Details

analyze253.0ms

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
12.5%	71.8%	15.7%	8
25%	56.2%	18.9%	9
31.2%	43.7%	25.1%	10
39%	34.7%	26.3%	11
44.9%	27.9%	27.3%	12
47.8%	22%	30.2%	13
52.6%	16.8%	30.7%	14

sample16.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
0.0ms	14×	body	80	invalid

simplify13.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (10.0ms)

Iter	Nodes	Cost
0	230	9
1	230	9

prune3.0ms

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

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(-.f64 (.f64 x x) (.f64 (*.f64 y 4) z))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp_binary64`
1×	`*-un-lft-identity_binary64` `sub-neg_binary64` `pow1_binary64` `flip3--_binary64` `diff-log_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `flip--_binary64`

Counts

1 → 11

Calls

1 calls:

4.0ms

(-.f64 (*.f64 x x) (*.f64 (*.f64 y 4) z))

series9.0ms

Counts

1 → 3

Calls

1 calls:

9.0ms

(-.f64 (*.f64 x x) (*.f64 (*.f64 y 4) z))

simplify47.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4993	176
1	4993	176

prune25.0ms

Filtered

10 candidates to 14 candidates (-40.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	13	1	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	2	15

Merged error: 0.0b

Counts

15 → 2

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 x x) (.f64 (*.f64 y 4) z))
0.1b	(.f64 (sqrt.f64 (-.f64 (.f64 x x) (.f64 (.f64 y 4) z))) (sqrt.f64 (-.f64 (.f64 x x) (.f64 (*.f64 y 4) z))))
2.0b	(sqrt.f64 (-.f64 (.f64 x x) (.f64 (*.f64 y 4) z)))
2.0b	(sqrt.f64 (-.f64 (.f64 x x) (.f64 (*.f64 y 4) z)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64`
24×	`sqrt-prod_binary64`
21×	`pow1_binary64`
16×	`sqrt-div_binary64`
14×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
10×	`pow1/2_binary64` `sqrt-pow1_binary64`
9×	`flip3--_binary64` `flip--_binary64`
8×	`swap-sqr_binary64`
6×	`add-log-exp_binary64` `associate-r_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
5×	`pow-prod-up_binary64`
4×	`unswap-sqr_binary64` `frac-times_binary64`
3×	`pow-prod-down_binary64` `pow-sqr_binary64`
2×	`associate-r/_binary64` `rem-sqrt-square_binary64` `associate-l/_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `rem-square-sqrt_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 98

Calls

4 calls:

4.0ms	(-.f64 (.f64 x x) (.f64 (*.f64 y 4) z))
13.0ms	(.f64 (sqrt.f64 (-.f64 (.f64 x x) (.f64 (.f64 y 4) z))) (sqrt.f64 (-.f64 (.f64 x x) (.f64 (*.f64 y 4) z))))
8.0ms	(sqrt.f64 (-.f64 (.f64 x x) (.f64 (*.f64 y 4) z)))
7.0ms	(sqrt.f64 (-.f64 (.f64 x x) (.f64 (*.f64 y 4) z)))

series49.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(-.f64 (.f64 x x) (.f64 (*.f64 y 4) z))
9.0ms	(.f64 (sqrt.f64 (-.f64 (.f64 x x) (.f64 (.f64 y 4) z))) (sqrt.f64 (-.f64 (.f64 x x) (.f64 (*.f64 y 4) z))))
15.0ms	(sqrt.f64 (-.f64 (.f64 x x) (.f64 (*.f64 y 4) z)))
15.0ms	(sqrt.f64 (-.f64 (.f64 x x) (.f64 (*.f64 y 4) z)))

simplify53.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5063	1439

prune83.0ms

Filtered

65 candidates to 110 candidates (-69.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	109	3	112

Merged error: 0b

Counts

112 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 x x) (.f64 (.f64 y 4) z)))) 3) (sqrt.f64 (sqrt.f64 (-.f64 (.f64 x x) (.f64 (*.f64 y 4) z)))))
0.5b	(pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 x x) (.f64 (*.f64 y 4) z)))) 3)
2.0b	(sqrt.f64 (-.f64 (.f64 x x) (.f64 (*.f64 y 4) z)))
2.0b	(sqrt.f64 (-.f64 (.f64 x x) (.f64 (*.f64 y 4) z)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

93×	`sqrt-prod_binary64`
70×	`add-sqr-sqrt_binary64`
32×	`sqrt-div_binary64`
27×	`unpow-prod-down_binary64` `cube-prod_binary64`
24×	`associate-l_binary64` `unswap-sqr_binary64`
23×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
10×	`pow1_binary64` `add-exp-log_binary64`
9×	`flip3--_binary64` `associate-r_binary64` `flip--_binary64`
8×	`cube-div_binary64`
7×	`add-cbrt-cube_binary64`
6×	`sqrt-pow1_binary64`
5×	`pow-pow_binary64` `sqr-pow_binary64`
4×	`add-log-exp_binary64` `pow1/2_binary64` `frac-times_binary64`
3×	`pow-unpow_binary64` `prod-exp_binary64`
2×	`pow-to-exp_binary64` `associate-r/_binary64` `rem-sqrt-square_binary64` `pow-exp_binary64` `unpow3_binary64` `associate-l/_binary64` `cube-mult_binary64`
1×	`cbrt-unprod_binary64` `sqrt-pow2_binary64` `pow-prod-up_binary64` `pow-plus_binary64` `rem-cube-cbrt_binary64` `*-commutative_binary64`

Counts

4 → 151

Calls

4 calls:

19.0ms	(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 x x) (.f64 (.f64 y 4) z)))) 3) (sqrt.f64 (sqrt.f64 (-.f64 (.f64 x x) (.f64 (*.f64 y 4) z)))))
7.0ms	(pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 x x) (.f64 (*.f64 y 4) z)))) 3)
5.0ms	(sqrt.f64 (-.f64 (.f64 x x) (.f64 (*.f64 y 4) z)))
4.0ms	(sqrt.f64 (-.f64 (.f64 x x) (.f64 (*.f64 y 4) z)))

series69.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 x x) (.f64 (.f64 y 4) z)))) 3) (sqrt.f64 (sqrt.f64 (-.f64 (.f64 x x) (.f64 (*.f64 y 4) z)))))
30.0ms	(pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 x x) (.f64 (*.f64 y 4) z)))) 3)
15.0ms	(sqrt.f64 (-.f64 (.f64 x x) (.f64 (*.f64 y 4) z)))
15.0ms	(sqrt.f64 (-.f64 (.f64 x x) (.f64 (*.f64 y 4) z)))

simplify45.0ms

Algorithm

egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5308	2631

prune117.0ms

Filtered

84 candidates to 163 candidates (-94.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	163	0	163
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	163	3	166

Merged error: 0b

Counts

166 → 3

regimes285.0ms

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	52	9
1	52	9

end0.0ms

sample438.0ms

Algorithm

intervals

Results

241.0ms	8000×	body	80	valid
17.0ms	457×	body	80	invalid

Details

analyze253.0ms

sample16.0ms

simplify13.0ms

prune3.0ms

localize6.0ms

rewrite5.0ms

series9.0ms

simplify47.0ms

prune25.0ms

localize15.0ms

rewrite36.0ms

series49.0ms

simplify53.0ms

prune83.0ms

localize13.0ms

rewrite40.0ms

series69.0ms

simplify45.0ms

prune117.0ms

regimes285.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample438.0ms

Profiling