Details

analyze329.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	74.9%	25.1%	3
0%	74.9%	25.1%	4
0%	74.9%	25.1%	5
0%	62.4%	37.6%	6
0%	31.2%	68.8%	7
0%	31.2%	68.8%	8
0%	31.2%	68.8%	9
0%	28.1%	71.9%	10
6.1%	20.4%	73.5%	11
6.1%	20.4%	73.5%	12
7.7%	18.8%	73.5%	13
9.2%	16.6%	74.3%	14

sample51.0ms

Algorithm

intervals

Results

12.0ms	181×	body	80	valid
10.0ms	27×	body	640	valid
9.0ms	12×	body	1280	valid
5.0ms	24×	body	320	valid
2.0ms	12×	body	160	valid
1.0ms	8×	body	80	nan

simplify248.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (245.0ms)

Iter	Nodes	Cost
0	6294	17

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 7.2b

Counts

2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))) t)
0.0b	(*.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))
0.2b	(*.f64 (-.f64 x 1) (log.f64 y))
3.9b	(log.f64 (-.f64 1 y))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt_binary64`
30×	`*-un-lft-identity_binary64`
24×	`log-prod_binary64`
14×	`associate-l_binary64`
13×	`add-cube-cbrt_binary64`
11×	`pow1_binary64` `difference-of-squares_binary64`
9×	`add-log-exp_binary64` `add-exp-log_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
8×	`associate-r_binary64` `add-cbrt-cube_binary64`
6×	`distribute-lft-out--_binary64`
4×	`flip3--_binary64` `flip--_binary64` `associate-*l/_binary64`
3×	`log-pow_binary64`
2×	`pow-prod-down_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `difference-of-sqr-1_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `log-div_binary64` `*-commutative_binary64`
1×	`sub-neg_binary64` `rem-log-exp_binary64` `associate--l+_binary64` `sum-log_binary64`

Counts

4 → 100

Calls

4 calls:

13.0ms	(-.f64 (+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))) t)
13.0ms	(*.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))
8.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
4.0ms	(log.f64 (-.f64 1 y))

series45.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(-.f64 (+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))) t)
6.0ms	(*.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))
8.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
3.0ms	(log.f64 (-.f64 1 y))

simplify57.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4981	1324
1	4981	1324

prune143.0ms

Filtered

78 candidates to 112 candidates (-43.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	106	6	112
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	107	6	113

Merged error: 0.0b

Counts

113 → 6

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(.f64 (-.f64 z 1) (-.f64 (neg.f64 y) (.f64 (.f64 y y) (+.f64 (.f64 y 1/3) 1/2))))
0.0b	(.f64 (.f64 y y) (+.f64 (*.f64 y 1/3) 1/2))
0.2b	(*.f64 (-.f64 x 1) (log.f64 y))
0.3b	(*.f64 y 1/3)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64`
19×	`*-un-lft-identity_binary64`
18×	`associate-l_binary64`
16×	`pow1_binary64`
15×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
13×	`associate-r_binary64` `add-cube-cbrt_binary64`
7×	`flip3--_binary64` `flip--_binary64`
6×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `log-prod_binary64` `prod-exp_binary64`
5×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
4×	`add-log-exp_binary64` `associate-r/_binary64` `unswap-sqr_binary64` `difference-of-squares_binary64` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`
2×	`sub-neg_binary64` `difference-of-sqr-1_binary64` `distribute-lft-out--_binary64`
1×	`flip3-+_binary64` `log-pow_binary64` `flip-+_binary64`

Counts

4 → 104

Calls

4 calls:

11.0ms	(.f64 (-.f64 z 1) (-.f64 (neg.f64 y) (.f64 (.f64 y y) (+.f64 (.f64 y 1/3) 1/2))))
10.0ms	(.f64 (.f64 y y) (+.f64 (*.f64 y 1/3) 1/2))
8.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
4.0ms	(*.f64 y 1/3)

series33.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(.f64 (-.f64 z 1) (-.f64 (neg.f64 y) (.f64 (.f64 y y) (+.f64 (.f64 y 1/3) 1/2))))
7.0ms	(.f64 (.f64 y y) (+.f64 (*.f64 y 1/3) 1/2))
8.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
2.0ms	(*.f64 y 1/3)

simplify34.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	4988	1354
1	4988	1354

prune137.0ms

Filtered

79 candidates to 116 candidates (-46.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	114	2	116
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	115	7	122

Merged error: 0.0b

Counts

122 → 7

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(.f64 (-.f64 z 1) (-.f64 (log.f64 (-.f64 1 (pow.f64 y 3))) (log.f64 (+.f64 1 (+.f64 y (.f64 y y))))))
0.2b	(*.f64 (-.f64 x 1) (log.f64 y))
2.3b	(log.f64 (-.f64 1 (pow.f64 y 3)))
3.7b	(log.f64 (+.f64 1 (+.f64 y (*.f64 y y))))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-sqr-sqrt_binary64`
46×	`log-prod_binary64`
44×	`*-un-lft-identity_binary64`
29×	`difference-of-squares_binary64`
24×	`associate--l+_binary64`
18×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
15×	`pow1_binary64`
14×	`add-cube-cbrt_binary64` `associate-l_binary64`
12×	`associate-r_binary64`
10×	`add-exp-log_binary64`
9×	`distribute-lft-out--_binary64`
8×	`flip3--_binary64` `add-cbrt-cube_binary64` `log-div_binary64` `flip--_binary64`
7×	`log-pow_binary64`
6×	`sqr-pow_binary64` `unpow-prod-down_binary64` `cube-prod_binary64`
4×	`add-log-exp_binary64` `associate--r-_binary64` `frac-times_binary64` `associate-*l/_binary64`
3×	`flip3-+_binary64` `flip-+_binary64`
2×	`pow-prod-down_binary64` `sub-neg_binary64` `cbrt-unprod_binary64` `rem-log-exp_binary64` `associate-r/_binary64` `difference-of-sqr-1_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `-commutative_binary64`
1×	`distribute-lft-out_binary64`

Counts

4 → 134

Calls

4 calls:

20.0ms	(.f64 (-.f64 z 1) (-.f64 (log.f64 (-.f64 1 (pow.f64 y 3))) (log.f64 (+.f64 1 (+.f64 y (.f64 y y))))))
8.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
7.0ms	(log.f64 (-.f64 1 (pow.f64 y 3)))
5.0ms	(log.f64 (+.f64 1 (+.f64 y (*.f64 y y))))

series47.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(.f64 (-.f64 z 1) (-.f64 (log.f64 (-.f64 1 (pow.f64 y 3))) (log.f64 (+.f64 1 (+.f64 y (.f64 y y))))))
8.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
13.0ms	(log.f64 (-.f64 1 (pow.f64 y 3)))
4.0ms	(log.f64 (+.f64 1 (+.f64 y (*.f64 y y))))

simplify52.0ms

Algorithm

egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5099	2601

prune167.0ms

Filtered

86 candidates to 146 candidates (-69.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	145	1	146
Fresh	0	5	5
Picked	1	0	1
Done	0	1	1
Total	146	7	153

Merged error: 0.0b

Counts

153 → 7

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b	(+.f64 (.f64 (-.f64 x 1) (.f64 2 (log.f64 (cbrt.f64 y)))) (*.f64 (-.f64 x 1) (log.f64 (cbrt.f64 y))))
0.7b	(cbrt.f64 y)
0.7b	(cbrt.f64 y)
3.9b	(log.f64 (-.f64 1 y))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

42×	`log-prod_binary64`
30×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
24×	`associate-+l+_binary64` `cbrt-prod_binary64`
22×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
19×	`add-cube-cbrt_binary64`
12×	`associate-+r+_binary64`
8×	`associate-*l/_binary64`
6×	`add-log-exp_binary64`
5×	`pow1_binary64` `flip3--_binary64` `add-exp-log_binary64` `flip--_binary64`
4×	`frac-add_binary64` `add-cbrt-cube_binary64`
2×	`pow1/3_binary64` `difference-of-squares_binary64` `log-div_binary64`
1×	`flip3-+_binary64` `distribute-lft-out_binary64` `rem-log-exp_binary64` `log-pow_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

4 → 91

Calls

4 calls:

17.0ms	(+.f64 (.f64 (-.f64 x 1) (.f64 2 (log.f64 (cbrt.f64 y)))) (*.f64 (-.f64 x 1) (log.f64 (cbrt.f64 y))))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
4.0ms	(log.f64 (-.f64 1 y))

series67.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(+.f64 (.f64 (-.f64 x 1) (.f64 2 (log.f64 (cbrt.f64 y)))) (*.f64 (-.f64 x 1) (log.f64 (cbrt.f64 y))))
14.0ms	(cbrt.f64 y)
14.0ms	(cbrt.f64 y)
3.0ms	(log.f64 (-.f64 1 y))

simplify36.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	4973	1035
1	4973	1035

prune135.0ms

Filtered

90 candidates to 103 candidates (-14.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	101	2	103
Fresh	0	5	5
Picked	1	0	1
Done	0	1	1
Total	102	8	110

Merged error: 0b

Counts

110 → 8

regimes429.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify5.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	233	24
1	233	24

end0.0ms

sample1.3s

Algorithm

intervals

Results

411.0ms	5890×	body	80	valid
280.0ms	787×	body	640	valid
190.0ms	281×	body	1280	valid
140.0ms	628×	body	320	valid
61.0ms	414×	body	160	valid
19.0ms	231×	body	80	nan
2.0ms	30×	body	80	invalid

Details

analyze329.0ms

sample51.0ms

simplify248.0ms

prune4.0ms

localize13.0ms

rewrite41.0ms

series45.0ms

simplify57.0ms

prune143.0ms

localize21.0ms

rewrite35.0ms

series33.0ms

simplify34.0ms

prune137.0ms

localize23.0ms

rewrite45.0ms

series47.0ms

simplify52.0ms

prune167.0ms

localize18.0ms

rewrite28.0ms

series67.0ms

simplify36.0ms

prune135.0ms

regimes429.0ms

bsearch0.0ms

simplify5.0ms

end0.0ms

sample1.3s

Profiling