Details

analyze319.0ms

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%	20.5%	73.5%	11
6.1%	20.4%	73.5%	12
7.7%	18.8%	73.5%	13
9.1%	16.6%	74.3%	14

sample50.0ms

Algorithm

intervals

Results

13.0ms	170×	body	80	valid
10.0ms	29×	body	640	valid
9.0ms	13×	body	1280	valid
5.0ms	23×	body	320	valid
3.0ms	21×	body	160	valid
1.0ms	16×	body	80	nan
0.0ms	1×	body	80	invalid

simplify41.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	658	20
1	658	20

prune1.0ms

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: 11.2b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y))))
0.0b	(*.f64 z (log.f64 (-.f64 1 y)))
0.3b	(*.f64 x (log.f64 y))
8.5b	(log.f64 (-.f64 1 y))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

42×	`log-prod_binary64`
36×	`add-sqr-sqrt_binary64`
32×	`*-un-lft-identity_binary64`
18×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
17×	`add-cube-cbrt_binary64`
12×	`associate-+r+_binary64`
11×	`pow1_binary64`
10×	`difference-of-squares_binary64`
9×	`add-exp-log_binary64`
8×	`associate-r_binary64` `add-cbrt-cube_binary64`
6×	`add-log-exp_binary64` `associate-+l+_binary64` `associate-l_binary64`
5×	`distribute-lft-out--_binary64`
3×	`log-pow_binary64`
2×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `log-div_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `flip3--_binary64` `rem-log-exp_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

4 → 102

Calls

4 calls:

8.0ms	(+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y))))
7.0ms	(*.f64 z (log.f64 (-.f64 1 y)))
5.0ms	(*.f64 x (log.f64 y))
4.0ms	(log.f64 (-.f64 1 y))

series136.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y))))
39.0ms	(*.f64 z (log.f64 (-.f64 1 y)))
30.0ms	(*.f64 x (log.f64 y))
14.0ms	(log.f64 (-.f64 1 y))

simplify136.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (112.0ms)

Iter	Nodes	Cost
0	4910	1694
1	4910	1694

prune105.0ms

Filtered

81 candidates to 114 candidates (-40.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	107	7	114
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	108	7	115

Merged error: 0.1b

Counts

115 → 7

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64`
16×	`pow1_binary64`
15×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
13×	`-un-lft-identity_binary64` `associate-r*_binary64` `add-cube-cbrt_binary64`
10×	`associate-l_binary64`
9×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
8×	`sub-neg_binary64`
6×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `log-prod_binary64` `prod-exp_binary64`
4×	`add-log-exp_binary64` `associate-r/_binary64` `unswap-sqr_binary64` `associate--l+_binary64` `-commutative_binary64`
2×	`flip3--_binary64` `flip--_binary64`
1×	`log-pow_binary64`

Counts

4 → 92

Calls

4 calls:

14.0ms	(.f64 z (-.f64 (.f64 (.f64 y y) (-.f64 (.f64 y -1/3) 1/2)) y))
9.0ms	(.f64 (.f64 y y) (-.f64 (*.f64 y -1/3) 1/2))
4.0ms	(*.f64 x (log.f64 y))
4.0ms	(*.f64 y -1/3)

series160.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(.f64 z (-.f64 (.f64 (.f64 y y) (-.f64 (.f64 y -1/3) 1/2)) y))
48.0ms	(.f64 (.f64 y y) (-.f64 (*.f64 y -1/3) 1/2))
32.0ms	(*.f64 x (log.f64 y))
13.0ms	(*.f64 y -1/3)

simplify66.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5100	1436

prune90.0ms

Filtered

63 candidates to 104 candidates (-65.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	102	2	104
Fresh	0	6	6
Picked	1	0	1
Done	0	0	0
Total	103	8	111

Merged error: 0.1b

Counts

111 → 8

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(.f64 (.f64 y y) (-.f64 (*.f64 y -1/3) 1/2))
0.3b	(*.f64 x (log.f64 y))
0.3b	(*.f64 y -1/3)
6.7b	(.f64 (.f64 (.f64 y y) (-.f64 (.f64 y -1/3) 1/2)) z)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1_binary64`
22×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
17×	`add-sqr-sqrt_binary64`
13×	`associate-r_binary64`
12×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
8×	`associate-l_binary64`
6×	`log-prod_binary64`
4×	`add-log-exp_binary64` `associate-r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `-commutative_binary64`
3×	`unswap-sqr_binary64`
2×	`sub-neg_binary64` `flip3--_binary64` `flip--_binary64` `associate-*l/_binary64`
1×	`log-pow_binary64`

Counts

4 → 89

Calls

4 calls:

9.0ms	(.f64 (.f64 y y) (-.f64 (*.f64 y -1/3) 1/2))
4.0ms	(*.f64 x (log.f64 y))
4.0ms	(*.f64 y -1/3)
15.0ms	(.f64 (.f64 (.f64 y y) (-.f64 (.f64 y -1/3) 1/2)) z)

series145.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(.f64 (.f64 y y) (-.f64 (*.f64 y -1/3) 1/2))
33.0ms	(*.f64 x (log.f64 y))
12.0ms	(*.f64 y -1/3)
41.0ms	(.f64 (.f64 (.f64 y y) (-.f64 (.f64 y -1/3) 1/2)) z)

simplify90.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5178	1240

prune74.0ms

Filtered

59 candidates to 101 candidates (-71.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	101	8	109

Merged error: 0.1b

Counts

109 → 8

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b	(*.f64 y -1/3)
0.3b	(*.f64 y -1/3)
6.8b	(.f64 z (-.f64 (.f64 (-.f64 (.f64 y -1/3) 1/2) (.f64 (-.f64 (.f64 y -1/3) 1/2) (pow.f64 y 4))) (.f64 y y)))
15.8b	(/.f64 (.f64 z (-.f64 (.f64 (-.f64 (.f64 y -1/3) 1/2) (.f64 (-.f64 (.f64 y -1/3) 1/2) (pow.f64 y 4))) (.f64 y y))) (+.f64 (.f64 (.f64 y y) (-.f64 (*.f64 y -1/3) 1/2)) y))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64`
15×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
10×	`pow1_binary64`
9×	`associate-r_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `cbrt-unprod_binary64` `associate-*r/_binary64` `prod-exp_binary64`
3×	`pow-prod-down_binary64` `associate-/r_binary64` `unswap-sqr_binary64` `times-frac_binary64` `-commutative_binary64`
2×	`associate-/l/_binary64` `sub-neg_binary64` `flip3--_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `div-exp_binary64` `flip--_binary64`
1×	`flip3-+_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64` `flip-+_binary64`

Counts

4 → 83

Calls

4 calls:

4.0ms	(*.f64 y -1/3)
4.0ms	(*.f64 y -1/3)
17.0ms	(.f64 z (-.f64 (.f64 (-.f64 (.f64 y -1/3) 1/2) (.f64 (-.f64 (.f64 y -1/3) 1/2) (pow.f64 y 4))) (.f64 y y)))
27.0ms	(/.f64 (.f64 z (-.f64 (.f64 (-.f64 (.f64 y -1/3) 1/2) (.f64 (-.f64 (.f64 y -1/3) 1/2) (pow.f64 y 4))) (.f64 y y))) (+.f64 (.f64 (.f64 y y) (-.f64 (*.f64 y -1/3) 1/2)) y))

series356.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(*.f64 y -1/3)
13.0ms	(*.f64 y -1/3)
110.0ms	(.f64 z (-.f64 (.f64 (-.f64 (.f64 y -1/3) 1/2) (.f64 (-.f64 (.f64 y -1/3) 1/2) (pow.f64 y 4))) (.f64 y y)))
219.0ms	(/.f64 (.f64 z (-.f64 (.f64 (-.f64 (.f64 y -1/3) 1/2) (.f64 (-.f64 (.f64 y -1/3) 1/2) (pow.f64 y 4))) (.f64 y y))) (+.f64 (.f64 (.f64 y y) (-.f64 (*.f64 y -1/3) 1/2)) y))

simplify91.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5068	2504

prune138.0ms

Filtered

65 candidates to 95 candidates (-46.2%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	94	1	95
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	94	9	103

Merged error: 0.1b

Counts

103 → 9

regimes90.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	66	33
1	66	33

end0.0ms

sample1.5s

Algorithm

intervals

Results

364.0ms	5453×	body	80	valid
341.0ms	949×	body	640	valid
264.0ms	394×	body	1280	valid
167.0ms	739×	body	320	valid
67.0ms	465×	body	160	valid
16.0ms	248×	body	80	nan
3.0ms	41×	body	80	invalid

Details

analyze319.0ms

sample50.0ms

simplify41.0ms

prune1.0ms

localize11.0ms

rewrite27.0ms

series136.0ms

simplify136.0ms

prune105.0ms

localize17.0ms

rewrite34.0ms

series160.0ms

simplify66.0ms

prune90.0ms

localize29.0ms

rewrite35.0ms

series145.0ms

simplify90.0ms

prune74.0ms

localize23.0ms

rewrite53.0ms

series356.0ms

simplify91.0ms

prune138.0ms

regimes90.0ms

bsearch0.0ms

simplify4.0ms

end0.0ms

sample1.5s

Profiling