
Time bar (total: 2.9s)
| 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)
| 430.0ms | 8 256× | 0 | valid |
ival-exp: 89.0ms (41.4% of total)ival-div: 62.0ms (28.8% of total)ival-expm1: 59.0ms (27.4% of total)adjust: 2.0ms (0.9% of total)ival-assert: 2.0ms (0.9% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 179 | 0 | - | 0 | - | (-.f64 (exp.f64 x) #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (exp.f64 x) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 (exp.f64 x) #s(literal 1 binary64)) | cancellation | 179 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 179 | 0 |
| - | 0 | 77 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 179 | 0 | 0 |
| - | 0 | 0 | 77 |
| number | freq |
|---|---|
| 0 | 77 |
| 1 | 179 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 23.0ms | 512× | 0 | valid |
Compiled 41 to 19 computations (53.7% saved)
ival-exp: 4.0ms (33.7% of total)ival-div: 3.0ms (25.2% of total)ival-expm1: 3.0ms (25.2% 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 |
|---|---|---|
| ▶ | 34.7% | (/.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))))) |
(exp.f64 (+.f64 x #s(literal 0 binary64))) |
(exp.f64 x) |
(+.f64 (sinh.f64 x) (cosh.f64 x)) |
(+.f64 (cosh.f64 x) (sinh.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 (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 57 | 7 | 64 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 57 | 8 | 65 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 34.7% | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| ▶ | 100.0% | (/.f64 (exp.f64 x) (expm1.f64 x)) |
| 98.6% | (/.f64 (exp.f64 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))) | |
| 97.5% | (/.f64 (exp.f64 x) #s(approx (- (exp x) 1) x)) | |
| ▶ | 70.1% | #s(approx (/ (exp x) (- (exp x) 1)) (pow.f64 x #s(literal -1 binary64))) |
| ▶ | 70.5% | #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)) |
| ▶ | 70.6% | #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)) |
| ▶ | 70.3% | #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) |
Compiled 197 to 143 computations (27.4% 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 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) |
(fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) |
#s(literal 1/12 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(approx (/ (exp x) (- (exp x) 1)) (pow.f64 x #s(literal -1 binary64))) |
(pow.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 (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (/ 1 x))) |
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x))) |
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x))) |
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(hole binary64 1)) |
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(hole binary64 (+ 1 (* 1/2 x)))) |
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/12 x)))))) |
#s(approx (+ (* 1/12 x) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* 1/12 x) 1/2) #s(hole binary64 (+ 1/2 (* 1/12 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 (pow x -1) #s(hole binary64 (/ 1 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 (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (* 1/12 x))) |
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1/12 (* 1/2 (/ 1 x)))))) |
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))) |
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(hole binary64 (* 1/12 (pow x 2)))) |
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x)))))) |
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))) |
#s(approx (+ (* 1/12 x) 1/2) #s(hole binary64 (* 1/12 x))) |
#s(approx (+ (* 1/12 x) 1/2) #s(hole binary64 (* x (+ 1/12 (* 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 (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12))))) |
#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 | |
|---|---|---|---|---|
| 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)) (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (+ (* (+ (* 1/12 x) 1/2) x) 1) (+ (* 1/12 x) 1/2) 1/12 (/ (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 (/ (exp x) (- (exp x) 1)) (pow x -1) -1) |
| 3.0ms | 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)) (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (+ (* (+ (* 1/12 x) 1/2) x) 1) (+ (* 1/12 x) 1/2) 1/12 (/ (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 (/ (exp x) (- (exp x) 1)) (pow x -1) -1) |
| 2.0ms | 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)) (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (+ (* (+ (* 1/12 x) 1/2) x) 1) (+ (* 1/12 x) 1/2) 1/12 (/ (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 (/ (exp x) (- (exp x) 1)) (pow x -1) -1) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 206 | 1427 |
| 0 | 226 | 1333 |
| 1 | 950 | 1299 |
| 0 | 8034 | 1286 |
| 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 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) |
(fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) |
#s(literal 1/12 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(approx (/ (exp x) (- (exp x) 1)) (pow.f64 x #s(literal -1 binary64))) |
(pow.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 (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (/ 1 x))) |
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x))) |
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x))) |
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(hole binary64 1)) |
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(hole binary64 (+ 1 (* 1/2 x)))) |
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/12 x)))))) |
#s(approx (+ (* 1/12 x) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* 1/12 x) 1/2) #s(hole binary64 (+ 1/2 (* 1/12 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 (pow x -1) #s(hole binary64 (/ 1 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 (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (* 1/12 x))) |
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1/12 (* 1/2 (/ 1 x)))))) |
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))) |
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(hole binary64 (* 1/12 (pow x 2)))) |
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x)))))) |
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))) |
#s(approx (+ (* 1/12 x) 1/2) #s(hole binary64 (* 1/12 x))) |
#s(approx (+ (* 1/12 x) 1/2) #s(hole binary64 (* x (+ 1/12 (* 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 (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12))))) |
#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 |
|---|
(*.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 #s(literal 1 binary64) (exp.f64 x)) |
(*.f64 (exp.f64 x) #s(literal 1 binary64)) |
(/.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))))) |
(neg.f64 (*.f64 (exp.f64 x) #s(literal -1 binary64))) |
(exp.f64 (+.f64 x #s(literal 0 binary64))) |
(exp.f64 x) |
(+.f64 (sinh.f64 x) (cosh.f64 x)) |
(+.f64 (cosh.f64 x) (sinh.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 #s(literal 1 binary64) (exp.f64 x) #s(literal -1 binary64)) |
(fma.f64 (exp.f64 x) #s(literal 1 binary64) #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(approx (/ (exp x) (- (exp x) 1)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
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(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x)) (pow.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal -1/2 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x)) (pow.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x) #s(literal 2 binary64)))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 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 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64) #s(literal 1/2 binary64))) |
(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))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) x)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64) #s(literal 1/2 binary64))) |
(fma.f64 x (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64))) |
(fma.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 x #s(literal 1/12 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64) #s(literal 1/2 binary64))) |
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x))) (/.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)))) |
(-.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x) #s(literal -1/2 binary64)) |
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))) x)) |
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)))) |
(+.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (/.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x) #s(literal 3 binary64)) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x)) (pow.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x)) (pow.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x) #s(literal 2 binary64))))) |
(+.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64))) |
(+.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x) #s(literal 1/2 binary64)) |
(+.f64 (*.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))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x)) |
(/.f64 (-.f64 #s(literal 1/1728 binary64) (pow.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 3 binary64))) (+.f64 #s(literal 1/144 binary64) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 x x)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/144 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal -1/12 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal -1/373248000 binary64) #s(literal 1/1728 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal -1/12 binary64)) #s(literal 1/144 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal -1/373248000 binary64) #s(literal 1/1728 binary64))) (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/144 binary64) (*.f64 #s(literal -1/8640 binary64) (*.f64 x x)))))) |
(/.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) |
(/.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/144 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal -1/12 binary64))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal -1/373248000 binary64) #s(literal 1/1728 binary64)) (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal -1/12 binary64)) #s(literal 1/144 binary64))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal -1/373248000 binary64) #s(literal 1/1728 binary64)) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/144 binary64) (*.f64 #s(literal -1/8640 binary64) (*.f64 x x))))) |
(fma.f64 (*.f64 #s(literal -1/720 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 1/12 binary64)) |
(fma.f64 (*.f64 #s(literal -1/720 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal 1/12 binary64)) |
(fma.f64 (*.f64 #s(literal -1/720 binary64) x) x #s(literal 1/12 binary64)) |
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) |
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) |
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) |
(fma.f64 x (*.f64 #s(literal -1/720 binary64) x) #s(literal 1/12 binary64)) |
(-.f64 (/.f64 #s(literal 1/144 binary64) (-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) (/.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal -1/12 binary64))) (/.f64 #s(literal 1/144 binary64) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal -1/12 binary64)))) |
(-.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal -1/12 binary64)) |
(-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 (neg.f64 x) x) #s(literal -1/720 binary64))) |
(-.f64 #s(literal 1/12 binary64) (*.f64 (neg.f64 x) (*.f64 #s(literal -1/720 binary64) x))) |
(-.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) |
(+.f64 (/.f64 #s(literal 1/1728 binary64) (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal -1/12 binary64)) #s(literal 1/144 binary64))) (/.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal -1/12 binary64)) #s(literal 1/144 binary64)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/144 binary64) (*.f64 #s(literal -1/8640 binary64) (*.f64 x x))))) (/.f64 #s(literal 1/1728 binary64) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/144 binary64) (*.f64 #s(literal -1/8640 binary64) (*.f64 x x)))))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) #s(literal 1/12 binary64)) |
(+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))) |
(*.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 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)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
#s(literal -1/720 binary64) |
#s(approx (/ (exp x) (- (exp x) 1)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 x #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) |
(pow.f64 x #s(literal -1 binary64)) |
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) x) |
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x))) |
(neg.f64 (/.f64 #s(literal -1 binary64) x)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) (sinh.f64 (*.f64 (log.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 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
#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) (fma.f64 (*.f64 x x) #s(literal 1/2 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 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
#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 (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (pow.f64 x #s(literal -1 binary64))) |
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (* (+ (* 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 (+ (* (+ (* 1/12 x) 1/2) x) 1) #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
#s(approx (+ (* (+ (* 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 (+ (* 1/12 x) 1/2) #s(literal 1/2 binary64)) |
#s(approx (+ (* 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) 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 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
#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 (pow x -1) (pow.f64 x #s(literal -1 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 (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 #s(literal 1/12 binary64) x)) |
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))) |
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (fma.f64 #s(literal 1/12 binary64) x (fma.f64 (pow.f64 x #s(literal -2 binary64)) x #s(literal 1/2 binary64)))) |
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) |
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x)) |
#s(approx (+ (* (+ (* 1/12 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/12 binary64) x (fma.f64 (pow.f64 x #s(literal -2 binary64)) x #s(literal 1/2 binary64))) x)) |
#s(approx (+ (* 1/12 x) 1/2) (*.f64 #s(literal 1/12 binary64) x)) |
#s(approx (+ (* 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) 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 (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) x) #s(literal -1 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)) (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 11 774 to 1 829 computations (84.5% saved)
16 alts after pruning (11 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 461 | 10 | 471 |
| Fresh | 1 | 1 | 2 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 463 | 16 | 479 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 34.7% | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| ✓ | 100.0% | (/.f64 (exp.f64 x) (expm1.f64 x)) |
| ▶ | 97.5% | (/.f64 (exp.f64 x) #s(approx (- (exp x) 1) x)) |
| 32.3% | #s(approx (/ (exp x) (- (exp x) 1)) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64))) | |
| ✓ | 70.5% | #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)) |
| ✓ | 70.6% | #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)) |
| ▶ | 70.6% | #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
| 42.8% | #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) x x) (*.f64 x x))) | |
| 69.1% | #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64))) x #s(literal 1 binary64)) x)) | |
| ▶ | 70.6% | #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))) x)) |
| ✓ | 70.3% | #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) |
| 70.1% | #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))) x)) | |
| 70.1% | #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(literal 1 binary64)) x)) | |
| ▶ | 3.3% | #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)))) |
| 3.7% | #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 #s(literal 1/12 binary64) x))) | |
| ▶ | 3.5% | #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64))) |
Compiled 525 to 364 computations (30.7% saved)
| Inputs |
|---|
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) x)) |
(exp.f64 x) |
x |
#s(approx (- (exp x) 1) x) |
#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) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) |
#s(literal 1/12 binary64) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))) x)) |
(/.f64 (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))) x) |
(fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) |
(*.f64 x x) |
#s(literal 1 binary64) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
(/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) |
(fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) |
(/.f64 #s(literal 1/2 binary64) x) |
#s(literal -1/12 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 (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (/ 1 x))) |
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x))) |
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x))) |
#s(approx (+ (* 1/12 x) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* 1/12 x) 1/2) #s(hole binary64 (+ 1/2 (* 1/12 x)))) |
#s(approx (/ (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) x) #s(hole binary64 (/ 1 x))) |
#s(approx (/ (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) x) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x))) |
#s(approx (/ (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) x) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x))) |
#s(approx (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) #s(hole binary64 1)) |
#s(approx (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) #s(hole binary64 (+ 1 (* 1/2 x)))) |
#s(approx (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/12 x)))))) |
#s(approx (+ (* (* x x) 1/12) 1) #s(hole binary64 1)) |
#s(approx (+ (* (* x x) 1/12) 1) #s(hole binary64 (+ 1 (* 1/12 (pow x 2))))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) #s(hole binary64 (/ 1 x))) |
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x))) |
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x))) |
#s(approx (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) #s(hole binary64 1)) |
#s(approx (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) #s(hole binary64 (+ 1 (* 1/2 x)))) |
#s(approx (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/12 x)))))) |
#s(approx (- (/ 1/2 x) -1/12) #s(hole binary64 (/ 1/2 x))) |
#s(approx (- (/ 1/2 x) -1/12) #s(hole binary64 (/ (+ 1/2 (* 1/12 x)) x))) |
#s(approx (/ 1/2 x) #s(hole binary64 (/ 1/2 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 (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (* 1/12 x))) |
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1/12 (* 1/2 (/ 1 x)))))) |
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))) |
#s(approx (+ (* 1/12 x) 1/2) #s(hole binary64 (* 1/12 x))) |
#s(approx (+ (* 1/12 x) 1/2) #s(hole binary64 (* x (+ 1/12 (* 1/2 (/ 1 x)))))) |
#s(approx (/ (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) x) #s(hole binary64 (* 1/12 x))) |
#s(approx (/ (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) x) #s(hole binary64 (* x (+ 1/12 (* 1/2 (/ 1 x)))))) |
#s(approx (/ (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) x) #s(hole binary64 (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))) |
#s(approx (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) #s(hole binary64 (* 1/12 (pow x 2)))) |
#s(approx (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) #s(hole binary64 (* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x)))))) |
#s(approx (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) #s(hole binary64 (* (pow x 2) (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))) |
#s(approx (+ (* (* x x) 1/12) 1) #s(hole binary64 (* 1/12 (pow x 2)))) |
#s(approx (+ (* (* x x) 1/12) 1) #s(hole binary64 (* (pow x 2) (+ 1/12 (/ 1 (pow x 2)))))) |
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) #s(hole binary64 (* 1/12 x))) |
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) #s(hole binary64 (* x (+ 1/12 (* 1/2 (/ 1 x)))))) |
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) #s(hole binary64 (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))) |
#s(approx (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) #s(hole binary64 (* 1/12 (pow x 2)))) |
#s(approx (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) #s(hole binary64 (* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x)))))) |
#s(approx (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) #s(hole binary64 (* (pow x 2) (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))) |
#s(approx (- (/ 1/2 x) -1/12) #s(hole binary64 1/12)) |
#s(approx (- (/ 1/2 x) -1/12) #s(hole binary64 (+ 1/12 (* 1/2 (/ 1 x))))) |
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12))))) |
#s(approx (/ (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12))))) |
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | 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 (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (+ (* 1/12 x) 1/2) 1/12 (/ (exp x) (- (exp x) 1)) (/ (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) x) (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) (+ (* (* x x) 1/12) 1) (* x x) 1 (/ (exp x) (- (exp x) 1)) (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) (- (/ 1/2 x) -1/12) (/ 1/2 x) -1/12) |
| 2.0ms | 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 (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (+ (* 1/12 x) 1/2) 1/12 (/ (exp x) (- (exp x) 1)) (/ (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) x) (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) (+ (* (* x x) 1/12) 1) (* x x) 1 (/ (exp x) (- (exp x) 1)) (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) (- (/ 1/2 x) -1/12) (/ 1/2 x) -1/12) |
| 2.0ms | 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 (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (+ (* 1/12 x) 1/2) 1/12 (/ (exp x) (- (exp x) 1)) (/ (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) x) (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) (+ (* (* x x) 1/12) 1) (* x x) 1 (/ (exp x) (- (exp x) 1)) (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) (- (/ 1/2 x) -1/12) (/ 1/2 x) -1/12) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 166 | 1239 |
| 0 | 185 | 1169 |
| 1 | 778 | 1164 |
| 0 | 6104 | 1069 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) x)) |
(exp.f64 x) |
x |
#s(approx (- (exp x) 1) x) |
#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) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) |
#s(literal 1/12 binary64) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))) x)) |
(/.f64 (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))) x) |
(fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) |
(*.f64 x x) |
#s(literal 1 binary64) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
(/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) |
(fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) |
(/.f64 #s(literal 1/2 binary64) x) |
#s(literal -1/12 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 (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (/ 1 x))) |
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x))) |
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x))) |
#s(approx (+ (* 1/12 x) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* 1/12 x) 1/2) #s(hole binary64 (+ 1/2 (* 1/12 x)))) |
#s(approx (/ (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) x) #s(hole binary64 (/ 1 x))) |
#s(approx (/ (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) x) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x))) |
#s(approx (/ (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) x) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x))) |
#s(approx (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) #s(hole binary64 1)) |
#s(approx (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) #s(hole binary64 (+ 1 (* 1/2 x)))) |
#s(approx (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/12 x)))))) |
#s(approx (+ (* (* x x) 1/12) 1) #s(hole binary64 1)) |
#s(approx (+ (* (* x x) 1/12) 1) #s(hole binary64 (+ 1 (* 1/12 (pow x 2))))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) #s(hole binary64 (/ 1 x))) |
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x))) |
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x))) |
#s(approx (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) #s(hole binary64 1)) |
#s(approx (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) #s(hole binary64 (+ 1 (* 1/2 x)))) |
#s(approx (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/12 x)))))) |
#s(approx (- (/ 1/2 x) -1/12) #s(hole binary64 (/ 1/2 x))) |
#s(approx (- (/ 1/2 x) -1/12) #s(hole binary64 (/ (+ 1/2 (* 1/12 x)) x))) |
#s(approx (/ 1/2 x) #s(hole binary64 (/ 1/2 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 (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (* 1/12 x))) |
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1/12 (* 1/2 (/ 1 x)))))) |
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))) |
#s(approx (+ (* 1/12 x) 1/2) #s(hole binary64 (* 1/12 x))) |
#s(approx (+ (* 1/12 x) 1/2) #s(hole binary64 (* x (+ 1/12 (* 1/2 (/ 1 x)))))) |
#s(approx (/ (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) x) #s(hole binary64 (* 1/12 x))) |
#s(approx (/ (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) x) #s(hole binary64 (* x (+ 1/12 (* 1/2 (/ 1 x)))))) |
#s(approx (/ (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) x) #s(hole binary64 (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))) |
#s(approx (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) #s(hole binary64 (* 1/12 (pow x 2)))) |
#s(approx (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) #s(hole binary64 (* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x)))))) |
#s(approx (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) #s(hole binary64 (* (pow x 2) (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))) |
#s(approx (+ (* (* x x) 1/12) 1) #s(hole binary64 (* 1/12 (pow x 2)))) |
#s(approx (+ (* (* x x) 1/12) 1) #s(hole binary64 (* (pow x 2) (+ 1/12 (/ 1 (pow x 2)))))) |
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) #s(hole binary64 (* 1/12 x))) |
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) #s(hole binary64 (* x (+ 1/12 (* 1/2 (/ 1 x)))))) |
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) #s(hole binary64 (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))) |
#s(approx (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) #s(hole binary64 (* 1/12 (pow x 2)))) |
#s(approx (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) #s(hole binary64 (* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x)))))) |
#s(approx (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) #s(hole binary64 (* (pow x 2) (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))) |
#s(approx (- (/ 1/2 x) -1/12) #s(hole binary64 1/12)) |
#s(approx (- (/ 1/2 x) -1/12) #s(hole binary64 (+ 1/12 (* 1/2 (/ 1 x))))) |
#s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12))))) |
#s(approx (/ (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12))))) |
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12))))) |
| Outputs |
|---|
(/.f64 (neg.f64 (neg.f64 (exp.f64 x))) (neg.f64 (neg.f64 #s(approx (- (exp x) 1) x)))) |
(/.f64 (neg.f64 (exp.f64 x)) (neg.f64 #s(approx (- (exp x) 1) x))) |
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) x)) |
(neg.f64 (/.f64 (neg.f64 (exp.f64 x)) #s(approx (- (exp x) 1) x))) |
(neg.f64 (/.f64 (exp.f64 x) (neg.f64 #s(approx (- (exp x) 1) x)))) |
(+.f64 (/.f64 (cosh.f64 x) #s(approx (- (exp x) 1) x)) (/.f64 (sinh.f64 x) #s(approx (- (exp x) 1) x))) |
(*.f64 #s(literal 1 binary64) (exp.f64 x)) |
(*.f64 (exp.f64 x) #s(literal 1 binary64)) |
(/.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))))) |
(exp.f64 (+.f64 x #s(literal 0 binary64))) |
(exp.f64 x) |
(+.f64 (sinh.f64 x) (cosh.f64 x)) |
(+.f64 (cosh.f64 x) (sinh.f64 x)) |
x |
#s(approx (- (exp x) 1) x) |
#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) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) x) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) x) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal -1/12 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/144 binary64) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/12 binary64) x))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/144 binary64) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/144 binary64) (*.f64 x x) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/1728 binary64) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/1728 binary64) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/144 binary64) (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/24 binary64) x))))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/144 binary64) (*.f64 x x))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x))) |
(/.f64 (fma.f64 #s(literal 1/144 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/1728 binary64) #s(literal 1/8 binary64)) (fma.f64 (*.f64 #s(literal 1/12 binary64) x) (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/1728 binary64) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/144 binary64) (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/24 binary64) x)))) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) x)) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) |
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) |
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x))) (/.f64 (*.f64 #s(literal 1/144 binary64) (*.f64 x x)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x)))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/144 binary64) (*.f64 x x)) (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)))) |
(-.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal -1/2 binary64)) |
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 x) #s(literal 1/12 binary64))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/12 binary64) x)) |
(+.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (*.f64 #s(literal 1/12 binary64) x) (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (/.f64 (pow.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/12 binary64) x) (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 1/144 binary64) (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/24 binary64) x)))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/144 binary64) (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/24 binary64) x))))) |
(+.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x)) |
#s(literal 1/12 binary64) |
#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 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) (*.f64 (/.f64 #s(literal 1/2 binary64) x) x)) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x))) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (/.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x)) (*.f64 x (/.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x))) (pow.f64 x #s(literal -2 binary64))) (-.f64 (*.f64 x (/.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x)) (pow.f64 x #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (*.f64 x (/.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x)) (*.f64 x (/.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x)))) (-.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 x (/.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x)))) |
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(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) (*.f64 x x)) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) (*.f64 x x))) (pow.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) (*.f64 x x)) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) (neg.f64 x)) (neg.f64 x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) (fabs.f64 x)) (fabs.f64 x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) x) x #s(literal 1 binary64)) |
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64))) #s(literal 1 binary64)) |
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) (*.f64 x x)) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) (*.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) (*.f64 x x)) #s(literal 1 binary64)) |
(fma.f64 x (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) x) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) (*.f64 x x)) #s(literal 2 binary64)) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal -1 binary64)))) |
(-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) (*.f64 x x)) #s(literal -1 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) x)) x)) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64))) (*.f64 x x))) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 x) x) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) (*.f64 x x)) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) (*.f64 x x))) (pow.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) (*.f64 x x)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) (*.f64 x x))) (pow.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) (*.f64 x x)) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) (*.f64 x x)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) (*.f64 x x))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1/144 binary64))) (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) #s(literal -1/1728 binary64))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal -1/24 binary64) x) #s(literal 1/144 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1/144 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) #s(literal -1/1728 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal -1/24 binary64) x) #s(literal 1/144 binary64)))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64))) (/.f64 #s(literal 1/144 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal -1/24 binary64) x) #s(literal 1/144 binary64)))) (/.f64 #s(literal -1/1728 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal -1/24 binary64) x) #s(literal 1/144 binary64))))) |
(-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) |
(/.f64 #s(literal -1/2 binary64) (neg.f64 x)) |
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 x))) |
(/.f64 #s(literal 1/2 binary64) x) |
(neg.f64 (/.f64 #s(literal -1/2 binary64) x)) |
#s(literal -1/12 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 (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 (/ (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) x) (pow.f64 x #s(literal -1 binary64))) |
#s(approx (/ (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) x) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) |
#s(approx (/ (+ (* x 1/2) (+ (* (* x x) 1/12) 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 (+ (* 1/12 x) 1/2) #s(literal 1/2 binary64)) |
#s(approx (+ (* 1/12 x) 1/2) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))) |
#s(approx (/ (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) x) (pow.f64 x #s(literal -1 binary64))) |
#s(approx (/ (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) x) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) |
#s(approx (/ (+ (* x 1/2) (+ (* (* x x) 1/12) 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 1/2) (+ (* (* x x) 1/12) 1)) #s(literal 1 binary64)) |
#s(approx (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
#s(approx (+ (* x 1/2) (+ (* (* x x) 1/12) 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) 1/12) 1) #s(literal 1 binary64)) |
#s(approx (+ (* (* x x) 1/12) 1) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))) |
#s(approx (* x x) (*.f64 x x)) |
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) (pow.f64 x #s(literal -1 binary64))) |
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) |
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x 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 (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) #s(literal 1 binary64)) |
#s(approx (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
#s(approx (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (- (/ 1/2 x) -1/12) (/.f64 #s(literal 1/2 binary64) x)) |
#s(approx (- (/ 1/2 x) -1/12) (/.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x)) |
#s(approx (/ 1/2 x) (/.f64 #s(literal 1/2 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)) |
#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 (/ (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) x) (*.f64 #s(literal 1/12 binary64) x)) |
#s(approx (/ (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) x) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)) x)) |
#s(approx (/ (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) x) (*.f64 (+.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) x) #s(literal 1/12 binary64)) x)) |
#s(approx (+ (* 1/12 x) 1/2) (*.f64 #s(literal 1/12 binary64) x)) |
#s(approx (+ (* 1/12 x) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)) x)) |
#s(approx (/ (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) x) (*.f64 #s(literal 1/12 binary64) x)) |
#s(approx (/ (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) x) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)) x)) |
#s(approx (/ (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) x) (*.f64 (+.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) x) #s(literal 1/12 binary64)) x)) |
#s(approx (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) |
#s(approx (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)) x) x)) |
#s(approx (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64))) |
#s(approx (+ (* (* x x) 1/12) 1) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) |
#s(approx (+ (* (* x x) 1/12) 1) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))) |
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) (*.f64 #s(literal 1/12 binary64) x)) |
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)) x)) |
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) (*.f64 (+.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) x) #s(literal 1/12 binary64)) x)) |
#s(approx (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) |
#s(approx (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)) x) x)) |
#s(approx (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)) x) x #s(literal 1 binary64))) |
#s(approx (- (/ 1/2 x) -1/12) #s(literal 1/12 binary64)) |
#s(approx (- (/ 1/2 x) -1/12) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64))) |
#s(approx (/ (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) x) (*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) x) #s(literal 1/12 binary64)))) |
#s(approx (/ (+ (* x 1/2) (+ (* (* x x) 1/12) 1)) x) (*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) x) #s(literal 1/12 binary64)))) |
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) (*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) x) #s(literal 1/12 binary64)))) |
Compiled 9 522 to 1 421 computations (85.1% saved)
17 alts after pruning (7 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 369 | 4 | 373 |
| Fresh | 3 | 3 | 6 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 5 | 5 |
| Total | 372 | 17 | 389 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 34.7% | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| ✓ | 100.0% | (/.f64 (exp.f64 x) (expm1.f64 x)) |
| ✓ | 97.5% | (/.f64 (exp.f64 x) #s(approx (- (exp x) 1) x)) |
| ▶ | 69.6% | (/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) x)) |
| ▶ | 70.1% | (/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) x)) |
| ▶ | 70.6% | #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) x (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x))) |
| 32.3% | #s(approx (/ (exp x) (- (exp x) 1)) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64))) | |
| ✓ | 70.5% | #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)) |
| ✓ | 70.6% | #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)) |
| ✓ | 70.6% | #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
| ▶ | 42.8% | #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) x x) (*.f64 x x))) |
| 69.1% | #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64))) x #s(literal 1 binary64)) x)) | |
| ✓ | 70.6% | #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))) x)) |
| ✓ | 70.3% | #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) |
| ▶ | 3.7% | #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) (*.f64 #s(literal 1/12 binary64) x))) |
| ✓ | 3.3% | #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)))) |
| ✓ | 3.5% | #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64))) |
Compiled 422 to 293 computations (30.6% saved)
| Inputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) x (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) x (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x)) |
(/.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) |
(fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) |
(*.f64 x x) |
#s(literal 1/12 binary64) |
#s(literal 1 binary64) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) (*.f64 #s(literal 1/12 binary64) x))) |
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) (*.f64 #s(literal 1/12 binary64) x)) |
(*.f64 #s(literal 1/12 binary64) 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) |
(/.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(literal -1 binary64) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) x x) (*.f64 x x))) |
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) x x) (*.f64 x x)) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) x x) |
(*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) |
(fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 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 (+ (* (/ 1/2 x) x) (/ (+ (* (* x x) 1/12) 1) x)) #s(hole binary64 (/ 1 x))) |
#s(approx (+ (* (/ 1/2 x) x) (/ (+ (* (* x x) 1/12) 1) x)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x))) |
#s(approx (+ (* (/ 1/2 x) x) (/ (+ (* (* x x) 1/12) 1) x)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x))) |
#s(approx (/ 1/2 x) #s(hole binary64 (/ 1/2 x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (/ (+ (* (* x x) 1/12) 1) x) #s(hole binary64 (/ 1 x))) |
#s(approx (/ (+ (* (* x x) 1/12) 1) x) #s(hole binary64 (/ (+ 1 (* 1/12 (pow x 2))) x))) |
#s(approx (+ (* (* x x) 1/12) 1) #s(hole binary64 1)) |
#s(approx (+ (* (* x x) 1/12) 1) #s(hole binary64 (+ 1 (* 1/12 (pow x 2))))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) #s(hole binary64 (/ 1 x))) |
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x))) |
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x))) |
#s(approx (* 1/12 x) #s(hole binary64 (* 1/12 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 (- x -1) #s(hole binary64 1)) |
#s(approx (- x -1) #s(hole binary64 (+ 1 x))) |
#s(approx (/ (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) (* x x)) #s(hole binary64 (/ 1 x))) |
#s(approx (/ (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) (* x x)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x))) |
#s(approx (/ (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) (* x x)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x))) |
#s(approx (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) #s(hole binary64 x)) |
#s(approx (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) #s(hole binary64 (* x (+ 1 (* 1/2 x))))) |
#s(approx (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/12 x))))))) |
#s(approx (* (+ (* 1/12 x) 1/2) x) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (+ (* 1/12 x) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* 1/12 x))))) |
#s(approx (+ (* 1/12 x) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* 1/12 x) 1/2) #s(hole binary64 (+ 1/2 (* 1/12 x)))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (exp x) (- (exp x) 1)))) |
#s(approx (+ (* (/ 1/2 x) x) (/ (+ (* (* x x) 1/12) 1) x)) #s(hole binary64 (* 1/12 x))) |
#s(approx (+ (* (/ 1/2 x) x) (/ (+ (* (* x x) 1/12) 1) x)) #s(hole binary64 (* x (+ 1/12 (* 1/2 (/ 1 x)))))) |
#s(approx (+ (* (/ 1/2 x) x) (/ (+ (* (* x x) 1/12) 1) x)) #s(hole binary64 (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))) |
#s(approx (/ (+ (* (* x x) 1/12) 1) x) #s(hole binary64 (* 1/12 x))) |
#s(approx (/ (+ (* (* x x) 1/12) 1) x) #s(hole binary64 (* x (+ 1/12 (/ 1 (pow x 2)))))) |
#s(approx (+ (* (* x x) 1/12) 1) #s(hole binary64 (* 1/12 (pow x 2)))) |
#s(approx (+ (* (* x x) 1/12) 1) #s(hole binary64 (* (pow x 2) (+ 1/12 (/ 1 (pow x 2)))))) |
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) #s(hole binary64 (* 1/12 x))) |
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) #s(hole binary64 (* x (+ 1/12 (* 1/2 (/ 1 x)))))) |
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) #s(hole binary64 (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))) |
#s(approx (exp x) #s(hole binary64 (exp x))) |
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1))) |
#s(approx (- x -1) #s(hole binary64 x)) |
#s(approx (- x -1) #s(hole binary64 (* x (+ 1 (/ 1 x))))) |
#s(approx (/ (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) (* x x)) #s(hole binary64 (* 1/12 x))) |
#s(approx (/ (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) (* x x)) #s(hole binary64 (* x (+ 1/12 (* 1/2 (/ 1 x)))))) |
#s(approx (/ (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) (* x x)) #s(hole binary64 (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))) |
#s(approx (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) #s(hole binary64 (* 1/12 (pow x 3)))) |
#s(approx (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) #s(hole binary64 (* (pow x 3) (+ 1/12 (* 1/2 (/ 1 x)))))) |
#s(approx (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) #s(hole binary64 (* (pow x 3) (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))) |
#s(approx (* (+ (* 1/12 x) 1/2) x) #s(hole binary64 (* 1/12 (pow x 2)))) |
#s(approx (* (+ (* 1/12 x) 1/2) x) #s(hole binary64 (* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x)))))) |
#s(approx (+ (* 1/12 x) 1/2) #s(hole binary64 (* 1/12 x))) |
#s(approx (+ (* 1/12 x) 1/2) #s(hole binary64 (* x (+ 1/12 (* 1/2 (/ 1 x)))))) |
#s(approx (+ (* (/ 1/2 x) x) (/ (+ (* (* x x) 1/12) 1) x)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12))))) |
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12))))) |
#s(approx (/ (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) (* x x)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12))))) |
#s(approx (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | ((/ (exp x) (- (exp x) 1)) (+ (* (/ 1/2 x) x) (/ (+ (* (* x x) 1/12) 1) x)) (/ 1/2 x) 1/2 x (/ (+ (* (* x x) 1/12) 1) x) (+ (* (* x x) 1/12) 1) (* x x) 1/12 1 (/ (exp x) (- (exp x) 1)) (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) (* 1/12 x) (/ (exp x) (- (exp x) 1)) (exp x) (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (exp x) (- x -1) -1 (/ (exp x) (- (exp x) 1)) (/ (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) (* x x)) (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) (* (+ (* 1/12 x) 1/2) x) (+ (* 1/12 x) 1/2)) |
| 2.0ms | x | @ | inf | ((/ (exp x) (- (exp x) 1)) (+ (* (/ 1/2 x) x) (/ (+ (* (* x x) 1/12) 1) x)) (/ 1/2 x) 1/2 x (/ (+ (* (* x x) 1/12) 1) x) (+ (* (* x x) 1/12) 1) (* x x) 1/12 1 (/ (exp x) (- (exp x) 1)) (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) (* 1/12 x) (/ (exp x) (- (exp x) 1)) (exp x) (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (exp x) (- x -1) -1 (/ (exp x) (- (exp x) 1)) (/ (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) (* x x)) (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) (* (+ (* 1/12 x) 1/2) x) (+ (* 1/12 x) 1/2)) |
| 2.0ms | x | @ | 0 | ((/ (exp x) (- (exp x) 1)) (+ (* (/ 1/2 x) x) (/ (+ (* (* x x) 1/12) 1) x)) (/ 1/2 x) 1/2 x (/ (+ (* (* x x) 1/12) 1) x) (+ (* (* x x) 1/12) 1) (* x x) 1/12 1 (/ (exp x) (- (exp x) 1)) (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) (* 1/12 x) (/ (exp x) (- (exp x) 1)) (exp x) (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (exp x) (- x -1) -1 (/ (exp x) (- (exp x) 1)) (/ (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) (* x x)) (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) (* (+ (* 1/12 x) 1/2) x) (+ (* 1/12 x) 1/2)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 178 | 1269 |
| 0 | 197 | 1209 |
| 1 | 822 | 1123 |
| 0 | 6768 | 1041 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) x (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) x (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x)) |
(/.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x) |
(fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) |
(*.f64 x x) |
#s(literal 1/12 binary64) |
#s(literal 1 binary64) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) (*.f64 #s(literal 1/12 binary64) x))) |
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) (*.f64 #s(literal 1/12 binary64) x)) |
(*.f64 #s(literal 1/12 binary64) 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) |
(/.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(literal -1 binary64) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) x x) (*.f64 x x))) |
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) x x) (*.f64 x x)) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) x x) |
(*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x) |
(fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 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 (+ (* (/ 1/2 x) x) (/ (+ (* (* x x) 1/12) 1) x)) #s(hole binary64 (/ 1 x))) |
#s(approx (+ (* (/ 1/2 x) x) (/ (+ (* (* x x) 1/12) 1) x)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x))) |
#s(approx (+ (* (/ 1/2 x) x) (/ (+ (* (* x x) 1/12) 1) x)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x))) |
#s(approx (/ 1/2 x) #s(hole binary64 (/ 1/2 x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (/ (+ (* (* x x) 1/12) 1) x) #s(hole binary64 (/ 1 x))) |
#s(approx (/ (+ (* (* x x) 1/12) 1) x) #s(hole binary64 (/ (+ 1 (* 1/12 (pow x 2))) x))) |
#s(approx (+ (* (* x x) 1/12) 1) #s(hole binary64 1)) |
#s(approx (+ (* (* x x) 1/12) 1) #s(hole binary64 (+ 1 (* 1/12 (pow x 2))))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) #s(hole binary64 (/ 1 x))) |
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x))) |
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x))) |
#s(approx (* 1/12 x) #s(hole binary64 (* 1/12 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 (- x -1) #s(hole binary64 1)) |
#s(approx (- x -1) #s(hole binary64 (+ 1 x))) |
#s(approx (/ (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) (* x x)) #s(hole binary64 (/ 1 x))) |
#s(approx (/ (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) (* x x)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x))) |
#s(approx (/ (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) (* x x)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x))) |
#s(approx (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) #s(hole binary64 x)) |
#s(approx (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) #s(hole binary64 (* x (+ 1 (* 1/2 x))))) |
#s(approx (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/12 x))))))) |
#s(approx (* (+ (* 1/12 x) 1/2) x) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (+ (* 1/12 x) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* 1/12 x))))) |
#s(approx (+ (* 1/12 x) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* 1/12 x) 1/2) #s(hole binary64 (+ 1/2 (* 1/12 x)))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (exp x) (- (exp x) 1)))) |
#s(approx (+ (* (/ 1/2 x) x) (/ (+ (* (* x x) 1/12) 1) x)) #s(hole binary64 (* 1/12 x))) |
#s(approx (+ (* (/ 1/2 x) x) (/ (+ (* (* x x) 1/12) 1) x)) #s(hole binary64 (* x (+ 1/12 (* 1/2 (/ 1 x)))))) |
#s(approx (+ (* (/ 1/2 x) x) (/ (+ (* (* x x) 1/12) 1) x)) #s(hole binary64 (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))) |
#s(approx (/ (+ (* (* x x) 1/12) 1) x) #s(hole binary64 (* 1/12 x))) |
#s(approx (/ (+ (* (* x x) 1/12) 1) x) #s(hole binary64 (* x (+ 1/12 (/ 1 (pow x 2)))))) |
#s(approx (+ (* (* x x) 1/12) 1) #s(hole binary64 (* 1/12 (pow x 2)))) |
#s(approx (+ (* (* x x) 1/12) 1) #s(hole binary64 (* (pow x 2) (+ 1/12 (/ 1 (pow x 2)))))) |
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) #s(hole binary64 (* 1/12 x))) |
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) #s(hole binary64 (* x (+ 1/12 (* 1/2 (/ 1 x)))))) |
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) #s(hole binary64 (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))) |
#s(approx (exp x) #s(hole binary64 (exp x))) |
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1))) |
#s(approx (- x -1) #s(hole binary64 x)) |
#s(approx (- x -1) #s(hole binary64 (* x (+ 1 (/ 1 x))))) |
#s(approx (/ (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) (* x x)) #s(hole binary64 (* 1/12 x))) |
#s(approx (/ (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) (* x x)) #s(hole binary64 (* x (+ 1/12 (* 1/2 (/ 1 x)))))) |
#s(approx (/ (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) (* x x)) #s(hole binary64 (* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))) |
#s(approx (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) #s(hole binary64 (* 1/12 (pow x 3)))) |
#s(approx (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) #s(hole binary64 (* (pow x 3) (+ 1/12 (* 1/2 (/ 1 x)))))) |
#s(approx (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) #s(hole binary64 (* (pow x 3) (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))) |
#s(approx (* (+ (* 1/12 x) 1/2) x) #s(hole binary64 (* 1/12 (pow x 2)))) |
#s(approx (* (+ (* 1/12 x) 1/2) x) #s(hole binary64 (* (pow x 2) (+ 1/12 (* 1/2 (/ 1 x)))))) |
#s(approx (+ (* 1/12 x) 1/2) #s(hole binary64 (* 1/12 x))) |
#s(approx (+ (* 1/12 x) 1/2) #s(hole binary64 (* x (+ 1/12 (* 1/2 (/ 1 x)))))) |
#s(approx (+ (* (/ 1/2 x) x) (/ (+ (* (* x x) 1/12) 1) x)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12))))) |
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12))))) |
#s(approx (/ (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) (* x x)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12))))) |
#s(approx (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12))))) |
| Outputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (neg.f64 x)) (/.f64 x (neg.f64 x))) |
(*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (fabs.f64 x)) (/.f64 x (fabs.f64 x))) |
(*.f64 (/.f64 x (neg.f64 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (neg.f64 x))) |
(*.f64 (/.f64 x (fabs.f64 x)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (fabs.f64 x))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 x (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 x x))) |
(/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (*.f64 x x) x) (neg.f64 x)) (neg.f64 x)) |
(/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (*.f64 x x) x) (fabs.f64 x)) (fabs.f64 x)) |
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(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 #s(literal 1/12 binary64) x) x)) |
(fma.f64 x (*.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 x (*.f64 #s(literal 1/12 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/12 binary64) x) x)) |
(-.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) x) x) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (*.f64 x x))) |
(-.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) x) x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1/2 binary64) x))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1/12 binary64))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (neg.f64 x) (*.f64 #s(literal 1/12 binary64) x))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 x x) #s(literal -1/12 binary64))) |
(+.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) x) x) (*.f64 #s(literal 1/2 binary64) x)) |
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 #s(literal 1/12 binary64) x) x)) |
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)) x) |
(*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64)))) x) (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/2 binary64) x))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/8 binary64) #s(literal 1/1728 binary64)) x) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)) #s(literal 1/144 binary64))) |
(/.f64 (*.f64 x (-.f64 #s(literal 1/144 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64))))) (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/2 binary64) x))) |
(/.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/8 binary64) #s(literal 1/1728 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)) #s(literal 1/144 binary64))) |
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal -1/12 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/144 binary64) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/12 binary64) x))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/144 binary64) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/144 binary64) (*.f64 x x) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/1728 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/1728 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/144 binary64) (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/24 binary64) x))))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/144 binary64) (*.f64 x x))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x))) |
(/.f64 (fma.f64 #s(literal 1/144 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64))) |
(/.f64 (fma.f64 #s(literal 1/1728 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 #s(literal 1/12 binary64) x) (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) |
(/.f64 (fma.f64 #s(literal 1/1728 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/144 binary64) (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/24 binary64) x)))) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) x)) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) |
(fma.f64 x #s(literal 1/12 binary64) #s(literal 1/2 binary64)) |
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x))) (/.f64 (*.f64 #s(literal 1/144 binary64) (*.f64 x x)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x)))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/144 binary64) (*.f64 x x)) (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)))) |
(-.f64 (*.f64 #s(literal 1/12 binary64) x) (*.f64 (/.f64 #s(literal -1/2 binary64) x) x)) |
(-.f64 (*.f64 #s(literal 1/12 binary64) x) (*.f64 (neg.f64 x) (/.f64 #s(literal 1/2 binary64) x))) |
(-.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal -1/2 binary64)) |
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 x) #s(literal 1/12 binary64))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/12 binary64) x)) |
(+.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (*.f64 #s(literal 1/12 binary64) x) (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (/.f64 (*.f64 #s(literal 1/1728 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/12 binary64) x) (fma.f64 #s(literal 1/12 binary64) x #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))) |
(+.f64 (/.f64 (*.f64 #s(literal 1/1728 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/144 binary64) (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/24 binary64) x)))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/144 binary64) (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/24 binary64) x))))) |
(+.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (pow.f64 x #s(literal -1 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
#s(approx (/ (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) (* x x)) (pow.f64 x #s(literal -1 binary64))) |
#s(approx (/ (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) (* x x)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) (* x x)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))) |
#s(approx (/ 1/2 x) (/.f64 #s(literal 1/2 binary64) x)) |
#s(approx x x) |
#s(approx (/ (+ (* (* x x) 1/12) 1) x) (pow.f64 x #s(literal -1 binary64))) |
#s(approx (/ (+ (* (* x x) 1/12) 1) x) (/.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) x)) |
#s(approx (+ (* (* x x) 1/12) 1) #s(literal 1 binary64)) |
#s(approx (+ (* (* x x) 1/12) 1) (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64))) |
#s(approx (* x x) (*.f64 x x)) |
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) (pow.f64 x #s(literal -1 binary64))) |
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))) |
#s(approx (* 1/12 x) (*.f64 #s(literal 1/12 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 (- x -1) #s(literal 1 binary64)) |
#s(approx (- x -1) (-.f64 x #s(literal -1 binary64))) |
#s(approx (/ (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) (* x x)) (pow.f64 x #s(literal -1 binary64))) |
#s(approx (/ (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) (* x x)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) (* x x)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))) |
#s(approx (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) x) |
#s(approx (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) |
#s(approx (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (*.f64 x x) x)) |
#s(approx (* (+ (* 1/12 x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* (+ (* 1/12 x) 1/2) x) (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x)) |
#s(approx (+ (* 1/12 x) 1/2) #s(literal 1/2 binary64)) |
#s(approx (+ (* 1/12 x) 1/2) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (exp.f64 x) (expm1.f64 x))) |
#s(approx (/ (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) (* x x)) (*.f64 #s(literal 1/12 binary64) x)) |
#s(approx (/ (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) (* x x)) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))) |
#s(approx (/ (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) (* x x)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (* (* x x) 1/12) 1) x) (*.f64 #s(literal 1/12 binary64) x)) |
#s(approx (/ (+ (* (* x x) 1/12) 1) x) (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64)))) |
#s(approx (+ (* (* x x) 1/12) 1) (*.f64 (*.f64 #s(literal 1/12 binary64) x) x)) |
#s(approx (+ (* (* x x) 1/12) 1) (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64))) |
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) (*.f64 #s(literal 1/12 binary64) x)) |
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))) |
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) (fma.f64 #s(literal 1/12 binary64) 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 (- x -1) x) |
#s(approx (- x -1) (-.f64 x #s(literal -1 binary64))) |
#s(approx (/ (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) (* x x)) (*.f64 #s(literal 1/12 binary64) x)) |
#s(approx (/ (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) (* x x)) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))) |
#s(approx (/ (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) (* x x)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))) |
#s(approx (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64))) |
#s(approx (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (*.f64 x x))) |
#s(approx (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) (*.f64 (fma.f64 #s(literal 1/12 binary64) x (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))) (*.f64 x x))) |
#s(approx (* (+ (* 1/12 x) 1/2) x) (*.f64 (*.f64 #s(literal 1/12 binary64) x) x)) |
#s(approx (* (+ (* 1/12 x) 1/2) x) (*.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x)) |
#s(approx (+ (* 1/12 x) 1/2) (*.f64 #s(literal 1/12 binary64) x)) |
#s(approx (+ (* 1/12 x) 1/2) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))) |
#s(approx (/ (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) (* x x)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal 1/12 binary64)))) |
#s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) (*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal 1/12 binary64)))) |
#s(approx (/ (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) (* x x)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal 1/12 binary64)))) |
#s(approx (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal 1/12 binary64)))) |
Compiled 12 350 to 1 839 computations (85.1% saved)
18 alts after pruning (7 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 477 | 6 | 483 |
| Fresh | 1 | 1 | 2 |
| Picked | 2 | 3 | 5 |
| Done | 2 | 8 | 10 |
| Total | 482 | 18 | 500 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (exp.f64 x) (expm1.f64 x)) |
| ✓ | 97.5% | (/.f64 (exp.f64 x) #s(approx (- (exp x) 1) x)) |
| ✓ | 69.6% | (/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) x)) |
| 4.2% | (/.f64 #s(approx (exp x) #s(approx (- x -1) x)) #s(approx (- (exp x) 1) x)) | |
| 89.6% | (/.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))) | |
| 87.8% | (/.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))) | |
| ✓ | 70.1% | (/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) x)) |
| ✓ | 70.5% | #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)) |
| ✓ | 70.6% | #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)) |
| 69.1% | #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64))) x #s(literal 1 binary64)) x)) | |
| ✓ | 70.6% | #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))) x)) |
| ✓ | 70.3% | #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) |
| 52.7% | #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(approx (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) x) (*.f64 x x))) | |
| 70.6% | #s(approx (/ (exp x) (- (exp x) 1)) (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) x) #s(literal 1/2 binary64))) | |
| ✓ | 3.7% | #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) (*.f64 #s(literal 1/12 binary64) x))) |
| ✓ | 3.3% | #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)))) |
| ✓ | 3.5% | #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64))) |
Compiled 829 to 363 computations (56.2% saved)
| Inputs |
|---|
#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 (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 #s(literal 1/12 binary64) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) (*.f64 #s(literal 1/12 binary64) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(literal 1 binary64)) x)) |
(/.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 (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) 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 (/.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) x) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))) 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 (fma.f64 #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 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) x (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (pow.f64 x #s(literal -1 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64))) |
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64))) x #s(literal 1 binary64)) x)) |
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| Outputs |
|---|
(/.f64 (exp.f64 x) (expm1.f64 x)) |
3 calls:
| 10.0ms | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 8.0ms | x |
| 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(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 #s(literal 1/12 binary64) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) (*.f64 #s(literal 1/12 binary64) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(literal 1 binary64)) x)) |
(/.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 (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) 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 (/.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) x) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))) 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 (fma.f64 #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 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) x (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (pow.f64 x #s(literal -1 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64))) |
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64))) x #s(literal 1 binary64)) x)) |
(/.f64 (exp.f64 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))) |
| Outputs |
|---|
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) |
3 calls:
| 9.0ms | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 7.0ms | x |
| 5.0ms | (exp.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.6% | 1 | (exp.f64 x) |
| 98.6% | 1 | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 98.6% | 1 | x |
Compiled 10 to 8 computations (20% saved)
| Inputs |
|---|
#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 (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 #s(literal 1/12 binary64) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) (*.f64 #s(literal 1/12 binary64) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(literal 1 binary64)) x)) |
(/.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 (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) 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 (/.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) x) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))) 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 (fma.f64 #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 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) x (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (pow.f64 x #s(literal -1 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64))) |
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64))) x #s(literal 1 binary64)) x)) |
| Outputs |
|---|
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) x)) |
3 calls:
| 7.0ms | x |
| 5.0ms | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 5.0ms | (exp.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.5% | 1 | (exp.f64 x) |
| 97.5% | 1 | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 97.5% | 1 | x |
Compiled 10 to 8 computations (20% saved)
| Inputs |
|---|
#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 (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 #s(literal 1/12 binary64) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) (*.f64 #s(literal 1/12 binary64) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(literal 1 binary64)) x)) |
(/.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 (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) 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 (/.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) x) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))) 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 (fma.f64 #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 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) x (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64)) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (pow.f64 x #s(literal -1 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) (pow.f64 (*.f64 x x) #s(literal -1/2 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))) |
3 calls:
| 6.0ms | x |
| 5.0ms | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 4.0ms | (exp.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.6% | 1 | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 89.6% | 1 | (exp.f64 x) |
| 89.6% | 1 | x |
Compiled 10 to 8 computations (20% saved)
| Inputs |
|---|
#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 (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 #s(literal 1/12 binary64) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) (*.f64 #s(literal 1/12 binary64) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(literal 1 binary64)) x)) |
(/.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 (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) 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 (/.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) x) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))) 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 (fma.f64 #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))) |
3 calls:
| 5.0ms | x |
| 4.0ms | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 3.0ms | (exp.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.8% | 1 | (exp.f64 x) |
| 87.8% | 1 | x |
| 87.8% | 1 | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
Compiled 10 to 8 computations (20% saved)
| Inputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 #s(literal 1/12 binary64) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) (*.f64 #s(literal 1/12 binary64) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(literal 1 binary64)) x)) |
(/.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 (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) 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 (/.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) x) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #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))) |
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 | (exp.f64 x) |
| 80.5% | 1 | x |
| 80.5% | 1 | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
Compiled 10 to 8 computations (20% saved)
| Inputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 #s(literal 1/12 binary64) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) (*.f64 #s(literal 1/12 binary64) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(literal 1 binary64)) x)) |
(/.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 (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) 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 (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) 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:
| 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 |
|---|---|---|
| 81.1% | 2 | (exp.f64 x) |
| 81.1% | 2 | x |
| 80.6% | 2 | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
Compiled 10 to 8 computations (20% saved)
| Inputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 #s(literal 1/12 binary64) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) (*.f64 #s(literal 1/12 binary64) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(literal 1 binary64)) x)) |
(/.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 (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) x) (*.f64 x x))) |
| Outputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(approx (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) 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 |
|---|---|---|
| 80.4% | 2 | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 80.4% | 2 | x |
| 80.4% | 2 | (exp.f64 x) |
Compiled 10 to 8 computations (20% saved)
| Inputs |
|---|
#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 (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 #s(literal 1/12 binary64) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) (*.f64 #s(literal 1/12 binary64) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(literal 1 binary64)) x)) |
(/.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 |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(literal 1 binary64)) x)) |
3 calls:
| 3.0ms | x |
| 2.0ms | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 2.0ms | (exp.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.1% | 1 | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 70.1% | 1 | x |
| 70.1% | 1 | (exp.f64 x) |
Compiled 10 to 8 computations (20% saved)
| Inputs |
|---|
#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 (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 #s(literal 1/12 binary64) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (- (/ 1/2 x) -1/12) (* x x)) 1) x) (*.f64 #s(literal 1/12 binary64) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)))) |
| Outputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 #s(literal 1/12 binary64) x))) |
3 calls:
| 2.0ms | x |
| 1.0ms | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 1.0ms | (exp.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 3.7% | 1 | (exp.f64 x) |
| 3.7% | 1 | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 3.7% | 1 | x |
Compiled 10 to 8 computations (20% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64))) |
3 calls:
| 1.0ms | x |
| 1.0ms | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 1.0ms | (exp.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 3.5% | 1 | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 3.5% | 1 | (exp.f64 x) |
| 3.5% | 1 | x |
Compiled 10 to 8 computations (20% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.00717788656070677 | 0.9999950705385247 |
Compiled 9 to 9 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.999999627781467 | 0.9999999999049561 |
Compiled 9 to 9 computations (0% saved)
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 73 | 242 |
| 1 | 107 | 242 |
| 2 | 222 | 242 |
| 3 | 663 | 238 |
| 4 | 2025 | 238 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) |
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) 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))) |
(/.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))) |
(/.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 5764607523034235/576460752303423488 binary64)) #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(approx (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) 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 9007197453301141/9007199254740992 binary64)) #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(approx (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) x) (*.f64 x 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 (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(literal 1 binary64)) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 #s(literal 1/12 binary64) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64))) |
| Outputs |
|---|
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) |
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) 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))) |
(/.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))) |
(/.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 5764607523034235/576460752303423488 binary64)) #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(approx (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) 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 9007197453301141/9007199254740992 binary64)) #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(approx (+ (* (* (+ (* 1/12 x) 1/2) x) x) x) x) (*.f64 x 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 (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(literal 1 binary64)) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* (+ (* 1/12 x) 1/2) x) 1) x) (*.f64 #s(literal 1/12 binary64) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64))) |
| 1× | fuel |
Compiled 242 to 76 computations (68.6% saved)
Compiled 510 to 174 computations (65.9% saved)
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