Details

analyze40.0ms

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
50%	50%	0.1%	4
50%	50%	0.1%	5
68.7%	31.2%	0.1%	6
71.8%	28.1%	0.1%	7
73.4%	14%	12.6%	8
74.1%	13.3%	12.6%	9
74.5%	6.6%	18.8%	10
74.7%	6.4%	18.8%	11
74.8%	3.2%	22%	12
74.9%	3.2%	22%	13
74.9%	1.6%	23.5%	14

sample13.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	6×	body	80	invalid

simplify568.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (13.0ms)

Iter	Nodes	Cost
0	213	10
1	213	10

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

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp_binary64`
2×	`add-sqr-sqrt_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` `difference-of-squares_binary64` `flip--_binary64`

Counts

1 → 12

Calls

1 calls:

15.0ms

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

series28.0ms

Counts

1 → 3

Calls

1 calls:

28.0ms

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

simplify83.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4828	163
1	4828	163

prune13.0ms

Filtered

11 candidates to 15 candidates (-36.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	13	2	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	3	16

Merged error: 0b

Counts

16 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt_binary64`
22×	`sqrt-prod_binary64`
18×	`pow1_binary64`
12×	`sqrt-div_binary64`
11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
9×	`swap-sqr_binary64`
8×	`pow1/2_binary64` `flip3--_binary64` `sqrt-pow1_binary64` `flip--_binary64`
7×	`add-log-exp_binary64` `associate-r_binary64` `associate-l_binary64`
6×	`difference-of-squares_binary64`
5×	`pow-prod-up_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`unswap-sqr_binary64` `frac-times_binary64`
3×	`pow-prod-down_binary64` `pow-sqr_binary64`
2×	`sub-neg_binary64` `diff-log_binary64` `associate-r/_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `rem-square-sqrt_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

3 → 84

Calls

3 calls:

4.0ms	(-.f64 (*.f64 x x) y)
4.0ms	(-.f64 (*.f64 x x) y)
13.0ms	(.f64 (sqrt.f64 (-.f64 (.f64 x x) y)) (sqrt.f64 (-.f64 (*.f64 x x) y)))

series53.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(-.f64 (*.f64 x x) y)
19.0ms	(-.f64 (*.f64 x x) y)
19.0ms	(.f64 (sqrt.f64 (-.f64 (.f64 x x) y)) (sqrt.f64 (-.f64 (*.f64 x x) y)))

simplify82.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5104	1136

prune41.0ms

Filtered

48 candidates to 93 candidates (-93.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	93	3	96

Merged error: 0b

Counts

96 → 3

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (*.f64 x x) y)
3.0b	(-.f64 (pow.f64 x 4) (*.f64 y y))
31.1b	(/.f64 (-.f64 (pow.f64 x 4) (.f64 y y)) (+.f64 (.f64 x x) y))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64`
18×	`times-frac_binary64`
15×	`difference-of-squares_binary64`
14×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
7×	`add-log-exp_binary64`
6×	`associate-/l*_binary64`
5×	`sqr-pow_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `unpow-prod-down_binary64`
3×	`associate-/r*_binary64` `pow1_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `flip3--_binary64` `associate-/r/_binary64` `flip--_binary64` `flip-+_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

3 → 69

Calls

3 calls:

4.0ms	(+.f64 (*.f64 x x) y)
5.0ms	(-.f64 (pow.f64 x 4) (*.f64 y y))
10.0ms	(/.f64 (-.f64 (pow.f64 x 4) (.f64 y y)) (+.f64 (.f64 x x) y))

series94.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(+.f64 (*.f64 x x) y)
31.0ms	(-.f64 (pow.f64 x 4) (*.f64 y y))
47.0ms	(/.f64 (-.f64 (pow.f64 x 4) (.f64 y y)) (+.f64 (.f64 x x) y))

simplify94.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4934	1540
1	4934	1540

prune58.0ms

Filtered

57 candidates to 78 candidates (-36.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	78	3	81

Merged error: 0b

Counts

81 → 3

regimes48.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	10
1	18	10

end0.0ms

sample304.0ms

Algorithm

intervals

Results

178.0ms	7999×	body	80	valid
3.0ms	165×	body	80	invalid
0.0ms	1×	body	160	valid

Details

analyze40.0ms

sample13.0ms

simplify568.0ms

prune3.0ms

localize7.0ms

rewrite17.0ms

series28.0ms

simplify83.0ms

prune13.0ms

localize7.0ms

rewrite25.0ms

series53.0ms

simplify82.0ms

prune41.0ms

localize10.0ms

rewrite21.0ms

series94.0ms

simplify94.0ms

prune58.0ms

regimes48.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample304.0ms

Profiling