
Time bar (total: 5.1s)
| 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)
| 463.0ms | 8 256× | 0 | valid |
ival-exp: 68.0ms (27.4% of total)ival-expm1: 64.0ms (25.8% of total)ival-div: 61.0ms (24.6% of total)ival->: 42.0ms (16.9% of total)exact: 7.0ms (2.8% of total)adjust: 3.0ms (1.2% of total)ival-assert: 3.0ms (1.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 162 | 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 | 162 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 162 | 0 |
| - | 0 | 94 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 162 | 0 | 0 |
| - | 0 | 0 | 94 |
| number | freq |
|---|---|
| 0 | 94 |
| 1 | 162 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 31.0ms | 512× | 0 | valid |
Compiled 41 to 19 computations (53.7% saved)
ival-div: 4.0ms (33.4% of total)ival-exp: 4.0ms (33.4% of total)ival-expm1: 3.0ms (25.1% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 19 |
| 1 | 21 | 19 |
| 2 | 62 | 19 |
| 3 | 186 | 19 |
| 4 | 864 | 19 |
| 0 | 5 | 7 |
| 0 | 8 | 7 |
| 1 | 13 | 7 |
| 2 | 26 | 7 |
| 3 | 56 | 7 |
| 4 | 229 | 7 |
| 5 | 2069 | 7 |
| 6 | 6649 | 7 |
| 0 | 8741 | 5 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| Outputs |
|---|
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
Compiled 7 to 5 computations (28.6% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 39.8% | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
Compiled 7 to 5 computations (28.6% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (exp.f64 x) | |
| cost-diff | 0 | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) | |
| cost-diff | 2 | (-.f64 (exp.f64 x) #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 15 |
| 0 | 8 | 15 |
| 1 | 13 | 15 |
| 2 | 26 | 15 |
| 3 | 56 | 15 |
| 4 | 229 | 15 |
| 5 | 2069 | 15 |
| 6 | 6649 | 15 |
| 0 | 8741 | 11 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
(exp.f64 x) |
x |
(-.f64 (exp.f64 x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
| Outputs |
|---|
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(exp.f64 x) |
x |
(-.f64 (exp.f64 x) #s(literal 1 binary64)) |
(expm1.f64 x) |
#s(literal 1 binary64) |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (exp.f64 x) | |
| accuracy | 0.0078125 | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) | |
| accuracy | 37.52446252652196 | (-.f64 (exp.f64 x) #s(literal 1 binary64)) |
| 16.0ms | 256× | 0 | valid |
Compiled 17 to 7 computations (58.8% saved)
ival-exp: 7.0ms (63.1% of total)ival-div: 2.0ms (18% of total)ival-expm1: 2.0ms (18% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 (exp.f64 x) #s(literal 1 binary64)) |
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
(exp.f64 x) |
| Outputs |
|---|
x |
(* x (+ 1 (* 1/2 x))) |
(* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) |
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) |
(/ 1 x) |
(/ (+ 1 (* 1/2 x)) x) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(- (exp x) 1) |
(/ (exp x) (- (exp x) 1)) |
(exp x) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | ((- (exp x) 1) (/ (exp x) (- (exp x) 1)) (exp x)) |
| 1.0ms | x | @ | -inf | ((- (exp x) 1) (/ (exp x) (- (exp x) 1)) (exp x)) |
| 1.0ms | x | @ | 0 | ((- (exp x) 1) (/ (exp x) (- (exp x) 1)) (exp x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 111 |
| 1 | 166 | 111 |
| 2 | 530 | 105 |
| 3 | 1942 | 105 |
| 4 | 5239 | 105 |
| 0 | 8089 | 87 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* 1/2 x))) |
(* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) |
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) |
(/ 1 x) |
(/ (+ 1 (* 1/2 x)) x) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(- (exp x) 1) |
(/ (exp x) (- (exp x) 1)) |
(exp x) |
| Outputs |
|---|
x |
(* x (+ 1 (* 1/2 x))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) |
(* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) |
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* 1/2 x)) x) |
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) |
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(- (exp x) 1) |
(expm1.f64 x) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(exp x) |
(exp.f64 x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 13 |
| 0 | 8 | 13 |
| 1 | 30 | 13 |
| 2 | 177 | 13 |
| 3 | 1809 | 13 |
| 0 | 9626 | 9 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (exp.f64 x) #s(literal 1 binary64)) |
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
(exp.f64 x) |
| Outputs |
|---|
(*.f64 (/.f64 (expm1.f64 x) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x))))) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (expm1.f64 x) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (neg.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x))))) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (expm1.f64 x) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 #s(literal 3 binary64) x)))) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) (expm1.f64 x)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x))))) (/.f64 (-.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64)) (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x))))) (/.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 x)) (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x))))) (/.f64 (neg.f64 (expm1.f64 x)) (-.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (neg.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x))))) (/.f64 (-.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64)) (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (neg.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x))))) (/.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 x)) (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (neg.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x))))) (/.f64 (expm1.f64 x) (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 #s(literal 3 binary64) x)))) (/.f64 (-.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64)) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 #s(literal 3 binary64) x)))) (/.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 x)) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 #s(literal 3 binary64) x)))) (/.f64 (expm1.f64 x) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64)) (/.f64 (-.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 x)) (-.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64)) (/.f64 (expm1.f64 x) (-.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(*.f64 (/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))) (expm1.f64 x)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) (-.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(*.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (neg.f64 (expm1.f64 x))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 (-.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 x)) (-.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 (expm1.f64 x) (-.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(*.f64 (/.f64 (expm1.f64 x) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -1 binary64))) (neg.f64 (expm1.f64 x))) |
(*.f64 (/.f64 (expm1.f64 x) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (/.f64 (expm1.f64 x) (expm1.f64 x)))) |
(*.f64 (/.f64 (expm1.f64 x) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 x))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) (-.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (pow.f64 (expm1.f64 x) #s(literal 2 binary64)))) (-.f64 (*.f64 (exp.f64 x) (expm1.f64 x)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (pow.f64 (exp.f64 x) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (expm1.f64 x)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (-.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64)) (/.f64 (expm1.f64 x) (expm1.f64 x)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 (expm1.f64 x) (expm1.f64 x)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (-.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (expm1.f64 x) (/.f64 (expm1.f64 x) (expm1.f64 x)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (expm1.f64 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (/.f64 (expm1.f64 x) (-.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(*.f64 (expm1.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(/.f64 (+.f64 (pow.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) (cosh.f64 x))))) |
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(*.f64 (exp.f64 x) #s(literal 1 binary64)) |
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(/.f64 (+.f64 (pow.f64 (neg.f64 (neg.f64 (cosh.f64 x))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 (neg.f64 (cosh.f64 x))) (sinh.f64 x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sinh.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cosh.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sinh.f64 x) #s(literal 1 binary64)) (*.f64 (sinh.f64 x) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 1 binary64)) (*.f64 (cosh.f64 x) #s(literal 1 binary64))) (*.f64 (*.f64 (sinh.f64 x) #s(literal 1 binary64)) (*.f64 (cosh.f64 x) #s(literal 1 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (sinh.f64 x) (cosh.f64 x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (sinh.f64 x) (cosh.f64 x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (sinh.f64 x) (cosh.f64 x)))) (/.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (sinh.f64 x) (cosh.f64 x)))) (-.f64 (*.f64 (/.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (sinh.f64 x) (cosh.f64 x)))) (/.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (sinh.f64 x) (cosh.f64 x))))) (*.f64 (/.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (sinh.f64 x) (cosh.f64 x)))) (/.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (sinh.f64 x) (cosh.f64 x)))))))) |
(/.f64 (+.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal -2 binary64)) |
(/.f64 (+.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (fabs.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))))) (neg.f64 (fabs.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (sinh.f64 x) (cosh.f64 x)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (sinh.f64 x) (cosh.f64 x)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))) #s(literal -4 binary64)) |
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))) #s(literal -4 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))))) (neg.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (sinh.f64 x) (cosh.f64 x))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (sinh.f64 x) (cosh.f64 x))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (sinh.f64 x) (cosh.f64 x)))))) |
(/.f64 (fabs.f64 (+.f64 (pow.f64 (neg.f64 (cosh.f64 x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 x)) #s(literal 3 binary64)))) (fabs.f64 (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 (cosh.f64 x)) (sinh.f64 (neg.f64 x))))))) |
(/.f64 (fabs.f64 (-.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)))) (exp.f64 (neg.f64 x))) |
(/.f64 (fabs.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal 2 binary64)) |
(/.f64 (fabs.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 2 binary64)) |
(/.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))))) (fabs.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (sinh.f64 x) (cosh.f64 x))))) |
(/.f64 (fabs.f64 (*.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64))) (fabs.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (sinh.f64 x) (cosh.f64 x))))) |
(/.f64 (fabs.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))) #s(literal 4 binary64)) |
(/.f64 (fabs.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))) #s(literal 4 binary64)) |
(/.f64 (fabs.f64 (fabs.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))))) (fabs.f64 (fabs.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (sinh.f64 x) (cosh.f64 x)))))) |
(/.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))) (exp.f64 x))) (sqrt.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (sinh.f64 x) (cosh.f64 x))))) |
(/.f64 (sqrt.f64 (*.f64 (exp.f64 x) (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))))) (sqrt.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (sinh.f64 x) (cosh.f64 x))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (cosh.f64 x) (exp.f64 x)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sinh.f64 x) (exp.f64 x)) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (*.f64 (cosh.f64 x) (exp.f64 x)) (*.f64 (sinh.f64 x) (exp.f64 x))))) |
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 (cosh.f64 x) (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sinh.f64 x) (exp.f64 x)) #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (cosh.f64 x) (exp.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sinh.f64 x) (exp.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 (cosh.f64 x) (exp.f64 x)) (*.f64 (sinh.f64 x) (exp.f64 x))))))) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))))) (sqrt.f64 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (sinh.f64 x) (cosh.f64 x)))))) |
(/.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (sinh.f64 x) (cosh.f64 x))) (exp.f64 (neg.f64 x))))) |
(/.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 (neg.f64 x)))) |
(/.f64 (exp.f64 (log.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))))) (exp.f64 (log.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (sinh.f64 x) (cosh.f64 x)))))) |
(/.f64 (-.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (pow.f64 (cosh.f64 x) #s(literal 2 binary64))) (-.f64 (sinh.f64 x) (cosh.f64 x))) |
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (sinh.f64 x) (sinh.f64 x) (-.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (sinh.f64 x) (cosh.f64 x)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) (neg.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (sinh.f64 x) (cosh.f64 x))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (sinh.f64 x) (cosh.f64 x)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64)) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (sinh.f64 x) (cosh.f64 x)))) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 4 binary64)) |
(/.f64 (fabs.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) (fabs.f64 (fma.f64 (sinh.f64 x) (sinh.f64 x) (-.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (sinh.f64 x) (cosh.f64 x)))))) |
(/.f64 (fabs.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) (fabs.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (sinh.f64 x) (cosh.f64 x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 x)))) |
(/.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))) (fma.f64 (sinh.f64 x) (sinh.f64 x) (-.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (sinh.f64 x) (cosh.f64 x))))) |
(/.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (sinh.f64 x) (cosh.f64 x)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 (neg.f64 x))))) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (-.f64 (neg.f64 (cosh.f64 x)) (sinh.f64 (neg.f64 x))))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) |
(neg.f64 (neg.f64 (exp.f64 x))) |
(fma.f64 (sinh.f64 x) #s(literal 1 binary64) (*.f64 (cosh.f64 x) #s(literal 1 binary64))) |
(fma.f64 (cosh.f64 x) #s(literal 1 binary64) (*.f64 (sinh.f64 x) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (sinh.f64 x) (*.f64 #s(literal 1 binary64) (cosh.f64 x))) |
(fma.f64 #s(literal 1 binary64) (cosh.f64 x) (*.f64 #s(literal 1 binary64) (sinh.f64 x))) |
(sqrt.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64))) |
(-.f64 (/.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (-.f64 (sinh.f64 x) (cosh.f64 x))) (/.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (-.f64 (sinh.f64 x) (cosh.f64 x)))) |
(-.f64 (/.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (/.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))) |
(-.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))) |
(fabs.f64 (-.f64 (/.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (/.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))))) |
(fabs.f64 (neg.f64 (exp.f64 x))) |
(fabs.f64 (exp.f64 x)) |
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 4 binary64))) |
(+.f64 (/.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (fma.f64 (sinh.f64 x) (sinh.f64 x) (-.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (sinh.f64 x) (cosh.f64 x))))) (/.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (fma.f64 (sinh.f64 x) (sinh.f64 x) (-.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (sinh.f64 x) (cosh.f64 x)))))) |
(+.f64 (/.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (fma.f64 (sinh.f64 x) (sinh.f64 x) (-.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (sinh.f64 x) (cosh.f64 x))))) (/.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (fma.f64 (sinh.f64 x) (sinh.f64 x) (-.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (sinh.f64 x) (cosh.f64 x)))))) |
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 4 binary64))) |
(+.f64 (*.f64 (cosh.f64 x) #s(literal 1 binary64)) (*.f64 (sinh.f64 x) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (sinh.f64 x)) (*.f64 #s(literal 1 binary64) (cosh.f64 x))) |
(+.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 x)) (*.f64 #s(literal 1 binary64) (sinh.f64 x))) |
(+.f64 (neg.f64 (neg.f64 (cosh.f64 x))) (sinh.f64 x)) |
(+.f64 (*.f64 (sinh.f64 x) #s(literal 1 binary64)) (*.f64 (cosh.f64 x) #s(literal 1 binary64))) |
(+.f64 (/.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (sinh.f64 x) (cosh.f64 x)))) (/.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (sinh.f64 x) (cosh.f64 x))))) |
(+.f64 (/.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (sinh.f64 x) (cosh.f64 x)))) (/.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (sinh.f64 x) (cosh.f64 x))))) |
(+.f64 (sinh.f64 x) (cosh.f64 x)) |
(+.f64 (cosh.f64 x) (sinh.f64 x)) |
(exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) |
(exp.f64 (*.f64 x #s(literal 1 binary64))) |
(exp.f64 x) |
Compiled 14 895 to 1 739 computations (88.3% saved)
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 567 | 5 | 572 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 568 | 5 | 573 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 38.8% | (/.f64 (exp.f64 x) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
| ▶ | 100.0% | (/.f64 (exp.f64 x) (expm1.f64 x)) |
| ▶ | 64.3% | #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))) |
| ▶ | 64.7% | #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) |
| ▶ | 64.6% | #s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) |
Compiled 112 to 84 computations (25% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (exp.f64 x) | |
| cost-diff | 0 | (/.f64 (exp.f64 x) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) | |
| 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 | (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) | |
| cost-diff | 0 | #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))) | |
| 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 | (expm1.f64 x) | |
| cost-diff | 0 | (exp.f64 x) | |
| cost-diff | 0 | (/.f64 (exp.f64 x) (expm1.f64 x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 112 |
| 0 | 31 | 112 |
| 1 | 41 | 112 |
| 2 | 66 | 112 |
| 3 | 113 | 112 |
| 4 | 337 | 112 |
| 5 | 2146 | 112 |
| 6 | 5446 | 112 |
| 0 | 9253 | 112 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(exp.f64 x) |
x |
(expm1.f64 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)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))) |
(fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) |
#s(literal 1/12 binary64) |
x |
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
#s(literal -1/2 binary64) |
(/.f64 (exp.f64 x) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
(exp.f64 x) |
x |
(-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
| Outputs |
|---|
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(exp.f64 x) |
x |
(expm1.f64 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)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))) |
(fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) |
#s(literal 1/12 binary64) |
x |
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
#s(literal -1/2 binary64) |
(/.f64 (exp.f64 x) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
(exp.f64 x) |
x |
(-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (exp.f64 x) | |
| accuracy | 0.0078125 | (/.f64 (exp.f64 x) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) | |
| accuracy | 22.940375947169496 | #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) | |
| accuracy | 37.52446252652196 | (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (/.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.0 | (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) | |
| accuracy | 0.11947250976844202 | (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) | |
| accuracy | 22.851240594702116 | #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))) | |
| accuracy | 0.0 | (/.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.0 | (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) | |
| accuracy | 22.68767028838971 | #s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) | |
| accuracy | 0.0 | (/.f64 #s(literal 1 binary64) x) | |
| accuracy | 22.612953808314764 | #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.0 | (expm1.f64 x) | |
| accuracy | 0.0 | (exp.f64 x) | |
| accuracy | 0.0078125 | (/.f64 (exp.f64 x) (expm1.f64 x)) |
| 28.0ms | 256× | 0 | valid |
Compiled 94 to 14 computations (85.1% saved)
ival-div: 3.0ms (18.4% of total)const: 3.0ms (18.4% of total)ival-add: 2.0ms (12.2% of total)ival-exp: 2.0ms (12.2% of total)ival-mult: 2.0ms (12.2% of total)ival-expm1: 2.0ms (12.2% of total)ival-sub: 1.0ms (6.1% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(exp.f64 x) |
(expm1.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)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))) |
(fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) |
(/.f64 (exp.f64 x) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
(-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) |
| Outputs |
|---|
(/ 1 x) |
(/ (+ 1 (* 1/2 x)) x) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
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))))))) |
(/ (exp x) (- (exp x) 1)) |
(exp x) |
(- (exp x) 1) |
1/2 |
(+ 1/2 (/ 1 x)) |
(* 1/12 x) |
(* x (+ 1/12 (* 1/2 (/ 1 x)))) |
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | ((/ (exp x) (- (exp x) 1)) (exp x) (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (/ 1 x) (/ (exp x) (- (exp x) 1)) (- (/ 1 x) -1/2) (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (- (/ 1 x) -1/2)) (/ (exp x) (- (exp x) 1)) (- (exp x) 1) (exp x)) |
| 1.0ms | x | @ | -inf | ((/ (exp x) (- (exp x) 1)) (exp x) (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (/ 1 x) (/ (exp x) (- (exp x) 1)) (- (/ 1 x) -1/2) (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (- (/ 1 x) -1/2)) (/ (exp x) (- (exp x) 1)) (- (exp x) 1) (exp x)) |
| 1.0ms | x | @ | inf | ((/ (exp x) (- (exp x) 1)) (exp x) (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (/ 1 x) (/ (exp x) (- (exp x) 1)) (- (/ 1 x) -1/2) (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (- (/ 1 x) -1/2)) (/ (exp x) (- (exp x) 1)) (- (exp x) 1) (exp x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 153 |
| 1 | 214 | 153 |
| 2 | 667 | 140 |
| 3 | 2274 | 140 |
| 4 | 6433 | 140 |
| 0 | 8408 | 120 |
| 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 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
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))))))) |
(/ (exp x) (- (exp x) 1)) |
(exp x) |
(- (exp x) 1) |
1/2 |
(+ 1/2 (/ 1 x)) |
(* 1/12 x) |
(* x (+ 1/12 (* 1/2 (/ 1 x)))) |
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12))) |
| 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) |
(fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) |
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
x |
(* x (+ 1 (* 1/2 x))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) |
(* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) |
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(exp x) |
(exp.f64 x) |
(- (exp x) 1) |
(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)) |
(* 1/12 x) |
(*.f64 #s(literal 1/12 binary64) x) |
(* x (+ 1/12 (* 1/2 (/ 1 x)))) |
(fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) |
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) |
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/12 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 84 |
| 0 | 31 | 84 |
| 1 | 111 | 84 |
| 2 | 754 | 84 |
| 0 | 8410 | 84 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(exp.f64 x) |
(expm1.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)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))) |
(fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) |
(/.f64 (exp.f64 x) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
(-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) |
| Outputs |
|---|
(*.f64 (/.f64 (neg.f64 (exp.f64 x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 (exp.f64 x)) (expm1.f64 (*.f64 #s(literal 3 binary64) x))) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 x))))) |
(*.f64 (/.f64 (exp.f64 x) (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (exp.f64 x) (neg.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)))) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 x))))) |
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 3 binary64) x))) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) |
(*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 3 binary64) x)))) |
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (expm1.f64 x))) |
(*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (expm1.f64 x))) |
(/.f64 (*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 x)))) (expm1.f64 (*.f64 #s(literal 3 binary64) x))) |
(/.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 x))) |
(/.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))) |
(/.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (expm1.f64 x)) |
(/.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 3 binary64) x))) (-.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64)))) (-.f64 (*.f64 (exp.f64 x) (expm1.f64 x)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 3 binary64) x))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal 6 binary64)))) (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (pow.f64 (exp.f64 x) #s(literal 4 binary64)))) |
(/.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 x))) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) |
(/.f64 (-.f64 (*.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (/.f64 (cosh.f64 x) (expm1.f64 x))) (*.f64 (/.f64 (sinh.f64 x) (expm1.f64 x)) (/.f64 (sinh.f64 x) (expm1.f64 x)))) (-.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (/.f64 (sinh.f64 x) (expm1.f64 x)))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (sinh.f64 x) (expm1.f64 x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (/.f64 (cosh.f64 x) (expm1.f64 x)) (-.f64 (*.f64 (/.f64 (sinh.f64 x) (expm1.f64 x)) (/.f64 (sinh.f64 x) (expm1.f64 x))) (*.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (/.f64 (sinh.f64 x) (expm1.f64 x)))))) |
(/.f64 (*.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(/.f64 (*.f64 (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 x))) |
(/.f64 (*.f64 (exp.f64 x) (-.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64)))) (*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) (-.f64 (*.f64 (exp.f64 x) (expm1.f64 x)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (exp.f64 x) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal 6 binary64)))) (*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (pow.f64 (exp.f64 x) #s(literal 4 binary64))))) |
(/.f64 (fma.f64 (cosh.f64 x) (expm1.f64 x) (*.f64 (expm1.f64 x) (sinh.f64 x))) (*.f64 (expm1.f64 x) (expm1.f64 x))) |
(/.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))) (*.f64 (fma.f64 (sinh.f64 x) (-.f64 (sinh.f64 x) (cosh.f64 x)) (pow.f64 (cosh.f64 x) #s(literal 2 binary64))) (expm1.f64 x))) |
(/.f64 (neg.f64 (exp.f64 x)) (neg.f64 (expm1.f64 x))) |
(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) (expm1.f64 x))) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(neg.f64 (/.f64 (neg.f64 (exp.f64 x)) (expm1.f64 x))) |
(fma.f64 (/.f64 (cosh.f64 x) (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -1 binary64)) (/.f64 (sinh.f64 x) (expm1.f64 x))) |
(fma.f64 (/.f64 (cosh.f64 x) (neg.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)))) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 x)))) (/.f64 (sinh.f64 x) (expm1.f64 x))) |
(fma.f64 (/.f64 (exp.f64 x) (-.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) (*.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x))))) |
(fma.f64 (/.f64 (exp.f64 x) (-.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64))) (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x))))) |
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(+.f64 (/.f64 (cosh.f64 x) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (/.f64 (sinh.f64 x) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) |
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(*.f64 (/.f64 (+.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (+.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
(*.f64 (+.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (+.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (/.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) (*.f64 (pow.f64 (+.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (+.f64 (+.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))) (/.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (+.f64 (+.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))) (*.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (+.f64 (+.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (+.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (/.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (fma.f64 (pow.f64 (+.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (+.f64 (+.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (+.f64 (+.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))) (/.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (+.f64 (+.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))) (fma.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (+.f64 (+.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 #s(literal -1 binary64) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)))) (+.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (+.f64 (+.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1 binary64)))) (+.f64 (+.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (+.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (+.f64 (+.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))) (*.f64 (+.f64 (+.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 (+.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 9 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))) (+.f64 (+.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (+.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal -1 binary64) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (+.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 #s(literal -1 binary64) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 (neg.f64 (+.f64 (+.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(neg.f64 (neg.f64 (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 (/.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (+.f64 (+.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(*.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))) |
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) |
Compiled 15 286 to 1 492 computations (90.2% saved)
13 alts after pruning (8 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 501 | 8 | 509 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 0 | 0 |
| Total | 501 | 13 | 514 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 38.8% | (/.f64 (exp.f64 x) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
| ✓ | 100.0% | (/.f64 (exp.f64 x) (expm1.f64 x)) |
| 4.4% | (/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) | |
| ✓ | 64.3% | #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))) |
| ▶ | 2.9% | #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))) |
| 34.5% | #s(approx (/ (exp x) (- (exp x) 1)) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64))) | |
| ✓ | 64.7% | #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) |
| ▶ | 64.3% | #s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64))) |
| ✓ | 64.6% | #s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) |
| ▶ | 33.3% | #s(approx (/ (exp x) (- (exp x) 1)) (sqrt.f64 (pow.f64 x #s(literal -2 binary64)))) |
| ▶ | 3.2% | #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64))) |
| ▶ | 31.1% | #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/12 binary64))))) |
| 3.2% | #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x))) |
Compiled 336 to 238 computations (29.2% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 x #s(literal -2 binary64)) | |
| cost-diff | 0 | (sqrt.f64 (pow.f64 x #s(literal -2 binary64))) | |
| cost-diff | 0 | #s(approx (/ (exp x) (- (exp x) 1)) (sqrt.f64 (pow.f64 x #s(literal -2 binary64)))) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/12 binary64))) | |
| cost-diff | 0 | #s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/12 binary64)))) | |
| cost-diff | 0 | #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/12 binary64))))) | |
| cost-diff | 0 | #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/12 binary64) x #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 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 | (pow.f64 x #s(literal -1 binary64)) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) | |
| cost-diff | 0 | (-.f64 (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 213 |
| 0 | 45 | 211 |
| 1 | 64 | 211 |
| 2 | 98 | 211 |
| 3 | 149 | 211 |
| 4 | 373 | 211 |
| 5 | 1995 | 211 |
| 6 | 6683 | 211 |
| 0 | 8690 | 201 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64))) |
(-.f64 (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64)) |
(fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) |
#s(literal 1/12 binary64) |
x |
(pow.f64 x #s(literal -1 binary64)) |
#s(literal -1 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)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))) |
(fma.f64 #s(literal 1/12 binary64) x #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64))) |
#s(literal 1/12 binary64) |
x |
#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 (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/12 binary64))))) |
#s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/12 binary64)))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/12 binary64))) |
(neg.f64 x) |
x |
(-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/12 binary64)) |
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) |
#s(literal -1/2 binary64) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
#s(literal 1/12 binary64) |
#s(approx (/ (exp x) (- (exp x) 1)) (sqrt.f64 (pow.f64 x #s(literal -2 binary64)))) |
(sqrt.f64 (pow.f64 x #s(literal -2 binary64))) |
(pow.f64 x #s(literal -2 binary64)) |
x |
#s(literal -2 binary64) |
| Outputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)))) |
(-.f64 (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64)) |
(-.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64))) |
(fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) |
#s(literal 1/12 binary64) |
x |
(pow.f64 x #s(literal -1 binary64)) |
#s(literal -1 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)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))) |
(fma.f64 #s(literal 1/12 binary64) x #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64))) |
#s(literal 1/12 binary64) |
x |
#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 (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/12 binary64))))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 1/12 binary64)) (neg.f64 x)))) |
#s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/12 binary64)))) |
#s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 1/12 binary64)) (neg.f64 x))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/12 binary64))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 1/12 binary64)) (neg.f64 x)) |
(neg.f64 x) |
x |
(-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/12 binary64)) |
(-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 1/12 binary64)) |
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(/.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) |
(-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) |
#s(literal -1/2 binary64) |
(/.f64 #s(literal 1 binary64) x) |
(pow.f64 x #s(literal -1 binary64)) |
#s(literal 1 binary64) |
#s(literal 1/12 binary64) |
#s(approx (/ (exp x) (- (exp x) 1)) (sqrt.f64 (pow.f64 x #s(literal -2 binary64)))) |
(sqrt.f64 (pow.f64 x #s(literal -2 binary64))) |
(pow.f64 x #s(literal -2 binary64)) |
x |
#s(literal -2 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (pow.f64 x #s(literal -2 binary64)) | |
| accuracy | 32.448266343923585 | (sqrt.f64 (pow.f64 x #s(literal -2 binary64))) | |
| accuracy | 41.72811566181082 | #s(approx (/ (exp x) (- (exp x) 1)) (sqrt.f64 (pow.f64 x #s(literal -2 binary64)))) | |
| accuracy | 0.014003759768442016 | (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/12 binary64)) | |
| accuracy | 0.05859375 | (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) | |
| accuracy | 21.379477888958633 | (*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/12 binary64))) | |
| accuracy | 22.851240594702116 | #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/12 binary64))))) | |
| accuracy | 0.11947250976844202 | (fma.f64 #s(literal 1/12 binary64) x #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64))) | |
| accuracy | 22.851240594702116 | #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))) | |
| accuracy | 39.90176089195032 | #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)) | |
| accuracy | 22.68767028838971 | #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64))) | |
| accuracy | 39.90176089195032 | #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)) | |
| accuracy | 0.0 | (pow.f64 x #s(literal -1 binary64)) | |
| accuracy | 0.006191259768442017 | (-.f64 (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64)) | |
| accuracy | 0.1171875 | (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) | |
| accuracy | 22.851240594702116 | #s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64))) |
| 64.0ms | 256× | 0 | valid |
Compiled 143 to 26 computations (81.8% saved)
ival-div: 16.0ms (35% of total)ival-pow: 9.0ms (19.7% of total)ival-sub: 4.0ms (8.8% of total)const: 4.0ms (8.8% of total)ival-mult: 3.0ms (6.6% of total)ival-exp: 2.0ms (4.4% of total)ival-add: 2.0ms (4.4% of total)ival-expm1: 2.0ms (4.4% of total)ival-sqrt: 2.0ms (4.4% of total)exact: 1.0ms (2.2% of total)ival-neg: 1.0ms (2.2% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64))) |
(-.f64 (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64)) |
(fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) |
(pow.f64 x #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)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))) |
(fma.f64 #s(literal 1/12 binary64) x #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/12 binary64))))) |
#s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/12 binary64)))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/12 binary64))) |
(neg.f64 x) |
#s(approx (/ (exp x) (- (exp x) 1)) (sqrt.f64 (pow.f64 x #s(literal -2 binary64)))) |
(sqrt.f64 (pow.f64 x #s(literal -2 binary64))) |
(pow.f64 x #s(literal -2 binary64)) |
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/12 binary64)) |
| Outputs |
|---|
(/ 1 x) |
(/ (+ 1 (* 1/2 x)) x) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) |
(/ (+ 1 (* 1/12 (pow x 2))) x) |
(* -1 x) |
(/ 1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ (- (* -1/2 x) 1) (pow x 2)) |
(/ (- (* x (- (* -1/12 x) 1/2)) 1) (pow x 2)) |
(/ (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 (pow x 2)))) |
1/2 |
(+ 1/2 (/ 1 x)) |
(/ -1/2 x) |
(* -1 (/ (+ 1/2 (/ 1 x)) x)) |
-1/12 |
(* -1 (+ 1/12 (* 1/2 (/ 1 x)))) |
(- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12) |
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12))) |
(/ -1 x) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | ((/ (exp x) (- (exp x) 1)) (- (+ (* 1/12 x) (pow x -1)) -1/2) (+ (* 1/12 x) (pow x -1)) (pow x -1) (/ (exp x) (- (exp x) 1)) (- (/ 1 x) -1/2) (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (- (/ 1 x) -1/2)) (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (- (/ 1 x) -1/2)) (* (neg x) (- (/ (- -1/2 (/ 1 x)) x) 1/12)) (neg x) (/ (exp x) (- (exp x) 1)) (sqrt (pow x -2)) (pow x -2) (/ (- -1/2 (/ 1 x)) x) (- (/ (- -1/2 (/ 1 x)) x) 1/12)) |
| 1.0ms | x | @ | inf | ((/ (exp x) (- (exp x) 1)) (- (+ (* 1/12 x) (pow x -1)) -1/2) (+ (* 1/12 x) (pow x -1)) (pow x -1) (/ (exp x) (- (exp x) 1)) (- (/ 1 x) -1/2) (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (- (/ 1 x) -1/2)) (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (- (/ 1 x) -1/2)) (* (neg x) (- (/ (- -1/2 (/ 1 x)) x) 1/12)) (neg x) (/ (exp x) (- (exp x) 1)) (sqrt (pow x -2)) (pow x -2) (/ (- -1/2 (/ 1 x)) x) (- (/ (- -1/2 (/ 1 x)) x) 1/12)) |
| 1.0ms | x | @ | -inf | ((/ (exp x) (- (exp x) 1)) (- (+ (* 1/12 x) (pow x -1)) -1/2) (+ (* 1/12 x) (pow x -1)) (pow x -1) (/ (exp x) (- (exp x) 1)) (- (/ 1 x) -1/2) (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (- (/ 1 x) -1/2)) (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (- (/ 1 x) -1/2)) (* (neg x) (- (/ (- -1/2 (/ 1 x)) x) 1/12)) (neg x) (/ (exp x) (- (exp x) 1)) (sqrt (pow x -2)) (pow x -2) (/ (- -1/2 (/ 1 x)) x) (- (/ (- -1/2 (/ 1 x)) x) 1/12)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 172 |
| 1 | 177 | 171 |
| 2 | 483 | 149 |
| 3 | 1448 | 145 |
| 4 | 4349 | 141 |
| 0 | 8158 | 131 |
| 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 (* 1/12 (pow x 2))) x) |
(* -1 x) |
(/ 1 (pow x 2)) |
(/ -1 (pow x 2)) |
(/ (- (* -1/2 x) 1) (pow x 2)) |
(/ (- (* x (- (* -1/12 x) 1/2)) 1) (pow x 2)) |
(/ (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 (pow x 2)))) |
1/2 |
(+ 1/2 (/ 1 x)) |
(/ -1/2 x) |
(* -1 (/ (+ 1/2 (/ 1 x)) x)) |
-1/12 |
(* -1 (+ 1/12 (* 1/2 (/ 1 x)))) |
(- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12) |
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12))) |
(/ -1 x) |
| 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) |
(fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) |
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))) |
(/ (+ 1 (* 1/12 (pow x 2))) x) |
(fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x)) |
(* -1 x) |
(neg.f64 x) |
(/ 1 (pow x 2)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) x) |
(/ -1 (pow x 2)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) x) |
(/ (- (* -1/2 x) 1) (pow x 2)) |
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(/ (- (* x (- (* -1/12 x) 1/2)) 1) (pow x 2)) |
(-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/12 binary64)) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(* 1/12 x) |
(*.f64 #s(literal 1/12 binary64) x) |
(* x (+ 1/12 (* 1/2 (/ 1 x)))) |
(fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) |
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) |
(* x (+ 1/12 (/ 1 (pow x 2)))) |
(fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) 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 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(* -1 (/ (+ 1/2 (/ 1 x)) x)) |
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
-1/12 |
#s(literal -1/12 binary64) |
(* -1 (+ 1/12 (* 1/2 (/ 1 x)))) |
(-.f64 #s(literal -1/12 binary64) (/.f64 #s(literal 1/2 binary64) x)) |
(- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12) |
(-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/12 binary64)) |
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12))) |
(fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 184 |
| 0 | 45 | 180 |
| 1 | 176 | 180 |
| 2 | 1201 | 180 |
| 0 | 8279 | 170 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64))) |
(-.f64 (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64)) |
(fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) |
(pow.f64 x #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)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))) |
(fma.f64 #s(literal 1/12 binary64) x #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/12 binary64))))) |
#s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/12 binary64)))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/12 binary64))) |
(neg.f64 x) |
#s(approx (/ (exp x) (- (exp x) 1)) (sqrt.f64 (pow.f64 x #s(literal -2 binary64)))) |
(sqrt.f64 (pow.f64 x #s(literal -2 binary64))) |
(pow.f64 x #s(literal -2 binary64)) |
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/12 binary64)) |
| Outputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))) (/.f64 (pow.f64 (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))))) (*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/12 binary64) x (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/12 binary64) x (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))))) (+.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/12 binary64) x (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/12 binary64) x) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))) (/.f64 (pow.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/12 binary64) x) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))))) (*.f64 (/.f64 (pow.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/12 binary64) x) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))) (/.f64 (pow.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/12 binary64) x) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))))) (+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/12 binary64) x) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))) (/.f64 (pow.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/12 binary64) x) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (+.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (+.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))))) (*.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))) (/.f64 #s(literal -1/8 binary64) (+.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))))) (+.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (+.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))) (/.f64 #s(literal -1/8 binary64) (+.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/12 binary64) x)) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/12 binary64) x)))) (+.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/12 binary64) x)))) |
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/12 binary64) x) (*.f64 #s(literal -1/12 binary64) x))) (-.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/12 binary64) x))) |
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 x) #s(literal 1/12 binary64)) (*.f64 (neg.f64 x) #s(literal 1/12 binary64)))) (-.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/12 binary64) x))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/144 binary64) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (-.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/12 binary64) x))))) (/.f64 (pow.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/144 binary64) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (-.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/12 binary64) x)))))) (*.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/144 binary64) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (-.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/12 binary64) x))))) (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/144 binary64) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (-.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/12 binary64) x))))))) (-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/144 binary64) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (-.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/12 binary64) x))))) (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/144 binary64) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (-.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/12 binary64) x))))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal -1/2 binary64)) (-.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal -1/2 binary64)))) (-.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal -1/2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/12 binary64) x (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))) (/.f64 (pow.f64 (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/12 binary64) x (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/12 binary64) x (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))) (*.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/12 binary64) x (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/12 binary64) x) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/12 binary64) x) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/12 binary64) x) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))) (/.f64 (pow.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/12 binary64) x) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))) (fma.f64 (/.f64 (pow.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/12 binary64) x) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))) (/.f64 (pow.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/12 binary64) x) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/12 binary64) x) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))) (/.f64 (pow.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/12 binary64) x) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (+.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (+.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (+.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))) (/.f64 #s(literal -1/8 binary64) (+.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (+.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))) (/.f64 #s(literal -1/8 binary64) (+.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))))))) |
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(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 2 binary64)) #s(literal 1/144 binary64)))) (neg.f64 (neg.f64 (+.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 1/12 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 3 binary64)) #s(literal 1/1728 binary64)))) (neg.f64 (neg.f64 (+.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 1/12 binary64) #s(literal 1/144 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 2 binary64)) (+.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 1/12 binary64))) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 1/12 binary64)) #s(literal 1/144 binary64))) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 1/12 binary64)) (+.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 1/12 binary64)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 3 binary64)) (+.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 1/12 binary64) #s(literal 1/144 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 2 binary64)))) (*.f64 (+.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 1/12 binary64) #s(literal 1/144 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 2 binary64))) #s(literal 1/1728 binary64))) (*.f64 (+.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 1/12 binary64) #s(literal 1/144 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 2 binary64))) (+.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 1/12 binary64) #s(literal 1/144 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 2 binary64)) #s(literal 1/144 binary64))) (neg.f64 (+.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 1/12 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 3 binary64)) #s(literal 1/1728 binary64))) (neg.f64 (+.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 1/12 binary64) #s(literal 1/144 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 2 binary64)) #s(literal 1/144 binary64)) (+.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 1/12 binary64))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 3 binary64)) #s(literal 1/1728 binary64)) (+.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 1/12 binary64) #s(literal 1/144 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 2 binary64)) (+.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 1/12 binary64))) (/.f64 #s(literal 1/144 binary64) (+.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 1/12 binary64)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 3 binary64)) (+.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 1/12 binary64) #s(literal 1/144 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1/1728 binary64) (+.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 1/12 binary64) #s(literal 1/144 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 2 binary64))))) |
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64))) |
(-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 1/12 binary64)) |
Compiled 15 427 to 1 898 computations (87.7% saved)
12 alts after pruning (5 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 393 | 3 | 396 |
| Fresh | 1 | 2 | 3 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 4 | 5 |
| Total | 397 | 12 | 409 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 38.8% | (/.f64 (exp.f64 x) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
| ✓ | 100.0% | (/.f64 (exp.f64 x) (expm1.f64 x)) |
| ▶ | 4.4% | (/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
| ✓ | 2.9% | #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))) |
| ▶ | 34.5% | #s(approx (/ (exp x) (- (exp x) 1)) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64))) |
| ✓ | 64.7% | #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) |
| ▶ | 64.3% | #s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))) |
| ✓ | 64.6% | #s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) |
| ✓ | 33.3% | #s(approx (/ (exp x) (- (exp x) 1)) (sqrt.f64 (pow.f64 x #s(literal -2 binary64)))) |
| ▶ | 34.0% | #s(approx (/ (exp x) (- (exp x) 1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| ✓ | 3.2% | #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64))) |
| ▶ | 3.2% | #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (+ (* 1/12 x) (pow x -1)) -1/2) (*.f64 #s(literal 1/12 binary64) x))) |
Compiled 243 to 171 computations (29.6% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (exp x) (- (exp x) 1)) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 x x)) | |
| cost-diff | 0 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) | |
| cost-diff | 0 | #s(approx (/ (exp x) (- (exp x) 1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) | |
| cost-diff | 0 | (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 #s(literal 1/12 binary64) x) | |
| cost-diff | 0 | #s(approx (- (+ (* 1/12 x) (pow x -1)) -1/2) (*.f64 #s(literal 1/12 binary64) x)) | |
| cost-diff | 0 | #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (+ (* 1/12 x) (pow x -1)) -1/2) (*.f64 #s(literal 1/12 binary64) x))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (-.f64 (fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 163 |
| 0 | 40 | 161 |
| 1 | 56 | 161 |
| 2 | 94 | 161 |
| 3 | 165 | 161 |
| 4 | 365 | 161 |
| 5 | 2023 | 161 |
| 6 | 7924 | 161 |
| 0 | 8490 | 153 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))) |
(-.f64 (fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) |
(fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x)) |
#s(literal 1/12 binary64) |
x |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
#s(literal -1/2 binary64) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (+ (* 1/12 x) (pow x -1)) -1/2) (*.f64 #s(literal 1/12 binary64) x))) |
#s(approx (- (+ (* 1/12 x) (pow x -1)) -1/2) (*.f64 #s(literal 1/12 binary64) x)) |
(*.f64 #s(literal 1/12 binary64) x) |
#s(literal 1/12 binary64) |
x |
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
#s(approx (/ (exp x) (- (exp x) 1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
#s(literal 1 binary64) |
(*.f64 x x) |
x |
#s(approx (/ (exp x) (- (exp x) 1)) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64))) |
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) |
(*.f64 x x) |
x |
#s(literal -1/2 binary64) |
| Outputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64))) |
(-.f64 (fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) |
(-.f64 (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64)) |
(fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x)) |
(fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) |
#s(literal 1/12 binary64) |
x |
(/.f64 #s(literal 1 binary64) x) |
(pow.f64 x #s(literal -1 binary64)) |
#s(literal 1 binary64) |
#s(literal -1/2 binary64) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (+ (* 1/12 x) (pow x -1)) -1/2) (*.f64 #s(literal 1/12 binary64) x))) |
#s(approx (- (+ (* 1/12 x) (pow x -1)) -1/2) (*.f64 #s(literal 1/12 binary64) x)) |
(*.f64 #s(literal 1/12 binary64) x) |
#s(literal 1/12 binary64) |
x |
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
#s(approx (/ (exp x) (- (exp x) 1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (sqrt.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) x))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(sqrt.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) x) |
#s(literal 1 binary64) |
(*.f64 x x) |
x |
#s(approx (/ (exp x) (- (exp x) 1)) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64))) |
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) |
(*.f64 x x) |
x |
#s(literal -1/2 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 32.18453558399494 | (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) | |
| accuracy | 41.72811566181082 | #s(approx (/ (exp x) (- (exp x) 1)) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64))) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.2809557706044865 | (/.f64 #s(literal 1 binary64) (*.f64 x x)) | |
| accuracy | 32.448266343923585 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) | |
| accuracy | 41.72811566181082 | #s(approx (/ (exp x) (- (exp x) 1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) | |
| accuracy | 0.0 | (+.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.0078125 | (/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) | |
| accuracy | 22.940375947169496 | #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) | |
| accuracy | 37.52446252652196 | (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) | |
| accuracy | 0.33984375 | (*.f64 #s(literal 1/12 binary64) x) | |
| accuracy | 22.851240594702116 | #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (+ (* 1/12 x) (pow x -1)) -1/2) (*.f64 #s(literal 1/12 binary64) x))) | |
| accuracy | 39.73287603490361 | #s(approx (- (+ (* 1/12 x) (pow x -1)) -1/2) (*.f64 #s(literal 1/12 binary64) x)) | |
| accuracy | 0.0 | (/.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.006191259768442017 | (-.f64 (fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) | |
| accuracy | 0.1171875 | (fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 22.851240594702116 | #s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))) |
| 48.0ms | 256× | 0 | valid |
Compiled 111 to 22 computations (80.2% saved)
ival-pow: 10.0ms (29% of total)ival-div: 5.0ms (14.5% of total)const: 4.0ms (11.6% of total)ival-add: 3.0ms (8.7% of total)ival-mult: 3.0ms (8.7% of total)ival-exp: 2.0ms (5.8% of total)ival-expm1: 2.0ms (5.8% of total)ival-sub: 2.0ms (5.8% of total)ival-sqrt: 2.0ms (5.8% 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 |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))) |
(-.f64 (fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) |
(fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (+ (* 1/12 x) (pow x -1)) -1/2) (*.f64 #s(literal 1/12 binary64) x))) |
#s(approx (- (+ (* 1/12 x) (pow x -1)) -1/2) (*.f64 #s(literal 1/12 binary64) x)) |
(*.f64 #s(literal 1/12 binary64) x) |
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) x) |
(-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
#s(approx (/ (exp x) (- (exp x) 1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 x x) |
#s(approx (/ (exp x) (- (exp x) 1)) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64))) |
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) |
| Outputs |
|---|
(/ 1 x) |
(/ (+ 1 (* 1/2 x)) x) |
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x) |
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) |
(/ (+ 1 (* 1/12 (pow x 2))) x) |
(* 1/12 x) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
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 (pow x 2)) |
(pow x 2) |
(/ (exp x) (- (exp x) 1)) |
(* x (+ 1/12 (* 1/2 (/ 1 x)))) |
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(* x (+ 1/12 (/ 1 (pow x 2)))) |
(exp x) |
(* x (+ 1 (/ 1 x))) |
(- (exp x) 1) |
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12))) |
(/ -1 x) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | ((/ (exp x) (- (exp x) 1)) (- (+ (* 1/12 x) (/ 1 x)) -1/2) (+ (* 1/12 x) (/ 1 x)) (/ 1 x) (/ (exp x) (- (exp x) 1)) (- (+ (* 1/12 x) (pow x -1)) -1/2) (* 1/12 x) (/ (exp x) (- (exp x) 1)) (exp x) (+ 1 x) (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (sqrt (/ 1 (* x x))) (/ 1 (* x x)) (* x x) (/ (exp x) (- (exp x) 1)) (pow (* x x) -1/2)) |
| 2.0ms | x | @ | inf | ((/ (exp x) (- (exp x) 1)) (- (+ (* 1/12 x) (/ 1 x)) -1/2) (+ (* 1/12 x) (/ 1 x)) (/ 1 x) (/ (exp x) (- (exp x) 1)) (- (+ (* 1/12 x) (pow x -1)) -1/2) (* 1/12 x) (/ (exp x) (- (exp x) 1)) (exp x) (+ 1 x) (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (sqrt (/ 1 (* x x))) (/ 1 (* x x)) (* x x) (/ (exp x) (- (exp x) 1)) (pow (* x x) -1/2)) |
| 1.0ms | x | @ | 0 | ((/ (exp x) (- (exp x) 1)) (- (+ (* 1/12 x) (/ 1 x)) -1/2) (+ (* 1/12 x) (/ 1 x)) (/ 1 x) (/ (exp x) (- (exp x) 1)) (- (+ (* 1/12 x) (pow x -1)) -1/2) (* 1/12 x) (/ (exp x) (- (exp x) 1)) (exp x) (+ 1 x) (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (sqrt (/ 1 (* x x))) (/ 1 (* x x)) (* x x) (/ (exp x) (- (exp x) 1)) (pow (* x x) -1/2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 66 | 177 |
| 1 | 241 | 173 |
| 2 | 715 | 162 |
| 3 | 2350 | 162 |
| 4 | 6581 | 162 |
| 0 | 8462 | 140 |
| 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 (* 1/12 (pow x 2))) x) |
(* 1/12 x) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
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 (pow x 2)) |
(pow x 2) |
(/ (exp x) (- (exp x) 1)) |
(* x (+ 1/12 (* 1/2 (/ 1 x)))) |
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(* x (+ 1/12 (/ 1 (pow x 2)))) |
(exp x) |
(* x (+ 1 (/ 1 x))) |
(- (exp x) 1) |
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12))) |
(/ -1 x) |
| 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) |
(fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) |
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) |
(/ (+ 1 (* 1/12 (pow x 2))) x) |
(fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x)) |
(* 1/12 x) |
(*.f64 #s(literal 1/12 binary64) x) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(-.f64 x #s(literal -1 binary64)) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
x |
(* x (+ 1 (* 1/2 x))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) |
(* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) |
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) |
(/ 1 (pow x 2)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) x) |
(pow x 2) |
(*.f64 x x) |
(/ (exp x) (- (exp x) 1)) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(* x (+ 1/12 (* 1/2 (/ 1 x)))) |
(fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) |
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) |
(* x (+ 1/12 (/ 1 (pow x 2)))) |
(fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x)) |
(exp x) |
(exp.f64 x) |
(* x (+ 1 (/ 1 x))) |
(-.f64 x #s(literal -1 binary64)) |
(- (exp x) 1) |
(expm1.f64 x) |
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/12 binary64))) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 148 |
| 0 | 40 | 142 |
| 1 | 160 | 134 |
| 2 | 940 | 134 |
| 0 | 9395 | 126 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))) |
(-.f64 (fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) |
(fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (+ (* 1/12 x) (pow x -1)) -1/2) (*.f64 #s(literal 1/12 binary64) x))) |
#s(approx (- (+ (* 1/12 x) (pow x -1)) -1/2) (*.f64 #s(literal 1/12 binary64) x)) |
(*.f64 #s(literal 1/12 binary64) x) |
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) x) |
(-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
#s(approx (/ (exp x) (- (exp x) 1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 x x) |
#s(approx (/ (exp x) (- (exp x) 1)) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64))) |
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) |
| Outputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))))) (/.f64 (pow.f64 (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64)))))) (*.f64 (/.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))))) (/.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))))))) (+.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))))) (/.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))))) (*.f64 (/.f64 #s(literal -1/8 binary64) (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))) (/.f64 #s(literal -1/8 binary64) (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))))) (+.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/144 binary64) (*.f64 x x))) (-.f64 (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64))) |
(/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (-.f64 (*.f64 #s(literal -1/12 binary64) x) #s(literal -1/2 binary64)) (-.f64 (*.f64 #s(literal -1/12 binary64) x) #s(literal -1/2 binary64)))) (-.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 (*.f64 #s(literal -1/12 binary64) x) #s(literal -1/2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))))) (/.f64 (pow.f64 (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))))) (fma.f64 (/.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))))) (/.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))))) (*.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))))) (/.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/8 binary64) (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))) (/.f64 #s(literal -1/8 binary64) (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))) (/.f64 #s(literal -1/8 binary64) (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))))))) |
(/.f64 (+.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/12 binary64) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/144 binary64) (*.f64 x x)) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/12 binary64) x))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal -1/12 binary64) x) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/12 binary64) x) #s(literal -1/2 binary64)) (-.f64 (*.f64 #s(literal -1/12 binary64) x) #s(literal -1/2 binary64))) (*.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 (*.f64 #s(literal -1/12 binary64) x) #s(literal -1/2 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/144 binary64) (*.f64 x x)) (pow.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal -1/12 binary64) x) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/1728 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/144 binary64) (*.f64 x x) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (-.f64 (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal -1/8 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))))) |
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(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 4 binary64)) |
(pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 x x) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) |
(pow.f64 x #s(literal -2 binary64)) |
(/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 x x)) |
(/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 x (sqrt.f64 x))) |
(/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 x) x)) |
(/.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 x x)) |
(/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 x (sqrt.f64 x))) |
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 x x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 x (sqrt.f64 x))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 x x)) |
(/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 x x)) |
(/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) x)) |
(/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) x)) |
(/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) x) |
(/.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) x) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) x) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(neg.f64 (pow.f64 x #s(literal -2 binary64))) |
(fma.f64 (cosh.f64 (neg.f64 (log.f64 x))) (pow.f64 x #s(literal -1 binary64)) (*.f64 (sinh.f64 (neg.f64 (log.f64 x))) (pow.f64 x #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (cosh.f64 (neg.f64 (log.f64 x))) (*.f64 (pow.f64 x #s(literal -1 binary64)) (sinh.f64 (neg.f64 (log.f64 x))))) |
(sqrt.f64 (pow.f64 x #s(literal -4 binary64))) |
(fabs.f64 (pow.f64 x #s(literal -2 binary64))) |
(+.f64 (*.f64 (cosh.f64 (neg.f64 (log.f64 x))) (pow.f64 x #s(literal -1 binary64))) (*.f64 (sinh.f64 (neg.f64 (log.f64 x))) (pow.f64 x #s(literal -1 binary64)))) |
(+.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (cosh.f64 (neg.f64 (log.f64 x)))) (*.f64 (pow.f64 x #s(literal -1 binary64)) (sinh.f64 (neg.f64 (log.f64 x))))) |
(+.f64 (/.f64 (cosh.f64 (neg.f64 (log.f64 x))) x) (/.f64 (sinh.f64 (neg.f64 (log.f64 x))) x)) |
(+.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x))) (sinh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 #s(literal -2 binary64) (log.f64 x))) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 x x) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x)) |
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(neg.f64 (*.f64 x x)) |
(sqrt.f64 (pow.f64 x #s(literal 4 binary64))) |
(fabs.f64 (*.f64 x x)) |
(+.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))) (sinh.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))) |
#s(approx (/ (exp x) (- (exp x) 1)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))) (neg.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))) (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal -3/2 binary64))) (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x))) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (sqrt.f64 (pow.f64 x #s(literal -3/2 binary64)))) |
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (neg.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) |
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 x))) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 x)) |
(pow.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)) |
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(pow.f64 x #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (cosh.f64 (neg.f64 (log.f64 x))) (cosh.f64 (neg.f64 (log.f64 x)))) (*.f64 (sinh.f64 (neg.f64 (log.f64 x))) (sinh.f64 (neg.f64 (log.f64 x))))) (-.f64 (cosh.f64 (neg.f64 (log.f64 x))) (sinh.f64 (neg.f64 (log.f64 x))))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (neg.f64 (log.f64 x))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 (log.f64 x))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (neg.f64 (log.f64 x))) (cosh.f64 (neg.f64 (log.f64 x))) (-.f64 (*.f64 (sinh.f64 (neg.f64 (log.f64 x))) (sinh.f64 (neg.f64 (log.f64 x)))) (*.f64 (cosh.f64 (neg.f64 (log.f64 x))) (sinh.f64 (neg.f64 (log.f64 x))))))) |
(/.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) x) |
(/.f64 (fabs.f64 (sqrt.f64 #s(literal -1 binary64))) x) |
(/.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64)))) (sqrt.f64 x)) |
(/.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (sqrt.f64 x)) |
(/.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (neg.f64 (sqrt.f64 x))) |
(/.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (sqrt.f64 x)) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) x) |
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (sqrt.f64 x))) |
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) |
(/.f64 #s(literal -1 binary64) x) |
(/.f64 #s(literal 1 binary64) x) |
(neg.f64 (pow.f64 x #s(literal -1 binary64))) |
(fma.f64 (cosh.f64 (neg.f64 (log.f64 x))) #s(literal 1 binary64) (*.f64 (sinh.f64 (neg.f64 (log.f64 x))) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (cosh.f64 (neg.f64 (log.f64 x))) (*.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 (log.f64 x))))) |
(sqrt.f64 (pow.f64 x #s(literal -2 binary64))) |
(fabs.f64 (pow.f64 x #s(literal -1 binary64))) |
(+.f64 (*.f64 (cosh.f64 (neg.f64 (log.f64 x))) #s(literal 1 binary64)) (*.f64 (sinh.f64 (neg.f64 (log.f64 x))) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 (neg.f64 (log.f64 x)))) (*.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 (log.f64 x))))) |
(+.f64 (neg.f64 (cosh.f64 (neg.f64 (log.f64 x)))) (neg.f64 (sinh.f64 (neg.f64 (log.f64 x))))) |
(+.f64 (cosh.f64 (neg.f64 (log.f64 x))) (sinh.f64 (neg.f64 (log.f64 x)))) |
(exp.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1/4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1/4 binary64)))) |
(exp.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1/4 binary64) (*.f64 (log.f64 x) #s(literal -1/2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1/4 binary64)))) |
(exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1/4 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal -1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (neg.f64 (log.f64 x))) |
Compiled 11 636 to 1 453 computations (87.5% saved)
14 alts after pruning (4 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 400 | 4 | 404 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 4 | 5 |
| Done | 1 | 6 | 7 |
| Total | 402 | 14 | 416 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 38.8% | (/.f64 (exp.f64 x) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
| ✓ | 100.0% | (/.f64 (exp.f64 x) (expm1.f64 x)) |
| 23.0% | (/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(approx (exp x) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))) | |
| ✓ | 4.4% | (/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
| 91.9% | (/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) | |
| 87.3% | (/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) | |
| 83.2% | (/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) | |
| ✓ | 2.9% | #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))) |
| ✓ | 64.7% | #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) |
| ✓ | 64.3% | #s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))) |
| ✓ | 64.6% | #s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) |
| ✓ | 34.0% | #s(approx (/ (exp x) (- (exp x) 1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| ✓ | 3.2% | #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64))) |
| ✓ | 3.2% | #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (+ (* 1/12 x) (pow x -1)) -1/2) (*.f64 #s(literal 1/12 binary64) x))) |
Compiled 561 to 245 computations (56.3% 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 (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (+ (* 1/12 x) (pow x -1)) -1/2) (*.f64 #s(literal 1/12 binary64) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (- (/ 1 x) -1/2) #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)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))) |
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/12 binary64))))) |
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) |
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(approx (exp x) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) (sqrt.f64 (pow.f64 x #s(literal -2 binary64)))) |
(/.f64 (exp.f64 x) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| Outputs |
|---|
(/.f64 (exp.f64 x) (expm1.f64 x)) |
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 |
|---|---|---|
| 100.0% | 1 | (exp.f64 x) |
| 100.0% | 1 | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 100.0% | 1 | x |
Compiled 10 to 8 computations (20% 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 (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (+ (* 1/12 x) (pow x -1)) -1/2) (*.f64 #s(literal 1/12 binary64) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (- (/ 1 x) -1/2) #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)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))) |
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/12 binary64))))) |
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) |
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(approx (exp x) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) (sqrt.f64 (pow.f64 x #s(literal -2 binary64)))) |
(/.f64 (exp.f64 x) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
| Outputs |
|---|
(/.f64 (exp.f64 x) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))) |
3 calls:
| 16.0ms | x |
| 4.0ms | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 4.0ms | (exp.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 2 | (exp.f64 x) |
| 98.3% | 2 | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 99.0% | 2 | x |
Compiled 10 to 8 computations (20% 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 (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (+ (* 1/12 x) (pow x -1)) -1/2) (*.f64 #s(literal 1/12 binary64) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (- (/ 1 x) -1/2) #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)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))) |
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/12 binary64))))) |
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) |
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(approx (exp x) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) (sqrt.f64 (pow.f64 x #s(literal -2 binary64)))) |
| Outputs |
|---|
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) |
3 calls:
| 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 |
|---|---|---|
| 91.9% | 1 | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 91.9% | 1 | (exp.f64 x) |
| 91.9% | 1 | x |
Compiled 10 to 8 computations (20% 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 (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (+ (* 1/12 x) (pow x -1)) -1/2) (*.f64 #s(literal 1/12 binary64) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (- (/ 1 x) -1/2) #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)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))) |
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/12 binary64))))) |
| Outputs |
|---|
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) |
3 calls:
| 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 |
|---|---|---|
| 87.3% | 1 | (exp.f64 x) |
| 87.3% | 1 | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 87.3% | 1 | x |
Compiled 10 to 8 computations (20% 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 (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (+ (* 1/12 x) (pow x -1)) -1/2) (*.f64 #s(literal 1/12 binary64) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (- (/ 1 x) -1/2) #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)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))) |
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| Outputs |
|---|
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) |
3 calls:
| 3.0ms | x |
| 3.0ms | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 2.0ms | (exp.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.2% | 1 | x |
| 83.2% | 1 | (exp.f64 x) |
| 83.2% | 1 | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
Compiled 10 to 8 computations (20% saved)
| Inputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (+ (* 1/12 x) (pow x -1)) -1/2) (*.f64 #s(literal 1/12 binary64) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (- (/ 1 x) -1/2) #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)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))) |
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) |
3 calls:
| 4.0ms | (exp.f64 x) |
| 3.0ms | x |
| 2.0ms | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.7% | 1 | (exp.f64 x) |
| 64.7% | 1 | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 64.7% | 1 | x |
Compiled 10 to 8 computations (20% 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 (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (+ (* 1/12 x) (pow x -1)) -1/2) (*.f64 #s(literal 1/12 binary64) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))) |
| Outputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x))) |
3 calls:
| 2.0ms | x |
| 1.0ms | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 1.0ms | (exp.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 3.2% | 1 | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 3.2% | 1 | (exp.f64 x) |
| 3.2% | 1 | x |
Compiled 10 to 8 computations (20% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (/ 1 x) -1/2) #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:
| 1.0ms | x |
| 1.0ms | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 1.0ms | (exp.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 3.2% | 1 | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 3.2% | 1 | (exp.f64 x) |
| 3.2% | 1 | x |
Compiled 10 to 8 computations (20% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | -4.3700339371228045 | -2.7557606790954967e-8 |
| 7.0ms | 144× | 0 | valid |
Compiled 253 to 206 computations (18.6% saved)
ival-exp: 2.0ms (47.9% of total)ival-div: 1.0ms (24% of total)ival-expm1: 1.0ms (24% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 146 |
| 1 | 64 | 146 |
| 2 | 91 | 146 |
| 3 | 140 | 146 |
| 4 | 350 | 146 |
| 5 | 2035 | 146 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(if (<=.f64 x #s(literal -8782019273372467/2251799813685248 binary64)) (/.f64 (exp.f64 x) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) #s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)))) |
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) |
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) |
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64))) |
| Outputs |
|---|
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(if (<=.f64 x #s(literal -8782019273372467/2251799813685248 binary64)) (/.f64 (exp.f64 x) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) #s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)))) |
(if (<=.f64 x #s(literal -8782019273372467/2251799813685248 binary64)) (/.f64 (exp.f64 x) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) #s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64)))) |
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) |
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) |
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #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)) (pow.f64 x #s(literal -1 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 153 |
| 1 | 214 | 153 |
| 2 | 667 | 140 |
| 3 | 2274 | 140 |
| 4 | 6433 | 140 |
| 0 | 8408 | 120 |
| 0 | 44 | 111 |
| 1 | 166 | 111 |
| 2 | 530 | 105 |
| 3 | 1942 | 105 |
| 4 | 5239 | 105 |
| 0 | 8089 | 87 |
| 0 | 20 | 84 |
| 0 | 31 | 84 |
| 1 | 111 | 84 |
| 2 | 754 | 84 |
| 0 | 8410 | 84 |
| 0 | 66 | 177 |
| 1 | 241 | 173 |
| 2 | 715 | 162 |
| 3 | 2350 | 162 |
| 4 | 6581 | 162 |
| 0 | 8462 | 140 |
| 0 | 33 | 184 |
| 0 | 45 | 180 |
| 1 | 176 | 180 |
| 2 | 1201 | 180 |
| 0 | 8279 | 170 |
| 0 | 5 | 13 |
| 0 | 8 | 13 |
| 1 | 30 | 13 |
| 2 | 177 | 13 |
| 3 | 1809 | 13 |
| 0 | 9626 | 9 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 146 to 53 computations (63.7% saved)
Compiled 318 to 128 computations (59.7% saved)
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