Details

analyze449.0ms (15.1%)

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 (36.8%)

Results

872.0ms	8256×	body	128	valid
59.0ms	593×	body	128	invalid

Compiler

Compiled 38 to 26 computations (31.6% saved)

simplify54.0ms (1.8%)

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

0.1b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.1b	(fma.f64 (*.f64 (-.f64 y x) 6) z x)

Compiler

Compiled 42 to 25 computations (40.5% saved)

localize5.0ms (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)

series14.0ms (0.5%)

Counts

2 → 60

Calls

2 calls:

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

rewrite6.0ms (0.2%)

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:

4.0ms	(*.f64 (-.f64 y x) 6)
0.0ms	(fma.f64 (*.f64 (-.f64 y x) 6) z x)

simplify82.0ms (2.8%)

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 (1.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	66	4	70
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	66	5	71

Error

0.0b

Counts

71 → 5

Alt Table

Status	Error	Program
✓	0.1b	(fma.f64 (*.f64 (-.f64 y x) 6) z x)
	0.7b	(fma.f64 (.f64 (.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x))) (*.f64 (cbrt.f64 (-.f64 y x)) 6)) z x)
▶	0.2b	(+.f64 (.f64 6 (.f64 z (-.f64 y x))) x)
	28.5b	(fma.f64 (/.f64 (.f64 (-.f64 (.f64 y y) (*.f64 x x)) 6) (+.f64 y x)) z x)
	22.6b	(fma.f64 x (*.f64 z -6) x)

Compiler

Compiled 1017 to 490 computations (51.8% 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)))

series29.0ms (1%)

Counts

3 → 88

Calls

3 calls:

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

rewrite50.0ms (1.7%)

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:

15.0ms	(+.f64 (.f64 6 (.f64 z (-.f64 y x))) x)
7.0ms	(.f64 6 (.f64 z (-.f64 y x)))
5.0ms	(*.f64 z (-.f64 y x))

simplify138.0ms (4.6%)

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

prune165.0ms (5.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	272	1	273
Fresh	2	1	3
Picked	0	1	1
Done	0	1	1
Total	274	4	278

Error

Counts

278 → 4

Alt Table

Status	Error	Program
▶	0.1b	(+.f64 (.f64 (.f64 6 z) (-.f64 y x)) x)
✓	0.1b	(fma.f64 (*.f64 (-.f64 y x) 6) z x)
✓	0.2b	(+.f64 (.f64 6 (.f64 z (-.f64 y x))) x)
	28.5b	(fma.f64 (/.f64 (.f64 (-.f64 (.f64 y y) (*.f64 x x)) 6) (+.f64 y x)) z x)

Compiler

Compiled 6099 to 2175 computations (64.3% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series20.0ms (0.7%)

Counts

2 → 72

Calls

2 calls:

10.0ms	(+.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:

7.0ms	(+.f64 (.f64 (.f64 6 z) (-.f64 y x)) x)
6.0ms	(.f64 (.f64 6 z) (-.f64 y x))

simplify109.0ms (3.7%)

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

prune89.0ms (3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	141	1	142
Fresh	1	0	1
Picked	0	1	1
Done	0	2	2
Total	142	4	146

Error

Counts

146 → 4

Alt Table

Status	Error	Program
✓	0.1b	(+.f64 (.f64 (.f64 6 z) (-.f64 y x)) x)
✓	0.1b	(fma.f64 (*.f64 (-.f64 y x) 6) z x)
✓	0.2b	(+.f64 (.f64 6 (.f64 z (-.f64 y x))) x)
▶	27.5b	(+.f64 (cbrt.f64 (.f64 216 (pow.f64 (.f64 z (-.f64 y x)) 3))) x)

Compiler

Compiled 3006 to 1260 computations (58.1% saved)

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(*.f64 z (-.f64 y x))
✓	0.1b	(.f64 216 (pow.f64 (.f64 z (-.f64 y x)) 3))
✓	0.3b	(pow.f64 (*.f64 z (-.f64 y x)) 3)
✓	34.2b	(cbrt.f64 (.f64 216 (pow.f64 (.f64 z (-.f64 y x)) 3)))

series97.0ms (3.3%)

Counts

3 → 108

Calls

3 calls:

38.0ms	(.f64 216 (pow.f64 (.f64 z (-.f64 y x)) 3))
31.0ms	(cbrt.f64 (.f64 216 (pow.f64 (.f64 z (-.f64 y x)) 3)))
28.0ms	(pow.f64 (*.f64 z (-.f64 y x)) 3)

rewrite15.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-exp-log_binary64`
10×	`associate-*r/_binary64`
9×	`add-sqr-sqrt_binary64`
8×	`associate-r_binary64`
8×	`add-cbrt-cube_binary64`

Counts

3 → 69

Calls

3 calls:

5.0ms	(.f64 216 (pow.f64 (.f64 z (-.f64 y x)) 3))
4.0ms	(pow.f64 (*.f64 z (-.f64 y x)) 3)
2.0ms	(cbrt.f64 (.f64 216 (pow.f64 (.f64 z (-.f64 y x)) 3)))

simplify116.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

453×	`fma-def_binary64`
379×	`distribute-rgt-in_binary64`
374×	`fma-neg_binary64`
370×	`distribute-lft-in_binary64`
286×	`cancel-sign-sub-inv_binary64`

Counts

177 → 127

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	163	3510
1	418	3369
2	1540	3109
3	4966	3091
4	5135	3091

prune105.0ms (3.5%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	188	0	188
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	188	4	192

Error

Counts

192 → 4

Alt Table

Status	Error	Program
✓	0.1b	(+.f64 (.f64 (.f64 6 z) (-.f64 y x)) x)
✓	0.1b	(fma.f64 (*.f64 (-.f64 y x) 6) z x)
✓	0.2b	(+.f64 (.f64 6 (.f64 z (-.f64 y x))) x)
✓	27.5b	(+.f64 (cbrt.f64 (.f64 216 (pow.f64 (.f64 z (-.f64 y x)) 3))) x)

Compiler

Compiled 3900 to 2056 computations (47.3% saved)

regimes175.0ms (5.9%)

Accuracy

Total 0.2b remaining (93.6%)

Threshold costs 0.2b (93.6%)

Counts

44 → 1

Compiler

Compiled 2424 to 1602 computations (33.9% saved)

simplify2.0ms (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	8	11
1	11	11
2	16	11
3	18	11
4	19	11
5	19	11

end58.0ms (1.9%)

Compiler: Compiled 72 to 48 computations (33.3% saved)

Details

analyze449.0ms (15.1%)

sample1.1s (36.8%)

simplify54.0ms (1.8%)

prune3.0ms (0.1%)

localize5.0ms (0.2%)

series14.0ms (0.5%)

rewrite6.0ms (0.2%)

simplify82.0ms (2.8%)

prune48.0ms (1.6%)

localize6.0ms (0.2%)

series29.0ms (1%)

rewrite50.0ms (1.7%)

simplify138.0ms (4.6%)

prune165.0ms (5.5%)

localize5.0ms (0.2%)

series20.0ms (0.7%)

rewrite23.0ms (0.8%)

simplify109.0ms (3.7%)

prune89.0ms (3%)

localize12.0ms (0.4%)

series97.0ms (3.3%)

rewrite15.0ms (0.5%)

simplify116.0ms (3.9%)

prune105.0ms (3.5%)

regimes175.0ms (5.9%)

simplify2.0ms (0.1%)

end58.0ms (1.9%)

Profiling