Details

analyze1.4s (37%)

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
0%	99.9%	0.1%	7
0%	99.9%	0.1%	8
0%	98.7%	1.3%	9
0%	97.9%	2.1%	10
0%	95.6%	4.4%	11
0%	94.4%	5.6%	12
0%	93.4%	6.6%	13
0%	92.7%	7.3%	14

Compiler

Compiled 17 to 12 computations (29.4% saved)

sample1.8s (45.3%)

Symmetry

(sort d2 d3)

Results

1.0s	8208×	body	128	valid
642.0ms	1094×	body	8192	exit
37.0ms	326×	body	128	invalid
5.0ms	15×	body	1024	valid
5.0ms	18×	body	512	valid
3.0ms	15×	body	256	valid

Compiler

Compiled 33 to 23 computations (30.3% saved)

simplify10.0ms (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 (0.1%)

Local error

Found 1 expressions with local error:

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

series10.0ms (0.2%)

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)))

simplify64.0ms (1.7%)

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

prune32.0ms (0.8%)

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)))
▶	0.0b	(+.f64 (+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1)) (*.f64 d1 32))
	1.4b	(.f64 (.f64 (cbrt.f64 (.f64 d1 (+.f64 d2 (+.f64 d3 37)))) (cbrt.f64 (.f64 d1 (+.f64 d2 (+.f64 d3 37))))) (cbrt.f64 (*.f64 d1 (+.f64 d2 (+.f64 d3 37)))))

Compiler

Compiled 732 to 435 computations (40.6% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

series23.0ms (0.6%)

Counts

3 → 96

Calls

3 calls:

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

rewrite15.0ms (0.4%)

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))

simplify94.0ms (2.4%)

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 → 108

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

prune69.0ms (1.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	107	1	108
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	109	2	111

Error

Counts

111 → 2

Alt Table

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

Compiler

Compiled 1982 to 1172 computations (40.9% saved)

localize8.0ms (0.2%)

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 (+.f64 d3 5) d1)
✓	0.0b	(+.f64 (fma.f64 d1 d2 (.f64 (+.f64 d3 5) d1)) (.f64 d1 32))

series24.0ms (0.6%)

Counts

2 → 72

Calls

2 calls:

13.0ms	(fma.f64 d1 d2 (*.f64 (+.f64 d3 5) d1))
11.0ms	(+.f64 (fma.f64 d1 d2 (.f64 (+.f64 d3 5) d1)) (.f64 d1 32))

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))

simplify83.0ms (2.1%)

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

prune57.0ms (1.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	102	2	104

Error

Counts

104 → 2

Alt Table

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

Compiler

Compiled 1711 to 1054 computations (38.4% saved)

regimes123.0ms (3.2%)

Accuracy

Total 0.0b remaining (71.5%)

Threshold costs 0.0b (71.5%)

Counts

24 → 1

Compiler

Compiled 1589 to 1106 computations (30.4% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	13	13
2	13	13

end45.0ms (1.2%)

Remove: (sort d2 d3)
Compiler: Compiled 73 to 49 computations (32.9% saved)

Details

analyze1.4s (37%)

sample1.8s (45.3%)

simplify10.0ms (0.3%)

prune3.0ms (0.1%)

localize5.0ms (0.1%)

series10.0ms (0.2%)

rewrite7.0ms (0.2%)

simplify64.0ms (1.7%)

prune32.0ms (0.8%)

localize8.0ms (0.2%)

series23.0ms (0.6%)

rewrite15.0ms (0.4%)

simplify94.0ms (2.4%)

prune69.0ms (1.8%)

localize8.0ms (0.2%)

series24.0ms (0.6%)

rewrite4.0ms (0.1%)

simplify83.0ms (2.1%)

prune57.0ms (1.5%)

regimes123.0ms (3.2%)

simplify3.0ms (0.1%)

end45.0ms (1.2%)

Profiling