Details

analyze69.0ms (5.8%)

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)

sample13.0ms (1.1%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 23 to 19 computations (17.4% saved)

simplify168.0ms (14.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	24	13
1	24	13

prune4.0ms (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 → 2

Compiler

Compiled 49 to 37 computations (24.5% saved)

localize6.0ms (0.5%)

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))

rewrite17.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`*-un-lft-identity_binary64_13495` `add-sqr-sqrt_binary64_13517`
4×	`add-cbrt-cube_binary64_13531` `add-exp-log_binary64_13533` `add-cube-cbrt_binary64_13530` `associate-r_binary64_13435` `add-log-exp_binary64_13534` `pow1_binary64_13556`
3×	`associate-l_binary64_13436`
2×	`flip-+_binary64_13469` `associate-*r/_binary64_13437` `associate-+l+_binary64_13428` `distribute-lft-in_binary64_13444` `distribute-rgt-in_binary64_13445` `flip3-+_binary64_13498`
1×	`cbrt-unprod_binary64_13528` `unswap-sqr_binary64_13463` `distribute-lft-out_binary64_13446` `*-commutative_binary64_13426` `pow-prod-down_binary64_13566` `sum-log_binary64_13586` `+-commutative_binary64_13425` `prod-exp_binary64_13544`

Counts

2 → 36

Calls

2 calls:

8.0ms	(+.f64 (.f64 x (+.f64 x 2)) (.f64 y y))
7.0ms	(*.f64 x (+.f64 x 2))

series93.0ms (7.8%)

Counts

2 → 6

Calls

2 calls:

56.0ms	(*.f64 x (+.f64 x 2))
37.0ms	(+.f64 (.f64 x (+.f64 x 2)) (.f64 y y))

simplify72.0ms (6.1%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5451	509

prune29.0ms (2.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	42	0	42
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	42	2	44

Merged error: 0.0b

Counts

44 → 2

Compiler

Compiled 584 to 304 computations (47.9% saved)

localize7.0ms (0.6%)

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))

rewrite13.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-log-exp_binary64_13534`
4×	`sum-log_binary64_13586`
2×	`add-cbrt-cube_binary64_13531` `flip-+_binary64_13469` `add-exp-log_binary64_13533` `add-cube-cbrt_binary64_13530` `*-un-lft-identity_binary64_13495` `add-sqr-sqrt_binary64_13517` `+-commutative_binary64_13425` `pow1_binary64_13556` `flip3-+_binary64_13498`
1×	`associate-+l+_binary64_13428` `distribute-lft-out_binary64_13446`

Counts

2 → 25

Calls

2 calls:

7.0ms	(+.f64 (+.f64 (.f64 x 2) (.f64 x x)) (*.f64 y y))
4.0ms	(+.f64 (.f64 x 2) (.f64 x x))

series119.0ms (10%)

Counts

2 → 6

Calls

2 calls:

77.0ms	(+.f64 (.f64 x 2) (.f64 x x))
42.0ms	(+.f64 (+.f64 (.f64 x 2) (.f64 x x)) (*.f64 y y))

simplify69.0ms (5.8%)

Algorithm

1×	egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4941	439
1	4941	439

prune21.0ms (1.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	31	0	31
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	31	2	33

Merged error: 0.0b

Counts

33 → 2

Compiler

Compiled 443 to 237 computations (46.5% saved)

regimes44.0ms (3.7%)

Compiler: Compiled 146 to 117 computations (19.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	13
1	11	13

end0.0ms (0%)

sample442.0ms (37.2%)

Algorithm

1×

intervals

Results

233.0ms	8000×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 52 to 41 computations (21.2% saved)

Details

analyze69.0ms (5.8%)

sample13.0ms (1.1%)

simplify168.0ms (14.1%)

prune4.0ms (0.4%)

localize6.0ms (0.5%)

rewrite17.0ms (1.5%)

series93.0ms (7.8%)

simplify72.0ms (6.1%)

prune29.0ms (2.4%)

localize7.0ms (0.6%)

rewrite13.0ms (1.1%)

series119.0ms (10%)

simplify69.0ms (5.8%)

prune21.0ms (1.8%)

regimes44.0ms (3.7%)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

end0.0ms (0%)

sample442.0ms (37.2%)

Profiling