Details

analyze67.0ms

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
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	50%	25.1%	6
25%	31.2%	43.8%	7
31.2%	25%	43.8%	8
39%	17.2%	43.8%	9
42.9%	13.3%	43.8%	10
47.2%	9%	43.8%	11
49.4%	6.8%	43.8%	12
51.6%	4.6%	43.8%	13
52.7%	3.5%	43.8%	14

sample20.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify13.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	38	13
1	38	13

prune20.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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 → 2

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x x) (.f64 y (*.f64 y 3)))
0.2b	(.f64 y (.f64 y 3))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-cbrt-cube_binary64_5040` `pow1_binary64_5014` `add-exp-log_binary64_5032`
4×	`add-log-exp_binary64_5033`
3×	`pow-prod-down_binary64_4995` `-un-lft-identity_binary64_5068` `associate-l*_binary64_5128` `prod-exp_binary64_5019` `add-sqr-sqrt_binary64_5053` `cbrt-unprod_binary64_5037` `add-cube-cbrt_binary64_5039`
1×	`flip3-+_binary64_5066` `flip-+_binary64_5093` `associate-r_binary64_5127` `sum-log_binary64_4983` `*-commutative_binary64_5136` `+-commutative_binary64_5135`

Counts

2 → 29

Calls

2 calls:

4.0ms	(+.f64 (.f64 x x) (.f64 y (*.f64 y 3)))
5.0ms	(.f64 y (.f64 y 3))

series49.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(+.f64 (.f64 x x) (.f64 y (*.f64 y 3)))
22.0ms	(.f64 y (.f64 y 3))

simplify91.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4939	410
1	4939	410

prune126.0ms

Filtered

21 candidates to 35 candidates (-66.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	31	4	35
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	32	5	37

Merged error: 0.0b

Counts

37 → 5

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x x) (.f64 (*.f64 y y) 3))
0.2b	(.f64 (.f64 y y) 3)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-cbrt-cube_binary64_5040` `pow1_binary64_5014` `add-exp-log_binary64_5032`
4×	`add-log-exp_binary64_5033` `add-sqr-sqrt_binary64_5053`
3×	`pow-prod-down_binary64_4995` `-un-lft-identity_binary64_5068` `associate-r*_binary64_5127` `prod-exp_binary64_5019` `cbrt-unprod_binary64_5037` `add-cube-cbrt_binary64_5039`
1×	`flip3-+_binary64_5066` `flip-+_binary64_5093` `associate-l_binary64_5128` `unswap-sqr_binary64_5096` `sum-log_binary64_4983` `*-commutative_binary64_5136` `+-commutative_binary64_5135`

Counts

2 → 30

Calls

2 calls:

4.0ms	(+.f64 (.f64 x x) (.f64 (*.f64 y y) 3))
6.0ms	(.f64 (.f64 y y) 3)

series49.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(+.f64 (.f64 x x) (.f64 (*.f64 y y) 3))
20.0ms	(.f64 (.f64 y y) 3)

simplify89.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	5041	426

prune119.0ms

Filtered

21 candidates to 36 candidates (-71.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	34	2	36
Fresh	2	1	3
Picked	0	1	1
Done	0	1	1
Total	36	5	41

Merged error: 0.0b

Counts

41 → 5

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 x x) (.f64 (.f64 (.f64 y y) (sqrt.f64 3)) (sqrt.f64 3)))
0.3b	(.f64 (.f64 y y) (sqrt.f64 3))
0.3b	(.f64 (.f64 (*.f64 y y) (sqrt.f64 3)) (sqrt.f64 3))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-cbrt-cube_binary64_5040` `pow1_binary64_5014` `add-exp-log_binary64_5032`
12×	`associate-r_binary64_5127`
9×	`pow-prod-down_binary64_4995` `prod-exp_binary64_5019` `add-sqr-sqrt_binary64_5053` `cbrt-unprod_binary64_5037`
7×	`sqrt-prod_binary64_5047` `*-un-lft-identity_binary64_5068` `add-cube-cbrt_binary64_5039`
5×	`add-log-exp_binary64_5033`
2×	`associate-l_binary64_5128` `unswap-sqr_binary64_5096` `*-commutative_binary64_5136`
1×	`flip3-+_binary64_5066` `flip-+_binary64_5093` `sum-log_binary64_4983` `+-commutative_binary64_5135`

Counts

3 → 58

Calls

3 calls:

5.0ms	(+.f64 (.f64 x x) (.f64 (.f64 (.f64 y y) (sqrt.f64 3)) (sqrt.f64 3)))
7.0ms	(.f64 (.f64 y y) (sqrt.f64 3))
10.0ms	(.f64 (.f64 (*.f64 y y) (sqrt.f64 3)) (sqrt.f64 3))

series120.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(+.f64 (.f64 x x) (.f64 (.f64 (.f64 y y) (sqrt.f64 3)) (sqrt.f64 3)))
27.0ms	(.f64 (.f64 y y) (sqrt.f64 3))
48.0ms	(.f64 (.f64 (*.f64 y y) (sqrt.f64 3)) (sqrt.f64 3))

simplify94.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	5224	763

prune200.0ms

Filtered

38 candidates to 67 candidates (-76.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	66	1	67
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	66	6	72

Merged error: 0.0b

Counts

72 → 6

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 (.f64 (sqrt.f64 3) (.f64 y y)) (*.f64 (cbrt.f64 (sqrt.f64 3)) (cbrt.f64 (sqrt.f64 3)))) (cbrt.f64 (sqrt.f64 3)))
0.3b	(.f64 (sqrt.f64 3) (.f64 y y))
0.3b	(.f64 (.f64 (sqrt.f64 3) (.f64 y y)) (.f64 (cbrt.f64 (sqrt.f64 3)) (cbrt.f64 (sqrt.f64 3))))
1.0b	(*.f64 (cbrt.f64 (sqrt.f64 3)) (cbrt.f64 (sqrt.f64 3)))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

66×	`pow1_binary64_5014`
61×	`add-exp-log_binary64_5032`
46×	`cbrt-prod_binary64_5035`
45×	`add-sqr-sqrt_binary64_5053`
42×	`pow-prod-down_binary64_4995`
41×	`prod-exp_binary64_5019` `cbrt-unprod_binary64_5037`
40×	`add-cbrt-cube_binary64_5040`
27×	`sqrt-prod_binary64_5047`
21×	`*-un-lft-identity_binary64_5068` `add-cube-cbrt_binary64_5039`
20×	`associate-r_binary64_5127`
17×	`associate-l_binary64_5128`
11×	`swap-sqr_binary64_5095` `unswap-sqr_binary64_5096`
6×	`pow1/3_binary64_5006`
4×	`add-log-exp_binary64_5033` `*-commutative_binary64_5136`
2×	`pow-sqr_binary64_5101` `pow-prod-up_binary64_4994`
1×	`pow2_binary64_5005` `pow-plus_binary64_5009`

Counts

4 → 146

Calls

4 calls:

19.0ms	(.f64 (.f64 (.f64 (sqrt.f64 3) (.f64 y y)) (*.f64 (cbrt.f64 (sqrt.f64 3)) (cbrt.f64 (sqrt.f64 3)))) (cbrt.f64 (sqrt.f64 3)))
8.0ms	(.f64 (sqrt.f64 3) (.f64 y y))
20.0ms	(.f64 (.f64 (sqrt.f64 3) (.f64 y y)) (.f64 (cbrt.f64 (sqrt.f64 3)) (cbrt.f64 (sqrt.f64 3))))
8.0ms	(*.f64 (cbrt.f64 (sqrt.f64 3)) (cbrt.f64 (sqrt.f64 3)))

series247.0ms

Counts

4 → 10

Calls

4 calls:

43.0ms	(.f64 (.f64 (.f64 (sqrt.f64 3) (.f64 y y)) (*.f64 (cbrt.f64 (sqrt.f64 3)) (cbrt.f64 (sqrt.f64 3)))) (cbrt.f64 (sqrt.f64 3)))
31.0ms	(.f64 (sqrt.f64 3) (.f64 y y))
172.0ms	(.f64 (.f64 (sqrt.f64 3) (.f64 y y)) (.f64 (cbrt.f64 (sqrt.f64 3)) (cbrt.f64 (sqrt.f64 3))))
0.0ms	(*.f64 (cbrt.f64 (sqrt.f64 3)) (cbrt.f64 (sqrt.f64 3)))

simplify159.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 0 (124.0ms)

Iter	Nodes	Cost
0	5548	2047

prune442.0ms

Filtered

76 candidates to 156 candidates (-105.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	155	1	156
Fresh	2	0	2
Picked	1	0	1
Done	0	3	3
Total	158	4	162

Merged error: 0.0b

Counts

162 → 4

regimes336.0ms

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	11	13
1	11	13

end0.0ms

sample422.0ms

Algorithm

intervals

Results

249.0ms	8000×	body	80	valid
0.0ms	10×	body	80	invalid

Details

analyze67.0ms

sample20.0ms

simplify13.0ms

prune20.0ms

localize17.0ms

rewrite10.0ms

series49.0ms

simplify91.0ms

prune126.0ms

localize9.0ms

rewrite11.0ms

series49.0ms

simplify89.0ms

prune119.0ms

localize12.0ms

rewrite24.0ms

series120.0ms

simplify94.0ms

prune200.0ms

localize18.0ms

rewrite62.0ms

series247.0ms

simplify159.0ms

prune442.0ms

regimes336.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample422.0ms

Profiling