Details

analyze73.0ms (6.2%)

Algorithm

1×

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 (1%)

Algorithm

1×

intervals

Results

4.0ms	254×	body	80	valid
0.0ms	2×	body	2560	valid
0.0ms	2×	body	80	invalid

simplify11.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	172	5
1	172	5

prune5.0ms (0.4%)

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 (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite7.0ms (0.6%)

Algorithm

1×	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))

series10.0ms (0.8%)

Counts

1 → 3

Calls

1 calls:

9.0ms

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

simplify70.0ms (6%)

Algorithm

1×	egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4952	172
1	4952	172

prune35.0ms (3%)

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 (0.6%)

Local error

Found 2 expressions with local error:

0.1b	(*.f64 (-.f64 x y) (cbrt.f64 200.0))
0.4b	(.f64 (.f64 (cbrt.f64 200.0) (cbrt.f64 200.0)) (*.f64 (-.f64 x y) (cbrt.f64 200.0)))

rewrite24.0ms (2%)

Algorithm

1×	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:

15.0ms	(.f64 (.f64 (cbrt.f64 200.0) (cbrt.f64 200.0)) (*.f64 (-.f64 x y) (cbrt.f64 200.0)))
7.0ms	(*.f64 (-.f64 x y) (cbrt.f64 200.0))

series20.0ms (1.7%)

Counts

2 → 6

Calls

2 calls:

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

simplify38.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5454	395

prune67.0ms (5.8%)

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: 0.0b

Counts

60 → 4

localize6.0ms (0.5%)

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)))

rewrite19.0ms (1.6%)

Algorithm

1×	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:

10.0ms	(.f64 (sqrt.f64 200.0) (.f64 (-.f64 x y) (sqrt.f64 200.0)))
8.0ms	(*.f64 (-.f64 x y) (sqrt.f64 200.0))

series22.0ms (1.9%)

Counts

2 → 6

Calls

2 calls:

14.0ms	(.f64 (sqrt.f64 200.0) (.f64 (-.f64 x y) (sqrt.f64 200.0)))
8.0ms	(*.f64 (-.f64 x y) (sqrt.f64 200.0))

simplify50.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5008	392

prune60.0ms (5.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

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

Merged error: 0.0b

Counts

59 → 4

localize6.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (-.f64 x y))
0.0b	(sqrt.f64 (-.f64 x y))
0.1b	(*.f64 200.0 (sqrt.f64 (-.f64 x y)))
0.2b	(.f64 (.f64 200.0 (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y)))

rewrite29.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`add-sqr-sqrt_binary64`
21×	`sqrt-prod_binary64`
19×	`*-un-lft-identity_binary64`
18×	`sqrt-div_binary64`
16×	`associate-r_binary64`
13×	`pow1_binary64`
11×	`add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`associate-*r/_binary64`
9×	`flip3--_binary64` `flip--_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `frac-times_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64` `unswap-sqr_binary64` `rem-sqrt-square_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

4 → 91

Calls

4 calls:

12.0ms	(.f64 (.f64 200.0 (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y)))
7.0ms	(*.f64 200.0 (sqrt.f64 (-.f64 x y)))
3.0ms	(sqrt.f64 (-.f64 x y))
3.0ms	(sqrt.f64 (-.f64 x y))

series45.0ms (3.8%)

Counts

4 → 12

Calls

4 calls:

14.0ms	(*.f64 200.0 (sqrt.f64 (-.f64 x y)))
13.0ms	(sqrt.f64 (-.f64 x y))
11.0ms	(sqrt.f64 (-.f64 x y))
6.0ms	(.f64 (.f64 200.0 (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y)))

simplify32.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5006	936

prune94.0ms (8.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	103	4	107

Merged error: 0.0b

Counts

107 → 4

regimes151.0ms (12.9%)

Accuracy

Total 0.0b remaining (87.1%)

Threshold costs 0.0b (87.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	5
1	16	5

end0.0ms (0%)

sample272.0ms (23.2%)

Algorithm

1×

intervals

Results

141.0ms	7859×	body	80	valid
4.0ms	55×	body	1280	valid
2.0ms	27×	body	2560	valid
2.0ms	31×	body	640	valid
1.0ms	51×	body	80	invalid
1.0ms	17×	body	320	valid
0.0ms	11×	body	160	valid

Details

analyze73.0ms (6.2%)

sample11.0ms (1%)

simplify11.0ms (0.9%)

prune5.0ms (0.4%)

localize4.0ms (0.3%)

rewrite7.0ms (0.6%)

series10.0ms (0.8%)

simplify70.0ms (6%)

prune35.0ms (3%)

localize7.0ms (0.6%)

rewrite24.0ms (2%)

series20.0ms (1.7%)

simplify38.0ms (3.3%)

prune67.0ms (5.8%)

localize6.0ms (0.5%)

rewrite19.0ms (1.6%)

series22.0ms (1.9%)

simplify50.0ms (4.3%)

prune60.0ms (5.1%)

localize6.0ms (0.5%)

rewrite29.0ms (2.5%)

series45.0ms (3.8%)

simplify32.0ms (2.8%)

prune94.0ms (8.1%)

regimes151.0ms (12.9%)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

end0.0ms (0%)

sample272.0ms (23.2%)

Profiling