Details

analyze5.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
25%	25%	50%	4
37.5%	12.5%	50%	5
43.7%	6.2%	50%	6
46.9%	3.1%	50%	7
48.4%	1.6%	50%	8
49.2%	0.8%	50%	9
49.6%	0.4%	50%	10
49.8%	0.2%	50%	11
49.9%	0.1%	50%	12
49.9%	0%	50.1%	13
49.9%	0%	50.1%	14

sample23.0ms

Algorithm

intervals

Results

13.0ms

256×

body

128

valid

simplify141.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (134.0ms)

Iter	Nodes	Cost
0	4863	28
1	4863	28

prune6.0ms

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: 0.0b

Counts

2 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))
0.0b	(.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))))
0.0b	(/.f64 4/3 (.f64 PI.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 (*.f64 v v) 6))))))
0.2b	(.f64 (.f64 v v) 6)

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
18×	`add-sqr-sqrt_binary64`
14×	`sqrt-div_binary64`
13×	`flip3--_binary64` `flip--_binary64`
12×	`-un-lft-identity_binary64` `pow1_binary64` `associate-r/_binary64`
11×	`add-cube-cbrt_binary64`
9×	`associate-r_binary64`
8×	`associate-/r/_binary64` `frac-times_binary64`
7×	`cbrt-unprod_binary64` `prod-exp_binary64` `sqrt-prod_binary64`
6×	`associate-l_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `associate-*l/_binary64`
3×	`cbrt-undiv_binary64` `unswap-sqr_binary64` `associate-/l*_binary64` `times-frac_binary64` `div-exp_binary64`
2×	`difference-of-squares_binary64` `*-commutative_binary64`
1×	`associate-/r*_binary64` `pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64`

Counts

4 → 97

Calls

4 calls:

3.0ms	(sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))
10.0ms	(.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))))
13.0ms	(/.f64 4/3 (.f64 PI.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 (*.f64 v v) 6))))))
6.0ms	(.f64 (.f64 v v) 6)

series394.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))
98.0ms	(.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))))
202.0ms	(/.f64 4/3 (.f64 PI.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 (*.f64 v v) 6))))))
42.0ms	(.f64 (.f64 v v) 6)

simplify59.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5252	2752

prune123.0ms

Filtered

81 candidates to 109 candidates (-34.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	107	2	109
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	109	2	111

Merged error: 0b

Counts

111 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))
0.0b	(.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))))
0.2b	(.f64 (.f64 v v) 6)
1.0b	(/.f64 4/3 PI.f64)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64`
18×	`*-un-lft-identity_binary64`
17×	`add-cube-cbrt_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`pow1_binary64`
9×	`associate-r_binary64` `times-frac_binary64`
8×	`sqrt-div_binary64`
7×	`flip3--_binary64` `flip--_binary64` `sqrt-prod_binary64`
6×	`associate-l_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `frac-times_binary64`
3×	`associate-/r_binary64` `unswap-sqr_binary64` `associate-/l_binary64`
2×	`associate-r/_binary64` `difference-of-squares_binary64` `associate-l/_binary64` `*-commutative_binary64`
1×	`pow1/2_binary64` `cbrt-undiv_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

4 → 93

Calls

4 calls:

3.0ms	(sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))
9.0ms	(.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))))
6.0ms	(.f64 (.f64 v v) 6)
3.0ms	(/.f64 4/3 PI.f64)

series208.0ms

Counts

4 → 10

Calls

4 calls:

69.0ms	(sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))
105.0ms	(.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))))
34.0ms	(.f64 (.f64 v v) 6)
0.0ms	(/.f64 4/3 PI.f64)

simplify89.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4911	1812
1	4911	1812

prune103.0ms

Filtered

76 candidates to 103 candidates (-35.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	103	2	105

Merged error: 0b

Counts

105 → 2

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))
0.0b	(.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))))
0.2b	(.f64 (.f64 v v) 6)
1.0b	(log.f64 (exp.f64 (/.f64 4/3 (.f64 PI.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 (*.f64 v v) 6))))))))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt_binary64`
16×	`log-pow_binary64`
15×	`exp-prod_binary64`
14×	`sqrt-div_binary64`
13×	`*-un-lft-identity_binary64` `pow1_binary64` `flip3--_binary64` `flip--_binary64`
12×	`associate-*r/_binary64` `add-cube-cbrt_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`associate-r_binary64`
8×	`associate-/r/_binary64` `frac-times_binary64`
7×	`sqrt-prod_binary64`
6×	`associate-l_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `associate-*l/_binary64`
3×	`log-prod_binary64` `unswap-sqr_binary64` `times-frac_binary64`
2×	`difference-of-squares_binary64` `*-commutative_binary64`
1×	`pow1/2_binary64` `rem-log-exp_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `div-inv_binary64`

Counts

4 → 93

Calls

4 calls:

3.0ms	(sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))
11.0ms	(.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))))
6.0ms	(.f64 (.f64 v v) 6)
8.0ms	(log.f64 (exp.f64 (/.f64 4/3 (.f64 PI.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 (*.f64 v v) 6))))))))

series630.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))
119.0ms	(.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))))
60.0ms	(.f64 (.f64 v v) 6)
400.0ms	(log.f64 (exp.f64 (/.f64 4/3 (.f64 PI.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 (*.f64 v v) 6))))))))

simplify85.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4923	2599
1	4923	2599

prune124.0ms

Filtered

82 candidates to 105 candidates (-28.0%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	105	2	107

Merged error: 0b

Counts

107 → 2

regimes16.0ms

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	53	28
1	53	28

end0.0ms

sample496.0ms

Algorithm

intervals

Results

389.0ms

8000×

body

128

valid

Details

analyze5.0ms

sample23.0ms

simplify141.0ms

prune6.0ms

localize12.0ms

rewrite42.0ms

series394.0ms

simplify59.0ms

prune123.0ms

localize13.0ms

rewrite30.0ms

series208.0ms

simplify89.0ms

prune103.0ms

localize15.0ms

rewrite38.0ms

series630.0ms

simplify85.0ms

prune124.0ms

regimes16.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample496.0ms

Profiling