Details

sample43.0ms

Algorithm

intervals

Results

13.0ms	317×	body	80	nan
12.0ms	326×	body	80	valid

simplify94.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	15	5
1	22	5
2	39	5
3	71	5
4	167	5
5	298	5
6	545	5
7	2142	5
8	5001	5

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 26.6b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(* x (sqrt (- (* y y) (* z z))))
2.0b	(- (* y y) (* z z))
26.1b	(sqrt (- (* y y) (* z z)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
9×	`sqrt-prod`
7×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
6×	`pow1`
5×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
4×	`sqrt-div`
3×	`expm1-log1p-u` `flip3--` `associate-l` `flip--` `log1p-expm1-u` `difference-of-squares`
2×	`associate-*r/` `unswap-sqr`
1×	`sub-neg` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `fma-neg` `diff-log` `prod-diff` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

3 → 62

Calls

3 calls:

7.0ms	(* x (sqrt (- (* y y) (* z z))))
4.0ms	(- (* y y) (* z z))
4.0ms	(sqrt (- (* y y) (* z z)))

series153.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(* x (sqrt (- (* y y) (* z z))))
31.0ms	(- (* y y) (* z z))
48.0ms	(sqrt (- (* y y) (* z z)))

simplify78.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 3 (73.0ms)

Iter	Nodes	Cost
0	202	397
1	786	374
2	3192	368
3	5001	364

prune136.0ms

Filtered

71 candidates to 54 candidates (76.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	68	3	71
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	69	3	72

Merged error: 0.3b

Counts

72 → 3

localize3.0ms

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

prune3.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	1	1
Done	0	0
Total	3	3

Merged error: 0.3b

Counts

3 → 3

localize2.0ms

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

3 alts after pruning (1 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	1	1
Total	3	3

Merged error: 0.3b

Counts

3 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (* (sqrt (+ y z)) (sqrt (- y z))))
0.0b	(sqrt (+ y z))
0.0b	(sqrt (- y z))
0.2b	(* (sqrt (+ y z)) (sqrt (- y z)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

28×	`sqrt-div`
27×	`add-sqr-sqrt`
22×	`sqrt-prod`
19×	`*-un-lft-identity`
15×	`pow1`
12×	`associate-*r/`
11×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
10×	`associate-l`
9×	`associate-r`
8×	`frac-times`
7×	`flip3--` `flip3-+` `flip--` `flip-+`
6×	`pow-prod-down`
4×	`expm1-log1p-u` `sqrt-pow1` `pow1/2` `associate-*l/` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`rem-sqrt-square` `*-commutative` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`
1×	`sqrt-unprod` `hypot-def`

Counts

4 → 109

Calls

4 calls:

12.0ms	(* x (* (sqrt (+ y z)) (sqrt (- y z))))
3.0ms	(sqrt (+ y z))
4.0ms	(sqrt (- y z))
13.0ms	(* (sqrt (+ y z)) (sqrt (- y z)))

series272.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(* x (* (sqrt (+ y z)) (sqrt (- y z))))
37.0ms	(sqrt (+ y z))
64.0ms	(sqrt (- y z))
70.0ms	(* (sqrt (+ y z)) (sqrt (- y z)))

simplify46.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	374	767
1	1280	721
2	5001	705

prune252.0ms

Filtered

121 candidates to 89 candidates (73.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	121	3	124

Merged error: 0.3b

Counts

124 → 3

regimes104.0ms

Accuracy

97.5% (0.8b remaining)

Error of 1.0b against oracle of 0.2b and baseline of 30.9b

bsearch101.0ms

Steps

Iters	Range		Point
10	-3.6907714327771176e-206	-3.4323171933807757e-220	-3.4725540194385462e-220

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	3
1	14	3
2	17	3
3	17	3

end0.0ms

sample1.2s

Algorithm

intervals

Results

379.0ms	10160×	body	80	valid
360.0ms	10107×	body	80	nan

Details

sample43.0ms

simplify94.0ms

prune2.0ms

localize7.0ms

rewrite16.0ms

series153.0ms

simplify78.0ms

prune136.0ms

localize3.0ms

rewrite0.0ms

series0.0ms

simplify3.0ms

prune3.0ms

localize2.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune2.0ms

localize8.0ms

rewrite36.0ms

series272.0ms

simplify46.0ms

prune252.0ms

regimes104.0ms

bsearch101.0ms

simplify2.0ms

end0.0ms

sample1.2s

Profiling