Details

sample292.0ms

Algorithm

intervals

Results

17.0ms	652×	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))

rewrite18.0ms

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))

series79.0ms

Counts

1 → 3

Calls

1 calls:

79.0ms

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

simplify80.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 2 (19.0ms)

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

prune76.0ms

Pruning

3 alts after pruning (3 fresh and 0 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

prune4.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite30.0ms

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:

2.0ms	(cbrt (- x 1.0))
2.0ms	(cbrt (- x 1.0))
2.0ms	(cbrt (- x 1.0))
20.0ms	(* (cbrt (- x 1.0)) (cbrt (- x 1.0)))

series409.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(cbrt (- x 1.0))
94.0ms	(cbrt (- x 1.0))
95.0ms	(cbrt (- x 1.0))
125.0ms	(* (cbrt (- x 1.0)) (cbrt (- x 1.0)))

simplify45.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	384	861
1	1312	823
2	5001	757

prune328.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 1 expressions with local error:

30.2b

(pow (* (- x 1.0) x) 1/2)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log`
3×	`pow-unpow`
2×	`add-sqr-sqrt` `add-cube-cbrt` `pow-pow` `*-un-lft-identity` `pow-exp`
1×	`expm1-log1p-u` `pow-to-exp` `unpow-prod-down` `pow-prod-down` `prod-exp` `add-cbrt-cube` `log1p-expm1-u` `unpow1/2` `add-log-exp` `sqr-pow`

Counts

1 → 20

Calls

1 calls:

5.0ms

(pow (* (- x 1.0) x) 1/2)

series95.0ms

Counts

1 → 3

Calls

1 calls:

95.0ms

(pow (* (- x 1.0) x) 1/2)

simplify90.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 3 (87.0ms)

Iter	Nodes	Cost
0	154	125
1	506	113
2	2594	100
3	5001	99

prune41.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes15.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	3
1	9	3

end0.0ms

sample1.1s

Algorithm

intervals

Results

576.0ms	23913×	body	80	nan
153.0ms	7992×	body	80	valid
0.0ms	8×	body	160	valid