Details

analyze2.2s

Algorithm

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
0%	99.6%	0.4%	8
0%	99.6%	0.4%	9
0%	99.6%	0.4%	10
0%	99.6%	0.4%	11
0%	99.6%	0.4%	12
0%	99.6%	0.4%	13
0%	99.6%	0.4%	14

sample97.0ms

Algorithm

intervals

Results

30.0ms	382×	body	80	invalid
24.0ms	256×	body	80	valid

simplify374.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (371.0ms)

Iter	Nodes	Cost
0	4955	29
1	4955	29

prune15.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 11.2b

Counts

2 → 1

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 c z) (.f64 t i))
4.3b	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
4.9b	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))
5.0b	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64`
10×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`associate-r_binary64` `associate-l_binary64`
7×	`sub-neg_binary64`
6×	`add-log-exp_binary64` `associate-*r/_binary64`
4×	`flip3--_binary64` `flip--_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`
1×	`diff-log_binary64`

Counts

4 → 77

Calls

4 calls:

4.0ms	(-.f64 (.f64 c z) (.f64 t i))
6.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
6.0ms	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))
7.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))

series90.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(-.f64 (.f64 c z) (.f64 t i))
23.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
24.0ms	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))
22.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))

simplify50.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4937	937
1	4937	937

prune251.0ms

Filtered

68 candidates to 89 candidates (-30.9%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	67	22	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	68	22	90

Merged error: 8.5b

Counts

90 → 22

localize25.0ms

Local error

Found 4 expressions with local error:

4.9b	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))
6.4b	(cbrt.f64 (-.f64 (.f64 c z) (.f64 t i)))
6.4b	(cbrt.f64 (-.f64 (.f64 c z) (.f64 t i)))
6.4b	(cbrt.f64 (-.f64 (.f64 c z) (.f64 t i)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64`
9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `cbrt-prod_binary64`
6×	`cbrt-div_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `flip3--_binary64` `flip--_binary64`
3×	`associate-r_binary64` `pow1/3_binary64` `associate-l_binary64`
2×	`sub-neg_binary64` `associate-*r/_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

4 → 61

Calls

4 calls:

6.0ms	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))
4.0ms	(cbrt.f64 (-.f64 (.f64 c z) (.f64 t i)))
4.0ms	(cbrt.f64 (-.f64 (.f64 c z) (.f64 t i)))
4.0ms	(cbrt.f64 (-.f64 (.f64 c z) (.f64 t i)))

series147.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))
40.0ms	(cbrt.f64 (-.f64 (.f64 c z) (.f64 t i)))
40.0ms	(cbrt.f64 (-.f64 (.f64 c z) (.f64 t i)))
42.0ms	(cbrt.f64 (-.f64 (.f64 c z) (.f64 t i)))

simplify45.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4950	897
1	4950	897

prune203.0ms

Filtered

65 candidates to 73 candidates (-12.3%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	72	1	73
Fresh	0	21	21
Picked	1	0	1
Done	0	0	0
Total	73	22	95

Merged error: 8.5b

Counts

95 → 22

localize31.0ms

Local error

Found 4 expressions with local error:

5.0b	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))
6.4b	(cbrt.f64 (-.f64 (.f64 c a) (.f64 y i)))
6.4b	(cbrt.f64 (-.f64 (.f64 c a) (.f64 i y)))
6.4b	(cbrt.f64 (-.f64 (.f64 c a) (.f64 i y)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64`
9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `cbrt-prod_binary64`
6×	`cbrt-div_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `flip3--_binary64` `flip--_binary64`
3×	`associate-r_binary64` `pow1/3_binary64` `associate-l_binary64`
2×	`sub-neg_binary64` `associate-*r/_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

4 → 61

Calls

4 calls:

7.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))
4.0ms	(cbrt.f64 (-.f64 (.f64 c a) (.f64 y i)))
4.0ms	(cbrt.f64 (-.f64 (.f64 c a) (.f64 i y)))
4.0ms	(cbrt.f64 (-.f64 (.f64 c a) (.f64 i y)))

series151.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))
41.0ms	(cbrt.f64 (-.f64 (.f64 c a) (.f64 y i)))
41.0ms	(cbrt.f64 (-.f64 (.f64 c a) (.f64 i y)))
41.0ms	(cbrt.f64 (-.f64 (.f64 c a) (.f64 i y)))

simplify44.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4964	897
1	4964	897

prune199.0ms

Filtered

66 candidates to 73 candidates (-10.6%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	72	1	73
Fresh	0	21	21
Picked	1	0	1
Done	0	0	0
Total	73	22	95

Merged error: 8.5b

Counts

95 → 22

localize31.0ms

Local error

Found 4 expressions with local error:

5.0b	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))
6.2b	(cbrt.f64 (-.f64 (.f64 y z) (.f64 t a)))
6.2b	(cbrt.f64 (-.f64 (.f64 z y) (.f64 t a)))
6.2b	(cbrt.f64 (-.f64 (.f64 z y) (.f64 t a)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64`
9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `cbrt-prod_binary64`
6×	`cbrt-div_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `flip3--_binary64` `flip--_binary64`
3×	`associate-r_binary64` `pow1/3_binary64` `associate-l_binary64`
2×	`sub-neg_binary64` `associate-*r/_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

4 → 61

Calls

4 calls:

8.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))
5.0ms	(cbrt.f64 (-.f64 (.f64 y z) (.f64 t a)))
4.0ms	(cbrt.f64 (-.f64 (.f64 z y) (.f64 t a)))
4.0ms	(cbrt.f64 (-.f64 (.f64 z y) (.f64 t a)))

series148.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))
40.0ms	(cbrt.f64 (-.f64 (.f64 y z) (.f64 t a)))
43.0ms	(cbrt.f64 (-.f64 (.f64 z y) (.f64 t a)))
41.0ms	(cbrt.f64 (-.f64 (.f64 z y) (.f64 t a)))

simplify43.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4960	897
1	4960	897

prune80.0ms

Filtered

66 candidates to 73 candidates (-10.6%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	70	3	73
Fresh	1	20	21
Picked	1	0	1
Done	0	0	0
Total	72	23	95

Merged error: 8.4b

Counts

95 → 23

regimes2.0s

Accuracy

0% (3.7b remaining)

Error of 11.9b against oracle of 8.2b and baseline of 11.9b

bsearch0.0ms

simplify13.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (11.0ms)

Iter	Nodes	Cost
0	539	52
1	539	52

end0.0ms

sample2.6s

Algorithm

intervals

Results

911.0ms	10922×	body	80	invalid
671.0ms	8000×	body	80	valid

Details

analyze2.2s

sample97.0ms

simplify374.0ms

prune15.0ms

localize19.0ms

rewrite26.0ms

series90.0ms

simplify50.0ms

prune251.0ms

localize25.0ms

rewrite20.0ms

series147.0ms

simplify45.0ms

prune203.0ms

localize31.0ms

rewrite20.0ms

series151.0ms

simplify44.0ms

prune199.0ms

localize31.0ms

rewrite23.0ms

series148.0ms

simplify43.0ms

prune80.0ms

regimes2.0s

bsearch0.0ms

simplify13.0ms

end0.0ms

sample2.6s

Profiling