Details

analyze1.0s

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%	74.7%	25.3%	8
0%	74.7%	25.3%	9
0%	65.4%	34.6%	10
0%	51.4%	48.6%	11
0%	51.4%	48.6%	12
0%	51.4%	48.6%	13
0%	51.4%	48.6%	14

sample84.0ms

Algorithm

intervals

Results

24.0ms	256×	body	80	valid
22.0ms	324×	body	80	nan
4.0ms	46×	body	80	invalid

simplify32.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5223	21

prune6.0ms

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: 0.1b

Counts

2 → 1

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 (*.f64 x (log.f64 y)) z) t)
0.0b	(+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) z) t) a) (.f64 (-.f64 b 0.5) (log.f64 c)))
0.2b	(*.f64 (-.f64 b 0.5) (log.f64 c))
0.2b	(*.f64 x (log.f64 y))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-log-exp_binary64`
20×	`add-sqr-sqrt_binary64`
18×	`*-un-lft-identity_binary64` `log-prod_binary64`
14×	`add-cube-cbrt_binary64`
13×	`sum-log_binary64`
10×	`pow1_binary64`
9×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
8×	`associate-r_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
6×	`associate-+r+_binary64` `associate-*l/_binary64`
4×	`flip3-+_binary64` `frac-add_binary64` `flip-+_binary64`
3×	`flip3--_binary64` `flip--_binary64`
2×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `log-pow_binary64` `associate-+l+_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `*-commutative_binary64`
1×	`distribute-lft-out_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`

Counts

4 → 93

Calls

4 calls:

7.0ms	(+.f64 (+.f64 (*.f64 x (log.f64 y)) z) t)
16.0ms	(+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) z) t) a) (.f64 (-.f64 b 0.5) (log.f64 c)))
8.0ms	(*.f64 (-.f64 b 0.5) (log.f64 c))
5.0ms	(*.f64 x (log.f64 y))

series110.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(+.f64 (+.f64 (*.f64 x (log.f64 y)) z) t)
72.0ms	(+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) z) t) a) (.f64 (-.f64 b 0.5) (log.f64 c)))
11.0ms	(*.f64 (-.f64 b 0.5) (log.f64 c))
12.0ms	(*.f64 x (log.f64 y))

simplify49.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4981	1393
1	4981	1393

prune142.0ms

Filtered

72 candidates to 105 candidates (-45.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	99	6	105
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	100	6	106

Merged error: 0.0b

Counts

106 → 6

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b	(*.f64 x (log.f64 y))
0.3b	(+.f64 (.f64 (-.f64 b 0.5) (.f64 2 (log.f64 (cbrt.f64 c)))) (*.f64 (-.f64 b 0.5) (log.f64 (cbrt.f64 c))))
0.6b	(cbrt.f64 c)
0.6b	(cbrt.f64 c)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

42×	`log-prod_binary64`
33×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
24×	`associate-+l+_binary64` `add-sqr-sqrt_binary64` `cbrt-prod_binary64`
22×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
12×	`associate-+r+_binary64`
8×	`associate-*l/_binary64`
7×	`pow1_binary64`
6×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`flip3--_binary64` `associate-r_binary64` `frac-add_binary64` `flip--_binary64`
3×	`associate-l_binary64`
2×	`pow1/3_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `log-pow_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 99

Calls

4 calls:

5.0ms	(*.f64 x (log.f64 y))
16.0ms	(+.f64 (.f64 (-.f64 b 0.5) (.f64 2 (log.f64 (cbrt.f64 c)))) (*.f64 (-.f64 b 0.5) (log.f64 (cbrt.f64 c))))
1.0ms	(cbrt.f64 c)
1.0ms	(cbrt.f64 c)

series94.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(*.f64 x (log.f64 y))
43.0ms	(+.f64 (.f64 (-.f64 b 0.5) (.f64 2 (log.f64 (cbrt.f64 c)))) (*.f64 (-.f64 b 0.5) (log.f64 (cbrt.f64 c))))
23.0ms	(cbrt.f64 c)
19.0ms	(cbrt.f64 c)

simplify35.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5561	1081

prune158.0ms

Filtered

95 candidates to 111 candidates (-16.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	111	0	111
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	111	6	117

Merged error: 0.0b

Counts

117 → 6

localize26.0ms

Local error

Found 4 expressions with local error:

0.3b	(.f64 x (.f64 2 (log.f64 (cbrt.f64 y))))
0.3b	(*.f64 x (log.f64 (cbrt.f64 y)))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

36×	`log-prod_binary64`
30×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
24×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
21×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
12×	`pow1_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`associate-r_binary64` `associate-l_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
3×	`pow1/3_binary64`
2×	`log-pow_binary64` `*-commutative_binary64`
1×	`unswap-sqr_binary64`

Counts

4 → 96

Calls

4 calls:

7.0ms	(.f64 x (.f64 2 (log.f64 (cbrt.f64 y))))
6.0ms	(*.f64 x (log.f64 (cbrt.f64 y)))
1.0ms	(cbrt.f64 y)
2.0ms	(cbrt.f64 y)

series88.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(.f64 x (.f64 2 (log.f64 (cbrt.f64 y))))
26.0ms	(*.f64 x (log.f64 (cbrt.f64 y)))
18.0ms	(cbrt.f64 y)
19.0ms	(cbrt.f64 y)

simplify45.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5306	858

prune119.0ms

Filtered

65 candidates to 108 candidates (-66.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	107	1	108
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	107	7	114

Merged error: 0.0b

Counts

114 → 7

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 (.f64 (-.f64 b 0.5) (log.f64 (sqrt.f64 c))) (+.f64 a (+.f64 t (+.f64 (.f64 x (log.f64 y)) z)))) (*.f64 (-.f64 b 0.5) (log.f64 (sqrt.f64 c))))
0.2b	(*.f64 (-.f64 b 0.5) (log.f64 (sqrt.f64 c)))
0.2b	(*.f64 (-.f64 b 0.5) (log.f64 (sqrt.f64 c)))
0.2b	(*.f64 x (log.f64 y))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

42×	`log-prod_binary64`
34×	`add-sqr-sqrt_binary64`
28×	`*-un-lft-identity_binary64`
24×	`add-log-exp_binary64` `add-cube-cbrt_binary64` `associate-*l/_binary64`
21×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
20×	`frac-add_binary64`
18×	`sqrt-prod_binary64`
16×	`associate-r_binary64`
15×	`pow1_binary64` `sum-log_binary64`
13×	`associate-l_binary64`
12×	`flip3--_binary64` `flip--_binary64` `associate-+r+_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`flip3-+_binary64` `log-pow_binary64` `flip-+_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
1×	`associate-+l+_binary64` `+-commutative_binary64`

Counts

4 → 139

Calls

4 calls:

24.0ms	(+.f64 (+.f64 (.f64 (-.f64 b 0.5) (log.f64 (sqrt.f64 c))) (+.f64 a (+.f64 t (+.f64 (.f64 x (log.f64 y)) z)))) (*.f64 (-.f64 b 0.5) (log.f64 (sqrt.f64 c))))
10.0ms	(*.f64 (-.f64 b 0.5) (log.f64 (sqrt.f64 c)))
9.0ms	(*.f64 (-.f64 b 0.5) (log.f64 (sqrt.f64 c)))
5.0ms	(*.f64 x (log.f64 y))

series141.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(+.f64 (+.f64 (.f64 (-.f64 b 0.5) (log.f64 (sqrt.f64 c))) (+.f64 a (+.f64 t (+.f64 (.f64 x (log.f64 y)) z)))) (*.f64 (-.f64 b 0.5) (log.f64 (sqrt.f64 c))))
9.0ms	(*.f64 (-.f64 b 0.5) (log.f64 (sqrt.f64 c)))
9.0ms	(*.f64 (-.f64 b 0.5) (log.f64 (sqrt.f64 c)))
8.0ms	(*.f64 x (log.f64 y))

simplify65.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4935	3140
1	4935	3140

prune139.0ms

Filtered

96 candidates to 151 candidates (-57.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	151	0	151
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	151	7	158

Merged error: 0.0b

Counts

158 → 7

regimes1.4s

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	46	32
1	46	32

end0.0ms

sample2.2s

Algorithm

intervals

Results

685.0ms	9850×	body	80	nan
629.0ms	7996×	body	80	valid
97.0ms	1279×	body	80	invalid
1.0ms	2×	body	640	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	160	valid

Details

analyze1.0s

sample84.0ms

simplify32.0ms

prune6.0ms

localize18.0ms

rewrite38.0ms

series110.0ms

simplify49.0ms

prune142.0ms

localize25.0ms

rewrite27.0ms

series94.0ms

simplify35.0ms

prune158.0ms

localize26.0ms

rewrite19.0ms

series88.0ms

simplify45.0ms

prune119.0ms

localize23.0ms

rewrite54.0ms

series141.0ms

simplify65.0ms

prune139.0ms

regimes1.4s

bsearch0.0ms

simplify2.0ms

end0.0ms

sample2.2s

Profiling