Details

analyze58.0ms (3.2%)

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
18.7%	81.2%	0.1%	5
65.6%	34.3%	0.1%	6
76.5%	23.4%	0.1%	7
82%	18%	0.1%	8
87.8%	12.1%	0.1%	9
90.7%	9.2%	0.1%	10
93.8%	6.1%	0.1%	11
95.3%	4.6%	0.1%	12
96.8%	3.1%	0.1%	13
97.6%	2.3%	0.1%	14

Compiler

Compiled 10 to 7 computations (30% saved)

sample726.0ms (40.3%)

Results

698.0ms

8256×

body

128

valid

Compiler

Compiled 29 to 20 computations (31% saved)

simplify6.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
2×	`associate-/r/_binary64`
1×	`+-commutative_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	11	10
2	15	10
3	18	10
4	19	10
5	19	10

prune1.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

0.7b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.7b	(/.f64 (*.f64 x 100) (+.f64 x y))

Compiler

Compiled 27 to 18 computations (33.3% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.6b	(/.f64 (*.f64 x 100) (+.f64 x y))

series14.0ms (0.8%)

Counts

1 → 24

Calls

1 calls:

14.0ms

(/.f64 (*.f64 x 100) (+.f64 x y))

rewrite5.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`*-un-lft-identity_binary64`
6×	`add-cbrt-cube_binary64`
6×	`add-exp-log_binary64`
4×	`associate-/r*_binary64`
4×	`times-frac_binary64`

Counts

1 → 27

Calls

1 calls:

4.0ms

(/.f64 (*.f64 x 100) (+.f64 x y))

simplify93.0ms (5.2%)

Algorithm

1×	egg-herbie

Rules

639×	`fma-neg_binary64`
473×	`associate-/l*_binary64`
448×	`times-frac_binary64`
210×	`associate-/r*_binary64`
192×	`associate-*l/_binary64`

Counts

51 → 54

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	92	927
1	263	846
2	891	789
3	3804	780
4	4821	780
5	4965	780
6	4999	780
7	4937	780

prune34.0ms (1.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	50	4	54
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	50	5	55

Error

Counts

55 → 5

Alt Table

Status	Error	Program
	0.2b	(*.f64 x (/.f64 100 (+.f64 x y)))
	14.9b	(.f64 (sqrt.f64 (/.f64 (.f64 x 100) (+.f64 x y))) (sqrt.f64 (/.f64 (*.f64 x 100) (+.f64 x y))))
✓	0.7b	(/.f64 (*.f64 x 100) (+.f64 x y))
	32.2b	(*.f64 100 (/.f64 x y))
▶	0.2b	(/.f64 x (/.f64 (+.f64 x y) 100))

Compiler

Compiled 858 to 444 computations (48.3% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 x y) 100)
✓	0.2b	(/.f64 x (/.f64 (+.f64 x y) 100))

series20.0ms (1.1%)

Counts

2 → 48

Calls

2 calls:

16.0ms	(/.f64 x (/.f64 (+.f64 x y) 100))
3.0ms	(/.f64 (+.f64 x y) 100)

rewrite16.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

108×	`times-frac_binary64`
92×	`*-un-lft-identity_binary64`
60×	`add-sqr-sqrt_binary64`
60×	`add-cube-cbrt_binary64`
19×	`associate-/r*_binary64`

Counts

2 → 119

Calls

2 calls:

5.0ms	(/.f64 x (/.f64 (+.f64 x y) 100))
3.0ms	(/.f64 (+.f64 x y) 100)

simplify96.0ms (5.3%)

Algorithm

1×	egg-herbie

Rules

427×	`associate-/l*_binary64`
425×	`times-frac_binary64`
372×	`associate-/r/_binary64`
332×	`associate-*l/_binary64`
322×	`fma-neg_binary64`

Counts

167 → 194

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	207	2890
1	479	2755
2	1412	2696
3	4362	2687
4	5008	2687

prune93.0ms (5.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	193	1	194
Fresh	2	1	3
Picked	0	1	1
Done	0	1	1
Total	195	4	199

Error

Counts

199 → 4

Alt Table

Status	Error	Program
	0.2b	(*.f64 x (/.f64 100 (+.f64 x y)))
✓	0.7b	(/.f64 (*.f64 x 100) (+.f64 x y))
▶	0.2b	(*.f64 (/.f64 x (+.f64 x y)) 100)
✓	0.2b	(/.f64 x (/.f64 (+.f64 x y) 100))

Compiler

Compiled 3135 to 1492 computations (52.4% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (/.f64 x (+.f64 x y)) 100)

series11.0ms (0.6%)

Counts

1 → 24

Calls

1 calls:

11.0ms

(*.f64 (/.f64 x (+.f64 x y)) 100)

rewrite14.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`associate-l_binary64`
16×	`*-un-lft-identity_binary64`
15×	`add-sqr-sqrt_binary64`
13×	`times-frac_binary64`
10×	`add-cube-cbrt_binary64`

Counts

1 → 39

Calls

1 calls:

12.0ms

(*.f64 (/.f64 x (+.f64 x y)) 100)

simplify72.0ms (4%)

Algorithm

1×	egg-herbie

Rules

692×	`cancel-sign-sub-inv_binary64`
665×	`fma-neg_binary64`
281×	`associate-/l*_binary64`
253×	`times-frac_binary64`
241×	`associate-l_binary64`

Counts

63 → 76

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	113	1062
1	302	990
2	839	933
3	3129	924
4	4901	924
5	4967	924

prune98.0ms (5.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	76	4	80

Error

Counts

80 → 4

Alt Table

Status	Error	Program
▶	0.2b	(*.f64 x (/.f64 100 (+.f64 x y)))
✓	0.7b	(/.f64 (*.f64 x 100) (+.f64 x y))
✓	0.2b	(*.f64 (/.f64 x (+.f64 x y)) 100)
✓	0.2b	(/.f64 x (/.f64 (+.f64 x y) 100))

Compiler

Compiled 1201 to 503 computations (58.1% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 100 (+.f64 x y))
✓	0.2b	(*.f64 x (/.f64 100 (+.f64 x y)))

series123.0ms (6.8%)

Counts

2 → 48

Calls

2 calls:

113.0ms	(*.f64 x (/.f64 100 (+.f64 x y)))
10.0ms	(/.f64 100 (+.f64 x y))

rewrite16.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`*-un-lft-identity_binary64`
25×	`times-frac_binary64`
25×	`add-sqr-sqrt_binary64`
20×	`add-cube-cbrt_binary64`
18×	`associate-r_binary64`

Counts

2 → 74

Calls

2 calls:

9.0ms	(*.f64 x (/.f64 100 (+.f64 x y)))
3.0ms	(/.f64 100 (+.f64 x y))

simplify110.0ms (6.1%)

Algorithm

1×	egg-herbie

Rules

600×	`fma-neg_binary64`
515×	`times-frac_binary64`
425×	`associate-/l*_binary64`
355×	`associate-l_binary64`
324×	`fma-def_binary64`

Counts

122 → 113

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	161	2081
1	417	1946
2	1353	1856
3	4394	1847
4	4984	1847
5	4966	1847

prune58.0ms (3.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	113	4	117

Error

Counts

117 → 4

Alt Table

Status	Error	Program
✓	0.2b	(*.f64 x (/.f64 100 (+.f64 x y)))
✓	0.7b	(/.f64 (*.f64 x 100) (+.f64 x y))
✓	0.2b	(*.f64 (/.f64 x (+.f64 x y)) 100)
✓	0.2b	(/.f64 x (/.f64 (+.f64 x y) 100))

Compiler

Compiled 1760 to 929 computations (47.2% saved)

regimes71.0ms (3.9%)

Accuracy

Total 0.2b remaining (94.4%)

Threshold costs 0.2b (94.4%)

Counts

25 → 1

Compiler

Compiled 973 to 640 computations (34.2% 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	7	10
1	9	10
2	9	10

end46.0ms (2.5%)

Compiler: Compiled 54 to 36 computations (33.3% saved)

Details

analyze58.0ms (3.2%)

sample726.0ms (40.3%)

simplify6.0ms (0.3%)

prune1.0ms (0.1%)

localize4.0ms (0.2%)

series14.0ms (0.8%)

rewrite5.0ms (0.3%)

simplify93.0ms (5.2%)

prune34.0ms (1.9%)

localize4.0ms (0.2%)

series20.0ms (1.1%)

rewrite16.0ms (0.9%)

simplify96.0ms (5.3%)

prune93.0ms (5.2%)

localize4.0ms (0.2%)

series11.0ms (0.6%)

rewrite14.0ms (0.8%)

simplify72.0ms (4%)

prune98.0ms (5.4%)

localize4.0ms (0.2%)

series123.0ms (6.8%)

rewrite16.0ms (0.9%)

simplify110.0ms (6.1%)

prune58.0ms (3.2%)

regimes71.0ms (3.9%)

simplify2.0ms (0.1%)

end46.0ms (2.5%)

Profiling