Details

sample15.0ms

Algorithm

intervals

Results

5.0ms	256×	body	80	valid
2.0ms	98×	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

localize4.0ms

Local error

Found 2 expressions with local error:

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

rewrite7.0ms

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)
4.0ms	(sqrt (+ (* x x) y))

series66.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify51.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 3 (47.0ms)

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

prune68.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`associate-r`
10×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `add-log-exp`
3×	`associate-l`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `associate-r/` `div-exp` `pow-prod-down` `sum-log` `-commutative` `flip-+` `div-inv`

Counts

2 → 43

Calls

2 calls:

5.0ms	(+ x (* 1/2 (/ y x)))
7.0ms	(* 1/2 (/ y x))

series40.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(+ x (* 1/2 (/ y x)))
18.0ms	(* 1/2 (/ y x))

simplify101.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	223	199
1	960	187
2	4238	187
3	5001	187

prune78.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`associate-r`
10×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `add-log-exp`
3×	`associate-l`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `associate-r/` `div-exp` `pow-prod-down` `sum-log` `-commutative` `flip-+` `div-inv`

Counts

2 → 43

Calls

2 calls:

2.0ms	(+ x (* 1/2 (/ y x)))
7.0ms	(* 1/2 (/ y x))

series39.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(+ x (* 1/2 (/ y x)))
17.0ms	(* 1/2 (/ y x))

simplify107.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	223	199
1	960	187
2	4238	187
3	5001	187

prune79.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes102.0ms

Accuracy

99% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 21.7b

bsearch49.0ms

Steps

Iters	Range		Point
9	2.443103614302821e+87	1.3006782908792091e+94	1.2824828758844473e+94
9	-3.610603870950113e+157	-4.58245578041268e+148	-1.3302483288514575e+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

sample402.0ms

Algorithm

intervals

Results

169.0ms	8000×	body	80	valid
55.0ms	2694×	body	80	nan