Details

sample19.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
2.0ms	69×	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: 20.8b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x x) y)
19.4b	(sqrt (+ (* x x) y))

rewrite8.0ms

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:

3.0ms	(+ (* x x) y)
5.0ms	(sqrt (+ (* x x) y))

series67.0ms

Counts

2 → 6

Calls

2 calls:

19.0ms	(+ (* x x) y)
47.0ms	(sqrt (+ (* x x) y))

simplify53.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 3 (50.0ms)

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

prune73.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 4 expressions with local error:

0.2b	(sqrt (cbrt (+ (* x x) y)))
0.3b	(* (fabs (cbrt (+ (* x x) y))) (sqrt (cbrt (+ (* x x) y))))
20.2b	(cbrt (+ (* x x) y))
20.2b	(cbrt (+ (* x x) y))

rewrite30.0ms

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:

5.0ms	(sqrt (cbrt (+ (* x x) y)))
17.0ms	(* (fabs (cbrt (+ (* x x) y))) (sqrt (cbrt (+ (* x x) y))))
3.0ms	(cbrt (+ (* x x) y))
3.0ms	(cbrt (+ (* x x) y))

series330.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(sqrt (cbrt (+ (* x x) y)))
96.0ms	(* (fabs (cbrt (+ (* x x) y))) (sqrt (cbrt (+ (* x x) y))))
73.0ms	(cbrt (+ (* x x) y))
79.0ms	(cbrt (+ (* x x) y))

simplify95.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 3 (87.0ms)

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

prune243.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

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

prune2.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.1b

localize10.0ms

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: 0.1b

regimes143.0ms

Accuracy

98% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 21.4b

bsearch55.0ms

Steps

Iters	Range		Point
7	1.1608947055862536e+73	1.608126041204279e+75	1.3368870698333188e+74
10	-1.0086918763639924e+156	-1.3734446941131454e+138	-1.3473850118088864e+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

sample523.0ms

Algorithm

intervals

Results

271.0ms	8000×	body	80	valid
83.0ms	2539×	body	80	nan