Details

analyze462.0ms (15.2%)

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)

sample54.0ms (1.8%)

Algorithm

1×

intervals

Symmetry

(sort d2 d3)

Results

15.0ms	256×	body	128	valid
1.0ms	27×	body	128	invalid

Compiler

Compiled 36 to 26 computations (27.8% 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)

localize4.0ms (0.1%)

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:

8.0ms

(*.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)))

simplify71.0ms (2.3%)

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 (1.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	50	0	50
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	50	2	52

Error

0.0b

Counts

52 → 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 674 to 395 computations (41.4% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

series24.0ms (0.8%)

Counts

3 → 96

Calls

3 calls:

11.0ms	(+.f64 (+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1)) (*.f64 d1 32))
10.0ms	(+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1))
4.0ms	(*.f64 (+.f64 d3 5) d1)

rewrite15.0ms (0.5%)

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 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))

simplify91.0ms (3%)

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

prune75.0ms (2.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	107	1	108
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	107	3	110

Error

Counts

110 → 3

Alt Table

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

Compiler

Compiled 2014 to 1195 computations (40.7% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(*.f64 (+.f64 d3 5) d1)
	0.0b	(+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1))
✓	0.1b	(sqrt.f64 (+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1)))
✓	0.2b	(fma.f64 (sqrt.f64 (+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1))) (sqrt.f64 (+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1))) (*.f64 d1 32))

series935.0ms (30.7%)

Counts

2 → 19

Calls

2 calls:

715.0ms	(fma.f64 (sqrt.f64 (+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1))) (sqrt.f64 (+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1))) (*.f64 d1 32))
220.0ms	(sqrt.f64 (+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1)))

rewrite4.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`add-sqr-sqrt_binary64`
3×	`sqrt-prod_binary64`
3×	`*-un-lft-identity_binary64`
3×	`add-cube-cbrt_binary64`
3×	`pow1_binary64`

Counts

2 → 27

Calls

2 calls:

3.0ms	(sqrt.f64 (+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1)))
0.0ms	(fma.f64 (sqrt.f64 (+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1))) (sqrt.f64 (+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1))) (*.f64 d1 32))

simplify65.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

626×	`fma-def_binary64`
329×	`associate-/l*_binary64`
299×	`associate-/r*_binary64`
275×	`cancel-sign-sub-inv_binary64`
222×	`distribute-rgt-in_binary64`

Counts

46 → 73

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	147	1277
1	409	1149
2	1470	1089
3	4763	1069
4	4978	1069

prune180.0ms (5.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	254	0	254
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	254	3	257

Error

Counts

257 → 3

Alt Table

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

Compiler

Compiled 8299 to 4882 computations (41.2% saved)

regimes239.0ms (7.8%)

Accuracy

Total 0.0b remaining (67.7%)

Threshold costs 0.0b (67.7%)

Counts

47 → 1

Compiler

Compiled 4426 to 3025 computations (31.7% 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

end6.0ms (0.2%)

Remove: (sort d2 d3)
Compiler: Compiled 30 to 21 computations (30% saved)

sample739.0ms (24.3%)

Algorithm

1×

intervals

Results

379.0ms	7961×	body	128	valid
35.0ms	696×	body	128	invalid
3.0ms	16×	body	1024	valid
2.0ms	14×	body	512	valid
1.0ms	9×	body	256	valid

Compiler

Compiled 83 to 57 computations (31.3% saved)

Details

analyze462.0ms (15.2%)

sample54.0ms (1.8%)

simplify10.0ms (0.3%)

prune3.0ms (0.1%)

localize4.0ms (0.1%)

series9.0ms (0.3%)

rewrite7.0ms (0.2%)

simplify71.0ms (2.3%)

prune33.0ms (1.1%)

localize8.0ms (0.3%)

series24.0ms (0.8%)

rewrite15.0ms (0.5%)

simplify91.0ms (3%)

prune75.0ms (2.5%)

localize9.0ms (0.3%)

series935.0ms (30.7%)

rewrite4.0ms (0.1%)

simplify65.0ms (2.1%)

prune180.0ms (5.9%)

regimes239.0ms (7.8%)

simplify2.0ms (0.1%)

end6.0ms (0.2%)

sample739.0ms (24.3%)

Profiling