Details

sample16.0ms

Algorithm

intervals

Results

5.0ms	256×	body	80	valid
1.0ms	92×	body	80	nan

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	6	3
1	6	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.1b

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x x) y)
22.5b	(sqrt (+ (* x x) y))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 26

Calls

2 calls:

8.0ms	(+ (* x x) y)
10.0ms	(sqrt (+ (* x x) y))

series65.0ms

Counts

2 → 6

Calls

2 calls:

20.0ms	(+ (* x x) y)
45.0ms	(sqrt (+ (* x x) y))

simplify48.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 3 (45.0ms)

Iter	Nodes	Cost
0	141	152
1	475	139
2	1515	138
3	5002	136

prune75.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (cbrt (+ (* x x) y)))
0.3b	(* (fabs (cbrt (+ (* x x) y))) (sqrt (cbrt (+ (* x x) y))))
23.3b	(cbrt (+ (* x x) y))
23.3b	(cbrt (+ (* x x) y))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
14×	`cbrt-prod` `sqrt-prod`
12×	`add-cube-cbrt` `*-un-lft-identity`
9×	`associate-r`
8×	`cbrt-div`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube`
4×	`flip3-+` `sqrt-div` `flip-+` `add-log-exp`
3×	`pow1/3` `associate-l` `unswap-sqr`
2×	`rem-sqrt-square` `sqrt-pow1` `associate-*r/`
1×	`pow1/2` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 74

Calls

4 calls:

13.0ms	(sqrt (cbrt (+ (* x x) y)))
30.0ms	(* (fabs (cbrt (+ (* x x) y))) (sqrt (cbrt (+ (* x x) y))))
6.0ms	(cbrt (+ (* x x) y))
6.0ms	(cbrt (+ (* x x) y))

series341.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(sqrt (cbrt (+ (* x x) y)))
101.0ms	(* (fabs (cbrt (+ (* x x) y))) (sqrt (cbrt (+ (* x x) y))))
82.0ms	(cbrt (+ (* x x) y))
76.0ms	(cbrt (+ (* x x) y))

simplify89.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 3 (82.0ms)

Iter	Nodes	Cost
0	256	708
1	896	665
2	3480	658
3	5001	651

prune241.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize5.0ms

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

prune2.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize5.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify3.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune0.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes138.0ms

Accuracy

98.6% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 21.1b

bsearch44.0ms

Steps

Iters	Range		Point
9	2.0122795930302086e+79	3.483920413599583e+85	2.116552450926022e+82
8	-3.0531007138206273e+154	-5.179937710699564e+150	-1.2984750038741e+154

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	10
1	29	10
2	31	10
3	31	10

end0.0ms

sample405.0ms

Algorithm

intervals

Results

133.0ms	8000×	body	80	valid
48.0ms	2742×	body	80	nan