Details

sample17.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
1.0ms	74×	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

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.1b

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x x) y)
23.4b	(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)
4.0ms	(sqrt (+ (* x x) y))

series62.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(+ (* x x) y)
40.0ms	(sqrt (+ (* x x) y))

simplify48.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 3 (45.0ms)

Iter	Nodes	Cost
0	141	153
1	469	139
2	1494	138
3	5001	136

prune70.0ms

Filtered

32 candidates to 25 candidates (78.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 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

prune4.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x x) y)
7.3b	(- (pow x 4) (pow y 2))
23.4b	(sqrt (/ (- (pow x 4) (pow y 2)) (- (* x x) y)))
36.4b	(/ (- (pow x 4) (pow y 2)) (- (* x x) y))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

224×	`add-sqr-sqrt`
154×	`difference-of-squares`
129×	`times-frac`
70×	`unpow-prod-down` `sqrt-prod` `sqr-pow`
67×	`*-un-lft-identity`
47×	`add-cube-cbrt`
30×	`unpow2`
16×	`associate-/l*`
10×	`distribute-lft-out--`
8×	`add-log-exp`
6×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `flip3--` `flip--`
4×	`associate-/r*` `associate-/r/`
2×	`sub-neg` `rem-sqrt-square` `diff-log` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `sqrt-pow1` `pow1/2` `sqrt-div` `div-sub` `div-exp` `clear-num`

Counts

4 → 221

Calls

4 calls:

3.0ms	(- (* x x) y)
10.0ms	(- (pow x 4) (pow y 2))
26.0ms	(sqrt (/ (- (pow x 4) (pow y 2)) (- (* x x) y)))
32.0ms	(/ (- (pow x 4) (pow y 2)) (- (* x x) y))

series194.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(- (* x x) y)
41.0ms	(- (pow x 4) (pow y 2))
79.0ms	(sqrt (/ (- (pow x 4) (pow y 2)) (- (* x x) y)))
53.0ms	(/ (- (pow x 4) (pow y 2)) (- (* x x) y))

simplify68.0ms

Algorithm

egg-herbie

Counts

233 → 233

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	743	2681
1	2147	2401
2	5001	2247

prune441.0ms

Filtered

233 candidates to 130 candidates (55.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 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: 0b

regimes119.0ms

Accuracy

99.7% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 21.3b

bsearch45.0ms

Steps

Iters	Range		Point
7	5.0015180444029904e+126	2.0982028515765663e+128	7.197273515945126e+126
9	-4.6171551268437305e+157	-2.46786256225829e+152	-1.3498784301045228e+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

sample383.0ms

Algorithm

intervals

Results

155.0ms	8000×	body	80	valid
50.0ms	2726×	body	80	nan