Details

analyze2.1s (27.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
7.8%	92%	0.2%	11
11.7%	88.1%	0.2%	12
17.9%	81.8%	0.2%	13
22.6%	77.2%	0.2%	14

Compiler

Compiled 19 to 14 computations (26.3% saved)

sample1.3s (17.5%)

Results

1.1s	8143×	body	128	valid
85.0ms	652×	body	128	invalid
20.0ms	47×	body	1024	valid
8.0ms	30×	body	512	valid
8.0ms	18×	body	2048	valid
4.0ms	7×	body	4096	valid
2.0ms	11×	body	256	valid

Compiler

Compiled 56 to 41 computations (26.8% saved)

simplify110.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1714×	`fma-neg_binary64`
791×	`div-sub_binary64`
702×	`fma-def_binary64`
633×	`distribute-rgt-in_binary64`
427×	`times-frac_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	19
1	23	17
2	46	17
3	90	17
4	173	17
5	320	17
6	671	17
7	1532	17
8	2980	17
9	3024	17
10	3167	17
11	3232	17
12	3299	17
13	3318	17
14	5334	17

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.4b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.4b	(fma.f64 a 120 (/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t)))

Compiler

Compiled 64 to 42 computations (34.4% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 a 120 (/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t)))
✓	0.0b	(*.f64 60 (-.f64 x y))
✓	0.5b	(/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t))

series90.0ms (1.2%)

Counts

3 → 132

Calls

3 calls:

44.0ms	(/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t))
42.0ms	(fma.f64 a 120 (/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t)))
4.0ms	(*.f64 60 (-.f64 x y))

rewrite21.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`add-sqr-sqrt_binary64`
27×	`*-un-lft-identity_binary64`
21×	`add-cube-cbrt_binary64`
18×	`prod-diff_binary64`
13×	`distribute-lft-in_binary64`

Counts

3 → 91

Calls

3 calls:

8.0ms	(*.f64 60 (-.f64 x y))
7.0ms	(/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t))
0.0ms	(fma.f64 a 120 (/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t)))

simplify116.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

742×	`cancel-sign-sub-inv_binary64`
331×	`sub-neg_binary64`
233×	`fma-neg_binary64`
229×	`fma-def_binary64`
197×	`associate-/l*_binary64`

Counts

223 → 163

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	319	4894
1	845	4557
2	3320	4449
3	5001	4449

prune170.0ms (2.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	157	6	163
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	157	7	164

Error

0.0b

Counts

164 → 7

Alt Table

Status	Error	Program
	0.7b	(fma.f64 a 120 (/.f64 (.f64 (.f64 (cbrt.f64 60) (cbrt.f64 60)) (*.f64 (cbrt.f64 60) (-.f64 x y))) (-.f64 z t)))
▶	0.1b	(fma.f64 a 120 (-.f64 (.f64 60 (/.f64 x (-.f64 z t))) (.f64 60 (/.f64 y (-.f64 z t)))))
✓	0.4b	(fma.f64 a 120 (/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t)))
	0.6b	(fma.f64 a 120 (.f64 (/.f64 60 (.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t)))) (/.f64 (-.f64 x y) (cbrt.f64 (-.f64 z t)))))
	0.5b	(fma.f64 a 120 (/.f64 (.f64 (sqrt.f64 60) (.f64 (sqrt.f64 60) (-.f64 x y))) (-.f64 z t)))
	20.6b	(fma.f64 120 a (*.f64 60 (-.f64 (/.f64 y t) (/.f64 x t))))
	30.0b	(fma.f64 a 120 (/.f64 (.f64 60 (-.f64 (.f64 x x) (.f64 y y))) (.f64 (-.f64 z t) (+.f64 x y))))

Compiler

Compiled 4490 to 2170 computations (51.7% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 60 (/.f64 x (-.f64 z t))) (.f64 60 (/.f64 y (-.f64 z t))))
✓	0.0b	(fma.f64 a 120 (-.f64 (.f64 60 (/.f64 x (-.f64 z t))) (.f64 60 (/.f64 y (-.f64 z t)))))
✓	0.2b	(*.f64 60 (/.f64 y (-.f64 z t)))
✓	0.3b	(*.f64 60 (/.f64 x (-.f64 z t)))

series146.0ms (2%)

Counts

4 → 138

Calls

4 calls:

55.0ms	(fma.f64 a 120 (-.f64 (.f64 60 (/.f64 x (-.f64 z t))) (.f64 60 (/.f64 y (-.f64 z t)))))
47.0ms	(-.f64 (.f64 60 (/.f64 x (-.f64 z t))) (.f64 60 (/.f64 y (-.f64 z t))))
23.0ms	(*.f64 60 (/.f64 x (-.f64 z t)))
21.0ms	(*.f64 60 (/.f64 y (-.f64 z t)))

rewrite32.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

46×	`add-sqr-sqrt_binary64`
42×	`associate-r_binary64`
36×	`*-un-lft-identity_binary64`
32×	`times-frac_binary64`
24×	`add-cube-cbrt_binary64`

Counts

4 → 113

Calls

4 calls:

12.0ms	(*.f64 60 (/.f64 x (-.f64 z t)))
7.0ms	(*.f64 60 (/.f64 y (-.f64 z t)))
6.0ms	(-.f64 (.f64 60 (/.f64 x (-.f64 z t))) (.f64 60 (/.f64 y (-.f64 z t))))
0.0ms	(fma.f64 a 120 (-.f64 (.f64 60 (/.f64 x (-.f64 z t))) (.f64 60 (/.f64 y (-.f64 z t)))))

simplify152.0ms (2%)

Algorithm

1×	egg-herbie

Rules

870×	`times-frac_binary64`
342×	`sub-neg_binary64`
322×	`fma-neg_binary64`
240×	`fma-def_binary64`
167×	`associate-/l*_binary64`

Counts

251 → 224

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	334	6505
1	980	6245
2	3374	6236
3	5084	6236

prune251.0ms (3.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	224	0	224
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	224	7	231

Error

0.0b

Counts

231 → 7

Alt Table

Status	Error	Program
	0.7b	(fma.f64 a 120 (/.f64 (.f64 (.f64 (cbrt.f64 60) (cbrt.f64 60)) (*.f64 (cbrt.f64 60) (-.f64 x y))) (-.f64 z t)))
✓	0.1b	(fma.f64 a 120 (-.f64 (.f64 60 (/.f64 x (-.f64 z t))) (.f64 60 (/.f64 y (-.f64 z t)))))
✓	0.4b	(fma.f64 a 120 (/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t)))
	0.6b	(fma.f64 a 120 (.f64 (/.f64 60 (.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t)))) (/.f64 (-.f64 x y) (cbrt.f64 (-.f64 z t)))))
▶	0.5b	(fma.f64 a 120 (/.f64 (.f64 (sqrt.f64 60) (.f64 (sqrt.f64 60) (-.f64 x y))) (-.f64 z t)))
	20.6b	(fma.f64 120 a (*.f64 60 (-.f64 (/.f64 y t) (/.f64 x t))))
	30.0b	(fma.f64 a 120 (/.f64 (.f64 60 (-.f64 (.f64 x x) (.f64 y y))) (.f64 (-.f64 z t) (+.f64 x y))))

Compiler

Compiled 6791 to 3120 computations (54.1% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 a 120 (/.f64 (.f64 (sqrt.f64 60) (.f64 (sqrt.f64 60) (-.f64 x y))) (-.f64 z t)))
✓	0.2b	(*.f64 (sqrt.f64 60) (-.f64 x y))
✓	0.3b	(.f64 (sqrt.f64 60) (.f64 (sqrt.f64 60) (-.f64 x y)))
✓	0.5b	(/.f64 (.f64 (sqrt.f64 60) (.f64 (sqrt.f64 60) (-.f64 x y))) (-.f64 z t))

series209.0ms (2.8%)

Counts

4 → 156

Calls

4 calls:

94.0ms	(/.f64 (.f64 (sqrt.f64 60) (.f64 (sqrt.f64 60) (-.f64 x y))) (-.f64 z t))
90.0ms	(fma.f64 a 120 (/.f64 (.f64 (sqrt.f64 60) (.f64 (sqrt.f64 60) (-.f64 x y))) (-.f64 z t)))
18.0ms	(.f64 (sqrt.f64 60) (.f64 (sqrt.f64 60) (-.f64 x y)))
6.0ms	(*.f64 (sqrt.f64 60) (-.f64 x y))

rewrite45.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

65×	`distribute-lft-in_binary64`
65×	`distribute-rgt-in_binary64`
63×	`add-sqr-sqrt_binary64`
59×	`*-un-lft-identity_binary64`
54×	`prod-diff_binary64`

Counts

4 → 174

Calls

4 calls:

13.0ms	(/.f64 (.f64 (sqrt.f64 60) (.f64 (sqrt.f64 60) (-.f64 x y))) (-.f64 z t))
9.0ms	(.f64 (sqrt.f64 60) (.f64 (sqrt.f64 60) (-.f64 x y)))
7.0ms	(*.f64 (sqrt.f64 60) (-.f64 x y))
0.0ms	(fma.f64 a 120 (/.f64 (.f64 (sqrt.f64 60) (.f64 (sqrt.f64 60) (-.f64 x y))) (-.f64 z t)))

simplify165.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

584×	`cancel-sign-sub-inv_binary64`
352×	`associate-l_binary64`
308×	`associate-r_binary64`
274×	`associate-/l*_binary64`
260×	`sub-neg_binary64`

Counts

330 → 273

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	387	7514
1	820	6737
2	3584	5989
3	5130	5989

prune335.0ms (4.5%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	273	0	273
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	273	7	280

Error

0.0b

Counts

280 → 7

Alt Table

Status	Error	Program
	0.7b	(fma.f64 a 120 (/.f64 (.f64 (.f64 (cbrt.f64 60) (cbrt.f64 60)) (*.f64 (cbrt.f64 60) (-.f64 x y))) (-.f64 z t)))
✓	0.1b	(fma.f64 a 120 (-.f64 (.f64 60 (/.f64 x (-.f64 z t))) (.f64 60 (/.f64 y (-.f64 z t)))))
✓	0.4b	(fma.f64 a 120 (/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t)))
▶	0.6b	(fma.f64 a 120 (.f64 (/.f64 60 (.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t)))) (/.f64 (-.f64 x y) (cbrt.f64 (-.f64 z t)))))
✓	0.5b	(fma.f64 a 120 (/.f64 (.f64 (sqrt.f64 60) (.f64 (sqrt.f64 60) (-.f64 x y))) (-.f64 z t)))
	20.6b	(fma.f64 120 a (*.f64 60 (-.f64 (/.f64 y t) (/.f64 x t))))
	30.0b	(fma.f64 a 120 (/.f64 (.f64 60 (-.f64 (.f64 x x) (.f64 y y))) (.f64 (-.f64 z t) (+.f64 x y))))

Compiler

Compiled 8327 to 4686 computations (43.7% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 60 (*.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t))))
✓	0.3b	(.f64 (/.f64 60 (.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t)))) (/.f64 (-.f64 x y) (cbrt.f64 (-.f64 z t))))
✓	0.5b	(cbrt.f64 (-.f64 z t))
✓	0.5b	(*.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t)))

series183.0ms (2.5%)

Counts

4 → 120

Calls

4 calls:

61.0ms	(/.f64 60 (*.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t))))
46.0ms	(.f64 (/.f64 60 (.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t)))) (/.f64 (-.f64 x y) (cbrt.f64 (-.f64 z t))))
38.0ms	(cbrt.f64 (-.f64 z t))
37.0ms	(*.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t)))

rewrite74.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

96×	`add-sqr-sqrt_binary64`
78×	`*-un-lft-identity_binary64`
60×	`cbrt-prod_binary64`
54×	`associate-r_binary64`
53×	`times-frac_binary64`

Counts

4 → 199

Calls

4 calls:

28.0ms	(.f64 (/.f64 60 (.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t)))) (/.f64 (-.f64 x y) (cbrt.f64 (-.f64 z t))))
9.0ms	(*.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t)))
8.0ms	(/.f64 60 (*.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t))))
4.0ms	(cbrt.f64 (-.f64 z t))

simplify192.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

339×	`associate-l_binary64`
293×	`fma-def_binary64`
266×	`associate-/r*_binary64`
260×	`associate-*r/_binary64`
246×	`times-frac_binary64`

Counts

319 → 338

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	553	9787
1	1557	8996
2	4961	8996
3	4967	8996

prune416.0ms (5.6%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	442	0	442
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	442	7	449

Error

0.0b

Counts

449 → 7

Alt Table

Status	Error	Program
	0.7b	(fma.f64 a 120 (/.f64 (.f64 (.f64 (cbrt.f64 60) (cbrt.f64 60)) (*.f64 (cbrt.f64 60) (-.f64 x y))) (-.f64 z t)))
✓	0.1b	(fma.f64 a 120 (-.f64 (.f64 60 (/.f64 x (-.f64 z t))) (.f64 60 (/.f64 y (-.f64 z t)))))
✓	0.4b	(fma.f64 a 120 (/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t)))
✓	0.6b	(fma.f64 a 120 (.f64 (/.f64 60 (.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t)))) (/.f64 (-.f64 x y) (cbrt.f64 (-.f64 z t)))))
✓	0.5b	(fma.f64 a 120 (/.f64 (.f64 (sqrt.f64 60) (.f64 (sqrt.f64 60) (-.f64 x y))) (-.f64 z t)))
	20.6b	(fma.f64 120 a (*.f64 60 (-.f64 (/.f64 y t) (/.f64 x t))))
	30.0b	(fma.f64 a 120 (/.f64 (.f64 60 (-.f64 (.f64 x x) (.f64 y y))) (.f64 (-.f64 z t) (+.f64 x y))))

Compiler

Compiled 16431 to 6750 computations (58.9% saved)

regimes1.2s (16.3%)

Accuracy

Total 0.1b remaining (86.5%)

Threshold costs 0.1b (86.5%)

Counts

103 → 1

Compiler

Compiled 24796 to 17410 computations (29.8% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
2×	`*-commutative_binary64`
2×	`sub-neg_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	24
1	18	24
2	23	24
3	25	24
4	26	24
5	26	24

end104.0ms (1.4%)

Compiler: Compiled 199 to 133 computations (33.2% saved)

Details

analyze2.1s (27.6%)

sample1.3s (17.5%)

simplify110.0ms (1.5%)

prune3.0ms (0%)

localize9.0ms (0.1%)

series90.0ms (1.2%)

rewrite21.0ms (0.3%)

simplify116.0ms (1.6%)

prune170.0ms (2.3%)

localize10.0ms (0.1%)

series146.0ms (2%)

rewrite32.0ms (0.4%)

simplify152.0ms (2%)

prune251.0ms (3.4%)

localize10.0ms (0.1%)

series209.0ms (2.8%)

rewrite45.0ms (0.6%)

simplify165.0ms (2.2%)

prune335.0ms (4.5%)

localize12.0ms (0.2%)

series183.0ms (2.5%)

rewrite74.0ms (1%)

simplify192.0ms (2.6%)

prune416.0ms (5.6%)

regimes1.2s (16.3%)

simplify7.0ms (0.1%)

end104.0ms (1.4%)

Profiling