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

sample14.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify585.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	783	10
1	783	10

prune6.0ms

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))

rewrite20.0ms

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))

series56.0ms

Counts

1 → 3

Calls

1 calls:

56.0ms

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

simplify82.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5380	802

prune29.0ms

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

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
0.0b	(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
0.0b	(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3)

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

150×	`*-un-lft-identity_binary64`
100×	`times-frac_binary64`
98×	`add-sqr-sqrt_binary64`
58×	`cbrt-prod_binary64`
56×	`add-cube-cbrt_binary64`
52×	`unpow-prod-down_binary64` `cube-prod_binary64`
26×	`distribute-lft-out_binary64`
21×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
10×	`associate-/r/_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-/r*_binary64` `flip3--_binary64` `div-inv_binary64` `flip--_binary64`
4×	`pow1_binary64` `associate-/l*_binary64`
3×	`pow-unpow_binary64` `add-log-exp_binary64`
2×	`associate-/l/_binary64` `cbrt-undiv_binary64` `sqr-pow_binary64` `cube-div_binary64` `rem-cube-cbrt_binary64` `div-exp_binary64` `pow-exp_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`cbrt-div_binary64` `pow-to-exp_binary64` `flip3-+_binary64` `rem-cbrt-cube_binary64` `pow1/3_binary64` `pow-pow_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip-+_binary64`

Counts

3 → 185

Calls

3 calls:

8.0ms	(/.f64 (+.f64 f n) (-.f64 n f))
11.0ms	(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
10.0ms	(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3)

series149.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(/.f64 (+.f64 f n) (-.f64 n f))
50.0ms	(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
61.0ms	(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3)

simplify75.0ms

Algorithm

egg-herbie

Counts

194 → 194

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5455	3740

prune70.0ms

Filtered

83 candidates to 194 candidates (-133.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	193	1	194
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	194	4	198

Merged error: 0.0b

Counts

198 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3) 3))
0.0b	(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3)
0.0b	(cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3) 3)))
0.0b	(pow.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3) 3)

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

407×	`*-un-lft-identity_binary64`
369×	`cbrt-prod_binary64`
356×	`unpow-prod-down_binary64` `cube-prod_binary64`
280×	`times-frac_binary64`
267×	`add-sqr-sqrt_binary64`
155×	`add-cube-cbrt_binary64`
70×	`distribute-lft-out_binary64`
56×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
28×	`associate-/r/_binary64`
14×	`flip3--_binary64` `div-inv_binary64` `flip--_binary64`
11×	`add-exp-log_binary64`
10×	`sqr-pow_binary64` `unpow3_binary64` `cube-mult_binary64`
8×	`add-cbrt-cube_binary64` `pow-exp_binary64`
7×	`cube-div_binary64`
6×	`pow-unpow_binary64`
5×	`pow1_binary64`
4×	`add-log-exp_binary64`
3×	`cbrt-div_binary64` `pow-to-exp_binary64` `rem-cube-cbrt_binary64`
2×	`pow1/3_binary64` `pow-pow_binary64` `div-exp_binary64`
1×	`rem-cbrt-cube_binary64` `cbrt-undiv_binary64`

Counts

4 → 475

Calls

4 calls:

24.0ms	(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3) 3))
10.0ms	(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3)
24.0ms	(cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3) 3)))
17.0ms	(pow.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3) 3)

series303.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3) 3))
64.0ms	(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3)
79.0ms	(cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3) 3)))
86.0ms	(pow.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3) 3)

simplify164.0ms

Algorithm

egg-herbie

Counts

487 → 487

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5274	11476

prune106.0ms

Filtered

112 candidates to 487 candidates (-334.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	487	0	487
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	487	4	491

Merged error: 0.0b

Counts

491 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 f n))
0.0b	(sqrt.f64 (+.f64 f n))
0.1b	(/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f))
0.2b	(*.f64 (sqrt.f64 (+.f64 f n)) (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

104×	`*-un-lft-identity_binary64`
94×	`add-sqr-sqrt_binary64`
74×	`times-frac_binary64`
61×	`sqrt-prod_binary64`
46×	`add-cube-cbrt_binary64`
41×	`associate-r_binary64`
15×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
14×	`distribute-lft-out_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`sqrt-div_binary64`
8×	`pow1_binary64`
7×	`associate-l_binary64` `associate-/l*_binary64`
6×	`unswap-sqr_binary64`
5×	`flip3-+_binary64` `associate-/r*_binary64` `flip-+_binary64`
4×	`add-log-exp_binary64` `associate-/r/_binary64`
2×	`associate-/l/_binary64` `pow1/2_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64` `frac-times_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `-commutative_binary64`

Counts

4 → 167

Calls

4 calls:

3.0ms	(sqrt.f64 (+.f64 f n))
3.0ms	(sqrt.f64 (+.f64 f n))
9.0ms	(/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f))
25.0ms	(*.f64 (sqrt.f64 (+.f64 f n)) (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)))

series154.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(sqrt.f64 (+.f64 f n))
23.0ms	(sqrt.f64 (+.f64 f n))
48.0ms	(/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f))
60.0ms	(*.f64 (sqrt.f64 (+.f64 f n)) (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)))

simplify83.0ms

Algorithm

egg-herbie

Counts

179 → 179

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4950	3276
1	4950	3276

prune75.0ms

Filtered

108 candidates to 179 candidates (-65.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	178	1	179
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	178	5	183

Merged error: 0b

Counts

183 → 5

regimes27.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	10
1	17	10

end0.0ms

sample322.0ms

Algorithm

intervals

Results

195.0ms

8000×

body

valid

Details

analyze34.0ms

sample14.0ms

simplify585.0ms

prune6.0ms

localize6.0ms

rewrite20.0ms

series56.0ms

simplify82.0ms

prune29.0ms

localize7.0ms

rewrite39.0ms

series149.0ms

simplify75.0ms

prune70.0ms

localize10.0ms

rewrite108.0ms

series303.0ms

simplify164.0ms

prune106.0ms

localize7.0ms

rewrite47.0ms

series154.0ms

simplify83.0ms

prune75.0ms

regimes27.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample322.0ms

Profiling