Details

analyze887.0ms (22.7%)

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)

sample1.1s (28.4%)

Results

864.0ms	8256×	body	128	valid
210.0ms	1891×	body	128	invalid

Compiler

Compiled 41 to 26 computations (36.6% saved)

simplify6.0ms (0.2%)

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 (0.1%)

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
	0.1b	(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)

localize6.0ms (0.2%)

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)

series32.0ms (0.8%)

Counts

3 → 120

Calls

3 calls:

15.0ms	(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)
12.0ms	(.f64 (+.f64 (.f64 x y) z) y)
5.0ms	(+.f64 (*.f64 x y) z)

rewrite51.0ms (1.3%)

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:

49.0ms	(+.f64 (*.f64 x y) z)
49.0ms	(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)
49.0ms	(.f64 (+.f64 (.f64 x y) z) y)

simplify96.0ms (2.5%)

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

prune113.0ms (2.9%)

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)

localize9.0ms (0.2%)

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)

series121.0ms (3.1%)

Counts

4 → 108

Calls

4 calls:

80.0ms	(pow.f64 (cbrt.f64 (fma.f64 x y z)) 3)
17.0ms	(cbrt.f64 (fma.f64 x y z))
16.0ms	(+.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y z)) 3) y) t)
8.0ms	(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y z)) 3) y)

rewrite51.0ms (1.3%)

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:

50.0ms	(+.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y z)) 3) y) t)
50.0ms	(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y z)) 3) y)
50.0ms	(cbrt.f64 (fma.f64 x y z))
50.0ms	(pow.f64 (cbrt.f64 (fma.f64 x y z)) 3)

simplify72.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

575×	`fma-neg_binary64`
380×	`fma-def_binary64`
327×	`*-commutative_binary64`
279×	`cancel-sign-sub-inv_binary64`
243×	`associate-/r*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	109	2114
1	339	2026
2	1105	1974
3	2919	1972
4	4607	1972

Stop Event

1×	node limit

Counts

209 → 145

prune96.0ms (2.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	145	0	145
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	145	6	151

Error

Counts

151 → 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 2916 to 1424 computations (51.2% saved)

localize9.0ms (0.2%)

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))

series188.0ms (4.8%)

Counts

4 → 63

Calls

4 calls:

123.0ms	(fma.f64 (.f64 (fma.f64 x y z) (cbrt.f64 (.f64 y y))) (cbrt.f64 y) t)
49.0ms	(.f64 (fma.f64 x y z) (cbrt.f64 (.f64 y y)))
12.0ms	(cbrt.f64 y)
4.0ms	(cbrt.f64 (*.f64 y y))

rewrite48.0ms (1.2%)

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:

46.0ms	(fma.f64 (.f64 (fma.f64 x y z) (cbrt.f64 (.f64 y y))) (cbrt.f64 y) t)
46.0ms	(.f64 (fma.f64 x y z) (cbrt.f64 (.f64 y y)))
46.0ms	(cbrt.f64 y)
46.0ms	(cbrt.f64 (*.f64 y y))

simplify76.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

740×	`sqr-pow_binary64`
343×	`associate-l_binary64`
322×	`unswap-sqr_binary64`
310×	`pow-sqr_binary64`
291×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	809
1	55	753
2	97	752
3	192	669
4	445	669
5	1258	669
6	2157	669
7	2394	669
8	2677	669
9	3036	669
10	3536	669
11	4260	669

Stop Event

1×	node limit

Counts

152 → 108

prune72.0ms (1.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	108	6	114

Error

Counts

114 → 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 1708 to 597 computations (65% saved)

localize12.0ms (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))

series83.0ms (2.1%)

Counts

4 → 132

Calls

4 calls:

31.0ms	(/.f64 (.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 z z)) y) (-.f64 (.f64 x y) z))
26.0ms	(.f64 (-.f64 (pow.f64 (.f64 x y) 2) (*.f64 z z)) y)
19.0ms	(-.f64 (pow.f64 (.f64 x y) 2) (.f64 z z))
7.0ms	(pow.f64 (*.f64 x y) 2)

rewrite70.0ms (1.8%)

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:

66.0ms	(pow.f64 (*.f64 x y) 2)
66.0ms	(-.f64 (pow.f64 (.f64 x y) 2) (.f64 z z))
66.0ms	(.f64 (-.f64 (pow.f64 (.f64 x y) 2) (*.f64 z z)) y)
66.0ms	(/.f64 (.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 z z)) y) (-.f64 (.f64 x y) z))

simplify76.0ms (1.9%)

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

prune140.0ms (3.6%)

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)

regimes395.0ms (10.1%)

Accuracy

Total 0.0b remaining (53.3%)

Threshold costs 0.0b (53.3%)

Counts

71 → 1

Compiler

Compiled 6386 to 3922 computations (38.6% 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

end77.0ms (2%)

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

Details

analyze887.0ms (22.7%)

sample1.1s (28.4%)

simplify6.0ms (0.2%)

prune3.0ms (0.1%)

localize6.0ms (0.2%)

series32.0ms (0.8%)

rewrite51.0ms (1.3%)

simplify96.0ms (2.5%)

prune113.0ms (2.9%)

localize9.0ms (0.2%)

series121.0ms (3.1%)

rewrite51.0ms (1.3%)

simplify72.0ms (1.8%)

prune96.0ms (2.5%)

localize9.0ms (0.2%)

series188.0ms (4.8%)

rewrite48.0ms (1.2%)

simplify76.0ms (1.9%)

prune72.0ms (1.8%)

localize12.0ms (0.3%)

series83.0ms (2.1%)

rewrite70.0ms (1.8%)

simplify76.0ms (1.9%)

prune140.0ms (3.6%)

regimes395.0ms (10.1%)

simplify2.0ms (0%)

end77.0ms (2%)

Profiling