Time bar (total: 3.8s)
| 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 | 4055× | body | 1024 | valid |
| 712.0ms | 2041× | body | 512 | valid |
| 358.0ms | 1727× | body | 256 | valid |
| 239.0ms | 433× | body | 2048 | valid |
| 1.0ms | 9× | body | 256 | infinite |
| 2× | egg-herbie |
| 618× | fma-neg_binary64 |
| 579× | fma-def_binary64 |
| 523× | cancel-sign-sub-inv_binary64 |
| 509× | associate-/l*_binary64 |
| 425× | times-frac_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 13 |
| 1 | 19 | 13 |
| 2 | 34 | 13 |
| 3 | 58 | 13 |
| 4 | 120 | 13 |
| 5 | 260 | 13 |
| 6 | 715 | 13 |
| 7 | 2155 | 13 |
| 8 | 5003 | 12 |
| 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) |
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x))) |
Compiled 10 to 8 computations (20% saved)
| 1× | egg-herbie |
| 618× | fma-neg_binary64 |
| 579× | fma-def_binary64 |
| 523× | cancel-sign-sub-inv_binary64 |
| 509× | associate-/l*_binary64 |
| 425× | times-frac_binary64 |
Useful iterations: 8 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 13 |
| 1 | 19 | 13 |
| 2 | 34 | 13 |
| 3 | 58 | 13 |
| 4 | 120 | 13 |
| 5 | 260 | 13 |
| 6 | 715 | 13 |
| 7 | 2155 | 13 |
| 8 | 5003 | 12 |
| 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) |
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x))) |
Compiled 17 to 11 computations (35.3% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 1 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 1 | 2 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 58.1b | (/.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 |
|---|---|---|
| ✓ | 6.3b | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
Compiled 24 to 8 computations (66.7% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | 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 |
| 70× | add-sqr-sqrt_binary64 |
| 67× | add-log-exp_binary64 |
| 66× | *-un-lft-identity_binary64 |
| 66× | pow1_binary64 |
| 65× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 6 |
| 1 | 130 | 6 |
| 2 | 2188 | 6 |
| 0 | 6 | 6 |
| 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 (*.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 (sqrt.f64 (*.f64 2 (sinh.f64 x))) (sqrt.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 (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 /.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 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 log1p.f64 (expm1.f64 (*.f64 2 (sinh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2 (sinh.f64 x)))))))) |
| 1× | egg-herbie |
| 700× | fma-def_binary64 |
| 676× | unswap-sqr_binary64 |
| 322× | associate-*l*_binary64 |
| 309× | associate-*l/_binary64 |
| 268× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 98 |
| 1 | 68 | 98 |
| 2 | 151 | 98 |
| 3 | 391 | 98 |
| 4 | 739 | 98 |
| 5 | 1651 | 98 |
| 6 | 2555 | 98 |
| 7 | 4148 | 98 |
| 8 | 7098 | 98 |
| 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))) |
| Outputs |
|---|
(*.f64 2 x) |
(+.f64 (*.f64 2 x) (*.f64 1/3 (pow.f64 x 3))) |
(fma.f64 2 x (*.f64 1/3 (pow.f64 x 3))) |
(*.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 x (fma.f64 x (*.f64 x 1/3) 2) (*.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))))) |
(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)))) |
(fma.f64 2 x (fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.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 (exp.f64 x) (exp.f64 (*.f64 -1 x))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
Compiled 286 to 189 computations (33.9% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 20 | 2 | 22 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 21 | 2 | 23 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.0b | (/.f64 (*.f64 2 (sinh.f64 x)) 2) |
| ▶ | 1.2b | (/.f64 (*.f64 2 x) 2) |
Compiled 13 to 11 computations (15.4% saved)
Compiled 11 to 8 computations (27.3% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (sinh.f64 x) |
Compiled 15 to 9 computations (40% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (sinh.f64 x) |
| 1.0ms | x | @ | -inf | (sinh.f64 x) |
| 1.0ms | x | @ | 0 | (sinh.f64 x) |
| 1× | egg-rewrite-iter-limit |
| 1× | batch-egg-rewrite |
| 318× | pow1_binary64 |
| 311× | add-sqr-sqrt_binary64 |
| 302× | *-un-lft-identity_binary64 |
| 297× | add-log-exp_binary64 |
| 296× | log1p-expm1-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 3 | 3 |
| 1 | 63 | 3 |
| 2 | 785 | 3 |
| 0 | 3 | 3 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(sinh.f64 x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sinh.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sinh.f64 x)) (cbrt.f64 (sinh.f64 x))) (cbrt.f64 (sinh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sinh.f64 x)) (sqrt.f64 (sinh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sinh.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sinh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (sinh.f64 x) (sinh.f64 x)) (sinh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sinh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sinh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sinh.f64 x))))))) |
| 1× | egg-herbie |
| 878× | fma-def_binary64 |
| 626× | distribute-rgt-neg-in_binary64 |
| 624× | unswap-sqr_binary64 |
| 560× | distribute-lft-neg-in_binary64 |
| 308× | associate-*l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 150 |
| 1 | 67 | 150 |
| 2 | 151 | 142 |
| 3 | 370 | 142 |
| 4 | 684 | 142 |
| 5 | 1506 | 142 |
| 6 | 2337 | 142 |
| 7 | 3591 | 142 |
| 8 | 4578 | 142 |
| 9 | 7248 | 142 |
| 1× | node limit |
| Inputs |
|---|
x |
(+.f64 (*.f64 1/6 (pow.f64 x 3)) x) |
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x)) |
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x))) |
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))) |
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))) |
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))) |
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))) |
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))) |
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))) |
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))) |
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))) |
| Outputs |
|---|
x |
(+.f64 (*.f64 1/6 (pow.f64 x 3)) x) |
(fma.f64 1/6 (pow.f64 x 3) x) |
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x)) |
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/120 (pow.f64 x 5) x)) |
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x))) |
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/5040 (pow.f64 x 7) (fma.f64 1/120 (pow.f64 x 5) x))) |
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/120 (pow.f64 x 5) (fma.f64 1/5040 (pow.f64 x 7) x))) |
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))) |
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x))) |
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))) |
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x))) |
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))) |
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x))) |
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))) |
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x))) |
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))) |
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x))) |
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))) |
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x))) |
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))) |
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x))) |
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))) |
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x))) |
Compiled 226 to 167 computations (26.1% saved)
2 alts after pruning (0 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 19 | 0 | 19 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 19 | 2 | 21 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (*.f64 2 (sinh.f64 x)) 2) |
| ✓ | 1.2b | (/.f64 (*.f64 2 x) 2) |
Compiled 13 to 11 computations (15.4% saved)
Total -59.3b remaining (-1517273.6%)
Threshold costs -59.3b (-1517273.6%)
| Inputs |
|---|
(/.f64 (*.f64 2 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 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 2.0ms | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | x |
| 0.0b | 1 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) |
| 0.0b | 1 | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
Compiled 38 to 29 computations (23.7% saved)
| 1× | egg-herbie |
| 2× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 16 |
| 1 | 10 | 16 |
| 1× | done |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (*.f64 2 (sinh.f64 x)) 2) |
(/.f64 (*.f64 2 x) 2) |
| Outputs |
|---|
(/.f64 (*.f64 2 (sinh.f64 x)) 2) |
(/.f64 (*.f64 2 x) 2) |
Compiled 13 to 11 computations (15.4% saved)
Compiled 12 to 10 computations (16.7% saved)
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