Details

analyze355.0ms (17.2%)

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
43.3%	48%	8.7%	10
49.7%	40.8%	9.5%	11
55.7%	34%	10.3%	12
61.3%	23.7%	15%	13
65%	19.8%	15.3%	14

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample159.0ms (7.7%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
1.0ms	15×	body	128	invalid

Compiler

Compiled 28 to 20 computations (28.6% saved)

simplify53.0ms (2.6%)

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 (0.3%)

Local error

Found 2 expressions with local error:

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

series12.0ms (0.6%)

Counts

2 → 60

Calls

2 calls:

9.0ms	(fma.f64 (*.f64 (-.f64 y x) 6) z x)
3.0ms	(*.f64 (-.f64 y x) 6)

rewrite8.0ms (0.4%)

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:

6.0ms	(*.f64 (-.f64 y x) 6)
0.0ms	(fma.f64 (*.f64 (-.f64 y x) 6) z x)

simplify84.0ms (4.1%)

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

prune45.0ms (2.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	65	5	70
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	66	5	71

Error

0.0b

Counts

71 → 5

Alt Table

Status	Error	Program
▶	0.1b	(fma.f64 6 (*.f64 z (-.f64 y x)) x)
	0.1b	(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
	34.9b	(fma.f64 (cbrt.f64 (.f64 (.f64 (.f64 (-.f64 y x) 6) (.f64 (-.f64 y x) 6)) (*.f64 (-.f64 y x) 6))) z x)
	35.2b	(.f64 (sqrt.f64 (fma.f64 (.f64 (-.f64 y x) 6) z x)) (sqrt.f64 (fma.f64 (*.f64 (-.f64 y x) 6) z x)))
	28.8b	(.f64 (-.f64 (.f64 6 y) (*.f64 6 x)) z)

Compiler

Compiled 1052 to 521 computations (50.5% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series17.0ms (0.8%)

Counts

2 → 60

Calls

2 calls:

9.0ms	(fma.f64 6 (*.f64 z (-.f64 y x)) x)
8.0ms	(*.f64 z (-.f64 y x))

rewrite9.0ms (0.4%)

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)

simplify110.0ms (5.4%)

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

prune69.0ms (3.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	89	1	90
Fresh	1	3	4
Picked	1	0	1
Done	0	0	0
Total	91	4	95

Error

0.0b

Counts

95 → 4

Alt Table

Status	Error	Program
▶	0.1b	(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
	35.2b	(.f64 (sqrt.f64 (fma.f64 (.f64 (-.f64 y x) 6) z x)) (sqrt.f64 (fma.f64 (*.f64 (-.f64 y x) 6) z x)))
	0.2b	(fma.f64 (*.f64 6 z) (-.f64 y x) x)
	28.8b	(.f64 (-.f64 (.f64 6 y) (*.f64 6 x)) z)

Compiler

Compiled 1590 to 606 computations (61.9% saved)

localize9.0ms (0.4%)

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 z x))
✓	0.2b	(.f64 6 (.f64 y z))

series29.0ms (1.4%)

Counts

4 → 18

Calls

4 calls:

14.0ms	(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
6.0ms	(+.f64 (.f64 6 (.f64 y z)) x)
4.0ms	(.f64 6 (.f64 y z))
4.0ms	(.f64 6 (.f64 z x))

rewrite20.0ms (1%)

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

simplify87.0ms (4.2%)

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

prune74.0ms (3.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	116	1	117
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	116	5	121

Error

Counts

121 → 5

Alt Table

Status	Error	Program
	28.9b	(-.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)))
▶	0.2b	(fma.f64 (*.f64 6 z) (-.f64 y x) x)
✓	0.1b	(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
	35.2b	(.f64 (sqrt.f64 (fma.f64 (.f64 (-.f64 y x) 6) z x)) (sqrt.f64 (fma.f64 (*.f64 (-.f64 y x) 6) z x)))
	28.8b	(.f64 (-.f64 (.f64 6 y) (*.f64 6 x)) z)

Compiler

Compiled 2416 to 1294 computations (46.4% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series8.0ms (0.4%)

Counts

1 → 36

Calls

1 calls:

8.0ms

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

simplify50.0ms (2.4%)

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`
395×	`associate-r_binary64`

Counts

46 → 29

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	39	697
1	100	512
2	221	506
3	586	506
4	2785	506
5	5027	506

prune13.0ms (0.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	29	0	29
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	29	5	34

Error

Counts

34 → 5

Alt Table

Status	Error	Program
	28.9b	(-.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)))
✓	0.2b	(fma.f64 (*.f64 6 z) (-.f64 y x) x)
✓	0.1b	(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
	35.2b	(.f64 (sqrt.f64 (fma.f64 (.f64 (-.f64 y x) 6) z x)) (sqrt.f64 (fma.f64 (*.f64 (-.f64 y x) 6) z x)))
	28.8b	(.f64 (-.f64 (.f64 6 y) (*.f64 6 x)) z)

Compiler

Compiled 429 to 220 computations (48.7% saved)

regimes208.0ms (10.1%)

Accuracy

Total 0.1b remaining (90.7%)

Threshold costs 0.1b (90.7%)

Counts

61 → 1

Compiler

Compiled 3332 to 2226 computations (33.2% saved)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
4×	`+-commutative_binary64`
3×	`sub-neg_binary64`
3×	`neg-sub0_binary64`
3×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	16
1	19	14
2	27	14
3	33	14
4	36	14
5	37	14
6	37	14

end0.0ms (0%)

Compiler: Compiled 13 to 8 computations (38.5% saved)

sample623.0ms (30.2%)

Algorithm

1×

intervals

Results

288.0ms	8000×	body	128	valid
18.0ms	583×	body	128	invalid

Compiler

Compiled 120 to 78 computations (35% saved)

Details

analyze355.0ms (17.2%)

sample159.0ms (7.7%)

simplify53.0ms (2.6%)

prune3.0ms (0.1%)

localize5.0ms (0.3%)

series12.0ms (0.6%)

rewrite8.0ms (0.4%)

simplify84.0ms (4.1%)

prune45.0ms (2.2%)

localize5.0ms (0.2%)

series17.0ms (0.8%)

rewrite9.0ms (0.4%)

simplify110.0ms (5.4%)

prune69.0ms (3.3%)

localize9.0ms (0.4%)

series29.0ms (1.4%)

rewrite20.0ms (1%)

simplify87.0ms (4.2%)

prune74.0ms (3.6%)

localize5.0ms (0.2%)

series8.0ms (0.4%)

rewrite1.0ms (0%)

simplify50.0ms (2.4%)

prune13.0ms (0.6%)

regimes208.0ms (10.1%)

simplify4.0ms (0.2%)

end0.0ms (0%)

sample623.0ms (30.2%)

Profiling