
Time bar (total: 6.4s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 75.2% | 24.8% | 0% | 0% | 0% | 0 |
| 0% | 0% | 75.2% | 24.8% | 0% | 0% | 0% | 1 |
| 50% | 37.6% | 37.6% | 24.8% | 0% | 0% | 0% | 2 |
| 75% | 56.4% | 18.8% | 24.8% | 0% | 0% | 0% | 3 |
| 87.5% | 65.8% | 9.4% | 24.8% | 0% | 0% | 0% | 4 |
| 93.8% | 70.5% | 4.7% | 24.8% | 0% | 0% | 0% | 5 |
| 96.9% | 72.8% | 2.3% | 24.8% | 0% | 0% | 0% | 6 |
| 98.4% | 74% | 1.2% | 24.8% | 0% | 0% | 0% | 7 |
| 99.2% | 74.6% | 0.6% | 24.8% | 0% | 0% | 0% | 8 |
| 99.6% | 74.9% | 0.3% | 24.8% | 0% | 0% | 0% | 9 |
| 99.8% | 75% | 0.1% | 24.8% | 0% | 0% | 0% | 10 |
| 99.9% | 75.1% | 0.1% | 24.8% | 0% | 0% | 0% | 11 |
| 100% | 75.1% | 0% | 24.8% | 0% | 0% | 0% | 12 |
Compiled 11 to 7 computations (36.4% saved)
| 578.0ms | 8 256× | 0 | valid |
ival-exp: 130.0ms (48% of total)ival-div: 58.0ms (21.4% of total)ival-expm1: 47.0ms (17.3% of total)ival->: 25.0ms (9.2% of total)exact: 7.0ms (2.6% of total)ival-assert: 4.0ms (1.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 155 | 0 | - | 0 | - | (-.f64 (exp.f64 x) #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (exp.f64 x) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 (exp.f64 x) #s(literal 1 binary64)) | cancellation | 155 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 155 | 0 |
| - | 0 | 101 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 155 | 0 | 0 |
| - | 0 | 0 | 101 |
| number | freq |
|---|---|
| 0 | 101 |
| 1 | 155 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 23.0ms | 512× | 0 | valid |
Compiled 56 to 24 computations (57.1% saved)
ival-div: 4.0ms (33.8% of total)ival-exp: 4.0ms (33.8% of total)ival-expm1: 3.0ms (25.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 19 |
| 1 | 22 | 19 |
| 2 | 42 | 18 |
| 3 | 78 | 18 |
| 4 | 132 | 12 |
| 5 | 242 | 12 |
| 6 | 343 | 12 |
| 7 | 448 | 12 |
| 8 | 565 | 12 |
| 9 | 606 | 12 |
| 10 | 634 | 12 |
| 11 | 684 | 12 |
| 0 | 5 | 7 |
| 0 | 8 | 7 |
| 1 | 13 | 7 |
| 2 | 14 | 7 |
| 0 | 14 | 5 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| Outputs |
|---|
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
Compiled 7 to 5 computations (28.6% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 42.6% | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
Compiled 7 to 5 computations (28.6% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (exp.f64 x) | |
| cost-diff | 0 | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) | |
| cost-diff | 192 | (-.f64 (exp.f64 x) #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 15 |
| 0 | 8 | 15 |
| 1 | 13 | 15 |
| 2 | 14 | 15 |
| 0 | 14 | 11 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
(exp.f64 x) |
x |
(-.f64 (exp.f64 x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
| Outputs |
|---|
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(exp.f64 x) |
x |
(-.f64 (exp.f64 x) #s(literal 1 binary64)) |
(expm1.f64 x) |
#s(literal 1 binary64) |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (exp.f64 x) | |
| accuracy | 0.015625 | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) | |
| accuracy | 35.61770973939883 | (-.f64 (exp.f64 x) #s(literal 1 binary64)) |
| 16.0ms | 256× | 0 | valid |
Compiled 32 to 12 computations (62.5% saved)
ival-exp: 6.0ms (61.7% of total)ival-div: 2.0ms (20.6% of total)ival-expm1: 2.0ms (20.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 (exp.f64 x) #s(literal 1 binary64)) |
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
(exp.f64 x) |
| Outputs |
|---|
x |
(* x (+ 1 (* 1/2 x))) |
(* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) |
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) |
(/ 1 x) |
(/ (+ 1 (* 1/2 x)) x) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(- (exp x) 1) |
(/ (exp x) (- (exp x) 1)) |
(exp x) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | ((- (exp x) 1) (/ (exp x) (- (exp x) 1)) (exp x)) |
| 1.0ms | x | @ | -inf | ((- (exp x) 1) (/ (exp x) (- (exp x) 1)) (exp x)) |
| 1.0ms | x | @ | 0 | ((- (exp x) 1) (/ (exp x) (- (exp x) 1)) (exp x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 111 |
| 1 | 122 | 111 |
| 2 | 258 | 111 |
| 3 | 574 | 111 |
| 4 | 829 | 111 |
| 5 | 972 | 111 |
| 6 | 994 | 111 |
| 7 | 1088 | 105 |
| 8 | 1506 | 105 |
| 9 | 1981 | 105 |
| 10 | 3369 | 105 |
| 11 | 4928 | 105 |
| 12 | 5214 | 105 |
| 13 | 5579 | 105 |
| 14 | 6128 | 105 |
| 15 | 6868 | 105 |
| 0 | 10258 | 87 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* 1/2 x))) |
(* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) |
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) |
(/ 1 x) |
(/ (+ 1 (* 1/2 x)) x) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(- (exp x) 1) |
(/ (exp x) (- (exp x) 1)) |
(exp x) |
| Outputs |
|---|
x |
(* x (+ 1 (* 1/2 x))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) |
(* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) |
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* 1/2 x)) x) |
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) |
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) |
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)) |
(- (exp x) 1) |
(expm1.f64 x) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(exp x) |
(exp.f64 x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 13 |
| 0 | 8 | 13 |
| 1 | 33 | 13 |
| 2 | 188 | 13 |
| 3 | 1808 | 13 |
| 0 | 8774 | 9 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (exp.f64 x) #s(literal 1 binary64)) |
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
(exp.f64 x) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 #s(literal 3 binary64) x))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (expm1.f64 (*.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (expm1.f64 (*.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (expm1.f64 x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (expm1.f64 x) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64)) (expm1.f64 x)) |
(*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (neg.f64 (expm1.f64 x))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) (-.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64)))) (-.f64 (*.f64 (exp.f64 x) (expm1.f64 x)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) (+.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal 6 binary64)))) (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (-.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (pow.f64 (exp.f64 x) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (expm1.f64 x)) |
(*.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (expm1.f64 x)) |
(*.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) |
(*.f64 (pow.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (expm1.f64 (*.f64 #s(literal 3 binary64) x))) |
(*.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (pow.f64 (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x))) (pow.f64 (neg.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (*.f64 (expm1.f64 x) (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (/.f64 (expm1.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (expm1.f64 x))) |
(*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) (pow.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (expm1.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (expm1.f64 x)) |
(pow.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (expm1.f64 x) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (expm1.f64 x) (expm1.f64 x) (*.f64 #s(literal 0 binary64) (neg.f64 (expm1.f64 x)))))) |
(/.f64 (fma.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -3 binary64)) (pow.f64 (neg.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))) (neg.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (neg.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))))))) |
(/.f64 (fma.f64 (pow.f64 (exp.f64 x) #s(literal 9 binary64)) (pow.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x) #s(literal 1 binary64)) #s(literal -3 binary64)) (pow.f64 (neg.f64 (pow.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (pow.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))) (neg.f64 (pow.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x) #s(literal 1 binary64))) (neg.f64 (pow.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))))))) |
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 6 binary64))) (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 9 binary64))) (pow.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64)))) (neg.f64 (fma.f64 (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (exp.f64 x) (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))))) |
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(/.f64 (neg.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) (neg.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 (neg.f64 (expm1.f64 x)) (/.f64 (neg.f64 (exp.f64 x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))))) (*.f64 (neg.f64 (expm1.f64 x)) (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (neg.f64 (expm1.f64 x)) (/.f64 (neg.f64 (exp.f64 x)) (expm1.f64 (*.f64 #s(literal 3 binary64) x))))) (*.f64 (neg.f64 (expm1.f64 x)) (pow.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (expm1.f64 x)) (*.f64 (neg.f64 (expm1.f64 x)) (neg.f64 (exp.f64 x)))) (*.f64 (neg.f64 (expm1.f64 x)) (expm1.f64 x))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (expm1.f64 (neg.f64 x))) (*.f64 (neg.f64 (expm1.f64 x)) #s(literal 1 binary64))) (*.f64 (neg.f64 (expm1.f64 x)) (expm1.f64 (neg.f64 x)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (expm1.f64 x))) (*.f64 (neg.f64 (expm1.f64 x)) (exp.f64 x))) (pow.f64 (expm1.f64 x) #s(literal 2 binary64))) |
(/.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (neg.f64 (expm1.f64 x))) |
(/.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))) |
(/.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (expm1.f64 x)) |
(/.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 3 binary64) x))) (-.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64)))) (-.f64 (*.f64 (exp.f64 x) (expm1.f64 x)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 3 binary64) x))) (+.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal 6 binary64)))) (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (-.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (pow.f64 (exp.f64 x) #s(literal 4 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x))) (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))) (neg.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)))) |
(/.f64 (*.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (neg.f64 (expm1.f64 x)))) |
(/.f64 (*.f64 (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 x))) |
(/.f64 (*.f64 (exp.f64 x) (-.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) (-.f64 (*.f64 (exp.f64 x) (expm1.f64 x)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (exp.f64 x) (+.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal 6 binary64)))) (*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (-.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (pow.f64 (exp.f64 x) #s(literal 4 binary64))))) |
(/.f64 (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) |
(/.f64 (*.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) (expm1.f64 (*.f64 #s(literal 3 binary64) x))) |
(/.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(/.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 3 binary64) x))) (pow.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(/.f64 (pow.f64 (expm1.f64 (neg.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (neg.f64 (exp.f64 (neg.f64 x)))) |
(/.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) (exp.f64 (neg.f64 x))) |
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (exp.f64 x)) (neg.f64 (expm1.f64 x))) |
(/.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (expm1.f64 x)) (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)) (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 x) (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (expm1.f64 (*.f64 #s(literal 2 binary64) x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (exp.f64 x) (expm1.f64 x)) #s(literal 1 binary64)) (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 3 binary64) x))) (-.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (-.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (pow.f64 (exp.f64 x) #s(literal 4 binary64))) (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 3 binary64) x))) (+.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal 6 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (neg.f64 (expm1.f64 x))) (*.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))) (*.f64 (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 x)) (*.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) (-.f64 (*.f64 (exp.f64 x) (expm1.f64 x)) #s(literal 1 binary64))) (*.f64 (exp.f64 x) (-.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (-.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (pow.f64 (exp.f64 x) #s(literal 4 binary64)))) (*.f64 (exp.f64 x) (+.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal 6 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 3 binary64) x))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 (neg.f64 x)))) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(neg.f64 (pow.f64 (expm1.f64 (neg.f64 x)) #s(literal -1 binary64))) |
(fma.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 4 binary64)))) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) (*.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x))))) |
(fma.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x))))) |
(fma.f64 (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) (*.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x))))) |
(fma.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64) (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (exp.f64 x))) |
(fma.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (exp.f64 x) (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 3 binary64) x))) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 3 binary64) x))) (exp.f64 x))) |
(fma.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 3 binary64) x))) (-.f64 (exp.f64 x) #s(literal -1 binary64)) (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 3 binary64) x))) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) |
(fma.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 3 binary64) x))) (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 3 binary64) x))) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(fma.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 3 binary64) x))) (*.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 3 binary64) x))))) |
(fma.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 x)) (*.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x))))) |
(fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 3 binary64) x))) (*.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 3 binary64) x))))) |
(fma.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 3 binary64) x))) (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 3 binary64) x))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (*.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x))))) |
(fma.f64 (exp.f64 x) (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)) (*.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x))))) |
(fma.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) |
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (expm1.f64 x)) #s(literal 1 binary64)) (/.f64 (pow.f64 (expm1.f64 (neg.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (expm1.f64 x)) (pow.f64 (expm1.f64 (neg.f64 x)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (expm1.f64 (neg.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (pow.f64 (expm1.f64 (neg.f64 x)) #s(literal -1 binary64))) |
(+.f64 (*.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) |
(+.f64 (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 3 binary64) x)))) (*.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 3 binary64) x))))) |
(+.f64 (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 3 binary64) x)))) (*.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 3 binary64) x))))) |
(+.f64 (*.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 3 binary64) x)))) (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 3 binary64) x))))) |
(+.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)) (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (exp.f64 x))) |
(+.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (exp.f64 x)) (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 3 binary64) x))) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))) (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 3 binary64) x))) (exp.f64 x))) |
(+.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 3 binary64) x))) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 3 binary64) x))) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) |
(+.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 3 binary64) x))) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 3 binary64) x))) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(+.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (*.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x))))) |
(exp.f64 (-.f64 (*.f64 (log.f64 (expm1.f64 x)) #s(literal -1 binary64)) (neg.f64 x))) |
(exp.f64 (fma.f64 (log.f64 (expm1.f64 x)) #s(literal -1 binary64) x)) |
(exp.f64 (+.f64 x (*.f64 (log.f64 (expm1.f64 x)) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (exp.f64 (neg.f64 x)))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x))) |
(*.f64 #s(literal 1 binary64) (exp.f64 x)) |
(*.f64 (exp.f64 x) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 x) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (exp.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) (*.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 x)))))) |
(/.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) |
(/.f64 (exp.f64 x) #s(literal 1 binary64)) |
(neg.f64 (neg.f64 (exp.f64 x))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 x))) |
(exp.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64))) |
(exp.f64 (*.f64 x #s(literal 1 binary64))) |
(exp.f64 x) |
Compiled 9 463 to 1 223 computations (87.1% saved)
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 379 | 6 | 385 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 380 | 6 | 386 |
| Status | Accuracy | Program |
|---|---|---|
| 100.0% | (/.f64 (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) | |
| ▶ | 100.0% | (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
| ▶ | 61.5% | #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) |
| ▶ | 61.6% | #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) |
| ▶ | 61.7% | #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) |
| ▶ | 61.4% | #s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) |
Compiled 156 to 118 computations (24.4% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) | |
| cost-diff | 0 | #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) | |
| cost-diff | 0 | #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | #s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (expm1.f64 (neg.f64 x)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 144 |
| 0 | 35 | 144 |
| 1 | 56 | 144 |
| 2 | 85 | 144 |
| 3 | 136 | 144 |
| 4 | 165 | 144 |
| 5 | 171 | 144 |
| 6 | 204 | 144 |
| 7 | 264 | 144 |
| 8 | 294 | 144 |
| 9 | 300 | 144 |
| 0 | 300 | 136 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
#s(literal -1 binary64) |
(expm1.f64 (neg.f64 x)) |
(neg.f64 x) |
x |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) |
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) |
#s(literal 1/2 binary64) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) |
#s(literal 1/12 binary64) |
x |
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) |
#s(literal 1/2 binary64) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) |
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) |
(*.f64 x x) |
x |
#s(literal -1/720 binary64) |
#s(literal 1/12 binary64) |
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) |
#s(literal 1/2 binary64) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
| Outputs |
|---|
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
#s(literal -1 binary64) |
(expm1.f64 (neg.f64 x)) |
(neg.f64 x) |
x |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) |
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) |
#s(literal 1/2 binary64) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) |
#s(literal 1/12 binary64) |
x |
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) |
#s(literal 1/2 binary64) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) |
(fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) |
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) |
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) |
(*.f64 x x) |
x |
#s(literal -1/720 binary64) |
#s(literal 1/12 binary64) |
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) |
#s(literal 1/2 binary64) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.0390625 | (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) | |
| accuracy | 0.05078125 | (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) | |
| accuracy | 24.626097550830863 | #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) | |
| accuracy | 0.0 | (/.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.0 | (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.17578125 | (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) | |
| accuracy | 24.59735655524464 | #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) | |
| accuracy | 0.0 | (/.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.0 | (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 24.68358793623305 | #s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) | |
| accuracy | 0.0 | (/.f64 #s(literal 1 binary64) x) | |
| accuracy | 24.509877334119967 | #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.0 | (neg.f64 x) | |
| accuracy | 0.0 | (expm1.f64 (neg.f64 x)) | |
| accuracy | 0.01171875 | (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
| 45.0ms | 256× | 0 | valid |
Compiled 265 to 46 computations (82.6% saved)
const: 8.0ms (25.9% of total)ival-mult: 6.0ms (19.4% of total)ival-div: 5.0ms (16.2% of total)ival-add: 4.0ms (12.9% of total)ival-expm1: 3.0ms (9.7% of total)ival-exp: 2.0ms (6.5% of total)ival-neg: 1.0ms (3.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
(expm1.f64 (neg.f64 x)) |
(neg.f64 x) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) |
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) |
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) |
(*.f64 x x) |
| Outputs |
|---|
(/ 1 x) |
(/ (+ 1 (* 1/2 x)) x) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) |
(* -1 x) |
(* x (- (* 1/2 x) 1)) |
(* x (- (* x (+ 1/2 (* -1/6 x))) 1)) |
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1)) |
1/12 |
(+ 1/12 (* -1/720 (pow x 2))) |
(pow x 2) |
(/ -1 (- (exp (neg x)) 1)) |
(- (exp (neg x)) 1) |
(/ (exp x) (- (exp x) 1)) |
1/2 |
(+ 1/2 (/ 1 x)) |
(* 1/12 x) |
(* x (+ 1/12 (* 1/2 (/ 1 x)))) |
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(* -1/720 (pow x 3)) |
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720)) |
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720)) |
(* -1/720 (pow x 2)) |
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(/ -1 (- (exp (* -1 x)) 1)) |
(- (exp (* -1 x)) 1) |
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12))) |
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2)))))) |
(* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2)))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | ((/ -1 (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (neg x) (/ (exp x) (- (exp x) 1)) (/ 1 x) (/ (exp x) (- (exp x) 1)) (+ 1/2 (/ 1 x)) (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (/ (exp x) (- (exp x) 1)) (+ (* (+ (* (* x x) -1/720) 1/12) x) (+ 1/2 (/ 1 x))) (+ (* (* x x) -1/720) 1/12) (* x x)) |
| 2.0ms | x | @ | -inf | ((/ -1 (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (neg x) (/ (exp x) (- (exp x) 1)) (/ 1 x) (/ (exp x) (- (exp x) 1)) (+ 1/2 (/ 1 x)) (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (/ (exp x) (- (exp x) 1)) (+ (* (+ (* (* x x) -1/720) 1/12) x) (+ 1/2 (/ 1 x))) (+ (* (* x x) -1/720) 1/12) (* x x)) |
| 2.0ms | x | @ | 0 | ((/ -1 (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (neg x) (/ (exp x) (- (exp x) 1)) (/ 1 x) (/ (exp x) (- (exp x) 1)) (+ 1/2 (/ 1 x)) (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (/ (exp x) (- (exp x) 1)) (+ (* (+ (* (* x x) -1/720) 1/12) x) (+ 1/2 (/ 1 x))) (+ (* (* x x) -1/720) 1/12) (* x x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 98 | 278 |
| 1 | 250 | 277 |
| 2 | 692 | 267 |
| 3 | 2090 | 254 |
| 4 | 6061 | 236 |
| 0 | 8235 | 201 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 x) |
(/ (+ 1 (* 1/2 x)) x) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) |
(* -1 x) |
(* x (- (* 1/2 x) 1)) |
(* x (- (* x (+ 1/2 (* -1/6 x))) 1)) |
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1)) |
1/12 |
(+ 1/12 (* -1/720 (pow x 2))) |
(pow x 2) |
(/ -1 (- (exp (neg x)) 1)) |
(- (exp (neg x)) 1) |
(/ (exp x) (- (exp x) 1)) |
1/2 |
(+ 1/2 (/ 1 x)) |
(* 1/12 x) |
(* x (+ 1/12 (* 1/2 (/ 1 x)))) |
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(* -1/720 (pow x 3)) |
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720)) |
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720)) |
(* -1/720 (pow x 2)) |
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(/ -1 (- (exp (* -1 x)) 1)) |
(- (exp (* -1 x)) 1) |
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12))) |
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2)))))) |
(* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2)))))) |
| Outputs |
|---|
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* 1/2 x)) x) |
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* 1/2 x) 1)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x) |
(* x (- (* x (+ 1/2 (* -1/6 x))) 1)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) |
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) |
1/12 |
#s(literal 1/12 binary64) |
(+ 1/12 (* -1/720 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) |
(pow x 2) |
(*.f64 x x) |
(/ -1 (- (exp (neg x)) 1)) |
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
(- (exp (neg x)) 1) |
(expm1.f64 (neg.f64 x)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (/ 1 x)) |
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) |
(* 1/12 x) |
(*.f64 #s(literal 1/12 binary64) x) |
(* x (+ 1/12 (* 1/2 (/ 1 x)))) |
(fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) |
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) |
(* -1/720 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64)) |
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x) |
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720)) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) |
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720)) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))) |
(* -1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/720 binary64)) |
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) |
(/ -1 (- (exp (* -1 x)) 1)) |
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
(- (exp (* -1 x)) 1) |
(expm1.f64 (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12))) |
(fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) |
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2)))))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x) |
(* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2)))))) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) |
(* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))) x) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 109 |
| 0 | 35 | 109 |
| 1 | 150 | 109 |
| 2 | 1132 | 101 |
| 0 | 8381 | 101 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
(expm1.f64 (neg.f64 x)) |
(neg.f64 x) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) |
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) |
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) |
(*.f64 x x) |
| Outputs |
|---|
(*.f64 (neg.f64 (pow.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (pow.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))) |
(*.f64 (pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (exp.f64 x) (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 (exp.f64 x) (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))) (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))) |
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (-.f64 (exp.f64 x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)) (neg.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))) |
(*.f64 (pow.f64 (expm1.f64 (neg.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(*.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) (exp.f64 x)) |
(*.f64 (neg.f64 (exp.f64 x)) (/.f64 #s(literal -1 binary64) (expm1.f64 x))) |
(*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (expm1.f64 x))) |
(*.f64 (exp.f64 x) (pow.f64 (expm1.f64 x) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (expm1.f64 (neg.f64 x)) #s(literal -1 binary64))) |
(pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (exp.f64 x)) (neg.f64 (expm1.f64 x))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 (neg.f64 x)))) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
(neg.f64 (pow.f64 (expm1.f64 (neg.f64 x)) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (expm1.f64 x))) (pow.f64 (expm1.f64 (neg.f64 x)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (pow.f64 (expm1.f64 (neg.f64 x)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)) (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))) (expm1.f64 (neg.f64 x))) |
(*.f64 (neg.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))))) |
(*.f64 (neg.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))))) |
(*.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (expm1.f64 (neg.f64 x))) #s(literal -1 binary64)) |
(*.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (expm1.f64 x)) (exp.f64 (neg.f64 x))) |
(*.f64 (expm1.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) |
(*.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 x))) |
(*.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (expm1.f64 (neg.f64 x)))) |
(pow.f64 (pow.f64 (expm1.f64 (neg.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))) (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)))) (*.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))) (/.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))) (*.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))) (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))) (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))) (/.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))) (fma.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))) (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) #s(literal -1 binary64)))))) |
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) #s(literal -3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 x))))) |
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))))) (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))))) |
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))))) (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))) (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))) (*.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) #s(literal 1 binary64))) (*.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 x)))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))))) |
(/.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) (neg.f64 (*.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))))) |
(/.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (neg.f64 (neg.f64 (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))))) |
(/.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (expm1.f64 (neg.f64 x))) #s(literal -1 binary64)) |
(/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (neg.f64 (*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))))) |
(/.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (neg.f64 (neg.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))))) |
(/.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))) |
(/.f64 (neg.f64 (expm1.f64 x)) (exp.f64 x)) |
(/.f64 (expm1.f64 x) (neg.f64 (exp.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (expm1.f64 (neg.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (expm1.f64 (neg.f64 x)) #s(literal -1 binary64))) |
(/.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 (exp.f64 x) (expm1.f64 x))) |
(neg.f64 (neg.f64 (expm1.f64 (neg.f64 x)))) |
(fma.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) |
(fma.f64 (/.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) #s(literal -1 binary64)) (neg.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) #s(literal -1 binary64)))) |
(fma.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)) #s(literal -1 binary64)) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x)) #s(literal -1 binary64)) |
(expm1.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) x)) |
(expm1.f64 (neg.f64 x)) |
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))) #s(literal 1 binary64)) (/.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))) (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (expm1.f64 (neg.f64 x)))) |
(-.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)) |
(+.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))) (neg.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x))) (-.f64 #s(literal 1/144 binary64) (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/144 binary64) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 x x) #s(literal 1/8640 binary64)))) (fma.f64 #s(literal -1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/144 binary64))) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728 binary64))) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x x) #s(literal -1/8640 binary64)))))) |
(neg.f64 (/.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/144 binary64)) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)))) |
(neg.f64 (/.f64 (fma.f64 #s(literal -1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728 binary64)) (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x x) #s(literal -1/8640 binary64))))))) |
(fma.f64 (*.f64 #s(literal -1/720 binary64) x) x #s(literal 1/12 binary64)) |
(fma.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal -1/144 binary64) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))))) |
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) |
(fma.f64 x (*.f64 #s(literal -1/720 binary64) x) #s(literal 1/12 binary64)) |
(-.f64 (/.f64 #s(literal 1/144 binary64) (-.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x)))) (/.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x))))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64))) (/.f64 #s(literal -1/144 binary64) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)))) |
(+.f64 (/.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64))) (neg.f64 (/.f64 #s(literal -1/144 binary64) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))))) |
(+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 x x)) #s(literal 1/12 binary64)) |
(+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x))) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 x x) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(/.f64 x (pow.f64 x #s(literal -1 binary64))) |
(neg.f64 (*.f64 (neg.f64 x) x)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
Compiled 17 712 to 1 927 computations (89.1% saved)
13 alts after pruning (9 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 577 | 9 | 586 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 579 | 13 | 592 |
| Status | Accuracy | Program |
|---|---|---|
| 71.2% | (/.f64 #s(literal -1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (neg.f64 x) x))))) | |
| ✓ | 100.0% | (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
| ▶ | 91.6% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))) |
| 87.8% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))) | |
| ▶ | 82.2% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x))) |
| ✓ | 61.5% | #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) |
| ▶ | 2.7% | #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)))) |
| ✓ | 61.7% | #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) |
| 61.6% | #s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x))) | |
| ✓ | 61.4% | #s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) |
| ▶ | 32.3% | #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) (+ 1/2 (/ 1 x))) (*.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))) x))) |
| 3.1% | #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x))) | |
| ▶ | 3.0% | #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))) |
Compiled 394 to 292 computations (25.9% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) | |
| cost-diff | 0 | (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) (+ 1/2 (/ 1 x))) (*.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))) x)) | |
| cost-diff | 0 | #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) (+ 1/2 (/ 1 x))) (*.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))) x))) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x) | |
| cost-diff | 0 | #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x))) | |
| cost-diff | 0 | #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/12 binary64) x #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)))) | |
| cost-diff | 0 | #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) | |
| cost-diff | 0 | #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 305 |
| 0 | 67 | 305 |
| 1 | 100 | 305 |
| 2 | 169 | 305 |
| 3 | 370 | 305 |
| 4 | 633 | 305 |
| 5 | 1232 | 299 |
| 6 | 2143 | 299 |
| 7 | 3755 | 299 |
| 8 | 4872 | 299 |
| 9 | 6835 | 299 |
| 0 | 8186 | 280 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))) |
#s(literal -1 binary64) |
#s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) |
#s(literal 1/24 binary64) |
x |
#s(literal -1/6 binary64) |
#s(literal 1/2 binary64) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))) |
#s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)))) |
(fma.f64 #s(literal 1/12 binary64) x #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))) |
#s(literal 1/12 binary64) |
x |
#s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x))) |
#s(literal -1 binary64) |
#s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) |
#s(literal 1/2 binary64) |
x |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) (+ 1/2 (/ 1 x))) (*.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))) x))) |
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) (+ 1/2 (/ 1 x))) (*.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))) x)) |
(*.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))) x) |
(+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))) |
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) |
#s(literal 1/2 binary64) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) |
(*.f64 x x) |
#s(literal -1/720 binary64) |
#s(literal 1/12 binary64) |
| Outputs |
|---|
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))) |
#s(literal -1 binary64) |
#s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) |
#s(literal 1/24 binary64) |
x |
#s(literal -1/6 binary64) |
#s(literal 1/2 binary64) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))) |
#s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)))) |
(fma.f64 #s(literal 1/12 binary64) x #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))) |
#s(literal 1/12 binary64) |
x |
#s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x))) |
#s(literal -1 binary64) |
#s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) |
#s(literal 1/2 binary64) |
x |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) (+ 1/2 (/ 1 x))) (*.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) (+ 1/2 (/ 1 x))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64) (fma.f64 #s(literal 1/12 binary64) x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))))) |
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) (+ 1/2 (/ 1 x))) (*.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))) x)) |
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) (+ 1/2 (/ 1 x))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64) (fma.f64 #s(literal 1/12 binary64) x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))) |
(*.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))) x) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64) (fma.f64 #s(literal 1/12 binary64) x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) |
(+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))) |
(+.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) |
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) |
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) |
(*.f64 x x) |
#s(literal -1/720 binary64) |
#s(literal 1/12 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.05078125 | (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) | |
| accuracy | 0.1015625 | (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) | |
| accuracy | 18.7994979964356 | (*.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))) x) | |
| accuracy | 24.626097550830863 | #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) (+ 1/2 (/ 1 x))) (*.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))) x))) | |
| accuracy | 0.0 | (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) | |
| accuracy | 0.0078125 | (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x) | |
| accuracy | 0.01171875 | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x))) | |
| accuracy | 11.412318043246735 | #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)) | |
| accuracy | 0.17578125 | (fma.f64 #s(literal 1/12 binary64) x #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))) | |
| accuracy | 24.59735655524464 | #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)))) | |
| accuracy | 38.293499128891575 | #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)) | |
| accuracy | 24.68358793623305 | #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))) | |
| accuracy | 38.293499128891575 | #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)) | |
| accuracy | 0.046875 | (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) | |
| accuracy | 0.05078125 | (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) | |
| accuracy | 0.15625 | (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) | |
| accuracy | 5.396504846622822 | #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)) |
| 76.0ms | 256× | 0 | valid |
Compiled 516 to 86 computations (83.3% saved)
ival-mult: 17.0ms (32.3% of total)const: 12.0ms (22.8% of total)ival-add: 10.0ms (19% of total)ival-div: 7.0ms (13.3% of total)ival-expm1: 3.0ms (5.7% of total)ival-exp: 2.0ms (3.8% of total)ival-neg: 1.0ms (1.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))) |
#s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))) |
#s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)))) |
(fma.f64 #s(literal 1/12 binary64) x #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x))) |
#s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) (+ 1/2 (/ 1 x))) (*.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))) x))) |
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) (+ 1/2 (/ 1 x))) (*.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))) x)) |
(+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))) |
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) |
(*.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))) x) |
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) |
| Outputs |
|---|
(/ 1 x) |
(/ (+ 1 (* 1/2 x)) x) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) |
(* -1 x) |
(* x (- (* 1/2 x) 1)) |
(* x (- (* x (+ 1/2 (* -1/6 x))) 1)) |
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1)) |
-1 |
(- (* 1/2 x) 1) |
(- (* x (+ 1/2 (* -1/6 x))) 1) |
(- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1) |
(/ 1 (pow x 2)) |
(/ (+ 1 (* 1/2 x)) (pow x 2)) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) (pow x 2)) |
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) (pow x 2)) |
-1/6 |
(- (* 1/24 x) 1/6) |
1/2 |
(+ 1/2 (* -1/6 x)) |
(+ 1/2 (* x (- (* 1/24 x) 1/6))) |
1/12 |
(+ 1/12 (* -1/720 (pow x 2))) |
(/ -1 (- (exp (neg x)) 1)) |
(- (exp (neg x)) 1) |
(* 1/24 (pow x 4)) |
(* (pow x 4) (- 1/24 (* 1/6 (/ 1 x)))) |
(* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x)))) |
(* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))) |
(* 1/24 (pow x 3)) |
(* (pow x 3) (- 1/24 (* 1/6 (/ 1 x)))) |
(* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x)))) |
(* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))) |
(/ (exp x) (- (exp x) 1)) |
(+ 1/2 (/ 1 x)) |
(* 1/12 x) |
(* x (+ 1/12 (* 1/2 (/ 1 x)))) |
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (- 1/2 (/ 1 x))) |
(* 1/2 x) |
(* x (- 1/2 (/ 1 x))) |
(* -1/720 (pow x 3)) |
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720)) |
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720)) |
(* -1/720 (pow x 2)) |
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 2) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720)) |
(* (pow x 2) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720)) |
(/ 1/2 x) |
(/ (+ 1/2 (/ 1 x)) x) |
(* 1/24 x) |
(* x (- 1/24 (* 1/6 (/ 1 x)))) |
(* 1/24 (pow x 2)) |
(* (pow x 2) (- 1/24 (* 1/6 (/ 1 x)))) |
(* (pow x 2) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x)))) |
(/ -1 (- (exp (* -1 x)) 1)) |
(- (exp (* -1 x)) 1) |
(* (pow x 4) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x)))) |
(* (pow x 4) (+ 1/24 (* -1 (/ (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x))) x)))) |
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/6) x)) 1/24))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6) x)) 1/24))) |
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12))) |
(* -1 (* x (- (/ 1 x) 1/2))) |
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2)))))) |
(* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24))) |
(* (pow x 2) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x)))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | inf | ((/ -1 (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (* (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) x) (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (/ (exp x) (- (exp x) 1)) (+ 1/2 (/ 1 x)) (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (/ -1 (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (* (+ (* 1/2 x) -1) x) (+ (* 1/2 x) -1) (/ (exp x) (- (exp x) 1)) (+ (* (+ (* (* x x) -1/720) 1/12) x) (+ 1/2 (/ 1 x))) (+ (/ (+ 1/2 (/ 1 x)) x) (+ (* (* x x) -1/720) 1/12)) (/ (+ 1/2 (/ 1 x)) x) (+ (* 1/24 x) -1/6) (+ (* (+ (* 1/24 x) -1/6) x) 1/2) (* (+ (/ (+ 1/2 (/ 1 x)) x) (+ (* (* x x) -1/720) 1/12)) x) (+ (* (* x x) -1/720) 1/12)) |
| 3.0ms | x | @ | -inf | ((/ -1 (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (* (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) x) (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (/ (exp x) (- (exp x) 1)) (+ 1/2 (/ 1 x)) (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (/ -1 (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (* (+ (* 1/2 x) -1) x) (+ (* 1/2 x) -1) (/ (exp x) (- (exp x) 1)) (+ (* (+ (* (* x x) -1/720) 1/12) x) (+ 1/2 (/ 1 x))) (+ (/ (+ 1/2 (/ 1 x)) x) (+ (* (* x x) -1/720) 1/12)) (/ (+ 1/2 (/ 1 x)) x) (+ (* 1/24 x) -1/6) (+ (* (+ (* 1/24 x) -1/6) x) 1/2) (* (+ (/ (+ 1/2 (/ 1 x)) x) (+ (* (* x x) -1/720) 1/12)) x) (+ (* (* x x) -1/720) 1/12)) |
| 2.0ms | x | @ | 0 | ((/ -1 (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (* (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) x) (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (/ (exp x) (- (exp x) 1)) (+ 1/2 (/ 1 x)) (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (/ -1 (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (* (+ (* 1/2 x) -1) x) (+ (* 1/2 x) -1) (/ (exp x) (- (exp x) 1)) (+ (* (+ (* (* x x) -1/720) 1/12) x) (+ 1/2 (/ 1 x))) (+ (/ (+ 1/2 (/ 1 x)) x) (+ (* (* x x) -1/720) 1/12)) (/ (+ 1/2 (/ 1 x)) x) (+ (* 1/24 x) -1/6) (+ (* (+ (* 1/24 x) -1/6) x) 1/2) (* (+ (/ (+ 1/2 (/ 1 x)) x) (+ (* (* x x) -1/720) 1/12)) x) (+ (* (* x x) -1/720) 1/12)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 163 | 680 |
| 1 | 443 | 658 |
| 2 | 1328 | 642 |
| 3 | 4210 | 600 |
| 0 | 8488 | 535 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 x) |
(/ (+ 1 (* 1/2 x)) x) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) |
(* -1 x) |
(* x (- (* 1/2 x) 1)) |
(* x (- (* x (+ 1/2 (* -1/6 x))) 1)) |
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1)) |
-1 |
(- (* 1/2 x) 1) |
(- (* x (+ 1/2 (* -1/6 x))) 1) |
(- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1) |
(/ 1 (pow x 2)) |
(/ (+ 1 (* 1/2 x)) (pow x 2)) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) (pow x 2)) |
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) (pow x 2)) |
-1/6 |
(- (* 1/24 x) 1/6) |
1/2 |
(+ 1/2 (* -1/6 x)) |
(+ 1/2 (* x (- (* 1/24 x) 1/6))) |
1/12 |
(+ 1/12 (* -1/720 (pow x 2))) |
(/ -1 (- (exp (neg x)) 1)) |
(- (exp (neg x)) 1) |
(* 1/24 (pow x 4)) |
(* (pow x 4) (- 1/24 (* 1/6 (/ 1 x)))) |
(* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x)))) |
(* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))) |
(* 1/24 (pow x 3)) |
(* (pow x 3) (- 1/24 (* 1/6 (/ 1 x)))) |
(* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x)))) |
(* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))) |
(/ (exp x) (- (exp x) 1)) |
(+ 1/2 (/ 1 x)) |
(* 1/12 x) |
(* x (+ 1/12 (* 1/2 (/ 1 x)))) |
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (- 1/2 (/ 1 x))) |
(* 1/2 x) |
(* x (- 1/2 (/ 1 x))) |
(* -1/720 (pow x 3)) |
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720)) |
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720)) |
(* -1/720 (pow x 2)) |
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 2) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720)) |
(* (pow x 2) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720)) |
(/ 1/2 x) |
(/ (+ 1/2 (/ 1 x)) x) |
(* 1/24 x) |
(* x (- 1/24 (* 1/6 (/ 1 x)))) |
(* 1/24 (pow x 2)) |
(* (pow x 2) (- 1/24 (* 1/6 (/ 1 x)))) |
(* (pow x 2) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x)))) |
(/ -1 (- (exp (* -1 x)) 1)) |
(- (exp (* -1 x)) 1) |
(* (pow x 4) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x)))) |
(* (pow x 4) (+ 1/24 (* -1 (/ (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x))) x)))) |
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/6) x)) 1/24))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6) x)) 1/24))) |
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12))) |
(* -1 (* x (- (/ 1 x) 1/2))) |
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2)))))) |
(* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24))) |
(* (pow x 2) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x)))) |
| Outputs |
|---|
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* 1/2 x)) x) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* 1/2 x) 1)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x) |
(* x (- (* x (+ 1/2 (* -1/6 x))) 1)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) |
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) |
-1 |
#s(literal -1 binary64) |
(- (* 1/2 x) 1) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) |
(- (* x (+ 1/2 (* -1/6 x))) 1) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) |
(- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) |
(/ 1 (pow x 2)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) x) |
(/ (+ 1 (* 1/2 x)) (pow x 2)) |
(/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) x) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) (pow x 2)) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 x x)) |
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) (pow x 2)) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (*.f64 x x)) |
-1/6 |
#s(literal -1/6 binary64) |
(- (* 1/24 x) 1/6) |
(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/6 x)) |
(fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) |
(+ 1/2 (* x (- (* 1/24 x) 1/6))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) |
1/12 |
#s(literal 1/12 binary64) |
(+ 1/12 (* -1/720 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) |
(/ -1 (- (exp (neg x)) 1)) |
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
(- (exp (neg x)) 1) |
(expm1.f64 (neg.f64 x)) |
(* 1/24 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64)) |
(* (pow x 4) (- 1/24 (* 1/6 (/ 1 x)))) |
(*.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x)))) |
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) x) #s(literal -1/24 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))) |
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/6 binary64)) x) #s(literal -1/24 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* 1/24 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) |
(* (pow x 3) (- 1/24 (* 1/6 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x)) |
(* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 1/24 binary64) x (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (*.f64 x x)) |
(* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))) |
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/6 binary64)) x) #s(literal -1/24 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(+ 1/2 (/ 1 x)) |
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) |
(* 1/12 x) |
(*.f64 #s(literal 1/12 binary64) x) |
(* x (+ 1/12 (* 1/2 (/ 1 x)))) |
(fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) |
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* (pow x 2) (- 1/2 (/ 1 x))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (- 1/2 (/ 1 x))) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) |
(* -1/720 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64)) |
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(fma.f64 #s(literal 1/12 binary64) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64))) |
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720)) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) |
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720)) |
(fma.f64 #s(literal 1/12 binary64) x (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64))) |
(* -1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/720 binary64)) |
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) |
(* (pow x 2) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720)) |
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64))) |
(* (pow x 2) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720)) |
(+.f64 #s(literal 1/12 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)) (*.f64 x x) (/.f64 #s(literal 1/2 binary64) x))) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(/ (+ 1/2 (/ 1 x)) x) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x) |
(* 1/24 x) |
(*.f64 #s(literal 1/24 binary64) x) |
(* x (- 1/24 (* 1/6 (/ 1 x)))) |
(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) |
(* 1/24 (pow x 2)) |
(*.f64 (*.f64 #s(literal 1/24 binary64) x) x) |
(* (pow x 2) (- 1/24 (* 1/6 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x) |
(* (pow x 2) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 1/24 binary64) x (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) x) |
(/ -1 (- (exp (* -1 x)) 1)) |
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
(- (exp (* -1 x)) 1) |
(expm1.f64 (neg.f64 x)) |
(* (pow x 4) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x)))) |
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) x) #s(literal -1/24 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ 1/24 (* -1 (/ (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x))) x)))) |
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/6 binary64)) x) #s(literal -1/24 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24))) |
(*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x)) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/6) x)) 1/24))) |
(*.f64 (fma.f64 #s(literal 1/24 binary64) x (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (*.f64 x x)) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6) x)) 1/24))) |
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/6 binary64)) x) #s(literal -1/24 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12))) |
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1/12 binary64)) x) |
(* -1 (* x (- (/ 1 x) 1/2))) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) |
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2)))))) |
(fma.f64 #s(literal 1/12 binary64) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64))) |
(* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2)))))) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) |
(* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2)))))) |
(fma.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/12 binary64) x)) |
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24))) |
(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) |
(* (pow x 2) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x)))) |
(*.f64 (fma.f64 #s(literal 1/24 binary64) x (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 270 |
| 0 | 67 | 270 |
| 1 | 265 | 270 |
| 2 | 2093 | 270 |
| 0 | 9263 | 254 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))) |
#s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))) |
#s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)))) |
(fma.f64 #s(literal 1/12 binary64) x #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x))) |
#s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) (+ 1/2 (/ 1 x))) (*.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))) x))) |
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) (+ 1/2 (/ 1 x))) (*.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))) x)) |
(+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))) |
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) |
(*.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))) x) |
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) |
| Outputs |
|---|
(*.f64 (pow.f64 #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))) |
(*.f64 #s(literal -1 binary64) (pow.f64 #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (*.f64 #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)) #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))) |
(neg.f64 (pow.f64 #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))) #s(literal -1 binary64))) |
#s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) |
(*.f64 x (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal -1 binary64)) x) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) (neg.f64 x)))) |
(/.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
(/.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) (neg.f64 x)))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x) x (neg.f64 x)) |
(fma.f64 x (log.f64 (exp.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x) x)) |
(fma.f64 x (log.f64 (exp.f64 #s(literal -1 binary64))) (*.f64 x (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x))) |
(fma.f64 x (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x) (neg.f64 x)) |
(fma.f64 x #s(literal -1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x) x)) |
(fma.f64 x #s(literal -1 binary64) (*.f64 x (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x))) |
(fma.f64 #s(literal -1 binary64) x (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x) x)) |
(fma.f64 #s(literal -1 binary64) x (*.f64 x (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x))) |
(+.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x) x) (neg.f64 x)) |
(+.f64 (*.f64 x (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x)) (neg.f64 x)) |
(+.f64 (neg.f64 x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x) x)) |
(+.f64 (neg.f64 x) (*.f64 x (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64))) |
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(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) #s(literal 2 binary64))) x) (-.f64 (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x) #s(literal 3 binary64))) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) (-.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x)) (pow.f64 (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)))) |
(/.f64 (*.f64 x (-.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) #s(literal 2 binary64)))) (-.f64 (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)))) |
(/.f64 (*.f64 x (+.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) (-.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x)) (pow.f64 (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)))) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x)) x (*.f64 #s(literal 1/12 binary64) x)) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x) x)) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (*.f64 x (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x))) |
(fma.f64 (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x) x (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x)) |
(fma.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x)) (*.f64 #s(literal 1/12 binary64) x)) |
(fma.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) (*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x) x)) |
(fma.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) (*.f64 x (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x))) |
(fma.f64 x (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x)) |
(+.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x)) x) (*.f64 #s(literal 1/12 binary64) x)) |
(+.f64 (*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x)) |
(+.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x))) (*.f64 #s(literal 1/12 binary64) x)) |
(+.f64 (*.f64 x (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x)) |
(+.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x) (*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x) x)) |
(+.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x) (*.f64 x (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64) #s(literal -1/144 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal -1/12 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/373248000 binary64) #s(literal 1/1728 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x x) #s(literal -1/8640 binary64)))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal -1/12 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64) #s(literal -1/144 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x x) #s(literal -1/8640 binary64)))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/373248000 binary64) #s(literal 1/1728 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal -1/12 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal -1/12 binary64)) #s(literal 1/144 binary64))) (pow.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal -1/12 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64))) (-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64) #s(literal -1/144 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal -1/12 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/373248000 binary64) #s(literal 1/1728 binary64))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x x) #s(literal -1/8640 binary64)))))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64) #s(literal -1/144 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal -1/12 binary64))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/373248000 binary64) #s(literal 1/1728 binary64)) (+.f64 #s(literal 1/144 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)) (*.f64 (*.f64 x x) #s(literal -1/8640 binary64))))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/373248000 binary64) #s(literal 1/1728 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x x) #s(literal -1/8640 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal -1/12 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64) #s(literal -1/144 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x x) #s(literal -1/8640 binary64)))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/373248000 binary64) #s(literal 1/1728 binary64)))) |
(fma.f64 (*.f64 #s(literal -1/720 binary64) x) x #s(literal 1/12 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) |
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) |
(fma.f64 x (*.f64 #s(literal -1/720 binary64) x) #s(literal 1/12 binary64)) |
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/518400 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal -1/12 binary64))) (/.f64 #s(literal 1/144 binary64) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal -1/12 binary64)))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) |
(+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))) |
Compiled 32 152 to 3 354 computations (89.6% saved)
23 alts after pruning (14 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 588 | 11 | 599 |
| Fresh | 1 | 3 | 4 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 4 | 4 |
| Total | 589 | 23 | 612 |
| Status | Accuracy | Program |
|---|---|---|
| 71.2% | (/.f64 #s(literal -1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (neg.f64 x) x))))) | |
| ✓ | 100.0% | (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
| 82.2% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (neg.f64 x)))) | |
| ✓ | 91.6% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))) |
| 91.6% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))) | |
| 91.6% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/576 binary64) (*.f64 x x))) (-.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/24 binary64) x))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))) | |
| ▶ | 91.6% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))) |
| 87.8% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) -1/6) #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))) | |
| 90.4% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/24 x) -1/6) x) 1/2) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x)) x #s(literal -1 binary64)) x))) | |
| 90.4% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/24 x) -1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) x #s(literal -1 binary64)) x))) | |
| ✓ | 82.2% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x))) |
| ▶ | 33.3% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (*.f64 x x))) x))) |
| ▶ | 34.6% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x))) x))) |
| ▶ | 24.4% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x)) x))) |
| ✓ | 61.5% | #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) |
| ✓ | 2.7% | #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)))) |
| ✓ | 61.7% | #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) |
| 61.6% | #s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x))) | |
| ✓ | 61.4% | #s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) |
| ✓ | 32.3% | #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) (+ 1/2 (/ 1 x))) (*.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))) x))) |
| ▶ | 3.1% | #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x))) |
| ✓ | 3.0% | #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))) |
| 61.4% | #s(approx (/ -1 (- (exp (neg x)) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) |
Compiled 817 to 626 computations (23.4% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (*.f64 x x))) x) | |
| cost-diff | 0 | #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (*.f64 x x))) x)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (*.f64 x x))) x))) | |
| cost-diff | 832 | (*.f64 (fma.f64 #s(literal 1/24 binary64) x (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (*.f64 x x)) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x))) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x))) x) | |
| cost-diff | 0 | #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x))) x)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x))) x))) | |
| cost-diff | 0 | #s(approx (+ (* 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x)) x) | |
| cost-diff | 0 | #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x)) x)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x)) x))) | |
| cost-diff | 0 | (*.f64 #s(literal 1/12 binary64) x) | |
| cost-diff | 0 | #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x)) | |
| cost-diff | 0 | #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x))) | |
| cost-diff | 0 | (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) | |
| cost-diff | 0 | #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 537 |
| 0 | 86 | 537 |
| 1 | 134 | 532 |
| 2 | 221 | 525 |
| 3 | 602 | 525 |
| 4 | 1286 | 525 |
| 5 | 2302 | 515 |
| 6 | 5115 | 515 |
| 0 | 8088 | 470 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))) |
#s(literal -1 binary64) |
#s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)))) x #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)))) |
#s(literal 1 binary64) |
(/.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64))) |
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) |
#s(literal 1/24 binary64) |
x |
#s(literal 1/6 binary64) |
(fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)) |
#s(literal 1/576 binary64) |
(*.f64 x x) |
#s(literal -1/36 binary64) |
#s(literal 1/2 binary64) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x))) |
#s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x)) |
(*.f64 #s(literal 1/12 binary64) x) |
#s(literal 1/12 binary64) |
x |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x)) x))) |
#s(literal -1 binary64) |
#s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x)) x)) |
(*.f64 #s(approx (+ (* 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x)) x) |
#s(approx (+ (* 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x))) x))) |
#s(literal -1 binary64) |
#s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x))) x)) |
(*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x))) x) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x))) |
(*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x)) |
(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) |
#s(literal 1/24 binary64) |
x |
#s(literal -1/6 binary64) |
(*.f64 x x) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (*.f64 x x))) x))) |
#s(literal -1 binary64) |
#s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (*.f64 x x))) x)) |
(*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (*.f64 x x))) x) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (*.f64 x x))) |
(*.f64 (fma.f64 #s(literal 1/24 binary64) x (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (*.f64 x x)) |
(fma.f64 #s(literal 1/24 binary64) x (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) |
#s(literal 1/24 binary64) |
x |
(-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) |
(/.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
#s(literal 1/6 binary64) |
(*.f64 x x) |
| Outputs |
|---|
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))) |
#s(literal -1 binary64) |
#s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)) |
#s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) |
(*.f64 (fma.f64 (fma.f64 (/.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) |
(fma.f64 (fma.f64 (/.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)))) x #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)))) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) |
#s(literal 1 binary64) |
(/.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64))) |
(/.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64))) |
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) |
#s(literal 1/24 binary64) |
x |
#s(literal 1/6 binary64) |
(fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) |
#s(literal 1/576 binary64) |
(*.f64 x x) |
#s(literal -1/36 binary64) |
#s(literal 1/2 binary64) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x))) |
#s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x)) |
(*.f64 #s(literal 1/12 binary64) x) |
#s(literal 1/12 binary64) |
x |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x)) x))) |
#s(literal -1 binary64) |
#s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x)) x)) |
(*.f64 #s(approx (+ (* 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x)) x) |
#s(approx (+ (* 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x))) x))) |
#s(literal -1 binary64) |
#s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x))) x)) |
(*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x))) x) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x))) |
(*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x)) |
(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) |
#s(literal 1/24 binary64) |
x |
#s(literal -1/6 binary64) |
(*.f64 x x) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (*.f64 x x))) x))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x)) x))) |
#s(literal -1 binary64) |
#s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (*.f64 x x))) x)) |
#s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x)) x)) |
(*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (*.f64 x x))) x) |
(*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x)) x) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (*.f64 x x))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x)) |
(*.f64 (fma.f64 #s(literal 1/24 binary64) x (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (*.f64 x x)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x) |
(fma.f64 #s(literal 1/24 binary64) x (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) |
#s(literal 1/24 binary64) |
x |
(-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) |
(/.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
#s(literal 1/6 binary64) |
(*.f64 x x) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.15234375 | (fma.f64 #s(literal 1/24 binary64) x (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) | |
| accuracy | 5.267458108783584 | #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (*.f64 x x))) x)) | |
| accuracy | 18.483253884993395 | (*.f64 (fma.f64 #s(literal 1/24 binary64) x (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (*.f64 x x)) | |
| accuracy | 37.23814708934592 | #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (*.f64 x x))) | |
| accuracy | 0.15625 | (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) | |
| accuracy | 0.15625 | (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x)) | |
| accuracy | 5.267458108783584 | #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x))) x)) | |
| accuracy | 37.281295092967845 | #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x))) | |
| accuracy | 0.0078125 | (*.f64 #s(approx (+ (* 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x)) x) | |
| accuracy | 0.01171875 | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x)) x))) | |
| accuracy | 11.24139023387757 | #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x)) x)) | |
| accuracy | 37.675647921122994 | #s(approx (+ (* 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x)) | |
| accuracy | 0.390625 | (*.f64 #s(literal 1/12 binary64) x) | |
| accuracy | 24.480602695259964 | #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x))) | |
| accuracy | 37.80146047355224 | #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x)) | |
| accuracy | 0.13671875 | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)))) | |
| accuracy | 0.1640625 | (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) | |
| accuracy | 5.267458108783584 | #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)) | |
| accuracy | 12.626789044862278 | (/.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64))) |
| 116.0ms | 255× | 0 | valid |
| 2.0ms | 1× | 5 | exit |
Compiled 867 to 114 computations (86.9% saved)
ival-mult: 38.0ms (39.6% of total)const: 22.0ms (22.9% of total)ival-add: 17.0ms (17.7% of total)ival-div: 10.0ms (10.4% of total)ival-expm1: 3.0ms (3.1% of total)ival-exp: 2.0ms (2.1% of total)ival-sub: 1.0ms (1% of total)ival-neg: 1.0ms (1% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))) |
#s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x))) |
#s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x)) |
(*.f64 #s(literal 1/12 binary64) x) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x)) x))) |
#s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x)) x)) |
(*.f64 #s(approx (+ (* 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x)) x) |
#s(approx (+ (* 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x)) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x))) x))) |
#s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x))) x)) |
(*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x))) x) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x))) |
(*.f64 (fma.f64 #s(literal 1/24 binary64) x (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (*.f64 x x)) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (*.f64 x x))) x))) |
#s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (*.f64 x x))) x)) |
(*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (*.f64 x x))) x) |
(/.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64))) |
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) |
(*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x)) |
(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (*.f64 x x))) |
(fma.f64 #s(literal 1/24 binary64) x (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) |
| Outputs |
|---|
-1/6 |
(- (* 1/24 x) 1/6) |
(/ 1 x) |
(/ (+ 1 (* 1/2 x)) x) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) |
(* -1 x) |
(* x (- (* 1/2 x) 1)) |
(* x (- (* x (+ 1/2 (* -1/6 x))) 1)) |
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1)) |
(* 1/12 x) |
-1 |
(- (* 1/2 x) 1) |
(- (* x (+ 1/2 (* -1/6 x))) 1) |
(- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1) |
(* 1/2 x) |
(* x (+ 1/2 (* -1/6 x))) |
(* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) |
-6 |
(- (* -3/2 x) 6) |
(- (* x (- (* -3/8 x) 3/2)) 6) |
(- (* x (- (* x (- (* -3/32 x) 3/8)) 3/2)) 6) |
1/6 |
(+ 1/6 (* 1/24 x)) |
(* -1/6 (pow x 2)) |
(* (pow x 2) (- (* 1/24 x) 1/6)) |
(/ 1/2 x) |
(/ (+ 1/2 (* -1/6 x)) x) |
(/ (+ 1/2 (* x (- (* 1/24 x) 1/6))) x) |
(* 1/24 x) |
(* x (- 1/24 (* 1/6 (/ 1 x)))) |
(/ -1 (- (exp (neg x)) 1)) |
(- (exp (neg x)) 1) |
(* 1/24 (pow x 4)) |
(* (pow x 4) (- 1/24 (* 1/6 (/ 1 x)))) |
(* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x)))) |
(* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))) |
(/ (exp x) (- (exp x) 1)) |
(* x (+ 1/12 (* 1/2 (/ 1 x)))) |
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (- 1/2 (/ 1 x))) |
(* x (- 1/2 (/ 1 x))) |
(* 1/24 (pow x 3)) |
(* (pow x 3) (- 1/24 (* 1/6 (/ 1 x)))) |
(* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x)))) |
(* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))) |
(/ 24 x) |
(/ (+ 24 (* 96 (/ 1 x))) x) |
(/ (+ 24 (+ (* 96 (/ 1 x)) (/ 384 (pow x 2)))) x) |
(/ (+ 24 (+ (* 96 (/ 1 x)) (+ (* 1536 (/ 1 (pow x 3))) (/ 384 (pow x 2))))) x) |
(* x (+ 1/24 (* 1/6 (/ 1 x)))) |
(* x (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x)))) |
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24))) |
(/ -1 (- (exp (* -1 x)) 1)) |
(- (exp (* -1 x)) 1) |
(* (pow x 4) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x)))) |
(* (pow x 4) (+ 1/24 (* -1 (/ (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x))) x)))) |
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12))) |
(* -1 (* x (- (/ 1 x) 1/2))) |
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/6) x)) 1/24))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6) x)) 1/24))) |
(* -1 (/ (- (* -1 (/ (+ 96 (* 384 (/ 1 x))) x)) 24) x)) |
(* -1 (/ (- (* -1 (/ (+ 96 (+ (* 384 (/ 1 x)) (/ 1536 (pow x 2)))) x)) 24) x)) |
(* -1 (* x (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/6) x)) 1/24))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | ((/ 1 (/ (+ (* 1/24 x) 1/6) (+ (* 1/576 (* x x)) -1/36))) (/ -1 (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (* (+ (* (+ (* (/ 1 (/ (+ (* 1/24 x) 1/6) (+ (* 1/576 (* x x)) -1/36))) x) 1/2) x) -1) x) (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (* 1/12 x) (/ -1 (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (* (+ (* 1/2 x) -1) x) (+ (* 1/2 x) -1) (/ -1 (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (* (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) x) (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (* (+ (* 1/24 x) (- (/ 1/2 x) 1/6)) (* x x)) (/ -1 (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (* (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) x) (/ (+ (* 1/24 x) 1/6) (+ (* 1/576 (* x x)) -1/36)) (+ (* 1/24 x) 1/6) (* (+ (* 1/24 x) -1/6) (* x x)) (+ (* 1/24 x) -1/6) (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (+ (* 1/24 x) (- (/ 1/2 x) 1/6))) |
| 3.0ms | x | @ | inf | ((/ 1 (/ (+ (* 1/24 x) 1/6) (+ (* 1/576 (* x x)) -1/36))) (/ -1 (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (* (+ (* (+ (* (/ 1 (/ (+ (* 1/24 x) 1/6) (+ (* 1/576 (* x x)) -1/36))) x) 1/2) x) -1) x) (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (* 1/12 x) (/ -1 (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (* (+ (* 1/2 x) -1) x) (+ (* 1/2 x) -1) (/ -1 (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (* (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) x) (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (* (+ (* 1/24 x) (- (/ 1/2 x) 1/6)) (* x x)) (/ -1 (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (* (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) x) (/ (+ (* 1/24 x) 1/6) (+ (* 1/576 (* x x)) -1/36)) (+ (* 1/24 x) 1/6) (* (+ (* 1/24 x) -1/6) (* x x)) (+ (* 1/24 x) -1/6) (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (+ (* 1/24 x) (- (/ 1/2 x) 1/6))) |
| 2.0ms | x | @ | 0 | ((/ 1 (/ (+ (* 1/24 x) 1/6) (+ (* 1/576 (* x x)) -1/36))) (/ -1 (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (* (+ (* (+ (* (/ 1 (/ (+ (* 1/24 x) 1/6) (+ (* 1/576 (* x x)) -1/36))) x) 1/2) x) -1) x) (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (* 1/12 x) (/ -1 (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (* (+ (* 1/2 x) -1) x) (+ (* 1/2 x) -1) (/ -1 (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (* (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) x) (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (* (+ (* 1/24 x) (- (/ 1/2 x) 1/6)) (* x x)) (/ -1 (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (* (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) x) (/ (+ (* 1/24 x) 1/6) (+ (* 1/576 (* x x)) -1/36)) (+ (* 1/24 x) 1/6) (* (+ (* 1/24 x) -1/6) (* x x)) (+ (* 1/24 x) -1/6) (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (+ (* 1/24 x) (- (/ 1/2 x) 1/6))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 186 | 557 |
| 1 | 478 | 548 |
| 2 | 1185 | 536 |
| 3 | 3115 | 525 |
| 0 | 8363 | 458 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-1/6 |
(- (* 1/24 x) 1/6) |
(/ 1 x) |
(/ (+ 1 (* 1/2 x)) x) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) |
(* -1 x) |
(* x (- (* 1/2 x) 1)) |
(* x (- (* x (+ 1/2 (* -1/6 x))) 1)) |
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1)) |
(* 1/12 x) |
-1 |
(- (* 1/2 x) 1) |
(- (* x (+ 1/2 (* -1/6 x))) 1) |
(- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1) |
(* 1/2 x) |
(* x (+ 1/2 (* -1/6 x))) |
(* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) |
-6 |
(- (* -3/2 x) 6) |
(- (* x (- (* -3/8 x) 3/2)) 6) |
(- (* x (- (* x (- (* -3/32 x) 3/8)) 3/2)) 6) |
1/6 |
(+ 1/6 (* 1/24 x)) |
(* -1/6 (pow x 2)) |
(* (pow x 2) (- (* 1/24 x) 1/6)) |
(/ 1/2 x) |
(/ (+ 1/2 (* -1/6 x)) x) |
(/ (+ 1/2 (* x (- (* 1/24 x) 1/6))) x) |
(* 1/24 x) |
(* x (- 1/24 (* 1/6 (/ 1 x)))) |
(/ -1 (- (exp (neg x)) 1)) |
(- (exp (neg x)) 1) |
(* 1/24 (pow x 4)) |
(* (pow x 4) (- 1/24 (* 1/6 (/ 1 x)))) |
(* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x)))) |
(* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))) |
(/ (exp x) (- (exp x) 1)) |
(* x (+ 1/12 (* 1/2 (/ 1 x)))) |
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (- 1/2 (/ 1 x))) |
(* x (- 1/2 (/ 1 x))) |
(* 1/24 (pow x 3)) |
(* (pow x 3) (- 1/24 (* 1/6 (/ 1 x)))) |
(* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x)))) |
(* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))) |
(/ 24 x) |
(/ (+ 24 (* 96 (/ 1 x))) x) |
(/ (+ 24 (+ (* 96 (/ 1 x)) (/ 384 (pow x 2)))) x) |
(/ (+ 24 (+ (* 96 (/ 1 x)) (+ (* 1536 (/ 1 (pow x 3))) (/ 384 (pow x 2))))) x) |
(* x (+ 1/24 (* 1/6 (/ 1 x)))) |
(* x (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x)))) |
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24))) |
(/ -1 (- (exp (* -1 x)) 1)) |
(- (exp (* -1 x)) 1) |
(* (pow x 4) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x)))) |
(* (pow x 4) (+ 1/24 (* -1 (/ (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x))) x)))) |
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12))) |
(* -1 (* x (- (/ 1 x) 1/2))) |
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/6) x)) 1/24))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6) x)) 1/24))) |
(* -1 (/ (- (* -1 (/ (+ 96 (* 384 (/ 1 x))) x)) 24) x)) |
(* -1 (/ (- (* -1 (/ (+ 96 (+ (* 384 (/ 1 x)) (/ 1536 (pow x 2)))) x)) 24) x)) |
(* -1 (* x (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/6) x)) 1/24))) |
| Outputs |
|---|
-1/6 |
#s(literal -1/6 binary64) |
(- (* 1/24 x) 1/6) |
(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* 1/2 x)) x) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* 1/2 x) 1)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x) |
(* x (- (* x (+ 1/2 (* -1/6 x))) 1)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) |
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) |
(* 1/12 x) |
(*.f64 #s(literal 1/12 binary64) x) |
-1 |
#s(literal -1 binary64) |
(- (* 1/2 x) 1) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) |
(- (* x (+ 1/2 (* -1/6 x))) 1) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) |
(- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (* -1/6 x))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) |
(* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x) |
-6 |
#s(literal -6 binary64) |
(- (* -3/2 x) 6) |
(fma.f64 #s(literal -3/2 binary64) x #s(literal -6 binary64)) |
(- (* x (- (* -3/8 x) 3/2)) 6) |
(fma.f64 (fma.f64 #s(literal -3/8 binary64) x #s(literal -3/2 binary64)) x #s(literal -6 binary64)) |
(- (* x (- (* x (- (* -3/32 x) 3/8)) 3/2)) 6) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -3/32 binary64) x #s(literal -3/8 binary64)) x #s(literal -3/2 binary64)) x #s(literal -6 binary64)) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* 1/24 x)) |
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) |
(* -1/6 (pow x 2)) |
(*.f64 (*.f64 #s(literal -1/6 binary64) x) x) |
(* (pow x 2) (- (* 1/24 x) 1/6)) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x) x) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(/ (+ 1/2 (* -1/6 x)) x) |
(-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) |
(/ (+ 1/2 (* x (- (* 1/24 x) 1/6))) x) |
(fma.f64 #s(literal 1/24 binary64) x (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) |
(* 1/24 x) |
(*.f64 #s(literal 1/24 binary64) x) |
(* x (- 1/24 (* 1/6 (/ 1 x)))) |
(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) |
(/ -1 (- (exp (neg x)) 1)) |
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
(- (exp (neg x)) 1) |
(expm1.f64 (neg.f64 x)) |
(* 1/24 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64)) |
(* (pow x 4) (- 1/24 (* 1/6 (/ 1 x)))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x))) |
(* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x)))) |
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) x) #s(literal -1/24 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))) |
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/6 binary64)) x) #s(literal -1/24 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(* x (+ 1/12 (* 1/2 (/ 1 x)))) |
(fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) |
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* (pow x 2) (- 1/2 (/ 1 x))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x) |
(* x (- 1/2 (/ 1 x))) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) |
(* 1/24 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) |
(* (pow x 3) (- 1/24 (* 1/6 (/ 1 x)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x) x) |
(* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x) |
(* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) |
(/ 24 x) |
(/.f64 #s(literal 24 binary64) x) |
(/ (+ 24 (* 96 (/ 1 x))) x) |
(/.f64 (+.f64 (/.f64 #s(literal 96 binary64) x) #s(literal 24 binary64)) x) |
(/ (+ 24 (+ (* 96 (/ 1 x)) (/ 384 (pow x 2)))) x) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 384 binary64) x) #s(literal 96 binary64)) #s(literal 24 binary64)) x) |
(/ (+ 24 (+ (* 96 (/ 1 x)) (+ (* 1536 (/ 1 (pow x 3))) (/ 384 (pow x 2))))) x) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 384 binary64) x) #s(literal 96 binary64)) (+.f64 (/.f64 #s(literal 1536 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 24 binary64))) x) |
(* x (+ 1/24 (* 1/6 (/ 1 x)))) |
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) |
(* x (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x)))) |
(fma.f64 #s(literal 1/24 binary64) x (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) |
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24))) |
(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) |
(/ -1 (- (exp (* -1 x)) 1)) |
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
(- (exp (* -1 x)) 1) |
(expm1.f64 (neg.f64 x)) |
(* (pow x 4) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x)))) |
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) x) #s(literal -1/24 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ 1/24 (* -1 (/ (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x))) x)))) |
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/6 binary64)) x) #s(literal -1/24 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12))) |
(fma.f64 #s(literal 1/12 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) |
(* -1 (* x (- (/ 1 x) 1/2))) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) |
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x) x) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/6) x)) 1/24))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6) x)) 1/24))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) |
(* -1 (/ (- (* -1 (/ (+ 96 (* 384 (/ 1 x))) x)) 24) x)) |
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 384 binary64) x) #s(literal 96 binary64)) x) #s(literal -24 binary64)) x) |
(* -1 (/ (- (* -1 (/ (+ 96 (+ (* 384 (/ 1 x)) (/ 1536 (pow x 2)))) x)) 24) x)) |
(/.f64 (-.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1536 binary64) (*.f64 x x)) #s(literal 96 binary64)) (/.f64 #s(literal 384 binary64) x)) x) #s(literal -24 binary64)) x) |
(* -1 (* x (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/6) x)) 1/24))) |
(fma.f64 #s(literal 1/24 binary64) x (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 454 |
| 0 | 86 | 463 |
| 1 | 351 | 397 |
| 2 | 2656 | 397 |
| 0 | 8535 | 373 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))) |
#s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x))) |
#s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x)) |
(*.f64 #s(literal 1/12 binary64) x) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x)) x))) |
#s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x)) x)) |
(*.f64 #s(approx (+ (* 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x)) x) |
#s(approx (+ (* 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x)) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x))) x))) |
#s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x))) x)) |
(*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x))) x) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x))) |
(*.f64 (fma.f64 #s(literal 1/24 binary64) x (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (*.f64 x x)) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (*.f64 x x))) x))) |
#s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (*.f64 x x))) x)) |
(*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (*.f64 x x))) x) |
(/.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64))) |
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) |
(*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x)) |
(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (*.f64 x x))) |
(fma.f64 #s(literal 1/24 binary64) x (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) |
| Outputs |
|---|
(*.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/331776 binary64) #s(literal -1/1296 binary64)) #s(literal -1 binary64))) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64)))) (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal 1/36 binary64)))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/191102976 binary64) #s(literal -1/46656 binary64)) #s(literal -1 binary64))) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64)))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/331776 binary64) (-.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 x x) #s(literal -1/20736 binary64)))))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64)))) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/331776 binary64) #s(literal -1/1296 binary64)) #s(literal -1 binary64))) (/.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal 1/36 binary64)))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/191102976 binary64) #s(literal -1/46656 binary64)) #s(literal -1 binary64))) (/.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/331776 binary64) (-.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 x x) #s(literal -1/20736 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/331776 binary64) #s(literal -1/1296 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal 1/36 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/191102976 binary64) #s(literal -1/46656 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/331776 binary64) (-.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 x x) #s(literal -1/20736 binary64)))))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/331776 binary64) #s(literal -1/1296 binary64)) (fma.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64))) (/.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64)))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/191102976 binary64) #s(literal -1/46656 binary64)) (fma.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64))) (/.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/331776 binary64) (-.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 x x) #s(literal -1/20736 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64)))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/191102976 binary64) #s(literal -1/46656 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64))) (/.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/331776 binary64) (-.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 x x) #s(literal -1/20736 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/331776 binary64) #s(literal -1/1296 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal 1/36 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/191102976 binary64) #s(literal -1/46656 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/331776 binary64) (-.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 x x) #s(literal -1/20736 binary64)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (neg.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (neg.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal -1 binary64)) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)))) |
(*.f64 (pow.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64)))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64))) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64))))) |
(*.f64 (pow.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal 1/36 binary64)) (/.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (pow.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1/216 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal -1/144 binary64)))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (pow.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) |
(pow.f64 (exp.f64 (neg.f64 (log.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal -1/144 binary64)))) (fma.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1/216 binary64))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal -2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
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(+.f64 (fma.f64 x #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1/6 binary64)) |
(+.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) (*.f64 x #s(literal 1/24 binary64))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) |
(+.f64 (*.f64 x #s(literal 1/24 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) |
Compiled 24 704 to 3 952 computations (84% saved)
25 alts after pruning (14 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 572 | 11 | 583 |
| Fresh | 6 | 3 | 9 |
| Picked | 1 | 4 | 5 |
| Done | 2 | 7 | 9 |
| Total | 581 | 25 | 606 |
| Status | Accuracy | Program |
|---|---|---|
| 71.2% | (/.f64 #s(literal -1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (neg.f64 x) x))))) | |
| ✓ | 100.0% | (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
| 91.6% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal 1/576 binary64))) (-.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))) | |
| 92.6% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))) | |
| 91.1% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/24 x) 1/6) (+ (* 1/576 (* x x)) -1/36)) (/.f64 #s(literal 24 binary64) x))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))) | |
| 87.8% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (/ 1 (/ (+ (* 1/24 x) 1/6) (+ (* 1/576 (* x x)) -1/36))) #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))) | |
| ✓ | 82.2% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x))) |
| 34.6% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) x))) | |
| 33.3% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x)) x))) | |
| ✓ | 33.3% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (*.f64 x x))) x))) |
| ✓ | 34.6% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x))) x))) |
| 34.6% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (*.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) x) x)) x))) | |
| 29.7% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) #s(approx (* (+ (* 1/24 x) (- (/ 1/2 x) 1/6)) (* x x)) (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x))) x))) | |
| 31.0% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) #s(approx (* (+ (* 1/24 x) -1/6) (* x x)) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x))) x))) | |
| ✓ | 24.4% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x)) x))) |
| ✓ | 61.5% | #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) |
| ✓ | 2.7% | #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)))) |
| ✓ | 61.7% | #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) |
| 61.6% | #s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x))) | |
| ✓ | 61.4% | #s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) |
| 61.6% | #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (fma.f64 #s(literal 1/12 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) | |
| ✓ | 3.1% | #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x))) |
| ✓ | 3.0% | #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))) |
| 61.5% | #s(approx (/ -1 (- (exp (neg x)) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) | |
| 61.4% | #s(approx (/ -1 (- (exp (neg x)) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) |
Compiled 1 515 to 717 computations (52.7% saved)
| Inputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ -1 (- (exp (neg x)) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x)) x))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (fma.f64 #s(literal 1/12 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) #s(approx (* (+ (* 1/24 x) -1/6) (* x x)) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x))) x))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (neg.f64 x)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) #s(approx (* (+ (* 1/24 x) (- (/ 1/2 x) 1/6)) (* x x)) (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x))) x))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) -1/6) #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (/ 1 (/ (+ (* 1/24 x) 1/6) (+ (* 1/576 (* x x)) -1/36))) #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (*.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) x) x)) x))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x))) x))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/24 x) -1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) x #s(literal -1 binary64)) x))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x)) x))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/24 x) -1/6) x) 1/2) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x)) x #s(literal -1 binary64)) x))) |
#s(approx (/ -1 (- (exp (neg x)) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) (+ 1/2 (/ 1 x))) (*.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))) x))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (*.f64 x x))) x))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/24 x) 1/6) (+ (* 1/576 (* x x)) -1/36)) (/.f64 #s(literal 24 binary64) x))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) x))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/576 binary64) (*.f64 x x))) (-.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/24 binary64) x))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal 1/576 binary64))) (-.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))) |
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
(/.f64 #s(literal -1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (neg.f64 x) x))))) |
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) |
| Outputs |
|---|
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
3 calls:
| 12.0ms | (exp.f64 x) |
| 11.0ms | x |
| 9.0ms | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 100.0% | 1 | (exp.f64 x) |
Compiled 10 to 8 computations (20% saved)
| Inputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ -1 (- (exp (neg x)) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x)) x))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (fma.f64 #s(literal 1/12 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) #s(approx (* (+ (* 1/24 x) -1/6) (* x x)) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x))) x))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (neg.f64 x)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) #s(approx (* (+ (* 1/24 x) (- (/ 1/2 x) 1/6)) (* x x)) (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x))) x))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) -1/6) #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (/ 1 (/ (+ (* 1/24 x) 1/6) (+ (* 1/576 (* x x)) -1/36))) #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (*.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) x) x)) x))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x))) x))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/24 x) -1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) x #s(literal -1 binary64)) x))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x)) x))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/24 x) -1/6) x) 1/2) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x)) x #s(literal -1 binary64)) x))) |
#s(approx (/ -1 (- (exp (neg x)) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) (+ 1/2 (/ 1 x))) (*.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))) x))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (*.f64 x x))) x))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/24 x) 1/6) (+ (* 1/576 (* x x)) -1/36)) (/.f64 #s(literal 24 binary64) x))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) x))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/576 binary64) (*.f64 x x))) (-.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/24 binary64) x))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal 1/576 binary64))) (-.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))) |
| Outputs |
|---|
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))) |
3 calls:
| 13.0ms | x |
| 8.0ms | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 8.0ms | (exp.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.6% | 1 | x |
| 92.6% | 1 | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 92.6% | 1 | (exp.f64 x) |
Compiled 10 to 8 computations (20% saved)
| Inputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ -1 (- (exp (neg x)) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x)) x))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (fma.f64 #s(literal 1/12 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) #s(approx (* (+ (* 1/24 x) -1/6) (* x x)) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x))) x))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (neg.f64 x)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) #s(approx (* (+ (* 1/24 x) (- (/ 1/2 x) 1/6)) (* x x)) (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x))) x))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) -1/6) #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (/ 1 (/ (+ (* 1/24 x) 1/6) (+ (* 1/576 (* x x)) -1/36))) #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (*.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) x) x)) x))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x))) x))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/24 x) -1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) x #s(literal -1 binary64)) x))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x)) x))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/24 x) -1/6) x) 1/2) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x)) x #s(literal -1 binary64)) x))) |
#s(approx (/ -1 (- (exp (neg x)) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) (+ 1/2 (/ 1 x))) (*.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))) x))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (*.f64 x x))) x))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/24 x) 1/6) (+ (* 1/576 (* x x)) -1/36)) (/.f64 #s(literal 24 binary64) x))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) x))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/576 binary64) (*.f64 x x))) (-.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/24 binary64) x))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal 1/576 binary64))) (-.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))) |
| Outputs |
|---|
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))) |
3 calls:
| 11.0ms | x |
| 7.0ms | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 7.0ms | (exp.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.6% | 1 | x |
| 91.6% | 1 | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 91.6% | 1 | (exp.f64 x) |
Compiled 10 to 8 computations (20% saved)
| Inputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ -1 (- (exp (neg x)) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x)) x))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (fma.f64 #s(literal 1/12 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) #s(approx (* (+ (* 1/24 x) -1/6) (* x x)) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x))) x))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (neg.f64 x)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) #s(approx (* (+ (* 1/24 x) (- (/ 1/2 x) 1/6)) (* x x)) (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x))) x))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) -1/6) #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (/ 1 (/ (+ (* 1/24 x) 1/6) (+ (* 1/576 (* x x)) -1/36))) #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (*.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) x) x)) x))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x))) x))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/24 x) -1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) x #s(literal -1 binary64)) x))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x)) x))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/24 x) -1/6) x) 1/2) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x)) x #s(literal -1 binary64)) x))) |
#s(approx (/ -1 (- (exp (neg x)) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
| Outputs |
|---|
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/24 x) -1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) x #s(literal -1 binary64)) x))) |
3 calls:
| 8.0ms | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 7.0ms | x |
| 6.0ms | (exp.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.4% | 1 | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 90.4% | 1 | (exp.f64 x) |
| 90.4% | 1 | x |
Compiled 10 to 8 computations (20% saved)
| Inputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ -1 (- (exp (neg x)) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x)) x))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (fma.f64 #s(literal 1/12 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) #s(approx (* (+ (* 1/24 x) -1/6) (* x x)) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x))) x))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (neg.f64 x)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) #s(approx (* (+ (* 1/24 x) (- (/ 1/2 x) 1/6)) (* x x)) (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x))) x))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) -1/6) #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (/ 1 (/ (+ (* 1/24 x) 1/6) (+ (* 1/576 (* x x)) -1/36))) #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (*.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) x) x)) x))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x))) x))) |
| Outputs |
|---|
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (*.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) x) x)) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) |
3 calls:
| 6.0ms | x |
| 5.0ms | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 5.0ms | (exp.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.7% | 2 | x |
| 91.7% | 2 | (exp.f64 x) |
| 90.3% | 2 | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
Compiled 10 to 8 computations (20% saved)
| Inputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ -1 (- (exp (neg x)) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x)) x))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (fma.f64 #s(literal 1/12 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) #s(approx (* (+ (* 1/24 x) -1/6) (* x x)) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x))) x))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (neg.f64 x)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) #s(approx (* (+ (* 1/24 x) (- (/ 1/2 x) 1/6)) (* x x)) (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x))) x))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) -1/6) #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (/ 1 (/ (+ (* 1/24 x) 1/6) (+ (* 1/576 (* x x)) -1/36))) #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) |
| Outputs |
|---|
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))) |
3 calls:
| 51.0ms | (exp.f64 x) |
| 6.0ms | x |
| 5.0ms | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.8% | 1 | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 87.8% | 1 | (exp.f64 x) |
| 87.8% | 1 | x |
Compiled 10 to 8 computations (20% saved)
| Inputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ -1 (- (exp (neg x)) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x)) x))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (fma.f64 #s(literal 1/12 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) #s(approx (* (+ (* 1/24 x) -1/6) (* x x)) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x))) x))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (neg.f64 x)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) #s(approx (* (+ (* 1/24 x) (- (/ 1/2 x) 1/6)) (* x x)) (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x))) x))) |
| Outputs |
|---|
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) #s(approx (* (+ (* 1/24 x) (- (/ 1/2 x) 1/6)) (* x x)) (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x))) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (fma.f64 #s(literal 1/12 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) |
3 calls:
| 5.0ms | (exp.f64 x) |
| 5.0ms | x |
| 4.0ms | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.6% | 2 | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 88.0% | 2 | (exp.f64 x) |
| 88.0% | 2 | x |
Compiled 10 to 8 computations (20% saved)
| Inputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ -1 (- (exp (neg x)) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x)) x))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (fma.f64 #s(literal 1/12 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) #s(approx (* (+ (* 1/24 x) -1/6) (* x x)) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x))) x))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (neg.f64 x)))) |
| Outputs |
|---|
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) #s(approx (* (+ (* 1/24 x) -1/6) (* x x)) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x))) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (fma.f64 #s(literal 1/12 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) |
2 calls:
| 4.0ms | x |
| 3.0ms | (exp.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.0% | 2 | x |
| 88.0% | 2 | (exp.f64 x) |
Compiled 3 to 3 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ -1 (- (exp (neg x)) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x)) x))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (fma.f64 #s(literal 1/12 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) |
| Outputs |
|---|
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x))) |
3 calls:
| 4.0ms | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 4.0ms | x |
| 3.0ms | (exp.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.2% | 1 | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 82.2% | 1 | x |
| 82.2% | 1 | (exp.f64 x) |
Compiled 10 to 8 computations (20% saved)
| Inputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ -1 (- (exp (neg x)) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x)) x))) |
| Outputs |
|---|
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x)) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x))) |
3 calls:
| 3.0ms | x |
| 3.0ms | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 3.0ms | (exp.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.7% | 2 | (exp.f64 x) |
| 81.4% | 2 | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 82.7% | 2 | x |
Compiled 10 to 8 computations (20% saved)
| Inputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ -1 (- (exp (neg x)) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) |
| Outputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) |
3 calls:
| 3.0ms | x |
| 2.0ms | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 2.0ms | (exp.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.7% | 1 | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 61.7% | 1 | (exp.f64 x) |
| 61.7% | 1 | x |
Compiled 10 to 8 computations (20% saved)
| Inputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)))) |
| Outputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x))) |
3 calls:
| 29.0ms | (exp.f64 x) |
| 2.0ms | x |
| 1.0ms | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 3.1% | 1 | x |
| 3.1% | 1 | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 3.1% | 1 | (exp.f64 x) |
Compiled 10 to 8 computations (20% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))) |
3 calls:
| 1.0ms | x |
| 1.0ms | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 1.0ms | (exp.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 3.0% | 1 | x |
| 3.0% | 1 | (exp.f64 x) |
| 3.0% | 1 | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
Compiled 10 to 8 computations (20% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | -783608.6259999751 | -0.00286897738220959 |
| 7.0ms | 144× | 0 | valid |
Compiled 487 to 386 computations (20.7% saved)
ival-exp: 2.0ms (47.6% of total)ival-div: 1.0ms (23.8% of total)ival-expm1: 1.0ms (23.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 4.0ms | -783608.6259999751 | -0.00286897738220959 |
| 2.0ms | 32× | 0 | valid |
Compiled 649 to 476 computations (26.7% saved)
ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-exp: 0.0ms (0% of total)ival-expm1: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 0.9971351342004477 |
Compiled 9 to 9 computations (0% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 9.0ms | -783608.6259999751 | -0.00286897738220959 |
| 4.0ms | 96× | 0 | valid |
Compiled 325 to 278 computations (14.5% saved)
ival-div: 1.0ms (37.2% of total)ival-exp: 1.0ms (37.2% of total)ival-expm1: 1.0ms (37.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 129 | 405 |
| 1 | 154 | 405 |
| 2 | 162 | 405 |
| 3 | 167 | 405 |
| 4 | 169 | 405 |
| 5 | 170 | 405 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/24 x) -1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) x #s(literal -1 binary64)) x))) |
(if (<=.f64 x #s(literal -4165829655317709/1125899906842624 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (*.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) x) x)) x))) #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))) |
(if (<=.f64 x #s(literal -7/2 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) #s(approx (* (+ (* 1/24 x) (- (/ 1/2 x) 1/6)) (* x x)) (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x))) x))) #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (fma.f64 #s(literal 1/12 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))))) |
(if (<=.f64 (exp.f64 x) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) #s(approx (* (+ (* 1/24 x) -1/6) (* x x)) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x))) x))) #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (fma.f64 #s(literal 1/12 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x))) |
(if (<=.f64 x #s(literal -9/2 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x)) x))) #s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))) |
| Outputs |
|---|
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/24 x) -1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) x #s(literal -1 binary64)) x))) |
(if (<=.f64 x #s(literal -4165829655317709/1125899906842624 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (*.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) x) x)) x))) #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) |
(if (<=.f64 x #s(literal -4165829655317709/1125899906842624 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (*.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) x) x)) x))) #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))) |
(if (<=.f64 x #s(literal -7/2 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) #s(approx (* (+ (* 1/24 x) (- (/ 1/2 x) 1/6)) (* x x)) (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x))) x))) #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (fma.f64 #s(literal 1/12 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))))) |
(if (<=.f64 (exp.f64 x) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) #s(approx (* (+ (* 1/24 x) -1/6) (* x x)) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x))) x))) #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (fma.f64 #s(literal 1/12 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x))) |
(if (<=.f64 x #s(literal -9/2 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x)) x))) #s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 111 |
| 1 | 122 | 111 |
| 2 | 258 | 111 |
| 3 | 574 | 111 |
| 4 | 829 | 111 |
| 5 | 972 | 111 |
| 6 | 994 | 111 |
| 7 | 1088 | 105 |
| 8 | 1506 | 105 |
| 9 | 1981 | 105 |
| 10 | 3369 | 105 |
| 11 | 4928 | 105 |
| 12 | 5214 | 105 |
| 13 | 5579 | 105 |
| 14 | 6128 | 105 |
| 15 | 6868 | 105 |
| 0 | 10258 | 87 |
| 0 | 60 | 454 |
| 0 | 86 | 463 |
| 1 | 351 | 397 |
| 2 | 2656 | 397 |
| 0 | 8535 | 373 |
| 0 | 163 | 680 |
| 1 | 443 | 658 |
| 2 | 1328 | 642 |
| 3 | 4210 | 600 |
| 0 | 8488 | 535 |
| 0 | 22 | 109 |
| 0 | 35 | 109 |
| 1 | 150 | 109 |
| 2 | 1132 | 101 |
| 0 | 8381 | 101 |
| 0 | 5 | 13 |
| 0 | 8 | 13 |
| 1 | 33 | 13 |
| 2 | 188 | 13 |
| 3 | 1808 | 13 |
| 0 | 8774 | 9 |
| 0 | 98 | 278 |
| 1 | 250 | 277 |
| 2 | 692 | 267 |
| 3 | 2090 | 254 |
| 4 | 6061 | 236 |
| 0 | 8235 | 201 |
| 0 | 186 | 557 |
| 1 | 478 | 548 |
| 2 | 1185 | 536 |
| 3 | 3115 | 525 |
| 0 | 8363 | 458 |
| 0 | 44 | 270 |
| 0 | 67 | 270 |
| 1 | 265 | 270 |
| 2 | 2093 | 270 |
| 0 | 9263 | 254 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 747 to 409 computations (45.2% saved)
Compiled 836 to 294 computations (64.8% saved)
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