Details

analyze2.1s

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

sample107.0ms

Algorithm

intervals

Results

29.0ms	343×	body	80	invalid
21.0ms	256×	body	80	valid

simplify548.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (536.0ms)

Iter	Nodes	Cost
0	4946	43
1	4946	43

prune19.0ms

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: 11.8b

Counts

2 → 1

localize32.0ms

Local error

Found 4 expressions with local error:

0.3b	(-.f64 (.f64 c z) (.f64 i a))
3.7b	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
5.4b	(.f64 b (-.f64 (.f64 c z) (*.f64 i a)))
5.9b	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_5695`
10×	`add-exp-log_binary64_5674` `add-cbrt-cube_binary64_5682` `*-un-lft-identity_binary64_5710` `add-cube-cbrt_binary64_5681` `pow1_binary64_5656`
9×	`associate-r_binary64_5769` `associate-l_binary64_5770`
7×	`sub-neg_binary64_5714`
6×	`associate-*r/_binary64_5771` `add-log-exp_binary64_5675`
4×	`flip--_binary64_5736` `flip3--_binary64_5709`
3×	`cbrt-unprod_binary64_5679` `distribute-lft-in_binary64_5752` `unswap-sqr_binary64_5738` `prod-exp_binary64_5661` `*-commutative_binary64_5778` `distribute-rgt-in_binary64_5753` `pow-prod-down_binary64_5637`
1×	`diff-log_binary64_5626`

Counts

4 → 77

Calls

4 calls:

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

series280.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(-.f64 (.f64 c z) (.f64 i a))
81.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
79.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 i a)))
79.0ms	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))

simplify60.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5006	1390

prune470.0ms

Filtered

62 candidates to 89 candidates (-43.5%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	69	20	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	70	20	90

Merged error: 8.2b

Counts

90 → 20

localize43.0ms

Local error

Found 4 expressions with local error:

2.8b	(.f64 (-.f64 (.f64 c z) (*.f64 i a)) (cbrt.f64 b))
2.9b	(.f64 (.f64 (cbrt.f64 b) (cbrt.f64 b)) (.f64 (-.f64 (.f64 c z) (*.f64 i a)) (cbrt.f64 b)))
3.7b	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
5.9b	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log_binary64_5674` `pow1_binary64_5656`
19×	`add-sqr-sqrt_binary64_5695`
15×	`add-cbrt-cube_binary64_5682`
13×	`associate-r_binary64_5769`
11×	`cbrt-unprod_binary64_5679` `*-un-lft-identity_binary64_5710` `prod-exp_binary64_5661` `add-cube-cbrt_binary64_5681` `pow-prod-down_binary64_5637`
10×	`associate-l_binary64_5770`
6×	`associate-*r/_binary64_5771`
4×	`sub-neg_binary64_5714` `flip--_binary64_5736` `unswap-sqr_binary64_5738` `associate-l/_binary64_5772` `cbrt-prod_binary64_5677` `-commutative_binary64_5778` `flip3--_binary64_5709` `add-log-exp_binary64_5675`
2×	`distribute-lft-in_binary64_5752` `distribute-rgt-in_binary64_5753`

Counts

4 → 92

Calls

4 calls:

7.0ms	(.f64 (-.f64 (.f64 c z) (*.f64 i a)) (cbrt.f64 b))
12.0ms	(.f64 (.f64 (cbrt.f64 b) (cbrt.f64 b)) (.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)))

series402.0ms

Counts

4 → 12

Calls

4 calls:

151.0ms	(.f64 (-.f64 (.f64 c z) (*.f64 i a)) (cbrt.f64 b))
95.0ms	(.f64 (.f64 (cbrt.f64 b) (cbrt.f64 b)) (.f64 (-.f64 (.f64 c z) (*.f64 i a)) (cbrt.f64 b)))
78.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
77.0ms	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))

simplify56.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5775	1803

prune592.0ms

Filtered

75 candidates to 104 candidates (-38.7%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	101	3	104
Fresh	1	18	19
Picked	1	0	1
Done	0	0	0
Total	103	21	124

Merged error: 8.1b

Counts

124 → 21

localize39.0ms

Local error

Found 4 expressions with local error:

5.9b	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
6.0b	(cbrt.f64 (.f64 j (-.f64 (.f64 c t) (*.f64 i y))))
6.0b	(cbrt.f64 (.f64 j (-.f64 (.f64 c t) (*.f64 i y))))
6.0b	(cbrt.f64 (.f64 j (-.f64 (.f64 c t) (*.f64 i y))))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

8×	`associate-*r/_binary64_5771` `add-sqr-sqrt_binary64_5695`
6×	`add-exp-log_binary64_5674` `add-cbrt-cube_binary64_5682` `*-un-lft-identity_binary64_5710` `add-cube-cbrt_binary64_5681` `pow1_binary64_5656` `cbrt-div_binary64_5678`
4×	`flip--_binary64_5736` `flip3--_binary64_5709` `add-log-exp_binary64_5675`
3×	`pow1/3_binary64_5648` `associate-r_binary64_5769` `associate-l_binary64_5770` `cbrt-prod_binary64_5677`
2×	`sub-neg_binary64_5714`
1×	`cbrt-unprod_binary64_5679` `distribute-lft-in_binary64_5752` `unswap-sqr_binary64_5738` `prod-exp_binary64_5661` `*-commutative_binary64_5778` `distribute-rgt-in_binary64_5753` `pow-prod-down_binary64_5637`

Counts

4 → 55

Calls

4 calls:

10.0ms	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
7.0ms	(cbrt.f64 (.f64 j (-.f64 (.f64 c t) (*.f64 i y))))
9.0ms	(cbrt.f64 (.f64 j (-.f64 (.f64 c t) (*.f64 i y))))
10.0ms	(cbrt.f64 (.f64 j (-.f64 (.f64 c t) (*.f64 i y))))

series595.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
174.0ms	(cbrt.f64 (.f64 j (-.f64 (.f64 c t) (*.f64 i y))))
168.0ms	(cbrt.f64 (.f64 j (-.f64 (.f64 c t) (*.f64 i y))))
175.0ms	(cbrt.f64 (.f64 j (-.f64 (.f64 c t) (*.f64 i y))))

simplify116.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (96.0ms)

Iter	Nodes	Cost
0	4974	1325
1	4974	1325

prune663.0ms

Filtered

56 candidates to 67 candidates (-19.6%)

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	65	2	67
Fresh	1	19	20
Picked	0	1	1
Done	0	0	0
Total	66	22	88

Merged error: 8.1b

Counts

88 → 22

localize39.0ms

Local error

Found 4 expressions with local error:

5.9b	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
6.7b	(cbrt.f64 (.f64 b (-.f64 (.f64 c z) (*.f64 i a))))
6.7b	(cbrt.f64 (.f64 b (-.f64 (.f64 c z) (*.f64 i a))))
6.7b	(cbrt.f64 (.f64 b (-.f64 (.f64 c z) (*.f64 i a))))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

8×	`associate-*r/_binary64_5771` `add-sqr-sqrt_binary64_5695`
6×	`add-exp-log_binary64_5674` `add-cbrt-cube_binary64_5682` `*-un-lft-identity_binary64_5710` `add-cube-cbrt_binary64_5681` `pow1_binary64_5656` `cbrt-div_binary64_5678`
4×	`flip--_binary64_5736` `flip3--_binary64_5709` `add-log-exp_binary64_5675`
3×	`pow1/3_binary64_5648` `associate-r_binary64_5769` `associate-l_binary64_5770` `cbrt-prod_binary64_5677`
2×	`sub-neg_binary64_5714`
1×	`cbrt-unprod_binary64_5679` `distribute-lft-in_binary64_5752` `unswap-sqr_binary64_5738` `prod-exp_binary64_5661` `*-commutative_binary64_5778` `distribute-rgt-in_binary64_5753` `pow-prod-down_binary64_5637`

Counts

4 → 55

Calls

4 calls:

6.0ms	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
5.0ms	(cbrt.f64 (.f64 b (-.f64 (.f64 c z) (*.f64 i a))))
6.0ms	(cbrt.f64 (.f64 b (-.f64 (.f64 c z) (*.f64 i a))))
9.0ms	(cbrt.f64 (.f64 b (-.f64 (.f64 c z) (*.f64 i a))))

series633.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
178.0ms	(cbrt.f64 (.f64 b (-.f64 (.f64 c z) (*.f64 i a))))
176.0ms	(cbrt.f64 (.f64 b (-.f64 (.f64 c z) (*.f64 i a))))
204.0ms	(cbrt.f64 (.f64 b (-.f64 (.f64 c z) (*.f64 i a))))

simplify90.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4974	1331
1	4974	1331

prune243.0ms

Filtered

56 candidates to 67 candidates (-19.6%)

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	65	2	67
Fresh	2	18	20
Picked	1	0	1
Done	0	1	1
Total	68	21	89

Merged error: 8.1b

Counts

89 → 21

regimes2.8s

Accuracy

0% (4.2b remaining)

Error of 12.7b against oracle of 8.5b and baseline of 12.7b

bsearch0.0ms

simplify6.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	155	81
1	155	81

end0.0ms

sample2.9s

Algorithm

intervals

Results

934.0ms	11139×	body	80	invalid
694.0ms	8000×	body	80	valid

Details

analyze2.1s

sample107.0ms

simplify548.0ms

prune19.0ms

localize32.0ms

rewrite25.0ms

series280.0ms

simplify60.0ms

prune470.0ms

localize43.0ms

rewrite36.0ms

series402.0ms

simplify56.0ms

prune592.0ms

localize39.0ms

rewrite37.0ms

series595.0ms

simplify116.0ms

prune663.0ms

localize39.0ms

rewrite27.0ms

series633.0ms

simplify90.0ms

prune243.0ms

regimes2.8s

bsearch0.0ms

simplify6.0ms

end0.0ms

sample2.9s

Profiling