Details

analyze56.0ms

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%	50%	12.6%	6
50%	37.5%	12.6%	7
56.2%	25%	18.8%	8
62.4%	18.7%	18.8%	9
65.6%	12.5%	22%	10
68.7%	9.4%	22%	11
70.2%	6.2%	23.5%	12
71.8%	4.7%	23.5%	13
72.6%	3.1%	24.3%	14

sample15.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	1×	body	80	invalid

simplify22.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (14.0ms)

Iter	Nodes	Cost
0	185	10
1	185	10

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: 0.1b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

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×	`sub-neg_binary64` `associate-*r/_binary64`
1×	`pow-prod-down_binary64` `add-log-exp_binary64` `flip3--_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:

6.0ms

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

series28.0ms

Counts

1 → 3

Calls

1 calls:

28.0ms

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

simplify79.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4880	308
1	4880	308

prune27.0ms

Filtered

16 candidates to 25 candidates (-56.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	18	7	25
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	18	8	26

Merged error: 0.0b

Counts

26 → 8

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b	(.f64 (cbrt.f64 (-.f64 1 (.f64 x y))) (cbrt.f64 (-.f64 1 (*.f64 x y))))
0.2b	(cbrt.f64 (-.f64 1 (*.f64 x y)))
0.2b	(cbrt.f64 (-.f64 1 (*.f64 x y)))
0.2b	(cbrt.f64 (-.f64 1 (*.f64 x y)))

rewrite21.0ms

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:

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

series679.0ms

Counts

4 → 12

Calls

4 calls:

215.0ms	(.f64 (cbrt.f64 (-.f64 1 (.f64 x y))) (cbrt.f64 (-.f64 1 (*.f64 x y))))
147.0ms	(cbrt.f64 (-.f64 1 (*.f64 x y)))
148.0ms	(cbrt.f64 (-.f64 1 (*.f64 x y)))
168.0ms	(cbrt.f64 (-.f64 1 (*.f64 x y)))

simplify91.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4941	2041
1	4941	2041

prune166.0ms

Filtered

80 candidates to 99 candidates (-23.8%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	95	4	99
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	97	10	107

Merged error: 0.0b

Counts

107 → 10

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt.f64 (-.f64 1 (*.f64 x y)))
0.2b	(cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x y))))
0.2b	(cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x y))))
0.3b	(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x y)))) 5)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod_binary64`
13×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
10×	`cbrt-div_binary64`
9×	`unpow-prod-down_binary64`
5×	`pow1_binary64` `add-exp-log_binary64`
4×	`add-log-exp_binary64` `pow1/3_binary64` `add-cbrt-cube_binary64`
3×	`pow-unpow_binary64` `flip3--_binary64` `flip--_binary64`
2×	`pow-pow_binary64`
1×	`pow-to-exp_binary64` `sqr-pow_binary64` `pow-exp_binary64`

Counts

4 → 69

Calls

4 calls:

3.0ms	(cbrt.f64 (-.f64 1 (*.f64 x y)))
3.0ms	(cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x y))))
5.0ms	(cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x y))))
10.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x y)))) 5)

series1.1s

Counts

4 → 12

Calls

4 calls:

155.0ms	(cbrt.f64 (-.f64 1 (*.f64 x y)))
151.0ms	(cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x y))))
158.0ms	(cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x y))))
622.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x y)))) 5)

simplify72.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5090	1736

prune132.0ms

Filtered

73 candidates to 81 candidates (-11.0%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	81	10	91

Merged error: 0.0b

Counts

91 → 10

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.5b	(cbrt.f64 x)
0.5b	(cbrt.f64 x)
0.5b	(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)

series358.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
86.0ms	(cbrt.f64 x)
86.0ms	(cbrt.f64 x)
88.0ms	(cbrt.f64 x)

simplify97.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4937	588
1	4937	588

prune52.0ms

Filtered

65 candidates to 85 candidates (-30.8%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	6	6
Picked	1	0	1
Done	0	3	3
Total	85	10	95

Merged error: 0.0b

Counts

95 → 10

regimes71.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	36	10
1	36	10

end0.0ms

sample325.0ms

Algorithm

intervals

Results

191.0ms	8000×	body	80	valid
2.0ms	82×	body	80	invalid

Details

analyze56.0ms

sample15.0ms

simplify22.0ms

prune1.0ms

localize4.0ms

rewrite6.0ms

series28.0ms

simplify79.0ms

prune27.0ms

localize8.0ms

rewrite21.0ms

series679.0ms

simplify91.0ms

prune166.0ms

localize19.0ms

rewrite24.0ms

series1.1s

simplify72.0ms

prune132.0ms

localize8.0ms

rewrite11.0ms

series358.0ms

simplify97.0ms

prune52.0ms

regimes71.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample325.0ms

Profiling