Details

analyze64.0ms (4.4%)

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
25%	62.4%	12.6%	6
25%	40.6%	34.4%	7
31.2%	25%	43.8%	8
39%	17.2%	43.8%	9
42.9%	13.3%	43.8%	10
47.2%	9%	43.8%	11
49.4%	6.8%	43.8%	12
51.6%	4.6%	43.8%	13
52.7%	3.5%	43.8%	14

Compiler

Compiled 12 to 9 computations (25% saved)

sample17.0ms (1.2%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 23 to 19 computations (17.4% saved)

simplify96.0ms (6.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	24	13
1	24	13

prune3.0ms (0.2%)

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

Error

0.0b

Counts

2 → 2

Compiler

Compiled 29 to 22 computations (24.1% saved)

localize5.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x (+.f64 x 2)) (.f64 y y))
0.0b	(*.f64 x (+.f64 x 2))

rewrite16.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`*-un-lft-identity_binary64_12695` `add-sqr-sqrt_binary64_12717`
4×	`add-cube-cbrt_binary64_12730` `add-exp-log_binary64_12733` `associate-r_binary64_12635` `pow1_binary64_12756` `add-log-exp_binary64_12734` `add-cbrt-cube_binary64_12731`
3×	`associate-l_binary64_12636`
2×	`associate-+l+_binary64_12628` `flip-+_binary64_12669` `distribute-rgt-in_binary64_12645` `flip3-+_binary64_12698` `associate-*r/_binary64_12637` `distribute-lft-in_binary64_12644`
1×	`prod-exp_binary64_12744` `distribute-lft-out_binary64_12646` `pow-prod-down_binary64_12766` `*-commutative_binary64_12626` `sum-log_binary64_12786` `unswap-sqr_binary64_12663` `+-commutative_binary64_12625` `cbrt-unprod_binary64_12728`

Counts

2 → 36

Calls

2 calls:

7.0ms	(+.f64 (.f64 x (+.f64 x 2)) (.f64 y y))
7.0ms	(*.f64 x (+.f64 x 2))

series56.0ms (3.8%)

Counts

2 → 6

Calls

2 calls:

34.0ms	(*.f64 x (+.f64 x 2))
21.0ms	(+.f64 (.f64 x (+.f64 x 2)) (.f64 y y))

simplify60.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5006	509

prune29.0ms (2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	41	1	42
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	41	3	44

Error

Counts

44 → 3

Compiler

Compiled 605 to 329 computations (45.6% saved)

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (+.f64 (.f64 x 2) (.f64 x x)) (*.f64 y y))
0.0b	(+.f64 (.f64 x 2) (.f64 x x))

rewrite14.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-log-exp_binary64_12734`
4×	`sum-log_binary64_12786`
2×	`*-un-lft-identity_binary64_12695` `add-cube-cbrt_binary64_12730` `flip-+_binary64_12669` `flip3-+_binary64_12698` `add-exp-log_binary64_12733` `add-sqr-sqrt_binary64_12717` `+-commutative_binary64_12625` `pow1_binary64_12756` `add-cbrt-cube_binary64_12731`
1×	`associate-+l+_binary64_12628` `distribute-lft-out_binary64_12646`

Counts

2 → 25

Calls

2 calls:

7.0ms	(+.f64 (+.f64 (.f64 x 2) (.f64 x x)) (*.f64 y y))
6.0ms	(+.f64 (.f64 x 2) (.f64 x x))

series56.0ms (3.8%)

Counts

2 → 6

Calls

2 calls:

34.0ms	(+.f64 (.f64 x 2) (.f64 x x))
22.0ms	(+.f64 (+.f64 (.f64 x 2) (.f64 x x)) (*.f64 y y))

simplify76.0ms (5.2%)

Algorithm

1×	egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4963	439
1	4963	439

prune22.0ms (1.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	31	0	31
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	31	3	34

Error

Counts

34 → 3

Compiler

Compiled 464 to 251 computations (45.9% saved)

localize10.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 x (+.f64 x 2))
0.0b	(sqrt.f64 (+.f64 (.f64 x (+.f64 x 2)) (.f64 y y)))
0.0b	(sqrt.f64 (+.f64 (.f64 x (+.f64 x 2)) (.f64 y y)))
0.1b	(.f64 (sqrt.f64 (+.f64 (.f64 x (+.f64 x 2)) (.f64 y y))) (sqrt.f64 (+.f64 (.f64 x (+.f64 x 2)) (*.f64 y y))))

rewrite49.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`add-sqr-sqrt_binary64_12717`
24×	`sqrt-prod_binary64_12711`
23×	`pow1_binary64_12756`
18×	`*-un-lft-identity_binary64_12695`
16×	`add-cube-cbrt_binary64_12730` `sqrt-div_binary64_12712`
10×	`sqrt-pow1_binary64_12713` `associate-r_binary64_12635` `pow1/2_binary64_12775`
9×	`associate-l_binary64_12636` `flip-+_binary64_12669` `flip3-+_binary64_12698`
8×	`swap-sqr_binary64_12662` `add-exp-log_binary64_12733` `add-cbrt-cube_binary64_12731`
5×	`pow-prod-up_binary64_12765` `unswap-sqr_binary64_12663`
4×	`frac-times_binary64_12705` `pow-prod-down_binary64_12766` `add-log-exp_binary64_12734` `rem-sqrt-square_binary64_12708` `associate-*r/_binary64_12637`
3×	`pow-sqr_binary64_12668`
2×	`prod-exp_binary64_12744` `-commutative_binary64_12626` `associate-l/_binary64_12638` `cbrt-unprod_binary64_12728`
1×	`distribute-lft-out_binary64_12646` `sqrt-unprod_binary64_12715` `pow2_binary64_12776` `distribute-rgt-in_binary64_12645` `pow-plus_binary64_12758` `rem-square-sqrt_binary64_12707` `sqr-abs_binary64_12710` `distribute-lft-in_binary64_12644`

Counts

4 → 111

Calls

4 calls:

19.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 x (+.f64 x 2)) (.f64 y y))) (sqrt.f64 (+.f64 (.f64 x (+.f64 x 2)) (*.f64 y y))))
6.0ms	(*.f64 x (+.f64 x 2))
6.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 x 2)) (.f64 y y)))
6.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 x 2)) (.f64 y y)))

series158.0ms (10.8%)

Counts

4 → 12

Calls

4 calls:

58.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 x 2)) (.f64 y y)))
50.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 x 2)) (.f64 y y)))
25.0ms	(*.f64 x (+.f64 x 2))
25.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 x (+.f64 x 2)) (.f64 y y))) (sqrt.f64 (+.f64 (.f64 x (+.f64 x 2)) (*.f64 y y))))

simplify75.0ms (5.1%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4931	2107
1	4931	2107

prune130.0ms (8.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	123	3	126

Error

Counts

126 → 3

Compiler

Compiled 2891 to 1648 computations (43% saved)

regimes56.0ms (3.8%)

Accuracy

Total 0.0b remaining (53.1%)

Threshold costs 0.0b (53.1%)

Compiler

Compiled 311 to 237 computations (23.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	13
1	11	13

end0.0ms (0%)

sample463.0ms (31.6%)

Algorithm

1×

intervals

Results

228.0ms	8000×	body	128	valid
0.0ms	4×	body	128	invalid

Compiler

Compiled 85 to 65 computations (23.5% saved)

Details

analyze64.0ms (4.4%)

sample17.0ms (1.2%)

simplify96.0ms (6.5%)

prune3.0ms (0.2%)

localize5.0ms (0.4%)

rewrite16.0ms (1.1%)

series56.0ms (3.8%)

simplify60.0ms (4.1%)

prune29.0ms (2%)

localize6.0ms (0.4%)

rewrite14.0ms (1%)

series56.0ms (3.8%)

simplify76.0ms (5.2%)

prune22.0ms (1.5%)

localize10.0ms (0.7%)

rewrite49.0ms (3.4%)

series158.0ms (10.8%)

simplify75.0ms (5.1%)

prune130.0ms (8.9%)

regimes56.0ms (3.8%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample463.0ms (31.6%)

Profiling