Details

analyze338.0ms (7.2%)

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
25%	74.9%	0.1%	6
56.2%	43.7%	0.1%	7
56.2%	43.7%	0.1%	8
76.5%	23.4%	0.1%	9
76.5%	23.4%	0.1%	10
87.8%	12.1%	0.1%	11
87.8%	12.1%	0.1%	12
93.8%	6.1%	0.1%	13
93.8%	6.1%	0.1%	14

Compiler

Compiled 12 to 8 computations (33.3% saved)

sample1.6s (34.5%)

Results

1.5s

8256×

body

128

valid

Compiler

Compiled 35 to 23 computations (34.3% saved)

simplify86.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

959×	`fma-neg_binary64`
595×	`times-frac_binary64`
494×	`neg-mul-1_binary64`
491×	`neg-sub0_binary64`
301×	`associate-/l*_binary64`

Counts

1 → 2

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	19	13
2	52	10
3	113	10
4	203	10
5	436	10
6	758	10
7	2592	10
8	4299	10
9	5002	10

prune7.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

0.0b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	0.0b	(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
	16.2b	(/.f64 (-.f64 x y) (.f64 (.f64 x 2) y))

Compiler

Compiled 58 to 40 computations (31% saved)

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))

series14.0ms (0.3%)

Counts

1 → 24

Calls

1 calls:

13.0ms

(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))

rewrite28.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`*-un-lft-identity_binary64`
13×	`fma-def_binary64`
11×	`times-frac_binary64`
8×	`add-sqr-sqrt_binary64`
8×	`add-cube-cbrt_binary64`

Counts

1 → 29

Calls

1 calls:

24.0ms

(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))

simplify129.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

889×	`div-sub_binary64`
786×	`sub-neg_binary64`
324×	`distribute-rgt-in_binary64`
310×	`associate-*l/_binary64`
292×	`distribute-lft-in_binary64`

Counts

53 → 44

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	466
1	128	436
2	336	435
3	1291	435
4	3780	435
5	4265	435
6	4960	435
7	5783	435

prune49.0ms (1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	43	1	44
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	43	3	46

Error

Counts

46 → 3

Alt Table

Status	Error	Program
▶	1.3b	(.f64 (.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))) (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))))
✓	0.0b	(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
	16.2b	(/.f64 (-.f64 x y) (.f64 (.f64 x 2) y))

Compiler

Compiled 673 to 497 computations (26.2% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
✓	0.4b	(.f64 (.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))) (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))))
✓	0.5b	(*.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))))
✓	0.5b	(cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))

series141.0ms (3%)

Counts

3 → 72

Calls

3 calls:

61.0ms

(*.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))))

46.0ms

(cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))

34.0ms

(*.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))) (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))))

rewrite213.0ms (4.5%)

Algorithm

1×	rewrite-expression-head

Rules

171×	`cbrt-div_binary64`
90×	`frac-times_binary64`
57×	`flip-+_binary64`
57×	`flip3-+_binary64`
57×	`frac-add_binary64`

Counts

3 → 186

Calls

3 calls:

78.0ms

(*.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))) (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))))

49.0ms

(*.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))))

19.0ms

(cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))

simplify477.0ms (10.1%)

Algorithm

1×	egg-herbie

Rules

483×	`cancel-sign-sub-inv_binary64`
323×	`associate-l_binary64`
265×	`associate-r_binary64`
248×	`*-commutative_binary64`
196×	`fma-neg_binary64`

Counts

258 → 343

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	438	10698
1	1080	9883
2	3363	9393
3	5045	9393

prune1.2s (25.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	615	0	615
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	615	3	618

Error

Counts

618 → 3

Alt Table

Status	Error	Program
✓	1.3b	(.f64 (.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))) (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))))
✓	0.0b	(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
▶	16.2b	(/.f64 (-.f64 x y) (.f64 (.f64 x 2) y))

Compiler

Compiled 25005 to 19005 computations (24% saved)

localize10.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	15.6b	(/.f64 (-.f64 x y) (.f64 (.f64 x 2) y))

series19.0ms (0.4%)

Counts

1 → 24

Calls

1 calls:

19.0ms

(/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))

rewrite17.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-cbrt-cube_binary64`
10×	`add-exp-log_binary64`
7×	`*-un-lft-identity_binary64`
7×	`add-sqr-sqrt_binary64`
5×	`associate-/l*_binary64`

Counts

1 → 32

Calls

1 calls:

14.0ms

(/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y))

simplify80.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

749×	`fma-def_binary64`
658×	`times-frac_binary64`
546×	`associate-/r*_binary64`
522×	`associate-l_binary64`
490×	`div-sub_binary64`

Counts

56 → 50

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	90	826
1	241	704
2	891	655
3	4160	655
4	6127	655

prune43.0ms (0.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	50	0	50
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	50	3	53

Error

Counts

53 → 3

Alt Table

Status	Error	Program
✓	1.3b	(.f64 (.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))) (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))))
✓	0.0b	(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
✓	16.2b	(/.f64 (-.f64 x y) (.f64 (.f64 x 2) y))

Compiler

Compiled 792 to 411 computations (48.1% saved)

regimes92.0ms (2%)

Accuracy

Total 0.0b remaining (51.9%)

Threshold costs 0.0b (51.9%)

Counts

14 → 1

Compiler

Compiled 673 to 523 computations (22.3% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	9	10
2	9	10

end109.0ms (2.3%)

Compiler: Compiled 66 to 50 computations (24.2% saved)

Details

analyze338.0ms (7.2%)

sample1.6s (34.5%)

simplify86.0ms (1.8%)

prune7.0ms (0.1%)

localize8.0ms (0.2%)

series14.0ms (0.3%)

rewrite28.0ms (0.6%)

simplify129.0ms (2.7%)

prune49.0ms (1%)

localize15.0ms (0.3%)

series141.0ms (3%)

rewrite213.0ms (4.5%)

simplify477.0ms (10.1%)

prune1.2s (25.7%)

localize10.0ms (0.2%)

series19.0ms (0.4%)

rewrite17.0ms (0.4%)

simplify80.0ms (1.7%)

prune43.0ms (0.9%)

regimes92.0ms (2%)

simplify3.0ms (0.1%)

end109.0ms (2.3%)

Profiling