Details

analyze427.0ms (16.2%)

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
37.4%	62.4%	0.1%	8
40.6%	56.9%	2.5%	9
45.2%	50.7%	4%	10
57.7%	33.5%	8.7%	11
59.7%	29.4%	11%	12
62%	25%	13%	13
68.3%	17.4%	14.4%	14

Compiler

Compiled 17 to 12 computations (29.4% saved)

sample981.0ms (37.1%)

Symmetry

(sort d2 d3)

Results

854.0ms	8221×	body	128	valid
73.0ms	709×	body	128	invalid
3.0ms	11×	body	1024	valid
3.0ms	13×	body	512	valid
3.0ms	11×	body	256	valid

Compiler

Compiled 50 to 35 computations (30% saved)

simplify12.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

114×	`fma-def_binary64`
61×	`associate-+l+_binary64`
40×	`associate-+r+_binary64`
34×	`distribute-lft-out_binary64`
33×	`+-commutative_binary64`

Counts

1 → 2

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	17
1	21	14
2	50	10
3	125	10
4	216	10
5	237	10
6	249	10
7	235	10

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

0.0b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	0.0b	(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))
	0.0b	(+.f64 (+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1)) (*.f64 d1 32))

Compiler

Compiled 75 to 51 computations (32% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))

series7.0ms (0.3%)

Counts

1 → 36

Calls

1 calls:

7.0ms

(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))

rewrite8.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`*-un-lft-identity_binary64`
5×	`associate-r_binary64`
5×	`add-sqr-sqrt_binary64`
3×	`distribute-lft-out_binary64`
3×	`associate-l_binary64`

Counts

1 → 26

Calls

1 calls:

6.0ms

(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))

simplify244.0ms (9.2%)

Algorithm

1×	egg-herbie

Rules

961×	`distribute-rgt-in_binary64`
953×	`distribute-lft-in_binary64`
416×	`associate-l_binary64`
318×	`associate-r_binary64`
261×	`fma-def_binary64`

Counts

62 → 50

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	65	687
1	163	645
2	700	643
3	4006	643
4	4316	643
5	5142	643

prune105.0ms (4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	47	3	50
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	48	4	52

Error

Counts

52 → 4

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))
	1.4b	(.f64 (.f64 (cbrt.f64 d1) (cbrt.f64 d1)) (*.f64 (cbrt.f64 d1) (+.f64 d2 (+.f64 d3 37))))
▶	0.0b	(+.f64 (.f64 d2 d1) (.f64 (+.f64 d3 37) d1))
	28.5b	(.f64 (sqrt.f64 (.f64 d1 (+.f64 d2 (+.f64 d3 37)))) (sqrt.f64 (*.f64 d1 (+.f64 d2 (+.f64 d3 37)))))

Compiler

Compiled 740 to 437 computations (40.9% saved)

localize14.0ms (0.5%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (+.f64 d3 37) d1)
✓	0.0b	(+.f64 (.f64 d2 d1) (.f64 (+.f64 d3 37) d1))

series13.0ms (0.5%)

Counts

2 → 60

Calls

2 calls:

9.0ms	(+.f64 (.f64 d2 d1) (.f64 (+.f64 d3 37) d1))
4.0ms	(*.f64 (+.f64 d3 37) d1)

rewrite10.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 38

Calls

2 calls:

5.0ms	(*.f64 (+.f64 d3 37) d1)
3.0ms	(+.f64 (.f64 d2 d1) (.f64 (+.f64 d3 37) d1))

simplify75.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

611×	`distribute-rgt-in_binary64`
591×	`associate-l_binary64`
585×	`distribute-lft-in_binary64`
473×	`associate-r_binary64`
410×	`sub-neg_binary64`

Counts

98 → 72

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	84	953
1	219	929
2	835	926
3	3452	926
4	4492	926
5	4945	926

prune40.0ms (1.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	70	2	72
Fresh	2	0	2
Picked	1	0	1
Done	0	1	1
Total	73	3	76

Error

Counts

76 → 3

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))
▶	0.0b	(fma.f64 d2 d1 (*.f64 (+.f64 d3 37) d1))
	12.9b	(+.f64 (.f64 d2 d1) (/.f64 (.f64 d1 (fma.f64 d3 d3 -1369)) (-.f64 d3 37)))

Compiler

Compiled 1072 to 603 computations (43.8% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 d2 d1 (*.f64 (+.f64 d3 37) d1))
	0.0b	(*.f64 (+.f64 d3 37) d1)

series8.0ms (0.3%)

Counts

1 → 36

Calls

1 calls:

8.0ms

(fma.f64 d2 d1 (*.f64 (+.f64 d3 37) d1))

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 d2 d1 (*.f64 (+.f64 d3 37) d1))

simplify35.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

868×	`associate-+l+_binary64`
863×	`associate-+r+_binary64`
408×	`distribute-rgt-out_binary64`
385×	`distribute-rgt-in_binary64`
378×	`distribute-lft-in_binary64`

Counts

46 → 29

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	551
1	47	457
2	82	457
3	291	457
4	1539	457
5	5761	457

prune35.0ms (1.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	65	1	66
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	66	3	69

Error

Counts

69 → 3

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))
✓	0.0b	(fma.f64 d2 d1 (*.f64 (+.f64 d3 37) d1))
▶	12.9b	(fma.f64 d2 d1 (/.f64 (*.f64 d1 (fma.f64 d3 d3 -1369)) (-.f64 d3 37)))

Compiler

Compiled 863 to 514 computations (40.4% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 d2 d1 (/.f64 (*.f64 d1 (fma.f64 d3 d3 -1369)) (-.f64 d3 37)))
✓	4.1b	(*.f64 d1 (fma.f64 d3 d3 -1369))
✓	8.2b	(/.f64 (*.f64 d1 (fma.f64 d3 d3 -1369)) (-.f64 d3 37))

series72.0ms (2.7%)

Counts

3 → 84

Calls

3 calls:

35.0ms	(/.f64 (*.f64 d1 (fma.f64 d3 d3 -1369)) (-.f64 d3 37))
29.0ms	(fma.f64 d2 d1 (/.f64 (*.f64 d1 (fma.f64 d3 d3 -1369)) (-.f64 d3 37)))
8.0ms	(*.f64 d1 (fma.f64 d3 d3 -1369))

rewrite11.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64`
11×	`*-un-lft-identity_binary64`
10×	`add-cbrt-cube_binary64`
10×	`add-exp-log_binary64`
7×	`add-cube-cbrt_binary64`

Counts

3 → 61

Calls

3 calls:

6.0ms	(/.f64 (*.f64 d1 (fma.f64 d3 d3 -1369)) (-.f64 d3 37))
3.0ms	(*.f64 d1 (fma.f64 d3 d3 -1369))
0.0ms	(fma.f64 d2 d1 (/.f64 (*.f64 d1 (fma.f64 d3 d3 -1369)) (-.f64 d3 37)))

simplify105.0ms (4%)

Algorithm

1×	egg-herbie

Rules

676×	`fma-def_binary64`
558×	`associate-/l*_binary64`
520×	`times-frac_binary64`
300×	`associate-*l/_binary64`
274×	`associate-/l/_binary64`

Counts

145 → 112

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	135	2256
1	294	2071
2	1013	1856
3	4314	1848
4	4982	1848

prune64.0ms (2.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	112	3	115

Error

Counts

115 → 3

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))
✓	0.0b	(fma.f64 d2 d1 (*.f64 (+.f64 d3 37) d1))
✓	12.9b	(fma.f64 d2 d1 (/.f64 (*.f64 d1 (fma.f64 d3 d3 -1369)) (-.f64 d3 37)))

Compiler

Compiled 2016 to 1195 computations (40.7% saved)

regimes107.0ms (4%)

Accuracy

Total 0.0b remaining (63.5%)

Threshold costs 0.0b (63.5%)

Counts

23 → 1

Compiler

Compiled 1417 to 963 computations (32% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	10	11
2	10	11

end249.0ms (9.4%)

Compiler: Compiled 81 to 52 computations (35.8% saved)

Details

analyze427.0ms (16.2%)

sample981.0ms (37.1%)

simplify12.0ms (0.4%)

prune3.0ms (0.1%)

localize5.0ms (0.2%)

series7.0ms (0.3%)

rewrite8.0ms (0.3%)

simplify244.0ms (9.2%)

prune105.0ms (4%)

localize14.0ms (0.5%)

series13.0ms (0.5%)

rewrite10.0ms (0.4%)

simplify75.0ms (2.8%)

prune40.0ms (1.5%)

localize5.0ms (0.2%)

series8.0ms (0.3%)

rewrite1.0ms (0%)

simplify35.0ms (1.3%)

prune35.0ms (1.3%)

localize8.0ms (0.3%)

series72.0ms (2.7%)

rewrite11.0ms (0.4%)

simplify105.0ms (4%)

prune64.0ms (2.4%)

regimes107.0ms (4%)

simplify2.0ms (0.1%)

end249.0ms (9.4%)

Profiling