Details

analyze506.0ms (18.7%)

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 (37.9%)

Results

819.0ms	8256×	body	128	valid
57.0ms	605×	body	128	invalid

Compiler

Compiled 38 to 26 computations (31.6% saved)

simplify50.0ms (1.9%)

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

0.2b

Counts

3 → 2

Alt Table

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

Compiler

Compiled 66 to 41 computations (37.9% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series14.0ms (0.5%)

Counts

2 → 60

Calls

2 calls:

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

simplify84.0ms (3.1%)

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

prune46.0ms (1.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	65	5	70
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	66	6	72

Error

0.0b

Counts

72 → 6

Alt Table

Status	Error	Program
	39.5b	(fma.f64 (cbrt.f64 (*.f64 -216 (pow.f64 (-.f64 x y) 3))) z x)
▶	0.2b	(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
	33.2b	(.f64 (sqrt.f64 (fma.f64 (.f64 (-.f64 y x) 6) z x)) (sqrt.f64 (fma.f64 (*.f64 (-.f64 y x) 6) z x)))
	21.8b	(fma.f64 x (*.f64 z -6) x)
✓	0.2b	(fma.f64 (*.f64 (-.f64 y x) 6) z x)
	0.6b	(fma.f64 (.f64 (.f64 (-.f64 y x) (sqrt.f64 6)) (sqrt.f64 6)) z x)

Compiler

Compiled 1045 to 522 computations (50% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
✓	0.0b	(+.f64 (.f64 6 (.f64 y z)) x)
✓	0.2b	(.f64 6 (.f64 y z))
✓	0.3b	(.f64 6 (.f64 z x))

series25.0ms (0.9%)

Counts

4 → 18

Calls

4 calls:

10.0ms	(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
7.0ms	(+.f64 (.f64 6 (.f64 y z)) x)
4.0ms	(.f64 6 (.f64 z x))
4.0ms	(.f64 6 (.f64 y z))

rewrite23.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-cbrt-cube_binary64`
14×	`add-exp-log_binary64`
14×	`pow1_binary64`
11×	`add-log-exp_binary64`
8×	`*-un-lft-identity_binary64`

Counts

4 → 76

Calls

4 calls:

6.0ms	(.f64 6 (.f64 z x))
6.0ms	(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
4.0ms	(+.f64 (.f64 6 (.f64 y z)) x)
3.0ms	(.f64 6 (.f64 y z))

simplify76.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

566×	`fma-def_binary64`
547×	`fma-neg_binary64`
440×	`distribute-rgt-neg-in_binary64`
419×	`distribute-lft-neg-in_binary64`
386×	`*-commutative_binary64`

Counts

94 → 117

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	133	1244
1	355	1039
2	1133	998
3	3152	995
4	4859	995
5	4909	995

prune83.0ms (3.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	114	3	117
Fresh	4	0	4
Picked	1	0	1
Done	0	1	1
Total	119	4	123

Error

0.0b

Counts

123 → 4

Alt Table

Status	Error	Program
▶	0.1b	(+.f64 (.f64 6 (.f64 y z)) (fma.f64 x (*.f64 z -6) x))
✓	0.2b	(fma.f64 (*.f64 (-.f64 y x) 6) z x)
	27.4b	(-.f64 (/.f64 (-.f64 (.f64 y (.f64 z (.f64 (.f64 y z) 36))) (.f64 x x)) (-.f64 (.f64 6 (.f64 y z)) x)) (.f64 6 (*.f64 z x)))
	0.4b	(-.f64 (+.f64 (.f64 (sqrt.f64 6) (.f64 (sqrt.f64 6) (.f64 y z))) x) (.f64 6 (*.f64 z x)))

Compiler

Compiled 2391 to 1282 computations (46.4% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 6 (.f64 y z)) (fma.f64 x (*.f64 z -6) x))
✓	0.1b	(fma.f64 x (*.f64 z -6) x)
	0.2b	(.f64 6 (.f64 y z))

series16.0ms (0.6%)

Counts

2 → 60

Calls

2 calls:

11.0ms	(+.f64 (.f64 6 (.f64 y z)) (fma.f64 x (*.f64 z -6) x))
5.0ms	(fma.f64 x (*.f64 z -6) x)

rewrite5.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`add-log-exp_binary64`
2×	`*-un-lft-identity_binary64`
2×	`add-sqr-sqrt_binary64`
2×	`add-cube-cbrt_binary64`
2×	`add-cbrt-cube_binary64`

Counts

2 → 25

Calls

2 calls:

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

simplify75.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

543×	`fma-neg_binary64`
535×	`neg-mul-1_binary64`
510×	`associate-l_binary64`
473×	`associate-r_binary64`
345×	`distribute-rgt-neg-out_binary64`

Counts

85 → 57

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	64	1212
1	187	998
2	548	914
3	2794	908
4	4485	908
5	5201	908

prune52.0ms (1.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	76	1	77
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	77	4	81

Error

0.0b

Counts

81 → 4

Alt Table

Status	Error	Program
✓	0.1b	(+.f64 (.f64 6 (.f64 y z)) (fma.f64 x (*.f64 z -6) x))
✓	0.2b	(fma.f64 (*.f64 (-.f64 y x) 6) z x)
	27.4b	(-.f64 (/.f64 (-.f64 (.f64 y (.f64 z (.f64 (.f64 y z) 36))) (.f64 x x)) (-.f64 (.f64 6 (.f64 y z)) x)) (.f64 6 (*.f64 z x)))
▶	0.4b	(+.f64 (.f64 (sqrt.f64 6) (.f64 (.f64 y z) (sqrt.f64 6))) (fma.f64 x (.f64 z -6) x))

Compiler

Compiled 1433 to 811 computations (43.4% saved)

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (sqrt.f64 6) (.f64 (.f64 y z) (sqrt.f64 6))) (fma.f64 x (.f64 z -6) x))
	0.1b	(fma.f64 x (*.f64 z -6) x)
✓	0.5b	(.f64 (sqrt.f64 6) (.f64 (*.f64 y z) (sqrt.f64 6)))
✓	0.5b	(.f64 (.f64 y z) (sqrt.f64 6))

series53.0ms (1.9%)

Counts

3 → 84

Calls

3 calls:

25.0ms	(+.f64 (.f64 (sqrt.f64 6) (.f64 (.f64 y z) (sqrt.f64 6))) (fma.f64 x (.f64 z -6) x))
20.0ms	(.f64 (sqrt.f64 6) (.f64 (*.f64 y z) (sqrt.f64 6)))
7.0ms	(.f64 (.f64 y z) (sqrt.f64 6))

rewrite21.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-cbrt-cube_binary64`
17×	`add-exp-log_binary64`
17×	`pow1_binary64`
9×	`cbrt-unprod_binary64`
9×	`prod-exp_binary64`

Counts

3 → 64

Calls

3 calls:

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

simplify97.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

444×	`fma-neg_binary64`
368×	`*-commutative_binary64`
362×	`neg-mul-1_binary64`
356×	`cancel-sign-sub-inv_binary64`
294×	`fma-def_binary64`

Counts

148 → 102

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	118	2036
1	314	1594
2	985	1505
3	2586	1493
4	4362	1493
5	5068	1493

prune101.0ms (3.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	127	4	131

Error

0.0b

Counts

131 → 4

Alt Table

Status	Error	Program
✓	0.1b	(+.f64 (.f64 6 (.f64 y z)) (fma.f64 x (*.f64 z -6) x))
✓	0.2b	(fma.f64 (*.f64 (-.f64 y x) 6) z x)
	27.4b	(-.f64 (/.f64 (-.f64 (.f64 y (.f64 z (.f64 (.f64 y z) 36))) (.f64 x x)) (-.f64 (.f64 6 (.f64 y z)) x)) (.f64 6 (*.f64 z x)))
✓	0.4b	(+.f64 (.f64 (sqrt.f64 6) (.f64 (.f64 y z) (sqrt.f64 6))) (fma.f64 x (.f64 z -6) x))

Compiler

Compiled 2685 to 1745 computations (35% saved)

regimes243.0ms (9%)

Accuracy

Total 0.1b remaining (83.8%)

Threshold costs 0.1b (83.8%)

Counts

69 → 1

Compiler

Compiled 4248 to 2938 computations (30.8% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	17
1	15	17
2	15	17

end64.0ms (2.4%)

Compiler: Compiled 105 to 69 computations (34.3% saved)

Details

analyze506.0ms (18.7%)

sample1.0s (37.9%)

simplify50.0ms (1.9%)

prune3.0ms (0.1%)

localize6.0ms (0.2%)

series14.0ms (0.5%)

rewrite6.0ms (0.2%)

simplify84.0ms (3.1%)

prune46.0ms (1.7%)

localize8.0ms (0.3%)

series25.0ms (0.9%)

rewrite23.0ms (0.8%)

simplify76.0ms (2.8%)

prune83.0ms (3.1%)

localize7.0ms (0.3%)

series16.0ms (0.6%)

rewrite5.0ms (0.2%)

simplify75.0ms (2.8%)

prune52.0ms (1.9%)

localize11.0ms (0.4%)

series53.0ms (1.9%)

rewrite21.0ms (0.8%)

simplify97.0ms (3.6%)

prune101.0ms (3.7%)

regimes243.0ms (9%)

simplify2.0ms (0.1%)

end64.0ms (2.4%)

Profiling