Details

analyze19.0ms (0.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
100%	0%	0%	1

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample10.0ms (0.5%)

Algorithm

1×

intervals

Results

4.0ms

256×

body

128

valid

Compiler

Compiled 14 to 12 computations (14.3% saved)

simplify8.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	7	7
2	7	7

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	0	0
Total	1	1

Error

0.0b

Counts

1 → 1

Alt Table

Status	Error	Program
▶	0.0b	(/.f64 (+.f64 x 16) 116)

Compiler

Compiled 12 to 10 computations (16.7% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (+.f64 x 16) 116)

rewrite39.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

18×	`*-un-lft-identity_binary64`
12×	`times-frac_binary64`
10×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`distribute-lft-out_binary64` `associate-/l*_binary64`
3×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/r*_binary64`

Counts

1 → 33

Calls

1 calls:

11.0ms

(/.f64 (+.f64 x 16) 116)

Compiler

Compiled 357 to 304 computations (14.8% saved)

series11.0ms (0.5%)

Error

0.0b

Counts

1 → 6

Calls

1 calls:

8.0ms

(/.f64 (+.f64 x 16) 116)

Compiler

Compiled 56 to 46 computations (17.9% saved)

simplify91.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

524×	`distribute-rgt-in_binary64`
412×	`distribute-lft-in_binary64`
380×	`associate-/l/_binary64`
344×	`div-sub_binary64`
341×	`unsub-neg_binary64`

Counts

39 → 14

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	68	489
1	134	457
2	279	454
3	535	454
4	1161	454
5	2374	454
6	4569	454
7	4779	454

prune10.0ms (0.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	13	1	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	2	15

Error

0.0b

Counts

15 → 2

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 (+.f64 x 16) 116)
▶	21.6b	(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 16 3)) (+.f64 29696 (.f64 x (.f64 116 (-.f64 x 16)))))

Compiler

Compiled 129 to 107 computations (17.1% saved)

localize10.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 116 (-.f64 x 16))
0.0b	(+.f64 29696 (.f64 x (.f64 116 (-.f64 x 16))))
0.1b	(.f64 x (.f64 116 (-.f64 x 16)))
20.8b	(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 16 3)) (+.f64 29696 (.f64 x (.f64 116 (-.f64 x 16)))))

rewrite242.0ms (10.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

73×	`*-un-lft-identity_binary64`
36×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
35×	`add-sqr-sqrt_binary64`
31×	`add-cube-cbrt_binary64`
30×	`cancel-sign-sub-inv_binary64`

Counts

4 → 148

Calls

4 calls:

16.0ms	(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 16 3)) (+.f64 29696 (.f64 x (.f64 116 (-.f64 x 16)))))
10.0ms	(*.f64 116 (-.f64 x 16))
8.0ms	(.f64 x (.f64 116 (-.f64 x 16)))
6.0ms	(+.f64 29696 (.f64 x (.f64 116 (-.f64 x 16))))

Compiler

Compiled 3463 to 2881 computations (16.8% saved)

series76.0ms (3.4%)

Error

0.0b

Counts

4 → 27

Calls

4 calls:

23.0ms	(+.f64 29696 (.f64 x (.f64 116 (-.f64 x 16))))
16.0ms	(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 16 3)) (+.f64 29696 (.f64 x (.f64 116 (-.f64 x 16)))))
14.0ms	(.f64 x (.f64 116 (-.f64 x 16)))
11.0ms	(*.f64 116 (-.f64 x 16))

Compiler

Compiled 747 to 630 computations (15.7% saved)

simplify158.0ms (7.1%)

Algorithm

1×	egg-herbie

Rules

504×	`distribute-rgt-in_binary64`
484×	`distribute-lft-in_binary64`
396×	`cancel-sign-sub-inv_binary64`
382×	`*-commutative_binary64`
144×	`times-frac_binary64`

Counts

175 → 155

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	202	3316
1	433	3138
2	1197	3129
3	3517	3129
4	4923	3129
5	4854	3129

prune112.0ms (5.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	154	1	155
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	155	2	157

Error

Counts

157 → 2

Alt Table

Status	Error	Program
▶	24.9b	(.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 4096)) (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 4096)) (+.f64 (.f64 x (+.f64 -1856 (*.f64 x 116))) 29696)))
✓	0.0b	(/.f64 (+.f64 x 16) 116)

Compiler

Compiled 2292 to 1862 computations (18.8% saved)

localize13.0ms (0.6%)

Local error

Found 4 expressions with local error:

4.7b	(.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 4096)) (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 4096)) (+.f64 (.f64 x (+.f64 -1856 (*.f64 x 116))) 29696)))
5.6b	(sqrt.f64 (+.f64 (pow.f64 x 3) 4096))
5.6b	(sqrt.f64 (+.f64 (pow.f64 x 3) 4096))
8.3b	(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 4096)) (+.f64 (.f64 x (+.f64 -1856 (.f64 x 116))) 29696))

rewrite232.0ms (10.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

58×	`*-un-lft-identity_binary64`
56×	`add-sqr-sqrt_binary64`
46×	`times-frac_binary64`
45×	`sqrt-prod_binary64`
38×	`add-cube-cbrt_binary64`

Counts

4 → 137

Calls

4 calls:

28.0ms	(.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 4096)) (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 4096)) (+.f64 (.f64 x (+.f64 -1856 (*.f64 x 116))) 29696)))
17.0ms	(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 4096)) (+.f64 (.f64 x (+.f64 -1856 (.f64 x 116))) 29696))
6.0ms	(sqrt.f64 (+.f64 (pow.f64 x 3) 4096))
6.0ms	(sqrt.f64 (+.f64 (pow.f64 x 3) 4096))

Compiler

Compiled 4244 to 3565 computations (16% saved)

series54.0ms (2.4%)

Error

Counts

4 → 16

Calls

4 calls:

17.0ms	(.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 4096)) (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 4096)) (+.f64 (.f64 x (+.f64 -1856 (*.f64 x 116))) 29696)))
11.0ms	(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 4096)) (+.f64 (.f64 x (+.f64 -1856 (.f64 x 116))) 29696))
11.0ms	(sqrt.f64 (+.f64 (pow.f64 x 3) 4096))
8.0ms	(sqrt.f64 (+.f64 (pow.f64 x 3) 4096))

Compiler

Compiled 517 to 426 computations (17.6% saved)

simplify153.0ms (6.9%)

Algorithm

1×	egg-herbie

Rules

514×	`associate-+l+_binary64`
442×	`associate-l_binary64`
372×	`associate-/l*_binary64`
355×	`associate-r_binary64`
289×	`distribute-rgt-in_binary64`

Counts

153 → 95

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	161	4495
1	367	4274
2	1115	4210
3	3425	4210
4	5143	4210

prune84.0ms (3.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	95	2	97

Error

Counts

97 → 2

Alt Table

Status	Error	Program
	24.9b	(.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 4096)) (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 4096)) (+.f64 (.f64 x (+.f64 -1856 (*.f64 x 116))) 29696)))
	0.0b	(/.f64 (+.f64 x 16) 116)

Compiler

Compiled 1914 to 1598 computations (16.5% saved)

regimes504.0ms (22.7%)

Accuracy

Total 0.0b remaining (71.2%)

Threshold costs 0.0b (71.2%)

Compiler

Compiled 7422 to 6240 computations (15.9% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	7	7
2	7	7

end1.0ms (0%)

Compiler: Compiled 6 to 5 computations (16.7% saved)

sample383.0ms (17.3%)

Algorithm

1×

intervals

Results

147.0ms

8000×

body

128

valid

Compiler

Compiled 44 to 37 computations (15.9% saved)

Details

analyze19.0ms (0.8%)

sample10.0ms (0.5%)

simplify8.0ms (0.4%)

prune2.0ms (0.1%)

localize3.0ms (0.1%)

rewrite39.0ms (1.7%)

series11.0ms (0.5%)

simplify91.0ms (4.1%)

prune10.0ms (0.5%)

localize10.0ms (0.5%)

rewrite242.0ms (10.9%)

series76.0ms (3.4%)

simplify158.0ms (7.1%)

prune112.0ms (5.1%)

localize13.0ms (0.6%)

rewrite232.0ms (10.5%)

series54.0ms (2.4%)

simplify153.0ms (6.9%)

prune84.0ms (3.8%)

regimes504.0ms (22.7%)

simplify3.0ms (0.1%)

end1.0ms (0%)

sample383.0ms (17.3%)

Profiling