Details

analyze74.0ms

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	252×	body	80	valid
0.0ms	3×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	80	invalid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	172	5
1	172	5

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

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b	(*.f64 200.0 (-.f64 x y))

rewrite7.0ms

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 200.0 (-.f64 x y))

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

(*.f64 200.0 (-.f64 x y))

simplify67.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4952	172
1	4952	172

prune30.0ms

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

localize5.0ms

Local error

Found 2 expressions with local error:

0.2b	(*.f64 (-.f64 x y) (sqrt.f64 200.0))
0.3b	(.f64 (sqrt.f64 200.0) (.f64 (-.f64 x y) (sqrt.f64 200.0)))

rewrite20.0ms

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 200.0))
10.0ms	(.f64 (sqrt.f64 200.0) (.f64 (-.f64 x y) (sqrt.f64 200.0)))

series19.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(*.f64 (-.f64 x y) (sqrt.f64 200.0))
12.0ms	(.f64 (sqrt.f64 200.0) (.f64 (-.f64 x y) (sqrt.f64 200.0)))

simplify49.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5008	392

prune46.0ms

Filtered

35 candidates to 55 candidates (-57.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	54	1	55
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	55	4	59

Merged error: 0b

Counts

59 → 4

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(*.f64 (-.f64 x y) (cbrt.f64 200.0))
0.5b	(.f64 (.f64 (cbrt.f64 200.0) (cbrt.f64 200.0)) (*.f64 (-.f64 x y) (cbrt.f64 200.0)))

rewrite23.0ms

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:

7.0ms	(*.f64 (-.f64 x y) (cbrt.f64 200.0))
14.0ms	(.f64 (.f64 (cbrt.f64 200.0) (cbrt.f64 200.0)) (*.f64 (-.f64 x y) (cbrt.f64 200.0)))

series19.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(*.f64 (-.f64 x y) (cbrt.f64 200.0))
11.0ms	(.f64 (.f64 (cbrt.f64 200.0) (cbrt.f64 200.0)) (*.f64 (-.f64 x y) (cbrt.f64 200.0)))

simplify37.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5454	395

prune45.0ms

Filtered

34 candidates to 56 candidates (-64.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	56	4	60

Merged error: 0b

Counts

60 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (-.f64 x y) (pow.f64 (sqrt.f64 200.0) 3/2))
0.3b	(.f64 (sqrt.f64 (sqrt.f64 200.0)) (.f64 (-.f64 x y) (pow.f64 (sqrt.f64 200.0) 3/2)))
1.0b	(pow.f64 (sqrt.f64 200.0) 3/2)
1.0b	(sqrt.f64 (sqrt.f64 200.0))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt_binary64`
26×	`sqrt-prod_binary64`
20×	`add-exp-log_binary64`
18×	`*-un-lft-identity_binary64`
16×	`add-cube-cbrt_binary64`
14×	`associate-l_binary64` `unpow-prod-down_binary64`
11×	`associate-r_binary64` `add-cbrt-cube_binary64`
10×	`pow1_binary64` `prod-exp_binary64`
5×	`sqrt-pow1_binary64`
4×	`add-log-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `associate-*l/_binary64`
3×	`pow-to-exp_binary64` `pow-unpow_binary64` `pow1/2_binary64` `pow-pow_binary64` `sqr-pow_binary64` `pow-exp_binary64`
2×	`flip3--_binary64` `associate-r/_binary64` `rem-sqrt-square_binary64` `flip--_binary64` `-commutative_binary64`
1×	`pow-prod-down_binary64` `sqrt-pow2_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`

Counts

4 → 102

Calls

4 calls:

9.0ms	(*.f64 (-.f64 x y) (pow.f64 (sqrt.f64 200.0) 3/2))
12.0ms	(.f64 (sqrt.f64 (sqrt.f64 200.0)) (.f64 (-.f64 x y) (pow.f64 (sqrt.f64 200.0) 3/2)))
3.0ms	(pow.f64 (sqrt.f64 200.0) 3/2)
2.0ms	(sqrt.f64 (sqrt.f64 200.0))

series35.0ms

Counts

4 → 8

Calls

4 calls:

23.0ms	(*.f64 (-.f64 x y) (pow.f64 (sqrt.f64 200.0) 3/2))
12.0ms	(.f64 (sqrt.f64 (sqrt.f64 200.0)) (.f64 (-.f64 x y) (pow.f64 (sqrt.f64 200.0) 3/2)))
0.0ms	(pow.f64 (sqrt.f64 200.0) 3/2)
0.0ms	(sqrt.f64 (sqrt.f64 200.0))

simplify58.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5019	787

prune81.0ms

Filtered

68 candidates to 110 candidates (-61.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	110	4	114

Merged error: 0b

Counts

114 → 4

regimes147.0ms

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	16	5
1	16	5

end0.0ms

sample271.0ms

Algorithm

intervals

Results

138.0ms	7879×	body	80	valid
6.0ms	46×	body	1280	valid
2.0ms	31×	body	640	valid
1.0ms	16×	body	2560	valid
1.0ms	56×	body	80	invalid
1.0ms	15×	body	320	valid
0.0ms	13×	body	160	valid

Details

analyze74.0ms

sample11.0ms

simplify11.0ms

prune2.0ms

localize3.0ms

rewrite7.0ms

series5.0ms

simplify67.0ms

prune30.0ms

localize5.0ms

rewrite20.0ms

series19.0ms

simplify49.0ms

prune46.0ms

localize7.0ms

rewrite23.0ms

series19.0ms

simplify37.0ms

prune45.0ms

localize10.0ms

rewrite28.0ms

series35.0ms

simplify58.0ms

prune81.0ms

regimes147.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample271.0ms

Profiling