Details

analyze2.2s

Algorithm: search

sample91.0ms

Algorithm

intervals

Results

29.0ms	355×	body	80	invalid
21.0ms	256×	body	80	valid

simplify85.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	43	14
1	96	14
2	291	14
3	825	14
4	2021	14
5	5001	14

prune6.0ms

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: 13.8b

Counts

2 → 1

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* y z) (* t a))
3.8b	(* x (- (* y z) (* t a)))
5.4b	(* b (- (* c z) (* t i)))
6.6b	(* j (- (* c a) (* y i)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
10×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
9×	`associate-r` `associate-l`
7×	`sub-neg`
6×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/` `add-log-exp`
4×	`flip3--` `flip--`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`diff-log`

Counts

4 → 84

Calls

4 calls:

3.0ms	(- (* y z) (* t a))
6.0ms	(* x (- (* y z) (* t a)))
6.0ms	(* b (- (* c z) (* t i)))
6.0ms	(* j (- (* c a) (* y i)))

series67.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(- (* y z) (* t a))
18.0ms	(* x (- (* y z) (* t a)))
20.0ms	(* b (- (* c z) (* t i)))
19.0ms	(* j (- (* c a) (* y i)))

simplify54.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	423	552
1	1763	485
2	5002	485

prune241.0ms

Filtered

63 candidates to 96 candidates (-52.4%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	76	20	96
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	77	20	97

Merged error: 7.4b

Counts

97 → 20

localize27.0ms

Local error

Found 4 expressions with local error:

5.4b	(cbrt (- (* y z) (* t a)))
5.4b	(cbrt (- (* y z) (* t a)))
5.4b	(cbrt (- (* y z) (* t a)))
6.6b	(* j (- (* c a) (* y i)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
9×	`cbrt-prod` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `add-exp-log` `cbrt-div` `add-cbrt-cube`
4×	`flip3--` `flip--` `add-log-exp`
3×	`pow1/3` `associate-r` `associate-l`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 63

Calls

4 calls:

4.0ms	(cbrt (- (* y z) (* t a)))
4.0ms	(cbrt (- (* y z) (* t a)))
3.0ms	(cbrt (- (* y z) (* t a)))
5.0ms	(* j (- (* c a) (* y i)))

series132.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(cbrt (- (* y z) (* t a)))
37.0ms	(cbrt (- (* y z) (* t a)))
40.0ms	(cbrt (- (* y z) (* t a)))
18.0ms	(* j (- (* c a) (* y i)))

simplify105.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 3 (98.0ms)

Iter	Nodes	Cost
0	310	605
1	1068	558
2	3850	546
3	5001	537

prune209.0ms

Filtered

59 candidates to 75 candidates (-27.1%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	73	2	75
Fresh	1	18	19
Picked	1	0	1
Done	0	0	0
Total	75	20	95

Merged error: 7.4b

Counts

95 → 20

localize31.0ms

Local error

Found 4 expressions with local error:

5.4b	(cbrt (- (* y z) (* t a)))
5.4b	(cbrt (- (* y z) (* t a)))
5.4b	(cbrt (- (* y z) (* t a)))
6.6b	(* j (- (* c a) (* y i)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
9×	`cbrt-prod` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `add-exp-log` `cbrt-div` `add-cbrt-cube`
4×	`flip3--` `flip--` `add-log-exp`
3×	`pow1/3` `associate-r` `associate-l`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 63

Calls

4 calls:

3.0ms	(cbrt (- (* y z) (* t a)))
3.0ms	(cbrt (- (* y z) (* t a)))
3.0ms	(cbrt (- (* y z) (* t a)))
7.0ms	(* j (- (* c a) (* y i)))

series132.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(cbrt (- (* y z) (* t a)))
39.0ms	(cbrt (- (* y z) (* t a)))
38.0ms	(cbrt (- (* y z) (* t a)))
18.0ms	(* j (- (* c a) (* y i)))

simplify103.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 3 (96.0ms)

Iter	Nodes	Cost
0	310	602
1	1073	555
2	3852	543
3	5001	534

prune215.0ms

Filtered

59 candidates to 75 candidates (-27.1%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	74	1	75
Fresh	0	19	19
Picked	1	0	1
Done	0	0	0
Total	75	20	95

Merged error: 7.4b

Counts

95 → 20

localize25.0ms

Local error

Found 4 expressions with local error:

6.6b	(* j (- (* c a) (* y i)))
6.8b	(cbrt (- (* c z) (* t i)))
6.8b	(cbrt (- (* c z) (* t i)))
6.8b	(cbrt (- (* c z) (* t i)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
9×	`cbrt-prod` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `add-exp-log` `cbrt-div` `add-cbrt-cube`
4×	`flip3--` `flip--` `add-log-exp`
3×	`pow1/3` `associate-r` `associate-l`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 63

Calls

4 calls:

5.0ms	(* j (- (* c a) (* y i)))
3.0ms	(cbrt (- (* c z) (* t i)))
3.0ms	(cbrt (- (* c z) (* t i)))
3.0ms	(cbrt (- (* c z) (* t i)))

series133.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* j (- (* c a) (* y i)))
37.0ms	(cbrt (- (* c z) (* t i)))
37.0ms	(cbrt (- (* c z) (* t i)))
39.0ms	(cbrt (- (* c z) (* t i)))

simplify105.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 3 (98.0ms)

Iter	Nodes	Cost
0	311	602
1	1066	555
2	3834	543
3	5001	534

prune87.0ms

Filtered

59 candidates to 75 candidates (-27.1%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	74	1	75
Fresh	1	18	19
Picked	1	0	1
Done	0	0	0
Total	76	19	95

Merged error: 7.4b

Counts

95 → 19

regimes1.8s

Accuracy

-9.6% (4.4b remaining)

Error of 13.0b against oracle of 8.6b and baseline of 12.6b

bsearch9.0s

Steps

Iters	Range		Point
8	3.7819368627516487e-137	4.0226338830146064e-134	3.824209558225954e-137
8	-5.8895248883910664e-136	-1.2628477783598814e-140	-1.2946437055234686e-140

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	65
1	63	65
2	63	65

end0.0ms

analyze2.0s

Algorithm: search

sample2.6s

Algorithm

intervals

Results

980.0ms	11197×	body	80	invalid
679.0ms	8000×	body	80	valid

Details

analyze2.2s

sample91.0ms

simplify85.0ms

prune6.0ms

localize20.0ms

rewrite22.0ms

series67.0ms

simplify54.0ms

prune241.0ms

localize27.0ms

rewrite17.0ms

series132.0ms

simplify105.0ms

prune209.0ms

localize31.0ms

rewrite19.0ms

series132.0ms

simplify103.0ms

prune215.0ms

localize25.0ms

rewrite17.0ms

series133.0ms

simplify105.0ms

prune87.0ms

regimes1.8s

bsearch9.0s

simplify2.0ms

end0.0ms

analyze2.0s

sample2.6s

Profiling