Details

analyze97.0ms (5.5%)

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
25%	74.9%	0.1%	5
50%	50%	0.1%	6
56.2%	40.6%	3.2%	7
68.7%	25%	6.3%	8
71.8%	19.5%	8.7%	9
78%	12.5%	9.5%	10
79.6%	9.6%	10.8%	11
82.7%	6.2%	11%	12
83.5%	4.7%	11.8%	13
85.1%	3.1%	11.8%	14

Compiler

Compiled 14 to 10 computations (28.6% saved)

sample840.0ms (48.1%)

Results

763.0ms	8133×	body	128	valid
24.0ms	67×	body	1024	valid
12.0ms	44×	body	512	valid
9.0ms	97×	body	128	invalid
2.0ms	12×	body	256	valid

Compiler

Compiled 41 to 29 computations (29.3% saved)

simplify8.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

24×	`fma-def_binary64`
8×	`*-commutative_binary64`
7×	`+-commutative_binary64`
5×	`associate-+r+_binary64`
5×	`distribute-lft-out_binary64`

Counts

1 → 2

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	20	10
2	44	7
3	64	7
4	67	7
5	68	7
6	66	7

prune3.0ms (0.2%)

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
	0.2b	(+.f64 (+.f64 (.f64 d1 10) (.f64 d1 d2)) (*.f64 d1 20))
▶	0.0b	(*.f64 d1 (+.f64 d2 30))

Compiler

Compiled 58 to 40 computations (31% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 d1 (+.f64 d2 30))

series4.0ms (0.2%)

Counts

1 → 20

Calls

1 calls:

4.0ms

(*.f64 d1 (+.f64 d2 30))

rewrite5.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`*-un-lft-identity_binary64`
5×	`add-sqr-sqrt_binary64`
4×	`associate-r_binary64`
3×	`associate-l_binary64`
3×	`add-cube-cbrt_binary64`

Counts

1 → 25

Calls

1 calls:

4.0ms

(*.f64 d1 (+.f64 d2 30))

simplify63.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

898×	`distribute-rgt-in_binary64`
895×	`distribute-lft-in_binary64`
522×	`associate-*l/_binary64`
475×	`fma-def_binary64`
247×	`associate-l_binary64`

Counts

45 → 44

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	53	389
1	127	359
2	385	359
3	925	359
4	2929	359
5	3014	359
6	3452	359
7	4858	359

prune32.0ms (1.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	40	4	44
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	42	4	46

Error

Counts

46 → 4

Alt Table

Status	Error	Program
	11.2b	(/.f64 (*.f64 d1 (fma.f64 d2 d2 -900)) (-.f64 d2 30))
▶	0.0b	(+.f64 (.f64 d2 d1) (.f64 30 d1))
	11.8b	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d2 30))) (sqrt.f64 (+.f64 d2 30)))
	35.0b	(.f64 (sqrt.f64 (.f64 d1 (+.f64 d2 30))) (sqrt.f64 (*.f64 d1 (+.f64 d2 30))))

Compiler

Compiled 539 to 360 computations (33.2% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 d2 d1) (.f64 30 d1))

series5.0ms (0.3%)

Counts

1 → 15

Calls

1 calls:

5.0ms

(+.f64 (*.f64 d2 d1) (*.f64 30 d1))

rewrite3.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64`
1×	`+-commutative_binary64`
1×	`distribute-rgt-out_binary64`
1×	`flip-+_binary64`
1×	`*-un-lft-identity_binary64`

Counts

1 → 15

Calls

1 calls:

3.0ms

(+.f64 (*.f64 d2 d1) (*.f64 30 d1))

simplify70.0ms (4%)

Algorithm

1×	egg-herbie

Rules

727×	`unsub-neg_binary64`
558×	`distribute-rgt-out_binary64`
339×	`distribute-rgt-in_binary64`
296×	`distribute-lft-in_binary64`
285×	`associate-l_binary64`

Counts

30 → 28

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	34	282
1	119	258
2	411	253
3	1240	250
4	2507	249
5	3706	249
6	4378	249
7	5228	249

prune15.0ms (0.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	28	0	28
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	28	4	32

Error

Counts

32 → 4

Alt Table

Status	Error	Program
▶	11.2b	(/.f64 (*.f64 d1 (fma.f64 d2 d2 -900)) (-.f64 d2 30))
✓	0.0b	(+.f64 (.f64 d2 d1) (.f64 30 d1))
	11.8b	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d2 30))) (sqrt.f64 (+.f64 d2 30)))
	35.0b	(.f64 (sqrt.f64 (.f64 d1 (+.f64 d2 30))) (sqrt.f64 (*.f64 d1 (+.f64 d2 30))))

Compiler

Compiled 416 to 254 computations (38.9% saved)

localize26.0ms (1.5%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	3.1b	(*.f64 d1 (fma.f64 d2 d2 -900))
✓	7.5b	(/.f64 (*.f64 d1 (fma.f64 d2 d2 -900)) (-.f64 d2 30))

series27.0ms (1.6%)

Counts

2 → 48

Calls

2 calls:

18.0ms	(/.f64 (*.f64 d1 (fma.f64 d2 d2 -900)) (-.f64 d2 30))
9.0ms	(*.f64 d1 (fma.f64 d2 d2 -900))

rewrite11.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64`
10×	`*-un-lft-identity_binary64`
9×	`add-cbrt-cube_binary64`
9×	`add-exp-log_binary64`
6×	`add-cube-cbrt_binary64`

Counts

2 → 51

Calls

2 calls:

5.0ms	(/.f64 (*.f64 d1 (fma.f64 d2 d2 -900)) (-.f64 d2 30))
3.0ms	(*.f64 d1 (fma.f64 d2 d2 -900))

simplify67.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

786×	`div-sub_binary64`
586×	`associate-/l*_binary64`
533×	`times-frac_binary64`
362×	`fma-def_binary64`
297×	`associate-*l/_binary64`

Counts

99 → 88

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	104	1257
1	222	1136
2	874	1135
3	4049	1135
4	6643	1135

prune78.0ms (4.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	88	4	92

Error

Counts

92 → 4

Alt Table

Status	Error	Program
✓	11.2b	(/.f64 (*.f64 d1 (fma.f64 d2 d2 -900)) (-.f64 d2 30))
✓	0.0b	(+.f64 (.f64 d2 d1) (.f64 30 d1))
▶	11.8b	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d2 30))) (sqrt.f64 (+.f64 d2 30)))
	35.0b	(.f64 (sqrt.f64 (.f64 d1 (+.f64 d2 30))) (sqrt.f64 (*.f64 d1 (+.f64 d2 30))))

Compiler

Compiled 1405 to 907 computations (35.4% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 d1 (sqrt.f64 (+.f64 d2 30)))
✓	0.2b	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d2 30))) (sqrt.f64 (+.f64 d2 30)))

series22.0ms (1.3%)

Counts

2 → 36

Calls

2 calls:

18.0ms	(*.f64 d1 (sqrt.f64 (+.f64 d2 30)))
4.0ms	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d2 30))) (sqrt.f64 (+.f64 d2 30)))

rewrite22.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`associate-r_binary64`
14×	`sqrt-div_binary64`
11×	`*-un-lft-identity_binary64`
11×	`add-sqr-sqrt_binary64`
10×	`associate-*r/_binary64`

Counts

2 → 59

Calls

2 calls:

11.0ms	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d2 30))) (sqrt.f64 (+.f64 d2 30)))
5.0ms	(*.f64 d1 (sqrt.f64 (+.f64 d2 30)))

simplify72.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

762×	`fma-def_binary64`
508×	`associate-/r/_binary64`
356×	`associate-/l/_binary64`
308×	`distribute-lft-in_binary64`
308×	`fma-neg_binary64`

Counts

95 → 101

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	121	1198
1	294	1105
2	880	1095
3	2502	1089
4	4891	1089
5	5022	1089

prune56.0ms (3.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	101	4	105

Error

Counts

105 → 4

Alt Table

Status	Error	Program
✓	11.2b	(/.f64 (*.f64 d1 (fma.f64 d2 d2 -900)) (-.f64 d2 30))
✓	0.0b	(+.f64 (.f64 d2 d1) (.f64 30 d1))
✓	11.8b	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d2 30))) (sqrt.f64 (+.f64 d2 30)))
	35.0b	(.f64 (sqrt.f64 (.f64 d1 (+.f64 d2 30))) (sqrt.f64 (*.f64 d1 (+.f64 d2 30))))

Compiler

Compiled 1866 to 1381 computations (26% saved)

regimes154.0ms (8.8%)

Accuracy

Total 0.0b remaining (73.1%)

Threshold costs 0.0b (73.1%)

Counts

43 → 1

Compiler

Compiled 1577 to 1136 computations (28% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`
1×	`+-commutative_binary64`
1×	`*-rgt-identity_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	7
1	13	7
2	12	7

end53.0ms (3%)

Compiler: Compiled 63 to 45 computations (28.6% saved)

Details

analyze97.0ms (5.5%)

sample840.0ms (48.1%)

simplify8.0ms (0.5%)

prune3.0ms (0.2%)

localize3.0ms (0.2%)

series4.0ms (0.2%)

rewrite5.0ms (0.3%)

simplify63.0ms (3.6%)

prune32.0ms (1.8%)

localize4.0ms (0.2%)

series5.0ms (0.3%)

rewrite3.0ms (0.2%)

simplify70.0ms (4%)

prune15.0ms (0.9%)

localize26.0ms (1.5%)

series27.0ms (1.6%)

rewrite11.0ms (0.6%)

simplify67.0ms (3.8%)

prune78.0ms (4.4%)

localize5.0ms (0.3%)

series22.0ms (1.3%)

rewrite22.0ms (1.3%)

simplify72.0ms (4.1%)

prune56.0ms (3.2%)

regimes154.0ms (8.8%)

simplify2.0ms (0.1%)

end53.0ms (3%)

Profiling