Details

analyze120.0ms (7.5%)

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)

sample19.0ms (1.2%)

Algorithm

1×

intervals

Results

11.0ms	251×	body	128	valid
1.0ms	4×	body	1024	valid
0.0ms	1×	body	512	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 29 to 21 computations (27.6% 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

prune4.0ms (0.3%)

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
	0.1b	(+.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 (0.3%)

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))

simplify71.0ms (4.5%)

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

prune26.0ms (1.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	41	3	44
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	42	4	46

Error

Counts

46 → 4

Alt Table

Status	Error	Program
	20.3b	(/.f64 (.f64 d1 (+.f64 (pow.f64 d2 3) 27000)) (+.f64 (.f64 d2 d2) (-.f64 (.f64 30 30) (.f64 d2 30))))
	15.3b	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d2 30))) (sqrt.f64 (+.f64 d2 30)))
▶	13.5b	(/.f64 (*.f64 d1 (fma.f64 d2 d2 -900)) (-.f64 d2 30))
✓	0.0b	(*.f64 d1 (+.f64 d2 30))

Compiler

Compiled 540 to 363 computations (32.8% saved)

localize9.0ms (0.6%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	5.7b	(*.f64 d1 (fma.f64 d2 d2 -900))
✓	7.0b	(/.f64 (*.f64 d1 (fma.f64 d2 d2 -900)) (-.f64 d2 30))

series31.0ms (2%)

Counts

2 → 48

Calls

2 calls:

21.0ms	(/.f64 (*.f64 d1 (fma.f64 d2 d2 -900)) (-.f64 d2 30))
10.0ms	(*.f64 d1 (fma.f64 d2 d2 -900))

rewrite12.0ms (0.7%)

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:

7.0ms	(/.f64 (*.f64 d1 (fma.f64 d2 d2 -900)) (-.f64 d2 30))
3.0ms	(*.f64 d1 (fma.f64 d2 d2 -900))

simplify68.0ms (4.3%)

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

prune48.0ms (3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	86	2	88
Fresh	2	0	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 d1 (/.f64 (-.f64 d2 30) (fma.f64 d2 d2 -900)))
✓	13.5b	(/.f64 (*.f64 d1 (fma.f64 d2 d2 -900)) (-.f64 d2 30))
	14.1b	(*.f64 (/.f64 d1 (-.f64 d2 30)) (fma.f64 d2 d2 -900))
✓	0.0b	(*.f64 d1 (+.f64 d2 30))

Compiler

Compiled 1395 to 896 computations (35.8% saved)

localize9.0ms (0.6%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 d1 (/.f64 (-.f64 d2 30) (fma.f64 d2 d2 -900)))
✓	10.4b	(/.f64 (-.f64 d2 30) (fma.f64 d2 d2 -900))

series22.0ms (1.4%)

Counts

2 → 36

Calls

2 calls:

19.0ms	(/.f64 d1 (/.f64 (-.f64 d2 30) (fma.f64 d2 d2 -900)))
3.0ms	(/.f64 (-.f64 d2 30) (fma.f64 d2 d2 -900))

rewrite31.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

132×	`times-frac_binary64`
100×	`*-un-lft-identity_binary64`
100×	`add-sqr-sqrt_binary64`
68×	`add-cube-cbrt_binary64`
22×	`associate-/r*_binary64`

Counts

2 → 136

Calls

2 calls:

6.0ms	(/.f64 d1 (/.f64 (-.f64 d2 30) (fma.f64 d2 d2 -900)))
5.0ms	(/.f64 (-.f64 d2 30) (fma.f64 d2 d2 -900))

simplify130.0ms (8.1%)

Algorithm

1×	egg-herbie

Rules

510×	`fma-def_binary64`
474×	`associate-/r/_binary64`
414×	`associate-/l/_binary64`
362×	`associate-*l/_binary64`
349×	`associate-/l*_binary64`

Counts

172 → 208

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	240	4049
1	552	3889
2	1730	3883
3	4253	3876
4	5129	3876

prune116.0ms (7.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	208	0	208
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	208	4	212

Error

Counts

212 → 4

Alt Table

Status	Error	Program
✓	11.2b	(/.f64 d1 (/.f64 (-.f64 d2 30) (fma.f64 d2 d2 -900)))
✓	13.5b	(/.f64 (*.f64 d1 (fma.f64 d2 d2 -900)) (-.f64 d2 30))
▶	14.1b	(*.f64 (/.f64 d1 (-.f64 d2 30)) (fma.f64 d2 d2 -900))
✓	0.0b	(*.f64 d1 (+.f64 d2 30))

Compiler

Compiled 4552 to 2925 computations (35.7% saved)

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 d1 (-.f64 d2 30))
✓	13.6b	(*.f64 (/.f64 d1 (-.f64 d2 30)) (fma.f64 d2 d2 -900))

series30.0ms (1.9%)

Counts

2 → 36

Calls

2 calls:

18.0ms	(*.f64 (/.f64 d1 (-.f64 d2 30)) (fma.f64 d2 d2 -900))
12.0ms	(/.f64 d1 (-.f64 d2 30))

rewrite16.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

41×	`add-sqr-sqrt_binary64`
36×	`*-un-lft-identity_binary64`
31×	`times-frac_binary64`
22×	`add-cube-cbrt_binary64`
21×	`associate-l_binary64`

Counts

2 → 83

Calls

2 calls:

7.0ms	(*.f64 (/.f64 d1 (-.f64 d2 30)) (fma.f64 d2 d2 -900))
4.0ms	(/.f64 d1 (-.f64 d2 30))

simplify80.0ms (5%)

Algorithm

1×	egg-herbie

Rules

452×	`fma-neg_binary64`
388×	`associate-l_binary64`
305×	`associate-r_binary64`
305×	`fma-def_binary64`
297×	`associate-/l*_binary64`

Counts

119 → 133

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	170	1877
1	394	1752
2	1192	1727
3	4027	1725
4	4908	1725

prune65.0ms (4.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	133	0	133
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	133	4	137

Error

Counts

137 → 4

Alt Table

Status	Error	Program
✓	11.2b	(/.f64 d1 (/.f64 (-.f64 d2 30) (fma.f64 d2 d2 -900)))
✓	13.5b	(/.f64 (*.f64 d1 (fma.f64 d2 d2 -900)) (-.f64 d2 30))
✓	14.1b	(*.f64 (/.f64 d1 (-.f64 d2 30)) (fma.f64 d2 d2 -900))
✓	0.0b	(*.f64 d1 (+.f64 d2 30))

Compiler

Compiled 2433 to 1521 computations (37.5% saved)

regimes77.0ms (4.8%)

Accuracy

Total 0.0b remaining (80.7%)

Threshold costs 0.0b (80.7%)

Counts

27 → 1

Compiler

Compiled 980 to 719 computations (26.6% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	8	7
2	8	7

end0.0ms (0%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

sample583.0ms (36.5%)

Algorithm

1×

intervals

Results

291.0ms	7870×	body	128	valid
10.0ms	81×	body	1024	valid
5.0ms	94×	body	128	invalid
3.0ms	34×	body	512	valid
1.0ms	15×	body	256	valid

Compiler

Compiled 66 to 46 computations (30.3% saved)

Details

analyze120.0ms (7.5%)

sample19.0ms (1.2%)

simplify8.0ms (0.5%)

prune4.0ms (0.3%)

localize3.0ms (0.2%)

series4.0ms (0.3%)

rewrite5.0ms (0.3%)

simplify71.0ms (4.5%)

prune26.0ms (1.6%)

localize9.0ms (0.6%)

series31.0ms (2%)

rewrite12.0ms (0.7%)

simplify68.0ms (4.3%)

prune48.0ms (3%)

localize9.0ms (0.6%)

series22.0ms (1.4%)

rewrite31.0ms (1.9%)

simplify130.0ms (8.1%)

prune116.0ms (7.3%)

localize6.0ms (0.4%)

series30.0ms (1.9%)

rewrite16.0ms (1%)

simplify80.0ms (5%)

prune65.0ms (4.1%)

regimes77.0ms (4.8%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample583.0ms (36.5%)

Profiling