Details

analyze985.0ms (15.7%)

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
6.2%	93.6%	0.2%	9
9.4%	90.4%	0.2%	10
18.7%	70.2%	11.1%	11
21.1%	66.7%	12.3%	12
31.6%	55.9%	12.5%	13
34.5%	52.3%	13.2%	14

Compiler

Compiled 14 to 9 computations (35.7% saved)

sample1.3s (20.3%)

Results

1.0s	8256×	body	128	valid
225.0ms	1891×	body	128	invalid

Compiler

Compiled 41 to 26 computations (36.6% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

22×	`fma-def_binary64`
7×	`+-commutative_binary64`
4×	`associate-+r+_binary64`
4×	`associate-+l+_binary64`
3×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	9
1	15	9
2	25	9
3	48	9
4	65	9

Stop Event

1×

saturated

Counts

1 → 2

prune3.0ms (0%)

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
	0.1b	(fma.f64 y (fma.f64 x y z) t)
▶	0.1b	(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)

Compiler

Compiled 68 to 38 computations (44.1% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 x y) z)
✓	0.0b	(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)
✓	0.1b	(.f64 (+.f64 (.f64 x y) z) y)

series30.0ms (0.5%)

Counts

3 → 120

Calls

3 calls:

17.0ms	(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)
8.0ms	(.f64 (+.f64 (.f64 x y) z) y)
5.0ms	(+.f64 (*.f64 x y) z)

rewrite71.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

520×	`log-prod_binary64`
465×	`fma-def_binary64`
231×	`fma-neg_binary64`
188×	`expm1-udef_binary64`
188×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	22
1	199	22
2	2827	22

Stop Event

1×	node limit

Counts

3 → 138

Calls

3 calls:

67.0ms	(+.f64 (*.f64 x y) z)
67.0ms	(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)
67.0ms	(.f64 (+.f64 (.f64 x y) z) y)

simplify103.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

538×	`associate-l_binary64`
512×	`fma-def_binary64`
434×	`unswap-sqr_binary64`
370×	`sqr-pow_binary64`
337×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	17	1061
1	36	993
2	54	870
3	86	804
4	189	804
5	519	804
6	1792	804
7	3127	804
8	3333	804
9	3546	804
10	3766	804
11	4074	804
12	4474	804
13	4984	804

Stop Event

1×	node limit

Counts

258 → 155

prune115.0ms (1.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	150	5	155
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	151	6	157

Error

Counts

157 → 6

Alt Table

Status	Error	Program
	33.1b	(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (fma.f64 x y z)) t)
	30.6b	(+.f64 (pow.f64 (sqrt.f64 (*.f64 y (fma.f64 x y z))) 2) t)
✓	0.1b	(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)
▶	0.6b	(+.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y z)) 3) y) t)
	8.1b	(fma.f64 (.f64 (fma.f64 x y z) (cbrt.f64 (.f64 y y))) (cbrt.f64 y) t)
	22.0b	(+.f64 (/.f64 (.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 z z)) y) (-.f64 (.f64 x y) z)) t)

Compiler

Compiled 2324 to 815 computations (64.9% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y z)) 3) y) t)
✓	0.1b	(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y z)) 3) y)
✓	0.6b	(cbrt.f64 (fma.f64 x y z))
✓	0.7b	(pow.f64 (cbrt.f64 (fma.f64 x y z)) 3)

series1.4s (22.3%)

Counts

4 → 156

Calls

4 calls:

1.3s	(pow.f64 (cbrt.f64 (fma.f64 x y z)) 3)
46.0ms	(cbrt.f64 (fma.f64 x y z))
14.0ms	(+.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y z)) 3) y) t)
10.0ms	(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y z)) 3) y)

rewrite55.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

895×	`prod-diff_binary64`
189×	`expm1-udef_binary64`
189×	`log1p-udef_binary64`
106×	`add-sqr-sqrt_binary64`
103×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	29
1	230	29
2	2741	29

Stop Event

1×	node limit

Counts

4 → 101

Calls

4 calls:

53.0ms	(+.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y z)) 3) y) t)
53.0ms	(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y z)) 3) y)
53.0ms	(cbrt.f64 (fma.f64 x y z))
53.0ms	(pow.f64 (cbrt.f64 (fma.f64 x y z)) 3)

simplify77.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

636×	`fma-def_binary64`
276×	`unswap-sqr_binary64`
273×	`cancel-sign-sub-inv_binary64`
216×	`associate-r_binary64`
212×	`times-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	224	4005
1	777	3821
2	3121	3420

Stop Event

1×	node limit

Counts

257 → 193

prune140.0ms (2.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	193	0	193
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	193	6	199

Error

Counts

199 → 6

Alt Table

Status	Error	Program
	33.1b	(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (fma.f64 x y z)) t)
	30.6b	(+.f64 (pow.f64 (sqrt.f64 (*.f64 y (fma.f64 x y z))) 2) t)
✓	0.1b	(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)
✓	0.6b	(+.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y z)) 3) y) t)
▶	8.1b	(fma.f64 (.f64 (fma.f64 x y z) (cbrt.f64 (.f64 y y))) (cbrt.f64 y) t)
	22.0b	(+.f64 (/.f64 (.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 z z)) y) (-.f64 (.f64 x y) z)) t)

Compiler

Compiled 4805 to 2606 computations (45.8% saved)

localize72.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(fma.f64 (.f64 (fma.f64 x y z) (cbrt.f64 (.f64 y y))) (cbrt.f64 y) t)
✓	0.3b	(.f64 (fma.f64 x y z) (cbrt.f64 (.f64 y y)))
✓	0.6b	(cbrt.f64 y)
✓	21.6b	(cbrt.f64 (*.f64 y y))

series616.0ms (9.8%)

Counts

4 → 108

Calls

4 calls:

403.0ms	(fma.f64 (.f64 (fma.f64 x y z) (cbrt.f64 (.f64 y y))) (cbrt.f64 y) t)
156.0ms	(.f64 (fma.f64 x y z) (cbrt.f64 (.f64 y y)))
29.0ms	(cbrt.f64 (*.f64 y y))
28.0ms	(cbrt.f64 y)

rewrite57.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

891×	`log1p-expm1-u_binary64`
891×	`expm1-log1p-u_binary64`
138×	`prod-diff_binary64`
105×	`add-sqr-sqrt_binary64`
97×	`add-cube-cbrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	41
1	214	33
2	2491	33

Stop Event

1×	node limit

Counts

4 → 89

Calls

4 calls:

51.0ms	(fma.f64 (.f64 (fma.f64 x y z) (cbrt.f64 (.f64 y y))) (cbrt.f64 y) t)
51.0ms	(.f64 (fma.f64 x y z) (cbrt.f64 (.f64 y y)))
51.0ms	(cbrt.f64 y)
51.0ms	(cbrt.f64 (*.f64 y y))

simplify55.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

467×	`distribute-rgt-neg-in_binary64`
450×	`fma-neg_binary64`
338×	`cancel-sign-sub-inv_binary64`
326×	`distribute-lft-neg-in_binary64`
280×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	35	1313
1	95	1245
2	211	1226
3	555	1119
4	1822	1119
5	3815	1119

Stop Event

1×	node limit

Counts

197 → 117

prune101.0ms (1.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	117	6	123

Error

Counts

123 → 6

Alt Table

Status	Error	Program
	33.1b	(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (fma.f64 x y z)) t)
	30.6b	(+.f64 (pow.f64 (sqrt.f64 (*.f64 y (fma.f64 x y z))) 2) t)
✓	0.1b	(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)
✓	0.6b	(+.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y z)) 3) y) t)
✓	8.1b	(fma.f64 (.f64 (fma.f64 x y z) (cbrt.f64 (.f64 y y))) (cbrt.f64 y) t)
▶	22.0b	(+.f64 (/.f64 (.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 z z)) y) (-.f64 (.f64 x y) z)) t)

Compiler

Compiled 1831 to 648 computations (64.6% saved)

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f64 (*.f64 x y) 2)
✓	0.9b	(-.f64 (pow.f64 (.f64 x y) 2) (.f64 z z))
✓	6.0b	(.f64 (-.f64 (pow.f64 (.f64 x y) 2) (*.f64 z z)) y)
✓	17.5b	(/.f64 (.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 z z)) y) (-.f64 (.f64 x y) z))

series104.0ms (1.7%)

Counts

4 → 132

Calls

4 calls:

42.0ms	(.f64 (-.f64 (pow.f64 (.f64 x y) 2) (*.f64 z z)) y)
35.0ms	(/.f64 (.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 z z)) y) (-.f64 (.f64 x y) z))
18.0ms	(-.f64 (pow.f64 (.f64 x y) 2) (.f64 z z))
8.0ms	(pow.f64 (*.f64 x y) 2)

rewrite76.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

506×	`fma-def_binary64`
255×	`fma-neg_binary64`
239×	`expm1-udef_binary64`
239×	`log1p-udef_binary64`
192×	`egg-rr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	61
1	275	44
2	3932	44

Stop Event

1×	node limit

Counts

4 → 192

Calls

4 calls:

72.0ms	(pow.f64 (*.f64 x y) 2)
72.0ms	(-.f64 (pow.f64 (.f64 x y) 2) (.f64 z z))
72.0ms	(.f64 (-.f64 (pow.f64 (.f64 x y) 2) (*.f64 z z)) y)
72.0ms	(/.f64 (.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 z z)) y) (-.f64 (.f64 x y) z))

simplify78.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

679×	`fma-def_binary64`
430×	`associate-l_binary64`
407×	`distribute-rgt-neg-in_binary64`
371×	`distribute-lft-neg-in_binary64`
346×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	21	1693
1	59	1693
2	134	1666
3	435	1504
4	2085	1504
5	4763	1504

Stop Event

1×	node limit

Counts

324 → 209

prune208.0ms (3.3%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	209	0	209
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	209	6	215

Error

Counts

215 → 6

Alt Table

Status	Error	Program
	33.1b	(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (fma.f64 x y z)) t)
	30.6b	(+.f64 (pow.f64 (sqrt.f64 (*.f64 y (fma.f64 x y z))) 2) t)
✓	0.1b	(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)
✓	0.6b	(+.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y z)) 3) y) t)
✓	8.1b	(fma.f64 (.f64 (fma.f64 x y z) (cbrt.f64 (.f64 y y))) (cbrt.f64 y) t)
✓	22.0b	(+.f64 (/.f64 (.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 z z)) y) (-.f64 (.f64 x y) z)) t)

Compiler

Compiled 5248 to 1893 computations (63.9% saved)

regimes523.0ms (8.3%)

Accuracy

Total 0.0b remaining (53.3%)

Threshold costs 0.0b (53.3%)

Counts

78 → 1

Compiler

Compiled 6956 to 4318 computations (37.9% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	9	12

Stop Event

1×

saturated

end92.0ms (1.5%)

Compiler: Compiled 124 to 73 computations (41.1% saved)

Details

analyze985.0ms (15.7%)

sample1.3s (20.3%)

simplify6.0ms (0.1%)

prune3.0ms (0%)

localize8.0ms (0.1%)

series30.0ms (0.5%)

rewrite71.0ms (1.1%)

simplify103.0ms (1.6%)

prune115.0ms (1.8%)

localize8.0ms (0.1%)

series1.4s (22.3%)

rewrite55.0ms (0.9%)

simplify77.0ms (1.2%)

prune140.0ms (2.2%)

localize72.0ms (1.1%)

series616.0ms (9.8%)

rewrite57.0ms (0.9%)

simplify55.0ms (0.9%)

prune101.0ms (1.6%)

localize20.0ms (0.3%)

series104.0ms (1.7%)

rewrite76.0ms (1.2%)

simplify78.0ms (1.2%)

prune208.0ms (3.3%)

regimes523.0ms (8.3%)

simplify2.0ms (0%)

end92.0ms (1.5%)

Profiling