
Time bar (total: 826.0ms)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 50% | 50% | 0% | 0% | 0% | 0 |
| 100% | 50% | 0% | 50% | 0% | 0% | 0% | 1 |
Compiled 9 to 6 computations (33.3% saved)
| 183.0ms | 8 256× | 0 | valid |
ival-expm1: 58.0ms (98.1% of total)adjust: 2.0ms (3.4% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 14 |
| 1 | 29 | 14 |
| 2 | 94 | 14 |
| 3 | 554 | 14 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 8.5% | (-.f64 (exp.f64 x) #s(literal 1 binary64)) |
Compiled 8 to 8 computations (0% saved)
| Inputs |
|---|
(-.f64 (exp.f64 x) #s(literal 1 binary64)) |
(exp.f64 x) |
x |
#s(literal 1 binary64) |
| Outputs |
|---|
#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) #s(hole binary64 1)) |
#s(approx (exp x) #s(hole binary64 (+ 1 x))) |
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x)))))) |
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))) |
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1))) |
#s(approx (exp x) #s(hole binary64 (exp x))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | ((- (exp x) 1) (exp x) x 1) |
| 0.0ms | x | @ | 0 | ((- (exp x) 1) (exp x) x 1) |
| 0.0ms | x | @ | inf | ((- (exp x) 1) (exp x) x 1) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 114 |
| 0 | 39 | 114 |
| 1 | 248 | 114 |
| 2 | 2212 | 114 |
| 0 | 8089 | 89 |
| 1 | 32787 | 89 |
| 1× | saturated |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(-.f64 (exp.f64 x) #s(literal 1 binary64)) |
(exp.f64 x) |
x |
#s(literal 1 binary64) |
#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) #s(hole binary64 1)) |
#s(approx (exp x) #s(hole binary64 (+ 1 x))) |
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x)))))) |
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))) |
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1))) |
#s(approx (exp x) #s(hole binary64 (exp x))) |
| Outputs |
|---|
(neg.f64 (neg.f64 (expm1.f64 x))) |
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.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 (+.f64 x #s(literal 0 binary64)) #s(literal 0 binary64))) |
(expm1.f64 (+.f64 #s(literal 0 binary64) (+.f64 x #s(literal 0 binary64)))) |
(expm1.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64))) |
(expm1.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) |
(expm1.f64 (+.f64 #s(literal 0 binary64) x)) |
(expm1.f64 (+.f64 x #s(literal 0 binary64))) |
(expm1.f64 x) |
(-.f64 (exp.f64 x) #s(literal 1 binary64)) |
(+.f64 #s(literal -1 binary64) (exp.f64 x)) |
(+.f64 (cosh.f64 x) (+.f64 (sinh.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)) |
(*.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x))) |
(*.f64 (exp.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (exp.f64 x)) |
(pow.f64 (exp.f64 #s(literal 1 binary64)) x) |
(pow.f64 (exp.f64 (+.f64 x x)) #s(literal 1/2 binary64)) |
(pow.f64 (exp.f64 x) #s(literal 1 binary64)) |
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 4 binary64)) |
(sqrt.f64 (exp.f64 (+.f64 x x))) |
(-.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))) |
(fabs.f64 (-.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x))) |
(fabs.f64 (neg.f64 (neg.f64 (exp.f64 x)))) |
(fabs.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 x)))) |
(fabs.f64 (*.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64))) |
(fabs.f64 (neg.f64 (exp.f64 x))) |
(fabs.f64 (exp.f64 x)) |
(exp.f64 (+.f64 (+.f64 x #s(literal 0 binary64)) #s(literal 0 binary64))) |
(exp.f64 (+.f64 #s(literal 0 binary64) (+.f64 x #s(literal 0 binary64)))) |
(exp.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64))) |
(exp.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (+.f64 #s(literal 0 binary64) x)) |
(exp.f64 (+.f64 x #s(literal 0 binary64))) |
(exp.f64 x) |
(+.f64 (cosh.f64 (+.f64 x #s(literal 0 binary64))) (sinh.f64 (+.f64 x #s(literal 0 binary64)))) |
(+.f64 (sinh.f64 x) (cosh.f64 x)) |
(+.f64 (cosh.f64 x) (sinh.f64 x)) |
x |
#s(literal 1 binary64) |
#s(approx (- (exp x) 1) x) |
#s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) |
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
#s(approx (exp x) #s(literal 1 binary64)) |
#s(approx (exp x) (-.f64 x #s(literal -1 binary64))) |
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
#s(approx (- (exp x) 1) (expm1.f64 x)) |
#s(approx (exp x) (exp.f64 x)) |
Compiled 221 to 142 computations (35.7% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 49 | 3 | 52 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 50 | 3 | 53 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 7.5% | (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) |
| ▶ | 100.0% | (expm1.f64 x) |
| ▶ | 98.0% | #s(approx (- (exp x) 1) x) |
Compiled 14 to 14 computations (0% saved)
| Inputs |
|---|
#s(approx (- (exp x) 1) x) |
x |
(expm1.f64 x) |
(-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) |
#s(approx (exp x) (-.f64 x #s(literal -1 binary64))) |
(-.f64 x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
| Outputs |
|---|
#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) #s(hole binary64 1)) |
#s(approx (exp x) #s(hole binary64 (+ 1 x))) |
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x)))))) |
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))) |
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1))) |
#s(approx (exp x) #s(hole binary64 (exp x))) |
#s(approx (- x -1) #s(hole binary64 (* x (+ 1 (/ 1 x))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | ((- (exp x) 1) x (- (exp x) 1) (- (exp x) 1) (exp x) (- x -1) -1 1) |
| 0.0ms | x | @ | inf | ((- (exp x) 1) x (- (exp x) 1) (- (exp x) 1) (exp x) (- x -1) -1 1) |
| 0.0ms | x | @ | 0 | ((- (exp x) 1) x (- (exp x) 1) (- (exp x) 1) (exp x) (- x -1) -1 1) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 131 |
| 0 | 47 | 131 |
| 1 | 304 | 127 |
| 0 | 2754 | 116 |
| 1 | 7911 | 116 |
| 1× | saturated |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (- (exp x) 1) x) |
x |
(expm1.f64 x) |
(-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) |
#s(approx (exp x) (-.f64 x #s(literal -1 binary64))) |
(-.f64 x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
#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) #s(hole binary64 1)) |
#s(approx (exp x) #s(hole binary64 (+ 1 x))) |
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x)))))) |
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))) |
#s(approx (- (exp x) 1) #s(hole binary64 (- (exp x) 1))) |
#s(approx (exp x) #s(hole binary64 (exp x))) |
#s(approx (- x -1) #s(hole binary64 (* x (+ 1 (/ 1 x))))) |
| Outputs |
|---|
#s(approx (- (exp x) 1) x) |
x |
(neg.f64 (neg.f64 (expm1.f64 x))) |
(fma.f64 (*.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64) #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 (exp.f64 x) #s(literal 1 binary64)) |
(+.f64 (cosh.f64 x) (+.f64 (sinh.f64 x) #s(literal -1 binary64))) |
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64))) |
(+.f64 #s(literal -1 binary64) (exp.f64 x)) |
(+.f64 (exp.f64 x) #s(literal -1 binary64)) |
(neg.f64 (-.f64 #s(literal 1 binary64) #s(approx (exp x) (-.f64 x #s(literal -1 binary64))))) |
(fma.f64 (*.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) |
(-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) |
(+.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) #s(approx (exp x) (-.f64 x #s(literal -1 binary64)))) |
(*.f64 (*.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) #s(approx (exp x) (-.f64 x #s(literal -1 binary64)))) |
#s(approx (exp x) (-.f64 x #s(literal -1 binary64))) |
(neg.f64 (*.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) |
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(neg.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64))) |
(neg.f64 (-.f64 #s(literal -1 binary64) x)) |
(-.f64 #s(literal 1 binary64) (neg.f64 x)) |
(-.f64 x (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) x))) |
(-.f64 x (*.f64 (/.f64 #s(literal -1 binary64) x) x)) |
(-.f64 x #s(literal -1 binary64)) |
(+.f64 #s(literal 1 binary64) x) |
(+.f64 x #s(literal 1 binary64)) |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
#s(approx (- (exp x) 1) x) |
#s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) |
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
#s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) |
#s(approx (exp x) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) #s(approx (exp x) (-.f64 x #s(literal -1 binary64)))) |
#s(approx (exp x) (-.f64 x #s(literal -1 binary64))) |
(neg.f64 (*.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) |
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
#s(approx (- (exp x) 1) (expm1.f64 x)) |
#s(approx (exp x) (exp.f64 x)) |
#s(approx (- x -1) (-.f64 x #s(literal -1 binary64))) |
Compiled 169 to 110 computations (34.9% saved)
3 alts after pruning (0 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 38 | 0 | 38 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 3 | 3 |
| Done | 0 | 0 | 0 |
| Total | 38 | 3 | 41 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 7.5% | (-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) |
| ✓ | 100.0% | (expm1.f64 x) |
| ✓ | 98.0% | #s(approx (- (exp x) 1) x) |
Compiled 28 to 27 computations (3.6% saved)
| Inputs |
|---|
#s(approx (- (exp x) 1) x) |
(-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) |
(expm1.f64 x) |
(-.f64 (exp.f64 x) #s(literal 1 binary64)) |
| Outputs |
|---|
(expm1.f64 x) |
3 calls:
| 2.0ms | x |
| 1.0ms | (-.f64 (exp.f64 x) #s(literal 1 binary64)) |
| 1.0ms | (exp.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | (exp.f64 x) |
| 100.0% | 1 | (-.f64 (exp.f64 x) #s(literal 1 binary64)) |
| 100.0% | 1 | x |
Compiled 7 to 7 computations (0% saved)
Total -57.9b remaining (-4468.2%)
Threshold costs -57.9b (-4468.2%)
| Inputs |
|---|
#s(approx (- (exp x) 1) x) |
(-.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (- (exp x) 1) x) |
3 calls:
| 1.0ms | x |
| 1.0ms | (-.f64 (exp.f64 x) #s(literal 1 binary64)) |
| 1.0ms | (exp.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.0% | 1 | (exp.f64 x) |
| 98.0% | 1 | (-.f64 (exp.f64 x) #s(literal 1 binary64)) |
| 98.0% | 1 | x |
Compiled 7 to 7 computations (0% saved)
| 1× | done |
Compiled 6 to 6 computations (0% saved)
Compiled 12 to 12 computations (0% saved)
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