Details

sample67.0ms

Algorithm

intervals

Results

23.0ms	502×	body	80	nan
17.0ms	203×	body	160	nan
12.0ms	256×	body	80	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	5
1	11	5
2	11	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.4b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (sqrt (- (* x x) 1.0)))
31.1b	(sqrt (- (* x x) 1.0))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`sqrt-prod` `add-log-exp`
3×	`pow1` `add-cube-cbrt`
2×	`add-exp-log` `sqrt-div` `add-cbrt-cube`
1×	`+-commutative` `rem-sqrt-square` `flip3--` `sqrt-pow1` `flip3-+` `pow1/2` `sum-log` `flip--` `flip-+` `distribute-lft-out` `difference-of-squares`

Counts

2 → 28

Calls

2 calls:

9.0ms	(+ x (sqrt (- (* x x) 1.0)))
5.0ms	(sqrt (- (* x x) 1.0))

series121.0ms

Counts

2 → 6

Calls

2 calls:

66.0ms	(+ x (sqrt (- (* x x) 1.0)))
55.0ms	(sqrt (- (* x x) 1.0))

simplify75.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 3 (72.0ms)

Iter	Nodes	Cost
0	217	221
1	657	211
2	2555	205
3	5002	204

prune86.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(* 0.5 (/ 1 x))
0.7b	(/ 1 (pow x 3))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

47×	`times-frac`
42×	`add-sqr-sqrt`
36×	`*-un-lft-identity`
35×	`add-cube-cbrt`
20×	`add-exp-log`
13×	`associate-r`
12×	`unpow-prod-down` `cube-prod` `associate-/r*`
9×	`add-cbrt-cube`
8×	`div-exp`
4×	`pow1` `cube-mult` `rec-exp` `1-exp` `unpow3` `prod-exp` `sqr-pow`
3×	`pow-to-exp` `associate-l` `pow-exp` `associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `cbrt-unprod` `div-inv` `add-log-exp`
1×	`pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `inv-pow`

Counts

2 → 109

Calls

2 calls:

10.0ms	(* 0.5 (/ 1 x))
5.0ms	(/ 1 (pow x 3))

series47.0ms

Counts

2 → 6

Calls

2 calls:

16.0ms	(* 0.5 (/ 1 x))
31.0ms	(/ 1 (pow x 3))

simplify39.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	318	439
1	1615	322
2	5001	315

prune173.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	9
1	21	9

end0.0ms

sample2.0s

Algorithm

intervals

Results

663.0ms	16160×	body	80	nan
597.0ms	7429×	body	160	nan
391.0ms	8000×	body	80	valid