Details

analyze458.0ms (15.9%)

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
31.2%	68.6%	0.1%	9
40.6%	50.7%	8.7%	10
48.4%	42.1%	9.5%	11
54.2%	35.5%	10.3%	12
59.1%	25.9%	15%	13
63.9%	20.9%	15.3%	14

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample1.1s (37.7%)

Results

865.0ms	8256×	body	128	valid
68.0ms	637×	body	128	invalid

Compiler

Compiled 38 to 26 computations (31.6% saved)

simplify59.0ms (2%)

Algorithm

1×	egg-herbie

Rules

782×	`fma-def_binary64`
523×	`fma-neg_binary64`
142×	`cancel-sign-sub-inv_binary64`
122×	`distribute-rgt-in_binary64`
106×	`unsub-neg_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	16	11
2	36	11
3	78	11
4	154	11
5	268	11
6	404	11
7	631	11
8	911	11
9	1092	11
10	1291	11
11	1314	11
12	1316	11
13	1316	11
14	1243	11

prune3.0ms (0.1%)

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

0.2b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.2b	(fma.f64 (*.f64 (-.f64 y x) 6) z x)

Compiler

Compiled 42 to 25 computations (40.5% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (-.f64 y x) 6)
✓	0.1b	(fma.f64 (*.f64 (-.f64 y x) 6) z x)

series13.0ms (0.5%)

Counts

2 → 60

Calls

2 calls:

9.0ms	(fma.f64 (*.f64 (-.f64 y x) 6) z x)
4.0ms	(*.f64 (-.f64 y x) 6)

rewrite9.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64`
6×	`*-un-lft-identity_binary64`
5×	`associate-l_binary64`
4×	`add-cube-cbrt_binary64`
4×	`add-cbrt-cube_binary64`

Counts

2 → 34

Calls

2 calls:

5.0ms	(*.f64 (-.f64 y x) 6)
3.0ms	(fma.f64 (*.f64 (-.f64 y x) 6) z x)

simplify83.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

829×	`times-frac_binary64`
732×	`fma-def_binary64`
490×	`unsub-neg_binary64`
306×	`*-commutative_binary64`
289×	`neg-sub0_binary64`

Counts

94 → 70

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	85	1108
1	190	899
2	520	893
3	1543	893
4	3149	893
5	4667	893
6	6079	893

prune48.0ms (1.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	65	5	70
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	65	6	71

Error

0.0b

Counts

71 → 6

Alt Table

Status	Error	Program
	22.4b	(fma.f64 x (*.f64 z -6) x)
	0.7b	(fma.f64 (.f64 (.f64 (cbrt.f64 (.f64 (-.f64 y x) 6)) (cbrt.f64 (.f64 (-.f64 y x) 6))) (cbrt.f64 (*.f64 (-.f64 y x) 6))) z x)
	1.4b	(.f64 (.f64 (cbrt.f64 (fma.f64 (.f64 (-.f64 y x) 6) z x)) (cbrt.f64 (fma.f64 (.f64 (-.f64 y x) 6) z x))) (cbrt.f64 (fma.f64 (*.f64 (-.f64 y x) 6) z x)))
▶	0.1b	(+.f64 (.f64 6 (.f64 z (-.f64 y x))) x)
✓	0.2b	(fma.f64 (*.f64 (-.f64 y x) 6) z x)
	0.2b	(fma.f64 6 (*.f64 z (-.f64 y x)) x)

Compiler

Compiled 1073 to 530 computations (50.6% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 6 (.f64 z (-.f64 y x))) x)
✓	0.0b	(*.f64 z (-.f64 y x))
✓	0.3b	(.f64 6 (.f64 z (-.f64 y x)))

series30.0ms (1.1%)

Counts

3 → 88

Calls

3 calls:

15.0ms	(+.f64 (.f64 6 (.f64 z (-.f64 y x))) x)
9.0ms	(.f64 6 (.f64 z (-.f64 y x)))
6.0ms	(*.f64 z (-.f64 y x))

rewrite45.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

117×	`distribute-lft-in_binary64`
117×	`distribute-rgt-in_binary64`
90×	`prod-diff_binary64`
80×	`add-sqr-sqrt_binary64`
78×	`*-un-lft-identity_binary64`

Counts

3 → 190

Calls

3 calls:

10.0ms	(+.f64 (.f64 6 (.f64 z (-.f64 y x))) x)
8.0ms	(.f64 6 (.f64 z (-.f64 y x)))
6.0ms	(*.f64 z (-.f64 y x))

simplify163.0ms (5.6%)

Algorithm

1×	egg-herbie

Rules

872×	`fma-def_binary64`
576×	`fma-neg_binary64`
481×	`distribute-rgt-in_binary64`
446×	`distribute-lft-in_binary64`
282×	`associate-r_binary64`

Counts

278 → 273

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	277	3916
1	431	3365
2	1409	2819
3	4520	2819
4	4979	2819
5	4894	2819

prune212.0ms (7.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	271	2	273
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	273	6	279

Error

Counts

279 → 6

Alt Table

Status	Error	Program
	0.4b	(+.f64 (.f64 (.f64 6 z) (-.f64 y x)) x)
✓	0.2b	(fma.f64 (*.f64 (-.f64 y x) 6) z x)
	0.7b	(fma.f64 (.f64 (.f64 (cbrt.f64 (.f64 (-.f64 y x) 6)) (cbrt.f64 (.f64 (-.f64 y x) 6))) (cbrt.f64 (*.f64 (-.f64 y x) 6))) z x)
✓	0.1b	(+.f64 (.f64 6 (.f64 z (-.f64 y x))) x)
	0.7b	(+.f64 (.f64 (.f64 (cbrt.f64 (.f64 6 (.f64 z (-.f64 y x)))) (cbrt.f64 (.f64 6 (.f64 z (-.f64 y x))))) (cbrt.f64 (.f64 6 (.f64 z (-.f64 y x))))) x)
▶	0.2b	(fma.f64 6 (*.f64 z (-.f64 y x)) x)

Compiler

Compiled 6197 to 2233 computations (64% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(*.f64 z (-.f64 y x))
✓	0.2b	(fma.f64 6 (*.f64 z (-.f64 y x)) x)

series11.0ms (0.4%)

Counts

1 → 36

Calls

1 calls:

11.0ms

(fma.f64 6 (*.f64 z (-.f64 y x)) x)

rewrite1.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

1×	`*-un-lft-identity_binary64`
1×	`add-sqr-sqrt_binary64`
1×	`add-cube-cbrt_binary64`
1×	`add-cbrt-cube_binary64`
1×	`add-exp-log_binary64`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma.f64 6 (*.f64 z (-.f64 y x)) x)

simplify53.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

743×	`distribute-rgt-neg-out_binary64`
441×	`associate-l_binary64`
426×	`distribute-rgt-in_binary64`
414×	`distribute-lft-in_binary64`
394×	`associate-r_binary64`

Counts

46 → 23

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	40	697
1	101	512
2	221	506
3	586	506
4	2785	506
5	5027	506

prune60.0ms (2.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	84	6	90

Error

Counts

90 → 6

Alt Table

Status	Error	Program
▶	0.4b	(+.f64 (.f64 (.f64 6 z) (-.f64 y x)) x)
✓	0.2b	(fma.f64 (*.f64 (-.f64 y x) 6) z x)
	0.7b	(fma.f64 (.f64 (.f64 (cbrt.f64 (.f64 (-.f64 y x) 6)) (cbrt.f64 (.f64 (-.f64 y x) 6))) (cbrt.f64 (*.f64 (-.f64 y x) 6))) z x)
✓	0.1b	(+.f64 (.f64 6 (.f64 z (-.f64 y x))) x)
	0.7b	(+.f64 (.f64 (.f64 (cbrt.f64 (.f64 6 (.f64 z (-.f64 y x)))) (cbrt.f64 (.f64 6 (.f64 z (-.f64 y x))))) (cbrt.f64 (.f64 6 (.f64 z (-.f64 y x))))) x)
✓	0.2b	(fma.f64 6 (*.f64 z (-.f64 y x)) x)

Compiler

Compiled 1554 to 585 computations (62.4% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (.f64 6 z) (-.f64 y x)) x)
✓	0.5b	(.f64 (.f64 6 z) (-.f64 y x))

series22.0ms (0.8%)

Counts

2 → 72

Calls

2 calls:

13.0ms	(+.f64 (.f64 (.f64 6 z) (-.f64 y x)) x)
9.0ms	(.f64 (.f64 6 z) (-.f64 y x))

rewrite23.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`prod-diff_binary64`
33×	`*-un-lft-identity_binary64`
33×	`add-sqr-sqrt_binary64`
31×	`add-cube-cbrt_binary64`
26×	`associate-+l+_binary64`

Counts

2 → 90

Calls

2 calls:

8.0ms	(+.f64 (.f64 (.f64 6 z) (-.f64 y x)) x)
7.0ms	(.f64 (.f64 6 z) (-.f64 y x))

simplify120.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

783×	`fma-def_binary64`
599×	`fma-neg_binary64`
480×	`*-commutative_binary64`
420×	`distribute-rgt-in_binary64`
378×	`distribute-lft-in_binary64`

Counts

162 → 142

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	179	2244
1	386	1963
2	1376	1739
3	3986	1739
4	4978	1739
5	4933	1739

prune110.0ms (3.8%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	141	1	142
Fresh	1	1	2
Picked	0	1	1
Done	0	3	3
Total	142	6	148

Error

Counts

148 → 6

Alt Table

Status	Error	Program
✓	0.4b	(+.f64 (.f64 (.f64 6 z) (-.f64 y x)) x)
✓	0.2b	(fma.f64 (*.f64 (-.f64 y x) 6) z x)
	0.7b	(fma.f64 (.f64 (.f64 (cbrt.f64 (.f64 (-.f64 y x) 6)) (cbrt.f64 (.f64 (-.f64 y x) 6))) (cbrt.f64 (*.f64 (-.f64 y x) 6))) z x)
✓	0.1b	(+.f64 (.f64 6 (.f64 z (-.f64 y x))) x)
	0.8b	(+.f64 (.f64 (fma.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (cbrt.f64 y) (neg.f64 (.f64 x 1))) (.f64 6 z)) (fma.f64 z 0 x))
✓	0.2b	(fma.f64 6 (*.f64 z (-.f64 y x)) x)

Compiler

Compiled 3037 to 1276 computations (58% saved)

regimes163.0ms (5.7%)

Accuracy

Total 0.2b remaining (91.3%)

Threshold costs 0.2b (91.3%)

Counts

42 → 1

Compiler

Compiled 2536 to 1610 computations (36.5% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
3×	`*-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	9	13
1	14	13
2	19	13
3	21	13
4	22	13
5	22	13

end84.0ms (2.9%)

Compiler: Compiled 120 to 77 computations (35.8% saved)

Details

analyze458.0ms (15.9%)

sample1.1s (37.7%)

simplify59.0ms (2%)

prune3.0ms (0.1%)

localize6.0ms (0.2%)

series13.0ms (0.5%)

rewrite9.0ms (0.3%)

simplify83.0ms (2.9%)

prune48.0ms (1.7%)

localize6.0ms (0.2%)

series30.0ms (1.1%)

rewrite45.0ms (1.6%)

simplify163.0ms (5.6%)

prune212.0ms (7.3%)

localize5.0ms (0.2%)

series11.0ms (0.4%)

rewrite1.0ms (0%)

simplify53.0ms (1.8%)

prune60.0ms (2.1%)

localize6.0ms (0.2%)

series22.0ms (0.8%)

rewrite23.0ms (0.8%)

simplify120.0ms (4.2%)

prune110.0ms (3.8%)

regimes163.0ms (5.7%)

simplify3.0ms (0.1%)

end84.0ms (2.9%)

Profiling