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

sample24.0ms

Algorithm

intervals

Results

19.0ms

256×

body

valid

simplify157.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (148.0ms)

Iter	Nodes	Cost
0	4791	28
1	4791	28

prune5.0ms

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

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 2 (.f64 (.f64 v v) 6))
0.0b	(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)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

3.0ms	(-.f64 2 (.f64 (.f64 v v) 6))
3.0ms	(sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))
12.0ms	(/.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)

series172.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(-.f64 2 (.f64 (.f64 v v) 6))
25.0ms	(sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))
93.0ms	(/.f64 4/3 (.f64 PI.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 (*.f64 v v) 6))))))
19.0ms	(.f64 (.f64 v v) 6)

simplify59.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5055	1944

prune90.0ms

Filtered

64 candidates to 88 candidates (-37.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	87	1	88
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	88	2	90

Merged error: 0b

Counts

90 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

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

40×	`times-frac_binary64`
30×	`add-sqr-sqrt_binary64`
28×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
23×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
16×	`associate-/l*_binary64`
10×	`pow1_binary64`
8×	`associate-/r/_binary64` `sqrt-div_binary64`
7×	`flip3--_binary64` `cbrt-undiv_binary64` `div-exp_binary64` `flip--_binary64`
5×	`cbrt-unprod_binary64` `prod-exp_binary64`
4×	`associate-/r*_binary64` `add-log-exp_binary64` `div-inv_binary64` `frac-times_binary64`
3×	`pow-prod-down_binary64` `associate-r_binary64` `sqrt-prod_binary64`
2×	`associate-r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-l/_binary64`
1×	`associate-/l/_binary64` `pow1/2_binary64` `associate-l_binary64` `sqrt-pow1_binary64` `unswap-sqr_binary64` `rem-sqrt-square_binary64` `*-commutative_binary64`

Counts

4 → 115

Calls

4 calls:

12.0ms	(/.f64 (/.f64 4/3 PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))))
5.0ms	(sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))
6.0ms	(.f64 (.f64 v v) 6)
3.0ms	(/.f64 4/3 PI.f64)

series135.0ms

Counts

4 → 10

Calls

4 calls:

90.0ms	(/.f64 (/.f64 4/3 PI.f64) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))))
25.0ms	(sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))
20.0ms	(.f64 (.f64 v v) 6)
0.0ms	(/.f64 4/3 PI.f64)

simplify69.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4997	2840
1	4997	2840

prune122.0ms

Filtered

95 candidates to 125 candidates (-31.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	125	0	125
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	125	2	127

Merged error: 0b

Counts

127 → 2

regimes13.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	54	28
1	54	28

end0.0ms

sample512.0ms

Algorithm

intervals

Results

419.0ms	8000×	body	80	valid
0.0ms	6×	body	80	nan

Details

analyze5.0ms

sample24.0ms

simplify157.0ms

prune5.0ms

localize10.0ms

rewrite27.0ms

series172.0ms

simplify59.0ms

prune90.0ms

localize11.0ms

rewrite30.0ms

series135.0ms

simplify69.0ms

prune122.0ms

regimes13.0ms

bsearch0.0ms

simplify4.0ms

end0.0ms

sample512.0ms

Profiling