
Time bar (total: 3.3s)
| 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)
| 639.0ms | 8 256× | 0 | valid |
ival-exp: 72.0ms (38.1% of total)ival-div: 60.0ms (31.8% of total)ival-expm1: 52.0ms (27.5% of total)adjust: 3.0ms (1.6% of total)ival-assert: 3.0ms (1.6% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 159 | 0 | - | 1 | (-0.012741589437829253) | (-.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 | 158 | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 158 | 1 |
| - | 0 | 97 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 158 | 1 | 0 |
| - | 0 | 0 | 97 |
| number | freq |
|---|---|
| 0 | 98 |
| 1 | 158 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 25.0ms | 512× | 0 | valid |
Compiled 41 to 19 computations (53.7% saved)
ival-div: 6.0ms (42.5% of total)ival-exp: 4.0ms (28.3% of total)ival-expm1: 3.0ms (21.2% 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)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 26 |
| 1 | 24 | 26 |
| 2 | 75 | 26 |
| 3 | 243 | 26 |
| 4 | 1288 | 26 |
| 0 | 5 | 7 |
| 0 | 8 | 7 |
| 1 | 13 | 7 |
| 2 | 29 | 7 |
| 3 | 67 | 7 |
| 4 | 285 | 7 |
| 5 | 3049 | 7 |
| 0 | 8303 | 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 |
|---|---|---|
| ▶ | 42.2% | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
Compiled 7 to 5 computations (28.6% saved)
| 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 |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ 1 x))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x))) |
#s(approx (exp x) #s(hole binary64 1)) |
#s(approx (exp x) #s(hole binary64 (+ 1 x))) |
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x)))))) |
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (- (exp x) 1) #s(hole binary64 x)) |
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* 1/2 x))))) |
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))) |
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (exp x) (- (exp x) 1)))) |
#s(approx (exp x) #s(hole binary64 (exp x))) |
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((/ (exp x) (- (exp x) 1)) (exp x) x (- (exp x) 1) 1) |
| 1.0ms | x | @ | inf | ((/ (exp x) (- (exp x) 1)) (exp x) x (- (exp x) 1) 1) |
| 1.0ms | x | @ | 0 | ((/ (exp x) (- (exp x) 1)) (exp x) x (- (exp x) 1) 1) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 209 |
| 0 | 68 | 209 |
| 1 | 373 | 209 |
| 0 | 3314 | 164 |
| 1× | iter limit |
| 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) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ 1 x))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x))) |
#s(approx (exp x) #s(hole binary64 1)) |
#s(approx (exp x) #s(hole binary64 (+ 1 x))) |
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x)))))) |
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (- (exp x) 1) #s(hole binary64 x)) |
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* 1/2 x))))) |
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))) |
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (exp x) (- (exp x) 1)))) |
#s(approx (exp x) #s(hole binary64 (exp x))) |
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1))) |
| Outputs |
|---|
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (-.f64 (exp.f64 x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (exp.f64 x))) (neg.f64 (neg.f64 (expm1.f64 x)))) |
(/.f64 (neg.f64 (exp.f64 x)) (neg.f64 (expm1.f64 x))) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(neg.f64 (/.f64 (neg.f64 (exp.f64 x)) (expm1.f64 x))) |
(neg.f64 (/.f64 (exp.f64 x) (neg.f64 (expm1.f64 x)))) |
(+.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (/.f64 (sinh.f64 x) (expm1.f64 x))) |
(*.f64 (exp.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (exp.f64 x)) |
(/.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (*.f64 (sinh.f64 x) (sinh.f64 x))) (-.f64 (cosh.f64 x) (sinh.f64 x))) |
(/.f64 (+.f64 (pow.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 (*.f64 (sinh.f64 x) (sinh.f64 x)) (*.f64 (cosh.f64 x) (sinh.f64 x))))) |
(+.f64 (sinh.f64 x) (cosh.f64 x)) |
(+.f64 (cosh.f64 x) (sinh.f64 x)) |
(exp.f64 (+.f64 x #s(literal 0 binary64))) |
(exp.f64 x) |
x |
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))))) |
(/.f64 (expm1.f64 (+.f64 x x)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) |
(/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal -1 binary64)) |
(expm1.f64 (+.f64 x #s(literal 0 binary64))) |
(expm1.f64 x) |
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))))) |
(-.f64 (exp.f64 x) #s(literal 1 binary64)) |
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64))) |
(+.f64 (exp.f64 x) #s(literal -1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (exp x) (- (exp x) 1)) (pow.f64 x #s(literal -1 binary64))) |
#s(approx (/ (exp x) (- (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 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
#s(approx (exp x) #s(literal 1 binary64)) |
#s(approx (exp x) (-.f64 x #s(literal -1 binary64))) |
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
#s(approx (exp 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))) |
#s(approx x x) |
#s(approx (- (exp x) 1) x) |
#s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #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) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (exp.f64 x) (expm1.f64 x))) |
#s(approx (exp x) (exp.f64 x)) |
#s(approx (- (exp x) 1) (expm1.f64 x)) |
Compiled 785 to 184 computations (76.6% saved)
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 56 | 8 | 64 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 57 | 8 | 65 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (/.f64 (exp.f64 x) (expm1.f64 x)) |
| 98.4% | (/.f64 (exp.f64 x) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) | |
| ▶ | 97.3% | (/.f64 (exp.f64 x) #s(approx (- (exp x) 1) x)) |
| ▶ | 100.0% | (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (-.f64 (exp.f64 x) #s(literal -1 binary64))) |
| 62.6% | #s(approx (/ (exp x) (- (exp x) 1)) (pow.f64 x #s(literal -1 binary64))) | |
| ▶ | 62.7% | #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
| 62.9% | #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) | |
| ▶ | 62.9% | #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) |
Compiled 208 to 150 computations (27.9% saved)
| Inputs |
|---|
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(exp.f64 x) |
x |
(expm1.f64 x) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) |
(*.f64 x x) |
#s(literal -1/720 binary64) |
#s(literal 1/12 binary64) |
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) x)) |
#s(approx (- (exp x) 1) x) |
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (-.f64 (exp.f64 x) #s(literal -1 binary64))) |
(/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) |
(expm1.f64 (+.f64 x x)) |
(+.f64 x x) |
(-.f64 (exp.f64 x) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
| Outputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ 1 x))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x))) |
#s(approx (exp x) #s(hole binary64 1)) |
#s(approx (exp x) #s(hole binary64 (+ 1 x))) |
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x)))))) |
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (- (exp x) 1) #s(hole binary64 x)) |
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* 1/2 x))))) |
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))) |
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))) |
#s(approx (/ (+ (* 1/2 x) 1) x) #s(hole binary64 (/ 1 x))) |
#s(approx (/ (+ (* 1/2 x) 1) x) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x))) |
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 1)) |
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (+ 1 (* 1/2 x)))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (/ 1 x))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(hole binary64 1)) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* 1/2 x)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/12 x)))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))))) |
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (+ 1/2 (* 1/12 x)))) |
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) |
#s(approx (+ (* (* x x) -1/720) 1/12) #s(hole binary64 1/12)) |
#s(approx (+ (* (* x x) -1/720) 1/12) #s(hole binary64 (+ 1/12 (* -1/720 (pow x 2))))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) #s(hole binary64 (/ 1 x))) |
#s(approx (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x))) |
#s(approx (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x))) |
#s(approx (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x))) |
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(hole binary64 (/ 1/2 x))) |
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(hole binary64 (/ (+ 1/2 (* -1/12 (pow x 2))) x))) |
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(hole binary64 (/ (+ 1/2 (* (pow x 2) (- (* 7/720 (pow x 2)) 1/12))) x))) |
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(hole binary64 (/ (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 7/720 (* -31/30240 (pow x 2)))) 1/12))) x))) |
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (* 2 x))) |
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (* x (+ 2 (* 2 x))))) |
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* 4/3 x))))))) |
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* x (+ 4/3 (* 2/3 x))))))))) |
#s(approx (+ x x) #s(hole binary64 (* 2 x))) |
#s(approx (- (exp x) -1) #s(hole binary64 2)) |
#s(approx (- (exp x) -1) #s(hole binary64 (+ 2 x))) |
#s(approx (- (exp x) -1) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x)))))) |
#s(approx (- (exp x) -1) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (exp x) (- (exp x) 1)))) |
#s(approx (exp x) #s(hole binary64 (exp x))) |
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1))) |
#s(approx (/ (+ (* 1/2 x) 1) x) #s(hole binary64 1/2)) |
#s(approx (/ (+ (* 1/2 x) 1) x) #s(hole binary64 (+ 1/2 (/ 1 x)))) |
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* 1/2 x))) |
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* x (+ 1/2 (/ 1 x))))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (* -1/720 (pow x 3)))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720)))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720)))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(hole binary64 (* -1/720 (pow x 4)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(hole binary64 (* (pow x 4) (- (* 1/12 (/ 1 (pow x 2))) 1/720)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(hole binary64 (* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(hole binary64 (* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720)))) |
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (* -1/720 (pow x 3)))) |
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720)))) |
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720)))) |
#s(approx (+ (* (* x x) -1/720) 1/12) #s(hole binary64 (* -1/720 (pow x 2)))) |
#s(approx (+ (* (* x x) -1/720) 1/12) #s(hole binary64 (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)))) |
#s(approx (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) #s(hole binary64 (/ (* (exp x) (+ 1 (exp x))) (- (exp (* 2 x)) 1)))) |
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(hole binary64 (/ (exp x) (- (exp (* 2 x)) 1)))) |
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (- (exp (* 2 x)) 1))) |
#s(approx (- (exp x) -1) #s(hole binary64 (+ 1 (exp x)))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2)))))))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2)))))))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2)))))))) |
#s(approx (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) #s(hole binary64 (/ (* (exp x) (+ 1 (exp x))) (- (exp (neg (* -2 x))) 1)))) |
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(hole binary64 (/ (exp x) (- (exp (neg (* -2 x))) 1)))) |
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (- (exp (neg (* -2 x))) 1))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | -inf | ((/ (exp x) (- (exp x) 1)) (exp x) x (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (/ (+ (* 1/2 x) 1) x) (+ (* 1/2 x) 1) 1/2 1 (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (+ (* (* x x) -1/720) 1/12) (* x x) -1/720 1/12 (/ (exp x) (- (exp x) 1)) (- (exp x) 1) (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) (/ (exp x) (- (exp (+ x x)) 1)) (- (exp (+ x x)) 1) (+ x x) (- (exp x) -1) -1) |
| 4.0ms | x | @ | inf | ((/ (exp x) (- (exp x) 1)) (exp x) x (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (/ (+ (* 1/2 x) 1) x) (+ (* 1/2 x) 1) 1/2 1 (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (+ (* (* x x) -1/720) 1/12) (* x x) -1/720 1/12 (/ (exp x) (- (exp x) 1)) (- (exp x) 1) (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) (/ (exp x) (- (exp (+ x x)) 1)) (- (exp (+ x x)) 1) (+ x x) (- (exp x) -1) -1) |
| 3.0ms | x | @ | 0 | ((/ (exp x) (- (exp x) 1)) (exp x) x (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (/ (+ (* 1/2 x) 1) x) (+ (* 1/2 x) 1) 1/2 1 (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (+ (* (* x x) -1/720) 1/12) (* x x) -1/720 1/12 (/ (exp x) (- (exp x) 1)) (- (exp x) 1) (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) (/ (exp x) (- (exp (+ x x)) 1)) (- (exp (+ x x)) 1) (+ x x) (- (exp x) -1) -1) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 253 | 1548 |
| 0 | 282 | 1466 |
| 1 | 1262 | 1463 |
| 0 | 8298 | 1424 |
| 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 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) |
(*.f64 x x) |
#s(literal -1/720 binary64) |
#s(literal 1/12 binary64) |
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) x)) |
#s(approx (- (exp x) 1) x) |
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (-.f64 (exp.f64 x) #s(literal -1 binary64))) |
(/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) |
(expm1.f64 (+.f64 x x)) |
(+.f64 x x) |
(-.f64 (exp.f64 x) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ 1 x))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x))) |
#s(approx (exp x) #s(hole binary64 1)) |
#s(approx (exp x) #s(hole binary64 (+ 1 x))) |
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x)))))) |
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (- (exp x) 1) #s(hole binary64 x)) |
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* 1/2 x))))) |
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))) |
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))) |
#s(approx (/ (+ (* 1/2 x) 1) x) #s(hole binary64 (/ 1 x))) |
#s(approx (/ (+ (* 1/2 x) 1) x) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x))) |
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 1)) |
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (+ 1 (* 1/2 x)))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (/ 1 x))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(hole binary64 1)) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* 1/2 x)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/12 x)))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))))) |
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (+ 1/2 (* 1/12 x)))) |
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) |
#s(approx (+ (* (* x x) -1/720) 1/12) #s(hole binary64 1/12)) |
#s(approx (+ (* (* x x) -1/720) 1/12) #s(hole binary64 (+ 1/12 (* -1/720 (pow x 2))))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) #s(hole binary64 (/ 1 x))) |
#s(approx (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x))) |
#s(approx (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x))) |
#s(approx (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x))) |
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(hole binary64 (/ 1/2 x))) |
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(hole binary64 (/ (+ 1/2 (* -1/12 (pow x 2))) x))) |
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(hole binary64 (/ (+ 1/2 (* (pow x 2) (- (* 7/720 (pow x 2)) 1/12))) x))) |
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(hole binary64 (/ (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 7/720 (* -31/30240 (pow x 2)))) 1/12))) x))) |
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (* 2 x))) |
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (* x (+ 2 (* 2 x))))) |
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* 4/3 x))))))) |
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* x (+ 4/3 (* 2/3 x))))))))) |
#s(approx (+ x x) #s(hole binary64 (* 2 x))) |
#s(approx (- (exp x) -1) #s(hole binary64 2)) |
#s(approx (- (exp x) -1) #s(hole binary64 (+ 2 x))) |
#s(approx (- (exp x) -1) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x)))))) |
#s(approx (- (exp x) -1) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (exp x) (- (exp x) 1)))) |
#s(approx (exp x) #s(hole binary64 (exp x))) |
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1))) |
#s(approx (/ (+ (* 1/2 x) 1) x) #s(hole binary64 1/2)) |
#s(approx (/ (+ (* 1/2 x) 1) x) #s(hole binary64 (+ 1/2 (/ 1 x)))) |
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* 1/2 x))) |
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* x (+ 1/2 (/ 1 x))))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (* -1/720 (pow x 3)))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720)))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720)))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(hole binary64 (* -1/720 (pow x 4)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(hole binary64 (* (pow x 4) (- (* 1/12 (/ 1 (pow x 2))) 1/720)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(hole binary64 (* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(hole binary64 (* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720)))) |
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (* -1/720 (pow x 3)))) |
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720)))) |
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720)))) |
#s(approx (+ (* (* x x) -1/720) 1/12) #s(hole binary64 (* -1/720 (pow x 2)))) |
#s(approx (+ (* (* x x) -1/720) 1/12) #s(hole binary64 (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)))) |
#s(approx (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) #s(hole binary64 (/ (* (exp x) (+ 1 (exp x))) (- (exp (* 2 x)) 1)))) |
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(hole binary64 (/ (exp x) (- (exp (* 2 x)) 1)))) |
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (- (exp (* 2 x)) 1))) |
#s(approx (- (exp x) -1) #s(hole binary64 (+ 1 (exp x)))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2)))))))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2)))))))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2)))))))) |
#s(approx (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) #s(hole binary64 (/ (* (exp x) (+ 1 (exp x))) (- (exp (neg (* -2 x))) 1)))) |
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(hole binary64 (/ (exp x) (- (exp (neg (* -2 x))) 1)))) |
#s(approx (- (exp (+ x x)) 1) #s(hole binary64 (- (exp (neg (* -2 x))) 1))) |
| Outputs |
|---|
(/.f64 (neg.f64 (neg.f64 (exp.f64 x))) (neg.f64 (neg.f64 (expm1.f64 x)))) |
(/.f64 (neg.f64 (exp.f64 x)) (neg.f64 (expm1.f64 x))) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(neg.f64 (/.f64 (neg.f64 (exp.f64 x)) (expm1.f64 x))) |
(neg.f64 (/.f64 (exp.f64 x) (neg.f64 (expm1.f64 x)))) |
(+.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (/.f64 (sinh.f64 x) (expm1.f64 x))) |
(/.f64 (-.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (*.f64 (sinh.f64 x) (sinh.f64 x))) (-.f64 (cosh.f64 x) (sinh.f64 x))) |
(/.f64 (+.f64 (pow.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 (*.f64 (sinh.f64 x) (sinh.f64 x)) (*.f64 (cosh.f64 x) (sinh.f64 x))))) |
(+.f64 (cosh.f64 x) (sinh.f64 x)) |
(exp.f64 x) |
x |
(/.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal 1 binary64)))))) |
(/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal -1 binary64))))) |
(/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) |
(expm1.f64 x) |
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal 1 binary64)))))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(-.f64 (exp.f64 x) #s(literal 1 binary64)) |
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(*.f64 (exp.f64 x) (/.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (exp.f64 x)) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64)) (neg.f64 (exp.f64 x))) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal -1 binary64)))) (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64)) (exp.f64 x)) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal -1 binary64)))) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (neg.f64 (exp.f64 x))) (*.f64 (expm1.f64 x) (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x))))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (exp.f64 x)) (*.f64 (expm1.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) |
(/.f64 (*.f64 (neg.f64 (exp.f64 x)) (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64))) (*.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal -1 binary64)))))) |
(/.f64 (*.f64 (neg.f64 (exp.f64 x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (*.f64 (neg.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 3 binary64)) #s(literal -1 binary64))) (*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (exp.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 (neg.f64 (exp.f64 x)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) |
(/.f64 (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 (exp.f64 x)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) |
(neg.f64 (/.f64 (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x)) (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x))))) |
(+.f64 (/.f64 (*.f64 (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) |
(+.f64 (/.f64 (*.f64 #s(literal 1 binary64) (exp.f64 x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) |
(/.f64 (neg.f64 (neg.f64 (exp.f64 x))) (neg.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x))))) |
(/.f64 (neg.f64 (exp.f64 x)) (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) |
(/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) |
(neg.f64 (/.f64 (neg.f64 (exp.f64 x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) |
(neg.f64 (/.f64 (exp.f64 x) (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x))))) |
(+.f64 (/.f64 (cosh.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (/.f64 (sinh.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) |
(*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (expm1.f64 x)) |
(*.f64 (expm1.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))))))) |
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64))) |
(/.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))) |
(/.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)))))) |
(fma.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) |
(fma.f64 (fabs.f64 (exp.f64 x)) (fabs.f64 (exp.f64 x)) #s(literal -1 binary64)) |
(fma.f64 (neg.f64 (exp.f64 x)) (neg.f64 (exp.f64 x)) #s(literal -1 binary64)) |
(fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -1 binary64)) |
(expm1.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) x))) |
(expm1.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) x)) |
(expm1.f64 (*.f64 #s(literal 2 binary64) x)) |
(-.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))))))) |
(-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(+.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(*.f64 (neg.f64 x) #s(literal -2 binary64)) |
(*.f64 #s(literal -2 binary64) (neg.f64 x)) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 x #s(literal 2 binary64)) |
(/.f64 (neg.f64 (fma.f64 x x (*.f64 (neg.f64 x) x))) (neg.f64 (-.f64 x x))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (fma.f64 x x (*.f64 (neg.f64 x) x))))) |
(/.f64 (fma.f64 x x (*.f64 (neg.f64 x) x)) (-.f64 x x)) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (fma.f64 x x (*.f64 (neg.f64 x) x)))) |
(neg.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x))) |
(neg.f64 (*.f64 #s(literal -2 binary64) x)) |
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 1 binary64) x)) |
(fma.f64 x #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x x)) (/.f64 (*.f64 x x) (-.f64 x x))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 x x (*.f64 (neg.f64 x) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 x x (*.f64 (neg.f64 x) x))))) |
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x)) |
(+.f64 x x) |
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) (*.f64 #s(literal -1 binary64) (exp.f64 x)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal -1 binary64)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 x))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal -1 binary64))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) (*.f64 #s(literal -1 binary64) (exp.f64 x))))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (neg.f64 (expm1.f64 x))) |
(/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 x)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal -1 binary64)))))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x))) |
(-.f64 (exp.f64 x) #s(literal -1 binary64)) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) (*.f64 #s(literal -1 binary64) (exp.f64 x))))) (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) (*.f64 #s(literal -1 binary64) (exp.f64 x)))))) |
(+.f64 #s(literal 1 binary64) (exp.f64 x)) |
(+.f64 (exp.f64 x) #s(literal 1 binary64)) |
#s(literal -1 binary64) |
#s(approx (/ (exp x) (- (exp x) 1)) (pow.f64 x #s(literal -1 binary64))) |
#s(approx (/ (exp x) (- (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 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
#s(approx (exp x) #s(literal 1 binary64)) |
#s(approx (exp x) (-.f64 x #s(literal -1 binary64))) |
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
#s(approx (exp 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))) |
#s(approx x x) |
#s(approx (- (exp x) 1) x) |
#s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #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) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
#s(approx (/ (+ (* 1/2 x) 1) x) (pow.f64 x #s(literal -1 binary64))) |
#s(approx (/ (+ (* 1/2 x) 1) x) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) |
#s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) |
#s(approx (+ (* 1/2 x) 1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) (pow.f64 x #s(literal -1 binary64))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(literal 1/2 binary64)) |
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))) |
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64))) |
#s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) |
#s(approx (+ (* (* x x) -1/720) 1/12) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))) |
#s(approx (* x x) (*.f64 x x)) |
#s(approx (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) (pow.f64 x #s(literal -1 binary64))) |
#s(approx (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) |
#s(approx (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
#s(approx (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) (/.f64 #s(literal 1/2 binary64) x)) |
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) (/.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)) |
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 7/720 binary64) (*.f64 x x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) |
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -31/30240 binary64) (*.f64 x x) #s(literal 7/720 binary64)) (*.f64 x x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) |
#s(approx (- (exp (+ x x)) 1) (*.f64 #s(literal 2 binary64) x)) |
#s(approx (- (exp (+ x x)) 1) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x)) |
#s(approx (- (exp (+ x x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x)) |
#s(approx (- (exp (+ x x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) x #s(literal 4/3 binary64)) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x)) |
#s(approx (+ x x) (*.f64 #s(literal 2 binary64) x)) |
#s(approx (- (exp x) -1) #s(literal 2 binary64)) |
#s(approx (- (exp x) -1) (+.f64 #s(literal 2 binary64) x)) |
#s(approx (- (exp x) -1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))) |
#s(approx (- (exp x) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (exp.f64 x) (expm1.f64 x))) |
#s(approx (exp x) (exp.f64 x)) |
#s(approx (- (exp x) 1) (expm1.f64 x)) |
#s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (* 1/2 x) 1) x) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
#s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (+ (* 1/2 x) 1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64)) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) (*.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/720 binary64))) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64)) #s(literal 1/720 binary64)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/720 binary64)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/720 binary64))) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64))) |
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64)) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (*.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (+ (* (* x x) -1/720) 1/12) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))) |
#s(approx (+ (* (* x x) -1/720) 1/12) (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64)) #s(literal 1/720 binary64)) (*.f64 x x))) |
#s(approx (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x))))) |
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) |
#s(approx (- (exp (+ x x)) 1) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) |
#s(approx (- (exp x) -1) (-.f64 (exp.f64 x) #s(literal -1 binary64))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64))))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 #s(literal 1/720 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) (*.f64 x x))))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (-.f64 #s(literal 1/720 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64))))) |
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64))))) |
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 #s(literal 1/720 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) (*.f64 x x))))) |
#s(approx (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x))))) |
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) |
#s(approx (- (exp (+ x x)) 1) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) |
Compiled 9 384 to 1 497 computations (84% saved)
13 alts after pruning (8 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 378 | 8 | 386 |
| Fresh | 3 | 0 | 3 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 0 | 0 |
| Total | 381 | 13 | 394 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (exp.f64 x) (expm1.f64 x)) |
| ✓ | 97.3% | (/.f64 (exp.f64 x) #s(approx (- (exp x) 1) x)) |
| ▶ | 61.8% | (/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) x)) |
| 62.6% | (/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) x)) | |
| ✓ | 100.0% | (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (-.f64 (exp.f64 x) #s(literal -1 binary64))) |
| ▶ | 62.7% | (*.f64 #s(approx (/ (exp x) (- (exp (+ x x)) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -31/30240 binary64) (*.f64 x x) #s(literal 7/720 binary64)) (*.f64 x x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) |
| ✓ | 62.7% | #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
| 62.9% | #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) | |
| 33.4% | #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x) x (*.f64 x #s(literal 1 binary64))) (*.f64 x x))) | |
| ▶ | 33.3% | #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (*.f64 x #s(literal 1 binary64))) (*.f64 x x))) |
| ✓ | 62.9% | #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) |
| ▶ | 63.0% | #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))) |
| ▶ | 3.2% | #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64))) |
Compiled 398 to 270 computations (32.2% saved)
| Inputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (* 1/2 x) 1) x) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
(-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
#s(literal -1/2 binary64) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) x)) |
#s(approx (exp x) (-.f64 x #s(literal -1 binary64))) |
(-.f64 x #s(literal -1 binary64)) |
#s(approx (- (exp x) 1) x) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (*.f64 x #s(literal 1 binary64))) (*.f64 x x))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (*.f64 x #s(literal 1 binary64))) (*.f64 x x)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (*.f64 x #s(literal 1 binary64))) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 x x) |
(*.f64 #s(approx (/ (exp x) (- (exp (+ x x)) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -31/30240 binary64) (*.f64 x x) #s(literal 7/720 binary64)) (*.f64 x x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) |
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -31/30240 binary64) (*.f64 x x) #s(literal 7/720 binary64)) (*.f64 x x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -31/30240 binary64) (*.f64 x x) #s(literal 7/720 binary64)) (*.f64 x x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -31/30240 binary64) (*.f64 x x) #s(literal 7/720 binary64)) (*.f64 x x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 #s(literal -31/30240 binary64) (*.f64 x x) #s(literal 7/720 binary64)) (*.f64 x x) #s(literal -1/12 binary64)) |
(fma.f64 #s(literal -31/30240 binary64) (*.f64 x x) #s(literal 7/720 binary64)) |
#s(literal -31/30240 binary64) |
#s(literal 7/720 binary64) |
#s(literal -1/12 binary64) |
(-.f64 (exp.f64 x) #s(literal -1 binary64)) |
(exp.f64 x) |
| Outputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ 1 x))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x))) |
#s(approx (/ (+ (* 1/2 x) 1) x) #s(hole binary64 (/ 1 x))) |
#s(approx (/ (+ (* 1/2 x) 1) x) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x))) |
#s(approx (- (pow x -1) -1/2) #s(hole binary64 (/ 1 x))) |
#s(approx (- (pow x -1) -1/2) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x))) |
#s(approx (pow x -1) #s(hole binary64 (/ 1 x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (exp x) #s(hole binary64 1)) |
#s(approx (exp x) #s(hole binary64 (+ 1 x))) |
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x)))))) |
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))) |
#s(approx (- x -1) #s(hole binary64 1)) |
#s(approx (- x -1) #s(hole binary64 (+ 1 x))) |
#s(approx (- (exp x) 1) #s(hole binary64 x)) |
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* 1/2 x))))) |
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))) |
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))) |
#s(approx (/ (+ (* (* 1/2 x) x) (* x 1)) (* x x)) #s(hole binary64 (/ 1 x))) |
#s(approx (/ (+ (* (* 1/2 x) x) (* x 1)) (* x x)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x))) |
#s(approx (+ (* (* 1/2 x) x) (* x 1)) #s(hole binary64 x)) |
#s(approx (+ (* (* 1/2 x) x) (* x 1)) #s(hole binary64 (* x (+ 1 (* 1/2 x))))) |
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x))) |
#s(approx (* x 1) #s(hole binary64 x)) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) #s(hole binary64 (/ 1 x))) |
#s(approx (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x))) |
#s(approx (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x))) |
#s(approx (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x))) |
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(hole binary64 (/ 1/2 x))) |
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(hole binary64 (/ (+ 1/2 (* -1/12 (pow x 2))) x))) |
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(hole binary64 (/ (+ 1/2 (* (pow x 2) (- (* 7/720 (pow x 2)) 1/12))) x))) |
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(hole binary64 (/ (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 7/720 (* -31/30240 (pow x 2)))) 1/12))) x))) |
#s(approx (/ (+ (* (+ (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) -1/12) (* x x)) 1/2) x) #s(hole binary64 (/ 1/2 x))) |
#s(approx (/ (+ (* (+ (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) -1/12) (* x x)) 1/2) x) #s(hole binary64 (/ (+ 1/2 (* -1/12 (pow x 2))) x))) |
#s(approx (/ (+ (* (+ (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) -1/12) (* x x)) 1/2) x) #s(hole binary64 (/ (+ 1/2 (* (pow x 2) (- (* 7/720 (pow x 2)) 1/12))) x))) |
#s(approx (/ (+ (* (+ (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) -1/12) (* x x)) 1/2) x) #s(hole binary64 (/ (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 7/720 (* -31/30240 (pow x 2)))) 1/12))) x))) |
#s(approx (+ (* (+ (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) -1/12) (* x x)) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* (+ (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) -1/12) (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* -1/12 (pow x 2))))) |
#s(approx (+ (* (+ (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) -1/12) (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 7/720 (pow x 2)) 1/12))))) |
#s(approx (+ (* (+ (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) -1/12) (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 7/720 (* -31/30240 (pow x 2)))) 1/12))))) |
#s(approx (+ (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) -1/12) #s(hole binary64 -1/12)) |
#s(approx (+ (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) -1/12) #s(hole binary64 (- (* 7/720 (pow x 2)) 1/12))) |
#s(approx (+ (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) -1/12) #s(hole binary64 (- (* (pow x 2) (+ 7/720 (* -31/30240 (pow x 2)))) 1/12))) |
#s(approx (+ (* -31/30240 (* x x)) 7/720) #s(hole binary64 7/720)) |
#s(approx (+ (* -31/30240 (* x x)) 7/720) #s(hole binary64 (+ 7/720 (* -31/30240 (pow x 2))))) |
#s(approx (- (exp x) -1) #s(hole binary64 2)) |
#s(approx (- (exp x) -1) #s(hole binary64 (+ 2 x))) |
#s(approx (- (exp x) -1) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x)))))) |
#s(approx (- (exp x) -1) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (exp x) (- (exp x) 1)))) |
#s(approx (/ (+ (* 1/2 x) 1) x) #s(hole binary64 1/2)) |
#s(approx (/ (+ (* 1/2 x) 1) x) #s(hole binary64 (+ 1/2 (/ 1 x)))) |
#s(approx (- (pow x -1) -1/2) #s(hole binary64 1/2)) |
#s(approx (- (pow x -1) -1/2) #s(hole binary64 (+ 1/2 (/ 1 x)))) |
#s(approx (exp x) #s(hole binary64 (exp x))) |
#s(approx (- x -1) #s(hole binary64 x)) |
#s(approx (- x -1) #s(hole binary64 (* x (+ 1 (/ 1 x))))) |
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1))) |
#s(approx (/ (+ (* (* 1/2 x) x) (* x 1)) (* x x)) #s(hole binary64 1/2)) |
#s(approx (/ (+ (* (* 1/2 x) x) (* x 1)) (* x x)) #s(hole binary64 (+ 1/2 (/ 1 x)))) |
#s(approx (+ (* (* 1/2 x) x) (* x 1)) #s(hole binary64 (* 1/2 (pow x 2)))) |
#s(approx (+ (* (* 1/2 x) x) (* x 1)) #s(hole binary64 (* (pow x 2) (+ 1/2 (/ 1 x))))) |
#s(approx (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) #s(hole binary64 (/ (* (exp x) (+ 1 (exp x))) (- (exp (* 2 x)) 1)))) |
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(hole binary64 (/ (exp x) (- (exp (* 2 x)) 1)))) |
#s(approx (/ (+ (* (+ (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) -1/12) (* x x)) 1/2) x) #s(hole binary64 (* -31/30240 (pow x 5)))) |
#s(approx (/ (+ (* (+ (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) -1/12) (* x x)) 1/2) x) #s(hole binary64 (* (pow x 5) (- (* 7/720 (/ 1 (pow x 2))) 31/30240)))) |
#s(approx (/ (+ (* (+ (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) -1/12) (* x x)) 1/2) x) #s(hole binary64 (* (pow x 5) (- (* 7/720 (/ 1 (pow x 2))) (+ 31/30240 (/ 1/12 (pow x 4))))))) |
#s(approx (/ (+ (* (+ (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) -1/12) (* x x)) 1/2) x) #s(hole binary64 (* (pow x 5) (- (+ (* 7/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 31/30240 (/ 1/12 (pow x 4))))))) |
#s(approx (+ (* (+ (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) -1/12) (* x x)) 1/2) #s(hole binary64 (* -31/30240 (pow x 6)))) |
#s(approx (+ (* (+ (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) -1/12) (* x x)) 1/2) #s(hole binary64 (* (pow x 6) (- (* 7/720 (/ 1 (pow x 2))) 31/30240)))) |
#s(approx (+ (* (+ (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) -1/12) (* x x)) 1/2) #s(hole binary64 (* (pow x 6) (- (* 7/720 (/ 1 (pow x 2))) (+ 31/30240 (/ 1/12 (pow x 4))))))) |
#s(approx (+ (* (+ (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) -1/12) (* x x)) 1/2) #s(hole binary64 (* (pow x 6) (- (+ (* 7/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 31/30240 (/ 1/12 (pow x 4))))))) |
#s(approx (+ (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) -1/12) #s(hole binary64 (* -31/30240 (pow x 4)))) |
#s(approx (+ (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) -1/12) #s(hole binary64 (* (pow x 4) (- (* 7/720 (/ 1 (pow x 2))) 31/30240)))) |
#s(approx (+ (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) -1/12) #s(hole binary64 (* (pow x 4) (- (* 7/720 (/ 1 (pow x 2))) (+ 31/30240 (/ 1/12 (pow x 4))))))) |
#s(approx (+ (* -31/30240 (* x x)) 7/720) #s(hole binary64 (* -31/30240 (pow x 2)))) |
#s(approx (+ (* -31/30240 (* x x)) 7/720) #s(hole binary64 (* (pow x 2) (- (* 7/720 (/ 1 (pow x 2))) 31/30240)))) |
#s(approx (- (exp x) -1) #s(hole binary64 (+ 1 (exp x)))) |
#s(approx (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) #s(hole binary64 (/ (* (exp x) (+ 1 (exp x))) (- (exp (neg (* -2 x))) 1)))) |
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(hole binary64 (/ (exp x) (- (exp (neg (* -2 x))) 1)))) |
#s(approx (/ (+ (* (+ (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) -1/12) (* x x)) 1/2) x) #s(hole binary64 (* -1 (* (pow x 5) (- 31/30240 (* 7/720 (/ 1 (pow x 2)))))))) |
#s(approx (/ (+ (* (+ (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) -1/12) (* x x)) 1/2) x) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 31/30240 (/ 1/12 (pow x 4))) (* 7/720 (/ 1 (pow x 2)))))))) |
#s(approx (/ (+ (* (+ (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) -1/12) (* x x)) 1/2) x) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 31/30240 (/ 1/12 (pow x 4))) (+ (* 7/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6))))))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 20.0ms | x | @ | -inf | ((/ (exp x) (- (exp x) 1)) (/ (+ (* 1/2 x) 1) x) (- (pow x -1) -1/2) (pow x -1) x -1 -1/2 (/ (exp x) (- (exp x) 1)) (/ (+ (* 1/2 x) 1) x) 1/2 (/ (exp x) (- (exp x) 1)) (exp x) (- x -1) (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (/ (+ (* (* 1/2 x) x) (* x 1)) (* x x)) (+ (* (* 1/2 x) x) (* x 1)) (* 1/2 x) (* x 1) 1 (* x x) (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) (/ (exp x) (- (exp (+ x x)) 1)) (/ (+ (* (+ (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) -1/12) (* x x)) 1/2) x) (+ (* (+ (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) -1/12) (* x x)) 1/2) (+ (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) -1/12) (+ (* -31/30240 (* x x)) 7/720) -31/30240 7/720 -1/12 (- (exp x) -1) (exp x)) |
| 3.0ms | x | @ | inf | ((/ (exp x) (- (exp x) 1)) (/ (+ (* 1/2 x) 1) x) (- (pow x -1) -1/2) (pow x -1) x -1 -1/2 (/ (exp x) (- (exp x) 1)) (/ (+ (* 1/2 x) 1) x) 1/2 (/ (exp x) (- (exp x) 1)) (exp x) (- x -1) (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (/ (+ (* (* 1/2 x) x) (* x 1)) (* x x)) (+ (* (* 1/2 x) x) (* x 1)) (* 1/2 x) (* x 1) 1 (* x x) (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) (/ (exp x) (- (exp (+ x x)) 1)) (/ (+ (* (+ (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) -1/12) (* x x)) 1/2) x) (+ (* (+ (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) -1/12) (* x x)) 1/2) (+ (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) -1/12) (+ (* -31/30240 (* x x)) 7/720) -31/30240 7/720 -1/12 (- (exp x) -1) (exp x)) |
| 2.0ms | x | @ | 0 | ((/ (exp x) (- (exp x) 1)) (/ (+ (* 1/2 x) 1) x) (- (pow x -1) -1/2) (pow x -1) x -1 -1/2 (/ (exp x) (- (exp x) 1)) (/ (+ (* 1/2 x) 1) x) 1/2 (/ (exp x) (- (exp x) 1)) (exp x) (- x -1) (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (/ (+ (* (* 1/2 x) x) (* x 1)) (* x x)) (+ (* (* 1/2 x) x) (* x 1)) (* 1/2 x) (* x 1) 1 (* x x) (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) (/ (exp x) (- (exp (+ x x)) 1)) (/ (+ (* (+ (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) -1/12) (* x x)) 1/2) x) (+ (* (+ (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) -1/12) (* x x)) 1/2) (+ (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) -1/12) (+ (* -31/30240 (* x x)) 7/720) -31/30240 7/720 -1/12 (- (exp x) -1) (exp x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 256 | 1882 |
| 0 | 283 | 1792 |
| 1 | 1179 | 563 |
| 0 | 13093 | 493 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (* 1/2 x) 1) x) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
(-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
#s(literal -1/2 binary64) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) x)) |
#s(approx (exp x) (-.f64 x #s(literal -1 binary64))) |
(-.f64 x #s(literal -1 binary64)) |
#s(approx (- (exp x) 1) x) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (*.f64 x #s(literal 1 binary64))) (*.f64 x x))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (*.f64 x #s(literal 1 binary64))) (*.f64 x x)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (*.f64 x #s(literal 1 binary64))) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 x x) |
(*.f64 #s(approx (/ (exp x) (- (exp (+ x x)) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -31/30240 binary64) (*.f64 x x) #s(literal 7/720 binary64)) (*.f64 x x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) |
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -31/30240 binary64) (*.f64 x x) #s(literal 7/720 binary64)) (*.f64 x x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -31/30240 binary64) (*.f64 x x) #s(literal 7/720 binary64)) (*.f64 x x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -31/30240 binary64) (*.f64 x x) #s(literal 7/720 binary64)) (*.f64 x x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 #s(literal -31/30240 binary64) (*.f64 x x) #s(literal 7/720 binary64)) (*.f64 x x) #s(literal -1/12 binary64)) |
(fma.f64 #s(literal -31/30240 binary64) (*.f64 x x) #s(literal 7/720 binary64)) |
#s(literal -31/30240 binary64) |
#s(literal 7/720 binary64) |
#s(literal -1/12 binary64) |
(-.f64 (exp.f64 x) #s(literal -1 binary64)) |
(exp.f64 x) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ 1 x))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x))) |
#s(approx (/ (+ (* 1/2 x) 1) x) #s(hole binary64 (/ 1 x))) |
#s(approx (/ (+ (* 1/2 x) 1) x) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x))) |
#s(approx (- (pow x -1) -1/2) #s(hole binary64 (/ 1 x))) |
#s(approx (- (pow x -1) -1/2) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x))) |
#s(approx (pow x -1) #s(hole binary64 (/ 1 x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (exp x) #s(hole binary64 1)) |
#s(approx (exp x) #s(hole binary64 (+ 1 x))) |
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x)))))) |
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))) |
#s(approx (- x -1) #s(hole binary64 1)) |
#s(approx (- x -1) #s(hole binary64 (+ 1 x))) |
#s(approx (- (exp x) 1) #s(hole binary64 x)) |
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* 1/2 x))))) |
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))) |
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))) |
#s(approx (/ (+ (* (* 1/2 x) x) (* x 1)) (* x x)) #s(hole binary64 (/ 1 x))) |
#s(approx (/ (+ (* (* 1/2 x) x) (* x 1)) (* x x)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x))) |
#s(approx (+ (* (* 1/2 x) x) (* x 1)) #s(hole binary64 x)) |
#s(approx (+ (* (* 1/2 x) x) (* x 1)) #s(hole binary64 (* x (+ 1 (* 1/2 x))))) |
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x))) |
#s(approx (* x 1) #s(hole binary64 x)) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) #s(hole binary64 (/ 1 x))) |
#s(approx (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x))) |
#s(approx (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x))) |
#s(approx (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x))) |
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(hole binary64 (/ 1/2 x))) |
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(hole binary64 (/ (+ 1/2 (* -1/12 (pow x 2))) x))) |
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(hole binary64 (/ (+ 1/2 (* (pow x 2) (- (* 7/720 (pow x 2)) 1/12))) x))) |
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(hole binary64 (/ (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 7/720 (* -31/30240 (pow x 2)))) 1/12))) x))) |
#s(approx (/ (+ (* (+ (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) -1/12) (* x x)) 1/2) x) #s(hole binary64 (/ 1/2 x))) |
#s(approx (/ (+ (* (+ (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) -1/12) (* x x)) 1/2) x) #s(hole binary64 (/ (+ 1/2 (* -1/12 (pow x 2))) x))) |
#s(approx (/ (+ (* (+ (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) -1/12) (* x x)) 1/2) x) #s(hole binary64 (/ (+ 1/2 (* (pow x 2) (- (* 7/720 (pow x 2)) 1/12))) x))) |
#s(approx (/ (+ (* (+ (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) -1/12) (* x x)) 1/2) x) #s(hole binary64 (/ (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 7/720 (* -31/30240 (pow x 2)))) 1/12))) x))) |
#s(approx (+ (* (+ (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) -1/12) (* x x)) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* (+ (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) -1/12) (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* -1/12 (pow x 2))))) |
#s(approx (+ (* (+ (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) -1/12) (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 7/720 (pow x 2)) 1/12))))) |
#s(approx (+ (* (+ (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) -1/12) (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 7/720 (* -31/30240 (pow x 2)))) 1/12))))) |
#s(approx (+ (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) -1/12) #s(hole binary64 -1/12)) |
#s(approx (+ (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) -1/12) #s(hole binary64 (- (* 7/720 (pow x 2)) 1/12))) |
#s(approx (+ (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) -1/12) #s(hole binary64 (- (* (pow x 2) (+ 7/720 (* -31/30240 (pow x 2)))) 1/12))) |
#s(approx (+ (* -31/30240 (* x x)) 7/720) #s(hole binary64 7/720)) |
#s(approx (+ (* -31/30240 (* x x)) 7/720) #s(hole binary64 (+ 7/720 (* -31/30240 (pow x 2))))) |
#s(approx (- (exp x) -1) #s(hole binary64 2)) |
#s(approx (- (exp x) -1) #s(hole binary64 (+ 2 x))) |
#s(approx (- (exp x) -1) #s(hole binary64 (+ 2 (* x (+ 1 (* 1/2 x)))))) |
#s(approx (- (exp x) -1) #s(hole binary64 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (exp x) (- (exp x) 1)))) |
#s(approx (/ (+ (* 1/2 x) 1) x) #s(hole binary64 1/2)) |
#s(approx (/ (+ (* 1/2 x) 1) x) #s(hole binary64 (+ 1/2 (/ 1 x)))) |
#s(approx (- (pow x -1) -1/2) #s(hole binary64 1/2)) |
#s(approx (- (pow x -1) -1/2) #s(hole binary64 (+ 1/2 (/ 1 x)))) |
#s(approx (exp x) #s(hole binary64 (exp x))) |
#s(approx (- x -1) #s(hole binary64 x)) |
#s(approx (- x -1) #s(hole binary64 (* x (+ 1 (/ 1 x))))) |
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1))) |
#s(approx (/ (+ (* (* 1/2 x) x) (* x 1)) (* x x)) #s(hole binary64 1/2)) |
#s(approx (/ (+ (* (* 1/2 x) x) (* x 1)) (* x x)) #s(hole binary64 (+ 1/2 (/ 1 x)))) |
#s(approx (+ (* (* 1/2 x) x) (* x 1)) #s(hole binary64 (* 1/2 (pow x 2)))) |
#s(approx (+ (* (* 1/2 x) x) (* x 1)) #s(hole binary64 (* (pow x 2) (+ 1/2 (/ 1 x))))) |
#s(approx (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) #s(hole binary64 (/ (* (exp x) (+ 1 (exp x))) (- (exp (* 2 x)) 1)))) |
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(hole binary64 (/ (exp x) (- (exp (* 2 x)) 1)))) |
#s(approx (/ (+ (* (+ (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) -1/12) (* x x)) 1/2) x) #s(hole binary64 (* -31/30240 (pow x 5)))) |
#s(approx (/ (+ (* (+ (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) -1/12) (* x x)) 1/2) x) #s(hole binary64 (* (pow x 5) (- (* 7/720 (/ 1 (pow x 2))) 31/30240)))) |
#s(approx (/ (+ (* (+ (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) -1/12) (* x x)) 1/2) x) #s(hole binary64 (* (pow x 5) (- (* 7/720 (/ 1 (pow x 2))) (+ 31/30240 (/ 1/12 (pow x 4))))))) |
#s(approx (/ (+ (* (+ (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) -1/12) (* x x)) 1/2) x) #s(hole binary64 (* (pow x 5) (- (+ (* 7/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 31/30240 (/ 1/12 (pow x 4))))))) |
#s(approx (+ (* (+ (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) -1/12) (* x x)) 1/2) #s(hole binary64 (* -31/30240 (pow x 6)))) |
#s(approx (+ (* (+ (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) -1/12) (* x x)) 1/2) #s(hole binary64 (* (pow x 6) (- (* 7/720 (/ 1 (pow x 2))) 31/30240)))) |
#s(approx (+ (* (+ (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) -1/12) (* x x)) 1/2) #s(hole binary64 (* (pow x 6) (- (* 7/720 (/ 1 (pow x 2))) (+ 31/30240 (/ 1/12 (pow x 4))))))) |
#s(approx (+ (* (+ (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) -1/12) (* x x)) 1/2) #s(hole binary64 (* (pow x 6) (- (+ (* 7/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 31/30240 (/ 1/12 (pow x 4))))))) |
#s(approx (+ (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) -1/12) #s(hole binary64 (* -31/30240 (pow x 4)))) |
#s(approx (+ (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) -1/12) #s(hole binary64 (* (pow x 4) (- (* 7/720 (/ 1 (pow x 2))) 31/30240)))) |
#s(approx (+ (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) -1/12) #s(hole binary64 (* (pow x 4) (- (* 7/720 (/ 1 (pow x 2))) (+ 31/30240 (/ 1/12 (pow x 4))))))) |
#s(approx (+ (* -31/30240 (* x x)) 7/720) #s(hole binary64 (* -31/30240 (pow x 2)))) |
#s(approx (+ (* -31/30240 (* x x)) 7/720) #s(hole binary64 (* (pow x 2) (- (* 7/720 (/ 1 (pow x 2))) 31/30240)))) |
#s(approx (- (exp x) -1) #s(hole binary64 (+ 1 (exp x)))) |
#s(approx (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) #s(hole binary64 (/ (* (exp x) (+ 1 (exp x))) (- (exp (neg (* -2 x))) 1)))) |
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(hole binary64 (/ (exp x) (- (exp (neg (* -2 x))) 1)))) |
#s(approx (/ (+ (* (+ (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) -1/12) (* x x)) 1/2) x) #s(hole binary64 (* -1 (* (pow x 5) (- 31/30240 (* 7/720 (/ 1 (pow x 2)))))))) |
#s(approx (/ (+ (* (+ (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) -1/12) (* x x)) 1/2) x) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 31/30240 (/ 1/12 (pow x 4))) (* 7/720 (/ 1 (pow x 2)))))))) |
#s(approx (/ (+ (* (+ (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) -1/12) (* x x)) 1/2) x) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 31/30240 (/ 1/12 (pow x 4))) (+ (* 7/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6))))))))) |
| Outputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (* 1/2 x) x) (* x 1)) (* x x)) #s(literal 3/2 binary64))) |
#s(approx (/ (+ (* (* 1/2 x) x) (* x 1)) (* x x)) #s(literal 3/2 binary64)) |
#s(literal 3/2 binary64) |
x |
#s(literal 1 binary64) |
x |
#s(literal 1 binary64) |
#s(literal -1 binary64) |
#s(literal -1/2 binary64) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (* 1/2 x) x) (* x 1)) (* x x)) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (* (* 1/2 x) x) (* x 1)) (* x x)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(/.f64 (neg.f64 (neg.f64 #s(approx (exp x) #s(literal 2 binary64)))) (neg.f64 (neg.f64 #s(approx (- (exp x) 1) x)))) |
(/.f64 (neg.f64 #s(approx (exp x) #s(literal 2 binary64))) (neg.f64 #s(approx (- (exp x) 1) x))) |
(/.f64 #s(approx (exp x) #s(literal 2 binary64)) #s(approx (- (exp x) 1) x)) |
(neg.f64 (/.f64 (neg.f64 #s(approx (exp x) #s(literal 2 binary64))) #s(approx (- (exp x) 1) x))) |
(neg.f64 (/.f64 #s(approx (exp x) #s(literal 2 binary64)) (neg.f64 #s(approx (- (exp x) 1) x)))) |
#s(approx (exp x) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (- (exp x) 1) x) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(literal 3/2 binary64)) |
#s(literal 3/2 binary64) |
#s(literal 3/2 binary64) |
#s(literal 1/2 binary64) |
x |
#s(literal 1 binary64) |
x |
#s(literal 1 binary64) |
x |
#s(literal 1 binary64) |
(*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(literal 12863/30240 binary64))) |
(*.f64 #s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(literal 12863/30240 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) |
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(literal 12863/30240 binary64)) |
#s(literal 12863/30240 binary64) |
#s(literal 12863/30240 binary64) |
#s(literal -2257/30240 binary64) |
#s(literal 263/30240 binary64) |
#s(literal -31/30240 binary64) |
#s(literal 7/720 binary64) |
#s(literal -1/12 binary64) |
(*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) x) |
(*.f64 x (-.f64 (exp.f64 x) #s(literal -1 binary64))) |
(/.f64 (+.f64 (exp.f64 #s(literal 3 binary64)) x) (+.f64 (exp.f64 #s(literal 2 binary64)) (-.f64 x (exp.f64 x)))) |
(/.f64 (neg.f64 (-.f64 (exp.f64 #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (exp.f64 #s(literal 2 binary64)) (-.f64 x (exp.f64 x))))) |
(/.f64 (neg.f64 (-.f64 x (exp.f64 #s(literal 2 binary64)))) (neg.f64 (-.f64 x (exp.f64 x)))) |
(/.f64 (neg.f64 (+.f64 x (exp.f64 #s(literal 3 binary64)))) (neg.f64 (-.f64 (+.f64 x (exp.f64 #s(literal 2 binary64))) (exp.f64 x)))) |
(/.f64 (-.f64 x (exp.f64 #s(literal 2 binary64))) (-.f64 x (exp.f64 x))) |
(/.f64 (-.f64 (exp.f64 #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (exp.f64 #s(literal 2 binary64)) (-.f64 x (exp.f64 x)))) |
(/.f64 (+.f64 x (exp.f64 #s(literal 3 binary64))) (-.f64 (+.f64 x (exp.f64 #s(literal 2 binary64))) (exp.f64 x))) |
(/.f64 (neg.f64 (expm1.f64 #s(literal 2 binary64))) (neg.f64 (expm1.f64 x))) |
(/.f64 (expm1.f64 #s(literal 2 binary64)) (expm1.f64 x)) |
(fma.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64) x) |
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (exp.f64 x)) x) |
(fma.f64 x (exp.f64 x) x) |
(fma.f64 (exp.f64 x) x x) |
(-.f64 (/.f64 (exp.f64 #s(literal 3 binary64)) (+.f64 (exp.f64 #s(literal 2 binary64)) (-.f64 x (exp.f64 x)))) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 #s(literal 2 binary64)) (-.f64 x (exp.f64 x))))) |
(-.f64 (/.f64 (exp.f64 #s(literal 2 binary64)) (expm1.f64 x)) (/.f64 x (expm1.f64 x))) |
(-.f64 (/.f64 x (-.f64 x (exp.f64 x))) (/.f64 (exp.f64 #s(literal 2 binary64)) (-.f64 x (exp.f64 x)))) |
(-.f64 x (*.f64 (neg.f64 (exp.f64 x)) x)) |
(-.f64 (exp.f64 x) #s(literal -1 binary64)) |
(+.f64 (+.f64 x (cosh.f64 #s(literal -1 binary64))) (sinh.f64 x)) |
(+.f64 (/.f64 x (-.f64 (+.f64 x (exp.f64 #s(literal 2 binary64))) (exp.f64 x))) (/.f64 (exp.f64 #s(literal 3 binary64)) (-.f64 (+.f64 x (exp.f64 #s(literal 2 binary64))) (exp.f64 x)))) |
(+.f64 (cosh.f64 #s(literal -1 binary64)) (-.f64 (sinh.f64 x) #s(literal -1 binary64))) |
(+.f64 (cosh.f64 #s(literal -1 binary64)) (+.f64 (sinh.f64 x) x)) |
(+.f64 x (exp.f64 x)) |
(+.f64 (exp.f64 x) x) |
(*.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (exp.f64 x))) |
(*.f64 x (exp.f64 x)) |
(*.f64 (exp.f64 x) x) |
(pow.f64 (exp.f64 x) x) |
(/.f64 (-.f64 (*.f64 (cosh.f64 #s(literal -1 binary64)) (cosh.f64 #s(literal -1 binary64))) (*.f64 (sinh.f64 x) (sinh.f64 x))) (-.f64 (cosh.f64 #s(literal -1 binary64)) (sinh.f64 x))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 #s(literal -1 binary64)) (cosh.f64 #s(literal -1 binary64)) (-.f64 (*.f64 (sinh.f64 x) (sinh.f64 x)) (*.f64 (cosh.f64 #s(literal -1 binary64)) (sinh.f64 x))))) |
(fma.f64 (cosh.f64 #s(literal -1 binary64)) x (*.f64 (sinh.f64 x) x)) |
(fma.f64 x (cosh.f64 #s(literal -1 binary64)) (*.f64 x (sinh.f64 x))) |
(+.f64 (*.f64 (cosh.f64 #s(literal -1 binary64)) x) (*.f64 (sinh.f64 x) x)) |
(+.f64 (*.f64 x (cosh.f64 #s(literal -1 binary64))) (*.f64 x (sinh.f64 x))) |
(+.f64 (cosh.f64 #s(literal -1 binary64)) (sinh.f64 x)) |
(exp.f64 x) |
#s(approx (/ (exp x) (- (exp x) 1)) x) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(literal 3/2 binary64)) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(literal 19/12 binary64)) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(literal 1139/720 binary64)) |
#s(approx (/ (+ (* (* 1/2 x) x) (* x 1)) (* x x)) x) |
#s(approx (/ (+ (* (* 1/2 x) x) (* x 1)) (* x x)) #s(literal 3/2 binary64)) |
#s(approx (/ (+ (* (* 1/2 x) x) (* x 1)) (* x x)) x) |
#s(approx (/ (+ (* (* 1/2 x) x) (* x 1)) (* x x)) #s(literal 3/2 binary64)) |
#s(approx (* x x) x) |
#s(approx (* x x) x) |
#s(approx (exp x) x) |
#s(approx (exp x) #s(literal 2 binary64)) |
#s(approx (exp x) #s(literal 5/2 binary64)) |
#s(approx (exp x) #s(literal 8/3 binary64)) |
#s(approx (- x -1) x) |
#s(approx (- x -1) #s(literal 2 binary64)) |
#s(approx (- (exp x) 1) x) |
#s(approx (- (exp x) 1) #s(literal 3/2 binary64)) |
#s(approx (- (exp x) 1) #s(literal 5/3 binary64)) |
#s(approx (- (exp x) 1) #s(literal 41/24 binary64)) |
#s(approx (/ (+ (* (* 1/2 x) x) (* x 1)) (* x x)) x) |
#s(approx (/ (+ (* (* 1/2 x) x) (* x 1)) (* x x)) #s(literal 3/2 binary64)) |
#s(approx (/ (+ (* (* 1/2 x) x) (* x 1)) (* x x)) x) |
#s(approx (/ (+ (* (* 1/2 x) x) (* x 1)) (* x x)) #s(literal 3/2 binary64)) |
#s(approx (* 1/2 x) #s(literal 1/2 binary64)) |
#s(approx (* x x) x) |
#s(approx (* x x) x) |
#s(approx (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) x) |
#s(approx (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) #s(literal 3/2 binary64)) |
#s(approx (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) #s(literal 19/12 binary64)) |
#s(approx (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) #s(literal 1139/720 binary64)) |
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(literal 1/2 binary64)) |
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(literal 5/12 binary64)) |
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(literal 307/720 binary64)) |
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(literal 12863/30240 binary64)) |
#s(approx (/ (+ (* (+ (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) -1/12) (* x x)) 1/2) x) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (* (+ (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) -1/12) (* x x)) 1/2) x) #s(literal 5/12 binary64)) |
#s(approx (/ (+ (* (+ (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) -1/12) (* x x)) 1/2) x) #s(literal 307/720 binary64)) |
#s(approx (/ (+ (* (+ (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) -1/12) (* x x)) 1/2) x) #s(literal 12863/30240 binary64)) |
#s(approx (/ (+ (* (+ (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) -1/12) (* x x)) 1/2) x) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (* (+ (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) -1/12) (* x x)) 1/2) x) #s(literal 5/12 binary64)) |
#s(approx (/ (+ (* (+ (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) -1/12) (* x x)) 1/2) x) #s(literal 307/720 binary64)) |
#s(approx (/ (+ (* (+ (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) -1/12) (* x x)) 1/2) x) #s(literal 12863/30240 binary64)) |
#s(approx (+ (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) -1/12) #s(literal -1/12 binary64)) |
#s(approx (+ (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) -1/12) #s(literal -53/720 binary64)) |
#s(approx (+ (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) -1/12) #s(literal -2257/30240 binary64)) |
#s(approx (+ (* -31/30240 (* x x)) 7/720) #s(literal 7/720 binary64)) |
#s(approx (+ (* -31/30240 (* x x)) 7/720) #s(literal 263/30240 binary64)) |
#s(approx (- (exp x) -1) #s(literal 2 binary64)) |
#s(approx (- (exp x) -1) #s(literal 3 binary64)) |
#s(approx (- (exp x) -1) #s(literal 7/2 binary64)) |
#s(approx (- (exp x) -1) #s(literal 11/3 binary64)) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (exp.f64 x) (expm1.f64 x))) |
#s(approx (/ (+ (* (* 1/2 x) x) (* x 1)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (* (* 1/2 x) x) (* x 1)) (* x x)) #s(literal 3/2 binary64)) |
#s(approx (/ (+ (* (* 1/2 x) x) (* x 1)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (* (* 1/2 x) x) (* x 1)) (* x x)) #s(literal 3/2 binary64)) |
#s(approx (exp x) (exp.f64 x)) |
#s(approx (- x -1) x) |
#s(approx (- x -1) #s(literal 2 binary64)) |
#s(approx (- (exp x) 1) (expm1.f64 x)) |
#s(approx (/ (+ (* (* 1/2 x) x) (* x 1)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (* (* 1/2 x) x) (* x 1)) (* x x)) #s(literal 3/2 binary64)) |
#s(approx (/ (+ (* (* 1/2 x) x) (* x 1)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (* (* 1/2 x) x) (* x 1)) (* x x)) #s(literal 3/2 binary64)) |
#s(approx (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) (/.f64 (+.f64 (exp.f64 #s(literal 2 binary64)) (exp.f64 x)) (expm1.f64 #s(literal 2 binary64)))) |
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) (/.f64 (exp.f64 x) (expm1.f64 #s(literal 2 binary64)))) |
#s(approx (/ (+ (* (+ (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) -1/12) (* x x)) 1/2) x) #s(literal -31/30240 binary64)) |
#s(approx (/ (+ (* (+ (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) -1/12) (* x x)) 1/2) x) #s(literal 263/30240 binary64)) |
#s(approx (/ (+ (* (+ (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) -1/12) (* x x)) 1/2) x) #s(literal -2257/30240 binary64)) |
#s(approx (/ (+ (* (+ (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) -1/12) (* x x)) 1/2) x) #s(literal 12863/30240 binary64)) |
#s(approx (/ (+ (* (+ (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) -1/12) (* x x)) 1/2) x) #s(literal -31/30240 binary64)) |
#s(approx (/ (+ (* (+ (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) -1/12) (* x x)) 1/2) x) #s(literal 263/30240 binary64)) |
#s(approx (/ (+ (* (+ (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) -1/12) (* x x)) 1/2) x) #s(literal -2257/30240 binary64)) |
#s(approx (/ (+ (* (+ (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) -1/12) (* x x)) 1/2) x) #s(literal 12863/30240 binary64)) |
#s(approx (+ (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) -1/12) #s(literal -31/30240 binary64)) |
#s(approx (+ (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) -1/12) #s(literal 263/30240 binary64)) |
#s(approx (+ (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) -1/12) #s(literal -2257/30240 binary64)) |
#s(approx (+ (* -31/30240 (* x x)) 7/720) #s(literal -31/30240 binary64)) |
#s(approx (+ (* -31/30240 (* x x)) 7/720) #s(literal 263/30240 binary64)) |
#s(approx (- (exp x) -1) (-.f64 (exp.f64 x) #s(literal -1 binary64))) |
#s(approx (* (/ (exp x) (- (exp (+ x x)) 1)) (- (exp x) -1)) (/.f64 (+.f64 (exp.f64 #s(literal 2 binary64)) (exp.f64 x)) (expm1.f64 #s(literal 2 binary64)))) |
#s(approx (/ (exp x) (- (exp (+ x x)) 1)) (/.f64 (exp.f64 x) (expm1.f64 #s(literal 2 binary64)))) |
#s(approx (/ (+ (* (+ (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) -1/12) (* x x)) 1/2) x) #s(literal 263/30240 binary64)) |
#s(approx (/ (+ (* (+ (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) -1/12) (* x x)) 1/2) x) #s(literal -2257/30240 binary64)) |
#s(approx (/ (+ (* (+ (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) -1/12) (* x x)) 1/2) x) #s(literal 12863/30240 binary64)) |
Compiled 3 255 to 380 computations (88.3% saved)
20 alts after pruning (10 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 110 | 7 | 117 |
| Fresh | 0 | 3 | 3 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 5 | 5 |
| Total | 110 | 20 | 130 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (exp.f64 x) (expm1.f64 x)) |
| ✓ | 97.3% | (/.f64 (exp.f64 x) #s(approx (- (exp x) 1) x)) |
| ✓ | 61.8% | (/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) x)) |
| 3.9% | (/.f64 #s(approx (exp x) #s(approx (- x -1) x)) #s(approx (- (exp x) 1) x)) | |
| ▶ | 62.6% | (/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) x)) |
| ✓ | 100.0% | (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (-.f64 (exp.f64 x) #s(literal -1 binary64))) |
| ✓ | 62.7% | (*.f64 #s(approx (/ (exp x) (- (exp (+ x x)) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -31/30240 binary64) (*.f64 x x) #s(literal 7/720 binary64)) (*.f64 x x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) |
| 3.3% | (*.f64 #s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(approx (/ (+ (* (+ (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) -1/12) (* x x)) 1/2) x) #s(literal -31/30240 binary64))) (-.f64 (exp.f64 x) #s(literal -1 binary64))) | |
| ✓ | 62.7% | #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
| ▶ | 62.9% | #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
| 33.4% | #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x) x (*.f64 x #s(literal 1 binary64))) (*.f64 x x))) | |
| ✓ | 33.3% | #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (*.f64 x #s(literal 1 binary64))) (*.f64 x x))) |
| ▶ | 28.3% | #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(approx (* 1/2 x) #s(literal 1/2 binary64)) x (*.f64 x #s(literal 1 binary64))) (*.f64 x x))) |
| ✓ | 62.9% | #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) |
| ▶ | 3.4% | #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (* 1/2 x) x) (* x 1)) (* x x)) x)) |
| 3.2% | #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (* 1/2 x) x) (* x 1)) (* x x)) #s(literal 3/2 binary64))) | |
| ✓ | 63.0% | #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))) |
| 2.9% | #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) (-.f64 #s(approx (* x x) x) #s(literal -1/2 binary64)))) | |
| ✓ | 3.2% | #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64))) |
| ▶ | 3.2% | #s(approx (/ (exp x) (- (exp x) 1)) #s(literal 19/12 binary64)) |
Compiled 600 to 404 computations (32.7% saved)
| Inputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
(/.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) |
(fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) |
#s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) |
#s(literal 1/12 binary64) |
x |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(literal 19/12 binary64)) |
#s(literal 19/12 binary64) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (* 1/2 x) x) (* x 1)) (* x x)) x)) |
#s(approx (/ (+ (* (* 1/2 x) x) (* x 1)) (* x x)) x) |
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) x)) |
#s(approx (exp x) #s(literal 1 binary64)) |
#s(approx (- (exp x) 1) x) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(approx (* 1/2 x) #s(literal 1/2 binary64)) x (*.f64 x #s(literal 1 binary64))) (*.f64 x x))) |
(/.f64 (fma.f64 #s(approx (* 1/2 x) #s(literal 1/2 binary64)) x (*.f64 x #s(literal 1 binary64))) (*.f64 x x)) |
(fma.f64 #s(approx (* 1/2 x) #s(literal 1/2 binary64)) x (*.f64 x #s(literal 1 binary64))) |
#s(approx (* 1/2 x) #s(literal 1/2 binary64)) |
(*.f64 x #s(literal 1 binary64)) |
(*.f64 x x) |
| Outputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ 1 x))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (/ 1 x))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(hole binary64 1)) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* 1/2 x)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/12 x)))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))))) |
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (+ 1/2 (* 1/12 x)))) |
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) |
#s(approx (+ (* (* x x) -1/720) 1/12) #s(hole binary64 1/12)) |
#s(approx (+ (* (* x x) -1/720) 1/12) #s(hole binary64 (+ 1/12 (* -1/720 (pow x 2))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (/ (+ (* (* 1/2 x) x) (* x 1)) (* x x)) #s(hole binary64 (/ 1 x))) |
#s(approx (/ (+ (* (* 1/2 x) x) (* x 1)) (* x x)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x))) |
#s(approx (exp x) #s(hole binary64 1)) |
#s(approx (exp x) #s(hole binary64 (+ 1 x))) |
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x)))))) |
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))) |
#s(approx (- (exp x) 1) #s(hole binary64 x)) |
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* 1/2 x))))) |
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))) |
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))) |
#s(approx (+ (* (* 1/2 x) x) (* x 1)) #s(hole binary64 x)) |
#s(approx (+ (* (* 1/2 x) x) (* x 1)) #s(hole binary64 (* x (+ 1 (* 1/2 x))))) |
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x))) |
#s(approx (* x 1) #s(hole binary64 x)) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (exp x) (- (exp x) 1)))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (* -1/720 (pow x 3)))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720)))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720)))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(hole binary64 (* -1/720 (pow x 4)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(hole binary64 (* (pow x 4) (- (* 1/12 (/ 1 (pow x 2))) 1/720)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(hole binary64 (* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(hole binary64 (* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720)))) |
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (* -1/720 (pow x 3)))) |
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720)))) |
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720)))) |
#s(approx (+ (* (* x x) -1/720) 1/12) #s(hole binary64 (* -1/720 (pow x 2)))) |
#s(approx (+ (* (* x x) -1/720) 1/12) #s(hole binary64 (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)))) |
#s(approx (/ (+ (* (* 1/2 x) x) (* x 1)) (* x x)) #s(hole binary64 1/2)) |
#s(approx (/ (+ (* (* 1/2 x) x) (* x 1)) (* x x)) #s(hole binary64 (+ 1/2 (/ 1 x)))) |
#s(approx (exp x) #s(hole binary64 (exp x))) |
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1))) |
#s(approx (+ (* (* 1/2 x) x) (* x 1)) #s(hole binary64 (* 1/2 (pow x 2)))) |
#s(approx (+ (* (* 1/2 x) x) (* x 1)) #s(hole binary64 (* (pow x 2) (+ 1/2 (/ 1 x))))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2)))))))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2)))))))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2)))))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | ((/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (+ (* (* x x) -1/720) 1/12) 1/12 x 1/2 1 (/ (exp x) (- (exp x) 1)) 19/12 (/ (exp x) (- (exp x) 1)) (/ (+ (* (* 1/2 x) x) (* x 1)) (* x x)) (/ (exp x) (- (exp x) 1)) (exp x) (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (/ (+ (* (* 1/2 x) x) (* x 1)) (* x x)) (+ (* (* 1/2 x) x) (* x 1)) (* 1/2 x) (* x 1) (* x x)) |
| 2.0ms | x | @ | inf | ((/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (+ (* (* x x) -1/720) 1/12) 1/12 x 1/2 1 (/ (exp x) (- (exp x) 1)) 19/12 (/ (exp x) (- (exp x) 1)) (/ (+ (* (* 1/2 x) x) (* x 1)) (* x x)) (/ (exp x) (- (exp x) 1)) (exp x) (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (/ (+ (* (* 1/2 x) x) (* x 1)) (* x x)) (+ (* (* 1/2 x) x) (* x 1)) (* 1/2 x) (* x 1) (* x x)) |
| 1.0ms | x | @ | 0 | ((/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (+ (* (* x x) -1/720) 1/12) 1/12 x 1/2 1 (/ (exp x) (- (exp x) 1)) 19/12 (/ (exp x) (- (exp x) 1)) (/ (+ (* (* 1/2 x) x) (* x 1)) (* x x)) (/ (exp x) (- (exp x) 1)) (exp x) (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (/ (+ (* (* 1/2 x) x) (* x 1)) (* x x)) (+ (* (* 1/2 x) x) (* x 1)) (* 1/2 x) (* x 1) (* x x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 173 | 1380 |
| 0 | 184 | 1308 |
| 1 | 882 | 1269 |
| 0 | 7666 | 1103 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
(/.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) |
(fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) |
#s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) |
#s(literal 1/12 binary64) |
x |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(literal 19/12 binary64)) |
#s(literal 19/12 binary64) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (* 1/2 x) x) (* x 1)) (* x x)) x)) |
#s(approx (/ (+ (* (* 1/2 x) x) (* x 1)) (* x x)) x) |
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) x)) |
#s(approx (exp x) #s(literal 1 binary64)) |
#s(approx (- (exp x) 1) x) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(approx (* 1/2 x) #s(literal 1/2 binary64)) x (*.f64 x #s(literal 1 binary64))) (*.f64 x x))) |
(/.f64 (fma.f64 #s(approx (* 1/2 x) #s(literal 1/2 binary64)) x (*.f64 x #s(literal 1 binary64))) (*.f64 x x)) |
(fma.f64 #s(approx (* 1/2 x) #s(literal 1/2 binary64)) x (*.f64 x #s(literal 1 binary64))) |
#s(approx (* 1/2 x) #s(literal 1/2 binary64)) |
(*.f64 x #s(literal 1 binary64)) |
(*.f64 x x) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ 1 x))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (/ 1 x))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(hole binary64 1)) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* 1/2 x)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/12 x)))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))))) |
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (+ 1/2 (* 1/12 x)))) |
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) |
#s(approx (+ (* (* x x) -1/720) 1/12) #s(hole binary64 1/12)) |
#s(approx (+ (* (* x x) -1/720) 1/12) #s(hole binary64 (+ 1/12 (* -1/720 (pow x 2))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (/ (+ (* (* 1/2 x) x) (* x 1)) (* x x)) #s(hole binary64 (/ 1 x))) |
#s(approx (/ (+ (* (* 1/2 x) x) (* x 1)) (* x x)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x))) |
#s(approx (exp x) #s(hole binary64 1)) |
#s(approx (exp x) #s(hole binary64 (+ 1 x))) |
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x)))))) |
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))) |
#s(approx (- (exp x) 1) #s(hole binary64 x)) |
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* 1/2 x))))) |
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))) |
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))) |
#s(approx (+ (* (* 1/2 x) x) (* x 1)) #s(hole binary64 x)) |
#s(approx (+ (* (* 1/2 x) x) (* x 1)) #s(hole binary64 (* x (+ 1 (* 1/2 x))))) |
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x))) |
#s(approx (* x 1) #s(hole binary64 x)) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (exp x) (- (exp x) 1)))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (* -1/720 (pow x 3)))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720)))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720)))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(hole binary64 (* -1/720 (pow x 4)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(hole binary64 (* (pow x 4) (- (* 1/12 (/ 1 (pow x 2))) 1/720)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(hole binary64 (* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(hole binary64 (* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720)))) |
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (* -1/720 (pow x 3)))) |
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720)))) |
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720)))) |
#s(approx (+ (* (* x x) -1/720) 1/12) #s(hole binary64 (* -1/720 (pow x 2)))) |
#s(approx (+ (* (* x x) -1/720) 1/12) #s(hole binary64 (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)))) |
#s(approx (/ (+ (* (* 1/2 x) x) (* x 1)) (* x x)) #s(hole binary64 1/2)) |
#s(approx (/ (+ (* (* 1/2 x) x) (* x 1)) (* x x)) #s(hole binary64 (+ 1/2 (/ 1 x)))) |
#s(approx (exp x) #s(hole binary64 (exp x))) |
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1))) |
#s(approx (+ (* (* 1/2 x) x) (* x 1)) #s(hole binary64 (* 1/2 (pow x 2)))) |
#s(approx (+ (* (* 1/2 x) x) (* x 1)) #s(hole binary64 (* (pow x 2) (+ 1/2 (/ 1 x))))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2)))))))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2)))))))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2)))))))) |
| Outputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
(/.f64 (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #s(literal 1 binary64)) x) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x) x) (/.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x) x)) (pow.f64 x #s(literal -2 binary64))) (-.f64 (/.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x) x) (pow.f64 x #s(literal -1 binary64)))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal -3 binary64))) (fma.f64 (/.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x) x) (/.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x) x) (-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x) x) (pow.f64 x #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))) x) |
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x) (neg.f64 x) (neg.f64 x)) (*.f64 (neg.f64 x) x)) |
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x) x x) (*.f64 x x)) |
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)) |
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x)) x)) |
(/.f64 (neg.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (neg.f64 x)) |
(/.f64 (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) #s(literal 1 binary64)) |
(/.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) x)) |
(neg.f64 (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (neg.f64 x))) |
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x) x)) |
(fma.f64 (/.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x) (/.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(fma.f64 (/.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 x x) (pow.f64 x #s(literal -1 binary64))) |
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x) (pow.f64 x #s(literal -1 binary64))) |
(fma.f64 (/.f64 x x) (/.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x) x)) |
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(*.f64 (+.f64 #s(approx (* 1/2 x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) |
(*.f64 x (+.f64 #s(approx (* 1/2 x) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 x (+.f64 #s(literal 1 binary64) #s(approx (* 1/2 x) #s(literal 1/2 binary64)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 #s(approx (* 1/2 x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64))) (-.f64 x (*.f64 #s(approx (* 1/2 x) #s(literal 1/2 binary64)) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (* 1/2 x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 #s(approx (* 1/2 x) #s(literal 1/2 binary64)) x (neg.f64 x)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 #s(approx (* 1/2 x) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 #s(approx (* 1/2 x) #s(literal 1/2 binary64)) x)) (pow.f64 (*.f64 #s(approx (* 1/2 x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (* 1/2 x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 #s(approx (* 1/2 x) #s(literal 1/2 binary64)) x (neg.f64 x))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(approx (* 1/2 x) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(approx (* 1/2 x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (fma.f64 x x (*.f64 (*.f64 #s(approx (* 1/2 x) #s(literal 1/2 binary64)) x) (neg.f64 x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(approx (* 1/2 x) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 #s(approx (* 1/2 x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(approx (* 1/2 x) #s(literal 1/2 binary64)) x) x)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(approx (* 1/2 x) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 #s(approx (* 1/2 x) #s(literal 1/2 binary64)) x)) (pow.f64 (*.f64 #s(approx (* 1/2 x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 #s(approx (* 1/2 x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x x) |
(fma.f64 (*.f64 #s(approx (* 1/2 x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64) x) |
(fma.f64 #s(approx (* 1/2 x) #s(literal 1/2 binary64)) x x) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(approx (* 1/2 x) #s(literal 1/2 binary64)) x) x) |
(fma.f64 x (*.f64 #s(literal 1 binary64) #s(approx (* 1/2 x) #s(literal 1/2 binary64))) x) |
(fma.f64 x #s(approx (* 1/2 x) #s(literal 1/2 binary64)) x) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(approx (* 1/2 x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (fma.f64 #s(approx (* 1/2 x) #s(literal 1/2 binary64)) x (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 #s(approx (* 1/2 x) #s(literal 1/2 binary64)) x (neg.f64 x)))) |
(-.f64 (*.f64 #s(approx (* 1/2 x) #s(literal 1/2 binary64)) x) (neg.f64 x)) |
(-.f64 x (*.f64 (neg.f64 #s(approx (* 1/2 x) #s(literal 1/2 binary64))) x)) |
(-.f64 x (*.f64 (neg.f64 x) #s(approx (* 1/2 x) #s(literal 1/2 binary64)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(approx (* 1/2 x) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 #s(approx (* 1/2 x) #s(literal 1/2 binary64)) x)) (pow.f64 (*.f64 #s(approx (* 1/2 x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 #s(approx (* 1/2 x) #s(literal 1/2 binary64)) x)) (pow.f64 (*.f64 #s(approx (* 1/2 x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64))))) |
(+.f64 (*.f64 #s(approx (* 1/2 x) #s(literal 1/2 binary64)) x) x) |
(+.f64 x (*.f64 #s(approx (* 1/2 x) #s(literal 1/2 binary64)) x)) |
#s(approx (* 1/2 x) #s(literal 1/2 binary64)) |
x |
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x))) |
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x))) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 (fabs.f64 x) (fabs.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 (log.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 x) x)) |
(fabs.f64 (*.f64 x x)) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) (pow.f64 x #s(literal -1 binary64))) |
#s(approx (/ (exp x) (- (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 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64) #s(literal 1/2 binary64))) x #s(literal 1 binary64)) x)) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) (pow.f64 x #s(literal -1 binary64))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64) #s(literal 1/2 binary64))) x #s(literal 1 binary64)) x)) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64) #s(literal 1/2 binary64))) x #s(literal 1 binary64))) |
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(literal 1/2 binary64)) |
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))) |
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (fma.f64 #s(literal 1/12 binary64) x (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64) #s(literal 1/2 binary64)))) |
#s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) |
#s(approx (+ (* (* x x) -1/720) 1/12) (fma.f64 (*.f64 #s(literal -1/720 binary64) x) x #s(literal 1/12 binary64))) |
#s(approx (* x 1) x) |
#s(approx (/ (+ (* (* 1/2 x) x) (* x 1)) (* x x)) (pow.f64 x #s(literal -1 binary64))) |
#s(approx (/ (+ (* (* 1/2 x) x) (* x 1)) (* x x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) |
#s(approx (exp x) #s(literal 1 binary64)) |
#s(approx (exp x) (-.f64 x #s(literal -1 binary64))) |
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
#s(approx (exp 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))) |
#s(approx (- (exp x) 1) x) |
#s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #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) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
#s(approx (+ (* (* 1/2 x) x) (* x 1)) x) |
#s(approx (+ (* (* 1/2 x) x) (* x 1)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) |
#s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* x 1) x) |
#s(approx (* x x) (*.f64 x x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (exp.f64 x) (expm1.f64 x))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64)) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) (*.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) x) x) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3 binary64)) (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/720 binary64))) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64)) #s(literal 1/720 binary64)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) x) x) #s(literal 1/720 binary64)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3 binary64)) (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/720 binary64))) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64))) |
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64)) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (*.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) x) x) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (+ (* (* x x) -1/720) 1/12) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))) |
#s(approx (+ (* (* x x) -1/720) 1/12) (*.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64)) #s(literal 1/720 binary64)) x) x)) |
#s(approx (/ (+ (* (* 1/2 x) x) (* x 1)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (* (* 1/2 x) x) (* x 1)) (* x x)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
#s(approx (exp x) (exp.f64 x)) |
#s(approx (- (exp x) 1) (expm1.f64 x)) |
#s(approx (+ (* (* 1/2 x) x) (* x 1)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) |
#s(approx (+ (* (* 1/2 x) x) (* x 1)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/720 binary64)))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 #s(literal 1/720 binary64) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) x) x)))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1/720 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal -4 binary64))))))) |
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1/720 binary64)))) |
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 #s(literal 1/720 binary64) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) x) x)))) |
Compiled 6 732 to 799 computations (88.1% saved)
23 alts after pruning (9 fresh and 14 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 222 | 6 | 228 |
| Fresh | 2 | 3 | 5 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 10 | 10 |
| Total | 225 | 23 | 248 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (exp.f64 x) (expm1.f64 x)) |
| ✓ | 97.3% | (/.f64 (exp.f64 x) #s(approx (- (exp x) 1) x)) |
| ✓ | 61.8% | (/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) x)) |
| 3.9% | (/.f64 #s(approx (exp x) #s(approx (- x -1) x)) #s(approx (- (exp x) 1) x)) | |
| 88.7% | (/.f64 #s(approx (exp x) #s(literal 1 binary64)) #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))) | |
| 86.8% | (/.f64 #s(approx (exp x) #s(literal 1 binary64)) #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))) | |
| 80.5% | (/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) | |
| ✓ | 62.6% | (/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) x)) |
| ✓ | 100.0% | (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (-.f64 (exp.f64 x) #s(literal -1 binary64))) |
| ✓ | 62.7% | (*.f64 #s(approx (/ (exp x) (- (exp (+ x x)) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -31/30240 binary64) (*.f64 x x) #s(literal 7/720 binary64)) (*.f64 x x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) |
| ✓ | 62.7% | #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
| ✓ | 62.9% | #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
| 33.5% | #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x) x x) (*.f64 x x))) | |
| ✓ | 33.3% | #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (*.f64 x #s(literal 1 binary64))) (*.f64 x x))) |
| ✓ | 62.9% | #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) |
| 33.3% | #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(approx (+ (* (* 1/2 x) x) (* x 1)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) (*.f64 x x))) | |
| 51.3% | #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(approx (+ (* (* 1/2 x) x) (* x 1)) x) (*.f64 x x))) | |
| ✓ | 3.4% | #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (* 1/2 x) x) (* x 1)) (* x x)) x)) |
| 3.2% | #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (* 1/2 x) x) (* x 1)) (* x x)) #s(literal 3/2 binary64))) | |
| ✓ | 63.0% | #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))) |
| 2.9% | #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) (-.f64 #s(approx (* x x) x) #s(literal -1/2 binary64)))) | |
| ✓ | 3.2% | #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64))) |
| ✓ | 3.2% | #s(approx (/ (exp x) (- (exp x) 1)) #s(literal 19/12 binary64)) |
Compiled 1 001 to 439 computations (56.1% saved)
| Inputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) #s(literal 19/12 binary64)) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (* 1/2 x) x) (* x 1)) (* x x)) #s(literal 3/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (* 1/2 x) x) (* x 1)) (* x x)) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) (-.f64 #s(approx (* x x) x) #s(literal -1/2 binary64)))) |
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) x)) |
(/.f64 #s(approx (exp x) #s(approx (- x -1) x)) #s(approx (- (exp x) 1) x)) |
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(approx (+ (* (* 1/2 x) x) (* x 1)) x) (*.f64 x x))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) |
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #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 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(approx (+ (* (* 1/2 x) x) (* x 1)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) (*.f64 x x))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(approx (* 1/2 x) #s(literal 1/2 binary64)) x (*.f64 x #s(literal 1 binary64))) (*.f64 x x))) |
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #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)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (*.f64 x #s(literal 1 binary64))) (*.f64 x x))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x) x x) (*.f64 x x))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #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))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x) x (*.f64 x #s(literal 1 binary64))) (*.f64 x x))) |
#s(approx (/ (exp x) (- (exp x) 1)) (pow.f64 x #s(literal -1 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))) |
(*.f64 #s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(approx (/ (+ (* (+ (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) -1/12) (* x x)) 1/2) x) #s(literal -31/30240 binary64))) (-.f64 (exp.f64 x) #s(literal -1 binary64))) |
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) x)) |
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) |
(*.f64 #s(approx (/ (exp x) (- (exp (+ x x)) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -31/30240 binary64) (*.f64 x x) #s(literal 7/720 binary64)) (*.f64 x x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (-.f64 (exp.f64 x) #s(literal -1 binary64))) |
| Outputs |
|---|
(/.f64 (exp.f64 x) (expm1.f64 x)) |
3 calls:
| 10.0ms | x |
| 6.0ms | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 6.0ms | (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(literal 19/12 binary64)) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (* 1/2 x) x) (* x 1)) (* x x)) #s(literal 3/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (* 1/2 x) x) (* x 1)) (* x x)) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) (-.f64 #s(approx (* x x) x) #s(literal -1/2 binary64)))) |
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) x)) |
(/.f64 #s(approx (exp x) #s(approx (- x -1) x)) #s(approx (- (exp x) 1) x)) |
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(approx (+ (* (* 1/2 x) x) (* x 1)) x) (*.f64 x x))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) |
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #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 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(approx (+ (* (* 1/2 x) x) (* x 1)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) (*.f64 x x))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(approx (* 1/2 x) #s(literal 1/2 binary64)) x (*.f64 x #s(literal 1 binary64))) (*.f64 x x))) |
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #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)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (*.f64 x #s(literal 1 binary64))) (*.f64 x x))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x) x x) (*.f64 x x))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #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))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x) x (*.f64 x #s(literal 1 binary64))) (*.f64 x x))) |
#s(approx (/ (exp x) (- (exp x) 1)) (pow.f64 x #s(literal -1 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))) |
(*.f64 #s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(approx (/ (+ (* (+ (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) -1/12) (* x x)) 1/2) x) #s(literal -31/30240 binary64))) (-.f64 (exp.f64 x) #s(literal -1 binary64))) |
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) x)) |
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) |
(*.f64 #s(approx (/ (exp x) (- (exp (+ x x)) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -31/30240 binary64) (*.f64 x x) #s(literal 7/720 binary64)) (*.f64 x x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) |
| Outputs |
|---|
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) |
3 calls:
| 26.0ms | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 7.0ms | x |
| 5.0ms | (exp.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.4% | 1 | (exp.f64 x) |
| 98.4% | 1 | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 98.4% | 1 | x |
Compiled 10 to 8 computations (20% saved)
| Inputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) #s(literal 19/12 binary64)) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (* 1/2 x) x) (* x 1)) (* x x)) #s(literal 3/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (* 1/2 x) x) (* x 1)) (* x x)) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) (-.f64 #s(approx (* x x) x) #s(literal -1/2 binary64)))) |
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) x)) |
(/.f64 #s(approx (exp x) #s(approx (- x -1) x)) #s(approx (- (exp x) 1) x)) |
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(approx (+ (* (* 1/2 x) x) (* x 1)) x) (*.f64 x x))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) |
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #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 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(approx (+ (* (* 1/2 x) x) (* x 1)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) (*.f64 x x))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(approx (* 1/2 x) #s(literal 1/2 binary64)) x (*.f64 x #s(literal 1 binary64))) (*.f64 x x))) |
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #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)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (*.f64 x #s(literal 1 binary64))) (*.f64 x x))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x) x x) (*.f64 x x))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #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))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x) x (*.f64 x #s(literal 1 binary64))) (*.f64 x x))) |
#s(approx (/ (exp x) (- (exp x) 1)) (pow.f64 x #s(literal -1 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))) |
(*.f64 #s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(approx (/ (+ (* (+ (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) -1/12) (* x x)) 1/2) x) #s(literal -31/30240 binary64))) (-.f64 (exp.f64 x) #s(literal -1 binary64))) |
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) x)) |
| Outputs |
|---|
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
3 calls:
| 7.0ms | x |
| 6.0ms | (exp.f64 x) |
| 5.0ms | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.9% | 2 | (exp.f64 x) |
| 97.3% | 1 | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 98.9% | 2 | x |
Compiled 10 to 8 computations (20% saved)
| Inputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) #s(literal 19/12 binary64)) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (* 1/2 x) x) (* x 1)) (* x x)) #s(literal 3/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (* 1/2 x) x) (* x 1)) (* x x)) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) (-.f64 #s(approx (* x x) x) #s(literal -1/2 binary64)))) |
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) x)) |
(/.f64 #s(approx (exp x) #s(approx (- x -1) x)) #s(approx (- (exp x) 1) x)) |
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(approx (+ (* (* 1/2 x) x) (* x 1)) x) (*.f64 x x))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) |
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #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 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(approx (+ (* (* 1/2 x) x) (* x 1)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) (*.f64 x x))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(approx (* 1/2 x) #s(literal 1/2 binary64)) x (*.f64 x #s(literal 1 binary64))) (*.f64 x x))) |
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #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)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (*.f64 x #s(literal 1 binary64))) (*.f64 x x))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x) x x) (*.f64 x x))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #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))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x) x (*.f64 x #s(literal 1 binary64))) (*.f64 x x))) |
#s(approx (/ (exp x) (- (exp x) 1)) (pow.f64 x #s(literal -1 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))) |
(*.f64 #s(approx (/ (exp x) (- (exp (+ x x)) 1)) #s(approx (/ (+ (* (+ (* (+ (* -31/30240 (* x x)) 7/720) (* x x)) -1/12) (* x x)) 1/2) x) #s(literal -31/30240 binary64))) (-.f64 (exp.f64 x) #s(literal -1 binary64))) |
| Outputs |
|---|
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #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))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
3 calls:
| 6.0ms | x |
| 5.0ms | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 5.0ms | (exp.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.7% | 1 | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 90.4% | 2 | (exp.f64 x) |
| 90.4% | 2 | x |
Compiled 10 to 8 computations (20% saved)
| Inputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) #s(literal 19/12 binary64)) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (* 1/2 x) x) (* x 1)) (* x x)) #s(literal 3/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (* 1/2 x) x) (* x 1)) (* x x)) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) (-.f64 #s(approx (* x x) x) #s(literal -1/2 binary64)))) |
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) x)) |
(/.f64 #s(approx (exp x) #s(approx (- x -1) x)) #s(approx (- (exp x) 1) x)) |
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(approx (+ (* (* 1/2 x) x) (* x 1)) x) (*.f64 x x))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) |
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #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 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(approx (+ (* (* 1/2 x) x) (* x 1)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) (*.f64 x x))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(approx (* 1/2 x) #s(literal 1/2 binary64)) x (*.f64 x #s(literal 1 binary64))) (*.f64 x x))) |
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #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)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (*.f64 x #s(literal 1 binary64))) (*.f64 x x))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x) x x) (*.f64 x x))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
| Outputs |
|---|
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #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)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
3 calls:
| 32.0ms | x |
| 4.0ms | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 4.0ms | (exp.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.8% | 1 | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 88.5% | 2 | x |
| 88.5% | 2 | (exp.f64 x) |
Compiled 10 to 8 computations (20% saved)
| Inputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) #s(literal 19/12 binary64)) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (* 1/2 x) x) (* x 1)) (* x x)) #s(literal 3/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (* 1/2 x) x) (* x 1)) (* x x)) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) (-.f64 #s(approx (* x x) x) #s(literal -1/2 binary64)))) |
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) x)) |
(/.f64 #s(approx (exp x) #s(approx (- x -1) x)) #s(approx (- (exp x) 1) x)) |
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(approx (+ (* (* 1/2 x) x) (* x 1)) x) (*.f64 x x))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) |
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #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 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(approx (+ (* (* 1/2 x) x) (* x 1)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) (*.f64 x x))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(approx (* 1/2 x) #s(literal 1/2 binary64)) x (*.f64 x #s(literal 1 binary64))) (*.f64 x x))) |
| Outputs |
|---|
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #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 (fma.f64 (fma.f64 #s(literal 1/12 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 |
|---|---|---|
| 80.5% | 1 | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 82.2% | 2 | (exp.f64 x) |
| 82.2% | 2 | x |
Compiled 10 to 8 computations (20% saved)
| Inputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) #s(literal 19/12 binary64)) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (* 1/2 x) x) (* x 1)) (* x x)) #s(literal 3/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (* 1/2 x) x) (* x 1)) (* x x)) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) (-.f64 #s(approx (* x x) x) #s(literal -1/2 binary64)))) |
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) x)) |
(/.f64 #s(approx (exp x) #s(approx (- x -1) x)) #s(approx (- (exp x) 1) x)) |
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(approx (+ (* (* 1/2 x) x) (* x 1)) x) (*.f64 x x))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) |
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) |
| Outputs |
|---|
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) |
2 calls:
| 3.0ms | x |
| 3.0ms | (exp.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.5% | 1 | (exp.f64 x) |
| 80.5% | 1 | x |
Compiled 3 to 3 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) #s(literal 19/12 binary64)) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (* 1/2 x) x) (* x 1)) (* x x)) #s(literal 3/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (* 1/2 x) x) (* x 1)) (* x x)) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) (-.f64 #s(approx (* x x) x) #s(literal -1/2 binary64)))) |
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) x)) |
(/.f64 #s(approx (exp x) #s(approx (- x -1) x)) #s(approx (- (exp x) 1) x)) |
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(approx (+ (* (* 1/2 x) x) (* x 1)) x) (*.f64 x x))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) |
| Outputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(approx (+ (* (* 1/2 x) x) (* x 1)) x) (*.f64 x x))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) |
3 calls:
| 5.0ms | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 3.0ms | x |
| 2.0ms | (exp.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.2% | 2 | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 81.6% | 2 | (exp.f64 x) |
| 81.6% | 2 | x |
Compiled 10 to 8 computations (20% saved)
| Inputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) #s(literal 19/12 binary64)) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (* 1/2 x) x) (* x 1)) (* x x)) #s(literal 3/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (* 1/2 x) x) (* x 1)) (* x x)) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) (-.f64 #s(approx (* x x) x) #s(literal -1/2 binary64)))) |
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) x)) |
(/.f64 #s(approx (exp x) #s(approx (- x -1) x)) #s(approx (- (exp x) 1) x)) |
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(approx (+ (* (* 1/2 x) x) (* x 1)) x) (*.f64 x x))) |
| Outputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(approx (+ (* (* 1/2 x) x) (* x 1)) x) (*.f64 x x))) |
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) x)) |
3 calls:
| 3.0ms | x |
| 2.0ms | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 2.0ms | (exp.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.5% | 2 | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 80.5% | 2 | x |
| 80.5% | 2 | (exp.f64 x) |
Compiled 10 to 8 computations (20% saved)
| Inputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) #s(literal 19/12 binary64)) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (* 1/2 x) x) (* x 1)) (* x x)) #s(literal 3/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (* 1/2 x) x) (* x 1)) (* x x)) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) (-.f64 #s(approx (* x x) x) #s(literal -1/2 binary64)))) |
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) x)) |
(/.f64 #s(approx (exp x) #s(approx (- x -1) x)) #s(approx (- (exp x) 1) x)) |
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) x)) |
| Outputs |
|---|
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) x)) |
3 calls:
| 3.0ms | x |
| 2.0ms | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 2.0ms | (exp.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.6% | 1 | x |
| 62.6% | 1 | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 62.6% | 1 | (exp.f64 x) |
Compiled 10 to 8 computations (20% saved)
| Inputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) #s(literal 19/12 binary64)) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (* 1/2 x) x) (* x 1)) (* x x)) #s(literal 3/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (* 1/2 x) x) (* x 1)) (* x x)) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) (-.f64 #s(approx (* x x) x) #s(literal -1/2 binary64)))) |
| Outputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (* 1/2 x) x) (* x 1)) (* x x)) x)) |
3 calls:
| 4.0ms | (exp.f64 x) |
| 2.0ms | x |
| 2.0ms | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 3.4% | 1 | (exp.f64 x) |
| 3.4% | 1 | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 3.4% | 1 | x |
Compiled 10 to 8 computations (20% saved)
| Inputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) #s(literal 19/12 binary64)) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (* 1/2 x) x) (* x 1)) (* x x)) #s(literal 3/2 binary64))) |
| Outputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (* 1/2 x) x) (* x 1)) (* x x)) #s(literal 3/2 binary64))) |
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(literal 19/12 binary64)) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) #s(literal 19/12 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 |
|---|---|---|
| 12.0ms | -20.167785406587225 | -0.012741589437829253 |
| 7.0ms | 128× | 0 | valid |
Compiled 218 to 176 computations (19.3% saved)
ival-exp: 2.0ms (43.8% of total)ival-div: 1.0ms (21.9% of total)ival-expm1: 1.0ms (21.9% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 1.7427780671708696e-9 |
Compiled 9 to 9 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.7427780671708696e-9 | 0.9873392409461412 |
Compiled 9 to 9 computations (0% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 50.0ms | -32856135.310808916 | -20.167785406587225 |
| 6.0ms | 144× | 0 | valid |
Compiled 307 to 233 computations (24.1% saved)
ival-exp: 2.0ms (54.6% of total)ival-div: 1.0ms (27.3% of total)ival-expm1: 1.0ms (27.3% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.7427780671708696e-9 | 0.9873392409461412 |
Compiled 9 to 9 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999999999999871 | 1.0 |
Compiled 9 to 9 computations (0% saved)
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 75 | 328 |
| 1 | 99 | 328 |
| 2 | 242 | 316 |
| 3 | 2003 | 316 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) |
(if (<=.f64 x #s(literal -8782019273372467/2251799813685248 binary64)) (/.f64 (exp.f64 x) #s(approx (- (exp x) 1) x)) #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) |
(if (<=.f64 (exp.f64 x) #s(literal 0 binary64)) (/.f64 #s(approx (exp x) #s(literal 1 binary64)) #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))) #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) |
(if (<=.f64 (exp.f64 x) #s(literal 4835703278458517/2417851639229258349412352 binary64)) (/.f64 #s(approx (exp x) #s(literal 1 binary64)) #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)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) |
(if (<=.f64 x #s(literal -700 binary64)) (/.f64 #s(approx (exp x) #s(literal 1 binary64)) #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 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) |
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) |
(if (<=.f64 (exp.f64 x) #s(literal 4835703278458517/2417851639229258349412352 binary64)) #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(approx (+ (* (* 1/2 x) x) (* x 1)) x) (*.f64 x x))) #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) |
(if (<=.f64 (exp.f64 x) #s(literal 2251799813685219/2251799813685248 binary64)) #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(approx (+ (* (* 1/2 x) x) (* x 1)) x) (*.f64 x x))) (/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) x))) |
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (* 1/2 x) x) (* x 1)) (* x x)) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (* 1/2 x) x) (* x 1)) (* x x)) #s(literal 3/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(literal 19/12 binary64)) |
| Outputs |
|---|
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) |
(if (<=.f64 x #s(literal -8782019273372467/2251799813685248 binary64)) (/.f64 (exp.f64 x) #s(approx (- (exp x) 1) x)) #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) |
(if (<=.f64 (exp.f64 x) #s(literal 0 binary64)) (/.f64 #s(approx (exp x) #s(literal 1 binary64)) #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))) #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) |
(if (<=.f64 (exp.f64 x) #s(literal 4835703278458517/2417851639229258349412352 binary64)) (/.f64 #s(approx (exp x) #s(literal 1 binary64)) #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)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) |
(if (<=.f64 x #s(literal -700 binary64)) (/.f64 #s(approx (exp x) #s(literal 1 binary64)) #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 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) |
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) |
(if (<=.f64 (exp.f64 x) #s(literal 4835703278458517/2417851639229258349412352 binary64)) #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(approx (+ (* (* 1/2 x) x) (* x 1)) x) (*.f64 x x))) #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) |
(if (<=.f64 (exp.f64 x) #s(literal 2251799813685219/2251799813685248 binary64)) #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(approx (+ (* (* 1/2 x) x) (* x 1)) x) (*.f64 x x))) (/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) x))) |
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (* 1/2 x) x) (* x 1)) (* x x)) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (* 1/2 x) x) (* x 1)) (* x x)) #s(literal 3/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(literal 19/12 binary64)) |
| 1× | fuel |
Compiled 336 to 77 computations (77.1% saved)
Compiled 698 to 176 computations (74.8% saved)
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