Details

analyze73.0ms

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
37.5%	62.4%	0.1%	6
56.2%	43.7%	0.1%	7
65.6%	34.3%	0.1%	8
76.5%	23.4%	0.1%	9
82%	18%	0.1%	10
87.8%	12.1%	0.1%	11
90.7%	9.2%	0.1%	12
93.8%	6.1%	0.1%	13
95.3%	4.6%	0.1%	14

sample11.0ms

Algorithm

intervals

Results

4.0ms	250×	body	128	valid
0.0ms	4×	body	1024	valid
0.0ms	2×	body	2048	valid
0.0ms	4×	body	128	invalid

simplify14.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (7.0ms)

Iter	Nodes	Cost
0	156	7
1	156	7

prune1.0ms

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 200 (-.f64 x y))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt_binary64`
5×	`-un-lft-identity_binary64` `associate-r*_binary64`
3×	`pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
2×	`sub-neg_binary64` `associate-*r/_binary64`
1×	`pow-prod-down_binary64` `add-log-exp_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

1 → 24

Calls

1 calls:

7.0ms

(*.f64 200 (-.f64 x y))

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

(*.f64 200 (-.f64 x y))

simplify56.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5031	250

prune17.0ms

Filtered

17 candidates to 27 candidates (-58.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	24	3	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	24	4	28

Merged error: 0.0b

Counts

28 → 4

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(*.f64 (-.f64 x y) (cbrt.f64 200))
0.5b	(.f64 (.f64 (cbrt.f64 200) (cbrt.f64 200)) (*.f64 (-.f64 x y) (cbrt.f64 200)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1_binary64` `add-exp-log_binary64`
11×	`add-sqr-sqrt_binary64`
9×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `add-cbrt-cube_binary64` `prod-exp_binary64`
7×	`-un-lft-identity_binary64` `associate-r*_binary64`
6×	`associate-l_binary64`
5×	`add-cube-cbrt_binary64`
4×	`cbrt-prod_binary64` `associate-*l/_binary64`
2×	`add-log-exp_binary64` `flip3--_binary64` `associate-r/_binary64` `unswap-sqr_binary64` `flip--_binary64` `-commutative_binary64`
1×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`

Counts

2 → 50

Calls

2 calls:

8.0ms	(*.f64 (-.f64 x y) (cbrt.f64 200))
14.0ms	(.f64 (.f64 (cbrt.f64 200) (cbrt.f64 200)) (*.f64 (-.f64 x y) (cbrt.f64 200)))

series171.0ms

Counts

2 → 6

Calls

2 calls:

66.0ms	(*.f64 (-.f64 x y) (cbrt.f64 200))
105.0ms	(.f64 (.f64 (cbrt.f64 200) (cbrt.f64 200)) (*.f64 (-.f64 x y) (cbrt.f64 200)))

simplify48.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5112	604

prune36.0ms

Filtered

35 candidates to 56 candidates (-60.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	55	1	56
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	55	5	60

Merged error: 0b

Counts

60 → 5

localize5.0ms

Local error

Found 2 expressions with local error:

0.2b	(*.f64 (-.f64 x y) (sqrt.f64 200))
0.4b	(.f64 (sqrt.f64 200) (.f64 (-.f64 x y) (sqrt.f64 200)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64`
11×	`associate-l_binary64`
9×	`*-un-lft-identity_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`associate-r_binary64` `add-cube-cbrt_binary64` `sqrt-prod_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `associate-*l/_binary64`
2×	`add-log-exp_binary64` `flip3--_binary64` `associate-r/_binary64` `unswap-sqr_binary64` `flip--_binary64` `-commutative_binary64`
1×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`

Counts

2 → 49

Calls

2 calls:

8.0ms	(*.f64 (-.f64 x y) (sqrt.f64 200))
11.0ms	(.f64 (sqrt.f64 200) (.f64 (-.f64 x y) (sqrt.f64 200)))

series158.0ms

Counts

2 → 6

Calls

2 calls:

62.0ms	(*.f64 (-.f64 x y) (sqrt.f64 200))
96.0ms	(.f64 (sqrt.f64 200) (.f64 (-.f64 x y) (sqrt.f64 200)))

simplify50.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5347	597

prune30.0ms

Filtered

36 candidates to 55 candidates (-52.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	55	5	60

Merged error: 0b

Counts

60 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (-.f64 x y))
0.5b	(cbrt.f64 (-.f64 x y))
0.5b	(cbrt.f64 (-.f64 x y))
0.5b	(*.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 x y)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod_binary64`
37×	`add-sqr-sqrt_binary64`
35×	`*-un-lft-identity_binary64`
18×	`cbrt-div_binary64`
15×	`add-cube-cbrt_binary64`
11×	`pow1_binary64`
10×	`swap-sqr_binary64`
9×	`flip3--_binary64` `pow1/3_binary64` `distribute-lft-out--_binary64` `flip--_binary64`
8×	`associate-r_binary64` `associate-l_binary64`
7×	`difference-of-squares_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-r/_binary64` `pow-sqr_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 101

Calls

4 calls:

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

series891.0ms

Counts

4 → 12

Calls

4 calls:

218.0ms	(cbrt.f64 (-.f64 x y))
221.0ms	(cbrt.f64 (-.f64 x y))
211.0ms	(cbrt.f64 (-.f64 x y))
240.0ms	(*.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 x y)))

simplify95.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4853	1652
1	4853	1652

prune76.0ms

Filtered

86 candidates to 113 candidates (-31.4%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	113	5	118

Merged error: 0b

Counts

118 → 5

regimes48.0ms

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	17	7
1	17	7

end0.0ms

sample282.0ms

Algorithm

intervals

Results

138.0ms	7862×	body	128	valid
3.0ms	52×	body	1024	valid
3.0ms	38×	body	2048	valid
1.0ms	34×	body	512	valid
1.0ms	54×	body	128	invalid
0.0ms	14×	body	256	valid

Details

analyze73.0ms

sample11.0ms

simplify14.0ms

prune1.0ms

localize4.0ms

rewrite9.0ms

series42.0ms

simplify56.0ms

prune17.0ms

localize7.0ms

rewrite26.0ms

series171.0ms

simplify48.0ms

prune36.0ms

localize5.0ms

rewrite23.0ms

series158.0ms

simplify50.0ms

prune30.0ms

localize9.0ms

rewrite34.0ms

series891.0ms

simplify95.0ms

prune76.0ms

regimes48.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample282.0ms

Profiling