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

sample86.0ms

Algorithm

intervals

Results

31.0ms	361×	body	128	invalid
18.0ms	256×	body	128	valid

simplify454.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (447.0ms)

Iter	Nodes	Cost
0	5733	43

prune3.0ms

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: 12.8b

Counts

2 → 1

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b	(-.f64 (.f64 c t) (.f64 i y))
3.1b	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
5.4b	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
6.5b	(.f64 b (-.f64 (.f64 c z) (*.f64 i a)))

rewrite36.0ms

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:

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

series599.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(-.f64 (.f64 c t) (.f64 i y))
177.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
172.0ms	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
172.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 i a)))

simplify67.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5096	1390

prune149.0ms

Filtered

65 candidates to 89 candidates (-36.9%)

Pruning

26 alts after pruning (26 fresh and 0 done)

	Pruned	Kept	Total
New	63	26	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	64	26	90

Merged error: 9.7b

Counts

90 → 26

localize23.0ms

Local error

Found 4 expressions with local error:

3.1b	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
4.1b	(.f64 b (neg.f64 (.f64 i a)))
5.4b	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
6.7b	(.f64 b (.f64 c z))

rewrite35.0ms

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:

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

series441.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
50.0ms	(.f64 b (neg.f64 (.f64 i a)))
173.0ms	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
49.0ms	(.f64 b (.f64 c z))

simplify72.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5302	1207

prune121.0ms

Filtered

67 candidates to 96 candidates (-43.3%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	92	4	96
Fresh	5	20	25
Picked	1	0	1
Done	0	0	0
Total	98	24	122

Merged error: 5.9b

Counts

122 → 24

localize23.0ms

Local error

Found 4 expressions with local error:

3.1b	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
4.1b	(.f64 b (neg.f64 (.f64 i a)))
4.1b	(.f64 (.f64 b c) z)
5.4b	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))

rewrite32.0ms

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

series433.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
46.0ms	(.f64 b (neg.f64 (.f64 i a)))
45.0ms	(.f64 (.f64 b c) z)
175.0ms	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))

simplify68.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5341	1209

prune119.0ms

Filtered

66 candidates to 96 candidates (-45.5%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	90	6	96
Fresh	5	18	23
Picked	1	0	1
Done	0	0	0
Total	96	24	120

Merged error: 5.0b

Counts

120 → 24

localize22.0ms

Local error

Found 4 expressions with local error:

3.1b	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
4.1b	(.f64 (.f64 b c) z)
5.4b	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
5.5b	(.f64 (.f64 i b) (neg.f64 a))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

7.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
5.0ms	(.f64 (.f64 b c) z)
7.0ms	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
8.0ms	(.f64 (.f64 i b) (neg.f64 a))

series447.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
45.0ms	(.f64 (.f64 b c) z)
172.0ms	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
53.0ms	(.f64 (.f64 i b) (neg.f64 a))

simplify53.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4981	1243
1	4981	1243

prune82.0ms

Filtered

67 candidates to 100 candidates (-49.3%)

Pruning

25 alts after pruning (25 fresh and 0 done)

	Pruned	Kept	Total
New	96	4	100
Fresh	2	21	23
Picked	1	0	1
Done	0	0	0
Total	99	25	124

Merged error: 4.7b

Counts

124 → 25

regimes726.0ms

Accuracy

51.3% (3.3b remaining)

Error of 8.9b against oracle of 5.7b and baseline of 12.4b

bsearch128.0ms

Steps

Iters	Range		Point
7	0.04080953539748868	1.0393933520378622	0.14667676959344134
9	-1.08574353824695e+32	-3.413564630786717e+23	-5.700589898219947e+27

simplify25.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	829	106
1	829	106

end0.0ms

sample2.5s

Algorithm

intervals

Results

854.0ms	10959×	body	128	invalid
608.0ms	8000×	body	128	valid

Details

analyze2.2s

sample86.0ms

simplify454.0ms

prune3.0ms

localize20.0ms

rewrite36.0ms

series599.0ms

simplify67.0ms

prune149.0ms

localize23.0ms

rewrite35.0ms

series441.0ms

simplify72.0ms

prune121.0ms

localize23.0ms

rewrite32.0ms

series433.0ms

simplify68.0ms

prune119.0ms

localize22.0ms

rewrite36.0ms

series447.0ms

simplify53.0ms

prune82.0ms

regimes726.0ms

bsearch128.0ms

simplify25.0ms

end0.0ms

sample2.5s

Profiling