
Time bar (total: 2.6s)
| 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)
| 373.0ms | 8 256× | 0 | valid |
ival-exp: 120.0ms (52.9% of total)ival-expm1: 55.0ms (24.2% of total)ival-div!: 51.0ms (22.5% of total)adjust: 2.0ms (0.9% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 177 | 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 | 177 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 177 | 0 |
| - | 0 | 79 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 177 | 0 | 0 |
| - | 0 | 0 | 79 |
| number | freq |
|---|---|
| 0 | 79 |
| 1 | 177 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 21.0ms | 512× | 0 | valid |
Compiled 41 to 19 computations (53.7% saved)
ival-exp: 4.0ms (39.7% of total)ival-expm1: 3.0ms (29.8% of total)ival-div!: 3.0ms (29.8% of total)adjust: 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 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 35.2% | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
Compiled 14 to 10 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 (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 56 | 8 | 64 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 57 | 8 | 65 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (/.f64 (exp.f64 x) (expm1.f64 x)) |
| ▶ | 98.7% | (/.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))) |
| 98.3% | (/.f64 (exp.f64 x) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) | |
| ▶ | 97.4% | (/.f64 (exp.f64 x) #s(approx (- (exp x) 1) x)) |
| 69.2% | #s(approx (/ (exp x) (- (exp x) 1)) (pow.f64 x #s(literal -1 binary64))) | |
| ▶ | 69.9% | #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)) |
| 69.9% | #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) | |
| ▶ | 69.6% | #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) |
Compiled 218 to 160 computations (26.6% saved)
| Inputs |
|---|
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(exp.f64 x) |
x |
(expm1.f64 x) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) |
(*.f64 x x) |
#s(literal -1/720 binary64) |
#s(literal 1/12 binary64) |
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) x)) |
#s(approx (- (exp x) 1) x) |
(/.f64 (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))) |
#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 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
| Outputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ 1 x))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x))) |
#s(approx (exp x) #s(hole binary64 1)) |
#s(approx (exp x) #s(hole binary64 (+ 1 x))) |
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x)))))) |
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (- (exp x) 1) #s(hole binary64 x)) |
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* 1/2 x))))) |
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))) |
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))) |
#s(approx (/ (+ (* 1/2 x) 1) x) #s(hole binary64 (/ 1 x))) |
#s(approx (/ (+ (* 1/2 x) 1) x) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x))) |
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 1)) |
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (+ 1 (* 1/2 x)))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (/ 1 x))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(hole binary64 1)) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* 1/2 x)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/12 x)))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))))) |
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (+ 1/2 (* 1/12 x)))) |
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) |
#s(approx (+ (* (* x x) -1/720) 1/12) #s(hole binary64 1/12)) |
#s(approx (+ (* (* x x) -1/720) 1/12) #s(hole binary64 (+ 1/12 (* -1/720 (pow x 2))))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(hole binary64 x)) |
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1 (* 1/2 x))))) |
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))) |
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 1)) |
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (+ 1 (* 1/2 x)))) |
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 x)))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (exp x) (- (exp x) 1)))) |
#s(approx (exp x) #s(hole binary64 (exp x))) |
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1))) |
#s(approx (/ (+ (* 1/2 x) 1) x) #s(hole binary64 1/2)) |
#s(approx (/ (+ (* 1/2 x) 1) x) #s(hole binary64 (+ 1/2 (/ 1 x)))) |
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* 1/2 x))) |
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* x (+ 1/2 (/ 1 x))))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (* -1/720 (pow x 3)))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720)))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720)))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(hole binary64 (* -1/720 (pow x 4)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(hole binary64 (* (pow x 4) (- (* 1/12 (/ 1 (pow x 2))) 1/720)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(hole binary64 (* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(hole binary64 (* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720)))) |
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (* -1/720 (pow x 3)))) |
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720)))) |
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720)))) |
#s(approx (+ (* (* x x) -1/720) 1/12) #s(hole binary64 (* -1/720 (pow x 2)))) |
#s(approx (+ (* (* x x) -1/720) 1/12) #s(hole binary64 (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)))) |
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(hole binary64 (* 1/6 (pow x 3)))) |
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x)))))) |
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))) |
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (* 1/6 (pow x 2)))) |
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x)))))) |
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))) |
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 (* 1/6 x))) |
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 (* x (+ 1/6 (* 1/2 (/ 1 x)))))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2)))))))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2)))))))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2)))))))) |
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6))))) |
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)) (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (+ (* (* x x) -1/720) 1/12) (* x x) -1/720 1/12 (/ (exp x) (- (exp x) 1)) (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (- (exp x) 1) (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (* 1/6 x) 1/2) 1/6) |
| 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)) (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (+ (* (* x x) -1/720) 1/12) (* x x) -1/720 1/12 (/ (exp x) (- (exp x) 1)) (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (- (exp x) 1) (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (* 1/6 x) 1/2) 1/6) |
| 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)) (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (+ (* (* x x) -1/720) 1/12) (* x x) -1/720 1/12 (/ (exp x) (- (exp x) 1)) (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (- (exp x) 1) (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (* 1/6 x) 1/2) 1/6) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 207 | 1437 |
| 0 | 232 | 1346 |
| 1 | 970 | 1317 |
| 0 | 8187 | 1303 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(exp.f64 x) |
x |
(expm1.f64 x) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) |
(*.f64 x x) |
#s(literal -1/720 binary64) |
#s(literal 1/12 binary64) |
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) x)) |
#s(approx (- (exp x) 1) x) |
(/.f64 (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))) |
#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 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ 1 x))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x))) |
#s(approx (exp x) #s(hole binary64 1)) |
#s(approx (exp x) #s(hole binary64 (+ 1 x))) |
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x)))))) |
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (- (exp x) 1) #s(hole binary64 x)) |
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* 1/2 x))))) |
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))) |
#s(approx (- (exp x) 1) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))) |
#s(approx (/ (+ (* 1/2 x) 1) x) #s(hole binary64 (/ 1 x))) |
#s(approx (/ (+ (* 1/2 x) 1) x) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x))) |
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 1)) |
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (+ 1 (* 1/2 x)))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (/ 1 x))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(hole binary64 1)) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* 1/2 x)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/12 x)))))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))))) |
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (+ 1/2 (* 1/12 x)))) |
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) |
#s(approx (+ (* (* x x) -1/720) 1/12) #s(hole binary64 1/12)) |
#s(approx (+ (* (* x x) -1/720) 1/12) #s(hole binary64 (+ 1/12 (* -1/720 (pow x 2))))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(hole binary64 x)) |
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1 (* 1/2 x))))) |
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))) |
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 1)) |
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (+ 1 (* 1/2 x)))) |
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 x)))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (exp x) (- (exp x) 1)))) |
#s(approx (exp x) #s(hole binary64 (exp x))) |
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1))) |
#s(approx (/ (+ (* 1/2 x) 1) x) #s(hole binary64 1/2)) |
#s(approx (/ (+ (* 1/2 x) 1) x) #s(hole binary64 (+ 1/2 (/ 1 x)))) |
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* 1/2 x))) |
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* x (+ 1/2 (/ 1 x))))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (* -1/720 (pow x 3)))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720)))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720)))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(hole binary64 (* -1/720 (pow x 4)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(hole binary64 (* (pow x 4) (- (* 1/12 (/ 1 (pow x 2))) 1/720)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(hole binary64 (* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) #s(hole binary64 (* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720)))) |
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (* -1/720 (pow x 3)))) |
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720)))) |
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720)))) |
#s(approx (+ (* (* x x) -1/720) 1/12) #s(hole binary64 (* -1/720 (pow x 2)))) |
#s(approx (+ (* (* x x) -1/720) 1/12) #s(hole binary64 (* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720)))) |
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(hole binary64 (* 1/6 (pow x 3)))) |
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x)))))) |
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))) |
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (* 1/6 (pow x 2)))) |
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x)))))) |
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))) |
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 (* 1/6 x))) |
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 (* x (+ 1/6 (* 1/2 (/ 1 x)))))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2)))))))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2)))))))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2)))))))) |
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6))))) |
| 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 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) (neg.f64 x)) (neg.f64 x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) (fabs.f64 x)) (fabs.f64 x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) x #s(literal 1 binary64)) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (neg.f64 x)) (neg.f64 x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (fabs.f64 x)) (fabs.f64 x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64))) |
(fma.f64 (*.f64 (*.f64 x x) (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64))) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal 1/6 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 1/6 binary64))) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) (/.f64 #s(literal 1/2 binary64) x)) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64))) |
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64))) |
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64))) |
(fma.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) x (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64))) |
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/2 binary64) x (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64))) |
(fma.f64 x (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 x (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)) |
(fma.f64 x (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))) (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)))) |
(-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) x)) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)) |
(+.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) |
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 x)) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)) |
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) x) |
(*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64)))) x) (-.f64 #s(literal 1/6 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 1/216 binary64)) x) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) #s(literal 1/36 binary64))) |
(/.f64 (*.f64 x (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64))))) (-.f64 #s(literal 1/6 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 1/216 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) #s(literal 1/36 binary64))) |
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal -1/6 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) x))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))) |
(/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 x x))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))) |
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) x)))) |
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) |
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) |
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(-.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)))) |
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))) (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))) |
(-.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (/.f64 #s(literal -1/2 binary64) x) x)) |
(-.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (neg.f64 x) (/.f64 #s(literal 1/2 binary64) x))) |
(-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) |
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 x) #s(literal 1/6 binary64))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x)) |
(+.f64 (/.f64 (*.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) x)))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) x))))) |
(+.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (/.f64 (*.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))) |
(+.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)) |
#s(literal 1/6 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 (/ (+ (* (+ (* (+ (* (* 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 (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) x) |
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x)) |
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (+ (* 1/6 x) 1/2) #s(literal 1/2 binary64)) |
#s(approx (+ (* 1/6 x) 1/2) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (exp.f64 x) (expm1.f64 x))) |
#s(approx (exp x) (exp.f64 x)) |
#s(approx (- (exp x) 1) (expm1.f64 x)) |
#s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (* 1/2 x) 1) x) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
#s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (+ (* 1/2 x) 1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64)) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) (*.f64 (-.f64 (/.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 (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) |
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x))) |
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (*.f64 (+.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)) |
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)) |
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 (+.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) x) #s(literal 1/6 binary64)) x) x)) |
#s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) |
#s(approx (+ (* 1/6 x) 1/2) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 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)))) |
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) x) #s(literal 1/6 binary64)))) |
Compiled 12 278 to 1 961 computations (84% saved)
13 alts after pruning (9 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 487 | 9 | 496 |
| Fresh | 3 | 0 | 3 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 491 | 13 | 504 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (exp.f64 x) (expm1.f64 x)) |
| ✓ | 97.4% | (/.f64 (exp.f64 x) #s(approx (- (exp x) 1) x)) |
| 69.6% | (/.f64 #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) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) | |
| ▶ | 74.2% | (/.f64 #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) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) |
| ▶ | 85.2% | (/.f64 #s(approx (exp x) (-.f64 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))) |
| ▶ | 68.7% | (/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) x)) |
| 84.6% | (/.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))) | |
| 69.2% | (/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) x)) | |
| ✓ | 69.9% | #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)) |
| 69.9% | #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) | |
| ▶ | 35.7% | #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x) (*.f64 x x))) |
| ✓ | 69.6% | #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) |
| ▶ | 3.4% | #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64))) |
Compiled 404 to 264 computations (34.7% saved)
| Inputs |
|---|
(/.f64 #s(approx (exp x) (-.f64 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) (-.f64 x #s(literal -1 binary64))) |
(-.f64 x #s(literal -1 binary64)) |
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 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64)) |
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) x)) |
#s(approx (- (exp x) 1) x) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x) (*.f64 x x))) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x) (*.f64 x x)) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x) |
(*.f64 x x) |
(/.f64 #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) 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) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) x #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 -1) #s(hole binary64 1)) |
#s(approx (- x -1) #s(hole binary64 (+ 1 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 (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(hole binary64 x)) |
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1 (* 1/2 x))))) |
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))) |
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 1)) |
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (+ 1 (* 1/2 x)))) |
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 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 (/ (+ (* (* x x) 1/2) x) (* x x)) #s(hole binary64 (/ 1 x))) |
#s(approx (/ (+ (* (* x x) 1/2) x) (* x x)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x))) |
#s(approx (+ (* (* x x) 1/2) x) #s(hole binary64 x)) |
#s(approx (+ (* (* x x) 1/2) x) #s(hole binary64 (* x (+ 1 (* 1/2 x))))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) #s(hole binary64 1)) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) #s(hole binary64 (+ 1 x))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 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 (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (exp x) (- (exp x) 1)))) |
#s(approx (exp x) #s(hole binary64 (exp x))) |
#s(approx (- x -1) #s(hole binary64 x)) |
#s(approx (- x -1) #s(hole binary64 (* x (+ 1 (/ 1 x))))) |
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1))) |
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(hole binary64 (* 1/6 (pow x 3)))) |
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x)))))) |
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))) |
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (* 1/6 (pow x 2)))) |
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x)))))) |
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))) |
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 (* 1/6 x))) |
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 (* x (+ 1/6 (* 1/2 (/ 1 x)))))) |
#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 (/ (+ (* (* x x) 1/2) x) (* x x)) #s(hole binary64 1/2)) |
#s(approx (/ (+ (* (* x x) 1/2) x) (* x x)) #s(hole binary64 (+ 1/2 (/ 1 x)))) |
#s(approx (+ (* (* x x) 1/2) x) #s(hole binary64 (* 1/2 (pow x 2)))) |
#s(approx (+ (* (* x x) 1/2) x) #s(hole binary64 (* (pow x 2) (+ 1/2 (/ 1 x))))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) #s(hole binary64 (* 1/2 (pow x 2)))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/2 (/ 1 x))))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2))))))) |
#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 (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | ((/ (exp x) (- (exp x) 1)) (exp x) (- x -1) x -1 (- (exp x) 1) (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (* 1/6 x) 1/2) 1/6 1/2 1 (/ (exp x) (- (exp x) 1)) (/ (+ (* 1/2 x) 1) x) (/ (exp x) (- (exp x) 1)) (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (/ (+ (* (* x x) 1/2) x) (* x x)) (+ (* (* x x) 1/2) x) (* x x) (/ (exp x) (- (exp x) 1)) (exp x) (+ (* (+ (* 1/2 x) 1) x) 1) (+ (* 1/2 x) 1)) |
| 2.0ms | x | @ | inf | ((/ (exp x) (- (exp x) 1)) (exp x) (- x -1) x -1 (- (exp x) 1) (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (* 1/6 x) 1/2) 1/6 1/2 1 (/ (exp x) (- (exp x) 1)) (/ (+ (* 1/2 x) 1) x) (/ (exp x) (- (exp x) 1)) (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (/ (+ (* (* x x) 1/2) x) (* x x)) (+ (* (* x x) 1/2) x) (* x x) (/ (exp x) (- (exp x) 1)) (exp x) (+ (* (+ (* 1/2 x) 1) x) 1) (+ (* 1/2 x) 1)) |
| 1.0ms | x | @ | 0 | ((/ (exp x) (- (exp x) 1)) (exp x) (- x -1) x -1 (- (exp x) 1) (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (+ (* (+ (* 1/6 x) 1/2) x) 1) (+ (* 1/6 x) 1/2) 1/6 1/2 1 (/ (exp x) (- (exp x) 1)) (/ (+ (* 1/2 x) 1) x) (/ (exp x) (- (exp x) 1)) (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (/ (+ (* (* x x) 1/2) x) (* x x)) (+ (* (* x x) 1/2) x) (* x x) (/ (exp x) (- (exp x) 1)) (exp x) (+ (* (+ (* 1/2 x) 1) x) 1) (+ (* 1/2 x) 1)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 163 | 977 |
| 0 | 178 | 915 |
| 1 | 771 | 879 |
| 0 | 6429 | 832 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(/.f64 #s(approx (exp x) (-.f64 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) (-.f64 x #s(literal -1 binary64))) |
(-.f64 x #s(literal -1 binary64)) |
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 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64)) |
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) x)) |
#s(approx (- (exp x) 1) x) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x) (*.f64 x x))) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x) (*.f64 x x)) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x) |
(*.f64 x x) |
(/.f64 #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) 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) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) x #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 -1) #s(hole binary64 1)) |
#s(approx (- x -1) #s(hole binary64 (+ 1 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 (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(hole binary64 x)) |
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1 (* 1/2 x))))) |
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))) |
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 1)) |
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (+ 1 (* 1/2 x)))) |
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 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 (/ (+ (* (* x x) 1/2) x) (* x x)) #s(hole binary64 (/ 1 x))) |
#s(approx (/ (+ (* (* x x) 1/2) x) (* x x)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x))) |
#s(approx (+ (* (* x x) 1/2) x) #s(hole binary64 x)) |
#s(approx (+ (* (* x x) 1/2) x) #s(hole binary64 (* x (+ 1 (* 1/2 x))))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) #s(hole binary64 1)) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) #s(hole binary64 (+ 1 x))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 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 (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (exp x) (- (exp x) 1)))) |
#s(approx (exp x) #s(hole binary64 (exp x))) |
#s(approx (- x -1) #s(hole binary64 x)) |
#s(approx (- x -1) #s(hole binary64 (* x (+ 1 (/ 1 x))))) |
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1))) |
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(hole binary64 (* 1/6 (pow x 3)))) |
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x)))))) |
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))) |
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (* 1/6 (pow x 2)))) |
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x)))))) |
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))) |
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 (* 1/6 x))) |
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 (* x (+ 1/6 (* 1/2 (/ 1 x)))))) |
#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 (/ (+ (* (* x x) 1/2) x) (* x x)) #s(hole binary64 1/2)) |
#s(approx (/ (+ (* (* x x) 1/2) x) (* x x)) #s(hole binary64 (+ 1/2 (/ 1 x)))) |
#s(approx (+ (* (* x x) 1/2) x) #s(hole binary64 (* 1/2 (pow x 2)))) |
#s(approx (+ (* (* x x) 1/2) x) #s(hole binary64 (* (pow x 2) (+ 1/2 (/ 1 x))))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) #s(hole binary64 (* 1/2 (pow x 2)))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/2 (/ 1 x))))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2))))))) |
#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 (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6))))) |
| Outputs |
|---|
(/.f64 (neg.f64 (neg.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))))) (neg.f64 (neg.f64 #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 (neg.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64)))) (neg.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) |
(/.f64 #s(approx (exp x) (-.f64 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))) |
(neg.f64 (/.f64 (neg.f64 #s(approx (exp x) (-.f64 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)))) |
(neg.f64 (/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) (neg.f64 #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) (-.f64 x #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) x) |
(*.f64 x (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) x) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -1 binary64)))) |
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))) |
(/.f64 (*.f64 x (+.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal -1 binary64) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) x))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(-.f64 x (*.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) x)) |
(-.f64 x (*.f64 (neg.f64 x) (pow.f64 x #s(literal -1 binary64)))) |
(-.f64 x #s(literal -1 binary64)) |
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(+.f64 #s(literal 1 binary64) x) |
(+.f64 x #s(literal 1 binary64)) |
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 (*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) x) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) |
(*.f64 (*.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)) |
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) |
(*.f64 x (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64))) x) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal -1 binary64)) x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal -1 binary64)) x) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))) |
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) #s(literal 2 binary64)) |
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))) |
(/.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))) |
(/.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)))) (-.f64 x (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x))) (*.f64 x (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)))))) |
(fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)) x) |
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) x) |
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) x) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x) x) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x x) |
(fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) |
(fma.f64 x (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x) |
(-.f64 x (*.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) x)) |
(-.f64 x (*.f64 (neg.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x))) |
(+.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)) x) |
(+.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64))) |
(+.f64 x (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)))) |
(+.f64 x (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)))) |
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(fma.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) x #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal -1 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) #s(literal 1 binary64)) |
(fma.f64 x (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 x (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) |
(-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal -1 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x)) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(+.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 x)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) |
(+.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) x) |
(*.f64 x (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64))) x) (-.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/8 binary64)) x) (-.f64 (+.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) x))) |
(/.f64 (*.f64 x (-.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64)))) (-.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) |
(/.f64 (*.f64 x (+.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/8 binary64))) (-.f64 (+.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (neg.f64 x)) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 x x)) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x) x)) |
(/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 x (-.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64))) x)) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) x) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (neg.f64 x)) (neg.f64 x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (fabs.f64 x)) (fabs.f64 x) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) |
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(-.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)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) x)) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (neg.f64 x) (pow.f64 x #s(literal -1 binary64)))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 1/2 binary64))) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)) |
(+.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 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)) (/.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 -1) #s(literal 1 binary64)) |
#s(approx (- x -1) (-.f64 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 (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) x) |
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) |
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (+ (* 1/6 x) 1/2) #s(literal 1/2 binary64)) |
#s(approx (+ (* 1/6 x) 1/2) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) |
#s(approx (/ (+ (* (* x x) 1/2) x) (* x x)) (pow.f64 x #s(literal -1 binary64))) |
#s(approx (/ (+ (* (* x x) 1/2) x) (* x x)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (* (* x x) 1/2) x) (* x x)) (pow.f64 x #s(literal -1 binary64))) |
#s(approx (/ (+ (* (* x x) 1/2) x) (* x x)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
#s(approx (+ (* (* x x) 1/2) x) x) |
#s(approx (+ (* (* x x) 1/2) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) |
#s(approx (* x x) (*.f64 x x)) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (-.f64 x #s(literal -1 binary64))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 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 (/ (exp x) (- (exp x) 1)) (/.f64 (exp.f64 x) (expm1.f64 x))) |
#s(approx (exp x) (exp.f64 x)) |
#s(approx (- x -1) x) |
#s(approx (- x -1) (-.f64 x #s(literal -1 binary64))) |
#s(approx (- (exp x) 1) (expm1.f64 x)) |
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) |
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x))) |
#s(approx (* (+ (* (+ (* 1/6 x) 1/2) x) 1) x) (*.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) x)) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)) |
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x)) |
#s(approx (+ (* (+ (* 1/6 x) 1/2) x) 1) (*.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x x))) |
#s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) |
#s(approx (+ (* 1/6 x) 1/2) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) |
#s(approx (/ (+ (* (* x x) 1/2) x) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (* (* x x) 1/2) x) (* x x)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (* (* x x) 1/2) x) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (* (* x x) 1/2) x) (* x x)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
#s(approx (+ (* (* x x) 1/2) x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (+ (* (* x x) 1/2) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64)) (*.f64 x x))) |
#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 (* (+ (* (+ (* 1/6 x) 1/2) x) 1) 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 1/6 binary64)))) |
Compiled 17 595 to 1 987 computations (88.7% saved)
15 alts after pruning (8 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 635 | 7 | 642 |
| Fresh | 3 | 1 | 4 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 4 | 4 |
| Total | 640 | 15 | 655 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (exp.f64 x) (expm1.f64 x)) |
| ✓ | 97.4% | (/.f64 (exp.f64 x) #s(approx (- (exp x) 1) x)) |
| ✓ | 74.2% | (/.f64 #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) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) |
| ▶ | 43.9% | (/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)))) (-.f64 x (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)))))) |
| ▶ | 90.0% | (/.f64 #s(approx (exp x) (-.f64 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))) |
| ✓ | 68.7% | (/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) x)) |
| 3.7% | (/.f64 #s(approx (exp x) #s(approx (- x -1) x)) #s(approx (- (exp x) 1) x)) | |
| 84.6% | (/.f64 #s(approx (exp x) #s(approx (- x -1) #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))) | |
| ▶ | 69.2% | (/.f64 #s(approx (exp x) #s(approx (- x -1) #s(literal 1 binary64))) #s(approx (- (exp x) 1) x)) |
| 69.6% | #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))) | |
| ✓ | 69.9% | #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)) |
| ▶ | 69.9% | #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
| ✓ | 69.6% | #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) |
| ▶ | 46.2% | #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(approx (+ (* (* x x) 1/2) x) x) (*.f64 x x))) |
| ✓ | 3.4% | #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64))) |
Compiled 467 to 298 computations (36.2% saved)
| Inputs |
|---|
(/.f64 #s(approx (exp x) (-.f64 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) (-.f64 x #s(literal -1 binary64))) |
(-.f64 x #s(literal -1 binary64)) |
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 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) |
#s(literal 1/24 binary64) |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(/.f64 #s(approx (exp x) #s(approx (- x -1) #s(literal 1 binary64))) #s(approx (- (exp x) 1) x)) |
#s(approx (exp x) #s(approx (- x -1) #s(literal 1 binary64))) |
#s(approx (- x -1) #s(literal 1 binary64)) |
#s(approx (- (exp x) 1) x) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(approx (+ (* (* x x) 1/2) x) x) (*.f64 x x))) |
(/.f64 #s(approx (+ (* (* x x) 1/2) x) x) (*.f64 x x)) |
#s(approx (+ (* (* x x) 1/2) x) x) |
(*.f64 x x) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
(/.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) |
(fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) |
#s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) |
#s(literal 1/12 binary64) |
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)))) (-.f64 x (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)))))) |
#s(approx (- (exp x) 1) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)))) (-.f64 x (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)))) (-.f64 x (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)))) |
(-.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)) |
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) |
(-.f64 x (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x))) |
| Outputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ 1 x))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x))) |
#s(approx (exp x) #s(hole binary64 1)) |
#s(approx (exp x) #s(hole binary64 (+ 1 x))) |
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x)))))) |
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))) |
#s(approx (- x -1) #s(hole binary64 1)) |
#s(approx (- x -1) #s(hole binary64 (+ 1 x))) |
#s(approx 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 (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 x)) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1 (* 1/2 x))))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 1)) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* 1/2 x)))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 x)))) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))) |
#s(approx (+ (* 1/24 x) 1/6) #s(hole binary64 1/6)) |
#s(approx (+ (* 1/24 x) 1/6) #s(hole binary64 (+ 1/6 (* 1/24 x)))) |
#s(approx (/ (+ (* (* x x) 1/2) x) (* x x)) #s(hole binary64 (/ 1 x))) |
#s(approx (/ (+ (* (* x x) 1/2) x) (* x x)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x))) |
#s(approx (+ (* (* x x) 1/2) x) #s(hole binary64 x)) |
#s(approx (+ (* (* x x) 1/2) x) #s(hole binary64 (* x (+ 1 (* 1/2 x))))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#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) (* (* (+ (* 1/6 x) 1/2) (* x x)) (* (+ (* 1/6 x) 1/2) (* x x)))) (- x (* (+ (* 1/6 x) 1/2) (* x x)))) #s(hole binary64 x)) |
#s(approx (/ (- (* x x) (* (* (+ (* 1/6 x) 1/2) (* x x)) (* (+ (* 1/6 x) 1/2) (* x x)))) (- x (* (+ (* 1/6 x) 1/2) (* x x)))) #s(hole binary64 (* x (+ 1 (* 1/2 x))))) |
#s(approx (/ (- (* x x) (* (* (+ (* 1/6 x) 1/2) (* x x)) (* (+ (* 1/6 x) 1/2) (* x x)))) (- x (* (+ (* 1/6 x) 1/2) (* x x)))) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))) |
#s(approx (- (* x x) (* (* (+ (* 1/6 x) 1/2) (* x x)) (* (+ (* 1/6 x) 1/2) (* x x)))) #s(hole binary64 (pow x 2))) |
#s(approx (- (* x x) (* (* (+ (* 1/6 x) 1/2) (* x x)) (* (+ (* 1/6 x) 1/2) (* x x)))) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/4 (pow x 2)))))) |
#s(approx (- (* x x) (* (* (+ (* 1/6 x) 1/2) (* x x)) (* (+ (* 1/6 x) 1/2) (* x x)))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* -1/6 x) 1/4)))))) |
#s(approx (- (* x x) (* (* (+ (* 1/6 x) 1/2) (* x x)) (* (+ (* 1/6 x) 1/2) (* x x)))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* x (- (* -1/36 x) 1/6)) 1/4)))))) |
#s(approx (* (* (+ (* 1/6 x) 1/2) (* x x)) (* (+ (* 1/6 x) 1/2) (* x x))) #s(hole binary64 (* 1/4 (pow x 4)))) |
#s(approx (* (* (+ (* 1/6 x) 1/2) (* x x)) (* (+ (* 1/6 x) 1/2) (* x x))) #s(hole binary64 (* (pow x 4) (+ 1/4 (* 1/6 x))))) |
#s(approx (* (* (+ (* 1/6 x) 1/2) (* x x)) (* (+ (* 1/6 x) 1/2) (* x x))) #s(hole binary64 (* (pow x 4) (+ 1/4 (* x (+ 1/6 (* 1/36 x))))))) |
#s(approx (* (+ (* 1/6 x) 1/2) (* x x)) #s(hole binary64 (* 1/2 (pow x 2)))) |
#s(approx (* (+ (* 1/6 x) 1/2) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* 1/6 x))))) |
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 x)))) |
#s(approx (- x (* (+ (* 1/6 x) 1/2) (* x x))) #s(hole binary64 x)) |
#s(approx (- x (* (+ (* 1/6 x) 1/2) (* x x))) #s(hole binary64 (* x (+ 1 (* -1/2 x))))) |
#s(approx (- x (* (+ (* 1/6 x) 1/2) (* x x))) #s(hole binary64 (* x (+ 1 (* x (- (* -1/6 x) 1/2)))))) |
#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 (- x -1) #s(hole binary64 x)) |
#s(approx (- x -1) #s(hole binary64 (* x (+ 1 (/ 1 x))))) |
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* 1/24 (pow x 4)))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x)))))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* 1/24 (pow x 3)))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x)))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))))) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (* 1/24 (pow x 2)))) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x)))))) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))))) |
#s(approx (+ (* 1/24 x) 1/6) #s(hole binary64 (* 1/24 x))) |
#s(approx (+ (* 1/24 x) 1/6) #s(hole binary64 (* x (+ 1/24 (* 1/6 (/ 1 x)))))) |
#s(approx (/ (+ (* (* x x) 1/2) x) (* x x)) #s(hole binary64 1/2)) |
#s(approx (/ (+ (* (* x x) 1/2) x) (* x x)) #s(hole binary64 (+ 1/2 (/ 1 x)))) |
#s(approx (+ (* (* x x) 1/2) x) #s(hole binary64 (* 1/2 (pow x 2)))) |
#s(approx (+ (* (* x x) 1/2) x) #s(hole binary64 (* (pow x 2) (+ 1/2 (/ 1 x))))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (* -1/720 (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 (/ (- (* x x) (* (* (+ (* 1/6 x) 1/2) (* x x)) (* (+ (* 1/6 x) 1/2) (* x x)))) (- x (* (+ (* 1/6 x) 1/2) (* x x)))) #s(hole binary64 (* 1/6 (pow x 3)))) |
#s(approx (/ (- (* x x) (* (* (+ (* 1/6 x) 1/2) (* x x)) (* (+ (* 1/6 x) 1/2) (* x x)))) (- x (* (+ (* 1/6 x) 1/2) (* x x)))) #s(hole binary64 (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x)))))) |
#s(approx (/ (- (* x x) (* (* (+ (* 1/6 x) 1/2) (* x x)) (* (+ (* 1/6 x) 1/2) (* x x)))) (- x (* (+ (* 1/6 x) 1/2) (* x x)))) #s(hole binary64 (* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))) |
#s(approx (- (* x x) (* (* (+ (* 1/6 x) 1/2) (* x x)) (* (+ (* 1/6 x) 1/2) (* x x)))) #s(hole binary64 (* -1/36 (pow x 6)))) |
#s(approx (- (* x x) (* (* (+ (* 1/6 x) 1/2) (* x x)) (* (+ (* 1/6 x) 1/2) (* x x)))) #s(hole binary64 (* -1 (* (pow x 6) (+ 1/36 (* 1/6 (/ 1 x))))))) |
#s(approx (- (* x x) (* (* (+ (* 1/6 x) 1/2) (* x x)) (* (+ (* 1/6 x) 1/2) (* x x)))) #s(hole binary64 (* (pow x 6) (- (* -1 (/ (+ 1/6 (* 1/4 (/ 1 x))) x)) 1/36)))) |
#s(approx (- (* x x) (* (* (+ (* 1/6 x) 1/2) (* x x)) (* (+ (* 1/6 x) 1/2) (* x x)))) #s(hole binary64 (* (pow x 6) (- (/ 1 (pow x 4)) (+ 1/36 (+ (/ 1/4 (pow x 2)) (* 1/6 (/ 1 x)))))))) |
#s(approx (* (* (+ (* 1/6 x) 1/2) (* x x)) (* (+ (* 1/6 x) 1/2) (* x x))) #s(hole binary64 (* 1/36 (pow x 6)))) |
#s(approx (* (* (+ (* 1/6 x) 1/2) (* x x)) (* (+ (* 1/6 x) 1/2) (* x x))) #s(hole binary64 (* (pow x 6) (+ 1/36 (* 1/6 (/ 1 x)))))) |
#s(approx (* (* (+ (* 1/6 x) 1/2) (* x x)) (* (+ (* 1/6 x) 1/2) (* x x))) #s(hole binary64 (* (pow x 6) (+ 1/36 (+ (/ 1/4 (pow x 2)) (* 1/6 (/ 1 x))))))) |
#s(approx (* (+ (* 1/6 x) 1/2) (* x x)) #s(hole binary64 (* 1/6 (pow x 3)))) |
#s(approx (* (+ (* 1/6 x) 1/2) (* x x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x)))))) |
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 (* 1/6 x))) |
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 (* x (+ 1/6 (* 1/2 (/ 1 x)))))) |
#s(approx (- x (* (+ (* 1/6 x) 1/2) (* x x))) #s(hole binary64 (* -1/6 (pow x 3)))) |
#s(approx (- x (* (+ (* 1/6 x) 1/2) (* x x))) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))))) |
#s(approx (- x (* (+ (* 1/6 x) 1/2) (* x x))) #s(hole binary64 (* (pow x 3) (- (/ 1 (pow x 2)) (+ 1/6 (* 1/2 (/ 1 x))))))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x)))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24))))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2)))))))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2)))))))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2)))))))) |
#s(approx (/ (- (* x x) (* (* (+ (* 1/6 x) 1/2) (* x x)) (* (+ (* 1/6 x) 1/2) (* x x)))) (- x (* (+ (* 1/6 x) 1/2) (* x x)))) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6))))) |
#s(approx (- (* x x) (* (* (+ (* 1/6 x) 1/2) (* x x)) (* (+ (* 1/6 x) 1/2) (* x x)))) #s(hole binary64 (* (pow x 6) (- (* -1 (/ (+ 1/6 (* -1 (/ (- (/ 1 (pow x 2)) 1/4) x))) x)) 1/36)))) |
#s(approx (- x (* (+ (* 1/6 x) 1/2) (* x x))) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (- (/ 1 x) 1/2) x))))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | inf | ((/ (exp x) (- (exp x) 1)) (exp x) (- x -1) x -1 (- (exp x) 1) (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (+ (* 1/24 x) 1/6) 1/24 1/6 1/2 1 (/ (exp x) (- (exp x) 1)) (exp x) (- x -1) (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (/ (+ (* (* x x) 1/2) x) (* x x)) (+ (* (* x x) 1/2) x) (* x x) (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (+ (* (* x x) -1/720) 1/12) 1/12 (/ (exp x) (- (exp x) 1)) (- (exp x) 1) (/ (- (* x x) (* (* (+ (* 1/6 x) 1/2) (* x x)) (* (+ (* 1/6 x) 1/2) (* x x)))) (- x (* (+ (* 1/6 x) 1/2) (* x x)))) (- (* x x) (* (* (+ (* 1/6 x) 1/2) (* x x)) (* (+ (* 1/6 x) 1/2) (* x x)))) (* (* (+ (* 1/6 x) 1/2) (* x x)) (* (+ (* 1/6 x) 1/2) (* x x))) (* (+ (* 1/6 x) 1/2) (* x x)) (+ (* 1/6 x) 1/2) (- x (* (+ (* 1/6 x) 1/2) (* x x)))) |
| 3.0ms | x | @ | -inf | ((/ (exp x) (- (exp x) 1)) (exp x) (- x -1) x -1 (- (exp x) 1) (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (+ (* 1/24 x) 1/6) 1/24 1/6 1/2 1 (/ (exp x) (- (exp x) 1)) (exp x) (- x -1) (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (/ (+ (* (* x x) 1/2) x) (* x x)) (+ (* (* x x) 1/2) x) (* x x) (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (+ (* (* x x) -1/720) 1/12) 1/12 (/ (exp x) (- (exp x) 1)) (- (exp x) 1) (/ (- (* x x) (* (* (+ (* 1/6 x) 1/2) (* x x)) (* (+ (* 1/6 x) 1/2) (* x x)))) (- x (* (+ (* 1/6 x) 1/2) (* x x)))) (- (* x x) (* (* (+ (* 1/6 x) 1/2) (* x x)) (* (+ (* 1/6 x) 1/2) (* x x)))) (* (* (+ (* 1/6 x) 1/2) (* x x)) (* (+ (* 1/6 x) 1/2) (* x x))) (* (+ (* 1/6 x) 1/2) (* x x)) (+ (* 1/6 x) 1/2) (- x (* (+ (* 1/6 x) 1/2) (* x x)))) |
| 2.0ms | x | @ | 0 | ((/ (exp x) (- (exp x) 1)) (exp x) (- x -1) x -1 (- (exp x) 1) (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (+ (* 1/24 x) 1/6) 1/24 1/6 1/2 1 (/ (exp x) (- (exp x) 1)) (exp x) (- x -1) (- (exp x) 1) (/ (exp x) (- (exp x) 1)) (/ (+ (* (* x x) 1/2) x) (* x x)) (+ (* (* x x) 1/2) x) (* x x) (/ (exp x) (- (exp x) 1)) (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (+ (* (* x x) -1/720) 1/12) 1/12 (/ (exp x) (- (exp x) 1)) (- (exp x) 1) (/ (- (* x x) (* (* (+ (* 1/6 x) 1/2) (* x x)) (* (+ (* 1/6 x) 1/2) (* x x)))) (- x (* (+ (* 1/6 x) 1/2) (* x x)))) (- (* x x) (* (* (+ (* 1/6 x) 1/2) (* x x)) (* (+ (* 1/6 x) 1/2) (* x x)))) (* (* (+ (* 1/6 x) 1/2) (* x x)) (* (+ (* 1/6 x) 1/2) (* x x))) (* (+ (* 1/6 x) 1/2) (* x x)) (+ (* 1/6 x) 1/2) (- x (* (+ (* 1/6 x) 1/2) (* x x)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 386 | 3240 |
| 0 | 418 | 2918 |
| 1 | 1929 | 2914 |
| 0 | 8773 | 2730 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(/.f64 #s(approx (exp x) (-.f64 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) (-.f64 x #s(literal -1 binary64))) |
(-.f64 x #s(literal -1 binary64)) |
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 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) |
#s(literal 1/24 binary64) |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(/.f64 #s(approx (exp x) #s(approx (- x -1) #s(literal 1 binary64))) #s(approx (- (exp x) 1) x)) |
#s(approx (exp x) #s(approx (- x -1) #s(literal 1 binary64))) |
#s(approx (- x -1) #s(literal 1 binary64)) |
#s(approx (- (exp x) 1) x) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(approx (+ (* (* x x) 1/2) x) x) (*.f64 x x))) |
(/.f64 #s(approx (+ (* (* x x) 1/2) x) x) (*.f64 x x)) |
#s(approx (+ (* (* x x) 1/2) x) x) |
(*.f64 x x) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
(/.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) |
(fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) |
#s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) |
#s(literal 1/12 binary64) |
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)))) (-.f64 x (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)))))) |
#s(approx (- (exp x) 1) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)))) (-.f64 x (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)))) (-.f64 x (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)))) |
(-.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)) |
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) |
(-.f64 x (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ 1 x))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) #s(hole binary64 (/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x))) |
#s(approx (exp x) #s(hole binary64 1)) |
#s(approx (exp x) #s(hole binary64 (+ 1 x))) |
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x)))))) |
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))) |
#s(approx (- x -1) #s(hole binary64 1)) |
#s(approx (- x -1) #s(hole binary64 (+ 1 x))) |
#s(approx 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 (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 x)) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1 (* 1/2 x))))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 1)) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* 1/2 x)))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 x)))) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))) |
#s(approx (+ (* 1/24 x) 1/6) #s(hole binary64 1/6)) |
#s(approx (+ (* 1/24 x) 1/6) #s(hole binary64 (+ 1/6 (* 1/24 x)))) |
#s(approx (/ (+ (* (* x x) 1/2) x) (* x x)) #s(hole binary64 (/ 1 x))) |
#s(approx (/ (+ (* (* x x) 1/2) x) (* x x)) #s(hole binary64 (/ (+ 1 (* 1/2 x)) x))) |
#s(approx (+ (* (* x x) 1/2) x) #s(hole binary64 x)) |
#s(approx (+ (* (* x x) 1/2) x) #s(hole binary64 (* x (+ 1 (* 1/2 x))))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#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) (* (* (+ (* 1/6 x) 1/2) (* x x)) (* (+ (* 1/6 x) 1/2) (* x x)))) (- x (* (+ (* 1/6 x) 1/2) (* x x)))) #s(hole binary64 x)) |
#s(approx (/ (- (* x x) (* (* (+ (* 1/6 x) 1/2) (* x x)) (* (+ (* 1/6 x) 1/2) (* x x)))) (- x (* (+ (* 1/6 x) 1/2) (* x x)))) #s(hole binary64 (* x (+ 1 (* 1/2 x))))) |
#s(approx (/ (- (* x x) (* (* (+ (* 1/6 x) 1/2) (* x x)) (* (+ (* 1/6 x) 1/2) (* x x)))) (- x (* (+ (* 1/6 x) 1/2) (* x x)))) #s(hole binary64 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))) |
#s(approx (- (* x x) (* (* (+ (* 1/6 x) 1/2) (* x x)) (* (+ (* 1/6 x) 1/2) (* x x)))) #s(hole binary64 (pow x 2))) |
#s(approx (- (* x x) (* (* (+ (* 1/6 x) 1/2) (* x x)) (* (+ (* 1/6 x) 1/2) (* x x)))) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/4 (pow x 2)))))) |
#s(approx (- (* x x) (* (* (+ (* 1/6 x) 1/2) (* x x)) (* (+ (* 1/6 x) 1/2) (* x x)))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* -1/6 x) 1/4)))))) |
#s(approx (- (* x x) (* (* (+ (* 1/6 x) 1/2) (* x x)) (* (+ (* 1/6 x) 1/2) (* x x)))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* x (- (* -1/36 x) 1/6)) 1/4)))))) |
#s(approx (* (* (+ (* 1/6 x) 1/2) (* x x)) (* (+ (* 1/6 x) 1/2) (* x x))) #s(hole binary64 (* 1/4 (pow x 4)))) |
#s(approx (* (* (+ (* 1/6 x) 1/2) (* x x)) (* (+ (* 1/6 x) 1/2) (* x x))) #s(hole binary64 (* (pow x 4) (+ 1/4 (* 1/6 x))))) |
#s(approx (* (* (+ (* 1/6 x) 1/2) (* x x)) (* (+ (* 1/6 x) 1/2) (* x x))) #s(hole binary64 (* (pow x 4) (+ 1/4 (* x (+ 1/6 (* 1/36 x))))))) |
#s(approx (* (+ (* 1/6 x) 1/2) (* x x)) #s(hole binary64 (* 1/2 (pow x 2)))) |
#s(approx (* (+ (* 1/6 x) 1/2) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* 1/6 x))))) |
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 x)))) |
#s(approx (- x (* (+ (* 1/6 x) 1/2) (* x x))) #s(hole binary64 x)) |
#s(approx (- x (* (+ (* 1/6 x) 1/2) (* x x))) #s(hole binary64 (* x (+ 1 (* -1/2 x))))) |
#s(approx (- x (* (+ (* 1/6 x) 1/2) (* x x))) #s(hole binary64 (* x (+ 1 (* x (- (* -1/6 x) 1/2)))))) |
#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 (- x -1) #s(hole binary64 x)) |
#s(approx (- x -1) #s(hole binary64 (* x (+ 1 (/ 1 x))))) |
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* 1/24 (pow x 4)))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x)))))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* 1/24 (pow x 3)))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x)))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))))) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (* 1/24 (pow x 2)))) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x)))))) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))))) |
#s(approx (+ (* 1/24 x) 1/6) #s(hole binary64 (* 1/24 x))) |
#s(approx (+ (* 1/24 x) 1/6) #s(hole binary64 (* x (+ 1/24 (* 1/6 (/ 1 x)))))) |
#s(approx (/ (+ (* (* x x) 1/2) x) (* x x)) #s(hole binary64 1/2)) |
#s(approx (/ (+ (* (* x x) 1/2) x) (* x x)) #s(hole binary64 (+ 1/2 (/ 1 x)))) |
#s(approx (+ (* (* x x) 1/2) x) #s(hole binary64 (* 1/2 (pow x 2)))) |
#s(approx (+ (* (* x x) 1/2) x) #s(hole binary64 (* (pow x 2) (+ 1/2 (/ 1 x))))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (* -1/720 (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 (/ (- (* x x) (* (* (+ (* 1/6 x) 1/2) (* x x)) (* (+ (* 1/6 x) 1/2) (* x x)))) (- x (* (+ (* 1/6 x) 1/2) (* x x)))) #s(hole binary64 (* 1/6 (pow x 3)))) |
#s(approx (/ (- (* x x) (* (* (+ (* 1/6 x) 1/2) (* x x)) (* (+ (* 1/6 x) 1/2) (* x x)))) (- x (* (+ (* 1/6 x) 1/2) (* x x)))) #s(hole binary64 (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x)))))) |
#s(approx (/ (- (* x x) (* (* (+ (* 1/6 x) 1/2) (* x x)) (* (+ (* 1/6 x) 1/2) (* x x)))) (- x (* (+ (* 1/6 x) 1/2) (* x x)))) #s(hole binary64 (* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))) |
#s(approx (- (* x x) (* (* (+ (* 1/6 x) 1/2) (* x x)) (* (+ (* 1/6 x) 1/2) (* x x)))) #s(hole binary64 (* -1/36 (pow x 6)))) |
#s(approx (- (* x x) (* (* (+ (* 1/6 x) 1/2) (* x x)) (* (+ (* 1/6 x) 1/2) (* x x)))) #s(hole binary64 (* -1 (* (pow x 6) (+ 1/36 (* 1/6 (/ 1 x))))))) |
#s(approx (- (* x x) (* (* (+ (* 1/6 x) 1/2) (* x x)) (* (+ (* 1/6 x) 1/2) (* x x)))) #s(hole binary64 (* (pow x 6) (- (* -1 (/ (+ 1/6 (* 1/4 (/ 1 x))) x)) 1/36)))) |
#s(approx (- (* x x) (* (* (+ (* 1/6 x) 1/2) (* x x)) (* (+ (* 1/6 x) 1/2) (* x x)))) #s(hole binary64 (* (pow x 6) (- (/ 1 (pow x 4)) (+ 1/36 (+ (/ 1/4 (pow x 2)) (* 1/6 (/ 1 x)))))))) |
#s(approx (* (* (+ (* 1/6 x) 1/2) (* x x)) (* (+ (* 1/6 x) 1/2) (* x x))) #s(hole binary64 (* 1/36 (pow x 6)))) |
#s(approx (* (* (+ (* 1/6 x) 1/2) (* x x)) (* (+ (* 1/6 x) 1/2) (* x x))) #s(hole binary64 (* (pow x 6) (+ 1/36 (* 1/6 (/ 1 x)))))) |
#s(approx (* (* (+ (* 1/6 x) 1/2) (* x x)) (* (+ (* 1/6 x) 1/2) (* x x))) #s(hole binary64 (* (pow x 6) (+ 1/36 (+ (/ 1/4 (pow x 2)) (* 1/6 (/ 1 x))))))) |
#s(approx (* (+ (* 1/6 x) 1/2) (* x x)) #s(hole binary64 (* 1/6 (pow x 3)))) |
#s(approx (* (+ (* 1/6 x) 1/2) (* x x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x)))))) |
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 (* 1/6 x))) |
#s(approx (+ (* 1/6 x) 1/2) #s(hole binary64 (* x (+ 1/6 (* 1/2 (/ 1 x)))))) |
#s(approx (- x (* (+ (* 1/6 x) 1/2) (* x x))) #s(hole binary64 (* -1/6 (pow x 3)))) |
#s(approx (- x (* (+ (* 1/6 x) 1/2) (* x x))) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))))) |
#s(approx (- x (* (+ (* 1/6 x) 1/2) (* x x))) #s(hole binary64 (* (pow x 3) (- (/ 1 (pow x 2)) (+ 1/6 (* 1/2 (/ 1 x))))))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x)))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24))))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2)))))))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2)))))))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2)))))))) |
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2)))))))) |
#s(approx (/ (- (* x x) (* (* (+ (* 1/6 x) 1/2) (* x x)) (* (+ (* 1/6 x) 1/2) (* x x)))) (- x (* (+ (* 1/6 x) 1/2) (* x x)))) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6))))) |
#s(approx (- (* x x) (* (* (+ (* 1/6 x) 1/2) (* x x)) (* (+ (* 1/6 x) 1/2) (* x x)))) #s(hole binary64 (* (pow x 6) (- (* -1 (/ (+ 1/6 (* -1 (/ (- (/ 1 (pow x 2)) 1/4) x))) x)) 1/36)))) |
#s(approx (- x (* (+ (* 1/6 x) 1/2) (* x x))) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (- (/ 1 x) 1/2) x))))))) |
| Outputs |
|---|
(/.f64 (neg.f64 (neg.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))))) (neg.f64 (neg.f64 #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 (neg.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64)))) (neg.f64 #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))) |
(/.f64 #s(approx (exp x) (-.f64 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) (-.f64 x #s(literal -1 binary64))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (+.f64 x #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1 binary64)))))) |
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 x x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1 binary64))))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (fma.f64 x x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1 binary64)))))) |
(-.f64 x #s(literal -1 binary64)) |
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 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) |
(*.f64 x (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)) #s(literal 3 binary64))) (fma.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)) (*.f64 x (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x))) (*.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x)) (*.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x))))) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x)) |
(fma.f64 x #s(literal 1 binary64) (*.f64 x (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x))) |
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x))) |
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) (*.f64 (neg.f64 x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(fma.f64 x (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))) |
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(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))) |
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(*.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x))) |
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) (*.f64 x x)) |
(*.f64 (pow.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(*.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (*.f64 x x)) |
(*.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x))) (neg.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)))) |
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(*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)))) |
(pow.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (fabs.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) (*.f64 x x)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 2 binary64)) |
(fabs.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x))) #s(literal 2 binary64))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 x x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 x x)))))) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) x)) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) x))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) x)))))) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 x x))) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) x))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 x x))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) x))) |
(fma.f64 x (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 x x))) |
(fma.f64 x (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) x))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 x x))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) x))) |
(/.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) x) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))))) |
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(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))) |
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(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))) |
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) |
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))) |
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))) (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x)) |
(+.f64 (/.f64 (*.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/8 binary64) (+.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))))) |
(+.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))) (/.f64 (*.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))) |
(+.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) (*.f64 x x)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) (*.f64 x x)) (*.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) (*.f64 x x))) (*.f64 x (*.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) (*.f64 x x)))))) |
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(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 (pow.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 x (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)))))) (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 x x (fma.f64 (pow.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 x (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x))))))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 x (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)))) (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 x (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x))))) |
(-.f64 x (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x))) |
(+.f64 (/.f64 (*.f64 x x) (+.f64 x (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)))) (/.f64 (*.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x))) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x))) (+.f64 x (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x))))) |
(+.f64 x (*.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) (*.f64 x x))) |
#s(approx (/ (exp x) (- (exp x) 1)) (pow.f64 x #s(literal -1 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.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 #s(literal 1 binary64) x)) |
#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 -1) #s(literal 1 binary64)) |
#s(approx (- x -1) (+.f64 #s(literal 1 binary64) x)) |
#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 (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) x) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) #s(literal 1/2 binary64)) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) |
#s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) |
#s(approx (+ (* 1/24 x) 1/6) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) |
#s(approx (/ (+ (* (* x x) 1/2) x) (* x x)) (pow.f64 x #s(literal -1 binary64))) |
#s(approx (/ (+ (* (* x x) 1/2) x) (* x x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) |
#s(approx (+ (* (* x x) 1/2) x) x) |
#s(approx (+ (* (* x x) 1/2) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) |
#s(approx (* x x) (*.f64 x x)) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) (pow.f64 x #s(literal -1 binary64))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) (/.f64 (fma.f64 (fma.f64 (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) (* (* (+ (* 1/6 x) 1/2) (* x x)) (* (+ (* 1/6 x) 1/2) (* x x)))) (- x (* (+ (* 1/6 x) 1/2) (* x x)))) x) |
#s(approx (/ (- (* x x) (* (* (+ (* 1/6 x) 1/2) (* x x)) (* (+ (* 1/6 x) 1/2) (* x x)))) (- x (* (+ (* 1/6 x) 1/2) (* x x)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) |
#s(approx (/ (- (* x x) (* (* (+ (* 1/6 x) 1/2) (* x x)) (* (+ (* 1/6 x) 1/2) (* x x)))) (- x (* (+ (* 1/6 x) 1/2) (* x x)))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
#s(approx (- (* x x) (* (* (+ (* 1/6 x) 1/2) (* x x)) (* (+ (* 1/6 x) 1/2) (* x x)))) (*.f64 x x)) |
#s(approx (- (* x x) (* (* (+ (* 1/6 x) 1/2) (* x x)) (* (+ (* 1/6 x) 1/2) (* x x)))) (*.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x))) |
#s(approx (- (* x x) (* (* (+ (* 1/6 x) 1/2) (* x x)) (* (+ (* 1/6 x) 1/2) (* x x)))) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) x) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x))) |
#s(approx (- (* x x) (* (* (+ (* 1/6 x) 1/2) (* x x)) (* (+ (* 1/6 x) 1/2) (* x x)))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/36 binary64) x) #s(literal 1/6 binary64)) x) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x))) |
#s(approx (* (* (+ (* 1/6 x) 1/2) (* x x)) (* (+ (* 1/6 x) 1/2) (* x x))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))) |
#s(approx (* (* (+ (* 1/6 x) 1/2) (* x x)) (* (+ (* 1/6 x) 1/2) (* x x))) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (* (* (+ (* 1/6 x) 1/2) (* x x)) (* (+ (* 1/6 x) 1/2) (* x x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/36 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (* (+ (* 1/6 x) 1/2) (* x x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (* (+ (* 1/6 x) 1/2) (* x x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x))) |
#s(approx (+ (* 1/6 x) 1/2) #s(literal 1/2 binary64)) |
#s(approx (+ (* 1/6 x) 1/2) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) |
#s(approx (- x (* (+ (* 1/6 x) 1/2) (* x x))) x) |
#s(approx (- x (* (+ (* 1/6 x) 1/2) (* x x))) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)) |
#s(approx (- x (* (+ (* 1/6 x) 1/2) (* x x))) (*.f64 (fma.f64 (-.f64 (*.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 (exp.f64 x) (expm1.f64 x))) |
#s(approx (exp x) (exp.f64 x)) |
#s(approx (- x -1) x) |
#s(approx (- x -1) (fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))) |
#s(approx (- (exp x) 1) (expm1.f64 x)) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (*.f64 (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 1/6 binary64) x)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (*.f64 (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/6 binary64) x))) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/24 binary64)))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 1/6 binary64) x)))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (*.f64 (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/6 binary64) x))) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/24 binary64)) (*.f64 x x))) |
#s(approx (+ (* (+ (* 1/24 x) 1/6) x) 1/2) (*.f64 (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 1/6 binary64) x)) (*.f64 x x))) |
#s(approx (+ (* 1/24 x) 1/6) (*.f64 #s(literal 1/24 binary64) x)) |
#s(approx (+ (* 1/24 x) 1/6) (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/24 binary64)) x)) |
#s(approx (/ (+ (* (* x x) 1/2) x) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (* (* x x) 1/2) x) (* x x)) (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
#s(approx (+ (* (* x x) 1/2) x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (+ (* (* x x) 1/2) x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x)) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64)) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) (*.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/720 binary64))) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64)) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) (*.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/720 binary64))) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64))) |
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64)) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (*.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (+ (* (* x x) -1/720) 1/12) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))) |
#s(approx (+ (* (* x x) -1/720) 1/12) (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64)) #s(literal 1/720 binary64)) (*.f64 x x))) |
#s(approx (/ (- (* x x) (* (* (+ (* 1/6 x) 1/2) (* x x)) (* (+ (* 1/6 x) 1/2) (* x x)))) (- x (* (+ (* 1/6 x) 1/2) (* x x)))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) |
#s(approx (/ (- (* x x) (* (* (+ (* 1/6 x) 1/2) (* x x)) (* (+ (* 1/6 x) 1/2) (* x x)))) (- x (* (+ (* 1/6 x) 1/2) (* x x)))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (/ (- (* x x) (* (* (+ (* 1/6 x) 1/2) (* x x)) (* (+ (* 1/6 x) 1/2) (* x x)))) (- x (* (+ (* 1/6 x) 1/2) (* x x)))) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (pow.f64 x #s(literal -2 binary64))) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (- (* x x) (* (* (+ (* 1/6 x) 1/2) (* x x)) (* (+ (* 1/6 x) 1/2) (* x x)))) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/36 binary64))) |
#s(approx (- (* x x) (* (* (+ (* 1/6 x) 1/2) (* x x)) (* (+ (* 1/6 x) 1/2) (* x x)))) (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/36 binary64)) (pow.f64 x #s(literal 6 binary64))))) |
#s(approx (- (* x x) (* (* (+ (* 1/6 x) 1/2) (* x x)) (* (+ (* 1/6 x) 1/2) (* x x)))) (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/6 binary64)) x)) #s(literal 1/36 binary64)) (pow.f64 x #s(literal 6 binary64)))) |
#s(approx (- (* x x) (* (* (+ (* 1/6 x) 1/2) (* x x)) (* (+ (* 1/6 x) 1/2) (* x x)))) (*.f64 (-.f64 (-.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/36 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (/.f64 #s(literal 1/6 binary64) x))) (pow.f64 x #s(literal 6 binary64)))) |
#s(approx (* (* (+ (* 1/6 x) 1/2) (* x x)) (* (+ (* 1/6 x) 1/2) (* x x))) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/36 binary64))) |
#s(approx (* (* (+ (* 1/6 x) 1/2) (* x x)) (* (+ (* 1/6 x) 1/2) (* x x))) (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) x) #s(literal 1/36 binary64)) (pow.f64 x #s(literal 6 binary64)))) |
#s(approx (* (* (+ (* 1/6 x) 1/2) (* x x)) (* (+ (* 1/6 x) 1/2) (* x x))) (*.f64 (+.f64 (+.f64 #s(literal 1/36 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1/6 binary64) x)) (pow.f64 x #s(literal 6 binary64)))) |
#s(approx (* (+ (* 1/6 x) 1/2) (* x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) |
#s(approx (* (+ (* 1/6 x) 1/2) (* x x)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (+ (* 1/6 x) 1/2) (*.f64 #s(literal 1/6 binary64) x)) |
#s(approx (+ (* 1/6 x) 1/2) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) x)) |
#s(approx (- x (* (+ (* 1/6 x) 1/2) (* x x))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) |
#s(approx (- x (* (+ (* 1/6 x) 1/2) (* x x))) (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
#s(approx (- x (* (+ (* 1/6 x) 1/2) (* x x))) (*.f64 (-.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) x) (*.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x)) #s(literal 1/6 binary64)) x) #s(literal -1 binary64) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) x)) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 x) 1/6) x) 1/2) x) 1) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (pow.f64 x #s(literal -2 binary64))) #s(literal 1/6 binary64)) x)) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) (neg.f64 (*.f64 (-.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64))) (pow.f64 x #s(literal 3 binary64))))) |
#s(approx (/ (+ (* (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) x) 1) x) (neg.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)) 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) (neg.f64 (*.f64 (-.f64 (fma.f64 (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) #s(literal 1/720 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64))) (pow.f64 x #s(literal 3 binary64))))) |
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (neg.f64 (*.f64 (-.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64))) (pow.f64 x #s(literal 3 binary64))))) |
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) 1/2) (neg.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/12 binary64)) x) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
#s(approx (/ (- (* x x) (* (* (+ (* 1/6 x) 1/2) (* x x)) (* (+ (* 1/6 x) 1/2) (* x x)))) (- x (* (+ (* 1/6 x) 1/2) (* x x)))) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
#s(approx (- (* x x) (* (* (+ (* 1/6 x) 1/2) (* x x)) (* (+ (* 1/6 x) 1/2) (* x x)))) (*.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)) x) #s(literal -1 binary64) #s(literal 1/6 binary64)) x)) #s(literal 1/36 binary64)) (pow.f64 x #s(literal 6 binary64)))) |
#s(approx (- x (* (+ (* 1/6 x) 1/2) (* x x))) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x) #s(literal -1 binary64) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
Compiled 24 603 to 2 601 computations (89.4% saved)
15 alts after pruning (5 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 563 | 2 | 565 |
| Fresh | 0 | 3 | 3 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 7 | 7 |
| Total | 565 | 15 | 580 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (exp.f64 x) (expm1.f64 x)) |
| ✓ | 97.4% | (/.f64 (exp.f64 x) #s(approx (- (exp x) 1) x)) |
| ✓ | 74.2% | (/.f64 #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) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) |
| 47.7% | (/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)))) #s(approx (- x (* (+ (* 1/6 x) 1/2) (* x x))) x)))) | |
| ✓ | 68.7% | (/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) x)) |
| 3.7% | (/.f64 #s(approx (exp x) #s(approx (- x -1) x)) #s(approx (- (exp x) 1) x)) | |
| 84.6% | (/.f64 #s(approx (exp x) #s(approx (- x -1) #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))) | |
| ✓ | 69.2% | (/.f64 #s(approx (exp x) #s(approx (- x -1) #s(literal 1 binary64))) #s(approx (- (exp x) 1) x)) |
| 89.2% | (/.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))) | |
| 69.6% | #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))) | |
| ✓ | 69.9% | #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)) |
| ✓ | 69.9% | #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
| ✓ | 69.6% | #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) |
| ✓ | 46.2% | #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(approx (+ (* (* x x) 1/2) x) x) (*.f64 x x))) |
| ✓ | 3.4% | #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64))) |
Compiled 805 to 304 computations (62.2% saved)
| Inputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64))) |
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) x)) |
(/.f64 #s(approx (exp x) #s(approx (- x -1) #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 (+ (* (* x x) 1/2) 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)) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x) #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 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x) (*.f64 x x))) |
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) |
(/.f64 #s(approx (exp x) #s(approx (- x -1) #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) (-.f64 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 (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))) |
(/.f64 #s(approx (exp x) (-.f64 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) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) 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) (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) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) |
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)))) #s(approx (- x (* (+ (* 1/6 x) 1/2) (* x x))) x)))) |
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)))) (-.f64 x (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)))))) |
#s(approx (/ (exp x) (- (exp x) 1)) (pow.f64 x #s(literal -1 binary64))) |
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) x)) |
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) |
(/.f64 (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:
| 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 |
|---|---|---|
| 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))) |
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) x)) |
(/.f64 #s(approx (exp x) #s(approx (- x -1) #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 (+ (* (* x x) 1/2) 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)) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x) #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 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x) (*.f64 x x))) |
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) |
(/.f64 #s(approx (exp x) #s(approx (- x -1) #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) (-.f64 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 (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))) |
(/.f64 #s(approx (exp x) (-.f64 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) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) 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) (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) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) |
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)))) #s(approx (- x (* (+ (* 1/6 x) 1/2) (* x x))) x)))) |
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)))) (-.f64 x (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)))))) |
#s(approx (/ (exp x) (- (exp x) 1)) (pow.f64 x #s(literal -1 binary64))) |
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) x)) |
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) |
(/.f64 (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:
| 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 |
|---|---|---|
| 98.7% | 1 | (exp.f64 x) |
| 98.7% | 1 | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 98.7% | 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))) |
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) x)) |
(/.f64 #s(approx (exp x) #s(approx (- x -1) #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 (+ (* (* x x) 1/2) 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)) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x) #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 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x) (*.f64 x x))) |
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) |
(/.f64 #s(approx (exp x) #s(approx (- x -1) #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) (-.f64 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 (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))) |
(/.f64 #s(approx (exp x) (-.f64 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) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) 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) (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) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) |
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)))) #s(approx (- x (* (+ (* 1/6 x) 1/2) (* x x))) x)))) |
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)))) (-.f64 x (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)))))) |
#s(approx (/ (exp x) (- (exp x) 1)) (pow.f64 x #s(literal -1 binary64))) |
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) x)) |
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) |
| Outputs |
|---|
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) |
3 calls:
| 8.0ms | (exp.f64 x) |
| 6.0ms | x |
| 5.0ms | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.3% | 1 | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 98.3% | 1 | (exp.f64 x) |
| 98.3% | 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))) |
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) x)) |
(/.f64 #s(approx (exp x) #s(approx (- x -1) #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 (+ (* (* x x) 1/2) 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)) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x) #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 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x) (*.f64 x x))) |
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) |
(/.f64 #s(approx (exp x) #s(approx (- x -1) #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) (-.f64 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 (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))) |
(/.f64 #s(approx (exp x) (-.f64 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) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) 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) (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) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) |
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)))) #s(approx (- x (* (+ (* 1/6 x) 1/2) (* x x))) x)))) |
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)))) (-.f64 x (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)))))) |
#s(approx (/ (exp x) (- (exp x) 1)) (pow.f64 x #s(literal -1 binary64))) |
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) x)) |
| Outputs |
|---|
(/.f64 (exp.f64 x) #s(approx (- (exp x) 1) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 (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)) |
3 calls:
| 9.0ms | (exp.f64 x) |
| 6.0ms | x |
| 5.0ms | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 2 | (exp.f64 x) |
| 97.4% | 1 | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 99.1% | 2 | 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))) |
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) x)) |
(/.f64 #s(approx (exp x) #s(approx (- x -1) #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 (+ (* (* x x) 1/2) 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)) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x) #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 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x) (*.f64 x x))) |
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) |
(/.f64 #s(approx (exp x) #s(approx (- x -1) #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) (-.f64 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 (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))) |
(/.f64 #s(approx (exp x) (-.f64 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) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) 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) (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) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) |
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)))) #s(approx (- x (* (+ (* 1/6 x) 1/2) (* x x))) x)))) |
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)))) (-.f64 x (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)))))) |
#s(approx (/ (exp x) (- (exp x) 1)) (pow.f64 x #s(literal -1 binary64))) |
| Outputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(approx (+ (* (* x x) 1/2) x) x) (*.f64 x x))) |
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)))) #s(approx (- x (* (+ (* 1/6 x) 1/2) (* x 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)) |
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 |
|---|---|---|
| 90.0% | 1 | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 90.0% | 1 | (exp.f64 x) |
| 94.2% | 3 | 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))) |
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) x)) |
(/.f64 #s(approx (exp x) #s(approx (- x -1) #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 (+ (* (* x x) 1/2) 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)) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x) #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 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x) (*.f64 x x))) |
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) |
(/.f64 #s(approx (exp x) #s(approx (- x -1) #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) (-.f64 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 (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))) |
(/.f64 #s(approx (exp x) (-.f64 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) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) 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) (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) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) |
| Outputs |
|---|
(/.f64 #s(approx (exp x) (-.f64 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:
| 5.0ms | x |
| 4.0ms | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 4.0ms | (exp.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.0% | 1 | (exp.f64 x) |
| 90.0% | 1 | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 90.0% | 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))) |
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) x)) |
(/.f64 #s(approx (exp x) #s(approx (- x -1) #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 (+ (* (* x x) 1/2) 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)) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x) #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 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x) (*.f64 x x))) |
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) |
(/.f64 #s(approx (exp x) #s(approx (- x -1) #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) (-.f64 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 (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))) |
| Outputs |
|---|
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 (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)) |
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 |
|---|---|---|
| 90.9% | 2 | x |
| 90.9% | 2 | (exp.f64 x) |
| 89.2% | 1 | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
Compiled 10 to 8 computations (20% saved)
| Inputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64))) |
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) x)) |
(/.f64 #s(approx (exp x) #s(approx (- x -1) #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 (+ (* (* x x) 1/2) 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)) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x) #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 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x) (*.f64 x x))) |
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) |
(/.f64 #s(approx (exp x) #s(approx (- x -1) #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) (-.f64 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 (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) (-.f64 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:
| 25.0ms | (exp.f64 x) |
| 4.0ms | x |
| 3.0ms | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.2% | 1 | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 85.2% | 1 | x |
| 85.2% | 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))) |
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) x)) |
(/.f64 #s(approx (exp x) #s(approx (- x -1) #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 (+ (* (* x x) 1/2) 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)) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x) #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 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x) (*.f64 x x))) |
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) |
(/.f64 #s(approx (exp x) #s(approx (- x -1) #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))) |
| Outputs |
|---|
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
3 calls:
| 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 |
|---|---|---|
| 84.6% | 1 | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 86.2% | 2 | (exp.f64 x) |
| 86.2% | 2 | 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))) |
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) x)) |
(/.f64 #s(approx (exp x) #s(approx (- x -1) #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 (+ (* (* x x) 1/2) 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)) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x) #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 #s(approx (+ (* (* x x) -1/720) 1/12) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x) (*.f64 x x))) |
| Outputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(approx (+ (* (* x x) 1/2) x) x) (*.f64 x x))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
3 calls:
| 3.0ms | x |
| 3.0ms | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 2.0ms | (exp.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.9% | 2 | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 81.3% | 2 | (exp.f64 x) |
| 81.3% | 2 | 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))) |
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) x)) |
(/.f64 #s(approx (exp x) #s(approx (- x -1) #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 (+ (* (* x x) 1/2) 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)) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(approx (+ (* (* x x) 1/2) x) x) (*.f64 x x))) |
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))) |
3 calls:
| 3.0ms | x |
| 2.0ms | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 2.0ms | (exp.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.5% | 2 | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 80.7% | 2 | (exp.f64 x) |
| 80.7% | 2 | 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))) |
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) x)) |
(/.f64 #s(approx (exp x) #s(approx (- x -1) #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 (+ (* (* x x) 1/2) 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 (+ (* (* x x) 1/2) 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)) |
2 calls:
| 2.0ms | x |
| 2.0ms | (exp.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.7% | 2 | (exp.f64 x) |
| 80.7% | 2 | x |
Compiled 3 to 3 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 x) 1) x) #s(literal 1/2 binary64))) |
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) x)) |
(/.f64 #s(approx (exp x) #s(approx (- x -1) #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 (+ (* (* x x) 1/2) x) x) (*.f64 x x))) |
| Outputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(approx (+ (* (* x x) 1/2) x) x) (*.f64 x x))) |
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) x)) |
3 calls:
| 2.0ms | x |
| 2.0ms | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 2.0ms | (exp.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.8% | 2 | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 79.8% | 2 | (exp.f64 x) |
| 79.8% | 2 | 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))) |
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) x)) |
(/.f64 #s(approx (exp x) #s(approx (- x -1) #s(literal 1 binary64))) #s(approx (- (exp x) 1) x)) |
(/.f64 #s(approx (exp x) #s(approx (- x -1) x)) #s(approx (- (exp x) 1) x)) |
(/.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (- (exp x) 1) x)) |
| Outputs |
|---|
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) x)) |
3 calls:
| 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 |
|---|---|---|
| 69.2% | 1 | (exp.f64 x) |
| 69.2% | 1 | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 69.2% | 1 | x |
Compiled 10 to 8 computations (20% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ (* 1/2 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 |
|---|---|---|
| 3.4% | 1 | x |
| 3.4% | 1 | (exp.f64 x) |
| 3.4% | 1 | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
Compiled 10 to 8 computations (20% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 47.0ms | -60.97162694209883 | -5.0577500492226704e-5 |
| 42.0ms | 144× | 0 | valid |
Compiled 289 to 224 computations (22.5% saved)
ival-exp: 2.0ms (55.2% of total)ival-expm1: 1.0ms (27.6% of total)ival-div!: 1.0ms (27.6% of total)adjust: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 4.0ms | -60.97162694209883 | -5.0577500492226704e-5 |
| 10.0ms | -1.3681951746056983e+160 | -6.026424352645713e+151 |
| 6.0ms | 176× | 0 | valid |
Compiled 1 243 to 746 computations (40% saved)
ival-exp: 1.0ms (29.5% of total)ival-expm1: 1.0ms (29.5% of total)ival-div!: 1.0ms (29.5% of total)adjust: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.3140485495808304e-27 | 0.999949423778528 |
Compiled 9 to 9 computations (0% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 7.0ms | -60.97162694209883 | -5.0577500492226704e-5 |
| 3.0ms | 80× | 0 | valid |
Compiled 334 to 251 computations (24.9% saved)
ival-exp: 1.0ms (50.2% of total)ival-expm1: 1.0ms (50.2% of total)adjust: 0.0ms (0% of total)ival-div!: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 4.0ms | -60.97162694209883 | -5.0577500492226704e-5 |
| 2.0ms | 48× | 0 | valid |
Compiled 352 to 251 computations (28.7% saved)
ival-exp: 1.0ms (82.6% of total)adjust: 0.0ms (0% of total)ival-expm1: 0.0ms (0% of total)ival-div!: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | -60.97162694209883 | -5.0577500492226704e-5 |
| 8.0ms | 112× | 0 | valid |
Compiled 325 to 233 computations (28.3% saved)
ival-exp: 4.0ms (70.6% of total)ival-expm1: 1.0ms (17.7% of total)ival-div!: 1.0ms (17.7% of total)adjust: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -60.97162694209883 | -5.0577500492226704e-5 |
Compiled 325 to 233 computations (28.3% saved)
| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -1.8842703988340095e-6 | -3.255661606480017e-17 |
| 1.0ms | 16× | 0 | valid |
Compiled 44 to 32 computations (27.3% saved)
ival-exp: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-expm1: 0.0ms (0% of total)ival-div!: 0.0ms (0% of total)| 1× | fuel |
Compiled 489 to 104 computations (78.7% saved)
Compiled 1 004 to 230 computations (77.1% saved)
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