
Time bar (total: 7.8s)
| 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)
| 591.0ms | 8 256× | 0 | valid |
ival-exp: 95.0ms (39.5% of total)ival-div: 67.0ms (27.8% of total)ival-expm1: 47.0ms (19.5% of total)ival->: 21.0ms (8.7% of total)exact: 7.0ms (2.9% of total)ival-assert: 4.0ms (1.7% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 170 | 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 | 170 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 170 | 0 |
| - | 0 | 86 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 170 | 0 | 0 |
| - | 0 | 0 | 86 |
| number | freq |
|---|---|
| 0 | 86 |
| 1 | 170 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 23.0ms | 512× | 0 | valid |
Compiled 42 to 19 computations (54.8% saved)
ival-exp: 4.0ms (35.2% of total)ival-div: 3.0ms (26.4% of total)ival-expm1: 3.0ms (26.4% 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 |
| 116× | div-sub |
| 78× | times-frac |
| 76× | sub-neg |
| 64× | distribute-rgt-in |
| 64× | associate-/r* |
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 8 to 5 computations (37.5% saved)
Compiled 1 to 1 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 37.0% | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
Compiled 8 to 5 computations (37.5% 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)) |
| 4× | lower-+.f64 |
| 4× | lower-+.f32 |
| 2× | lower-expm1.f64 |
| 2× | lift-exp.f64 |
| 2× | lift-/.f64 |
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 | (exp.f64 x) | |
| accuracy | 0.015625 | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) | |
| accuracy | 39.34575439603359 | (-.f64 (exp.f64 x) #s(literal 1 binary64)) |
| 11.0ms | 256× | 0 | valid |
Compiled 17 to 7 computations (58.8% saved)
ival-div: 2.0ms (36% of total)ival-exp: 2.0ms (36% of total)ival-expm1: 1.0ms (18% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (-.f64 (exp.f64 x) #s(literal 1 binary64))> |
#<alt (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))> |
#<alt (exp.f64 x)> |
| Outputs |
|---|
#<alt x> |
#<alt (* x (+ 1 (* 1/2 x)))> |
#<alt (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))> |
#<alt (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))> |
#<alt (/ 1 x)> |
#<alt (/ (+ 1 (* 1/2 x)) x)> |
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)> |
#<alt (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))> |
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))> |
#<alt (- (exp x) 1)> |
#<alt (- (exp x) 1)> |
#<alt (- (exp x) 1)> |
#<alt (- (exp x) 1)> |
#<alt (/ (exp x) (- (exp x) 1))> |
#<alt (/ (exp x) (- (exp x) 1))> |
#<alt (/ (exp x) (- (exp x) 1))> |
#<alt (/ (exp x) (- (exp x) 1))> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (- (exp x) 1)> |
#<alt (- (exp x) 1)> |
#<alt (- (exp x) 1)> |
#<alt (- (exp x) 1)> |
#<alt (/ (exp x) (- (exp x) 1))> |
#<alt (/ (exp x) (- (exp x) 1))> |
#<alt (/ (exp x) (- (exp x) 1))> |
#<alt (/ (exp x) (- (exp x) 1))> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (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)) |
| 0.0ms | x | @ | 0 | ((- (exp x) 1) (/ (exp x) (- (exp x) 1)) (exp x)) |
| 1× | egg-herbie |
| 10 384× | lower-fma.f64 |
| 10 384× | lower-fma.f32 |
| 4 444× | lower-*.f64 |
| 4 444× | lower-*.f32 |
| 1 888× | associate-/r/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 202 |
| 1 | 122 | 202 |
| 2 | 258 | 202 |
| 3 | 574 | 202 |
| 4 | 829 | 202 |
| 5 | 972 | 202 |
| 6 | 994 | 202 |
| 7 | 1088 | 196 |
| 8 | 1506 | 196 |
| 9 | 1981 | 196 |
| 10 | 3369 | 196 |
| 11 | 4928 | 196 |
| 12 | 5214 | 196 |
| 13 | 5579 | 196 |
| 14 | 6128 | 196 |
| 15 | 6868 | 196 |
| 0 | 10258 | 150 |
| 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) 1) |
(- (exp x) 1) |
(- (exp x) 1) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(- (exp x) 1) |
(- (exp x) 1) |
(- (exp x) 1) |
(- (exp x) 1) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
| Outputs |
|---|
x |
(* x (+ 1 (* 1/2 x))) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x) |
(* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) |
(fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) |
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) |
(fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* 1/2 x)) x) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x))) |
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(- (exp x) 1) |
(expm1.f64 x) |
(- (exp x) 1) |
(expm1.f64 x) |
(- (exp x) 1) |
(expm1.f64 x) |
(- (exp x) 1) |
(expm1.f64 x) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(- (exp x) 1) |
(expm1.f64 x) |
(- (exp x) 1) |
(expm1.f64 x) |
(- (exp x) 1) |
(expm1.f64 x) |
(- (exp x) 1) |
(expm1.f64 x) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
| 5 384× | lower-/.f32 |
| 5 382× | lower-/.f64 |
| 3 398× | lower-fma.f64 |
| 3 398× | lower-fma.f32 |
| 3 144× | lower-*.f64 |
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 |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (expm1.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (expm1.f64 x)) #s(literal -1 binary64)))) |
(+.f64 (exp.f64 x) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (exp.f64 x)) |
(+.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))) |
(+.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) |
(-.f64 (exp.f64 x) #s(literal 1 binary64)) |
(-.f64 #s(literal 0 binary64) (neg.f64 (expm1.f64 x))) |
(-.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x))) |
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) |
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (neg.f64 (expm1.f64 x))) |
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 9 binary64))) (+.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) |
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) |
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 9 binary64))) (+.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))))))) |
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))))))) |
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (neg.f64 (exp.f64 x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (neg.f64 (exp.f64 x)))))) |
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 9 binary64))) (+.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (neg.f64 (exp.f64 x))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (neg.f64 (exp.f64 x)))))) |
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (neg.f64 (exp.f64 x))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (neg.f64 (exp.f64 x)))))) |
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (+.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (exp.f64 (+.f64 x x)))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (exp.f64 (+.f64 x x)))) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (neg.f64 (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (+.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (exp.f64 (+.f64 x x)))) (neg.f64 (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (exp.f64 (+.f64 x x)))) (neg.f64 (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))))) |
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(expm1.f64 x) |
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(fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal -1 binary64)) |
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(fma.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)) #s(literal -1 binary64)) |
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 x)) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (*.f64 (expm1.f64 (+.f64 x x)) #s(literal 1 binary64)))) |
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(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (exp.f64 (+.f64 x x))) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (exp.f64 (+.f64 x x))) (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (exp.f64 (+.f64 x x)))) (*.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (exp.f64 (+.f64 x x))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (exp.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (-.f64 (*.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (exp.f64 x)) (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (exp.f64 x))) (*.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (exp.f64 x)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (exp.f64 x)) (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (exp.f64 x)) (-.f64 (*.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) #s(literal 1 binary64)) (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) #s(literal 1 binary64))) (*.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (exp.f64 x)) (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) #s(literal 1 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (exp.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) #s(literal 1 binary64)) (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (exp.f64 x)) (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (exp.f64 x))) (*.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) #s(literal 1 binary64)) (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (exp.f64 x)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 (+.f64 x x)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64))))) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64))))) #s(literal 3 binary64))) (fma.f64 (*.f64 (exp.f64 (+.f64 x x)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64))))) (*.f64 (exp.f64 (+.f64 x x)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64))))) (-.f64 (*.f64 (*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64))))) (*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))))) (*.f64 (*.f64 (exp.f64 (+.f64 x x)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64))))) (*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64))))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64))))) #s(literal 3 binary64)) (pow.f64 (*.f64 (exp.f64 (+.f64 x x)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64))))) #s(literal 3 binary64))) (fma.f64 (*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64))))) (*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64))))) (-.f64 (*.f64 (*.f64 (exp.f64 (+.f64 x x)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64))))) (*.f64 (exp.f64 (+.f64 x x)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))))) (*.f64 (*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64))))) (*.f64 (exp.f64 (+.f64 x x)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64))))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64))))) #s(literal 3 binary64)) (pow.f64 (*.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64))))) #s(literal 3 binary64))) (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64))))) (-.f64 (*.f64 (*.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64))))) (*.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64))))) (*.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64))))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) #s(literal 3 binary64))) (fma.f64 (*.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x)))) (*.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x)))) (-.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x)))) (*.f64 (*.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x)))) (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 x))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 x))) (/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 x))) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 x))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (expm1.f64 x)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) (expm1.f64 x)) (/.f64 #s(literal 0 binary64) (expm1.f64 x)) (fma.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 x))) (/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 x))) (*.f64 (/.f64 #s(literal 0 binary64) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 x))))))) |
(pow.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) #s(literal 1 binary64)) |
(pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (neg.f64 (expm1.f64 (neg.f64 x))) (neg.f64 (expm1.f64 (neg.f64 x)))) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (-.f64 (log.f64 (expm1.f64 x)) x)) #s(literal -1 binary64)) |
(*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (expm1.f64 x))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) #s(literal 1 binary64)) |
(*.f64 (neg.f64 (exp.f64 x)) (/.f64 #s(literal -1 binary64) (expm1.f64 x))) |
(*.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64))))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 x)))) |
(*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (pow.f64 (/.f64 (expm1.f64 x) (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 x)) |
(*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (neg.f64 (exp.f64 x))) |
(*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (pow.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (*.f64 x #s(literal 3 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (/.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (exp.f64 x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (*.f64 x #s(literal 3 binary64))))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x x))) (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x x))) (/.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x x))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (exp.f64 x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x x))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x)))) #s(literal -1 binary64))) |
(*.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 (/.f64 (neg.f64 (exp.f64 x)) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (exp.f64 x) (neg.f64 (expm1.f64 (+.f64 x x)))) (neg.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (expm1.f64 x))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x))) #s(literal -1 binary64)) (pow.f64 (/.f64 (expm1.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(exp.f64 x) |
(exp.f64 (*.f64 x #s(literal 1 binary64))) |
(exp.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 x))) |
(neg.f64 (neg.f64 (exp.f64 x))) |
(/.f64 (exp.f64 x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))))) (+.f64 #s(literal 0 binary64) (+.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 x)))))) |
(pow.f64 (exp.f64 x) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)) |
(*.f64 (exp.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (exp.f64 x)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64))) |
Compiled 9 762 to 1 204 computations (87.7% saved)
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 407 | 6 | 413 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 407 | 7 | 414 |
| Status | Accuracy | Program |
|---|---|---|
| 100.0% | (/.f64 (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x))) (expm1.f64 (+.f64 x x))) | |
| ✓ | 37.0% | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| ▶ | 100.0% | (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
| ▶ | 67.5% | #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) |
| ▶ | 67.5% | #s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)))) |
| ▶ | 67.2% | #s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) |
| ▶ | 67.5% | #s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x)))) |
Compiled 120 to 79 computations (34.2% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (+.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | #s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (fma.f64 x #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x))) | |
| cost-diff | 0 | #s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x)))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) | |
| 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))) |
| 196× | lower-+.f32 |
| 190× | lower-+.f64 |
| 182× | lower-fma.f32 |
| 176× | lower-fma.f64 |
| 80× | associate-+r+ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 149 |
| 0 | 39 | 149 |
| 1 | 67 | 149 |
| 2 | 107 | 149 |
| 3 | 136 | 149 |
| 4 | 145 | 149 |
| 5 | 151 | 149 |
| 6 | 184 | 149 |
| 7 | 244 | 149 |
| 8 | 274 | 149 |
| 9 | 280 | 149 |
| 0 | 280 | 141 |
| 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 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(literal 1/2 binary64) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x))) |
#s(literal 1/2 binary64) |
(fma.f64 x #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x)) |
x |
#s(literal 1/12 binary64) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)))) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) |
#s(literal -1/720 binary64) |
(*.f64 x x) |
#s(literal 1/12 binary64) |
#s(literal 1/2 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 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(literal 1/2 binary64) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x))) |
#s(literal 1/2 binary64) |
(fma.f64 x #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x)) |
x |
#s(literal 1/12 binary64) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (/.f64 #s(literal 1 binary64) x)))) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))) |
(+.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) (/.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) |
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) |
#s(literal -1/720 binary64) |
(*.f64 x x) |
#s(literal 1/12 binary64) |
#s(literal 1/2 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.01171875 | (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) | |
| accuracy | 0.01171875 | (+.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))) | |
| accuracy | 0.05078125 | (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) | |
| accuracy | 20.789259239779568 | #s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)))) | |
| accuracy | 0 | (/.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.00390625 | (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x))) | |
| accuracy | 0.10546875 | (fma.f64 x #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 20.812037377218854 | #s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x)))) | |
| accuracy | 0 | (/.f64 #s(literal 1 binary64) x) | |
| accuracy | 0 | (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) | |
| accuracy | 20.979059107778433 | #s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) | |
| accuracy | 0 | (/.f64 #s(literal 1 binary64) x) | |
| accuracy | 20.79481761433532 | #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0.00390625 | (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) | |
| accuracy | 0.00390625 | (expm1.f64 (neg.f64 x)) |
| 45.0ms | 256× | 0 | valid |
Compiled 129 to 25 computations (80.6% saved)
ival-add: 6.0ms (19.5% of total)ival-mult: 6.0ms (19.5% of total)const: 6.0ms (19.5% of total)ival-div: 5.0ms (16.2% 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 |
|---|
#<alt (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))> |
#<alt (expm1.f64 (neg.f64 x))> |
#<alt (neg.f64 x)> |
#<alt #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))> |
#<alt (/.f64 #s(literal 1 binary64) x)> |
#<alt #s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))> |
#<alt (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))> |
#<alt #s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x))))> |
#<alt (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x)))> |
#<alt (fma.f64 x #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x))> |
#<alt #s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))))> |
#<alt (+.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)))> |
#<alt (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))> |
#<alt (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))> |
| Outputs |
|---|
#<alt (/ 1 x)> |
#<alt (/ (+ 1 (* 1/2 x)) x)> |
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)> |
#<alt (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)> |
#<alt (* -1 x)> |
#<alt (* x (- (* 1/2 x) 1))> |
#<alt (* x (- (* x (+ 1/2 (* -1/6 x))) 1))> |
#<alt (* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (/ 1 x)> |
#<alt (/ (+ 1 (* 1/2 x)) x)> |
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)> |
#<alt (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ (+ 1 (* 1/2 x)) x)> |
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)> |
#<alt (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)> |
#<alt (/ 1 x)> |
#<alt (/ (+ 1 (* 1/2 x)) x)> |
#<alt (/ (+ 1 (* 1/2 x)) x)> |
#<alt (/ (+ 1 (* 1/2 x)) x)> |
#<alt (/ 1 x)> |
#<alt (/ (+ 1 (* 1/2 x)) x)> |
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)> |
#<alt (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)> |
#<alt (/ 1 x)> |
#<alt (/ (+ 1 (* 1/2 x)) x)> |
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)> |
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)> |
#<alt (/ 1 x)> |
#<alt (/ (+ 1 (* 1/12 (pow x 2))) x)> |
#<alt (/ (+ 1 (* 1/12 (pow x 2))) x)> |
#<alt (/ (+ 1 (* 1/12 (pow x 2))) x)> |
#<alt (/ 1 x)> |
#<alt (/ (+ 1 (* 1/2 x)) x)> |
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)> |
#<alt (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)> |
#<alt (/ 1 x)> |
#<alt (/ (+ 1 (* 1/2 x)) x)> |
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)> |
#<alt (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/12 x))> |
#<alt (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2)))))> |
#<alt (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2)))))> |
#<alt 1/12> |
#<alt (+ 1/12 (* -1/720 (pow x 2)))> |
#<alt (+ 1/12 (* -1/720 (pow x 2)))> |
#<alt (+ 1/12 (* -1/720 (pow x 2)))> |
#<alt (/ -1 (- (exp (neg x)) 1))> |
#<alt (/ -1 (- (exp (neg x)) 1))> |
#<alt (/ -1 (- (exp (neg x)) 1))> |
#<alt (/ -1 (- (exp (neg x)) 1))> |
#<alt (- (exp (neg x)) 1)> |
#<alt (- (exp (neg x)) 1)> |
#<alt (- (exp (neg x)) 1)> |
#<alt (- (exp (neg x)) 1)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (/ (exp x) (- (exp x) 1))> |
#<alt (/ (exp x) (- (exp x) 1))> |
#<alt (/ (exp x) (- (exp x) 1))> |
#<alt (/ (exp x) (- (exp x) 1))> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ (exp x) (- (exp x) 1))> |
#<alt (/ (exp x) (- (exp x) 1))> |
#<alt (/ (exp x) (- (exp x) 1))> |
#<alt (/ (exp x) (- (exp x) 1))> |
#<alt 1/2> |
#<alt (+ 1/2 (/ 1 x))> |
#<alt (+ 1/2 (/ 1 x))> |
#<alt (+ 1/2 (/ 1 x))> |
#<alt (/ (exp x) (- (exp x) 1))> |
#<alt (/ (exp x) (- (exp x) 1))> |
#<alt (/ (exp x) (- (exp x) 1))> |
#<alt (/ (exp x) (- (exp x) 1))> |
#<alt (* 1/12 x)> |
#<alt (* x (+ 1/12 (* 1/2 (/ 1 x))))> |
#<alt (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))> |
#<alt (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))> |
#<alt (* 1/12 x)> |
#<alt (* x (+ 1/12 (/ 1 (pow x 2))))> |
#<alt (* x (+ 1/12 (/ 1 (pow x 2))))> |
#<alt (* x (+ 1/12 (/ 1 (pow x 2))))> |
#<alt (/ (exp x) (- (exp x) 1))> |
#<alt (/ (exp x) (- (exp x) 1))> |
#<alt (/ (exp x) (- (exp x) 1))> |
#<alt (/ (exp x) (- (exp x) 1))> |
#<alt (* -1/720 (pow x 3))> |
#<alt (* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))> |
#<alt (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))> |
#<alt (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))> |
#<alt (* -1/720 (pow x 3))> |
#<alt (* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))> |
#<alt (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))> |
#<alt (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))> |
#<alt (* -1/720 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))> |
#<alt (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))> |
#<alt (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))> |
#<alt (/ -1 (- (exp (* -1 x)) 1))> |
#<alt (/ -1 (- (exp (* -1 x)) 1))> |
#<alt (/ -1 (- (exp (* -1 x)) 1))> |
#<alt (/ -1 (- (exp (* -1 x)) 1))> |
#<alt (- (exp (* -1 x)) 1)> |
#<alt (- (exp (* -1 x)) 1)> |
#<alt (- (exp (* -1 x)) 1)> |
#<alt (- (exp (* -1 x)) 1)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (/ (exp x) (- (exp x) 1))> |
#<alt (/ (exp x) (- (exp x) 1))> |
#<alt (/ (exp x) (- (exp x) 1))> |
#<alt (/ (exp x) (- (exp x) 1))> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ (exp x) (- (exp x) 1))> |
#<alt (/ (exp x) (- (exp x) 1))> |
#<alt (/ (exp x) (- (exp x) 1))> |
#<alt (/ (exp x) (- (exp x) 1))> |
#<alt 1/2> |
#<alt (+ 1/2 (/ 1 x))> |
#<alt (+ 1/2 (/ 1 x))> |
#<alt (+ 1/2 (/ 1 x))> |
#<alt (/ (exp x) (- (exp x) 1))> |
#<alt (/ (exp x) (- (exp x) 1))> |
#<alt (/ (exp x) (- (exp x) 1))> |
#<alt (/ (exp x) (- (exp x) 1))> |
#<alt (* 1/12 x)> |
#<alt (* x (+ 1/12 (* 1/2 (/ 1 x))))> |
#<alt (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))> |
#<alt (* 1/12 x)> |
#<alt (* x (+ 1/12 (/ 1 (pow x 2))))> |
#<alt (* x (+ 1/12 (/ 1 (pow x 2))))> |
#<alt (* x (+ 1/12 (/ 1 (pow x 2))))> |
#<alt (/ (exp x) (- (exp x) 1))> |
#<alt (/ (exp x) (- (exp x) 1))> |
#<alt (/ (exp x) (- (exp x) 1))> |
#<alt (/ (exp x) (- (exp x) 1))> |
#<alt (* -1/720 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2))))))> |
#<alt (* -1/720 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))> |
#<alt (* -1/720 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))> |
#<alt (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))> |
#<alt (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))> |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | 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 x) 1/2) (/ (exp x) (- (exp x) 1)) (+ 1/2 (+ (* x 1/12) (/ 1 x))) (+ (* x 1/12) (/ 1 x)) (/ (exp x) (- (exp x) 1)) (+ (/ 1 x) (+ (* x (+ (* -1/720 (* x x)) 1/12)) 1/2)) (+ (* x (+ (* -1/720 (* x x)) 1/12)) 1/2) (+ (* -1/720 (* x x)) 1/12)) |
| 3.0ms | 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 x) 1/2) (/ (exp x) (- (exp x) 1)) (+ 1/2 (+ (* x 1/12) (/ 1 x))) (+ (* x 1/12) (/ 1 x)) (/ (exp x) (- (exp x) 1)) (+ (/ 1 x) (+ (* x (+ (* -1/720 (* x x)) 1/12)) 1/2)) (+ (* x (+ (* -1/720 (* x x)) 1/12)) 1/2) (+ (* -1/720 (* x x)) 1/12)) |
| 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 x) 1/2) (/ (exp x) (- (exp x) 1)) (+ 1/2 (+ (* x 1/12) (/ 1 x))) (+ (* x 1/12) (/ 1 x)) (/ (exp x) (- (exp x) 1)) (+ (/ 1 x) (+ (* x (+ (* -1/720 (* x x)) 1/12)) 1/2)) (+ (* x (+ (* -1/720 (* x x)) 1/12)) 1/2) (+ (* -1/720 (* x x)) 1/12)) |
| 1× | egg-herbie |
| 9 162× | lower-fma.f64 |
| 9 162× | lower-fma.f32 |
| 2 622× | lower-*.f64 |
| 2 622× | lower-*.f32 |
| 1 666× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 103 | 1179 |
| 1 | 264 | 1178 |
| 2 | 709 | 1150 |
| 3 | 2076 | 1133 |
| 4 | 6339 | 1099 |
| 0 | 8322 | 915 |
| 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 x) |
(* -1 x) |
(* -1 x) |
(* -1 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 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 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 x) |
(/ (+ 1 (* 1/2 x)) x) |
(/ (+ 1 (* 1/2 x)) x) |
(/ (+ 1 (* 1/2 x)) 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 x) |
(/ (+ 1 (* 1/2 x)) x) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(/ 1 x) |
(/ (+ 1 (* 1/12 (pow x 2))) x) |
(/ (+ 1 (* 1/12 (pow x 2))) x) |
(/ (+ 1 (* 1/12 (pow x 2))) 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 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) |
1/2 |
(+ 1/2 (* 1/12 x)) |
(+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))) |
(+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))) |
1/12 |
(+ 1/12 (* -1/720 (pow x 2))) |
(+ 1/12 (* -1/720 (pow x 2))) |
(+ 1/12 (* -1/720 (pow x 2))) |
(/ -1 (- (exp (neg x)) 1)) |
(/ -1 (- (exp (neg x)) 1)) |
(/ -1 (- (exp (neg x)) 1)) |
(/ -1 (- (exp (neg x)) 1)) |
(- (exp (neg x)) 1) |
(- (exp (neg x)) 1) |
(- (exp (neg x)) 1) |
(- (exp (neg x)) 1) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
1/2 |
(+ 1/2 (/ 1 x)) |
(+ 1/2 (/ 1 x)) |
(+ 1/2 (/ 1 x)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(* 1/12 x) |
(* x (+ 1/12 (* 1/2 (/ 1 x)))) |
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(* 1/12 x) |
(* x (+ 1/12 (/ 1 (pow x 2)))) |
(* x (+ 1/12 (/ 1 (pow x 2)))) |
(* x (+ 1/12 (/ 1 (pow x 2)))) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(* -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 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)))) 1/720)) |
(* -1/720 (pow x 2)) |
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(/ -1 (- (exp (* -1 x)) 1)) |
(/ -1 (- (exp (* -1 x)) 1)) |
(/ -1 (- (exp (* -1 x)) 1)) |
(/ -1 (- (exp (* -1 x)) 1)) |
(- (exp (* -1 x)) 1) |
(- (exp (* -1 x)) 1) |
(- (exp (* -1 x)) 1) |
(- (exp (* -1 x)) 1) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
1/2 |
(+ 1/2 (/ 1 x)) |
(+ 1/2 (/ 1 x)) |
(+ 1/2 (/ 1 x)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(* 1/12 x) |
(* x (+ 1/12 (* 1/2 (/ 1 x)))) |
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12))) |
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12))) |
(* 1/12 x) |
(* x (+ 1/12 (/ 1 (pow x 2)))) |
(* x (+ 1/12 (/ 1 (pow x 2)))) |
(* x (+ 1/12 (/ 1 (pow x 2)))) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(* -1/720 (pow x 3)) |
(* -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)))))) |
(* -1/720 (pow x 3)) |
(* -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 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2)))))) |
(* -1/720 (pow x 2)) |
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
| Outputs |
|---|
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* 1/2 x)) x) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) |
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* 1/2 x) 1)) |
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) |
(* x (- (* x (+ 1/2 (* -1/6 x))) 1)) |
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1)) |
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* 1/2 x)) x) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) |
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* 1/2 x)) x) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) |
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* 1/2 x)) x) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(/ (+ 1 (* 1/2 x)) x) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(/ (+ 1 (* 1/2 x)) x) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* 1/2 x)) x) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) |
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* 1/2 x)) x) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* 1/12 (pow x 2))) x) |
(/.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) x) |
(/ (+ 1 (* 1/12 (pow x 2))) x) |
(/.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) x) |
(/ (+ 1 (* 1/12 (pow x 2))) x) |
(/.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* 1/2 x)) x) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) |
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* 1/2 x)) x) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) |
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/12 x)) |
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))) |
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))) |
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) |
1/12 |
#s(literal 1/12 binary64) |
(+ 1/12 (* -1/720 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) |
(+ 1/12 (* -1/720 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) |
(+ 1/12 (* -1/720 (pow x 2))) |
(fma.f64 x (*.f64 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))) |
(/ -1 (- (exp (neg x)) 1)) |
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
(/ -1 (- (exp (neg x)) 1)) |
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 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 (neg x)) 1) |
(expm1.f64 (neg.f64 x)) |
(- (exp (neg x)) 1) |
(expm1.f64 (neg.f64 x)) |
(- (exp (neg x)) 1) |
(expm1.f64 (neg.f64 x)) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.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 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(+ 1/2 (/ 1 x)) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(+ 1/2 (/ 1 x)) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* x (+ 1/12 (* 1/2 (/ 1 x)))) |
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) |
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) |
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* x (+ 1/12 (/ 1 (pow x 2)))) |
(fma.f64 x #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x)) |
(* x (+ 1/12 (/ 1 (pow x 2)))) |
(fma.f64 x #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x)) |
(* x (+ 1/12 (/ 1 (pow x 2)))) |
(fma.f64 x #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(* -1/720 (pow x 3)) |
(*.f64 #s(literal -1/720 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))) |
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720)) |
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #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 x (fma.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) |
(* -1/720 (pow x 3)) |
(*.f64 #s(literal -1/720 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))) |
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720)) |
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) |
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720)) |
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) |
(* -1/720 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/720 binary64))) |
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) |
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) |
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(fma.f64 x (*.f64 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))) |
(/ -1 (- (exp (* -1 x)) 1)) |
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
(/ -1 (- (exp (* -1 x)) 1)) |
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 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)) |
(- (exp (* -1 x)) 1) |
(expm1.f64 (neg.f64 x)) |
(- (exp (* -1 x)) 1) |
(expm1.f64 (neg.f64 x)) |
(- (exp (* -1 x)) 1) |
(expm1.f64 (neg.f64 x)) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.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 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(+ 1/2 (/ 1 x)) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(+ 1/2 (/ 1 x)) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* x (+ 1/12 (* 1/2 (/ 1 x)))) |
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) |
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12))) |
(fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) |
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12))) |
(fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* x (+ 1/12 (/ 1 (pow x 2)))) |
(fma.f64 x #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x)) |
(* x (+ 1/12 (/ 1 (pow x 2)))) |
(fma.f64 x #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x)) |
(* x (+ 1/12 (/ 1 (pow x 2)))) |
(fma.f64 x #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(* -1/720 (pow x 3)) |
(*.f64 #s(literal -1/720 binary64) (*.f64 x (*.f64 x x))) |
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2)))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))) |
(* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2)))))) |
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #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 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)))) |
(* -1/720 (pow x 3)) |
(*.f64 #s(literal -1/720 binary64) (*.f64 x (*.f64 x x))) |
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2)))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))) |
(* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2)))))) |
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) |
(* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2)))))) |
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) |
(* -1/720 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/720 binary64))) |
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) |
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) |
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) |
| 4 688× | lower-*.f32 |
| 4 686× | lower-*.f64 |
| 4 380× | lower-/.f32 |
| 4 376× | lower-/.f64 |
| 4 316× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 121 |
| 0 | 39 | 121 |
| 1 | 179 | 121 |
| 2 | 1501 | 121 |
| 0 | 8775 | 113 |
| 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 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x))) |
(fma.f64 x #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)))) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (neg.f64 (expm1.f64 (neg.f64 x)))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (expm1.f64 (neg.f64 x)) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 x)))) |
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (expm1.f64 (neg.f64 x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (expm1.f64 (neg.f64 x)) #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (expm1.f64 (neg.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 (neg.f64 x)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 (neg.f64 x)) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (expm1.f64 (neg.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (neg.f64 (expm1.f64 (neg.f64 x)))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (expm1.f64 (neg.f64 x)) #s(literal -1 binary64))))) |
(pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (expm1.f64 (neg.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (expm1.f64 (neg.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 x)))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.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 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (-.f64 (neg.f64 x) x))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))) |
(+.f64 #s(literal -1 binary64) (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)) |
(-.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))))) |
(-.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))) |
(-.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)))))) |
(-.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)))) |
(expm1.f64 (neg.f64 x)) |
(expm1.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) x)) |
(fma.f64 #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)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))) (expm1.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) (expm1.f64 (-.f64 (neg.f64 x) x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))) (expm1.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) (expm1.f64 (-.f64 (neg.f64 x) x)))) |
(/.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))) |
(/.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))))) |
(/.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))) |
(/.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (-.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 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (expm1.f64 (-.f64 (neg.f64 x) x))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))) |
(/.f64 (neg.f64 (expm1.f64 (-.f64 (neg.f64 x) x))) (neg.f64 (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))) (*.f64 (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))) #s(literal 1 binary64))) (*.f64 (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))))) |
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (-.f64 (neg.f64 x) x)))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))))) |
(/.f64 (+.f64 #s(literal -1 binary64) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 x)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))) (/.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))) (*.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))) (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))) (*.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))))))) |
(pow.f64 (/.f64 (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))) (expm1.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) (expm1.f64 (-.f64 (neg.f64 x) x))) #s(literal -1 binary64)) |
(*.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))))) |
(*.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))) (/.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64))) |
(log.f64 (exp.f64 (neg.f64 x))) |
(+.f64 (neg.f64 x) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (neg.f64 x)) |
(-.f64 #s(literal 0 binary64) x) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (exp.f64 x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) |
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 x x) x)) |
(fma.f64 #s(literal -1 binary64) x #s(literal 0 binary64)) |
(fma.f64 x #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 x (log.f64 (exp.f64 #s(literal -1 binary64))) #s(literal 0 binary64)) |
(neg.f64 x) |
(neg.f64 (log.f64 (/.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) x) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (neg.f64 x)) |
(/.f64 (+.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) (neg.f64 x))))) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 x #s(literal -1 binary64)) |
(*.f64 x (log.f64 (exp.f64 #s(literal -1 binary64)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) |
(exp.f64 (neg.f64 (log.f64 x))) |
(neg.f64 (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x))) |
(pow.f64 x #s(literal -1 binary64)) |
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 x)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))) |
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) |
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(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))))))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/373248000 binary64))) (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))))) (fma.f64 (*.f64 x (*.f64 #s(literal -1/720 binary64) (*.f64 x x))) (*.f64 x (*.f64 #s(literal -1/720 binary64) (*.f64 x x))) (-.f64 (*.f64 (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 x (*.f64 #s(literal -1/720 binary64) (*.f64 x x))) (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/720 binary64) (*.f64 x x)))) #s(literal 3 binary64)) (*.f64 #s(literal 1/1728 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/720 binary64) (*.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/720 binary64) (*.f64 x x)))) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/144 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/720 binary64) (*.f64 x x)))) (*.f64 x #s(literal 1/12 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))))) (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))))) (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal -1/2 binary64))) (/.f64 (*.f64 x (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))))) (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal -1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal -1/2 binary64))) (*.f64 (/.f64 (*.f64 x (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))))) (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal -1/2 binary64))))))) |
(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 (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))) #s(literal 1/4 binary64)) (*.f64 x (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)))) (fma.f64 (*.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))) (*.f64 x (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))))) #s(literal 1/8 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (fma.f64 x (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)))) #s(literal -1/4 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))) (*.f64 x (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))))) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (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))) #s(literal 1/4 binary64)) (*.f64 x (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)))))) |
(*.f64 (fma.f64 x (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal -1/2 binary64)))) |
(+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x))) |
(+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 x x)) #s(literal 1/12 binary64)) |
(-.f64 (/.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (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 #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) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x))))) |
(fma.f64 x (*.f64 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 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) |
(fma.f64 (*.f64 x #s(literal -1/720 binary64)) x #s(literal 1/12 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/144 binary64)) (*.f64 (*.f64 x x) #s(literal -1/8640 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/373248000 binary64)) #s(literal 1/1728 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64)) (fma.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/144 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/144 binary64)) (*.f64 (*.f64 x x) #s(literal -1/8640 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/373248000 binary64)) #s(literal 1/1728 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64)) (fma.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/144 binary64)))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/373248000 binary64)) #s(literal 1/1728 binary64)) (-.f64 (fma.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/144 binary64)) (*.f64 (*.f64 x x) #s(literal -1/8640 binary64)))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/373248000 binary64)) #s(literal 1/1728 binary64)) (+.f64 #s(literal 1/144 binary64) (-.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal -1/8640 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/144 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/373248000 binary64)) #s(literal 1/1728 binary64))) (neg.f64 (-.f64 (fma.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/144 binary64)) (*.f64 (*.f64 x x) #s(literal -1/8640 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/373248000 binary64)) #s(literal 1/1728 binary64))) (neg.f64 (+.f64 #s(literal 1/144 binary64) (-.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal -1/8640 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/144 binary64))) (neg.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64)))) |
(/.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (-.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64))) (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64)) #s(literal 1/144 binary64))) (*.f64 (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)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/373248000 binary64)) #s(literal 1/1728 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/144 binary64)) (*.f64 (*.f64 x x) #s(literal -1/8640 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/144 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (neg.f64 (-.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/144 binary64) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64))) (/.f64 (*.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64))) (fma.f64 (/.f64 #s(literal 1/144 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) (*.f64 (*.f64 x x) (*.f64 x x))) (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))))))) |
(pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/144 binary64)) (*.f64 (*.f64 x x) #s(literal -1/8640 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/373248000 binary64)) #s(literal 1/1728 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64)) (fma.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/144 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/373248000 binary64)) #s(literal 1/1728 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/144 binary64)) (*.f64 (*.f64 x x) #s(literal -1/8640 binary64))))) |
(*.f64 (fma.f64 #s(literal 1/518400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/12 binary64)))) |
Compiled 23 388 to 1 639 computations (93% saved)
18 alts after pruning (13 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 705 | 13 | 718 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 707 | 18 | 725 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 37.0% | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| ✓ | 100.0% | (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
| ▶ | 89.3% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
| ▶ | 87.8% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
| ▶ | 81.0% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))) |
| 67.6% | (*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (-.f64 (neg.f64 x) x))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))) | |
| 19.3% | #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x)))) (*.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))))) | |
| 67.5% | #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) | |
| 67.4% | #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)) | |
| ✓ | 67.5% | #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) |
| ✓ | 67.5% | #s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)))) |
| ✓ | 67.2% | #s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) |
| 67.5% | #s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/12 binary64))))) | |
| 67.4% | #s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) #s(approx (+ (* x 1/12) (/ 1 x)) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) x)))) | |
| ▶ | 3.0% | #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) (+ (* x (+ (* -1/720 (* x x)) 1/12)) 1/2)) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))))) |
| ▶ | 3.2% | #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))) |
| 3.0% | #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (+ (* x 1/12) (/ 1 x))) (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))) | |
| 3.2% | #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (+ (* x 1/12) (/ 1 x))) (*.f64 x #s(literal 1/12 binary64)))) |
Compiled 359 to 224 computations (37.6% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) | |
| cost-diff | 0 | (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) | |
| cost-diff | 0 | #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) | |
| cost-diff | 0 | (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) | |
| cost-diff | 0 | (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) | |
| cost-diff | 0 | #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))) | |
| cost-diff | 0 | (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) | |
| cost-diff | 0 | (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))) | |
| cost-diff | 0 | #s(approx (+ (/ 1 x) (+ (* x (+ (* -1/720 (* x x)) 1/12)) 1/2)) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)))) | |
| cost-diff | 0 | #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) (+ (* x (+ (* -1/720 (* x x)) 1/12)) 1/2)) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))))) | |
| cost-diff | 0 | #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) | |
| cost-diff | 0 | (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) | |
| cost-diff | 0 | #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
| 7 324× | lower-fma.f32 |
| 7 310× | lower-fma.f64 |
| 1 808× | lower-*.f32 |
| 1 798× | lower-*.f64 |
| 1 168× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 270 |
| 0 | 66 | 268 |
| 1 | 141 | 268 |
| 2 | 264 | 268 |
| 3 | 415 | 268 |
| 4 | 663 | 268 |
| 5 | 1031 | 268 |
| 6 | 1969 | 268 |
| 7 | 3171 | 268 |
| 8 | 3986 | 268 |
| 9 | 4271 | 268 |
| 10 | 4471 | 268 |
| 11 | 4537 | 268 |
| 12 | 4708 | 268 |
| 13 | 4757 | 268 |
| 14 | 4938 | 268 |
| 15 | 5238 | 268 |
| 16 | 5314 | 268 |
| 17 | 5365 | 268 |
| 18 | 5400 | 268 |
| 19 | 5409 | 268 |
| 20 | 5423 | 268 |
| 21 | 5435 | 268 |
| 22 | 5435 | 268 |
| 23 | 5466 | 268 |
| 24 | 5478 | 268 |
| 25 | 5479 | 268 |
| 0 | 5479 | 250 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
#s(literal -1 binary64) |
#s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) |
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
x |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) |
#s(literal 1/24 binary64) |
#s(literal -1/6 binary64) |
#s(literal 1/2 binary64) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))) |
#s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) (+ (* x (+ (* -1/720 (* x x)) 1/12)) 1/2)) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))))) |
#s(approx (+ (/ 1 x) (+ (* x (+ (* -1/720 (* x x)) 1/12)) 1/2)) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))) |
x |
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) |
(*.f64 x #s(literal -1/720 binary64)) |
#s(literal -1/720 binary64) |
#s(literal 1/12 binary64) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))) |
#s(literal -1 binary64) |
#s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))) |
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) |
x |
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) |
#s(literal 1/2 binary64) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
#s(literal -1 binary64) |
#s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) |
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
x |
(fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) |
#s(literal -1/6 binary64) |
#s(literal 1/2 binary64) |
| Outputs |
|---|
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
#s(literal -1 binary64) |
#s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) |
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
x |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) |
#s(literal 1/24 binary64) |
#s(literal -1/6 binary64) |
#s(literal 1/2 binary64) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))) |
#s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) (+ (* x (+ (* -1/720 (* x x)) 1/12)) 1/2)) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))))) |
#s(approx (+ (/ 1 x) (+ (* x (+ (* -1/720 (* x x)) 1/12)) 1/2)) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))) |
x |
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) |
(*.f64 x #s(literal -1/720 binary64)) |
#s(literal -1/720 binary64) |
#s(literal 1/12 binary64) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))) |
#s(literal -1 binary64) |
#s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))) |
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) |
x |
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) |
#s(literal 1/2 binary64) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
#s(literal -1 binary64) |
#s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) |
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
x |
(fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) |
#s(literal -1/6 binary64) |
#s(literal 1/2 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0390625 | (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) | |
| accuracy | 0.046875 | (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) | |
| accuracy | 0.1015625 | (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) | |
| accuracy | 7.62046551379763 | #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) | |
| accuracy | 0 | (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) | |
| accuracy | 0 | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))) | |
| accuracy | 0.01171875 | (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) | |
| accuracy | 12.001296350322965 | #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))) | |
| accuracy | 0.2109375 | (*.f64 x #s(literal -1/720 binary64)) | |
| accuracy | 0.23828125 | (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))) | |
| accuracy | 20.69246952792429 | #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) (+ (* x (+ (* -1/720 (* x x)) 1/12)) 1/2)) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))))) | |
| accuracy | 41.596490801071205 | #s(approx (+ (/ 1 x) (+ (* x (+ (* -1/720 (* x x)) 1/12)) 1/2)) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)))) | |
| accuracy | 20.805830407604866 | #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))) | |
| accuracy | 41.99926005856179 | #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)) | |
| accuracy | 0.046875 | (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) | |
| accuracy | 0.0625 | (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) | |
| accuracy | 0.10546875 | (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) | |
| accuracy | 6.728094313447276 | #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) |
| 105.0ms | 255× | 0 | valid |
| 1.0ms | 1× | 5 | exit |
Compiled 186 to 43 computations (76.9% saved)
ival-mult: 55.0ms (60.8% of total)ival-add: 12.0ms (13.3% of total)const: 11.0ms (12.2% of total)ival-div: 5.0ms (5.5% of total)ival-expm1: 3.0ms (3.3% of total)ival-exp: 2.0ms (2.2% of total)ival-neg: 1.0ms (1.1% 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 |
|---|
#<alt (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))> |
#<alt #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))> |
#<alt (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))> |
#<alt (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))> |
#<alt #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)))> |
#<alt #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))> |
#<alt #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) (+ (* x (+ (* -1/720 (* x x)) 1/12)) 1/2)) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)))))> |
#<alt #s(approx (+ (/ 1 x) (+ (* x (+ (* -1/720 (* x x)) 1/12)) 1/2)) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))))> |
#<alt (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)))> |
#<alt (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))> |
#<alt (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))> |
#<alt #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))> |
#<alt (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))> |
#<alt (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))> |
#<alt (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))> |
#<alt #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))> |
#<alt (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))> |
#<alt (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))> |
#<alt (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))> |
#<alt (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))> |
#<alt (*.f64 x #s(literal -1/720 binary64))> |
#<alt (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))> |
| Outputs |
|---|
#<alt (/ 1 x)> |
#<alt (/ (+ 1 (* 1/2 x)) x)> |
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)> |
#<alt (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)> |
#<alt (* -1 x)> |
#<alt (* x (- (* 1/2 x) 1))> |
#<alt (* x (- (* x (+ 1/2 (* -1/6 x))) 1))> |
#<alt (* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))> |
#<alt (* -1 x)> |
#<alt (* x (- (* 1/2 x) 1))> |
#<alt (* x (- (* x (+ 1/2 (* -1/6 x))) 1))> |
#<alt (* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))> |
#<alt -1> |
#<alt (- (* 1/2 x) 1)> |
#<alt (- (* x (+ 1/2 (* -1/6 x))) 1)> |
#<alt (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1)> |
#<alt (/ 1 x)> |
#<alt (/ (+ 1 (* 1/2 x)) x)> |
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)> |
#<alt (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)> |
#<alt (/ 1 x)> |
#<alt (/ (+ 1 (* 1/2 x)) x)> |
#<alt (/ (+ 1 (* 1/2 x)) x)> |
#<alt (/ (+ 1 (* 1/2 x)) x)> |
#<alt (/ 1 x)> |
#<alt (/ (+ 1 (* 1/2 x)) x)> |
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)> |
#<alt (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)> |
#<alt (/ 1 x)> |
#<alt (/ (+ 1 (* 1/2 x)) x)> |
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)> |
#<alt (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)> |
#<alt (* 1/12 x)> |
#<alt (* x (+ 1/12 (* -1/720 (pow x 2))))> |
#<alt (* x (+ 1/12 (* -1/720 (pow x 2))))> |
#<alt (* x (+ 1/12 (* -1/720 (pow x 2))))> |
#<alt 1/12> |
#<alt (+ 1/12 (* -1/720 (pow x 2)))> |
#<alt (+ 1/12 (* -1/720 (pow x 2)))> |
#<alt (+ 1/12 (* -1/720 (pow x 2)))> |
#<alt (/ 1 x)> |
#<alt (/ (+ 1 (* 1/2 x)) x)> |
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)> |
#<alt (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)> |
#<alt (* -1 x)> |
#<alt (* x (- (* 1/2 x) 1))> |
#<alt (* x (- (* x (+ 1/2 (* -1/6 x))) 1))> |
#<alt (* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))> |
#<alt (* -1 x)> |
#<alt (* x (- (* 1/2 x) 1))> |
#<alt (* x (- (* 1/2 x) 1))> |
#<alt (* x (- (* 1/2 x) 1))> |
#<alt -1> |
#<alt (- (* 1/2 x) 1)> |
#<alt (- (* 1/2 x) 1)> |
#<alt (- (* 1/2 x) 1)> |
#<alt (/ 1 x)> |
#<alt (/ (+ 1 (* 1/2 x)) x)> |
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)> |
#<alt (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)> |
#<alt (* -1 x)> |
#<alt (* x (- (* 1/2 x) 1))> |
#<alt (* x (- (* x (+ 1/2 (* -1/6 x))) 1))> |
#<alt (* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))> |
#<alt (* -1 x)> |
#<alt (* x (- (* 1/2 x) 1))> |
#<alt (* x (- (* x (+ 1/2 (* -1/6 x))) 1))> |
#<alt (* x (- (* x (+ 1/2 (* -1/6 x))) 1))> |
#<alt -1> |
#<alt (- (* 1/2 x) 1)> |
#<alt (- (* x (+ 1/2 (* -1/6 x))) 1)> |
#<alt (- (* x (+ 1/2 (* -1/6 x))) 1)> |
#<alt -1/6> |
#<alt (- (* 1/24 x) 1/6)> |
#<alt (- (* 1/24 x) 1/6)> |
#<alt (- (* 1/24 x) 1/6)> |
#<alt 1/2> |
#<alt (+ 1/2 (* -1/6 x))> |
#<alt (+ 1/2 (* x (- (* 1/24 x) 1/6)))> |
#<alt (+ 1/2 (* x (- (* 1/24 x) 1/6)))> |
#<alt (* -1/720 x)> |
#<alt (* -1/720 x)> |
#<alt (* -1/720 x)> |
#<alt (* -1/720 x)> |
#<alt 1/2> |
#<alt (+ 1/2 (* -1/6 x))> |
#<alt (+ 1/2 (* -1/6 x))> |
#<alt (+ 1/2 (* -1/6 x))> |
#<alt (/ -1 (- (exp (neg x)) 1))> |
#<alt (/ -1 (- (exp (neg x)) 1))> |
#<alt (/ -1 (- (exp (neg x)) 1))> |
#<alt (/ -1 (- (exp (neg x)) 1))> |
#<alt (- (exp (neg x)) 1)> |
#<alt (- (exp (neg x)) 1)> |
#<alt (- (exp (neg x)) 1)> |
#<alt (- (exp (neg x)) 1)> |
#<alt (* 1/24 (pow x 4))> |
#<alt (* (pow x 4) (- 1/24 (* 1/6 (/ 1 x))))> |
#<alt (* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))> |
#<alt (* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))> |
#<alt (* 1/24 (pow x 3))> |
#<alt (* (pow x 3) (- 1/24 (* 1/6 (/ 1 x))))> |
#<alt (* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))> |
#<alt (* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))> |
#<alt (/ (exp x) (- (exp x) 1))> |
#<alt (/ (exp x) (- (exp x) 1))> |
#<alt (/ (exp x) (- (exp x) 1))> |
#<alt (/ (exp x) (- (exp x) 1))> |
#<alt 1/2> |
#<alt (+ 1/2 (/ 1 x))> |
#<alt (+ 1/2 (/ 1 x))> |
#<alt (+ 1/2 (/ 1 x))> |
#<alt (/ (exp x) (- (exp x) 1))> |
#<alt (/ (exp x) (- (exp x) 1))> |
#<alt (/ (exp x) (- (exp x) 1))> |
#<alt (/ (exp x) (- (exp x) 1))> |
#<alt (* -1/720 (pow x 3))> |
#<alt (* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))> |
#<alt (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))> |
#<alt (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))> |
#<alt (* -1/720 (pow x 3))> |
#<alt (* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))> |
#<alt (* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))> |
#<alt (* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))> |
#<alt (* -1/720 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))> |
#<alt (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))> |
#<alt (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))> |
#<alt (/ -1 (- (exp (neg x)) 1))> |
#<alt (/ -1 (- (exp (neg x)) 1))> |
#<alt (/ -1 (- (exp (neg x)) 1))> |
#<alt (/ -1 (- (exp (neg x)) 1))> |
#<alt (- (exp (neg x)) 1)> |
#<alt (- (exp (neg x)) 1)> |
#<alt (- (exp (neg x)) 1)> |
#<alt (- (exp (neg x)) 1)> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))> |
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))> |
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))> |
#<alt (* 1/2 x)> |
#<alt (* x (- 1/2 (/ 1 x)))> |
#<alt (* x (- 1/2 (/ 1 x)))> |
#<alt (* x (- 1/2 (/ 1 x)))> |
#<alt (/ -1 (- (exp (neg x)) 1))> |
#<alt (/ -1 (- (exp (neg x)) 1))> |
#<alt (/ -1 (- (exp (neg x)) 1))> |
#<alt (/ -1 (- (exp (neg x)) 1))> |
#<alt (- (exp (neg x)) 1)> |
#<alt (- (exp (neg x)) 1)> |
#<alt (- (exp (neg x)) 1)> |
#<alt (- (exp (neg x)) 1)> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/6))> |
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))> |
#<alt (* 1/24 x)> |
#<alt (* x (- 1/24 (* 1/6 (/ 1 x))))> |
#<alt (* x (- 1/24 (* 1/6 (/ 1 x))))> |
#<alt (* x (- 1/24 (* 1/6 (/ 1 x))))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))> |
#<alt (* (pow x 2) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))> |
#<alt (* (pow x 2) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))> |
#<alt (* -1/720 x)> |
#<alt (* -1/720 x)> |
#<alt (* -1/720 x)> |
#<alt (* -1/720 x)> |
#<alt (* -1/6 x)> |
#<alt (* x (- (* 1/2 (/ 1 x)) 1/6))> |
#<alt (* x (- (* 1/2 (/ 1 x)) 1/6))> |
#<alt (* x (- (* 1/2 (/ 1 x)) 1/6))> |
#<alt (/ -1 (- (exp (* -1 x)) 1))> |
#<alt (/ -1 (- (exp (* -1 x)) 1))> |
#<alt (/ -1 (- (exp (* -1 x)) 1))> |
#<alt (/ -1 (- (exp (* -1 x)) 1))> |
#<alt (- (exp (* -1 x)) 1)> |
#<alt (- (exp (* -1 x)) 1)> |
#<alt (- (exp (* -1 x)) 1)> |
#<alt (- (exp (* -1 x)) 1)> |
#<alt (* 1/24 (pow x 4))> |
#<alt (* (pow x 4) (- 1/24 (* 1/6 (/ 1 x))))> |
#<alt (* (pow x 4) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))> |
#<alt (* (pow x 4) (+ 1/24 (* -1 (/ (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x))) x))))> |
#<alt (* 1/24 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/6) x)) 1/24)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6) x)) 1/24)))> |
#<alt (/ (exp x) (- (exp x) 1))> |
#<alt (/ (exp x) (- (exp x) 1))> |
#<alt (/ (exp x) (- (exp x) 1))> |
#<alt (/ (exp x) (- (exp x) 1))> |
#<alt 1/2> |
#<alt (+ 1/2 (/ 1 x))> |
#<alt (+ 1/2 (/ 1 x))> |
#<alt (+ 1/2 (/ 1 x))> |
#<alt (/ (exp x) (- (exp x) 1))> |
#<alt (/ (exp x) (- (exp x) 1))> |
#<alt (/ (exp x) (- (exp x) 1))> |
#<alt (/ (exp x) (- (exp x) 1))> |
#<alt (* -1/720 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2))))))> |
#<alt (* -1/720 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))> |
#<alt (* -1/720 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))> |
#<alt (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))> |
#<alt (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))> |
#<alt (/ -1 (- (exp (* -1 x)) 1))> |
#<alt (/ -1 (- (exp (* -1 x)) 1))> |
#<alt (/ -1 (- (exp (* -1 x)) 1))> |
#<alt (/ -1 (- (exp (* -1 x)) 1))> |
#<alt (- (exp (* -1 x)) 1)> |
#<alt (- (exp (* -1 x)) 1)> |
#<alt (- (exp (* -1 x)) 1)> |
#<alt (- (exp (* -1 x)) 1)> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))> |
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))> |
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))> |
#<alt (* 1/2 x)> |
#<alt (* -1 (* x (- (/ 1 x) 1/2)))> |
#<alt (* -1 (* x (- (/ 1 x) 1/2)))> |
#<alt (* -1 (* x (- (/ 1 x) 1/2)))> |
#<alt (/ -1 (- (exp (* -1 x)) 1))> |
#<alt (/ -1 (- (exp (* -1 x)) 1))> |
#<alt (/ -1 (- (exp (* -1 x)) 1))> |
#<alt (/ -1 (- (exp (* -1 x)) 1))> |
#<alt (- (exp (* -1 x)) 1)> |
#<alt (- (exp (* -1 x)) 1)> |
#<alt (- (exp (* -1 x)) 1)> |
#<alt (- (exp (* -1 x)) 1)> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 1/6 (* 1/2 (/ 1 x)))))> |
#<alt (* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x)))))> |
#<alt (* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x)))))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))> |
#<alt (* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6))> |
#<alt (* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6))> |
#<alt (* 1/24 x)> |
#<alt (* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))> |
#<alt (* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))> |
#<alt (* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))> |
#<alt (* (pow x 2) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))> |
#<alt (* -1/720 x)> |
#<alt (* -1/720 x)> |
#<alt (* -1/720 x)> |
#<alt (* -1/720 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1 (* x (- 1/6 (* 1/2 (/ 1 x)))))> |
#<alt (* -1 (* x (- 1/6 (* 1/2 (/ 1 x)))))> |
#<alt (* -1 (* x (- 1/6 (* 1/2 (/ 1 x)))))> |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | inf | ((/ -1 (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (* x (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1)) (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (/ (exp x) (- (exp x) 1)) (+ (/ 1 x) 1/2) (/ (exp x) (- (exp x) 1)) (+ (/ 1 x) (+ (* x (+ (* -1/720 (* x x)) 1/12)) 1/2)) (* x (+ (* x (* x -1/720)) 1/12)) (+ (* x (* x -1/720)) 1/12) (/ -1 (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (* x (+ (* x 1/2) -1)) (+ (* x 1/2) -1) (/ -1 (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) (+ (* x (+ (* x -1/6) 1/2)) -1) (+ (* x 1/24) -1/6) (+ (* x (+ (* x 1/24) -1/6)) 1/2) (* x -1/720) (+ (* x -1/6) 1/2)) |
| 3.0ms | x | @ | -inf | ((/ -1 (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (* x (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1)) (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (/ (exp x) (- (exp x) 1)) (+ (/ 1 x) 1/2) (/ (exp x) (- (exp x) 1)) (+ (/ 1 x) (+ (* x (+ (* -1/720 (* x x)) 1/12)) 1/2)) (* x (+ (* x (* x -1/720)) 1/12)) (+ (* x (* x -1/720)) 1/12) (/ -1 (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (* x (+ (* x 1/2) -1)) (+ (* x 1/2) -1) (/ -1 (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) (+ (* x (+ (* x -1/6) 1/2)) -1) (+ (* x 1/24) -1/6) (+ (* x (+ (* x 1/24) -1/6)) 1/2) (* x -1/720) (+ (* x -1/6) 1/2)) |
| 2.0ms | x | @ | 0 | ((/ -1 (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (* x (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1)) (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (/ (exp x) (- (exp x) 1)) (+ (/ 1 x) 1/2) (/ (exp x) (- (exp x) 1)) (+ (/ 1 x) (+ (* x (+ (* -1/720 (* x x)) 1/12)) 1/2)) (* x (+ (* x (* x -1/720)) 1/12)) (+ (* x (* x -1/720)) 1/12) (/ -1 (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (* x (+ (* x 1/2) -1)) (+ (* x 1/2) -1) (/ -1 (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) (+ (* x (+ (* x -1/6) 1/2)) -1) (+ (* x 1/24) -1/6) (+ (* x (+ (* x 1/24) -1/6)) 1/2) (* x -1/720) (+ (* x -1/6) 1/2)) |
| 1× | egg-herbie |
| 16 338× | lower-fma.f64 |
| 16 338× | lower-fma.f32 |
| 3 950× | lower-*.f64 |
| 3 950× | lower-*.f32 |
| 3 132× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 165 | 1858 |
| 1 | 452 | 1844 |
| 2 | 1442 | 1832 |
| 3 | 4783 | 1822 |
| 0 | 8280 | 1508 |
| 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 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 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) |
(/ (+ 1 (* 1/2 x)) x) |
(/ (+ 1 (* 1/2 x)) x) |
(/ (+ 1 (* 1/2 x)) 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 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) |
(* 1/12 x) |
(* x (+ 1/12 (* -1/720 (pow x 2)))) |
(* x (+ 1/12 (* -1/720 (pow x 2)))) |
(* x (+ 1/12 (* -1/720 (pow x 2)))) |
1/12 |
(+ 1/12 (* -1/720 (pow x 2))) |
(+ 1/12 (* -1/720 (pow x 2))) |
(+ 1/12 (* -1/720 (pow x 2))) |
(/ 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 x) |
(* x (- (* 1/2 x) 1)) |
(* x (- (* 1/2 x) 1)) |
(* x (- (* 1/2 x) 1)) |
-1 |
(- (* 1/2 x) 1) |
(- (* 1/2 x) 1) |
(- (* 1/2 x) 1) |
(/ 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 x) |
(* x (- (* 1/2 x) 1)) |
(* x (- (* x (+ 1/2 (* -1/6 x))) 1)) |
(* x (- (* x (+ 1/2 (* -1/6 x))) 1)) |
-1 |
(- (* 1/2 x) 1) |
(- (* x (+ 1/2 (* -1/6 x))) 1) |
(- (* x (+ 1/2 (* -1/6 x))) 1) |
-1/6 |
(- (* 1/24 x) 1/6) |
(- (* 1/24 x) 1/6) |
(- (* 1/24 x) 1/6) |
1/2 |
(+ 1/2 (* -1/6 x)) |
(+ 1/2 (* x (- (* 1/24 x) 1/6))) |
(+ 1/2 (* x (- (* 1/24 x) 1/6))) |
(* -1/720 x) |
(* -1/720 x) |
(* -1/720 x) |
(* -1/720 x) |
1/2 |
(+ 1/2 (* -1/6 x)) |
(+ 1/2 (* -1/6 x)) |
(+ 1/2 (* -1/6 x)) |
(/ -1 (- (exp (neg x)) 1)) |
(/ -1 (- (exp (neg x)) 1)) |
(/ -1 (- (exp (neg x)) 1)) |
(/ -1 (- (exp (neg x)) 1)) |
(- (exp (neg x)) 1) |
(- (exp (neg 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))))) |
(* 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)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
1/2 |
(+ 1/2 (/ 1 x)) |
(+ 1/2 (/ 1 x)) |
(+ 1/2 (/ 1 x)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(* -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 3)) |
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(* -1/720 (pow x 2)) |
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(/ -1 (- (exp (neg x)) 1)) |
(/ -1 (- (exp (neg x)) 1)) |
(/ -1 (- (exp (neg x)) 1)) |
(/ -1 (- (exp (neg x)) 1)) |
(- (exp (neg x)) 1) |
(- (exp (neg x)) 1) |
(- (exp (neg x)) 1) |
(- (exp (neg x)) 1) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (- 1/2 (/ 1 x))) |
(* (pow x 2) (- 1/2 (/ 1 x))) |
(* (pow x 2) (- 1/2 (/ 1 x))) |
(* 1/2 x) |
(* x (- 1/2 (/ 1 x))) |
(* x (- 1/2 (/ 1 x))) |
(* x (- 1/2 (/ 1 x))) |
(/ -1 (- (exp (neg x)) 1)) |
(/ -1 (- (exp (neg x)) 1)) |
(/ -1 (- (exp (neg x)) 1)) |
(/ -1 (- (exp (neg x)) 1)) |
(- (exp (neg x)) 1) |
(- (exp (neg x)) 1) |
(- (exp (neg x)) 1) |
(- (exp (neg x)) 1) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/6)) |
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2))))) |
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2))))) |
(* -1/6 (pow x 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2))))) |
(* 1/24 x) |
(* x (- 1/24 (* 1/6 (/ 1 x)))) |
(* x (- 1/24 (* 1/6 (/ 1 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)))) |
(* (pow x 2) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x)))) |
(* -1/720 x) |
(* -1/720 x) |
(* -1/720 x) |
(* -1/720 x) |
(* -1/6 x) |
(* x (- (* 1/2 (/ 1 x)) 1/6)) |
(* x (- (* 1/2 (/ 1 x)) 1/6)) |
(* x (- (* 1/2 (/ 1 x)) 1/6)) |
(/ -1 (- (exp (* -1 x)) 1)) |
(/ -1 (- (exp (* -1 x)) 1)) |
(/ -1 (- (exp (* -1 x)) 1)) |
(/ -1 (- (exp (* -1 x)) 1)) |
(- (exp (* -1 x)) 1) |
(- (exp (* -1 x)) 1) |
(- (exp (* -1 x)) 1) |
(- (exp (* -1 x)) 1) |
(* 1/24 (pow x 4)) |
(* (pow x 4) (- 1/24 (* 1/6 (/ 1 x)))) |
(* (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)))) |
(* 1/24 (pow x 3)) |
(* -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))) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
1/2 |
(+ 1/2 (/ 1 x)) |
(+ 1/2 (/ 1 x)) |
(+ 1/2 (/ 1 x)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(* -1/720 (pow x 3)) |
(* -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)))))) |
(* -1/720 (pow x 3)) |
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2)))))) |
(* -1/720 (pow x 2)) |
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(/ -1 (- (exp (* -1 x)) 1)) |
(/ -1 (- (exp (* -1 x)) 1)) |
(/ -1 (- (exp (* -1 x)) 1)) |
(/ -1 (- (exp (* -1 x)) 1)) |
(- (exp (* -1 x)) 1) |
(- (exp (* -1 x)) 1) |
(- (exp (* -1 x)) 1) |
(- (exp (* -1 x)) 1) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (- 1/2 (/ 1 x))) |
(* (pow x 2) (- 1/2 (/ 1 x))) |
(* (pow x 2) (- 1/2 (/ 1 x))) |
(* 1/2 x) |
(* -1 (* x (- (/ 1 x) 1/2))) |
(* -1 (* x (- (/ 1 x) 1/2))) |
(* -1 (* x (- (/ 1 x) 1/2))) |
(/ -1 (- (exp (* -1 x)) 1)) |
(/ -1 (- (exp (* -1 x)) 1)) |
(/ -1 (- (exp (* -1 x)) 1)) |
(/ -1 (- (exp (* -1 x)) 1)) |
(- (exp (* -1 x)) 1) |
(- (exp (* -1 x)) 1) |
(- (exp (* -1 x)) 1) |
(- (exp (* -1 x)) 1) |
(* -1/6 (pow x 3)) |
(* -1 (* (pow x 3) (- 1/6 (* 1/2 (/ 1 x))))) |
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x))))) |
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x))))) |
(* -1/6 (pow x 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6)) |
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6)) |
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6)) |
(* 1/24 x) |
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24))) |
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24))) |
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24))) |
(* 1/24 (pow x 2)) |
(* (pow x 2) (- 1/24 (* 1/6 (/ 1 x)))) |
(* (pow x 2) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x)))) |
(* (pow x 2) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x)))) |
(* -1/720 x) |
(* -1/720 x) |
(* -1/720 x) |
(* -1/720 x) |
(* -1/6 x) |
(* -1 (* x (- 1/6 (* 1/2 (/ 1 x))))) |
(* -1 (* x (- 1/6 (* 1/2 (/ 1 x))))) |
(* -1 (* x (- 1/6 (* 1/2 (/ 1 x))))) |
| Outputs |
|---|
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* 1/2 x)) x) |
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) |
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* 1/2 x) 1)) |
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) |
(* x (- (* x (+ 1/2 (* -1/6 x))) 1)) |
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1)) |
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* 1/2 x) 1)) |
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) |
(* x (- (* x (+ 1/2 (* -1/6 x))) 1)) |
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1)) |
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
-1 |
#s(literal -1 binary64) |
(- (* 1/2 x) 1) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) |
(- (* x (+ 1/2 (* -1/6 x))) 1) |
(fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* 1/2 x)) x) |
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) |
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* 1/2 x)) x) |
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x) |
(/ (+ 1 (* 1/2 x)) x) |
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x) |
(/ (+ 1 (* 1/2 x)) x) |
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* 1/2 x)) x) |
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) |
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* 1/2 x)) x) |
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) |
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* x (+ 1/12 (* -1/720 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))) |
(* x (+ 1/12 (* -1/720 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))) |
(* x (+ 1/12 (* -1/720 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))) |
1/12 |
#s(literal 1/12 binary64) |
(+ 1/12 (* -1/720 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) |
(+ 1/12 (* -1/720 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) |
(+ 1/12 (* -1/720 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* 1/2 x)) x) |
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) |
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* 1/2 x) 1)) |
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) |
(* x (- (* x (+ 1/2 (* -1/6 x))) 1)) |
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1)) |
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* 1/2 x) 1)) |
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) |
(* x (- (* 1/2 x) 1)) |
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) |
(* x (- (* 1/2 x) 1)) |
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) |
-1 |
#s(literal -1 binary64) |
(- (* 1/2 x) 1) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) |
(- (* 1/2 x) 1) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) |
(- (* 1/2 x) 1) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* 1/2 x)) x) |
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) |
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* 1/2 x) 1)) |
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) |
(* x (- (* x (+ 1/2 (* -1/6 x))) 1)) |
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1)) |
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* 1/2 x) 1)) |
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) |
(* x (- (* x (+ 1/2 (* -1/6 x))) 1)) |
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(* x (- (* x (+ 1/2 (* -1/6 x))) 1)) |
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
-1 |
#s(literal -1 binary64) |
(- (* 1/2 x) 1) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) |
(- (* x (+ 1/2 (* -1/6 x))) 1) |
(fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(- (* x (+ 1/2 (* -1/6 x))) 1) |
(fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
-1/6 |
#s(literal -1/6 binary64) |
(- (* 1/24 x) 1/6) |
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) |
(- (* 1/24 x) 1/6) |
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) |
(- (* 1/24 x) 1/6) |
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/6 x)) |
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* x (- (* 1/24 x) 1/6))) |
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* x (- (* 1/24 x) 1/6))) |
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) |
(* -1/720 x) |
(*.f64 x #s(literal -1/720 binary64)) |
(* -1/720 x) |
(*.f64 x #s(literal -1/720 binary64)) |
(* -1/720 x) |
(*.f64 x #s(literal -1/720 binary64)) |
(* -1/720 x) |
(*.f64 x #s(literal -1/720 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/6 x)) |
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/6 x)) |
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/6 x)) |
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) |
(/ -1 (- (exp (neg x)) 1)) |
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
(/ -1 (- (exp (neg x)) 1)) |
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
(/ -1 (- (exp (neg x)) 1)) |
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 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 (neg x)) 1) |
(expm1.f64 (neg.f64 x)) |
(- (exp (neg x)) 1) |
(expm1.f64 (neg.f64 x)) |
(- (exp (neg x)) 1) |
(expm1.f64 (neg.f64 x)) |
(* 1/24 (pow x 4)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) |
(* (pow x 4) (- 1/24 (* 1/6 (/ 1 x)))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (+.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 x (*.f64 x x)) x) (-.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))) |
(* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x))) |
(* 1/24 (pow x 3)) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal 1/24 binary64))) |
(* (pow x 3) (- 1/24 (* 1/6 (/ 1 x)))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) |
(* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x)))) |
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) |
(* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.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 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(+ 1/2 (/ 1 x)) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(+ 1/2 (/ 1 x)) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(* -1/720 (pow x 3)) |
(*.f64 #s(literal -1/720 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))) |
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720)) |
(*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))))))) |
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720)) |
(fma.f64 x #s(literal 1/12 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))) (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x)))) |
(* -1/720 (pow x 3)) |
(*.f64 #s(literal -1/720 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))) |
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))) |
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))) |
(* -1/720 (pow x 2)) |
(*.f64 #s(literal -1/720 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) |
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) |
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(fma.f64 x (*.f64 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))) |
(/ -1 (- (exp (neg x)) 1)) |
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
(/ -1 (- (exp (neg x)) 1)) |
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 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 (neg x)) 1) |
(expm1.f64 (neg.f64 x)) |
(- (exp (neg x)) 1) |
(expm1.f64 (neg.f64 x)) |
(- (exp (neg x)) 1) |
(expm1.f64 (neg.f64 x)) |
(* 1/2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
(* (pow x 2) (- 1/2 (/ 1 x))) |
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) |
(* (pow x 2) (- 1/2 (/ 1 x))) |
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) |
(* (pow x 2) (- 1/2 (/ 1 x))) |
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* x (- 1/2 (/ 1 x))) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) |
(* x (- 1/2 (/ 1 x))) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) |
(* x (- 1/2 (/ 1 x))) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) |
(/ -1 (- (exp (neg x)) 1)) |
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
(/ -1 (- (exp (neg x)) 1)) |
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
(/ -1 (- (exp (neg x)) 1)) |
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 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 (neg x)) 1) |
(expm1.f64 (neg.f64 x)) |
(- (exp (neg x)) 1) |
(expm1.f64 (neg.f64 x)) |
(- (exp (neg x)) 1) |
(expm1.f64 (neg.f64 x)) |
(* -1/6 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/6)) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) |
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(* -1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/6 binary64))) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6)) |
(*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2))))) |
(fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2))))) |
(fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* x (- 1/24 (* 1/6 (/ 1 x)))) |
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) |
(* x (- 1/24 (* 1/6 (/ 1 x)))) |
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) |
(* x (- 1/24 (* 1/6 (/ 1 x)))) |
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) |
(* 1/24 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/24 binary64))) |
(* (pow x 2) (- 1/24 (* 1/6 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) |
(* (pow x 2) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x)))) |
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) |
(* (pow x 2) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x)))) |
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) |
(* -1/720 x) |
(*.f64 x #s(literal -1/720 binary64)) |
(* -1/720 x) |
(*.f64 x #s(literal -1/720 binary64)) |
(* -1/720 x) |
(*.f64 x #s(literal -1/720 binary64)) |
(* -1/720 x) |
(*.f64 x #s(literal -1/720 binary64)) |
(* -1/6 x) |
(*.f64 x #s(literal -1/6 binary64)) |
(* x (- (* 1/2 (/ 1 x)) 1/6)) |
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) |
(* x (- (* 1/2 (/ 1 x)) 1/6)) |
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) |
(* x (- (* 1/2 (/ 1 x)) 1/6)) |
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) |
(/ -1 (- (exp (* -1 x)) 1)) |
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
(/ -1 (- (exp (* -1 x)) 1)) |
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
(/ -1 (- (exp (* -1 x)) 1)) |
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 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)) |
(- (exp (* -1 x)) 1) |
(expm1.f64 (neg.f64 x)) |
(- (exp (* -1 x)) 1) |
(expm1.f64 (neg.f64 x)) |
(- (exp (* -1 x)) 1) |
(expm1.f64 (neg.f64 x)) |
(* 1/24 (pow x 4)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) |
(* (pow x 4) (- 1/24 (* 1/6 (/ 1 x)))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/6 binary64) x))) |
(* (pow x 4) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x)))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (-.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))) |
(* (pow x 4) (+ 1/24 (* -1 (/ (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x))) x)))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x))) |
(* 1/24 (pow x 3)) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal 1/24 binary64))) |
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/6) x)) 1/24))) |
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6) x)) 1/24))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.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 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(+ 1/2 (/ 1 x)) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(+ 1/2 (/ 1 x)) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(* -1/720 (pow x 3)) |
(*.f64 #s(literal -1/720 binary64) (*.f64 x (*.f64 x x))) |
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2)))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))) |
(* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2)))))) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal -1/720 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))) |
(* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2)))))) |
(*.f64 x (fma.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 x (*.f64 x x)))) (*.f64 x (neg.f64 x)) #s(literal 1/12 binary64))) |
(* -1/720 (pow x 3)) |
(*.f64 #s(literal -1/720 binary64) (*.f64 x (*.f64 x x))) |
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2)))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))) |
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2)))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))) |
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2)))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))) |
(* -1/720 (pow x 2)) |
(*.f64 #s(literal -1/720 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) |
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) |
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(fma.f64 x (*.f64 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))) |
(/ -1 (- (exp (* -1 x)) 1)) |
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
(/ -1 (- (exp (* -1 x)) 1)) |
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 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)) |
(- (exp (* -1 x)) 1) |
(expm1.f64 (neg.f64 x)) |
(- (exp (* -1 x)) 1) |
(expm1.f64 (neg.f64 x)) |
(- (exp (* -1 x)) 1) |
(expm1.f64 (neg.f64 x)) |
(* 1/2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
(* (pow x 2) (- 1/2 (/ 1 x))) |
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) |
(* (pow x 2) (- 1/2 (/ 1 x))) |
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) |
(* (pow x 2) (- 1/2 (/ 1 x))) |
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* -1 (* x (- (/ 1 x) 1/2))) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) |
(* -1 (* x (- (/ 1 x) 1/2))) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) |
(* -1 (* x (- (/ 1 x) 1/2))) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) |
(/ -1 (- (exp (* -1 x)) 1)) |
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
(/ -1 (- (exp (* -1 x)) 1)) |
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
(/ -1 (- (exp (* -1 x)) 1)) |
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 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)) |
(- (exp (* -1 x)) 1) |
(expm1.f64 (neg.f64 x)) |
(- (exp (* -1 x)) 1) |
(expm1.f64 (neg.f64 x)) |
(- (exp (* -1 x)) 1) |
(expm1.f64 (neg.f64 x)) |
(* -1/6 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(* -1 (* (pow x 3) (- 1/6 (* 1/2 (/ 1 x))))) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)))) |
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x))))) |
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x))))) |
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(* -1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/6 binary64))) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6)) |
(*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) |
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6)) |
(fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6)) |
(fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24))) |
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) |
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24))) |
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) |
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24))) |
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) |
(* 1/24 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/24 binary64))) |
(* (pow x 2) (- 1/24 (* 1/6 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) |
(* (pow x 2) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x)))) |
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x)))) |
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) |
(* -1/720 x) |
(*.f64 x #s(literal -1/720 binary64)) |
(* -1/720 x) |
(*.f64 x #s(literal -1/720 binary64)) |
(* -1/720 x) |
(*.f64 x #s(literal -1/720 binary64)) |
(* -1/720 x) |
(*.f64 x #s(literal -1/720 binary64)) |
(* -1/6 x) |
(*.f64 x #s(literal -1/6 binary64)) |
(* -1 (* x (- 1/6 (* 1/2 (/ 1 x))))) |
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) |
(* -1 (* x (- 1/6 (* 1/2 (/ 1 x))))) |
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) |
(* -1 (* x (- 1/6 (* 1/2 (/ 1 x))))) |
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) |
| 4 288× | lower-*.f32 |
| 4 278× | lower-*.f64 |
| 4 188× | lower-/.f32 |
| 4 182× | lower-/.f64 |
| 2 866× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 254 |
| 0 | 66 | 252 |
| 1 | 324 | 252 |
| 2 | 2355 | 252 |
| 0 | 8081 | 234 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
#s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) |
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))) |
#s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64)) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) (+ (* x (+ (* -1/720 (* x x)) 1/12)) 1/2)) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))))) |
#s(approx (+ (/ 1 x) (+ (* x (+ (* -1/720 (* x x)) 1/12)) 1/2)) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))) |
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))) |
#s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))) |
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
#s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) |
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) |
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) |
(*.f64 x #s(literal -1/720 binary64)) |
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (neg.f64 #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))) #s(literal -1 binary64))) |
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(/.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) #s(literal -1/4 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))) |
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(/.f64 (neg.f64 (fma.f64 (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (*.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))) (*.f64 x (*.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))))))) |
(/.f64 (neg.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64)))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))))) (-.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (*.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) #s(literal 1/4 binary64)) (*.f64 x (*.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))))) |
(pow.f64 (/.f64 (-.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) #s(literal 1/4 binary64)) (*.f64 x (*.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))) (fma.f64 (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (*.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))) #s(literal 1/8 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64)) (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) #s(literal -1/4 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (*.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) #s(literal 1/4 binary64)) (*.f64 x (*.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))))) |
(*.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64)))) |
(*.f64 x #s(literal -1/720 binary64)) |
(*.f64 #s(literal -1/720 binary64) x) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))) |
(+.f64 (*.f64 x #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)))) |
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))) |
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/12 binary64)))) (fma.f64 #s(literal -1/216 binary64) (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) #s(literal -1/4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/12 binary64)))) (fma.f64 #s(literal -1/216 binary64) (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) #s(literal -1/4 binary64)))) |
(/.f64 (fma.f64 #s(literal -1/216 binary64) (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/12 binary64))))) |
(/.f64 (fma.f64 #s(literal -1/216 binary64) (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (*.f64 x #s(literal -1/12 binary64))))) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1/216 binary64) (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/12 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1/216 binary64) (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (*.f64 x #s(literal -1/12 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64))) (*.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/216 binary64) (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/12 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))) |
(pow.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/12 binary64)))) (fma.f64 #s(literal -1/216 binary64) (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 #s(literal -1/216 binary64) (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/12 binary64)))))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)))) |
Compiled 12 247 to 1 403 computations (88.5% saved)
38 alts after pruning (28 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 604 | 21 | 625 |
| Fresh | 1 | 7 | 8 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 5 | 5 |
| Total | 605 | 38 | 643 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 37.0% | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| ✓ | 100.0% | (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
| ▶ | 89.3% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x)))) |
| 87.8% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x)))) | |
| ▶ | 81.0% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (neg.f64 x)))) |
| 34.0% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))) (*.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))))) (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))) (neg.f64 x))))) | |
| 74.7% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (/.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)) x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) | |
| 78.5% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (/.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) x) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) | |
| ✓ | 89.3% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
| 75.6% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 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))))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) | |
| 89.3% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (/.f64 (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))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) | |
| 89.3% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (/.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)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) | |
| ▶ | 89.3% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
| ✓ | 87.8% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
| 75.6% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (/.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) #s(literal -1/4 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64))))) | |
| 88.4% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(approx (+ (* x (+ (* x 1/24) -1/6)) 1/2) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) #s(literal -1 binary64))))) | |
| ✓ | 81.0% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))) |
| 73.9% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (*.f64 (fma.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))) | |
| 26.9% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))))) | |
| ▶ | 24.6% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/24 binary64))))))) |
| 24.9% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))))))) | |
| 23.6% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))))))) | |
| 25.6% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))))) | |
| 17.0% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x 1/2) -1) (*.f64 x #s(literal 1/2 binary64)))))) | |
| 24.6% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))))) | |
| 67.6% | (*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (-.f64 (neg.f64 x) x))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))) | |
| 19.3% | #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x)))) (*.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))))) | |
| 67.5% | #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) | |
| 67.4% | #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)) | |
| ✓ | 67.5% | #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) |
| ✓ | 67.5% | #s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)))) |
| ✓ | 67.2% | #s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) |
| 67.5% | #s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/12 binary64))))) | |
| 67.4% | #s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) #s(approx (+ (* x 1/12) (/ 1 x)) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) x)))) | |
| ✓ | 3.0% | #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) (+ (* x (+ (* -1/720 (* x x)) 1/12)) 1/2)) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))))) |
| ▶ | 3.2% | #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) (+ (* x (+ (* -1/720 (* x x)) 1/12)) 1/2)) (*.f64 x #s(approx (+ (* x (* x -1/720)) 1/12) #s(literal 1/12 binary64))))) |
| ✓ | 3.2% | #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))) |
| 3.0% | #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (+ (* x 1/12) (/ 1 x))) (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))) |
Compiled 1 179 to 654 computations (44.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))) | |
| cost-diff | 0 | #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) | |
| cost-diff | 320 | (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) | |
| cost-diff | 0 | #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/24 binary64)))) | |
| cost-diff | 0 | (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/24 binary64))))) | |
| cost-diff | 0 | #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/24 binary64)))))) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/24 binary64))))))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | #s(approx (- (exp (neg x)) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (neg.f64 x))) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (neg.f64 x)))) | |
| cost-diff | 128 | (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (neg.f64 x)) | |
| cost-diff | 0 | #s(approx (+ (* x (* x -1/720)) 1/12) #s(literal 1/12 binary64)) | |
| cost-diff | 0 | (*.f64 x #s(approx (+ (* x (* x -1/720)) 1/12) #s(literal 1/12 binary64))) | |
| cost-diff | 0 | #s(approx (+ (/ 1 x) (+ (* x (+ (* -1/720 (* x x)) 1/12)) 1/2)) (*.f64 x #s(approx (+ (* x (* x -1/720)) 1/12) #s(literal 1/12 binary64)))) | |
| cost-diff | 0 | #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) (+ (* x (+ (* -1/720 (* x x)) 1/12)) 1/2)) (*.f64 x #s(approx (+ (* x (* x -1/720)) 1/12) #s(literal 1/12 binary64))))) | |
| cost-diff | 0 | (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x))) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x)))) | |
| cost-diff | 128 | (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x)) |
| 12 660× | lower-fma.f32 |
| 12 644× | lower-fma.f64 |
| 3 572× | lower-*.f32 |
| 3 558× | lower-*.f64 |
| 1 882× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 465 |
| 0 | 89 | 465 |
| 1 | 172 | 453 |
| 2 | 348 | 443 |
| 3 | 736 | 443 |
| 4 | 1860 | 443 |
| 5 | 3639 | 443 |
| 6 | 6230 | 443 |
| 0 | 8064 | 407 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x)))) |
#s(literal -1 binary64) |
#s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x))) |
(fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x)) |
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) |
x |
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) |
#s(literal 1/24 binary64) |
#s(literal -1/6 binary64) |
#s(literal 1/2 binary64) |
(*.f64 x x) |
(neg.f64 x) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) (+ (* x (+ (* -1/720 (* x x)) 1/12)) 1/2)) (*.f64 x #s(approx (+ (* x (* x -1/720)) 1/12) #s(literal 1/12 binary64))))) |
#s(approx (+ (/ 1 x) (+ (* x (+ (* -1/720 (* x x)) 1/12)) 1/2)) (*.f64 x #s(approx (+ (* x (* x -1/720)) 1/12) #s(literal 1/12 binary64)))) |
(*.f64 x #s(approx (+ (* x (* x -1/720)) 1/12) #s(literal 1/12 binary64))) |
x |
#s(approx (+ (* x (* x -1/720)) 1/12) #s(literal 1/12 binary64)) |
#s(literal 1/12 binary64) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (neg.f64 x)))) |
#s(literal -1 binary64) |
#s(approx (- (exp (neg x)) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (neg.f64 x))) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (neg.f64 x)) |
(*.f64 x x) |
x |
#s(literal 1/2 binary64) |
(neg.f64 x) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/24 binary64))))))) |
#s(literal -1 binary64) |
#s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/24 binary64)))))) |
(*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/24 binary64))))) |
x |
#s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/24 binary64)))) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal 1/24 binary64))) |
(*.f64 x x) |
(*.f64 x #s(literal 1/24 binary64)) |
#s(literal 1/24 binary64) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
#s(literal -1 binary64) |
#s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) |
(*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
x |
(fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (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 x x) |
#s(literal 1/576 binary64) |
#s(literal -1/36 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) |
#s(literal 1 binary64) |
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) |
#s(literal 1/24 binary64) |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
| Outputs |
|---|
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
#s(literal -1 binary64) |
#s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x))) |
#s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x)) |
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) |
x |
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) |
#s(literal 1/24 binary64) |
#s(literal -1/6 binary64) |
#s(literal 1/2 binary64) |
(*.f64 x x) |
(neg.f64 x) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) (+ (* x (+ (* -1/720 (* x x)) 1/12)) 1/2)) (*.f64 x #s(approx (+ (* x (* x -1/720)) 1/12) #s(literal 1/12 binary64))))) |
#s(approx (+ (/ 1 x) (+ (* x (+ (* -1/720 (* x x)) 1/12)) 1/2)) (*.f64 x #s(approx (+ (* x (* x -1/720)) 1/12) #s(literal 1/12 binary64)))) |
(*.f64 x #s(approx (+ (* x (* x -1/720)) 1/12) #s(literal 1/12 binary64))) |
x |
#s(approx (+ (* x (* x -1/720)) 1/12) #s(literal 1/12 binary64)) |
#s(literal 1/12 binary64) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (neg.f64 x)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))) |
#s(literal -1 binary64) |
#s(approx (- (exp (neg x)) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (neg.f64 x))) |
#s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (neg.f64 x)) |
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) |
(*.f64 x x) |
x |
#s(literal 1/2 binary64) |
(neg.f64 x) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/24 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 x x))))))) |
#s(literal -1 binary64) |
#s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/24 binary64)))))) |
#s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))))) |
(*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/24 binary64))))) |
(*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 x x))))) |
x |
#s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/24 binary64)))) |
#s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal 1/24 binary64))) |
(*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) |
(*.f64 x x) |
(*.f64 x #s(literal 1/24 binary64)) |
#s(literal 1/24 binary64) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64)) (/.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
#s(literal -1 binary64) |
#s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) |
#s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64)) (/.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) |
(*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 x (fma.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64)) (/.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
x |
(fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(fma.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64)) (/.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64)) (/.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) |
(/.f64 (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64)) (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)) |
(fma.f64 x (*.f64 x #s(literal 1/576 binary64)) #s(literal -1/36 binary64)) |
(*.f64 x x) |
#s(literal 1/576 binary64) |
#s(literal -1/36 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) |
#s(literal 1 binary64) |
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) |
#s(literal 1/24 binary64) |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0859375 | (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) | |
| accuracy | 0.125 | (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) | |
| accuracy | 6.875363544810522 | #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) | |
| accuracy | 8.237100843376648 | (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) | |
| accuracy | 0.125 | (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/24 binary64))) | |
| accuracy | 0.33203125 | (*.f64 x #s(literal 1/24 binary64)) | |
| accuracy | 6.875363544810522 | #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/24 binary64)))))) | |
| accuracy | 42.212838606381474 | #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/24 binary64)))) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0.00390625 | (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (neg.f64 x)) | |
| accuracy | 0.00390625 | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (neg.f64 x)))) | |
| accuracy | 12.181488231584652 | #s(approx (- (exp (neg x)) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (neg.f64 x))) | |
| accuracy | 0.23828125 | (*.f64 x #s(approx (+ (* x (* x -1/720)) 1/12) #s(literal 1/12 binary64))) | |
| accuracy | 20.789259239779568 | #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) (+ (* x (+ (* -1/720 (* x x)) 1/12)) 1/2)) (*.f64 x #s(approx (+ (* x (* x -1/720)) 1/12) #s(literal 1/12 binary64))))) | |
| accuracy | 21.348311168662622 | #s(approx (+ (* x (* x -1/720)) 1/12) #s(literal 1/12 binary64)) | |
| accuracy | 41.81126799813084 | #s(approx (+ (/ 1 x) (+ (* x (+ (* -1/720 (* x x)) 1/12)) 1/2)) (*.f64 x #s(approx (+ (* x (* x -1/720)) 1/12) #s(literal 1/12 binary64)))) | |
| accuracy | 0.046875 | (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) | |
| accuracy | 0.05078125 | (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x)) | |
| accuracy | 0.10546875 | (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) | |
| accuracy | 6.875363544810522 | #s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x))) |
| 106.0ms | 256× | 0 | valid |
Compiled 302 to 52 computations (82.8% saved)
ival-mult: 29.0ms (35.2% of total)const: 19.0ms (23% of total)ival-add: 17.0ms (20.6% of total)ival-div: 11.0ms (13.3% of total)ival-expm1: 3.0ms (3.6% of total)ival-exp: 2.0ms (2.4% of total)ival-neg: 1.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x))> |
#<alt (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x))))> |
#<alt #s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x)))> |
#<alt (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))> |
#<alt #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) (+ (* x (+ (* -1/720 (* x x)) 1/12)) 1/2)) (*.f64 x #s(approx (+ (* x (* x -1/720)) 1/12) #s(literal 1/12 binary64)))))> |
#<alt #s(approx (+ (/ 1 x) (+ (* x (+ (* -1/720 (* x x)) 1/12)) 1/2)) (*.f64 x #s(approx (+ (* x (* x -1/720)) 1/12) #s(literal 1/12 binary64))))> |
#<alt (*.f64 x #s(approx (+ (* x (* x -1/720)) 1/12) #s(literal 1/12 binary64)))> |
#<alt #s(approx (+ (* x (* x -1/720)) 1/12) #s(literal 1/12 binary64))> |
#<alt (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (neg.f64 x))> |
#<alt (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (neg.f64 x))))> |
#<alt #s(approx (- (exp (neg x)) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (neg.f64 x)))> |
#<alt (*.f64 x x)> |
#<alt (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/24 binary64)))))))> |
#<alt #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/24 binary64))))))> |
#<alt (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/24 binary64)))))> |
#<alt #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/24 binary64))))> |
#<alt (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))> |
#<alt (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))> |
#<alt #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))> |
#<alt (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))> |
#<alt (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))> |
#<alt (neg.f64 x)> |
#<alt (*.f64 x #s(literal 1/24 binary64))> |
#<alt (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/24 binary64)))> |
#<alt (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))> |
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))> |
| Outputs |
|---|
#<alt (* -1 x)> |
#<alt (* x (- (* 1/2 x) 1))> |
#<alt (* x (- (* x (+ 1/2 (* -1/6 x))) 1))> |
#<alt (* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))> |
#<alt (/ 1 x)> |
#<alt (/ (+ 1 (* 1/2 x)) x)> |
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)> |
#<alt (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)> |
#<alt (* -1 x)> |
#<alt (* x (- (* 1/2 x) 1))> |
#<alt (* x (- (* x (+ 1/2 (* -1/6 x))) 1))> |
#<alt (* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))> |
#<alt 1/2> |
#<alt (+ 1/2 (* -1/6 x))> |
#<alt (+ 1/2 (* x (- (* 1/24 x) 1/6)))> |
#<alt (+ 1/2 (* x (- (* 1/24 x) 1/6)))> |
#<alt (/ 1 x)> |
#<alt (/ (+ 1 (* 1/2 x)) x)> |
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)> |
#<alt (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)> |
#<alt (/ 1 x)> |
#<alt (/ (+ 1 (* 1/2 x)) x)> |
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)> |
#<alt (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)> |
#<alt (* 1/12 x)> |
#<alt (* x (+ 1/12 (* -1/720 (pow x 2))))> |
#<alt (* x (+ 1/12 (* -1/720 (pow x 2))))> |
#<alt (* x (+ 1/12 (* -1/720 (pow x 2))))> |
#<alt 1/12> |
#<alt (+ 1/12 (* -1/720 (pow x 2)))> |
#<alt (+ 1/12 (* -1/720 (pow x 2)))> |
#<alt (+ 1/12 (* -1/720 (pow x 2)))> |
#<alt (* -1 x)> |
#<alt (* x (- (* 1/2 x) 1))> |
#<alt (* x (- (* 1/2 x) 1))> |
#<alt (* x (- (* 1/2 x) 1))> |
#<alt (/ 1 x)> |
#<alt (/ (+ 1 (* 1/2 x)) x)> |
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)> |
#<alt (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)> |
#<alt (* -1 x)> |
#<alt (* x (- (* 1/2 x) 1))> |
#<alt (* x (- (* x (+ 1/2 (* -1/6 x))) 1))> |
#<alt (* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (/ 1 x)> |
#<alt (/ (+ 1 (* 1/2 x)) x)> |
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)> |
#<alt (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)> |
#<alt (* -1 x)> |
#<alt (* x (- (* 1/2 x) 1))> |
#<alt (* x (- (* x (+ 1/2 (* -1/6 x))) 1))> |
#<alt (* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))> |
#<alt (* -1 x)> |
#<alt (* x (- (* 1/2 x) 1))> |
#<alt (* x (- (* x (+ 1/2 (* -1/6 x))) 1))> |
#<alt (* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))> |
#<alt -1> |
#<alt (- (* 1/2 x) 1)> |
#<alt (- (* x (+ 1/2 (* -1/6 x))) 1)> |
#<alt (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1)> |
#<alt -1/6> |
#<alt (- (* 1/24 x) 1/6)> |
#<alt (- (* 1/24 x) 1/6)> |
#<alt (- (* 1/24 x) 1/6)> |
#<alt (/ 1 x)> |
#<alt (/ (+ 1 (* 1/2 x)) x)> |
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)> |
#<alt (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)> |
#<alt (* -1 x)> |
#<alt (* x (- (* 1/2 x) 1))> |
#<alt (* x (- (* x (+ 1/2 (* -1/6 x))) 1))> |
#<alt (* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))> |
#<alt (* -1 x)> |
#<alt (* x (- (* 1/2 x) 1))> |
#<alt (* x (- (* x (+ 1/2 (* -1/6 x))) 1))> |
#<alt (* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))> |
#<alt -1/6> |
#<alt (- (* 1/24 x) 1/6)> |
#<alt (- (* 1/24 x) 1/6)> |
#<alt (- (* 1/24 x) 1/6)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 (pow x 3))> |
#<alt (* 1/24 (pow x 3))> |
#<alt (* 1/24 (pow x 3))> |
#<alt (* 1/24 (pow x 3))> |
#<alt 1/6> |
#<alt (+ 1/6 (* 1/24 x))> |
#<alt (+ 1/6 (* 1/24 x))> |
#<alt (+ 1/6 (* 1/24 x))> |
#<alt 6> |
#<alt (+ 6 (* -3/2 x))> |
#<alt (+ 6 (* x (- (* 3/8 x) 3/2)))> |
#<alt (+ 6 (* x (- (* x (+ 3/8 (* -3/32 x))) 3/2)))> |
#<alt (* 1/24 (pow x 4))> |
#<alt (* (pow x 4) (- 1/24 (* 1/6 (/ 1 x))))> |
#<alt (* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))> |
#<alt (* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))> |
#<alt (/ -1 (- (exp (neg x)) 1))> |
#<alt (/ -1 (- (exp (neg x)) 1))> |
#<alt (/ -1 (- (exp (neg x)) 1))> |
#<alt (/ -1 (- (exp (neg x)) 1))> |
#<alt (- (exp (neg x)) 1)> |
#<alt (- (exp (neg x)) 1)> |
#<alt (- (exp (neg x)) 1)> |
#<alt (- (exp (neg x)) 1)> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))> |
#<alt (* (pow x 2) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))> |
#<alt (* (pow x 2) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))> |
#<alt (/ (exp x) (- (exp x) 1))> |
#<alt (/ (exp x) (- (exp x) 1))> |
#<alt (/ (exp x) (- (exp x) 1))> |
#<alt (/ (exp x) (- (exp x) 1))> |
#<alt (* -1/720 (pow x 3))> |
#<alt (* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))> |
#<alt (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))> |
#<alt (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))> |
#<alt (* -1/720 (pow x 3))> |
#<alt (* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))> |
#<alt (* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))> |
#<alt (* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))> |
#<alt (* -1/720 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))> |
#<alt (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))> |
#<alt (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))> |
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))> |
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))> |
#<alt (/ -1 (- (exp (neg x)) 1))> |
#<alt (/ -1 (- (exp (neg x)) 1))> |
#<alt (/ -1 (- (exp (neg x)) 1))> |
#<alt (/ -1 (- (exp (neg x)) 1))> |
#<alt (- (exp (neg x)) 1)> |
#<alt (- (exp (neg x)) 1)> |
#<alt (- (exp (neg x)) 1)> |
#<alt (- (exp (neg x)) 1)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (/ -1 (- (exp (neg x)) 1))> |
#<alt (/ -1 (- (exp (neg x)) 1))> |
#<alt (/ -1 (- (exp (neg x)) 1))> |
#<alt (/ -1 (- (exp (neg x)) 1))> |
#<alt (- (exp (neg x)) 1)> |
#<alt (- (exp (neg x)) 1)> |
#<alt (- (exp (neg x)) 1)> |
#<alt (- (exp (neg x)) 1)> |
#<alt (* 1/24 (pow x 4))> |
#<alt (* (pow x 4) (- 1/24 (* 1/6 (/ 1 x))))> |
#<alt (* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))> |
#<alt (* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))> |
#<alt (* 1/24 (pow x 3))> |
#<alt (* (pow x 3) (- 1/24 (* 1/6 (/ 1 x))))> |
#<alt (* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))> |
#<alt (* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))> |
#<alt (* 1/24 x)> |
#<alt (* x (- 1/24 (* 1/6 (/ 1 x))))> |
#<alt (* x (- 1/24 (* 1/6 (/ 1 x))))> |
#<alt (* x (- 1/24 (* 1/6 (/ 1 x))))> |
#<alt (/ -1 (- (exp (neg x)) 1))> |
#<alt (/ -1 (- (exp (neg x)) 1))> |
#<alt (/ -1 (- (exp (neg x)) 1))> |
#<alt (/ -1 (- (exp (neg x)) 1))> |
#<alt (- (exp (neg x)) 1)> |
#<alt (- (exp (neg x)) 1)> |
#<alt (- (exp (neg x)) 1)> |
#<alt (- (exp (neg x)) 1)> |
#<alt (* 1/24 (pow x 4))> |
#<alt (* (pow x 4) (- 1/24 (* 1/6 (/ 1 x))))> |
#<alt (* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))> |
#<alt (* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))> |
#<alt (* 1/24 x)> |
#<alt (* x (- 1/24 (* 1/6 (/ 1 x))))> |
#<alt (* x (- 1/24 (* 1/6 (/ 1 x))))> |
#<alt (* x (- 1/24 (* 1/6 (/ 1 x))))> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 (pow x 3))> |
#<alt (* 1/24 (pow x 3))> |
#<alt (* 1/24 (pow x 3))> |
#<alt (* 1/24 (pow x 3))> |
#<alt (* 1/24 x)> |
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))> |
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))> |
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))> |
#<alt (/ 24 x)> |
#<alt (/ (- 24 (* 96 (/ 1 x))) x)> |
#<alt (/ (- (+ 24 (/ 384 (pow x 2))) (* 96 (/ 1 x))) x)> |
#<alt (/ (- (+ 24 (/ 384 (pow x 2))) (+ (* 96 (/ 1 x)) (* 1536 (/ 1 (pow x 3))))) x)> |
#<alt (* 1/24 (pow x 4))> |
#<alt (* (pow x 4) (- 1/24 (* 1/6 (/ 1 x))))> |
#<alt (* (pow x 4) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))> |
#<alt (* (pow x 4) (+ 1/24 (* -1 (/ (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x))) x))))> |
#<alt (/ -1 (- (exp (* -1 x)) 1))> |
#<alt (/ -1 (- (exp (* -1 x)) 1))> |
#<alt (/ -1 (- (exp (* -1 x)) 1))> |
#<alt (/ -1 (- (exp (* -1 x)) 1))> |
#<alt (- (exp (* -1 x)) 1)> |
#<alt (- (exp (* -1 x)) 1)> |
#<alt (- (exp (* -1 x)) 1)> |
#<alt (- (exp (* -1 x)) 1)> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))> |
#<alt (* (pow x 2) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))> |
#<alt (/ (exp x) (- (exp x) 1))> |
#<alt (/ (exp x) (- (exp x) 1))> |
#<alt (/ (exp x) (- (exp x) 1))> |
#<alt (/ (exp x) (- (exp x) 1))> |
#<alt (* -1/720 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2))))))> |
#<alt (* -1/720 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))> |
#<alt (* -1/720 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))> |
#<alt (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))> |
#<alt (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))> |
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))> |
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))> |
#<alt (/ -1 (- (exp (* -1 x)) 1))> |
#<alt (/ -1 (- (exp (* -1 x)) 1))> |
#<alt (/ -1 (- (exp (* -1 x)) 1))> |
#<alt (/ -1 (- (exp (* -1 x)) 1))> |
#<alt (- (exp (* -1 x)) 1)> |
#<alt (- (exp (* -1 x)) 1)> |
#<alt (- (exp (* -1 x)) 1)> |
#<alt (- (exp (* -1 x)) 1)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (/ -1 (- (exp (* -1 x)) 1))> |
#<alt (/ -1 (- (exp (* -1 x)) 1))> |
#<alt (/ -1 (- (exp (* -1 x)) 1))> |
#<alt (/ -1 (- (exp (* -1 x)) 1))> |
#<alt (- (exp (* -1 x)) 1)> |
#<alt (- (exp (* -1 x)) 1)> |
#<alt (- (exp (* -1 x)) 1)> |
#<alt (- (exp (* -1 x)) 1)> |
#<alt (* 1/24 (pow x 4))> |
#<alt (* (pow x 4) (- 1/24 (* 1/6 (/ 1 x))))> |
#<alt (* (pow x 4) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))> |
#<alt (* (pow x 4) (+ 1/24 (* -1 (/ (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x))) x))))> |
#<alt (* 1/24 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/6) x)) 1/24)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6) x)) 1/24)))> |
#<alt (* 1/24 x)> |
#<alt (* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))> |
#<alt (* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))> |
#<alt (* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))> |
#<alt (/ -1 (- (exp (* -1 x)) 1))> |
#<alt (/ -1 (- (exp (* -1 x)) 1))> |
#<alt (/ -1 (- (exp (* -1 x)) 1))> |
#<alt (/ -1 (- (exp (* -1 x)) 1))> |
#<alt (- (exp (* -1 x)) 1)> |
#<alt (- (exp (* -1 x)) 1)> |
#<alt (- (exp (* -1 x)) 1)> |
#<alt (- (exp (* -1 x)) 1)> |
#<alt (* 1/24 (pow x 4))> |
#<alt (* (pow x 4) (- 1/24 (* 1/6 (/ 1 x))))> |
#<alt (* (pow x 4) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))> |
#<alt (* (pow x 4) (+ 1/24 (* -1 (/ (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x))) x))))> |
#<alt (* 1/24 x)> |
#<alt (* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))> |
#<alt (* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))> |
#<alt (* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 (pow x 3))> |
#<alt (* 1/24 (pow x 3))> |
#<alt (* 1/24 (pow x 3))> |
#<alt (* 1/24 (pow x 3))> |
#<alt (* 1/24 x)> |
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))> |
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))> |
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))> |
#<alt (/ 24 x)> |
#<alt (* -1 (/ (- (* 96 (/ 1 x)) 24) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 384 (/ 1 x)) 96) x)) 24) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1536 (/ 1 x)) 384) x)) 96) x)) 24) x))> |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | inf | ((+ (* (+ (* x (+ (* x 1/24) -1/6)) 1/2) (* x x)) (neg x)) (/ -1 (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (+ (* x (+ (* x 1/24) -1/6)) 1/2) (/ (exp x) (- (exp x) 1)) (+ (/ 1 x) (+ (* x (+ (* -1/720 (* x x)) 1/12)) 1/2)) (* x (+ (* x (* x -1/720)) 1/12)) (+ (* x (* x -1/720)) 1/12) (+ (* (* x x) 1/2) (neg x)) (/ -1 (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (* x x) (/ -1 (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (* x (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1)) (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (* (+ (* (* x x) 1/576) -1/36) (/ 1 (+ (* x 1/24) 1/6))) (/ -1 (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (* x (+ (* x (+ (* x (* (+ (* (* x x) 1/576) -1/36) (/ 1 (+ (* x 1/24) 1/6)))) 1/2)) -1)) (+ (* x 1/24) -1/6) (neg x) (* x 1/24) (* (* x x) (* x 1/24)) (+ (* x 1/24) 1/6) (/ 1 (+ (* x 1/24) 1/6))) |
| 3.0ms | x | @ | -inf | ((+ (* (+ (* x (+ (* x 1/24) -1/6)) 1/2) (* x x)) (neg x)) (/ -1 (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (+ (* x (+ (* x 1/24) -1/6)) 1/2) (/ (exp x) (- (exp x) 1)) (+ (/ 1 x) (+ (* x (+ (* -1/720 (* x x)) 1/12)) 1/2)) (* x (+ (* x (* x -1/720)) 1/12)) (+ (* x (* x -1/720)) 1/12) (+ (* (* x x) 1/2) (neg x)) (/ -1 (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (* x x) (/ -1 (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (* x (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1)) (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (* (+ (* (* x x) 1/576) -1/36) (/ 1 (+ (* x 1/24) 1/6))) (/ -1 (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (* x (+ (* x (+ (* x (* (+ (* (* x x) 1/576) -1/36) (/ 1 (+ (* x 1/24) 1/6)))) 1/2)) -1)) (+ (* x 1/24) -1/6) (neg x) (* x 1/24) (* (* x x) (* x 1/24)) (+ (* x 1/24) 1/6) (/ 1 (+ (* x 1/24) 1/6))) |
| 2.0ms | x | @ | 0 | ((+ (* (+ (* x (+ (* x 1/24) -1/6)) 1/2) (* x x)) (neg x)) (/ -1 (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (+ (* x (+ (* x 1/24) -1/6)) 1/2) (/ (exp x) (- (exp x) 1)) (+ (/ 1 x) (+ (* x (+ (* -1/720 (* x x)) 1/12)) 1/2)) (* x (+ (* x (* x -1/720)) 1/12)) (+ (* x (* x -1/720)) 1/12) (+ (* (* x x) 1/2) (neg x)) (/ -1 (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (* x x) (/ -1 (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (* x (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1)) (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (* (+ (* (* x x) 1/576) -1/36) (/ 1 (+ (* x 1/24) 1/6))) (/ -1 (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (* x (+ (* x (+ (* x (* (+ (* (* x x) 1/576) -1/36) (/ 1 (+ (* x 1/24) 1/6)))) 1/2)) -1)) (+ (* x 1/24) -1/6) (neg x) (* x 1/24) (* (* x x) (* x 1/24)) (+ (* x 1/24) 1/6) (/ 1 (+ (* x 1/24) 1/6))) |
| 1× | egg-herbie |
| 15 808× | lower-fma.f64 |
| 15 808× | lower-fma.f32 |
| 4 282× | lower-*.f64 |
| 4 282× | lower-*.f32 |
| 3 366× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 201 | 2227 |
| 1 | 560 | 2179 |
| 2 | 1557 | 2157 |
| 3 | 4581 | 2142 |
| 0 | 8355 | 1833 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -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 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)) |
1/2 |
(+ 1/2 (* -1/6 x)) |
(+ 1/2 (* x (- (* 1/24 x) 1/6))) |
(+ 1/2 (* x (- (* 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) |
(/ (+ 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) |
(* 1/12 x) |
(* x (+ 1/12 (* -1/720 (pow x 2)))) |
(* x (+ 1/12 (* -1/720 (pow x 2)))) |
(* x (+ 1/12 (* -1/720 (pow x 2)))) |
1/12 |
(+ 1/12 (* -1/720 (pow x 2))) |
(+ 1/12 (* -1/720 (pow x 2))) |
(+ 1/12 (* -1/720 (pow x 2))) |
(* -1 x) |
(* x (- (* 1/2 x) 1)) |
(* x (- (* 1/2 x) 1)) |
(* x (- (* 1/2 x) 1)) |
(/ 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)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(/ 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 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) |
-1/6 |
(- (* 1/24 x) 1/6) |
(- (* 1/24 x) 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 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)) |
-1/6 |
(- (* 1/24 x) 1/6) |
(- (* 1/24 x) 1/6) |
(- (* 1/24 x) 1/6) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 (pow x 3)) |
(* 1/24 (pow x 3)) |
(* 1/24 (pow x 3)) |
(* 1/24 (pow x 3)) |
1/6 |
(+ 1/6 (* 1/24 x)) |
(+ 1/6 (* 1/24 x)) |
(+ 1/6 (* 1/24 x)) |
6 |
(+ 6 (* -3/2 x)) |
(+ 6 (* x (- (* 3/8 x) 3/2))) |
(+ 6 (* x (- (* x (+ 3/8 (* -3/32 x))) 3/2))) |
(* 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 (- (exp (neg x)) 1)) |
(/ -1 (- (exp (neg x)) 1)) |
(/ -1 (- (exp (neg x)) 1)) |
(/ -1 (- (exp (neg x)) 1)) |
(- (exp (neg x)) 1) |
(- (exp (neg x)) 1) |
(- (exp (neg x)) 1) |
(- (exp (neg x)) 1) |
(* 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)))) |
(* (pow x 2) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x)))) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(* -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 3)) |
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(* -1/720 (pow x 2)) |
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (- 1/2 (/ 1 x))) |
(* (pow x 2) (- 1/2 (/ 1 x))) |
(* (pow x 2) (- 1/2 (/ 1 x))) |
(/ -1 (- (exp (neg x)) 1)) |
(/ -1 (- (exp (neg x)) 1)) |
(/ -1 (- (exp (neg x)) 1)) |
(/ -1 (- (exp (neg x)) 1)) |
(- (exp (neg x)) 1) |
(- (exp (neg x)) 1) |
(- (exp (neg x)) 1) |
(- (exp (neg x)) 1) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(/ -1 (- (exp (neg x)) 1)) |
(/ -1 (- (exp (neg x)) 1)) |
(/ -1 (- (exp (neg x)) 1)) |
(/ -1 (- (exp (neg x)) 1)) |
(- (exp (neg x)) 1) |
(- (exp (neg 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))))) |
(* 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))))) |
(* 1/24 x) |
(* x (- 1/24 (* 1/6 (/ 1 x)))) |
(* x (- 1/24 (* 1/6 (/ 1 x)))) |
(* x (- 1/24 (* 1/6 (/ 1 x)))) |
(/ -1 (- (exp (neg x)) 1)) |
(/ -1 (- (exp (neg x)) 1)) |
(/ -1 (- (exp (neg x)) 1)) |
(/ -1 (- (exp (neg x)) 1)) |
(- (exp (neg x)) 1) |
(- (exp (neg 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))))) |
(* 1/24 x) |
(* x (- 1/24 (* 1/6 (/ 1 x)))) |
(* x (- 1/24 (* 1/6 (/ 1 x)))) |
(* x (- 1/24 (* 1/6 (/ 1 x)))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 (pow x 3)) |
(* 1/24 (pow x 3)) |
(* 1/24 (pow x 3)) |
(* 1/24 (pow x 3)) |
(* 1/24 x) |
(* x (+ 1/24 (* 1/6 (/ 1 x)))) |
(* x (+ 1/24 (* 1/6 (/ 1 x)))) |
(* x (+ 1/24 (* 1/6 (/ 1 x)))) |
(/ 24 x) |
(/ (- 24 (* 96 (/ 1 x))) x) |
(/ (- (+ 24 (/ 384 (pow x 2))) (* 96 (/ 1 x))) x) |
(/ (- (+ 24 (/ 384 (pow x 2))) (+ (* 96 (/ 1 x)) (* 1536 (/ 1 (pow x 3))))) x) |
(* 1/24 (pow x 4)) |
(* (pow x 4) (- 1/24 (* 1/6 (/ 1 x)))) |
(* (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 (- (exp (* -1 x)) 1)) |
(/ -1 (- (exp (* -1 x)) 1)) |
(/ -1 (- (exp (* -1 x)) 1)) |
(/ -1 (- (exp (* -1 x)) 1)) |
(- (exp (* -1 x)) 1) |
(- (exp (* -1 x)) 1) |
(- (exp (* -1 x)) 1) |
(- (exp (* -1 x)) 1) |
(* 1/24 (pow x 2)) |
(* (pow x 2) (- 1/24 (* 1/6 (/ 1 x)))) |
(* (pow x 2) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x)))) |
(* (pow x 2) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x)))) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(/ (exp x) (- (exp x) 1)) |
(* -1/720 (pow x 3)) |
(* -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)))))) |
(* -1/720 (pow x 3)) |
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2)))))) |
(* -1/720 (pow x 2)) |
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (- 1/2 (/ 1 x))) |
(* (pow x 2) (- 1/2 (/ 1 x))) |
(* (pow x 2) (- 1/2 (/ 1 x))) |
(/ -1 (- (exp (* -1 x)) 1)) |
(/ -1 (- (exp (* -1 x)) 1)) |
(/ -1 (- (exp (* -1 x)) 1)) |
(/ -1 (- (exp (* -1 x)) 1)) |
(- (exp (* -1 x)) 1) |
(- (exp (* -1 x)) 1) |
(- (exp (* -1 x)) 1) |
(- (exp (* -1 x)) 1) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(/ -1 (- (exp (* -1 x)) 1)) |
(/ -1 (- (exp (* -1 x)) 1)) |
(/ -1 (- (exp (* -1 x)) 1)) |
(/ -1 (- (exp (* -1 x)) 1)) |
(- (exp (* -1 x)) 1) |
(- (exp (* -1 x)) 1) |
(- (exp (* -1 x)) 1) |
(- (exp (* -1 x)) 1) |
(* 1/24 (pow x 4)) |
(* (pow x 4) (- 1/24 (* 1/6 (/ 1 x)))) |
(* (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)))) |
(* 1/24 (pow x 3)) |
(* -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))) |
(* 1/24 x) |
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24))) |
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24))) |
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24))) |
(/ -1 (- (exp (* -1 x)) 1)) |
(/ -1 (- (exp (* -1 x)) 1)) |
(/ -1 (- (exp (* -1 x)) 1)) |
(/ -1 (- (exp (* -1 x)) 1)) |
(- (exp (* -1 x)) 1) |
(- (exp (* -1 x)) 1) |
(- (exp (* -1 x)) 1) |
(- (exp (* -1 x)) 1) |
(* 1/24 (pow x 4)) |
(* (pow x 4) (- 1/24 (* 1/6 (/ 1 x)))) |
(* (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)))) |
(* 1/24 x) |
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24))) |
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24))) |
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 (pow x 3)) |
(* 1/24 (pow x 3)) |
(* 1/24 (pow x 3)) |
(* 1/24 (pow x 3)) |
(* 1/24 x) |
(* x (+ 1/24 (* 1/6 (/ 1 x)))) |
(* x (+ 1/24 (* 1/6 (/ 1 x)))) |
(* x (+ 1/24 (* 1/6 (/ 1 x)))) |
(/ 24 x) |
(* -1 (/ (- (* 96 (/ 1 x)) 24) x)) |
(* -1 (/ (- (* -1 (/ (- (* 384 (/ 1 x)) 96) x)) 24) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1536 (/ 1 x)) 384) x)) 96) x)) 24) x)) |
| Outputs |
|---|
(* -1 x) |
(neg.f64 x) |
(* x (- (* 1/2 x) 1)) |
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) |
(* x (- (* x (+ 1/2 (* -1/6 x))) 1)) |
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1)) |
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* 1/2 x)) x) |
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) |
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* 1/2 x) 1)) |
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) |
(* x (- (* x (+ 1/2 (* -1/6 x))) 1)) |
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1)) |
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/6 x)) |
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* x (- (* 1/24 x) 1/6))) |
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* x (- (* 1/24 x) 1/6))) |
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* 1/2 x)) x) |
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) |
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* 1/2 x)) x) |
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) |
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) |
(* 1/12 x) |
(*.f64 x #s(literal 1/12 binary64)) |
(* x (+ 1/12 (* -1/720 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))) |
(* x (+ 1/12 (* -1/720 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))) |
(* x (+ 1/12 (* -1/720 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))) |
1/12 |
#s(literal 1/12 binary64) |
(+ 1/12 (* -1/720 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) |
(+ 1/12 (* -1/720 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) |
(+ 1/12 (* -1/720 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* 1/2 x) 1)) |
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) |
(* x (- (* 1/2 x) 1)) |
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) |
(* x (- (* 1/2 x) 1)) |
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* 1/2 x)) x) |
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) |
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* 1/2 x) 1)) |
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) |
(* x (- (* x (+ 1/2 (* -1/6 x))) 1)) |
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1)) |
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* 1/2 x)) x) |
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) |
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* 1/2 x) 1)) |
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) |
(* x (- (* x (+ 1/2 (* -1/6 x))) 1)) |
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1)) |
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* 1/2 x) 1)) |
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) |
(* x (- (* x (+ 1/2 (* -1/6 x))) 1)) |
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1)) |
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
-1 |
#s(literal -1 binary64) |
(- (* 1/2 x) 1) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) |
(- (* x (+ 1/2 (* -1/6 x))) 1) |
(fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
-1/6 |
#s(literal -1/6 binary64) |
(- (* 1/24 x) 1/6) |
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) |
(- (* 1/24 x) 1/6) |
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) |
(- (* 1/24 x) 1/6) |
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* 1/2 x)) x) |
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) |
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* 1/2 x) 1)) |
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) |
(* x (- (* x (+ 1/2 (* -1/6 x))) 1)) |
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1)) |
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* 1/2 x) 1)) |
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) |
(* x (- (* x (+ 1/2 (* -1/6 x))) 1)) |
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1)) |
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
-1/6 |
#s(literal -1/6 binary64) |
(- (* 1/24 x) 1/6) |
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) |
(- (* 1/24 x) 1/6) |
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) |
(- (* 1/24 x) 1/6) |
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 (pow x 3)) |
(*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) |
(* 1/24 (pow x 3)) |
(*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) |
(* 1/24 (pow x 3)) |
(*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) |
(* 1/24 (pow x 3)) |
(*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* 1/24 x)) |
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) |
(+ 1/6 (* 1/24 x)) |
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) |
(+ 1/6 (* 1/24 x)) |
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) |
6 |
#s(literal 6 binary64) |
(+ 6 (* -3/2 x)) |
(fma.f64 x #s(literal -3/2 binary64) #s(literal 6 binary64)) |
(+ 6 (* x (- (* 3/8 x) 3/2))) |
(fma.f64 x (fma.f64 x #s(literal 3/8 binary64) #s(literal -3/2 binary64)) #s(literal 6 binary64)) |
(+ 6 (* x (- (* x (+ 3/8 (* -3/32 x))) 3/2))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -3/32 binary64) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)) #s(literal 6 binary64)) |
(* 1/24 (pow x 4)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) |
(* (pow x 4) (- 1/24 (* 1/6 (/ 1 x)))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (+.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 x (*.f64 x x)) x) (-.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))) |
(* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (-.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) x))) |
(/ -1 (- (exp (neg x)) 1)) |
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
(/ -1 (- (exp (neg x)) 1)) |
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
(/ -1 (- (exp (neg x)) 1)) |
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 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 (neg x)) 1) |
(expm1.f64 (neg.f64 x)) |
(- (exp (neg x)) 1) |
(expm1.f64 (neg.f64 x)) |
(- (exp (neg x)) 1) |
(expm1.f64 (neg.f64 x)) |
(* 1/24 (pow x 2)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 x x)) |
(* (pow x 2) (- 1/24 (* 1/6 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) |
(* (pow x 2) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 1/24 binary64) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))) |
(* (pow x 2) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 1/24 binary64) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(* -1/720 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/720 binary64)))) |
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))) |
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720)) |
(*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))))))) |
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720)) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/720 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))))) |
(* -1/720 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/720 binary64)))) |
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))) |
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))) |
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))) |
(* -1/720 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/720 binary64))) |
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) |
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) |
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) |
(* 1/2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
(* (pow x 2) (- 1/2 (/ 1 x))) |
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) |
(* (pow x 2) (- 1/2 (/ 1 x))) |
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) |
(* (pow x 2) (- 1/2 (/ 1 x))) |
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) |
(/ -1 (- (exp (neg x)) 1)) |
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
(/ -1 (- (exp (neg x)) 1)) |
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
(/ -1 (- (exp (neg x)) 1)) |
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 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 (neg x)) 1) |
(expm1.f64 (neg.f64 x)) |
(- (exp (neg x)) 1) |
(expm1.f64 (neg.f64 x)) |
(- (exp (neg x)) 1) |
(expm1.f64 (neg.f64 x)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(/ -1 (- (exp (neg x)) 1)) |
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
(/ -1 (- (exp (neg x)) 1)) |
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
(/ -1 (- (exp (neg x)) 1)) |
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 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 (neg x)) 1) |
(expm1.f64 (neg.f64 x)) |
(- (exp (neg x)) 1) |
(expm1.f64 (neg.f64 x)) |
(- (exp (neg x)) 1) |
(expm1.f64 (neg.f64 x)) |
(* 1/24 (pow x 4)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) |
(* (pow x 4) (- 1/24 (* 1/6 (/ 1 x)))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (+.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 x (*.f64 x x)) x) (-.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))) |
(* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (-.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) x))) |
(* 1/24 (pow x 3)) |
(*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) |
(* (pow x 3) (- 1/24 (* 1/6 (/ 1 x)))) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) |
(* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x)))) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))) |
(* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))) |
(*.f64 x (*.f64 x (*.f64 x (-.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) x))))) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* x (- 1/24 (* 1/6 (/ 1 x)))) |
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) |
(* x (- 1/24 (* 1/6 (/ 1 x)))) |
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) |
(* x (- 1/24 (* 1/6 (/ 1 x)))) |
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) |
(/ -1 (- (exp (neg x)) 1)) |
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
(/ -1 (- (exp (neg x)) 1)) |
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
(/ -1 (- (exp (neg x)) 1)) |
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 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 (neg x)) 1) |
(expm1.f64 (neg.f64 x)) |
(- (exp (neg x)) 1) |
(expm1.f64 (neg.f64 x)) |
(- (exp (neg x)) 1) |
(expm1.f64 (neg.f64 x)) |
(* 1/24 (pow x 4)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) |
(* (pow x 4) (- 1/24 (* 1/6 (/ 1 x)))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (+.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 x (*.f64 x x)) x) (-.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))) |
(* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (-.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) x))) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* x (- 1/24 (* 1/6 (/ 1 x)))) |
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) |
(* x (- 1/24 (* 1/6 (/ 1 x)))) |
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) |
(* x (- 1/24 (* 1/6 (/ 1 x)))) |
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 (pow x 3)) |
(*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) |
(* 1/24 (pow x 3)) |
(*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) |
(* 1/24 (pow x 3)) |
(*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) |
(* 1/24 (pow x 3)) |
(*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* x (+ 1/24 (* 1/6 (/ 1 x)))) |
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) |
(* x (+ 1/24 (* 1/6 (/ 1 x)))) |
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) |
(* x (+ 1/24 (* 1/6 (/ 1 x)))) |
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) |
(/ 24 x) |
(/.f64 #s(literal 24 binary64) x) |
(/ (- 24 (* 96 (/ 1 x))) x) |
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -96 binary64) x)) x) |
(/ (- (+ 24 (/ 384 (pow x 2))) (* 96 (/ 1 x))) x) |
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 (+.f64 (/.f64 #s(literal 384 binary64) x) #s(literal -96 binary64)) x)) x) |
(/ (- (+ 24 (/ 384 (pow x 2))) (+ (* 96 (/ 1 x)) (* 1536 (/ 1 (pow x 3))))) x) |
(/.f64 (+.f64 #s(literal 24 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 384 binary64) (/.f64 #s(literal 1536 binary64) x)) (/.f64 #s(literal -96 binary64) x))) x) |
(* 1/24 (pow x 4)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) |
(* (pow x 4) (- 1/24 (* 1/6 (/ 1 x)))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/6 binary64) x))) |
(* (pow x 4) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x)))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (-.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))) |
(* (pow x 4) (+ 1/24 (* -1 (/ (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x))) x)))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (-.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) x))) |
(/ -1 (- (exp (* -1 x)) 1)) |
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
(/ -1 (- (exp (* -1 x)) 1)) |
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
(/ -1 (- (exp (* -1 x)) 1)) |
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 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)) |
(- (exp (* -1 x)) 1) |
(expm1.f64 (neg.f64 x)) |
(- (exp (* -1 x)) 1) |
(expm1.f64 (neg.f64 x)) |
(- (exp (* -1 x)) 1) |
(expm1.f64 (neg.f64 x)) |
(* 1/24 (pow x 2)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 x x)) |
(* (pow x 2) (- 1/24 (* 1/6 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) |
(* (pow x 2) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x)))) |
(*.f64 x (fma.f64 x #s(literal 1/24 binary64) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))) |
(* (pow x 2) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x)))) |
(*.f64 x (fma.f64 x #s(literal 1/24 binary64) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(* -1/720 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/720 binary64)))) |
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2)))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))) |
(* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2)))))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/720 binary64) (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))) |
(* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2)))))) |
(*.f64 x (fma.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) (*.f64 x (*.f64 x x)))) (*.f64 x (neg.f64 x)) #s(literal 1/12 binary64))) |
(* -1/720 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/720 binary64)))) |
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2)))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))) |
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2)))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))) |
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2)))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))) |
(* -1/720 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/720 binary64))) |
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) |
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) |
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)) |
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) |
(* 1/2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
(* (pow x 2) (- 1/2 (/ 1 x))) |
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) |
(* (pow x 2) (- 1/2 (/ 1 x))) |
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) |
(* (pow x 2) (- 1/2 (/ 1 x))) |
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) |
(/ -1 (- (exp (* -1 x)) 1)) |
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
(/ -1 (- (exp (* -1 x)) 1)) |
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
(/ -1 (- (exp (* -1 x)) 1)) |
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 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)) |
(- (exp (* -1 x)) 1) |
(expm1.f64 (neg.f64 x)) |
(- (exp (* -1 x)) 1) |
(expm1.f64 (neg.f64 x)) |
(- (exp (* -1 x)) 1) |
(expm1.f64 (neg.f64 x)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(/ -1 (- (exp (* -1 x)) 1)) |
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
(/ -1 (- (exp (* -1 x)) 1)) |
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
(/ -1 (- (exp (* -1 x)) 1)) |
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 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)) |
(- (exp (* -1 x)) 1) |
(expm1.f64 (neg.f64 x)) |
(- (exp (* -1 x)) 1) |
(expm1.f64 (neg.f64 x)) |
(- (exp (* -1 x)) 1) |
(expm1.f64 (neg.f64 x)) |
(* 1/24 (pow x 4)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) |
(* (pow x 4) (- 1/24 (* 1/6 (/ 1 x)))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/6 binary64) x))) |
(* (pow x 4) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x)))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (-.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))) |
(* (pow x 4) (+ 1/24 (* -1 (/ (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x))) x)))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (-.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) x))) |
(* 1/24 (pow x 3)) |
(*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) |
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24))) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/6) x)) 1/24))) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6) x)) 1/24))) |
(*.f64 x (*.f64 x (*.f64 x (-.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) x))))) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24))) |
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) |
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24))) |
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) |
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24))) |
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) |
(/ -1 (- (exp (* -1 x)) 1)) |
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
(/ -1 (- (exp (* -1 x)) 1)) |
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
(/ -1 (- (exp (* -1 x)) 1)) |
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 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)) |
(- (exp (* -1 x)) 1) |
(expm1.f64 (neg.f64 x)) |
(- (exp (* -1 x)) 1) |
(expm1.f64 (neg.f64 x)) |
(- (exp (* -1 x)) 1) |
(expm1.f64 (neg.f64 x)) |
(* 1/24 (pow x 4)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) |
(* (pow x 4) (- 1/24 (* 1/6 (/ 1 x)))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/6 binary64) x))) |
(* (pow x 4) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x)))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (-.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))) |
(* (pow x 4) (+ 1/24 (* -1 (/ (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x))) x)))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (-.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) x))) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24))) |
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) |
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24))) |
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) |
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24))) |
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 (pow x 3)) |
(*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) |
(* 1/24 (pow x 3)) |
(*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) |
(* 1/24 (pow x 3)) |
(*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) |
(* 1/24 (pow x 3)) |
(*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* x (+ 1/24 (* 1/6 (/ 1 x)))) |
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) |
(* x (+ 1/24 (* 1/6 (/ 1 x)))) |
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) |
(* x (+ 1/24 (* 1/6 (/ 1 x)))) |
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) |
(/ 24 x) |
(/.f64 #s(literal 24 binary64) x) |
(* -1 (/ (- (* 96 (/ 1 x)) 24) x)) |
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -96 binary64) x)) x) |
(* -1 (/ (- (* -1 (/ (- (* 384 (/ 1 x)) 96) x)) 24) x)) |
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 (+.f64 (/.f64 #s(literal 384 binary64) x) #s(literal -96 binary64)) x)) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1536 (/ 1 x)) 384) x)) 96) x)) 24) x)) |
(/.f64 (-.f64 #s(literal 24 binary64) (/.f64 (+.f64 #s(literal 96 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1536 binary64) x) #s(literal -384 binary64)) x)) x)) x) |
| 4 110× | lower-*.f32 |
| 4 096× | lower-*.f64 |
| 3 384× | lower-/.f32 |
| 3 376× | lower-/.f64 |
| 3 264× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 392 |
| 0 | 89 | 373 |
| 1 | 396 | 339 |
| 2 | 3057 | 339 |
| 0 | 8112 | 313 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x)) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x)))) |
#s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x))) |
(fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) (+ (* x (+ (* -1/720 (* x x)) 1/12)) 1/2)) (*.f64 x #s(approx (+ (* x (* x -1/720)) 1/12) #s(literal 1/12 binary64))))) |
#s(approx (+ (/ 1 x) (+ (* x (+ (* -1/720 (* x x)) 1/12)) 1/2)) (*.f64 x #s(approx (+ (* x (* x -1/720)) 1/12) #s(literal 1/12 binary64)))) |
(*.f64 x #s(approx (+ (* x (* x -1/720)) 1/12) #s(literal 1/12 binary64))) |
#s(approx (+ (* x (* x -1/720)) 1/12) #s(literal 1/12 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (neg.f64 x)) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (neg.f64 x)))) |
#s(approx (- (exp (neg x)) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (neg.f64 x))) |
(*.f64 x x) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/24 binary64))))))) |
#s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/24 binary64)))))) |
(*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/24 binary64))))) |
#s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/24 binary64)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
#s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) |
(*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) |
(neg.f64 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal 1/24 binary64))) |
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) |
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) |
| Outputs |
|---|
(+.f64 (neg.f64 x) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x))) |
(+.f64 (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)) (neg.f64 x)) |
(-.f64 (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)) x) |
(-.f64 #s(literal 0 binary64) (-.f64 x (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)))) |
(-.f64 (/.f64 (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)))) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (/.f64 (*.f64 x x) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
(-.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 0 binary64)) x) |
(fma.f64 x #s(literal -1 binary64) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x))) |
(fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 x)) |
(fma.f64 x (log.f64 (exp.f64 #s(literal -1 binary64))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x))) |
(fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x)) |
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (neg.f64 x)) |
(fma.f64 #s(literal -1 binary64) x (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x))) |
(fma.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) x (neg.f64 x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x))))) (fma.f64 (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)))) (neg.f64 (*.f64 x (*.f64 x x))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x))))) (fma.f64 (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)))) (neg.f64 (*.f64 x (*.f64 x x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))) |
(/.f64 (fma.f64 (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)))) (neg.f64 (*.f64 x (*.f64 x x)))) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)))))) |
(/.f64 (fma.f64 (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)))) (neg.f64 (*.f64 x (*.f64 x x)))) (fma.f64 x x (-.f64 (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (neg.f64 (*.f64 x (*.f64 x x))))))) |
(/.f64 (*.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) x)) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)))) (neg.f64 (*.f64 x (*.f64 x x))))) (neg.f64 (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x))))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)))) (neg.f64 (*.f64 x (*.f64 x x))))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (neg.f64 (*.f64 x (*.f64 x x)))))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (neg.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (neg.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x))))) (*.f64 x (*.f64 x x))) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x))) (fma.f64 x x (*.f64 (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)) x)))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x))))) (-.f64 (neg.f64 x) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)))) |
(/.f64 (*.f64 x (fma.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x))) #s(literal -1 binary64))) (-.f64 (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (neg.f64 x)))) |
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(-.f64 #s(literal 0 binary64) x) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (exp.f64 x)))) |
(fma.f64 x #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 x (log.f64 (exp.f64 #s(literal -1 binary64))) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) x #s(literal 0 binary64)) |
(neg.f64 x) |
(neg.f64 (log.f64 (/.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) x) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (neg.f64 x)) |
(*.f64 x #s(literal -1 binary64)) |
(*.f64 x (log.f64 (exp.f64 #s(literal -1 binary64)))) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 x #s(literal 1/24 binary64)) |
(*.f64 #s(literal 1/24 binary64) x) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) |
(*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal 1/24 binary64))) |
(*.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) x) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/24 binary64)) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal -1 binary64)))) |
(+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) |
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))) |
(-.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) |
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) |
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)))) |
(/.f64 #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 (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 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal -1 binary64)) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64))))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) (*.f64 x #s(literal 1/144 binary64))))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64))) (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64))) (neg.f64 (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) (*.f64 x #s(literal 1/144 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64))) (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64))))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64))) (neg.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)) #s(literal -1/216 binary64)) (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) (+.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal -1/144 binary64))))) |
(/.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)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))) (*.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/36 binary64))) (*.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)) #s(literal -1/216 binary64))) (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) (+.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal -1/144 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)))) (neg.f64 (neg.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal 1/576 binary64)))) (neg.f64 (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) |
(pow.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #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)) |
(pow.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.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))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) |
(*.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64)))))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))))) |
(pow.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 (neg.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 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (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 -1/2 binary64)) (pow.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64))) (fma.f64 x (*.f64 x #s(literal 1/576 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64) #s(literal 1/216 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 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 #s(literal 1 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 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 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))) |
Compiled 24 869 to 2 182 computations (91.2% saved)
34 alts after pruning (20 fresh and 14 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 950 | 8 | 958 |
| Fresh | 11 | 12 | 23 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 10 | 10 |
| Total | 962 | 34 | 996 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 37.0% | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| ✓ | 100.0% | (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
| ✓ | 89.3% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x)))) |
| 87.8% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x #s(approx (+ (* x 1/24) -1/6) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x)))) | |
| ✓ | 81.0% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (neg.f64 x)))) |
| 24.6% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) x))) | |
| ✓ | 89.3% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
| 95.7% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(approx (/ 1 (+ (* x 1/24) 1/6)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -3/32 binary64) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)) #s(literal 6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) | |
| 95.4% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(approx (/ 1 (+ (* x 1/24) 1/6)) (fma.f64 x (fma.f64 x #s(literal 3/8 binary64) #s(literal -3/2 binary64)) #s(literal 6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) | |
| 94.7% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(approx (/ 1 (+ (* x 1/24) 1/6)) (fma.f64 x #s(literal -3/2 binary64) #s(literal 6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) | |
| 92.3% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(approx (/ 1 (+ (* x 1/24) 1/6)) #s(literal 6 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) | |
| ✓ | 87.8% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
| ✓ | 81.0% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))) |
| 26.9% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))))) | |
| ✓ | 24.6% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/24 binary64))))))) |
| 24.9% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))))))) | |
| 26.9% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))))))) | |
| 23.6% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))))))) | |
| 25.6% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))))) | |
| 17.0% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x 1/2) -1) (*.f64 x #s(literal 1/2 binary64)))))) | |
| 24.6% | (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (+ (* (+ (* x (+ (* x 1/24) -1/6)) 1/2) (* x x)) (neg x)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))))) | |
| 67.6% | (*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (-.f64 (neg.f64 x) x))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))) | |
| 19.3% | #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x)))) (*.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))))) | |
| 67.5% | #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) | |
| 67.4% | #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)) | |
| ✓ | 67.5% | #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) |
| ✓ | 67.5% | #s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)))) |
| ✓ | 67.2% | #s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) |
| 67.5% | #s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/12 binary64))))) | |
| 67.4% | #s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) #s(approx (+ (* x 1/12) (/ 1 x)) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) x)))) | |
| ✓ | 3.0% | #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) (+ (* x (+ (* -1/720 (* x x)) 1/12)) 1/2)) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))))) |
| ✓ | 3.2% | #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) (+ (* x (+ (* -1/720 (* x x)) 1/12)) 1/2)) (*.f64 x #s(approx (+ (* x (* x -1/720)) 1/12) #s(literal 1/12 binary64))))) |
| ✓ | 3.2% | #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))) |
| 3.0% | #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (+ (* x 1/12) (/ 1 x))) (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))) |
Compiled 1 247 to 494 computations (60.4% saved)
| Inputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (+ (* x 1/12) (/ 1 x))) (*.f64 x #s(literal 1/12 binary64)))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) (+ (* x (+ (* -1/720 (* x x)) 1/12)) 1/2)) (*.f64 x #s(approx (+ (* x (* x -1/720)) 1/12) #s(literal 1/12 binary64))))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (+ (* x 1/12) (/ 1 x))) (fma.f64 x #s(literal 1/12 binary64) #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 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) (+ (* x (+ (* -1/720 (* x x)) 1/12)) 1/2)) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))))) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x 1/2) -1) (*.f64 x #s(literal 1/2 binary64)))))) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/12 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (neg.f64 x)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) #s(approx (+ (* x 1/12) (/ 1 x)) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) x)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x #s(approx (+ (* x 1/24) -1/6) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (+ (* (+ (* x (+ (* x 1/24) -1/6)) 1/2) (* x x)) (neg x)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/24 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) x))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(approx (+ (* x (+ (* x 1/24) -1/6)) 1/2) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(approx (/ 1 (+ (* x 1/24) 1/6)) #s(literal 6 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(approx (/ 1 (+ (* x 1/24) 1/6)) (fma.f64 x #s(literal -3/2 binary64) #s(literal 6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(approx (/ 1 (+ (* x 1/24) 1/6)) (fma.f64 x (fma.f64 x #s(literal 3/8 binary64) #s(literal -3/2 binary64)) #s(literal 6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (/.f64 (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))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (/.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)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(approx (/ 1 (+ (* x 1/24) 1/6)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -3/32 binary64) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)) #s(literal 6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (/.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) x) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (/.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) #s(literal -1/4 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 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))))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (/.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)) x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x)))) (*.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (*.f64 (fma.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))) (*.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))))) (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))) (neg.f64 x))))) |
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (-.f64 (neg.f64 x) x))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))) |
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x))) (expm1.f64 (+.f64 x x))) |
| Outputs |
|---|
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
3 calls:
| 13.0ms | x |
| 13.0ms | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 11.0ms | (exp.f64 x) |
| 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 13 to 8 computations (38.5% saved)
| Inputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (+ (* x 1/12) (/ 1 x))) (*.f64 x #s(literal 1/12 binary64)))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) (+ (* x (+ (* -1/720 (* x x)) 1/12)) 1/2)) (*.f64 x #s(approx (+ (* x (* x -1/720)) 1/12) #s(literal 1/12 binary64))))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (+ (* x 1/12) (/ 1 x))) (fma.f64 x #s(literal 1/12 binary64) #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 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) (+ (* x (+ (* -1/720 (* x x)) 1/12)) 1/2)) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))))) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x 1/2) -1) (*.f64 x #s(literal 1/2 binary64)))))) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/12 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (neg.f64 x)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) #s(approx (+ (* x 1/12) (/ 1 x)) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) x)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x #s(approx (+ (* x 1/24) -1/6) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (+ (* (+ (* x (+ (* x 1/24) -1/6)) 1/2) (* x x)) (neg x)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/24 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) x))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(approx (+ (* x (+ (* x 1/24) -1/6)) 1/2) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(approx (/ 1 (+ (* x 1/24) 1/6)) #s(literal 6 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(approx (/ 1 (+ (* x 1/24) 1/6)) (fma.f64 x #s(literal -3/2 binary64) #s(literal 6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(approx (/ 1 (+ (* x 1/24) 1/6)) (fma.f64 x (fma.f64 x #s(literal 3/8 binary64) #s(literal -3/2 binary64)) #s(literal 6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (/.f64 (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))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (/.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)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(approx (/ 1 (+ (* x 1/24) 1/6)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -3/32 binary64) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)) #s(literal 6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (/.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) x) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (/.f64 (fma.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))) #s(literal -1/4 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 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))))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (/.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)) x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x)))) (*.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (*.f64 (fma.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))) (*.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))))) (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))) (neg.f64 x))))) |
| Outputs |
|---|
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(approx (/ 1 (+ (* x 1/24) 1/6)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -3/32 binary64) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)) #s(literal 6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
3 calls:
| 17.0ms | x |
| 11.0ms | (exp.f64 x) |
| 10.0ms | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.7% | 1 | x |
| 95.7% | 1 | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 95.7% | 1 | (exp.f64 x) |
Compiled 13 to 8 computations (38.5% saved)
| Inputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (+ (* x 1/12) (/ 1 x))) (*.f64 x #s(literal 1/12 binary64)))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) (+ (* x (+ (* -1/720 (* x x)) 1/12)) 1/2)) (*.f64 x #s(approx (+ (* x (* x -1/720)) 1/12) #s(literal 1/12 binary64))))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (+ (* x 1/12) (/ 1 x))) (fma.f64 x #s(literal 1/12 binary64) #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 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) (+ (* x (+ (* -1/720 (* x x)) 1/12)) 1/2)) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))))) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x 1/2) -1) (*.f64 x #s(literal 1/2 binary64)))))) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/12 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (neg.f64 x)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) #s(approx (+ (* x 1/12) (/ 1 x)) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) x)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x #s(approx (+ (* x 1/24) -1/6) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (+ (* (+ (* x (+ (* x 1/24) -1/6)) 1/2) (* x x)) (neg x)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/24 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) x))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(approx (+ (* x (+ (* x 1/24) -1/6)) 1/2) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(approx (/ 1 (+ (* x 1/24) 1/6)) #s(literal 6 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(approx (/ 1 (+ (* x 1/24) 1/6)) (fma.f64 x #s(literal -3/2 binary64) #s(literal 6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(approx (/ 1 (+ (* x 1/24) 1/6)) (fma.f64 x (fma.f64 x #s(literal 3/8 binary64) #s(literal -3/2 binary64)) #s(literal 6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (/.f64 (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))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (/.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)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
| Outputs |
|---|
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(approx (/ 1 (+ (* x 1/24) 1/6)) (fma.f64 x (fma.f64 x #s(literal 3/8 binary64) #s(literal -3/2 binary64)) #s(literal 6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
3 calls:
| 10.0ms | x |
| 8.0ms | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 8.0ms | (exp.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.4% | 1 | x |
| 95.4% | 1 | (exp.f64 x) |
| 95.4% | 1 | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
Compiled 13 to 8 computations (38.5% saved)
| Inputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (+ (* x 1/12) (/ 1 x))) (*.f64 x #s(literal 1/12 binary64)))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) (+ (* x (+ (* -1/720 (* x x)) 1/12)) 1/2)) (*.f64 x #s(approx (+ (* x (* x -1/720)) 1/12) #s(literal 1/12 binary64))))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (+ (* x 1/12) (/ 1 x))) (fma.f64 x #s(literal 1/12 binary64) #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 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) (+ (* x (+ (* -1/720 (* x x)) 1/12)) 1/2)) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))))) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x 1/2) -1) (*.f64 x #s(literal 1/2 binary64)))))) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/12 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (neg.f64 x)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) #s(approx (+ (* x 1/12) (/ 1 x)) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) x)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x #s(approx (+ (* x 1/24) -1/6) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (+ (* (+ (* x (+ (* x 1/24) -1/6)) 1/2) (* x x)) (neg x)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/24 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) x))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(approx (+ (* x (+ (* x 1/24) -1/6)) 1/2) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(approx (/ 1 (+ (* x 1/24) 1/6)) #s(literal 6 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(approx (/ 1 (+ (* x 1/24) 1/6)) (fma.f64 x #s(literal -3/2 binary64) #s(literal 6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
| Outputs |
|---|
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(approx (/ 1 (+ (* x 1/24) 1/6)) (fma.f64 x #s(literal -3/2 binary64) #s(literal 6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
3 calls:
| 9.0ms | x |
| 7.0ms | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 7.0ms | (exp.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.7% | 1 | (exp.f64 x) |
| 94.7% | 1 | x |
| 94.7% | 1 | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
Compiled 13 to 8 computations (38.5% saved)
| Inputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (+ (* x 1/12) (/ 1 x))) (*.f64 x #s(literal 1/12 binary64)))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) (+ (* x (+ (* -1/720 (* x x)) 1/12)) 1/2)) (*.f64 x #s(approx (+ (* x (* x -1/720)) 1/12) #s(literal 1/12 binary64))))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (+ (* x 1/12) (/ 1 x))) (fma.f64 x #s(literal 1/12 binary64) #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 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) (+ (* x (+ (* -1/720 (* x x)) 1/12)) 1/2)) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))))) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x 1/2) -1) (*.f64 x #s(literal 1/2 binary64)))))) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/12 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (neg.f64 x)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) #s(approx (+ (* x 1/12) (/ 1 x)) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) x)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x #s(approx (+ (* x 1/24) -1/6) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (+ (* (+ (* x (+ (* x 1/24) -1/6)) 1/2) (* x x)) (neg x)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/24 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) x))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(approx (+ (* x (+ (* x 1/24) -1/6)) 1/2) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(approx (/ 1 (+ (* x 1/24) 1/6)) #s(literal 6 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
| Outputs |
|---|
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(approx (/ 1 (+ (* x 1/24) 1/6)) #s(literal 6 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
3 calls:
| 9.0ms | x |
| 7.0ms | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 7.0ms | (exp.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.3% | 1 | x |
| 92.3% | 1 | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 92.3% | 1 | (exp.f64 x) |
Compiled 13 to 8 computations (38.5% saved)
| Inputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (+ (* x 1/12) (/ 1 x))) (*.f64 x #s(literal 1/12 binary64)))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) (+ (* x (+ (* -1/720 (* x x)) 1/12)) 1/2)) (*.f64 x #s(approx (+ (* x (* x -1/720)) 1/12) #s(literal 1/12 binary64))))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (+ (* x 1/12) (/ 1 x))) (fma.f64 x #s(literal 1/12 binary64) #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 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) (+ (* x (+ (* -1/720 (* x x)) 1/12)) 1/2)) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))))) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x 1/2) -1) (*.f64 x #s(literal 1/2 binary64)))))) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/12 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (neg.f64 x)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) #s(approx (+ (* x 1/12) (/ 1 x)) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) x)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x #s(approx (+ (* x 1/24) -1/6) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (+ (* (+ (* x (+ (* x 1/24) -1/6)) 1/2) (* x x)) (neg x)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/24 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) x))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(approx (+ (* x (+ (* x 1/24) -1/6)) 1/2) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x)))) |
| Outputs |
|---|
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x)))) |
3 calls:
| 9.0ms | x |
| 7.0ms | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 7.0ms | (exp.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.3% | 1 | (exp.f64 x) |
| 89.3% | 1 | x |
| 89.3% | 1 | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
Compiled 13 to 8 computations (38.5% saved)
| Inputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (+ (* x 1/12) (/ 1 x))) (*.f64 x #s(literal 1/12 binary64)))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) (+ (* x (+ (* -1/720 (* x x)) 1/12)) 1/2)) (*.f64 x #s(approx (+ (* x (* x -1/720)) 1/12) #s(literal 1/12 binary64))))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (+ (* x 1/12) (/ 1 x))) (fma.f64 x #s(literal 1/12 binary64) #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 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) (+ (* x (+ (* -1/720 (* x x)) 1/12)) 1/2)) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))))) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x 1/2) -1) (*.f64 x #s(literal 1/2 binary64)))))) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/12 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (neg.f64 x)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) #s(approx (+ (* x 1/12) (/ 1 x)) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) x)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x #s(approx (+ (* x 1/24) -1/6) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (+ (* (+ (* x (+ (* x 1/24) -1/6)) 1/2) (* x x)) (neg x)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/24 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) x))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(approx (+ (* x (+ (* x 1/24) -1/6)) 1/2) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
| Outputs |
|---|
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
3 calls:
| 11.0ms | (exp.f64 x) |
| 9.0ms | x |
| 7.0ms | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.3% | 1 | x |
| 89.3% | 1 | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 89.3% | 1 | (exp.f64 x) |
Compiled 13 to 8 computations (38.5% saved)
| Inputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (+ (* x 1/12) (/ 1 x))) (*.f64 x #s(literal 1/12 binary64)))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) (+ (* x (+ (* -1/720 (* x x)) 1/12)) 1/2)) (*.f64 x #s(approx (+ (* x (* x -1/720)) 1/12) #s(literal 1/12 binary64))))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (+ (* x 1/12) (/ 1 x))) (fma.f64 x #s(literal 1/12 binary64) #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 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) (+ (* x (+ (* -1/720 (* x x)) 1/12)) 1/2)) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))))) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x 1/2) -1) (*.f64 x #s(literal 1/2 binary64)))))) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/12 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (neg.f64 x)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) #s(approx (+ (* x 1/12) (/ 1 x)) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) x)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x #s(approx (+ (* x 1/24) -1/6) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (+ (* (+ (* x (+ (* x 1/24) -1/6)) 1/2) (* x x)) (neg x)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/24 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) x))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(approx (+ (* x (+ (* x 1/24) -1/6)) 1/2) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))))))) |
| Outputs |
|---|
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(approx (+ (* x (+ (* x 1/24) -1/6)) 1/2) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) #s(literal -1 binary64))))) |
3 calls:
| 9.0ms | (exp.f64 x) |
| 8.0ms | x |
| 7.0ms | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.4% | 1 | x |
| 88.4% | 1 | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 88.4% | 1 | (exp.f64 x) |
Compiled 13 to 8 computations (38.5% saved)
| Inputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (+ (* x 1/12) (/ 1 x))) (*.f64 x #s(literal 1/12 binary64)))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) (+ (* x (+ (* -1/720 (* x x)) 1/12)) 1/2)) (*.f64 x #s(approx (+ (* x (* x -1/720)) 1/12) #s(literal 1/12 binary64))))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (+ (* x 1/12) (/ 1 x))) (fma.f64 x #s(literal 1/12 binary64) #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 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) (+ (* x (+ (* -1/720 (* x x)) 1/12)) 1/2)) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))))) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x 1/2) -1) (*.f64 x #s(literal 1/2 binary64)))))) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/12 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (neg.f64 x)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) #s(approx (+ (* x 1/12) (/ 1 x)) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) x)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x #s(approx (+ (* x 1/24) -1/6) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (+ (* (+ (* x (+ (* x 1/24) -1/6)) 1/2) (* x x)) (neg x)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/24 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) x))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64))))))) |
| Outputs |
|---|
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))))))) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)))) |
3 calls:
| 8.0ms | (exp.f64 x) |
| 8.0ms | x |
| 6.0ms | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.5% | 2 | x |
| 87.8% | 1 | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 89.5% | 2 | (exp.f64 x) |
Compiled 13 to 8 computations (38.5% saved)
| Inputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (+ (* x 1/12) (/ 1 x))) (*.f64 x #s(literal 1/12 binary64)))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) (+ (* x (+ (* -1/720 (* x x)) 1/12)) 1/2)) (*.f64 x #s(approx (+ (* x (* x -1/720)) 1/12) #s(literal 1/12 binary64))))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (+ (* x 1/12) (/ 1 x))) (fma.f64 x #s(literal 1/12 binary64) #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 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) (+ (* x (+ (* -1/720 (* x x)) 1/12)) 1/2)) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))))) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x 1/2) -1) (*.f64 x #s(literal 1/2 binary64)))))) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/12 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (neg.f64 x)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) #s(approx (+ (* x 1/12) (/ 1 x)) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) x)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x #s(approx (+ (* x 1/24) -1/6) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (+ (* (+ (* x (+ (* x 1/24) -1/6)) 1/2) (* x x)) (neg x)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/24 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) x))) |
| Outputs |
|---|
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))))) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)))) |
2 calls:
| 13.0ms | x |
| 6.0ms | (exp.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.5% | 2 | x |
| 89.5% | 2 | (exp.f64 x) |
Compiled 5 to 3 computations (40% saved)
| Inputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (+ (* x 1/12) (/ 1 x))) (*.f64 x #s(literal 1/12 binary64)))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) (+ (* x (+ (* -1/720 (* x x)) 1/12)) 1/2)) (*.f64 x #s(approx (+ (* x (* x -1/720)) 1/12) #s(literal 1/12 binary64))))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (+ (* x 1/12) (/ 1 x))) (fma.f64 x #s(literal 1/12 binary64) #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 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) (+ (* x (+ (* -1/720 (* x x)) 1/12)) 1/2)) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))))) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x 1/2) -1) (*.f64 x #s(literal 1/2 binary64)))))) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/12 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (neg.f64 x)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) #s(approx (+ (* x 1/12) (/ 1 x)) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) x)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x #s(approx (+ (* x 1/24) -1/6) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)))) |
| Outputs |
|---|
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x)))) |
2 calls:
| 6.0ms | x |
| 5.0ms | (exp.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.8% | 1 | x |
| 87.8% | 1 | (exp.f64 x) |
Compiled 5 to 3 computations (40% saved)
| Inputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (+ (* x 1/12) (/ 1 x))) (*.f64 x #s(literal 1/12 binary64)))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) (+ (* x (+ (* -1/720 (* x x)) 1/12)) 1/2)) (*.f64 x #s(approx (+ (* x (* x -1/720)) 1/12) #s(literal 1/12 binary64))))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (+ (* x 1/12) (/ 1 x))) (fma.f64 x #s(literal 1/12 binary64) #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 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) (+ (* x (+ (* -1/720 (* x x)) 1/12)) 1/2)) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))))) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x 1/2) -1) (*.f64 x #s(literal 1/2 binary64)))))) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/12 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (neg.f64 x)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) #s(approx (+ (* x 1/12) (/ 1 x)) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) x)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
| Outputs |
|---|
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
3 calls:
| 6.0ms | x |
| 4.0ms | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 4.0ms | (exp.f64 x) |
| 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 13 to 8 computations (38.5% saved)
| Inputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (+ (* x 1/12) (/ 1 x))) (*.f64 x #s(literal 1/12 binary64)))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) (+ (* x (+ (* -1/720 (* x x)) 1/12)) 1/2)) (*.f64 x #s(approx (+ (* x (* x -1/720)) 1/12) #s(literal 1/12 binary64))))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (+ (* x 1/12) (/ 1 x))) (fma.f64 x #s(literal 1/12 binary64) #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 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) (+ (* x (+ (* -1/720 (* x x)) 1/12)) 1/2)) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))))) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x 1/2) -1) (*.f64 x #s(literal 1/2 binary64)))))) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/12 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (neg.f64 x)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) #s(approx (+ (* x 1/12) (/ 1 x)) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) x)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))))))) |
| Outputs |
|---|
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))))))) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) #s(approx (+ (* x 1/12) (/ 1 x)) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) x)))) |
3 calls:
| 34.0ms | (exp.f64 x) |
| 5.0ms | x |
| 4.0ms | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.1% | 2 | x |
| 87.3% | 2 | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 88.1% | 2 | (exp.f64 x) |
Compiled 13 to 8 computations (38.5% saved)
| Inputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (+ (* x 1/12) (/ 1 x))) (*.f64 x #s(literal 1/12 binary64)))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) (+ (* x (+ (* -1/720 (* x x)) 1/12)) 1/2)) (*.f64 x #s(approx (+ (* x (* x -1/720)) 1/12) #s(literal 1/12 binary64))))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (+ (* x 1/12) (/ 1 x))) (fma.f64 x #s(literal 1/12 binary64) #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 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) (+ (* x (+ (* -1/720 (* x x)) 1/12)) 1/2)) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))))) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x 1/2) -1) (*.f64 x #s(literal 1/2 binary64)))))) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/12 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (neg.f64 x)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) #s(approx (+ (* x 1/12) (/ 1 x)) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) x)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))))) |
| Outputs |
|---|
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))))) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) #s(approx (+ (* x 1/12) (/ 1 x)) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) x)))) |
2 calls:
| 5.0ms | x |
| 4.0ms | (exp.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.1% | 2 | (exp.f64 x) |
| 88.1% | 2 | x |
Compiled 5 to 3 computations (40% saved)
| Inputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (+ (* x 1/12) (/ 1 x))) (*.f64 x #s(literal 1/12 binary64)))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) (+ (* x (+ (* -1/720 (* x x)) 1/12)) 1/2)) (*.f64 x #s(approx (+ (* x (* x -1/720)) 1/12) #s(literal 1/12 binary64))))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (+ (* x 1/12) (/ 1 x))) (fma.f64 x #s(literal 1/12 binary64) #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 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) (+ (* x (+ (* -1/720 (* x x)) 1/12)) 1/2)) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))))) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x 1/2) -1) (*.f64 x #s(literal 1/2 binary64)))))) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/12 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (neg.f64 x)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) #s(approx (+ (* x 1/12) (/ 1 x)) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) x)))) |
| Outputs |
|---|
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (neg.f64 x)))) |
3 calls:
| 5.0ms | x |
| 4.0ms | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 4.0ms | (exp.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.0% | 1 | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 81.0% | 1 | (exp.f64 x) |
| 81.0% | 1 | x |
Compiled 13 to 8 computations (38.5% saved)
| Inputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (+ (* x 1/12) (/ 1 x))) (*.f64 x #s(literal 1/12 binary64)))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) (+ (* x (+ (* -1/720 (* x x)) 1/12)) 1/2)) (*.f64 x #s(approx (+ (* x (* x -1/720)) 1/12) #s(literal 1/12 binary64))))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (+ (* x 1/12) (/ 1 x))) (fma.f64 x #s(literal 1/12 binary64) #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 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) (+ (* x (+ (* -1/720 (* x x)) 1/12)) 1/2)) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))))) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x 1/2) -1) (*.f64 x #s(literal 1/2 binary64)))))) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/12 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)) |
| Outputs |
|---|
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))) |
3 calls:
| 6.0ms | x |
| 3.0ms | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 3.0ms | (exp.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.0% | 1 | (exp.f64 x) |
| 81.0% | 1 | x |
| 81.0% | 1 | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
Compiled 13 to 8 computations (38.5% saved)
| Inputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (+ (* x 1/12) (/ 1 x))) (*.f64 x #s(literal 1/12 binary64)))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) (+ (* x (+ (* -1/720 (* x x)) 1/12)) 1/2)) (*.f64 x #s(approx (+ (* x (* x -1/720)) 1/12) #s(literal 1/12 binary64))))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (+ (* x 1/12) (/ 1 x))) (fma.f64 x #s(literal 1/12 binary64) #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 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) (+ (* x (+ (* -1/720 (* x x)) 1/12)) 1/2)) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))))) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x 1/2) -1) (*.f64 x #s(literal 1/2 binary64)))))) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/12 binary64))))) |
| Outputs |
|---|
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x 1/2) -1) (*.f64 x #s(literal 1/2 binary64)))))) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x)))) |
3 calls:
| 4.0ms | x |
| 3.0ms | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 3.0ms | (exp.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.5% | 2 | (exp.f64 x) |
| 81.5% | 2 | x |
| 80.7% | 2 | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
Compiled 13 to 8 computations (38.5% saved)
| Inputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (+ (* x 1/12) (/ 1 x))) (*.f64 x #s(literal 1/12 binary64)))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) (+ (* x (+ (* -1/720 (* x x)) 1/12)) 1/2)) (*.f64 x #s(approx (+ (* x (* x -1/720)) 1/12) #s(literal 1/12 binary64))))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (+ (* x 1/12) (/ 1 x))) (fma.f64 x #s(literal 1/12 binary64) #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 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) (+ (* x (+ (* -1/720 (* x x)) 1/12)) 1/2)) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/12 binary64))))) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 x #s(literal 1/12 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) |
| Outputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) |
3 calls:
| 5.0ms | (exp.f64 x) |
| 3.0ms | x |
| 3.0ms | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.5% | 1 | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 67.5% | 1 | (exp.f64 x) |
| 67.5% | 1 | x |
Compiled 13 to 8 computations (38.5% saved)
Total -0.6b remaining (-0.9%)
Threshold costs -0.6b (-0.9%)
| Inputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (+ (* x 1/12) (/ 1 x))) (*.f64 x #s(literal 1/12 binary64)))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) (+ (* x (+ (* -1/720 (* x x)) 1/12)) 1/2)) (*.f64 x #s(approx (+ (* x (* x -1/720)) 1/12) #s(literal 1/12 binary64))))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (+ (* x 1/12) (/ 1 x))) (fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)))) |
| Outputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (/ 1 x) 1/2) #s(literal 1/2 binary64))) |
3 calls:
| 2.0ms | x |
| 2.0ms | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 2.0ms | (exp.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 3.2% | 1 | x |
| 3.2% | 1 | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 3.2% | 1 | (exp.f64 x) |
Compiled 13 to 8 computations (38.5% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.024765263202552255 | 0.6881728928513443 |
Compiled 10 to 9 computations (10% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 0.024765263202552255 |
Compiled 10 to 9 computations (10% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 8.0ms | -3.6983132849930724 | -0.3737151748697369 |
| 4.0ms | 96× | 0 | valid |
Compiled 179 to 116 computations (35.2% saved)
ival-div: 1.0ms (35.8% of total)ival-exp: 1.0ms (35.8% of total)ival-expm1: 1.0ms (35.8% 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 |
|---|---|---|
| 12.0ms | -752.6255919055611 | -3.6983132849930724 |
| 7.0ms | 112× | 0 | valid |
Compiled 200 to 127 computations (36.5% saved)
ival-div: 3.0ms (54.6% of total)ival-exp: 1.0ms (18.2% of total)ival-expm1: 1.0ms (18.2% 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 |
|---|---|---|
| 3.0ms | -752.6255919055611 | -3.6983132849930724 |
| 1.0ms | 32× | 0 | valid |
Compiled 165 to 113 computations (31.5% 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× | egg-herbie |
| 58× | *-commutative_binary64 |
| 8× | +-commutative_binary64 |
| 2× | sub-neg_binary64 |
| 2× | 1-exp_binary64 |
| 2× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 171 | 577 |
| 1 | 206 | 577 |
| 2 | 208 | 577 |
| 3 | 209 | 577 |
| 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 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(approx (/ 1 (+ (* x 1/24) 1/6)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -3/32 binary64) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)) #s(literal 6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(approx (/ 1 (+ (* x 1/24) 1/6)) (fma.f64 x (fma.f64 x #s(literal 3/8 binary64) #s(literal -3/2 binary64)) #s(literal 6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(approx (/ 1 (+ (* x 1/24) 1/6)) (fma.f64 x #s(literal -3/2 binary64) #s(literal 6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(approx (/ 1 (+ (* x 1/24) 1/6)) #s(literal 6 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(approx (+ (* x (+ (* x 1/24) -1/6)) 1/2) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) #s(literal -1 binary64))))) |
(if (<=.f64 (exp.f64 x) #s(literal 5764607523034235/144115188075855872 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))))))) #s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))))) |
(if (<=.f64 (exp.f64 x) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))))) #s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(if (<=.f64 x #s(literal -7656119366529843/2251799813685248 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))))))) #s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) #s(approx (+ (* x 1/12) (/ 1 x)) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) x))))) |
(if (<=.f64 x #s(literal -4728779608739021/1125899906842624 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))))) #s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) #s(approx (+ (* x 1/12) (/ 1 x)) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) x))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (neg.f64 x)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))) |
(if (<=.f64 x #s(literal -9/2 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x 1/2) -1) (*.f64 x #s(literal 1/2 binary64)))))) #s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/12 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 x) 1/2) #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 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(approx (/ 1 (+ (* x 1/24) 1/6)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -3/32 binary64) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)) #s(literal 6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(approx (/ 1 (+ (* x 1/24) 1/6)) (fma.f64 x (fma.f64 x #s(literal 3/8 binary64) #s(literal -3/2 binary64)) #s(literal 6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(approx (/ 1 (+ (* x 1/24) 1/6)) (fma.f64 x #s(literal -3/2 binary64) #s(literal 6 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(approx (/ 1 (+ (* x 1/24) 1/6)) #s(literal 6 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(approx (+ (* x (+ (* x 1/24) -1/6)) 1/2) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) #s(literal -1 binary64))))) |
(if (<=.f64 (exp.f64 x) #s(literal 5764607523034235/144115188075855872 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1) (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))))))) #s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))))) |
(if (<=.f64 (exp.f64 x) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1)) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))))) #s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))))) |
(if (<=.f64 (exp.f64 x) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) #s(approx (* x (+ (* x (+ (* x (+ (* x 1/24) -1/6)) 1/2)) -1)) (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) #s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) (neg.f64 x)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
(if (<=.f64 x #s(literal -7656119366529843/2251799813685248 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))))))) #s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) #s(approx (+ (* x 1/12) (/ 1 x)) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) x))))) |
(if (<=.f64 x #s(literal -4728779608739021/1125899906842624 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x (+ (* x -1/6) 1/2)) -1) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))))) #s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) #s(approx (+ (* x 1/12) (/ 1 x)) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) x))))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (neg.f64 x)))) |
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))) |
(if (<=.f64 x #s(literal -9/2 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 x #s(approx (+ (* x 1/2) -1) (*.f64 x #s(literal 1/2 binary64)))))) #s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/12 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 x) 1/2) #s(literal 1/2 binary64))) |
| 16 338× | lower-fma.f64 |
| 16 338× | lower-fma.f32 |
| 15 808× | lower-fma.f64 |
| 15 808× | lower-fma.f32 |
| 10 384× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 201 | 2227 |
| 1 | 560 | 2179 |
| 2 | 1557 | 2157 |
| 3 | 4581 | 2142 |
| 0 | 8355 | 1833 |
| 0 | 103 | 1179 |
| 1 | 264 | 1178 |
| 2 | 709 | 1150 |
| 3 | 2076 | 1133 |
| 4 | 6339 | 1099 |
| 0 | 8322 | 915 |
| 0 | 5 | 13 |
| 0 | 8 | 13 |
| 1 | 33 | 13 |
| 2 | 188 | 13 |
| 3 | 1808 | 13 |
| 0 | 8774 | 9 |
| 0 | 44 | 202 |
| 1 | 122 | 202 |
| 2 | 258 | 202 |
| 3 | 574 | 202 |
| 4 | 829 | 202 |
| 5 | 972 | 202 |
| 6 | 994 | 202 |
| 7 | 1088 | 196 |
| 8 | 1506 | 196 |
| 9 | 1981 | 196 |
| 10 | 3369 | 196 |
| 11 | 4928 | 196 |
| 12 | 5214 | 196 |
| 13 | 5579 | 196 |
| 14 | 6128 | 196 |
| 15 | 6868 | 196 |
| 0 | 10258 | 150 |
| 0 | 44 | 254 |
| 0 | 66 | 252 |
| 1 | 324 | 252 |
| 2 | 2355 | 252 |
| 0 | 8081 | 234 |
| 0 | 165 | 1858 |
| 1 | 452 | 1844 |
| 2 | 1442 | 1832 |
| 3 | 4783 | 1822 |
| 0 | 8280 | 1508 |
| 1× | fuel |
| 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× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 949 to 526 computations (44.6% saved)
Compiled 714 to 246 computations (65.5% saved)
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