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

sample85.0ms

Algorithm

intervals

Results

30.0ms	334×	body	80	invalid
19.0ms	256×	body	80	valid

simplify378.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (374.0ms)

Iter	Nodes	Cost
0	4955	29
1	4955	29

prune11.0ms

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: 13.5b

Counts

2 → 1

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(-.f64 (.f64 c z) (.f64 t i))
4.9b	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))
5.5b	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
5.6b	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))

rewrite30.0ms

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))
10.0ms	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))
7.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
7.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))

series83.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(-.f64 (.f64 c z) (.f64 t i))
23.0ms	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))
22.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
22.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))

simplify54.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4937	937
1	4937	937

prune231.0ms

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: 8.0b

Counts

90 → 22

localize23.0ms

Local error

Found 4 expressions with local error:

4.9b	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))
5.1b	(.f64 b (.f64 c z))
5.5b	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
6.5b	(.f64 b (neg.f64 (.f64 t i)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64`
15×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
13×	`associate-r_binary64`
12×	`associate-l_binary64`
11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
6×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
4×	`add-log-exp_binary64` `sub-neg_binary64` `associate-r/_binary64` `-commutative_binary64`
3×	`unswap-sqr_binary64`
2×	`flip3--_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `flip--_binary64`
1×	`distribute-rgt-neg-out_binary64` `neg-mul-1_binary64` `distribute-lft-neg-in_binary64` `distribute-rgt-neg-in_binary64`

Counts

4 → 84

Calls

4 calls:

6.0ms	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))
5.0ms	(.f64 b (.f64 c z))
7.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
5.0ms	(.f64 b (neg.f64 (.f64 t i)))

series62.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))
7.0ms	(.f64 b (.f64 c z))
22.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
10.0ms	(.f64 b (neg.f64 (.f64 t i)))

simplify53.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5231	808

prune210.0ms

Filtered

70 candidates to 96 candidates (-37.1%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	92	4	96
Fresh	2	19	21
Picked	1	0	1
Done	0	0	0
Total	95	23	118

Merged error: 5.5b

Counts

118 → 23

localize23.0ms

Local error

Found 4 expressions with local error:

4.0b	(.f64 (.f64 b c) z)
4.9b	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))
5.5b	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
6.5b	(.f64 b (neg.f64 (.f64 t i)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64`
15×	`pow1_binary64` `associate-r_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
10×	`associate-l_binary64`
6×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
4×	`add-log-exp_binary64` `sub-neg_binary64` `associate-r/_binary64` `-commutative_binary64`
3×	`unswap-sqr_binary64`
2×	`flip3--_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `flip--_binary64`
1×	`distribute-rgt-neg-out_binary64` `neg-mul-1_binary64` `distribute-lft-neg-in_binary64` `distribute-rgt-neg-in_binary64`

Counts

4 → 84

Calls

4 calls:

7.0ms	(.f64 (.f64 b c) z)
7.0ms	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))
7.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
5.0ms	(.f64 b (neg.f64 (.f64 t i)))

series60.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(.f64 (.f64 b c) z)
22.0ms	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))
22.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
8.0ms	(.f64 b (neg.f64 (.f64 t i)))

simplify51.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5260	809

prune202.0ms

Filtered

68 candidates to 96 candidates (-41.2%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	93	3	96
Fresh	2	20	22
Picked	1	0	1
Done	0	0	0
Total	96	23	119

Merged error: 4.9b

Counts

119 → 23

localize25.0ms

Local error

Found 4 expressions with local error:

5.5b	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
6.8b	(cbrt.f64 (-.f64 (.f64 c z) (.f64 t i)))
6.8b	(cbrt.f64 (-.f64 (.f64 c z) (.f64 t i)))
6.8b	(cbrt.f64 (-.f64 (.f64 c z) (.f64 t i)))

rewrite21.0ms

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

series146.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
41.0ms	(cbrt.f64 (-.f64 (.f64 c z) (.f64 t i)))
43.0ms	(cbrt.f64 (-.f64 (.f64 c z) (.f64 t i)))
41.0ms	(cbrt.f64 (-.f64 (.f64 c z) (.f64 t i)))

simplify42.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4981	897
1	4981	897

prune72.0ms

Filtered

65 candidates to 73 candidates (-12.3%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	72	1	73
Fresh	0	22	22
Picked	1	0	1
Done	0	0	0
Total	73	23	96

Merged error: 4.9b

Counts

96 → 23

regimes2.1s

Accuracy

47.7% (3.4b remaining)

Error of 9.5b against oracle of 6.1b and baseline of 12.6b

bsearch115.0ms

Steps

Iters	Range		Point
9	4.13901583937233e-90	1.8281565275747044e-84	1.2070106218244255e-84
8	-1.5402100645477478e+35	-6.74389526239305e+30	-4.8212496187944244e+32

simplify21.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	962	108
1	962	108

end0.0ms

sample2.4s

Algorithm

intervals

Results

899.0ms	11154×	body	80	invalid
635.0ms	8000×	body	80	valid

Details

analyze2.2s

sample85.0ms

simplify378.0ms

prune11.0ms

localize20.0ms

rewrite30.0ms

series83.0ms

simplify54.0ms

prune231.0ms

localize23.0ms

rewrite25.0ms

series62.0ms

simplify53.0ms

prune210.0ms

localize23.0ms

rewrite27.0ms

series60.0ms

simplify51.0ms

prune202.0ms

localize25.0ms

rewrite21.0ms

series146.0ms

simplify42.0ms

prune72.0ms

regimes2.1s

bsearch115.0ms

simplify21.0ms

end0.0ms

sample2.4s

Profiling