64)) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 8 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 8 binary64)) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 6 binary64)) #s(literal 64 binary64) #s(literal -64 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 6 binary64)) #s(literal 64 binary64) (-.f64 #s(literal 64 binary64) (*.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal -64 binary64)))) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 9 binary64)) #s(literal 512 binary64) #s(literal -512 binary64))))) |
(/.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 9 binary64)) #s(literal 512 binary64) #s(literal -512 binary64)) (+.f64 #s(literal 64 binary64) (-.f64 (pow.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 6 binary64)) (*.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal -64 binary64))))) |
(/.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 9 binary64)) #s(literal 512 binary64) #s(literal -512 binary64)) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 6 binary64)) #s(literal 64 binary64) (-.f64 #s(literal 64 binary64) (*.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal -64 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 8 binary64)) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 6 binary64)) #s(literal 64 binary64) #s(literal -64 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 6 binary64)) #s(literal 64 binary64) (-.f64 #s(literal 64 binary64) (*.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal -64 binary64)))) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 9 binary64)) #s(literal 512 binary64) #s(literal -512 binary64)))) |
(fma.f64 (*.f64 #s(literal 8 binary64) (pow.f64 (cosh.f64 x) #s(literal 2 binary64))) (cosh.f64 x) #s(literal -8 binary64)) |
(fma.f64 (*.f64 #s(literal 8 binary64) (cosh.f64 x)) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal -8 binary64)) |
(fma.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 3/4 binary64)) (pow.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/4 binary64)) #s(literal -8 binary64)) |
(fma.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 3/8 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal 3/8 binary64)) #s(literal -8 binary64)) |
(fma.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 3/2 binary64)) #s(literal 8 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3/2 binary64)) #s(literal -8 binary64)) |
(fma.f64 (pow.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 3/2 binary64)) #s(literal -8 binary64)) |
(fma.f64 (pow.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/4 binary64)) (pow.f64 (*.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 3/4 binary64)) #s(literal -8 binary64)) |
(fma.f64 (pow.f64 #s(literal 4 binary64) #s(literal 3/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 3/8 binary64)) (pow.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64))) #s(literal -8 binary64)) |
(fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3/2 binary64)) (*.f64 (pow.f64 (cosh.f64 x) #s(literal 3/2 binary64)) #s(literal 8 binary64)) #s(literal -8 binary64)) |
(fma.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal -8 binary64)) |
(fma.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal -8 binary64)) |
(fma.f64 (pow.f64 #s(literal 4 binary64) #s(literal 3/4 binary64)) (pow.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) #s(literal -8 binary64)) |
(fma.f64 (pow.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 3/4 binary64)) #s(literal -8 binary64)) |
(fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) #s(literal 8 binary64)) #s(literal -8 binary64)) |
(fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) |
(fma.f64 (cosh.f64 x) (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 8 binary64)) #s(literal -8 binary64)) |
(fma.f64 #s(literal 8 binary64) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal -8 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 6 binary64)) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 8 binary64))) (/.f64 #s(literal 64 binary64) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 8 binary64)))) |
(+.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal -8 binary64)) |
(+.f64 #s(literal -8 binary64) (*.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64))) |
(*.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 3/8 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal 3/8 binary64))) |
(*.f64 (pow.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/4 binary64)) (pow.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/4 binary64))) |
(*.f64 (pow.f64 (cosh.f64 x) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 3/4 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 3/4 binary64))) |
(pow.f64 (exp.f64 #s(literal 3/2 binary64)) (fma.f64 (log.f64 (cosh.f64 x)) #s(literal 2 binary64) (log.f64 #s(literal 2 binary64)))) |
(pow.f64 (pow.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/4 binary64)) |
(pow.f64 (pow.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) |
(exp.f64 (fma.f64 (fma.f64 (log.f64 (cosh.f64 x)) #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 3/4 binary64) (*.f64 (fma.f64 (log.f64 (cosh.f64 x)) #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 3/4 binary64)))) |
(exp.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3/2 binary64) (*.f64 (log.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 3/2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3/2 binary64) (*.f64 (log.f64 (cosh.f64 x)) #s(literal 3 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 3/2 binary64) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3/2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (cosh.f64 x)) #s(literal 3 binary64) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3/2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (fma.f64 (log.f64 (cosh.f64 x)) #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 3/4 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 3/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/4 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (fma.f64 (log.f64 (cosh.f64 x)) #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 3/2 binary64))) |
(*.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/4 binary64)) |
(*.f64 (cosh.f64 x) (cosh.f64 x)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (cosh.f64 x))) |
(pow.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (cosh.f64 x) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal -4 binary64)) |
(/.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 4 binary64)) |
(/.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)))) |
Compiled 38 074 to 3 414 computations (91% saved)
15 alts after pruning (11 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 311 | 10 | 1 321 |
| Fresh | 2 | 1 | 3 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 316 | 15 | 1 331 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 52.0% | (fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) |
| 50.8% | (fma.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal -2 binary64)) | |
| 50.4% | (fma.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal -2 binary64)) | |
| 49.7% | (fma.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal -2 binary64)) | |
| 8.1% | (/.f64 (fma.f64 (pow.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) #s(literal -8 binary64)) (fma.f64 (cosh.f64 x) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64)) #s(literal 4 binary64))) | |
| 52.0% | (/.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) (fma.f64 (cosh.f64 x) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64)) #s(literal 4 binary64))) | |
| ✓ | 52.1% | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
| 52.0% | (*.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) (pow.f64 (fma.f64 (cosh.f64 x) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))) | |
| 48.2% | #s(approx (/ (+ (* (pow (* (pow (cosh x) 2) 2) 3/2) (pow 2 3/2)) -8) (+ (* (* 2 (cosh x)) (* 2 (cosh x))) (+ 4 (* (* 2 (cosh x)) 2)))) #s(literal 0 binary64)) | |
| 98.0% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)))) | |
| 98.9% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) (*.f64 x x))))) | |
| ✓ | 98.0% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x))) |
| 98.0% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) x) x)) | |
| 49.3% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 #s(approx (+ (* (* 1/12 x) x) 1) (*.f64 #s(literal 1/12 binary64) (*.f64 x x))) (*.f64 x x))) | |
| ✓ | 97.1% | #s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) |
Compiled 704 to 266 computations (62.2% saved)
| Inputs |
|---|
#s(approx (/ (+ (* (pow (* (pow (cosh x) 2) 2) 3/2) (pow 2 3/2)) -8) (+ (* (* 2 (cosh x)) (* 2 (cosh x))) (+ 4 (* (* 2 (cosh x)) 2)))) #s(literal 0 binary64)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) |
(fma.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal -2 binary64)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 #s(approx (+ (* (* 1/12 x) x) 1) (*.f64 #s(literal 1/12 binary64) (*.f64 x x))) (*.f64 x x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) x) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))) |
(fma.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal -2 binary64)) |
(fma.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal -2 binary64)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) (*.f64 x x))))) |
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64)) |
(fma.f64 (cosh.f64 x) #s(literal 2 binary64) #s(literal -2 binary64)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)))))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)))))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/12 binary64) (*.f64 x x)))) |
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
(-.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))) |
(-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 x x (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64)))))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64) (fma.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))))))) |
(/.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) (fma.f64 (cosh.f64 x) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64)) #s(literal 4 binary64))) |
(*.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) (pow.f64 (fma.f64 (cosh.f64 x) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))) |
(/.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) (fma.f64 #s(literal 4 binary64) (fma.f64 (cosh.f64 x) (cosh.f64 x) (cosh.f64 x)) #s(literal 4 binary64))) |
(/.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))))) |
(*.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 x)) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) (pow.f64 (fma.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) #s(literal -8 binary64)) (fma.f64 (cosh.f64 x) (fma.f64 (cosh.f64 x) #s(literal 4 binary64) #s(literal 4 binary64)) #s(literal 4 binary64))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) #s(literal -8 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))))) |
| Outputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) (*.f64 x x))))) |
2 calls:
| 13.0ms | x |
| 7.0ms | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.9% | 1 | x |
| 98.9% | 1 | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
Compiled 9 to 8 computations (11.1% saved)
| Inputs |
|---|
#s(approx (/ (+ (* (pow (* (pow (cosh x) 2) 2) 3/2) (pow 2 3/2)) -8) (+ (* (* 2 (cosh x)) (* 2 (cosh x))) (+ 4 (* (* 2 (cosh x)) 2)))) #s(literal 0 binary64)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) |
(fma.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal -2 binary64)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 #s(approx (+ (* (* 1/12 x) x) 1) (*.f64 #s(literal 1/12 binary64) (*.f64 x x))) (*.f64 x x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) x) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))) |
(fma.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal -2 binary64)) |
(fma.f64 #s(approx (cosh x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal -2 binary64)) |
| Outputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)))) |
2 calls:
| 3.0ms | x |
| 3.0ms | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.0% | 1 | x |
| 98.0% | 1 | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
Compiled 9 to 8 computations (11.1% saved)
| Inputs |
|---|
#s(approx (/ (+ (* (pow (* (pow (cosh x) 2) 2) 3/2) (pow 2 3/2)) -8) (+ (* (* 2 (cosh x)) (* 2 (cosh x))) (+ 4 (* (* 2 (cosh x)) 2)))) #s(literal 0 binary64)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) |
(fma.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal -2 binary64)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 #s(approx (+ (* (* 1/12 x) x) 1) (*.f64 #s(literal 1/12 binary64) (*.f64 x x))) (*.f64 x x))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) x) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x))) |
| Outputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) x) x)) |
2 calls:
| 2.0ms | x |
| 2.0ms | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.0% | 1 | x |
| 98.0% | 1 | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
Compiled 9 to 8 computations (11.1% saved)
| Inputs |
|---|
#s(approx (/ (+ (* (pow (* (pow (cosh x) 2) 2) 3/2) (pow 2 3/2)) -8) (+ (* (* 2 (cosh x)) (* 2 (cosh x))) (+ 4 (* (* 2 (cosh x)) 2)))) #s(literal 0 binary64)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) |
(fma.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal -2 binary64)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 #s(approx (+ (* (* 1/12 x) x) 1) (*.f64 #s(literal 1/12 binary64) (*.f64 x x))) (*.f64 x x))) |
| Outputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) |
2 calls:
| 5.0ms | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.1% | 1 | x |
| 97.1% | 1 | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
Compiled 9 to 8 computations (11.1% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (/ (+ (* (pow (* (pow (cosh x) 2) 2) 3/2) (pow 2 3/2)) -8) (+ (* (* 2 (cosh x)) (* 2 (cosh x))) (+ 4 (* (* 2 (cosh x)) 2)))) #s(literal 0 binary64)) |
| Outputs |
|---|
#s(approx (/ (+ (* (pow (* (pow (cosh x) 2) 2) 3/2) (pow 2 3/2)) -8) (+ (* (* 2 (cosh x)) (* 2 (cosh x))) (+ 4 (* (* 2 (cosh x)) 2)))) #s(literal 0 binary64)) |
2 calls:
| 1.0ms | x |
| 1.0ms | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.2% | 1 | x |
| 48.2% | 1 | (+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
Compiled 9 to 8 computations (11.1% saved)
| 1× | egg-herbie |
| 14× | *-commutative-binary64-*.f64 |
| 2× | 1-exp-binary32-exp.f32 |
| 2× | 1-exp-binary64-exp.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 136 |
| 1 | 66 | 136 |
| 1× | saturated |
| Inputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) (*.f64 x x))))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) x) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) |
#s(approx (/ (+ (* (pow (* (pow (cosh x) 2) 2) 3/2) (pow 2 3/2)) -8) (+ (* (* 2 (cosh x)) (* 2 (cosh x))) (+ 4 (* (* 2 (cosh x)) 2)))) #s(literal 0 binary64)) |
| Outputs |
|---|
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x #s(approx (+ (* (pow x 8) 1/20160) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) (*.f64 x x))))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)))) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) x) x)) |
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x)) |
#s(approx (/ (+ (* (pow (* (pow (cosh x) 2) 2) 3/2) (pow 2 3/2)) -8) (+ (* (* 2 (cosh x)) (* 2 (cosh x))) (+ 4 (* (* 2 (cosh x)) 2)))) #s(literal 0 binary64)) |
| 21 192× | lower-fma.f64 |
| 21 192× | lower-fma.f32 |
| 17 068× | lower-fma.f64 |
| 17 068× | lower-fma.f32 |
| 13 916× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 265 | 3536 |
| 1 | 790 | 3451 |
| 2 | 2597 | 3249 |
| 3 | 5784 | 3247 |
| 4 | 7025 | 3247 |
| 0 | 8149 | 3051 |
| 0 | 55 | 327 |
| 0 | 90 | 301 |
| 1 | 406 | 291 |
| 2 | 2959 | 291 |
| 0 | 8820 | 280 |
| 0 | 7 | 17 |
| 0 | 12 | 17 |
| 1 | 51 | 17 |
| 2 | 394 | 17 |
| 3 | 6866 | 15 |
| 0 | 8047 | 14 |
| 0 | 41 | 261 |
| 0 | 70 | 253 |
| 1 | 313 | 243 |
| 2 | 2536 | 243 |
| 0 | 8511 | 236 |
| 0 | 36 | 187 |
| 0 | 58 | 183 |
| 1 | 257 | 166 |
| 2 | 2057 | 166 |
| 0 | 8298 | 155 |
| 0 | 60 | 269 |
| 1 | 168 | 268 |
| 2 | 397 | 262 |
| 3 | 1060 | 262 |
| 4 | 1759 | 262 |
| 5 | 3027 | 262 |
| 6 | 3849 | 262 |
| 7 | 5284 | 262 |
| 8 | 6683 | 262 |
| 0 | 8227 | 241 |
| 0 | 153 | 2698 |
| 1 | 448 | 2650 |
| 2 | 1210 | 2568 |
| 3 | 3503 | 2568 |
| 4 | 6076 | 2568 |
| 5 | 7841 | 2568 |
| 0 | 8128 | 2401 |
| 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× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 198 to 124 computations (37.4% saved)
(abs x)
Compiled 194 to 102 computations (47.4% saved)
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