Details

analyze428.0ms (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)

sample1.0s (35.7%)

Results

791.0ms	8256×	body	128	valid
65.0ms	625×	body	128	invalid

Compiler

Compiled 38 to 26 computations (31.6% saved)

simplify50.0ms (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

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

0.4b

Counts

3 → 2

Alt Table

Status	Error	Program
	0.4b	(fma.f64 (*.f64 (-.f64 y x) 6) z x)
▶	0.4b	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) z))

Compiler

Compiled 66 to 41 computations (37.9% saved)

localize5.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

series24.0ms (0.8%)

Counts

3 → 96

Calls

3 calls:

11.0ms	(.f64 (.f64 (-.f64 y x) 6) z)
10.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) z))
3.0ms	(*.f64 (-.f64 y x) 6)

rewrite20.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64`
10×	`add-cbrt-cube_binary64`
10×	`add-exp-log_binary64`
10×	`pow1_binary64`
9×	`*-un-lft-identity_binary64`

Counts

3 → 62

Calls

3 calls:

9.0ms	(*.f64 (-.f64 y x) 6)
6.0ms	(.f64 (.f64 (-.f64 y x) 6) z)
2.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) z))

simplify97.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

504×	`fma-neg_binary64`
421×	`distribute-rgt-in_binary64`
403×	`distribute-lft-in_binary64`
380×	`fma-def_binary64`
317×	`*-commutative_binary64`

Counts

158 → 114

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	122	1932
1	316	1595
2	1021	1585
3	3144	1583
4	4715	1583
5	5026	1583

prune80.0ms (2.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	107	7	114
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	108	8	116

Error

0.0b

Counts

116 → 8

Alt Table

Status	Error	Program
	1.0b	(+.f64 x (.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))
	0.2b	(+.f64 x (.f64 -6 (.f64 z (-.f64 x y))))
✓	0.4b	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) z))
	25.5b	(+.f64 x (cbrt.f64 (.f64 216 (pow.f64 (.f64 z (-.f64 y x)) 3))))
	1.1b	(+.f64 x (.f64 (.f64 (.f64 (-.f64 y x) 6) (.f64 (cbrt.f64 z) (cbrt.f64 z))) (cbrt.f64 z)))
▶	0.2b	(+.f64 x (.f64 (-.f64 y x) (.f64 6 z)))
	28.6b	(+.f64 x (/.f64 (.f64 (.f64 (-.f64 (.f64 y y) (.f64 x x)) 6) z) (+.f64 y x)))
	0.2b	(fma.f64 6 (*.f64 z (-.f64 y x)) x)

Compiler

Compiled 1908 to 953 computations (50.1% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series18.0ms (0.6%)

Counts

2 → 72

Calls

2 calls:

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

rewrite13.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-cbrt-cube_binary64`
7×	`add-exp-log_binary64`
7×	`pow1_binary64`
6×	`*-un-lft-identity_binary64`
6×	`add-sqr-sqrt_binary64`

Counts

2 → 40

Calls

2 calls:

6.0ms	(+.f64 x (.f64 (-.f64 y x) (.f64 6 z)))
5.0ms	(.f64 (-.f64 y x) (.f64 6 z))

simplify80.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

607×	`fma-neg_binary64`
424×	`fma-def_binary64`
371×	`distribute-rgt-in_binary64`
356×	`distribute-lft-in_binary64`
331×	`*-commutative_binary64`

Counts

112 → 75

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	100	1552
1	283	1233
2	924	1221
3	3027	1221
4	4742	1221
5	4974	1221

prune51.0ms (1.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	75	0	75
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	75	8	83

Error

0.0b

Counts

83 → 8

Alt Table

Status	Error	Program
	1.0b	(+.f64 x (.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))
▶	0.2b	(+.f64 x (.f64 -6 (.f64 z (-.f64 x y))))
✓	0.4b	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) z))
	25.5b	(+.f64 x (cbrt.f64 (.f64 216 (pow.f64 (.f64 z (-.f64 y x)) 3))))
	1.1b	(+.f64 x (.f64 (.f64 (.f64 (-.f64 y x) 6) (.f64 (cbrt.f64 z) (cbrt.f64 z))) (cbrt.f64 z)))
✓	0.2b	(+.f64 x (.f64 (-.f64 y x) (.f64 6 z)))
	28.6b	(+.f64 x (/.f64 (.f64 (.f64 (-.f64 (.f64 y y) (.f64 x x)) 6) z) (+.f64 y x)))
	0.2b	(fma.f64 6 (*.f64 z (-.f64 y x)) x)

Compiler

Compiled 1352 to 676 computations (50% saved)

localize5.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

series30.0ms (1.1%)

Counts

3 → 108

Calls

3 calls:

16.0ms	(+.f64 x (.f64 -6 (.f64 z (-.f64 x y))))
8.0ms	(.f64 -6 (.f64 z (-.f64 x y)))
6.0ms	(*.f64 z (-.f64 x y))

rewrite42.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 192

Calls

3 calls:

9.0ms	(+.f64 x (.f64 -6 (.f64 z (-.f64 x y))))
7.0ms	(.f64 -6 (.f64 z (-.f64 x y)))
5.0ms	(*.f64 z (-.f64 x y))

simplify136.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

728×	`fma-def_binary64`
480×	`distribute-rgt-in_binary64`
438×	`distribute-lft-in_binary64`
318×	`fma-neg_binary64`
298×	`exp-prod_binary64`

Counts

300 → 264

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	292	4128
1	434	3521
2	1346	3193
3	4700	3193
4	5110	3193

prune196.0ms (6.9%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	263	1	264
Fresh	1	4	5
Picked	0	1	1
Done	0	2	2
Total	264	8	272

Error

0.0b

Counts

272 → 8

Alt Table

Status	Error	Program
	1.0b	(+.f64 x (.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))
✓	0.2b	(+.f64 x (.f64 -6 (.f64 z (-.f64 x y))))
✓	0.4b	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) z))
	25.5b	(+.f64 x (cbrt.f64 (.f64 216 (pow.f64 (.f64 z (-.f64 y x)) 3))))
	1.1b	(+.f64 x (.f64 (.f64 (.f64 (-.f64 y x) 6) (.f64 (cbrt.f64 z) (cbrt.f64 z))) (cbrt.f64 z)))
✓	0.2b	(+.f64 x (.f64 (-.f64 y x) (.f64 6 z)))
▶	0.2b	(fma.f64 6 (*.f64 z (-.f64 y x)) x)
	25.2b	(+.f64 x (.f64 -6 (cbrt.f64 (pow.f64 (.f64 z (-.f64 x y)) 3))))

Compiler

Compiled 6010 to 2165 computations (64% saved)

localize6.0ms (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)

series16.0ms (0.6%)

Counts

2 → 60

Calls

2 calls:

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

rewrite9.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64`
20×	`*-un-lft-identity_binary64`
18×	`prod-diff_binary64`
18×	`add-cube-cbrt_binary64`
13×	`distribute-lft-in_binary64`

Counts

2 → 60

Calls

2 calls:

5.0ms	(*.f64 z (-.f64 y x))
0.0ms	(fma.f64 6 (*.f64 z (-.f64 y x)) x)

simplify106.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

708×	`fma-neg_binary64`
433×	`exp-prod_binary64`
341×	`fma-def_binary64`
283×	`neg-mul-1_binary64`
228×	`*-commutative_binary64`

Counts

120 → 90

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	146	1596
1	271	1231
2	838	1171
3	2033	1117
4	3701	1117
5	4979	1117
6	4994	1117
7	4789	1117

prune77.0ms (2.7%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	90	8	98

Error

0.0b

Counts

98 → 8

Alt Table

Status	Error	Program
	1.0b	(+.f64 x (.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))
✓	0.2b	(+.f64 x (.f64 -6 (.f64 z (-.f64 x y))))
✓	0.4b	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) z))
	25.5b	(+.f64 x (cbrt.f64 (.f64 216 (pow.f64 (.f64 z (-.f64 y x)) 3))))
	1.1b	(+.f64 x (.f64 (.f64 (.f64 (-.f64 y x) 6) (.f64 (cbrt.f64 z) (cbrt.f64 z))) (cbrt.f64 z)))
✓	0.2b	(+.f64 x (.f64 (-.f64 y x) (.f64 6 z)))
✓	0.2b	(fma.f64 6 (*.f64 z (-.f64 y x)) x)
	25.2b	(+.f64 x (.f64 -6 (cbrt.f64 (pow.f64 (.f64 z (-.f64 x y)) 3))))

Compiler

Compiled 1591 to 607 computations (61.8% saved)

regimes238.0ms (8.4%)

Accuracy

Total 0.2b remaining (94.3%)

Threshold costs 0.2b (94.3%)

Counts

62 → 1

Compiler

Compiled 3814 to 2552 computations (33.1% 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

end91.0ms (3.2%)

Compiler: Compiled 145 to 95 computations (34.5% saved)

Details

analyze428.0ms (15.1%)

sample1.0s (35.7%)

simplify50.0ms (1.8%)

prune3.0ms (0.1%)

localize5.0ms (0.2%)

series24.0ms (0.8%)

rewrite20.0ms (0.7%)

simplify97.0ms (3.4%)

prune80.0ms (2.8%)

localize5.0ms (0.2%)

series18.0ms (0.6%)

rewrite13.0ms (0.5%)

simplify80.0ms (2.8%)

prune51.0ms (1.8%)

localize5.0ms (0.2%)

series30.0ms (1.1%)

rewrite42.0ms (1.5%)

simplify136.0ms (4.8%)

prune196.0ms (6.9%)

localize6.0ms (0.2%)

series16.0ms (0.6%)

rewrite9.0ms (0.3%)

simplify106.0ms (3.7%)

prune77.0ms (2.7%)

regimes238.0ms (8.4%)

simplify2.0ms (0.1%)

end91.0ms (3.2%)

Profiling