Details

analyze700.0ms (27.8%)

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)

sample1.0s (41%)

Symmetry

(sort d2 d3)

Results

892.0ms	8213×	body	128	valid
84.0ms	722×	body	128	invalid
4.0ms	17×	body	512	valid
4.0ms	13×	body	1024	valid
2.0ms	13×	body	256	valid

Compiler

Compiled 50 to 35 computations (30% saved)

simplify9.0ms (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)))

series9.0ms (0.3%)

Counts

1 → 36

Calls

1 calls:

9.0ms

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

rewrite7.0ms (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)))

simplify61.0ms (2.4%)

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

prune33.0ms (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
	1.2b	(.f64 (.f64 d1 (*.f64 (cbrt.f64 (+.f64 d2 (+.f64 d3 37))) (cbrt.f64 (+.f64 d2 (+.f64 d3 37))))) (cbrt.f64 (+.f64 d2 (+.f64 d3 37))))
✓	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 724 to 431 computations (40.5% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

series23.0ms (0.9%)

Counts

3 → 96

Calls

3 calls:

10.0ms	(+.f64 (+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1)) (*.f64 d1 32))
9.0ms	(+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1))
4.0ms	(*.f64 (+.f64 d3 5) d1)

rewrite15.0ms (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:

5.0ms	(+.f64 (+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1)) (*.f64 d1 32))
4.0ms	(*.f64 (+.f64 d3 5) d1)
3.0ms	(+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1))

simplify90.0ms (3.6%)

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

prune106.0ms (4.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	110	1	111
Fresh	1	0	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 (fma.f64 d1 d2 (.f64 (+.f64 d3 5) d1)) (.f64 d1 32))
✓	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 2058 to 1216 computations (40.9% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

series20.0ms (0.8%)

Counts

2 → 72

Calls

2 calls:

11.0ms	(+.f64 (fma.f64 d1 d2 (.f64 (+.f64 d3 5) d1)) (.f64 d1 32))
9.0ms	(fma.f64 d1 d2 (*.f64 (+.f64 d3 5) d1))

rewrite4.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`add-log-exp_binary64`
3×	`*-un-lft-identity_binary64`
3×	`add-sqr-sqrt_binary64`
3×	`fma-def_binary64`
3×	`add-cube-cbrt_binary64`

Counts

2 → 27

Calls

2 calls:

2.0ms	(+.f64 (fma.f64 d1 d2 (.f64 (+.f64 d3 5) d1)) (.f64 d1 32))
0.0ms	(fma.f64 d1 d2 (*.f64 (+.f64 d3 5) d1))

simplify114.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

341×	`distribute-rgt-out_binary64`
297×	`associate--r+_binary64`
280×	`distribute-lft-out_binary64`
278×	`distribute-rgt-in_binary64`
261×	`distribute-lft-in_binary64`

Counts

99 → 63

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	64	1144
1	166	1064
2	486	1009
3	2327	1008
4	4839	1008
5	4982	1008

prune61.0ms (2.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	103	3	106

Error

Counts

106 → 3

Alt Table

Status	Error	Program
✓	0.0b	(+.f64 (fma.f64 d1 d2 (.f64 (+.f64 d3 5) d1)) (.f64 d1 32))
✓	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 1758 to 1080 computations (38.6% saved)

regimes155.0ms (6.2%)

Accuracy

Total 0.0b remaining (71.4%)

Threshold costs 0.0b (71.4%)

Counts

34 → 1

Compiler

Compiled 2289 to 1625 computations (29% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

end54.0ms (2.2%)

Remove: (sort d2 d3)
Compiler: Compiled 81 to 56 computations (30.9% saved)

Details

analyze700.0ms (27.8%)

sample1.0s (41%)

simplify9.0ms (0.4%)

prune3.0ms (0.1%)

localize5.0ms (0.2%)

series9.0ms (0.3%)

rewrite7.0ms (0.3%)

simplify61.0ms (2.4%)

prune33.0ms (1.3%)

localize8.0ms (0.3%)

series23.0ms (0.9%)

rewrite15.0ms (0.6%)

simplify90.0ms (3.6%)

prune106.0ms (4.2%)

localize7.0ms (0.3%)

series20.0ms (0.8%)

rewrite4.0ms (0.1%)

simplify114.0ms (4.5%)

prune61.0ms (2.4%)

regimes155.0ms (6.2%)

simplify2.0ms (0.1%)

end54.0ms (2.2%)

Profiling