Details

sample16.0ms

Algorithm

intervals

Results

4.0ms	256×	body	80	valid
2.0ms	105×	body	80	nan

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	3
1	6	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.3b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x x) y)
18.9b	(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)
9.0ms	(sqrt (+ (* x x) y))

series55.0ms

Counts

2 → 6

Calls

2 calls:

17.0ms	(+ (* x x) y)
37.0ms	(sqrt (+ (* x x) y))

simplify52.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 3 (46.0ms)

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

prune66.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(* 1/2 (/ y x))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
13×	`associate-r`
10×	`times-frac`
9×	`add-cube-cbrt` `*-un-lft-identity`
6×	`add-exp-log` `add-cbrt-cube`
3×	`pow1` `associate-l`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `associate-r/` `div-exp` `pow-prod-down` `-commutative` `div-inv` `add-log-exp`

Counts

1 → 32

Calls

1 calls:

14.0ms

(* 1/2 (/ y x))

series16.0ms

Counts

1 → 3

Calls

1 calls:

16.0ms

(* 1/2 (/ y x))

simplify65.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	164	128
1	727	118
2	2966	118
3	5001	118

prune55.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(* 1/2 (/ y x))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
13×	`associate-r`
10×	`times-frac`
9×	`add-cube-cbrt` `*-un-lft-identity`
6×	`add-exp-log` `add-cbrt-cube`
3×	`pow1` `associate-l`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `associate-r/` `div-exp` `pow-prod-down` `-commutative` `div-inv` `add-log-exp`

Counts

1 → 32

Calls

1 calls:

16.0ms

(* 1/2 (/ y x))

series16.0ms

Counts

1 → 3

Calls

1 calls:

16.0ms

(* 1/2 (/ y x))

simplify63.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	164	128
1	727	118
2	2966	118
3	5001	118

prune51.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes109.0ms

Accuracy

99.5% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 21.8b

bsearch40.0ms

Steps

Iters	Range		Point
8	5.629890435159712e+111	1.956481837149015e+114	1.9196854999434373e+112
9	-2.8326233936064107e+155	-8.812331663826774e+145	-1.3242139733203184e+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

sample415.0ms

Algorithm

intervals

Results

140.0ms	8000×	body	80	valid
48.0ms	2622×	body	80	nan