Details

analyze33.0ms

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
50%	50%	0.1%	4
50%	50%	0.1%	5
74.9%	25%	0.1%	6
74.9%	25%	0.1%	7
87.4%	12.5%	0.1%	8
87.4%	12.5%	0.1%	9
93.7%	6.2%	0.1%	10
93.7%	6.2%	0.1%	11
96.8%	3.1%	0.1%	12
96.8%	3.1%	0.1%	13
98.3%	1.6%	0.1%	14

sample14.0ms

Algorithm

intervals

Results

5.0ms	235×	body	80	valid
1.0ms	9×	body	1280	valid
0.0ms	4×	body	2560	valid
0.0ms	5×	body	640	valid
0.0ms	2×	body	160	valid
0.0ms	1×	body	320	valid

simplify20.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	356	7
1	356	7

prune6.0ms

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: 0.1b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(+.f64 x (/.f64 (-.f64 x y) 2.0))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

3×	`*-un-lft-identity_binary64` `add-log-exp_binary64`
1×	`flip3-+_binary64` `pow1_binary64` `associate-+r-_binary64` `distribute-lft-out_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `div-sub_binary64` `add-sqr-sqrt_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

1 → 13

Calls

1 calls:

9.0ms

(+.f64 x (/.f64 (-.f64 x y) 2.0))

series6.0ms

Counts

1 → 3

Calls

1 calls:

6.0ms

(+.f64 x (/.f64 (-.f64 x y) 2.0))

simplify45.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4988	157
1	4988	157

prune28.0ms

Filtered

12 candidates to 16 candidates (-33.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	11	5	16
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	11	6	17

Merged error: 0.0b

Counts

17 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0)))
0.5b	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0)))
0.5b	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0)))
0.5b	(*.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0))) (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0))))

rewrite50.0ms

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:

8.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0)))
8.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0)))
9.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0)))
21.0ms	(*.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0))) (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0))))

series217.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0)))
50.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0)))
53.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0)))
63.0ms	(*.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0))) (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0))))

simplify50.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5174	1558

prune138.0ms

Filtered

79 candidates to 107 candidates (-35.4%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	103	4	107
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	104	9	113

Merged error: 0.0b

Counts

113 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0)))
0.5b	(pow.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0))) 2)
0.5b	(cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0))))
0.5b	(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0))) 2))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

35×	`cbrt-prod_binary64`
21×	`*-un-lft-identity_binary64`
14×	`unpow-prod-down_binary64`
13×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
6×	`cbrt-div_binary64`
5×	`pow1_binary64` `add-exp-log_binary64`
4×	`add-log-exp_binary64` `distribute-lft-out_binary64` `pow1/3_binary64` `add-cbrt-cube_binary64`
3×	`pow-unpow_binary64`
2×	`flip3-+_binary64` `unpow2_binary64` `pow-pow_binary64` `sqr-pow_binary64` `flip-+_binary64`
1×	`pow-to-exp_binary64` `pow-exp_binary64`

Counts

4 → 74

Calls

4 calls:

8.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0)))
10.0ms	(pow.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0))) 2)
9.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0))))
10.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0))) 2))

series243.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0)))
81.0ms	(pow.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0))) 2)
51.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0))))
60.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0))) 2))

simplify38.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5173	1171

prune139.0ms

Filtered

69 candidates to 86 candidates (-24.6%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	85	1	86
Fresh	1	5	6
Picked	0	1	1
Done	0	2	2
Total	86	9	95

Merged error: 0.0b

Counts

95 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0))) (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0))))
0.5b	(cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0))))
0.5b	(cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0))))
0.6b	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0)))) 2)

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

57×	`cbrt-prod_binary64`
40×	`*-un-lft-identity_binary64`
28×	`add-sqr-sqrt_binary64`
20×	`cbrt-div_binary64` `add-cube-cbrt_binary64`
12×	`pow1_binary64`
10×	`unpow-prod-down_binary64`
9×	`swap-sqr_binary64` `distribute-lft-out_binary64` `pow1/3_binary64`
8×	`flip3-+_binary64` `flip-+_binary64`
7×	`associate-r_binary64` `add-exp-log_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64` `frac-times_binary64`
3×	`pow-unpow_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-r/_binary64` `pow-pow_binary64` `pow-sqr_binary64` `associate-l/_binary64`
1×	`pow-to-exp_binary64` `cbrt-unprod_binary64` `unpow2_binary64` `sqr-pow_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 113

Calls

4 calls:

21.0ms	(*.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0))) (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0))))
9.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0))))
9.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0))))
11.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0)))) 2)

series248.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(*.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0))) (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0))))
51.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0))))
52.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0))))
86.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0)))) 2)

simplify42.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5351	1906

prune159.0ms

Filtered

86 candidates to 125 candidates (-45.3%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	125	0	125
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	125	9	134

Merged error: 0.0b

Counts

134 → 9

regimes161.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	7
1	17	7

end0.0ms

sample354.0ms

Algorithm

intervals

Results

164.0ms	7348×	body	80	valid
25.0ms	240×	body	1280	valid
13.0ms	183×	body	640	valid
10.0ms	87×	body	2560	valid
5.0ms	93×	body	320	valid
2.0ms	49×	body	160	valid
0.0ms	2×	body	80	invalid

Details

analyze33.0ms

sample14.0ms

simplify20.0ms

prune6.0ms

localize5.0ms

rewrite9.0ms

series6.0ms

simplify45.0ms

prune28.0ms

localize10.0ms

rewrite50.0ms

series217.0ms

simplify50.0ms

prune138.0ms

localize14.0ms

rewrite40.0ms

series243.0ms

simplify38.0ms

prune139.0ms

localize15.0ms

rewrite53.0ms

series248.0ms

simplify42.0ms

prune159.0ms

regimes161.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample354.0ms

Profiling