Details

analyze555.0ms (21.5%)

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%	57.7%	1.7%	9
45.2%	51.1%	3.7%	10
57.7%	33.5%	8.7%	11
59.7%	29.4%	10.9%	12
62%	25%	13%	13
68.3%	17.4%	14.4%	14

Compiler

Compiled 17 to 12 computations (29.4% saved)

sample34.0ms (1.3%)

Algorithm

1×

intervals

Results

12.0ms	254×	body	128	valid
1.0ms	23×	body	128	invalid
0.0ms	2×	body	512	valid

Compiler

Compiled 36 to 26 computations (27.8% saved)

simplify10.0ms (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)))

series8.0ms (0.3%)

Counts

1 → 36

Calls

1 calls:

8.0ms

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

rewrite9.0ms (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:

7.0ms

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

simplify66.0ms (2.5%)

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

prune90.0ms (3.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	48	2	50
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	49	3	52

Error

0.0b

Counts

52 → 3

Alt Table

Status	Error	Program
▶	0.0b	(+.f64 (.f64 d2 d1) (+.f64 (.f64 d1 d3) (*.f64 37 d1)))
	32.2b	(.f64 (sqrt.f64 d1) (.f64 (sqrt.f64 d1) (+.f64 d2 (+.f64 d3 37))))
✓	0.0b	(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))

Compiler

Compiled 698 to 409 computations (41.4% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

series20.0ms (0.8%)

Counts

2 → 54

Calls

2 calls:

15.0ms	(+.f64 (.f64 d2 d1) (+.f64 (.f64 d1 d3) (*.f64 37 d1)))
5.0ms	(+.f64 (.f64 d1 d3) (.f64 37 d1))

rewrite9.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-log-exp_binary64`
4×	`sum-log_binary64`
2×	`+-commutative_binary64`
2×	`flip-+_binary64`
2×	`*-un-lft-identity_binary64`

Counts

2 → 30

Calls

2 calls:

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

simplify74.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

539×	`fma-def_binary64`
530×	`associate-l_binary64`
468×	`fma-neg_binary64`
414×	`associate-r_binary64`
378×	`distribute-rgt-in_binary64`

Counts

84 → 63

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	65	918
1	233	834
2	852	826
3	3375	821
4	4728	821
5	5046	821

prune44.0ms (1.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	62	1	63
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	62	4	66

Error

Counts

66 → 4

Alt Table

Status	Error	Program
✓	0.0b	(+.f64 (.f64 d2 d1) (+.f64 (.f64 d1 d3) (*.f64 37 d1)))
	32.2b	(.f64 (sqrt.f64 d1) (.f64 (sqrt.f64 d1) (+.f64 d2 (+.f64 d3 37))))
✓	0.0b	(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))
▶	25.6b	(+.f64 (.f64 d2 d1) (/.f64 (.f64 d1 (.f64 d1 (fma.f64 d3 d3 -1369))) (.f64 d1 (+.f64 d3 -37))))

Compiler

Compiled 1062 to 541 computations (49.1% saved)

localize13.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 d1 (+.f64 d3 -37))
✓	0.9b	(.f64 d1 (.f64 d1 (fma.f64 d3 d3 -1369)))
✓	4.5b	(*.f64 d1 (fma.f64 d3 d3 -1369))
✓	26.0b	(/.f64 (.f64 d1 (.f64 d1 (fma.f64 d3 d3 -1369))) (*.f64 d1 (+.f64 d3 -37)))

series49.0ms (1.9%)

Counts

4 → 96

Calls

4 calls:

19.0ms	(/.f64 (.f64 d1 (.f64 d1 (fma.f64 d3 d3 -1369))) (*.f64 d1 (+.f64 d3 -37)))
15.0ms	(.f64 d1 (.f64 d1 (fma.f64 d3 d3 -1369)))
10.0ms	(*.f64 d1 (fma.f64 d3 d3 -1369))
4.0ms	(*.f64 d1 (+.f64 d3 -37))

rewrite26.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`add-cbrt-cube_binary64`
34×	`add-exp-log_binary64`
14×	`cbrt-unprod_binary64`
14×	`prod-exp_binary64`
13×	`add-sqr-sqrt_binary64`

Counts

4 → 100

Calls

4 calls:

8.0ms	(/.f64 (.f64 d1 (.f64 d1 (fma.f64 d3 d3 -1369))) (*.f64 d1 (+.f64 d3 -37)))
5.0ms	(.f64 d1 (.f64 d1 (fma.f64 d3 d3 -1369)))
5.0ms	(*.f64 d1 (+.f64 d3 -37))
3.0ms	(*.f64 d1 (fma.f64 d3 d3 -1369))

simplify150.0ms (5.8%)

Algorithm

1×	egg-herbie

Rules

462×	`distribute-rgt-in_binary64`
455×	`distribute-lft-in_binary64`
361×	`associate-/l/_binary64`
359×	`times-frac_binary64`
165×	`associate-/l*_binary64`

Counts

196 → 159

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	156	2617
1	382	2099
2	1783	2085
3	4743	2083
4	4968	2083

prune141.0ms (5.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	159	0	159
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	159	4	163

Error

Counts

163 → 4

Alt Table

Status	Error	Program
✓	0.0b	(+.f64 (.f64 d2 d1) (+.f64 (.f64 d1 d3) (*.f64 37 d1)))
▶	32.2b	(.f64 (sqrt.f64 d1) (.f64 (sqrt.f64 d1) (+.f64 d2 (+.f64 d3 37))))
✓	0.0b	(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))
✓	25.6b	(+.f64 (.f64 d2 d1) (/.f64 (.f64 d1 (.f64 d1 (fma.f64 d3 d3 -1369))) (.f64 d1 (+.f64 d3 -37))))

Compiler

Compiled 3734 to 1991 computations (46.7% saved)

localize13.0ms (0.5%)

Local error

Found 2 expressions with local error:

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

series44.0ms (1.7%)

Counts

2 → 56

Calls

2 calls:

28.0ms	(*.f64 (sqrt.f64 d1) (+.f64 d2 (+.f64 d3 37)))
16.0ms	(.f64 (sqrt.f64 d1) (.f64 (sqrt.f64 d1) (+.f64 d2 (+.f64 d3 37))))

rewrite20.0ms (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:

9.0ms	(.f64 (sqrt.f64 d1) (.f64 (sqrt.f64 d1) (+.f64 d2 (+.f64 d3 37))))
8.0ms	(*.f64 (sqrt.f64 d1) (+.f64 d2 (+.f64 d3 37)))

simplify156.0ms (6.1%)

Algorithm

1×	egg-herbie

Rules

688×	`fma-def_binary64`
614×	`fma-neg_binary64`
548×	`+-commutative_binary64`
327×	`*-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

prune47.0ms (1.8%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	106	4	110

Error

Counts

110 → 4

Alt Table

Status	Error	Program
✓	0.0b	(+.f64 (.f64 d2 d1) (+.f64 (.f64 d1 d3) (*.f64 37 d1)))
✓	32.2b	(.f64 (sqrt.f64 d1) (.f64 (sqrt.f64 d1) (+.f64 d2 (+.f64 d3 37))))
✓	0.0b	(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))
✓	25.6b	(+.f64 (.f64 d2 d1) (/.f64 (.f64 d1 (.f64 d1 (fma.f64 d3 d3 -1369))) (.f64 d1 (+.f64 d3 -37))))

Compiler

Compiled 1766 to 853 computations (51.7% saved)

regimes183.0ms (7.1%)

Accuracy

Total 0.0b remaining (66.6%)

Threshold costs 0.0b (66.6%)

Counts

38 → 1

Compiler

Compiled 2703 to 1827 computations (32.4% 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	9	14
1	12	14
2	12	14

end8.0ms (0.3%)

Remove: (sort d2 d3)
Compiler: Compiled 39 to 24 computations (38.5% saved)

sample795.0ms (30.8%)

Algorithm

1×

intervals

Results

388.0ms	7953×	body	128	valid
37.0ms	715×	body	128	invalid
3.0ms	23×	body	512	valid
2.0ms	13×	body	1024	valid
1.0ms	11×	body	256	valid

Compiler

Compiled 92 to 61 computations (33.7% saved)

Details

analyze555.0ms (21.5%)

sample34.0ms (1.3%)

simplify10.0ms (0.4%)

prune3.0ms (0.1%)

localize5.0ms (0.2%)

series8.0ms (0.3%)

rewrite9.0ms (0.3%)

simplify66.0ms (2.5%)

prune90.0ms (3.5%)

localize7.0ms (0.3%)

series20.0ms (0.8%)

rewrite9.0ms (0.4%)

simplify74.0ms (2.9%)

prune44.0ms (1.7%)

localize13.0ms (0.5%)

series49.0ms (1.9%)

rewrite26.0ms (1%)

simplify150.0ms (5.8%)

prune141.0ms (5.5%)

localize13.0ms (0.5%)

series44.0ms (1.7%)

rewrite20.0ms (0.8%)

simplify156.0ms (6.1%)

prune47.0ms (1.8%)

regimes183.0ms (7.1%)

simplify2.0ms (0.1%)

end8.0ms (0.3%)

sample795.0ms (30.8%)

Profiling