Time bar (total: 3.2s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 2 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 3 |
| 66.7% | 50% | 25% | 0% | 25% | 0% | 0% | 4 |
| 80% | 50% | 12.5% | 0% | 37.5% | 0% | 0% | 5 |
| 88.9% | 50% | 6.2% | 0% | 43.7% | 0% | 0% | 6 |
| 94.1% | 50% | 3.1% | 0% | 46.9% | 0% | 0% | 7 |
| 97% | 50% | 1.6% | 0% | 48.4% | 0% | 0% | 8 |
| 98.5% | 50% | 0.8% | 0% | 49.2% | 0% | 0% | 9 |
| 99.2% | 50.4% | 0.4% | 0% | 49.2% | 0% | 0% | 10 |
| 99.6% | 50.4% | 0.2% | 0% | 49.4% | 0% | 0% | 11 |
| 99.8% | 50.4% | 0.1% | 0% | 49.5% | 0% | 0% | 12 |
Compiled 10 to 8 computations (20% saved)
| 1.9s | 4045× | body | 1024 | valid |
| 524.0ms | 2085× | body | 512 | valid |
| 198.0ms | 424× | body | 2048 | valid |
| 169.0ms | 1702× | body | 256 | valid |
| 1.0ms | 6× | body | 256 | infinite |
| 2× | egg-herbie |
| 1318× | associate-/l* |
| 988× | distribute-lft-in |
| 978× | distribute-rgt-in |
| 836× | distribute-lft-neg-in |
| 810× | associate-*r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 25 |
| 1 | 21 | 25 |
| 2 | 35 | 25 |
| 3 | 60 | 25 |
| 4 | 117 | 25 |
| 5 | 268 | 25 |
| 6 | 745 | 25 |
| 7 | 2173 | 25 |
| 8 | 4843 | 25 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) |
| Outputs |
|---|
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) |
(*.f64 -1/2 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) -1/2) |
Compiled 10 to 8 computations (20% saved)
| 1× | egg-herbie |
| 1318× | associate-/l* |
| 988× | distribute-lft-in |
| 978× | distribute-rgt-in |
| 836× | distribute-lft-neg-in |
| 810× | associate-*r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 25 |
| 1 | 21 | 25 |
| 2 | 35 | 25 |
| 3 | 60 | 25 |
| 4 | 117 | 25 |
| 5 | 268 | 25 |
| 6 | 745 | 25 |
| 7 | 2173 | 25 |
| 8 | 4843 | 25 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) |
| Outputs |
|---|
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) |
(*.f64 -1/2 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) -1/2) |
Compiled 25 to 12 computations (52% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 | 1 | 3 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 2 | 2 | 4 |
| Status | Error | Program |
|---|---|---|
| ▶ | 89.72% | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) |
Compiled 9 to 7 computations (22.2% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 6.41% | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
Compiled 24 to 8 computations (66.7% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 0.0ms | x | @ | -inf | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 0.0ms | x | @ | inf | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 1× | egg-rewrite-iter-limit |
| 1× | batch-egg-rewrite |
| 180× | add-sqr-sqrt |
| 172× | pow1 |
| 172× | *-un-lft-identity |
| 170× | add-exp-log |
| 168× | add-log-exp |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 11 |
| 1 | 170 | 11 |
| 2 | 2644 | 11 |
| 0 | 8 | 11 |
| 1× | iter limit |
| 1× | unsound |
| Inputs |
|---|
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 x) (neg.f64 (exp.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 2 (sinh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) (sqrt.f64 (*.f64 2 (sinh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) (cbrt.f64 (*.f64 2 (sinh.f64 x)))) (cbrt.f64 (*.f64 2 (sinh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (sinh.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (+.f64 (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (*.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (sinh.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 2 (sinh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (*.f64 2 (sinh.f64 x)) (*.f64 2 (sinh.f64 x))) (*.f64 2 (sinh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2 (sinh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2 (sinh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2 (sinh.f64 x)))))))) |
| 1× | egg-herbie |
| 898× | associate-*r/ |
| 804× | fma-def |
| 778× | *-commutative |
| 712× | associate-*r* |
| 658× | associate-*l/ |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 66 | 501 |
| 1 | 179 | 485 |
| 2 | 576 | 481 |
| 3 | 2145 | 353 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 2 x) |
(+.f64 (*.f64 2 x) (*.f64 1/3 (pow.f64 x 3))) |
(+.f64 (*.f64 2 x) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5)))) |
(+.f64 (*.f64 2 x) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 1/2520 (pow.f64 x 7)) (*.f64 1/60 (pow.f64 x 5))))) |
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) |
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) |
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) |
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) |
(+.f64 (exp.f64 x) (neg.f64 (exp.f64 (neg.f64 x)))) |
(*.f64 1 (*.f64 2 (sinh.f64 x))) |
(*.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) (sqrt.f64 (*.f64 2 (sinh.f64 x)))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) (cbrt.f64 (*.f64 2 (sinh.f64 x)))) (cbrt.f64 (*.f64 2 (sinh.f64 x)))) |
(*.f64 2 (sinh.f64 x)) |
(/.f64 (-.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (+.f64 (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (*.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) |
(pow.f64 (*.f64 2 (sinh.f64 x)) 1) |
(log.f64 (exp.f64 (*.f64 2 (sinh.f64 x)))) |
(cbrt.f64 (*.f64 (*.f64 (*.f64 2 (sinh.f64 x)) (*.f64 2 (sinh.f64 x))) (*.f64 2 (sinh.f64 x)))) |
(expm1.f64 (log1p.f64 (*.f64 2 (sinh.f64 x)))) |
(exp.f64 (log.f64 (*.f64 2 (sinh.f64 x)))) |
(log1p.f64 (expm1.f64 (*.f64 2 (sinh.f64 x)))) |
| Outputs |
|---|
(*.f64 2 x) |
(+.f64 x x) |
(+.f64 (*.f64 2 x) (*.f64 1/3 (pow.f64 x 3))) |
(fma.f64 2 x (*.f64 1/3 (pow.f64 x 3))) |
(fma.f64 1/3 (pow.f64 x 3) (+.f64 x x)) |
(*.f64 x (fma.f64 x (*.f64 x 1/3) 2)) |
(+.f64 (*.f64 2 x) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5)))) |
(fma.f64 2 x (fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))) |
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/60 (pow.f64 x 5) (+.f64 x x))) |
(+.f64 (fma.f64 1/60 (pow.f64 x 5) x) (fma.f64 1/3 (pow.f64 x 3) x)) |
(+.f64 (*.f64 2 x) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 1/2520 (pow.f64 x 7)) (*.f64 1/60 (pow.f64 x 5))))) |
(fma.f64 2 x (fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/2520 (pow.f64 x 7) (*.f64 1/60 (pow.f64 x 5))))) |
(fma.f64 2 x (fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/2520 (pow.f64 x 7))))) |
(fma.f64 x (fma.f64 x (*.f64 x 1/3) 2) (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/2520 (pow.f64 x 7)))) |
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(*.f64 2 (sinh.f64 x)) |
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(*.f64 2 (sinh.f64 x)) |
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(*.f64 2 (sinh.f64 x)) |
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(*.f64 2 (sinh.f64 x)) |
(+.f64 (exp.f64 x) (neg.f64 (exp.f64 (neg.f64 x)))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(*.f64 2 (sinh.f64 x)) |
(*.f64 1 (*.f64 2 (sinh.f64 x))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(*.f64 2 (sinh.f64 x)) |
(*.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) (sqrt.f64 (*.f64 2 (sinh.f64 x)))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(*.f64 2 (sinh.f64 x)) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) (cbrt.f64 (*.f64 2 (sinh.f64 x)))) (cbrt.f64 (*.f64 2 (sinh.f64 x)))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(*.f64 2 (sinh.f64 x)) |
(*.f64 2 (sinh.f64 x)) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(/.f64 (-.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(*.f64 2 (sinh.f64 x)) |
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (+.f64 (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (*.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (exp.f64 (+.f64 x x)) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 1 (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x -2))))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 x -3))) (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) -2)))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 x -3))) (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) (pow.f64 (exp.f64 -2) x)))) |
(pow.f64 (*.f64 2 (sinh.f64 x)) 1) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(*.f64 2 (sinh.f64 x)) |
(log.f64 (exp.f64 (*.f64 2 (sinh.f64 x)))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(*.f64 2 (sinh.f64 x)) |
(cbrt.f64 (*.f64 (*.f64 (*.f64 2 (sinh.f64 x)) (*.f64 2 (sinh.f64 x))) (*.f64 2 (sinh.f64 x)))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(*.f64 2 (sinh.f64 x)) |
(expm1.f64 (log1p.f64 (*.f64 2 (sinh.f64 x)))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(*.f64 2 (sinh.f64 x)) |
(exp.f64 (log.f64 (*.f64 2 (sinh.f64 x)))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(*.f64 2 (sinh.f64 x)) |
(log1p.f64 (expm1.f64 (*.f64 2 (sinh.f64 x)))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(*.f64 2 (sinh.f64 x)) |
Compiled 479 to 318 computations (33.6% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 31 | 2 | 33 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 32 | 2 | 34 |
| Status | Error | Program |
|---|---|---|
| ▶ | 2.58% | (/.f64 (+.f64 x x) 2) |
| ▶ | 0% | (/.f64 (*.f64 2 (sinh.f64 x)) 2) |
Compiled 13 to 10 computations (23.1% saved)
Compiled 15 to 9 computations (40% saved)
Compiled 11 to 5 computations (54.5% saved)
Compiled 1 to 1 computations (0% 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 | Error | Program |
|---|---|---|
| ✓ | 2.58% | (/.f64 (+.f64 x x) 2) |
| ✓ | 0% | (/.f64 (*.f64 2 (sinh.f64 x)) 2) |
Compiled 13 to 10 computations (23.1% saved)
Total -58.9b remaining (-∞%)
Threshold costs -58.9b (-∞%)
| Inputs |
|---|
(/.f64 (+.f64 x x) 2) |
(/.f64 (*.f64 2 (sinh.f64 x)) 2) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) |
| Outputs |
|---|
(/.f64 (*.f64 2 (sinh.f64 x)) 2) |
3 calls:
| 3.0ms | x |
| 3.0ms | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) |
| 2.0ms | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| Error | Segments | Branch |
|---|---|---|
| 0% | 1 | x |
| 0% | 1 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) |
| 0% | 1 | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
Compiled 38 to 28 computations (26.3% saved)
| 1× | egg-herbie |
| 2× | *-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 30 |
| 1 | 11 | 30 |
| 1× | done |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (*.f64 2 (sinh.f64 x)) 2) |
(/.f64 (+.f64 x x) 2) |
| Outputs |
|---|
(/.f64 (*.f64 2 (sinh.f64 x)) 2) |
(/.f64 (+.f64 x x) 2) |
Compiled 13 to 10 computations (23.1% saved)
| 1× | egg-herbie |
| 898× | associate-*r/ |
| 804× | fma-def |
| 778× | *-commutative |
| 712× | associate-*r* |
| 658× | associate-*l/ |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 66 | 501 |
| 1 | 179 | 485 |
| 2 | 576 | 481 |
| 3 | 2145 | 353 |
| 1× | node limit |
Compiled 104 to 58 computations (44.2% saved)
Compiled 12 to 9 computations (25% saved)
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