Details

analyze61.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
37.5%	62.4%	0.1%	6
50%	37.5%	12.6%	7
56.2%	31.2%	12.6%	8
62.4%	18.7%	18.8%	9
65.6%	15.6%	18.8%	10
68.7%	9.4%	22%	11
70.2%	7.8%	22%	12
71.8%	4.7%	23.5%	13
72.6%	3.9%	23.5%	14

sample16.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
0.0ms	2×	body	80	invalid

simplify16.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (13.0ms)

Iter	Nodes	Cost
0	267	7
1	267	7

prune2.0ms

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

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b	(.f64 (.f64 x y) (-.f64 1 y))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1_binary64` `associate-r_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
2×	`sub-neg_binary64` `associate-*r/_binary64` `add-cube-cbrt_binary64` `difference-of-squares_binary64`
1×	`add-log-exp_binary64` `flip3--_binary64` `distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

1 → 25

Calls

1 calls:

8.0ms

(*.f64 (*.f64 x y) (-.f64 1 y))

series10.0ms

Counts

1 → 3

Calls

1 calls:

10.0ms

(*.f64 (*.f64 x y) (-.f64 1 y))

simplify74.0ms

Algorithm

egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	5133	213

prune30.0ms

Filtered

16 candidates to 28 candidates (-75.0%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	20	8	28
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	21	8	29

Merged error: 0.0b

Counts

29 → 8

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b	(.f64 (.f64 x y) (neg.f64 y))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

10×	`associate-r_binary64`
6×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-lft-neg-in_binary64` `distribute-rgt-neg-in_binary64` `prod-exp_binary64`
1×	`add-log-exp_binary64` `distribute-rgt-neg-out_binary64` `neg-mul-1_binary64` `associate-l_binary64` `*-commutative_binary64`

Counts

1 → 26

Calls

1 calls:

7.0ms

(*.f64 (*.f64 x y) (neg.f64 y))

series9.0ms

Counts

1 → 3

Calls

1 calls:

9.0ms

(*.f64 (*.f64 x y) (neg.f64 y))

simplify77.0ms

Algorithm

egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4783	189
1	4783	189

prune19.0ms

Filtered

17 candidates to 29 candidates (-70.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	29	0	29
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	29	8	37

Merged error: 0.0b

Counts

37 → 8

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 (.f64 x y) (-.f64 1 y))) (cbrt.f64 (.f64 (*.f64 x y) (-.f64 1 y))))
9.5b	(cbrt.f64 (.f64 (.f64 x y) (-.f64 1 y)))
9.5b	(cbrt.f64 (.f64 (.f64 x y) (-.f64 1 y)))
9.5b	(cbrt.f64 (.f64 (.f64 x y) (-.f64 1 y)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

10.0ms	(.f64 (cbrt.f64 (.f64 (.f64 x y) (-.f64 1 y))) (cbrt.f64 (.f64 (*.f64 x y) (-.f64 1 y))))
7.0ms	(cbrt.f64 (.f64 (.f64 x y) (-.f64 1 y)))
6.0ms	(cbrt.f64 (.f64 (.f64 x y) (-.f64 1 y)))
6.0ms	(cbrt.f64 (.f64 (.f64 x y) (-.f64 1 y)))

series84.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(.f64 (cbrt.f64 (.f64 (.f64 x y) (-.f64 1 y))) (cbrt.f64 (.f64 (*.f64 x y) (-.f64 1 y))))
18.0ms	(cbrt.f64 (.f64 (.f64 x y) (-.f64 1 y)))
18.0ms	(cbrt.f64 (.f64 (.f64 x y) (-.f64 1 y)))
19.0ms	(cbrt.f64 (.f64 (.f64 x y) (-.f64 1 y)))

simplify71.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5364	1048

prune71.0ms

Filtered

66 candidates to 84 candidates (-27.3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	83	9	92

Merged error: 0b

Counts

92 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 (.f64 x y) (-.f64 1 y))) (cbrt.f64 (.f64 (*.f64 x y) (-.f64 1 y))))
9.5b	(cbrt.f64 (.f64 (.f64 x y) (-.f64 1 y)))
9.5b	(cbrt.f64 (.f64 (.f64 x y) (-.f64 1 y)))
9.6b	(cbrt.f64 (*.f64 x y))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

10.0ms	(.f64 (cbrt.f64 (.f64 (.f64 x y) (-.f64 1 y))) (cbrt.f64 (.f64 (*.f64 x y) (-.f64 1 y))))
6.0ms	(cbrt.f64 (.f64 (.f64 x y) (-.f64 1 y)))
7.0ms	(cbrt.f64 (.f64 (.f64 x y) (-.f64 1 y)))
3.0ms	(cbrt.f64 (*.f64 x y))

series78.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(.f64 (cbrt.f64 (.f64 (.f64 x y) (-.f64 1 y))) (cbrt.f64 (.f64 (*.f64 x y) (-.f64 1 y))))
18.0ms	(cbrt.f64 (.f64 (.f64 x y) (-.f64 1 y)))
18.0ms	(cbrt.f64 (.f64 (.f64 x y) (-.f64 1 y)))
14.0ms	(cbrt.f64 (*.f64 x y))

simplify69.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5082	946

prune55.0ms

Filtered

62 candidates to 82 candidates (-32.3%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	82	9	91

Merged error: 0b

Counts

91 → 9

regimes134.0ms

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	43	9
1	43	9

end0.0ms

sample309.0ms

Algorithm

intervals

Results

180.0ms	8000×	body	80	valid
3.0ms	156×	body	80	invalid

Details

analyze61.0ms

sample16.0ms

simplify16.0ms

prune2.0ms

localize5.0ms

rewrite9.0ms

series10.0ms

simplify74.0ms

prune30.0ms

localize5.0ms

rewrite8.0ms

series9.0ms

simplify77.0ms

prune19.0ms

localize8.0ms

rewrite32.0ms

series84.0ms

simplify71.0ms

prune71.0ms

localize12.0ms

rewrite27.0ms

series78.0ms

simplify69.0ms

prune55.0ms

regimes134.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample309.0ms

Profiling