Details

analyze769.0ms

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%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
18.7%	81.1%	0.2%	10
26.5%	71.5%	1.9%	11
28.8%	66%	5.2%	12
32.7%	58.7%	8.5%	13
41.9%	48.4%	9.7%	14

sample24.0ms

Algorithm

intervals

Results

9.0ms	247×	body	80	valid
2.0ms	66×	body	80	invalid
1.0ms	5×	body	320	valid
0.0ms	2×	body	1280	valid
0.0ms	2×	body	640	valid

simplify21.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (12.0ms)

Iter	Nodes	Cost
0	400	19
1	400	19

prune8.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.1b

Counts

2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5))
0.0b	(.f64 x (+.f64 (.f64 (+.f64 y z) 2) t))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64`
4×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-r_binary64` `associate-l_binary64`
2×	`flip3-+_binary64` `associate-*r/_binary64` `associate-+l+_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `flip-+_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 35

Calls

2 calls:

11.0ms	(+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5))
10.0ms	(.f64 x (+.f64 (.f64 (+.f64 y z) 2) t))

series88.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5))
40.0ms	(.f64 x (+.f64 (.f64 (+.f64 y z) 2) t))

simplify73.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5529	763

prune45.0ms

Filtered

31 candidates to 41 candidates (-32.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	35	6	41
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	36	6	42

Merged error: 0.0b

Counts

42 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series364.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
85.0ms	(cbrt.f64 x)
86.0ms	(cbrt.f64 x)
90.0ms	(cbrt.f64 x)

simplify101.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	4937	588
1	4937	588

prune76.0ms

Filtered

65 candidates to 85 candidates (-30.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	85	6	91

Merged error: 0.0b

Counts

91 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (.f64 y 5))) (cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5))))
0.6b	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))
0.6b	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))
0.6b	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`flip3-+_binary64` `pow1/3_binary64` `flip-+_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-r/_binary64` `pow-sqr_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 87

Calls

4 calls:

25.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (.f64 y 5))) (cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5))))
10.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))
11.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))
13.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))

series1.4s

Counts

4 → 12

Calls

4 calls:

611.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (.f64 y 5))) (cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5))))
267.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))
263.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))
261.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))

simplify112.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4950	3884
1	4950	3884

prune198.0ms

Filtered

80 candidates to 99 candidates (-23.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	97	8	105

Merged error: 0.0b

Counts

105 → 8

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(.f64 x (+.f64 (.f64 (+.f64 y z) 2) t))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt_binary64`
3×	`-un-lft-identity_binary64` `pow1_binary64` `associate-r_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l*_binary64`
2×	`associate-*r/_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip-+_binary64` `*-commutative_binary64`

Counts

1 → 22

Calls

1 calls:

11.0ms

(*.f64 x (+.f64 (*.f64 (+.f64 y z) 2) t))

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

(*.f64 x (+.f64 (*.f64 (+.f64 y z) 2) t))

simplify85.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4996	385
1	4996	385

prune17.0ms

Filtered

17 candidates to 25 candidates (-47.1%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	25	0	25
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	25	8	33

Merged error: 0.0b

Counts

33 → 8

regimes93.0ms

Accuracy

0% (0.8b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 0.9b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	31
1	23	31

end0.0ms

sample674.0ms

Algorithm

intervals

Results

302.0ms	7708×	body	80	valid
76.0ms	1942×	body	80	invalid
20.0ms	120×	body	640	valid
14.0ms	78×	body	1280	valid
7.0ms	62×	body	320	valid
2.0ms	32×	body	160	valid

Details

analyze769.0ms

sample24.0ms

simplify21.0ms

prune8.0ms

localize10.0ms

rewrite22.0ms

series88.0ms

simplify73.0ms

prune45.0ms

localize13.0ms

rewrite11.0ms

series364.0ms

simplify101.0ms

prune76.0ms

localize14.0ms

rewrite61.0ms

series1.4s

simplify112.0ms

prune198.0ms

localize7.0ms

rewrite11.0ms

series41.0ms

simplify85.0ms

prune17.0ms

regimes93.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample674.0ms

Profiling