Details

analyze2.0s

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

sample82.0ms

Algorithm

intervals

Results

28.0ms	345×	body	128	invalid
18.0ms	256×	body	128	valid

simplify457.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (450.0ms)

Iter	Nodes	Cost
0	5733	43

prune7.0ms

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: 10.8b

Counts

2 → 1

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (-.f64 (.f64 x (-.f64 (.f64 y z) (.f64 t a))) (.f64 b (-.f64 (.f64 c z) (.f64 i a)))) (.f64 j (-.f64 (.f64 c t) (*.f64 i y))))
3.6b	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
4.0b	(.f64 b (-.f64 (.f64 c z) (*.f64 i a)))
5.7b	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

34×	`associate-*r/_binary64`
19×	`flip3--_binary64` `flip--_binary64`
16×	`add-sqr-sqrt_binary64`
12×	`frac-add_binary64`
11×	`sub-neg_binary64`
10×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`add-log-exp_binary64` `associate-r_binary64` `associate-l_binary64`
8×	`frac-sub_binary64`
5×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-+l+_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`
2×	`associate-+r+_binary64` `associate--l+_binary64` `sum-log_binary64`
1×	`flip3-+_binary64` `diff-log_binary64` `associate-+l-_binary64` `+-commutative_binary64` `flip-+_binary64`

Counts

4 → 96

Calls

4 calls:

14.0ms	(+.f64 (-.f64 (.f64 x (-.f64 (.f64 y z) (.f64 t a))) (.f64 b (-.f64 (.f64 c z) (.f64 i a)))) (.f64 j (-.f64 (.f64 c t) (*.f64 i y))))
7.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
7.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 i a)))
7.0ms	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))

series1.6s

Counts

4 → 12

Calls

4 calls:

1.1s	(+.f64 (-.f64 (.f64 x (-.f64 (.f64 y z) (.f64 t a))) (.f64 b (-.f64 (.f64 c z) (.f64 i a)))) (.f64 j (-.f64 (.f64 c t) (*.f64 i y))))
166.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
159.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 i a)))
172.0ms	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))

simplify94.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4962	4924
1	4962	4924

prune197.0ms

Filtered

81 candidates to 108 candidates (-33.3%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	85	23	108
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	86	23	109

Merged error: 7.1b

Counts

109 → 23

localize24.0ms

Local error

Found 4 expressions with local error:

1.6b	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (-.f64 (.f64 y z) (*.f64 t a)) (cbrt.f64 x)))
2.2b	(.f64 (-.f64 (.f64 y z) (*.f64 t a)) (cbrt.f64 x))
4.0b	(.f64 b (-.f64 (.f64 c z) (*.f64 i a)))
5.7b	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 92

Calls

4 calls:

13.0ms	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (-.f64 (.f64 y z) (*.f64 t a)) (cbrt.f64 x)))
8.0ms	(.f64 (-.f64 (.f64 y z) (*.f64 t a)) (cbrt.f64 x))
7.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 i a)))
7.0ms	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))

series876.0ms

Counts

4 → 12

Calls

4 calls:

260.0ms	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (-.f64 (.f64 y z) (*.f64 t a)) (cbrt.f64 x)))
286.0ms	(.f64 (-.f64 (.f64 y z) (*.f64 t a)) (cbrt.f64 x))
167.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 i a)))
164.0ms	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))

simplify64.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5155	1683

prune120.0ms

Filtered

68 candidates to 104 candidates (-52.9%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	102	2	104
Fresh	1	21	22
Picked	1	0	1
Done	0	0	0
Total	104	23	127

Merged error: 7.1b

Counts

127 → 23

localize27.0ms

Local error

Found 4 expressions with local error:

1.5b	(.f64 (.f64 (cbrt.f64 b) (cbrt.f64 b)) (.f64 (-.f64 (.f64 c z) (*.f64 i a)) (cbrt.f64 b)))
2.8b	(.f64 (-.f64 (.f64 c z) (*.f64 i a)) (cbrt.f64 b))
3.6b	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
5.7b	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 92

Calls

4 calls:

14.0ms	(.f64 (.f64 (cbrt.f64 b) (cbrt.f64 b)) (.f64 (-.f64 (.f64 c z) (*.f64 i a)) (cbrt.f64 b)))
8.0ms	(.f64 (-.f64 (.f64 c z) (*.f64 i a)) (cbrt.f64 b))
7.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
7.0ms	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))

series910.0ms

Counts

4 → 12

Calls

4 calls:

272.0ms	(.f64 (.f64 (cbrt.f64 b) (cbrt.f64 b)) (.f64 (-.f64 (.f64 c z) (*.f64 i a)) (cbrt.f64 b)))
284.0ms	(.f64 (-.f64 (.f64 c z) (*.f64 i a)) (cbrt.f64 b))
174.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
180.0ms	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))

simplify44.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5596	1683

prune128.0ms

Filtered

69 candidates to 104 candidates (-50.7%)

Pruning

25 alts after pruning (25 fresh and 0 done)

	Pruned	Kept	Total
New	100	4	104
Fresh	1	21	22
Picked	1	0	1
Done	0	0	0
Total	102	25	127

Merged error: 7.1b

Counts

127 → 25

localize28.0ms

Local error

Found 4 expressions with local error:

5.6b	(cbrt.f64 (-.f64 (.f64 c z) (.f64 i a)))
5.6b	(cbrt.f64 (-.f64 (.f64 c z) (.f64 i a)))
5.6b	(cbrt.f64 (-.f64 (.f64 c z) (.f64 i a)))
5.7b	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))

rewrite28.0ms

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:

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

series981.0ms

Counts

4 → 12

Calls

4 calls:

267.0ms	(cbrt.f64 (-.f64 (.f64 c z) (.f64 i a)))
265.0ms	(cbrt.f64 (-.f64 (.f64 c z) (.f64 i a)))
274.0ms	(cbrt.f64 (-.f64 (.f64 c z) (.f64 i a)))
174.0ms	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))

simplify58.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5009	1361

prune82.0ms

Filtered

62 candidates to 73 candidates (-17.7%)

Pruning

26 alts after pruning (25 fresh and 1 done)

	Pruned	Kept	Total
New	72	1	73
Fresh	0	24	24
Picked	0	1	1
Done	0	0	0
Total	72	26	98

Merged error: 7.1b

Counts

98 → 26

regimes642.0ms

Accuracy

0% (4.9b remaining)

Error of 12.5b against oracle of 7.6b and baseline of 12.5b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	142	73
1	142	73

end0.0ms

sample2.5s

Algorithm

intervals

Results

828.0ms	11074×	body	128	invalid
618.0ms	8000×	body	128	valid

Details

analyze2.0s

sample82.0ms

simplify457.0ms

prune7.0ms

localize21.0ms

rewrite51.0ms

series1.6s

simplify94.0ms

prune197.0ms

localize24.0ms

rewrite50.0ms

series876.0ms

simplify64.0ms

prune120.0ms

localize27.0ms

rewrite47.0ms

series910.0ms

simplify44.0ms

prune128.0ms

localize28.0ms

rewrite28.0ms

series981.0ms

simplify58.0ms

prune82.0ms

regimes642.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample2.5s

Profiling