Details

sample288.0ms

Algorithm

intervals

Results

21.0ms	869×	body	80	nan
5.0ms	256×	body	80	valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	4
1	10	4
2	10	4

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize7.0ms

Local error

Found 1 expressions with local error:

0.5b	(* (sqrt (- x 1.0)) (sqrt x))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
12×	`sqrt-prod`
8×	`associate-l`
7×	`*-un-lft-identity`
6×	`associate-r`
5×	`pow1` `add-cube-cbrt`
4×	`unswap-sqr`
3×	`add-exp-log` `pow-prod-down` `add-cbrt-cube`
2×	`sqrt-pow1` `pow1/2` `sqrt-div` `associate-*l/`
1×	`expm1-log1p-u` `flip3--` `sqrt-unprod` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

1 → 36

Calls

1 calls:

16.0ms

(* (sqrt (- x 1.0)) (sqrt x))

series82.0ms

Counts

1 → 3

Calls

1 calls:

81.0ms

(* (sqrt (- x 1.0)) (sqrt x))

simplify76.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	188	226
1	635	215
2	2636	210
3	5002	210

prune75.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune3.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- x 1.0)) (cbrt (- x 1.0)))
0.5b	(cbrt (- x 1.0))
0.5b	(cbrt (- x 1.0))
0.5b	(cbrt (- x 1.0))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 109

Calls

4 calls:

21.0ms	(* (cbrt (- x 1.0)) (cbrt (- x 1.0)))
2.0ms	(cbrt (- x 1.0))
2.0ms	(cbrt (- x 1.0))
3.0ms	(cbrt (- x 1.0))

series417.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(* (cbrt (- x 1.0)) (cbrt (- x 1.0)))
97.0ms	(cbrt (- x 1.0))
100.0ms	(cbrt (- x 1.0))
102.0ms	(cbrt (- x 1.0))

simplify47.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	384	861
1	1305	823
2	5001	757

prune333.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes37.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	4
1	7	4

end0.0ms

sample1.0s

Algorithm

intervals

Results

556.0ms	23250×	body	80	nan
156.0ms	7990×	body	80	valid
0.0ms	10×	body	160	valid