Details

analyze71.0ms

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
40.6%	59.3%	0.1%	6
53.1%	45.3%	1.7%	7
62.4%	32.8%	4.8%	8
69.5%	22.6%	7.9%	9
74.5%	16.4%	9.1%	10
78.2%	11.1%	10.6%	11
80.9%	8.2%	10.9%	12
82.8%	5.5%	11.7%	13
84.1%	4.1%	11.8%	14

sample12.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	3×	body	80	invalid

simplify13.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (11.0ms)

Iter	Nodes	Cost
0	255	7
1	255	7

prune2.0ms

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

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(-.f64 (+.f64 x y) (*.f64 x y))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp_binary64`
2×	`diff-log_binary64`
1×	`*-un-lft-identity_binary64` `sub-neg_binary64` `pow1_binary64` `flip3--_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `flip--_binary64` `associate--l+_binary64` `sum-log_binary64`

Counts

1 → 13

Calls

1 calls:

6.0ms

(-.f64 (+.f64 x y) (*.f64 x y))

series5.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

(-.f64 (+.f64 x y) (*.f64 x y))

simplify47.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5299	164

prune8.0ms

Filtered

11 candidates to 16 candidates (-45.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	15	1	16
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	15	2	17

Merged error: 0.0b

Counts

17 → 2

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (+.f64 x y) (*.f64 x y))
0.0b	(sqrt.f64 (-.f64 (+.f64 x y) (*.f64 x y)))
0.0b	(sqrt.f64 (-.f64 (+.f64 x y) (*.f64 x y)))
0.2b	(.f64 (sqrt.f64 (-.f64 (+.f64 x y) (.f64 x y))) (sqrt.f64 (-.f64 (+.f64 x y) (*.f64 x y))))

rewrite42.0ms

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×	`add-log-exp_binary64` `flip3--_binary64` `flip--_binary64`
8×	`swap-sqr_binary64`
6×	`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×	`diff-log_binary64` `associate-r/_binary64` `rem-sqrt-square_binary64` `associate-l/_binary64`
1×	`sub-neg_binary64` `cbrt-unprod_binary64` `rem-square-sqrt_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `prod-exp_binary64` `pow2_binary64` `associate--l+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 100

Calls

4 calls:

10.0ms	(-.f64 (+.f64 x y) (*.f64 x y))
6.0ms	(sqrt.f64 (-.f64 (+.f64 x y) (*.f64 x y)))
6.0ms	(sqrt.f64 (-.f64 (+.f64 x y) (*.f64 x y)))
17.0ms	(.f64 (sqrt.f64 (-.f64 (+.f64 x y) (.f64 x y))) (sqrt.f64 (-.f64 (+.f64 x y) (*.f64 x y))))

series55.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(-.f64 (+.f64 x y) (*.f64 x y))
11.0ms	(sqrt.f64 (-.f64 (+.f64 x y) (*.f64 x y)))
11.0ms	(sqrt.f64 (-.f64 (+.f64 x y) (*.f64 x y)))
28.0ms	(.f64 (sqrt.f64 (-.f64 (+.f64 x y) (.f64 x y))) (sqrt.f64 (-.f64 (+.f64 x y) (*.f64 x y))))

simplify40.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5044	1371

prune34.0ms

Filtered

65 candidates to 112 candidates (-72.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	111	1	112
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	112	2	114

Merged error: 0b

Counts

114 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (-.f64 (+.f64 x y) (*.f64 x y)))
0.2b	(pow.f64 (sqrt.f64 (-.f64 (+.f64 x y) (*.f64 x y))) 3)
0.2b	(.f64 (sqrt.f64 (-.f64 (+.f64 x y) (.f64 x y))) (cbrt.f64 (pow.f64 (sqrt.f64 (-.f64 (+.f64 x y) (*.f64 x y))) 3)))
10.8b	(cbrt.f64 (pow.f64 (sqrt.f64 (-.f64 (+.f64 x y) (*.f64 x y))) 3))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 138

Calls

4 calls:

6.0ms	(sqrt.f64 (-.f64 (+.f64 x y) (*.f64 x y)))
10.0ms	(pow.f64 (sqrt.f64 (-.f64 (+.f64 x y) (*.f64 x y))) 3)
21.0ms	(.f64 (sqrt.f64 (-.f64 (+.f64 x y) (.f64 x y))) (cbrt.f64 (pow.f64 (sqrt.f64 (-.f64 (+.f64 x y) (*.f64 x y))) 3)))
8.0ms	(cbrt.f64 (pow.f64 (sqrt.f64 (-.f64 (+.f64 x y) (*.f64 x y))) 3))

series158.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(sqrt.f64 (-.f64 (+.f64 x y) (*.f64 x y)))
105.0ms	(pow.f64 (sqrt.f64 (-.f64 (+.f64 x y) (*.f64 x y))) 3)
29.0ms	(.f64 (sqrt.f64 (-.f64 (+.f64 x y) (.f64 x y))) (cbrt.f64 (pow.f64 (sqrt.f64 (-.f64 (+.f64 x y) (*.f64 x y))) 3)))
12.0ms	(cbrt.f64 (pow.f64 (sqrt.f64 (-.f64 (+.f64 x y) (*.f64 x y))) 3))

simplify80.0ms

Algorithm

egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4955	2140
1	4955	2140

prune43.0ms

Filtered

80 candidates to 150 candidates (-87.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	150	0	150
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	150	2	152

Merged error: 0b

Counts

152 → 2

regimes66.0ms

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	33	7
1	33	7

end0.0ms

sample297.0ms

Algorithm

intervals

Results

170.0ms	7997×	body	80	valid
2.0ms	83×	body	80	invalid
0.0ms	3×	body	640	valid

Details

analyze71.0ms

sample12.0ms

simplify13.0ms

prune2.0ms

localize4.0ms

rewrite7.0ms

series5.0ms

simplify47.0ms

prune8.0ms

localize7.0ms

rewrite42.0ms

series55.0ms

simplify40.0ms

prune34.0ms

localize9.0ms

rewrite51.0ms

series158.0ms

simplify80.0ms

prune43.0ms

regimes66.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample297.0ms

Profiling