
Time bar (total: 1.2s)
| 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)
| 371.0ms | 8 256× | 0 | valid |
ival-exp: 142.0ms (59.1% of total)ival-expm1: 53.0ms (22.1% of total)ival-div!: 43.0ms (17.9% of total)adjust: 2.0ms (0.8% of total)Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 26 |
| 1 | 43 | 25 |
| 2 | 176 | 25 |
| 3 | 894 | 19 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 39.4% | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
Compiled 12 to 10 computations (16.7% 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 (+ 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 | 62 | 203 |
| 0 | 67 | 203 |
| 1 | 443 | 203 |
| 2 | 2990 | 203 |
| 1× | iter-limit |
| 1× | unsound |
| 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 (+ 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 (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) #s(literal 1 binary64)) |
#s(approx x x) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))) |
#s(approx (exp x) (exp.f64 x)) |
#s(approx (- (exp x) 1) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
Compiled 39 to 22 computations (43.6% saved)
2 alts after pruning (1 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 4 | 1 | 5 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 4 | 2 | 6 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 39.4% | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| ▶ | 2.3% | (/.f64 #s(approx (exp x) #s(literal 1 binary64)) (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64))) |
Compiled 14 to 11 computations (21.4% saved)
| Inputs |
|---|
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64))) |
#s(approx (exp x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(-.f64 #s(approx (exp 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 (- (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 | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | ((/ (exp x) (- (exp x) 1)) (exp x) 1 (- (exp x) 1)) |
| 0.0ms | x | @ | inf | ((/ (exp x) (- (exp x) 1)) (exp x) 1 (- (exp x) 1)) |
| 0.0ms | x | @ | 0 | ((/ (exp x) (- (exp x) 1)) (exp x) 1 (- (exp x) 1)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 213 |
| 0 | 63 | 213 |
| 1 | 460 | 213 |
| 2 | 3092 | 213 |
| 1× | iter-limit |
| 1× | unsound |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64))) |
#s(approx (exp x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(-.f64 #s(approx (exp 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 (- (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 #s(approx (exp x) #s(literal 1 binary64)) (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64))) |
#s(approx (exp x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
#s(approx (exp x) #s(literal 1 binary64)) |
#s(approx (- (exp x) 1) x) |
Compiled 9 to 8 computations (11.1% saved)
2 alts after pruning (1 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 1 | 1 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 1 | 2 | 3 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 39.4% | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| ▶ | 64.5% | (/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) x)) |
Compiled 15 to 13 computations (13.3% saved)
| Inputs |
|---|
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) x)) |
#s(approx (exp x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (- (exp x) 1) 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 (- (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 | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | ((/ (exp x) (- (exp x) 1)) (exp x) 1 (- (exp x) 1) x) |
| 0.0ms | x | @ | inf | ((/ (exp x) (- (exp x) 1)) (exp x) 1 (- (exp x) 1) x) |
| 0.0ms | x | @ | 0 | ((/ (exp x) (- (exp x) 1)) (exp x) 1 (- (exp x) 1) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 214 |
| 0 | 61 | 214 |
| 1 | 444 | 214 |
| 2 | 3009 | 214 |
| 1× | iter-limit |
| 1× | unsound |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) x)) |
#s(approx (exp x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (- (exp x) 1) 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 (- (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 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) x)) |
#s(approx (exp x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (- (exp x) 1) x) |
x |
#s(approx (exp x) #s(literal 1 binary64)) |
#s(approx (- (exp x) 1) x) |
Compiled 0 to 1 computations (-∞% saved)
2 alts after pruning (0 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 0 | 2 | 2 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 39.4% | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| ✓ | 64.5% | (/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) x)) |
Compiled 32 to 26 computations (18.8% saved)
| Inputs |
|---|
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) x)) |
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| Outputs |
|---|
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) x)) |
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 |
|---|---|---|
| 99.3% | 2 | (exp.f64 x) |
| 99.4% | 2 | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 99.3% | 2 | x |
Compiled 9 to 8 computations (11.1% saved)
Total -39.8b remaining (-175.1%)
Threshold costs -39.8b (-175.1%)
| Inputs |
|---|
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) x)) |
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) (-.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64))) |
| Outputs |
|---|
(/.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (- (exp x) 1) x)) |
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 |
|---|---|---|
| 64.5% | 1 | (exp.f64 x) |
| 64.5% | 1 | x |
| 64.5% | 1 | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
Compiled 9 to 8 computations (11.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 506471.68562088074 | +inf |
Compiled 9 to 9 computations (0% saved)
| 1× | done |
Compiled 16 to 14 computations (12.5% saved)
Compiled 28 to 25 computations (10.7% saved)
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