Details

analyze505.0ms (17.3%)

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)

sample1.5s (52.2%)

Symmetry

(sort d2 d3)

Results

1.4s	8218×	body	128	valid
80.0ms	658×	body	128	invalid
9.0ms	12×	body	1024	valid
3.0ms	14×	body	512	valid
2.0ms	12×	body	256	valid

Compiler

Compiled 50 to 35 computations (30% saved)

simplify9.0ms (0.3%)

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)))

series9.0ms (0.3%)

Counts

1 → 36

Calls

1 calls:

9.0ms

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

rewrite7.0ms (0.2%)

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)))

simplify76.0ms (2.6%)

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

prune38.0ms (1.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	49	1	50
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	49	3	52

Error

Counts

52 → 3

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))
	32.3b	(.f64 (sqrt.f64 d1) (.f64 (sqrt.f64 d1) (+.f64 d2 (+.f64 d3 37))))
▶	0.0b	(+.f64 (+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1)) (*.f64 d1 32))

Compiler

Compiled 702 to 413 computations (41.2% saved)

localize10.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (+.f64 d3 5) d1)
✓	0.0b	(+.f64 (+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1)) (*.f64 d1 32))
✓	0.0b	(+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1))

series36.0ms (1.2%)

Counts

3 → 96

Calls

3 calls:

23.0ms	(+.f64 (+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1)) (*.f64 d1 32))
8.0ms	(+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1))
4.0ms	(*.f64 (+.f64 d3 5) d1)

rewrite17.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-log-exp_binary64`
8×	`*-un-lft-identity_binary64`
8×	`add-sqr-sqrt_binary64`
6×	`add-cube-cbrt_binary64`
5×	`add-cbrt-cube_binary64`

Counts

3 → 55

Calls

3 calls:

7.0ms	(*.f64 (+.f64 d3 5) d1)
5.0ms	(+.f64 (+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1)) (*.f64 d1 32))
3.0ms	(+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1))

simplify90.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

810×	`fma-def_binary64`
695×	`fma-neg_binary64`
486×	`cancel-sign-sub-inv_binary64`
332×	`*-commutative_binary64`
298×	`associate-+l+_binary64`

Counts

151 → 111

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	121	1635
1	348	1544
2	1326	1485
3	3601	1483
4	4941	1483
5	4843	1483

prune95.0ms (3.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	111	0	111
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	111	3	114

Error

Counts

114 → 3

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))
▶	32.3b	(.f64 (sqrt.f64 d1) (.f64 (sqrt.f64 d1) (+.f64 d2 (+.f64 d3 37))))
✓	0.0b	(+.f64 (+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1)) (*.f64 d1 32))

Compiler

Compiled 2056 to 1214 computations (41% saved)

localize31.0ms (1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (sqrt.f64 d1) (+.f64 d2 (+.f64 d3 37)))
✓	0.2b	(.f64 (sqrt.f64 d1) (.f64 (sqrt.f64 d1) (+.f64 d2 (+.f64 d3 37))))

series33.0ms (1.1%)

Counts

2 → 56

Calls

2 calls:

21.0ms	(*.f64 (sqrt.f64 d1) (+.f64 d2 (+.f64 d3 37)))
13.0ms	(.f64 (sqrt.f64 d1) (.f64 (sqrt.f64 d1) (+.f64 d2 (+.f64 d3 37))))

rewrite22.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`associate-l_binary64`
12×	`*-un-lft-identity_binary64`
11×	`add-sqr-sqrt_binary64`
9×	`add-cbrt-cube_binary64`
9×	`add-exp-log_binary64`

Counts

2 → 59

Calls

2 calls:

12.0ms	(.f64 (sqrt.f64 d1) (.f64 (sqrt.f64 d1) (+.f64 d2 (+.f64 d3 37))))
7.0ms	(*.f64 (sqrt.f64 d1) (+.f64 d2 (+.f64 d3 37)))

simplify117.0ms (4%)

Algorithm

1×	egg-herbie

Rules

688×	`fma-def_binary64`
614×	`fma-neg_binary64`
548×	`+-commutative_binary64`
328×	`*-commutative_binary64`
314×	`sub-neg_binary64`

Counts

115 → 106

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	105	1524
1	259	1362
2	1059	1358
3	1636	1358
4	2933	1358
5	4167	1358
6	4946	1358
7	4924	1358

prune49.0ms (1.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	106	3	109

Error

Counts

109 → 3

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))
✓	32.3b	(.f64 (sqrt.f64 d1) (.f64 (sqrt.f64 d1) (+.f64 d2 (+.f64 d3 37))))
✓	0.0b	(+.f64 (+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1)) (*.f64 d1 32))

Compiler

Compiled 1749 to 844 computations (51.7% saved)

regimes185.0ms (6.3%)

Accuracy

Total 0.0b remaining (83.5%)

Threshold costs 0.0b (83.5%)

Counts

34 → 1

Compiler

Compiled 2371 to 1659 computations (30% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	16	16
2	16	16

end60.0ms (2.1%)

Remove: (sort d2 d3)
Compiler: Compiled 96 to 67 computations (30.2% saved)

Details

analyze505.0ms (17.3%)

sample1.5s (52.2%)

simplify9.0ms (0.3%)

prune3.0ms (0.1%)

localize5.0ms (0.2%)

series9.0ms (0.3%)

rewrite7.0ms (0.2%)

simplify76.0ms (2.6%)

prune38.0ms (1.3%)

localize10.0ms (0.3%)

series36.0ms (1.2%)

rewrite17.0ms (0.6%)

simplify90.0ms (3.1%)

prune95.0ms (3.2%)

localize31.0ms (1%)

series33.0ms (1.1%)

rewrite22.0ms (0.8%)

simplify117.0ms (4%)

prune49.0ms (1.7%)

regimes185.0ms (6.3%)

simplify2.0ms (0.1%)

end60.0ms (2.1%)

Profiling