Details

analyze25.0ms

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

sample12.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify48.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	781	7
1	781	7

prune3.0ms

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

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (+.f64 x y) (-.f64 x y))

rewrite10.0ms

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:

8.0ms

(/.f64 (+.f64 x y) (-.f64 x y))

series9.0ms

Counts

1 → 3

Calls

1 calls:

9.0ms

(/.f64 (+.f64 x y) (-.f64 x y))

simplify49.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4959	532
1	4959	532

prune51.0ms

Filtered

32 candidates to 48 candidates (-50.0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	43	5	48
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	44	5	49

Merged error: 0b

Counts

49 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3))
0.0b	(pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3)
0.0b	(/.f64 (+.f64 x y) (-.f64 x y))

rewrite71.0ms

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:

21.0ms	(cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3))
19.0ms	(pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3)
13.0ms	(/.f64 (+.f64 x y) (-.f64 x y))

series62.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3))
25.0ms	(pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3)
16.0ms	(/.f64 (+.f64 x y) (-.f64 x y))

simplify42.0ms

Algorithm

egg-herbie

Counts

194 → 194

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5492	2496

prune96.0ms

Filtered

84 candidates to 194 candidates (-131.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	193	1	194
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	194	5	199

Merged error: 0b

Counts

199 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (-.f64 x y))
0.6b	(cbrt.f64 (+.f64 x y))
0.6b	(cbrt.f64 (+.f64 x y))
0.6b	(cbrt.f64 (+.f64 x y))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

17×	`cbrt-prod_binary64`
16×	`*-un-lft-identity_binary64`
10×	`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` `distribute-lft-out_binary64` `flip-+_binary64`
1×	`flip3--_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64`

Counts

4 → 57

Calls

4 calls:

3.0ms	(cbrt.f64 (-.f64 x y))
3.0ms	(cbrt.f64 (+.f64 x y))
3.0ms	(cbrt.f64 (+.f64 x y))
5.0ms	(cbrt.f64 (+.f64 x y))

series108.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(cbrt.f64 (-.f64 x y))
29.0ms	(cbrt.f64 (+.f64 x y))
27.0ms	(cbrt.f64 (+.f64 x y))
28.0ms	(cbrt.f64 (+.f64 x y))

simplify65.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4858	541
1	4858	541

prune69.0ms

Filtered

61 candidates to 69 candidates (-13.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	69	5	74

Merged error: 0b

Counts

74 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 1 (-.f64 x y))
0.2b	(*.f64 (+.f64 x y) (/.f64 1 (-.f64 x y)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt_binary64`
39×	`*-un-lft-identity_binary64`
32×	`times-frac_binary64`
22×	`add-cube-cbrt_binary64`
21×	`associate-r_binary64`
15×	`add-exp-log_binary64`
9×	`add-cbrt-cube_binary64`
7×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
5×	`associate-/r*_binary64` `pow1_binary64`
4×	`associate-/r/_binary64` `associate-l_binary64` `prod-exp_binary64` `div-exp_binary64`
3×	`unswap-sqr_binary64` `associate-/l*_binary64`
2×	`flip3-+_binary64` `add-log-exp_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `1-exp_binary64` `cbrt-undiv_binary64` `rec-exp_binary64` `div-inv_binary64` `flip--_binary64` `flip-+_binary64` `frac-times_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `distribute-lft-out_binary64` `associate-r/_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `un-div-inv_binary64` `pow-flip_binary64` `-commutative_binary64`

Counts

2 → 90

Calls

2 calls:

6.0ms	(/.f64 1 (-.f64 x y))
13.0ms	(*.f64 (+.f64 x y) (/.f64 1 (-.f64 x y)))

series16.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(/.f64 1 (-.f64 x y))
11.0ms	(*.f64 (+.f64 x y) (/.f64 1 (-.f64 x y)))

simplify49.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4966	785
1	4966	785

prune58.0ms

Filtered

56 candidates to 96 candidates (-71.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	96	5	101

Merged error: 0b

Counts

101 → 5

regimes122.0ms

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	19	10
1	19	10

end0.0ms

sample302.0ms

Algorithm

intervals

Results

174.0ms

8000×

body

valid

Details

analyze25.0ms

sample12.0ms

simplify48.0ms

prune3.0ms

localize4.0ms

rewrite10.0ms

series9.0ms

simplify49.0ms

prune51.0ms

localize7.0ms

rewrite71.0ms

series62.0ms

simplify42.0ms

prune96.0ms

localize13.0ms

rewrite16.0ms

series108.0ms

simplify65.0ms

prune69.0ms

localize6.0ms

rewrite22.0ms

series16.0ms

simplify49.0ms

prune58.0ms

regimes122.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample302.0ms

Profiling