Time bar (total: 3.6s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 25% | 75% | 0% | 0% | 0% | 0 |
| 100% | 25% | 0% | 75% | 0% | 0% | 0% | 1 |
Compiled 6 to 4 computations (33.3% saved)
| 1.1s | 8256× | body | 256 | valid |
| 2× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 5 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(acosh.f64 x) |
| Outputs |
|---|
(acosh.f64 x) |
Compiled 11 to 8 computations (27.3% saved)
| 1× | egg-herbie |
| 1814× | rational.json-simplify-35 |
| 1350× | rational.json-simplify-53 |
| 1016× | rational.json-simplify-39 |
| 864× | rational.json-simplify-59 |
| 750× | rational.json-simplify-1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 27 |
| 1 | 14 | 27 |
| 2 | 19 | 27 |
| 3 | 37 | 27 |
| 4 | 185 | 27 |
| 5 | 1957 | 27 |
| 6 | 5904 | 27 |
| 7 | 7843 | 27 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))) |
| Outputs |
|---|
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))) |
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) |
Compiled 19 to 12 computations (36.8% 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 |
|---|---|---|
| ▶ | 33.0b | (log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))) |
Compiled 10 to 7 computations (30% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 30.7b | (sqrt.f64 (-.f64 (*.f64 x x) 1)) |
Compiled 34 to 17 computations (50% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (sqrt.f64 (-.f64 (*.f64 x x) 1)) |
| 0.0ms | x | @ | inf | (sqrt.f64 (-.f64 (*.f64 x x) 1)) |
| 0.0ms | x | @ | -inf | (sqrt.f64 (-.f64 (*.f64 x x) 1)) |
| 1× | batch-egg-rewrite |
| 1658× | bool.json-1 |
| 1658× | bool.json-2 |
| 1630× | rational.json-1 |
| 1630× | rational.json-2 |
| 1270× | bool.json-3 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 17 |
| 1 | 87 | 17 |
| 2 | 264 | 17 |
| 3 | 574 | 17 |
| 4 | 1751 | 17 |
| 5 | 5536 | 17 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (-.f64 (*.f64 x x) 1)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (+.f64 (*.f64 x x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 (*.f64 x x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 4)) (*.f64 2 (*.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (sqrt.f64 (+.f64 (*.f64 x x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x and (sqrt.f64 (+.f64 (*.f64 x x) -1)) (sqrt.f64 (+.f64 (*.f64 x x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x or (sqrt.f64 (+.f64 (*.f64 x x) -1)) (sqrt.f64 (+.f64 (*.f64 x x) -1))))))) |
| 1× | egg-herbie |
| 1528× | rational.json-simplify-19 |
| 1060× | rational.json-simplify-59 |
| 1008× | rational.json-simplify-1 |
| 950× | rational.json-simplify-2 |
| 648× | rational.json-simplify-41 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 77 | 728 |
| 1 | 152 | 720 |
| 2 | 275 | 720 |
| 3 | 554 | 720 |
| 4 | 1215 | 720 |
| 5 | 3849 | 720 |
| 6 | 5919 | 720 |
| 7 | 7123 | 720 |
| 8 | 7951 | 720 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 -1) |
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (*.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)))))) |
x |
(-.f64 x (*.f64 1/2 (/.f64 1 x))) |
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))) |
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))) |
(*.f64 -1 x) |
(+.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x))) |
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x)))) |
(+.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 0) |
(+.f64 0 (sqrt.f64 (+.f64 (*.f64 x x) -1))) |
(-.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 0) |
(*.f64 1 (sqrt.f64 (+.f64 (*.f64 x x) -1))) |
(*.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 1) |
(*.f64 2 (/.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 2)) |
(*.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 2) 1/2) |
(*.f64 1/2 (*.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 2)) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 2) 2) |
(/.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 1) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 2) 2) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 4) 4) |
(/.f64 (*.f64 2 (*.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 4)) 8) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 4)) (*.f64 2 (*.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 4))) 16) |
| Outputs |
|---|
(sqrt.f64 -1) |
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))) |
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))))) |
(+.f64 (+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (*.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)))))) |
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (*.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)))))) |
(+.f64 (+.f64 (sqrt.f64 -1) (*.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))))) |
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (*.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)))))) |
x |
(-.f64 x (*.f64 1/2 (/.f64 1 x))) |
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))) |
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))) |
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/16 (/.f64 1 (pow.f64 x 5)))))) |
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 -1 x)) |
(+.f64 (*.f64 1/2 (/.f64 1 x)) (neg.f64 x)) |
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x))) |
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (neg.f64 x))) |
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x)))) |
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 -1 x) (*.f64 1/16 (/.f64 1 (pow.f64 x 5)))))) |
(+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (neg.f64 x)) (*.f64 1/16 (/.f64 1 (pow.f64 x 5))))) |
(+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (neg.f64 x)))) |
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (neg.f64 x)))) |
(+.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 0) |
(sqrt.f64 (+.f64 -1 (*.f64 x x))) |
(+.f64 0 (sqrt.f64 (+.f64 (*.f64 x x) -1))) |
(sqrt.f64 (+.f64 -1 (*.f64 x x))) |
(-.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 0) |
(sqrt.f64 (+.f64 -1 (*.f64 x x))) |
(*.f64 1 (sqrt.f64 (+.f64 (*.f64 x x) -1))) |
(sqrt.f64 (+.f64 -1 (*.f64 x x))) |
(*.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 1) |
(sqrt.f64 (+.f64 -1 (*.f64 x x))) |
(*.f64 2 (/.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 2)) |
(sqrt.f64 (+.f64 -1 (*.f64 x x))) |
(*.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 2) 1/2) |
(sqrt.f64 (+.f64 -1 (*.f64 x x))) |
(*.f64 1/2 (*.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 2)) |
(sqrt.f64 (+.f64 -1 (*.f64 x x))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 2) 2) |
(sqrt.f64 (+.f64 -1 (*.f64 x x))) |
(/.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 1) |
(sqrt.f64 (+.f64 -1 (*.f64 x x))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 2) 2) |
(sqrt.f64 (+.f64 -1 (*.f64 x x))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 4) 4) |
(sqrt.f64 (+.f64 -1 (*.f64 x x))) |
(/.f64 (*.f64 2 (*.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 4)) 8) |
(sqrt.f64 (+.f64 -1 (*.f64 x x))) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 4)) (*.f64 2 (*.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 4))) 16) |
(sqrt.f64 (+.f64 -1 (*.f64 x x))) |
Compiled 739 to 579 computations (21.7% saved)
3 alts after pruning (2 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 39 | 2 | 41 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 39 | 3 | 42 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.1b | (log.f64 (+.f64 x (-.f64 x (*.f64 1/2 (/.f64 1 x))))) |
| ✓ | 33.0b | (log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))) |
| ▶ | 0.3b | (log.f64 (+.f64 x x)) |
Compiled 26 to 18 computations (30.8% saved)
Compiled 9 to 3 computations (66.7% saved)
Compiled 38 to 27 computations (28.9% saved)
Compiled 1 to 1 computations (0% saved)
3 alts after pruning (0 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 0 | 3 | 3 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.1b | (log.f64 (+.f64 x (-.f64 x (*.f64 1/2 (/.f64 1 x))))) |
| ✓ | 33.0b | (log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))) |
| ✓ | 0.3b | (log.f64 (+.f64 x x)) |
Compiled 26 to 18 computations (30.8% saved)
Total -33.2b remaining (-36467.5%)
Threshold costs -33.2b (-36467.5%)
| Inputs |
|---|
(log.f64 (+.f64 x x)) |
(log.f64 (+.f64 x (-.f64 x (*.f64 1/2 (/.f64 1 x))))) |
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))) |
| Outputs |
|---|
(log.f64 (+.f64 x (-.f64 x (*.f64 1/2 (/.f64 1 x))))) |
3 calls:
| 68.0ms | (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))) |
| 3.0ms | x |
| 3.0ms | (log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))) |
| Error | Segments | Branch |
|---|---|---|
| 0.1b | 1 | x |
| 0.1b | 1 | (log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))) |
| 0.1b | 1 | (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))) |
Compiled 45 to 30 computations (33.3% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 40 |
| 1× | done |
| 1× | saturated |
| Inputs |
|---|
(log.f64 (+.f64 x (-.f64 x (*.f64 1/2 (/.f64 1 x))))) |
(log.f64 (+.f64 x x)) |
| Outputs |
|---|
(log.f64 (+.f64 x (-.f64 x (*.f64 1/2 (/.f64 1 x))))) |
(log.f64 (+.f64 x x)) |
Compiled 16 to 11 computations (31.3% saved)
Compiled 15 to 10 computations (33.3% saved)
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