Details

analyze26.0ms

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

sample11.0ms

Algorithm

intervals

Results

5.0ms

256×

body

128

valid

simplify66.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	782	10
1	782	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: 0.0b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

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:

9.0ms

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

series80.0ms

Counts

1 → 3

Calls

1 calls:

80.0ms

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

simplify63.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5254	802

prune31.0ms

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

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

131×	`*-un-lft-identity_binary64`
85×	`add-sqr-sqrt_binary64`
80×	`times-frac_binary64`
47×	`add-cube-cbrt_binary64`
26×	`cbrt-prod_binary64`
23×	`distribute-lft-out_binary64`
19×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
15×	`associate-/r*_binary64`
12×	`associate-/l*_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`associate-/r/_binary64`
6×	`associate-/l/_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `flip3--_binary64` `div-inv_binary64` `flip--_binary64`
3×	`flip3-+_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-exp_binary64` `flip-+_binary64`
1×	`cbrt-div_binary64` `pow1/3_binary64`

Counts

4 → 170

Calls

4 calls:

7.0ms	(cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y)))
8.0ms	(/.f64 (+.f64 x y) (-.f64 x y))
8.0ms	(/.f64 (+.f64 x y) (-.f64 x y))
9.0ms	(/.f64 (+.f64 x y) (-.f64 x y))

series458.0ms

Counts

4 → 12

Calls

4 calls:

215.0ms	(cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y)))
77.0ms	(/.f64 (+.f64 x y) (-.f64 x y))
82.0ms	(/.f64 (+.f64 x y) (-.f64 x y))
83.0ms	(/.f64 (+.f64 x y) (-.f64 x y))

simplify71.0ms

Algorithm

egg-herbie

Counts

182 → 182

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5000	3262

prune119.0ms

Filtered

123 candidates to 182 candidates (-48.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	181	1	182
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	181	5	186

Merged error: 0.0b

Counts

186 → 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)))

rewrite30.0ms

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`
12×	`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`
3×	`unswap-sqr_binary64` `prod-exp_binary64` `associate-/l*_binary64`
2×	`flip3-+_binary64` `add-log-exp_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `rec-exp_binary64` `div-inv_binary64` `div-exp_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 → 88

Calls

2 calls:

6.0ms	(/.f64 1 (-.f64 x y))
17.0ms	(*.f64 (+.f64 x y) (/.f64 1 (-.f64 x y)))

series123.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(/.f64 1 (-.f64 x y))
81.0ms	(*.f64 (+.f64 x y) (/.f64 1 (-.f64 x y)))

simplify81.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4963	1158
1	4963	1158

prune40.0ms

Filtered

55 candidates to 94 candidates (-70.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	94	5	99

Merged error: 0.0b

Counts

99 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod_binary64`
35×	`*-un-lft-identity_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`flip3-+_binary64` `swap-sqr_binary64` `distribute-lft-out_binary64` `pow1/3_binary64` `flip-+_binary64`
7×	`associate-r_binary64` `associate-l_binary64`
6×	`add-exp-log_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 → 95

Calls

4 calls:

13.0ms	(*.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y)))
3.0ms	(cbrt.f64 (+.f64 x y))
3.0ms	(cbrt.f64 (+.f64 x y))
3.0ms	(cbrt.f64 (+.f64 x y))

series914.0ms

Counts

4 → 12

Calls

4 calls:

278.0ms	(*.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y)))
213.0ms	(cbrt.f64 (+.f64 x y))
206.0ms	(cbrt.f64 (+.f64 x y))
217.0ms	(cbrt.f64 (+.f64 x y))

simplify70.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4973	1508
1	4973	1508

prune91.0ms

Filtered

74 candidates to 107 candidates (-44.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	106	1	107
Fresh	0	1	1
Picked	1	0	1
Done	0	3	3
Total	107	5	112

Merged error: 0b

Counts

112 → 5

regimes38.0ms

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	17	10
1	17	10

end0.0ms

sample292.0ms

Algorithm

intervals

Results

169.0ms

8000×

body

128

valid

Details

analyze26.0ms

sample11.0ms

simplify66.0ms

prune1.0ms

localize4.0ms

rewrite12.0ms

series80.0ms

simplify63.0ms

prune31.0ms

localize8.0ms

rewrite59.0ms

series458.0ms

simplify71.0ms

prune119.0ms

localize6.0ms

rewrite30.0ms

series123.0ms

simplify81.0ms

prune40.0ms

localize15.0ms

rewrite36.0ms

series914.0ms

simplify70.0ms

prune91.0ms

regimes38.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample292.0ms

Profiling