Details

analyze34.0ms

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
25%	74.9%	0.1%	4
37.5%	62.4%	0.1%	5
62.4%	37.5%	0.1%	6
87.4%	12.5%	0.1%	7
87.4%	12.5%	0.1%	8
93.7%	6.2%	0.1%	9
93.7%	6.2%	0.1%	10
96.8%	3.1%	0.1%	11
96.8%	3.1%	0.1%	12
98.3%	1.6%	0.1%	13
98.3%	1.6%	0.1%	14

sample16.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify479.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	781	7
1	781	7

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: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (+.f64 f n) (-.f64 n f))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity_binary64`
22×	`add-sqr-sqrt_binary64`
20×	`times-frac_binary64`
12×	`add-cube-cbrt_binary64`
6×	`distribute-lft-out_binary64`
5×	`associate-/r*_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
4×	`associate-/l*_binary64`
3×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`associate-/l/_binary64` `associate-/r/_binary64`
1×	`flip3-+_binary64` `add-log-exp_binary64` `pow1_binary64` `flip3--_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64` `flip-+_binary64`

Counts

1 → 45

Calls

1 calls:

10.0ms

(/.f64 (+.f64 f n) (-.f64 n f))

series19.0ms

Counts

1 → 3

Calls

1 calls:

18.0ms

(/.f64 (+.f64 f n) (-.f64 n f))

simplify80.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4916	532
1	4916	532

prune34.0ms

Filtered

32 candidates to 48 candidates (-50.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	45	3	48
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	45	4	49

Merged error: 0.0b

Counts

49 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (+.f64 f n))
0.6b	(cbrt.f64 (-.f64 n f))
0.6b	(cbrt.f64 (-.f64 n f))
0.6b	(cbrt.f64 (-.f64 n f))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

19×	`cbrt-prod_binary64`
16×	`*-un-lft-identity_binary64`
14×	`add-sqr-sqrt_binary64`
8×	`cbrt-div_binary64` `add-cube-cbrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`flip3--_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64`
1×	`flip3-+_binary64` `distribute-lft-out_binary64` `flip-+_binary64`

Counts

4 → 59

Calls

4 calls:

3.0ms	(cbrt.f64 (+.f64 f n))
3.0ms	(cbrt.f64 (-.f64 n f))
3.0ms	(cbrt.f64 (-.f64 n f))
3.0ms	(cbrt.f64 (-.f64 n f))

series113.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(cbrt.f64 (+.f64 f n))
26.0ms	(cbrt.f64 (-.f64 n f))
29.0ms	(cbrt.f64 (-.f64 n f))
27.0ms	(cbrt.f64 (-.f64 n f))

simplify72.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5141	585

prune41.0ms

Filtered

64 candidates to 71 candidates (-10.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	70	1	71
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	70	5	75

Merged error: 0b

Counts

75 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
0.0b	(cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
0.0b	(cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
0.0b	(cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

306×	`*-un-lft-identity_binary64`
238×	`cbrt-prod_binary64`
190×	`times-frac_binary64`
174×	`add-sqr-sqrt_binary64`
86×	`add-cube-cbrt_binary64`
53×	`distribute-lft-out_binary64`
51×	`swap-sqr_binary64`
44×	`distribute-lft-out--_binary64`
32×	`difference-of-squares_binary64`
29×	`associate-r_binary64` `associate-l_binary64`
14×	`associate-/r/_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64` `unswap-sqr_binary64`
7×	`cbrt-div_binary64` `flip3--_binary64` `div-inv_binary64` `flip--_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `associate-r/_binary64` `pow-plus_binary64` `prod-exp_binary64` `frac-times_binary64` `pow2_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 244

Calls

4 calls:

35.0ms	(*.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
7.0ms	(cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
7.0ms	(cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
7.0ms	(cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))

series103.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(*.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
24.0ms	(cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
27.0ms	(cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
24.0ms	(cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))

simplify73.0ms

Algorithm

egg-herbie

Counts

256 → 256

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5388	4534

prune79.0ms

Filtered

151 candidates to 256 candidates (-69.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	255	1	256
Fresh	1	1	2
Picked	1	0	1
Done	0	2	2
Total	257	4	261

Merged error: 0b

Counts

261 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
0.0b	(cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
0.0b	(cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
0.1b	(pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 6)

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

123×	`*-un-lft-identity_binary64`
81×	`add-sqr-sqrt_binary64`
80×	`times-frac_binary64`
78×	`cbrt-prod_binary64`
47×	`add-cube-cbrt_binary64`
29×	`unpow-prod-down_binary64`
21×	`distribute-lft-out_binary64`
17×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
8×	`associate-/r/_binary64`
7×	`add-exp-log_binary64`
6×	`add-cbrt-cube_binary64`
5×	`associate-/r*_binary64` `pow1_binary64`
4×	`add-log-exp_binary64` `flip3--_binary64` `associate-/l*_binary64` `div-inv_binary64` `flip--_binary64`
3×	`pow-unpow_binary64` `pow1/3_binary64`
2×	`cbrt-div_binary64` `associate-/l/_binary64` `pow-pow_binary64`
1×	`pow-to-exp_binary64` `flip3-+_binary64` `cbrt-undiv_binary64` `sqr-pow_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-exp_binary64` `flip-+_binary64` `pow-exp_binary64`

Counts

4 → 159

Calls

4 calls:

8.0ms	(/.f64 (+.f64 f n) (-.f64 n f))
10.0ms	(cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
7.0ms	(cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
11.0ms	(pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 6)

series295.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(/.f64 (+.f64 f n) (-.f64 n f))
23.0ms	(cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
25.0ms	(cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
237.0ms	(pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 6)

simplify54.0ms

Algorithm

egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5235	2265

prune66.0ms

Filtered

110 candidates to 171 candidates (-55.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	171	0	171
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	171	4	175

Merged error: 0b

Counts

175 → 4

regimes59.0ms

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	16	7
1	16	7

end0.0ms

sample338.0ms

Algorithm

intervals

Results

207.0ms

8000×

body

valid

Details

analyze34.0ms

sample16.0ms

simplify479.0ms

prune8.0ms

localize6.0ms

rewrite13.0ms

series19.0ms

simplify80.0ms

prune34.0ms

localize13.0ms

rewrite15.0ms

series113.0ms

simplify72.0ms

prune41.0ms

localize9.0ms

rewrite74.0ms

series103.0ms

simplify73.0ms

prune79.0ms

localize10.0ms

rewrite44.0ms

series295.0ms

simplify54.0ms

prune66.0ms

regimes59.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample338.0ms

Profiling