Details

analyze10.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
12.5%	25%	62.5%	4
18.7%	12.5%	68.8%	5
21.9%	6.2%	71.9%	6
23.4%	3.1%	73.5%	7
24.2%	1.6%	74.2%	8
24.6%	0.8%	74.6%	9
24.8%	0.4%	74.8%	10
24.9%	0.2%	74.9%	11
24.9%	0.1%	75%	12
25%	0%	75%	13
25%	0%	75%	14

sample18.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify545.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (118.0ms)

Iter	Nodes	Cost
0	5180	7

prune4.0ms

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: 0.0b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (/.f64 1.0 x) 1.0)
0.0b	(log.f64 (-.f64 (/.f64 1.0 x) 1.0))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64`
7×	`*-un-lft-identity_binary64`
6×	`log-prod_binary64`
4×	`add-log-exp_binary64` `difference-of-squares_binary64`
3×	`pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64`
2×	`flip3--_binary64` `add-cbrt-cube_binary64` `distribute-lft-out--_binary64` `times-frac_binary64` `log-div_binary64` `flip--_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `rem-log-exp_binary64` `log-pow_binary64`

Counts

2 → 31

Calls

2 calls:

8.0ms	(-.f64 (/.f64 1.0 x) 1.0)
19.0ms	(log.f64 (-.f64 (/.f64 1.0 x) 1.0))

series19.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(-.f64 (/.f64 1.0 x) 1.0)
15.0ms	(log.f64 (-.f64 (/.f64 1.0 x) 1.0))

simplify40.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4961	369
1	4961	369

prune46.0ms

Filtered

28 candidates to 37 candidates (-32.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	36	1	37
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	36	2	38

Merged error: 0.0b

Counts

38 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(log.f64 (sqrt.f64 (-.f64 (/.f64 1.0 x) 1.0)))
0.0b	(log.f64 (sqrt.f64 (-.f64 (/.f64 1.0 x) 1.0)))
0.1b	(sqrt.f64 (-.f64 (/.f64 1.0 x) 1.0))
0.1b	(sqrt.f64 (-.f64 (/.f64 1.0 x) 1.0))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt_binary64`
24×	`sqrt-prod_binary64`
18×	`*-un-lft-identity_binary64` `log-prod_binary64`
10×	`pow1_binary64` `add-cube-cbrt_binary64`
8×	`difference-of-squares_binary64` `sqrt-div_binary64`
6×	`log-pow_binary64` `add-exp-log_binary64`
4×	`add-log-exp_binary64` `pow1/2_binary64` `flip3--_binary64` `add-cbrt-cube_binary64` `sqrt-pow1_binary64` `distribute-lft-out--_binary64` `times-frac_binary64` `log-div_binary64` `flip--_binary64`
2×	`rem-log-exp_binary64` `rem-sqrt-square_binary64`

Counts

4 → 80

Calls

4 calls:

8.0ms	(log.f64 (sqrt.f64 (-.f64 (/.f64 1.0 x) 1.0)))
8.0ms	(log.f64 (sqrt.f64 (-.f64 (/.f64 1.0 x) 1.0)))
7.0ms	(sqrt.f64 (-.f64 (/.f64 1.0 x) 1.0))
8.0ms	(sqrt.f64 (-.f64 (/.f64 1.0 x) 1.0))

series26.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(log.f64 (sqrt.f64 (-.f64 (/.f64 1.0 x) 1.0)))
8.0ms	(log.f64 (sqrt.f64 (-.f64 (/.f64 1.0 x) 1.0)))
5.0ms	(sqrt.f64 (-.f64 (/.f64 1.0 x) 1.0))
6.0ms	(sqrt.f64 (-.f64 (/.f64 1.0 x) 1.0))

simplify66.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4923	1140
1	4923	1140

prune115.0ms

Filtered

68 candidates to 92 candidates (-35.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	91	1	92
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	92	2	94

Merged error: 0b

Counts

94 → 2

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (cbrt.f64 (-.f64 (/.f64 1.0 x) 1.0)))
0.3b	(*.f64 (fabs.f64 (cbrt.f64 (-.f64 (/.f64 1.0 x) 1.0))) (sqrt.f64 (cbrt.f64 (-.f64 (/.f64 1.0 x) 1.0))))
0.5b	(cbrt.f64 (-.f64 (/.f64 1.0 x) 1.0))
0.5b	(cbrt.f64 (-.f64 (/.f64 1.0 x) 1.0))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt_binary64`
26×	`cbrt-prod_binary64`
20×	`*-un-lft-identity_binary64` `sqrt-prod_binary64`
12×	`associate-r_binary64` `add-cube-cbrt_binary64`
8×	`cbrt-div_binary64` `difference-of-squares_binary64`
7×	`pow1_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `flip3--_binary64` `distribute-lft-out--_binary64` `times-frac_binary64` `flip--_binary64` `sqrt-div_binary64`
3×	`pow1/3_binary64` `associate-l_binary64` `unswap-sqr_binary64`
2×	`associate-*r/_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64`
1×	`pow-prod-down_binary64` `pow1/2_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

4 → 86

Calls

4 calls:

8.0ms	(sqrt.f64 (cbrt.f64 (-.f64 (/.f64 1.0 x) 1.0)))
13.0ms	(*.f64 (fabs.f64 (cbrt.f64 (-.f64 (/.f64 1.0 x) 1.0))) (sqrt.f64 (cbrt.f64 (-.f64 (/.f64 1.0 x) 1.0))))
7.0ms	(cbrt.f64 (-.f64 (/.f64 1.0 x) 1.0))
7.0ms	(cbrt.f64 (-.f64 (/.f64 1.0 x) 1.0))

series57.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(sqrt.f64 (cbrt.f64 (-.f64 (/.f64 1.0 x) 1.0)))
25.0ms	(*.f64 (fabs.f64 (cbrt.f64 (-.f64 (/.f64 1.0 x) 1.0))) (sqrt.f64 (cbrt.f64 (-.f64 (/.f64 1.0 x) 1.0))))
10.0ms	(cbrt.f64 (-.f64 (/.f64 1.0 x) 1.0))
11.0ms	(cbrt.f64 (-.f64 (/.f64 1.0 x) 1.0))

simplify59.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4959	1569
1	4959	1569

prune179.0ms

Filtered

83 candidates to 98 candidates (-18.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	98	2	100

Merged error: 0b

Counts

100 → 2

regimes149.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	46	25
1	46	25

end0.0ms

sample362.0ms

Algorithm

intervals

Results

269.0ms	8000×	body	80	valid
0.0ms	2×	body	80	nan

Details

analyze10.0ms

sample18.0ms

simplify545.0ms

prune4.0ms

localize8.0ms

rewrite30.0ms

series19.0ms

simplify40.0ms

prune46.0ms

localize9.0ms

rewrite34.0ms

series26.0ms

simplify66.0ms

prune115.0ms

localize15.0ms

rewrite39.0ms

series57.0ms

simplify59.0ms

prune179.0ms

regimes149.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample362.0ms

Profiling