Details

analyze39.0ms (1.9%)

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
25%	74.9%	0.1%	3
37.5%	62.4%	0.1%	4
56.2%	43.7%	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)

sample714.0ms (35.3%)

Infinites

0% of outputs are infinite.

Results

668.0ms

8256×

body

128

valid

Compiler

Compiled 29 to 20 computations (31% saved)

simplify7.0ms (0.4%)

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

prune2.0ms (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

0.2b

Counts

2 → 1

Alt Table

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

Compiler

Compiled 27 to 18 computations (33.3% saved)

localize7.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series11.0ms (0.5%)

Counts

1 → 24

Calls

1 calls:

11.0ms

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

rewrite6.0ms (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:

5.0ms

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

simplify102.0ms (5.1%)

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

prune46.0ms (2.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	49	5	54
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	50	5	55

Error

0.0b

Counts

55 → 5

Alt Table

Status	Error	Program
▶	0.1b	(/.f64 x (/.f64 (+.f64 x y) 100))
	1.2b	(.f64 (/.f64 x (.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y)))) (/.f64 100 (cbrt.f64 (+.f64 x y))))
	30.8b	(.f64 100 (+.f64 (/.f64 x y) (-.f64 (pow.f64 (/.f64 x y) 3) (.f64 (/.f64 x y) (/.f64 x y)))))
	0.2b	(*.f64 x (/.f64 100 (+.f64 x y)))
	0.2b	(.f64 (.f64 x 100) (/.f64 1 (+.f64 x y)))

Compiler

Compiled 901 to 458 computations (49.2% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 x y) 100)
✓	0.1b	(/.f64 x (/.f64 (+.f64 x y) 100))

series14.0ms (0.7%)

Counts

2 → 48

Calls

2 calls:

11.0ms	(/.f64 x (/.f64 (+.f64 x y) 100))
3.0ms	(/.f64 (+.f64 x y) 100)

rewrite19.0ms (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:

6.0ms	(/.f64 x (/.f64 (+.f64 x y) 100))
4.0ms	(/.f64 (+.f64 x y) 100)

simplify130.0ms (6.4%)

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

prune109.0ms (5.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	192	2	194
Fresh	2	2	4
Picked	0	1	1
Done	0	0	0
Total	194	5	199

Error

Counts

199 → 5

Alt Table

Status	Error	Program
	0.2b	(.f64 (.f64 x 100) (/.f64 1 (+.f64 x y)))
	0.2b	(*.f64 10 (/.f64 x (/.f64 (+.f64 x y) 10)))
	0.2b	(*.f64 x (/.f64 100 (+.f64 x y)))
✓	0.1b	(/.f64 x (/.f64 (+.f64 x y) 100))
▶	0.1b	(*.f64 (/.f64 x (+.f64 x y)) 100)

Compiler

Compiled 3170 to 1518 computations (52.1% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 x (+.f64 x y))
✓	0.1b	(*.f64 (/.f64 x (+.f64 x y)) 100)

series24.0ms (1.2%)

Counts

2 → 48

Calls

2 calls:

12.0ms	(/.f64 x (+.f64 x y))
11.0ms	(*.f64 (/.f64 x (+.f64 x y)) 100)

rewrite14.0ms (0.7%)

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-l_binary64`

Counts

2 → 74

Calls

2 calls:

7.0ms	(*.f64 (/.f64 x (+.f64 x y)) 100)
3.0ms	(/.f64 x (+.f64 x y))

simplify103.0ms (5.1%)

Algorithm

1×	egg-herbie

Rules

848×	`fma-neg_binary64`
334×	`associate-/l*_binary64`
300×	`times-frac_binary64`
268×	`div-sub_binary64`
251×	`associate-l_binary64`

Counts

122 → 126

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	148	1976
1	381	1874
2	1047	1760
3	3762	1742
4	4690	1742
5	5209	1742

prune89.0ms (4.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	126	0	126
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	126	5	131

Error

Counts

131 → 5

Alt Table

Status	Error	Program
	0.2b	(.f64 (.f64 x 100) (/.f64 1 (+.f64 x y)))
▶	0.2b	(*.f64 10 (/.f64 x (/.f64 (+.f64 x y) 10)))
	0.2b	(*.f64 x (/.f64 100 (+.f64 x y)))
✓	0.1b	(/.f64 x (/.f64 (+.f64 x y) 100))
✓	0.1b	(*.f64 (/.f64 x (+.f64 x y)) 100)

Compiler

Compiled 1964 to 790 computations (59.8% saved)

localize5.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 x y) 10)
✓	0.1b	(/.f64 x (/.f64 (+.f64 x y) 10))
✓	0.1b	(*.f64 10 (/.f64 x (/.f64 (+.f64 x y) 10)))

series28.0ms (1.4%)

Counts

3 → 72

Calls

3 calls:

13.0ms	(*.f64 10 (/.f64 x (/.f64 (+.f64 x y) 10)))
11.0ms	(/.f64 x (/.f64 (+.f64 x y) 10))
4.0ms	(/.f64 (+.f64 x y) 10)

rewrite41.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

195×	`times-frac_binary64`
153×	`*-un-lft-identity_binary64`
112×	`add-sqr-sqrt_binary64`
103×	`add-cube-cbrt_binary64`
53×	`associate-r_binary64`

Counts

3 → 196

Calls

3 calls:

15.0ms	(*.f64 10 (/.f64 x (/.f64 (+.f64 x y) 10)))
6.0ms	(/.f64 x (/.f64 (+.f64 x y) 10))
6.0ms	(/.f64 (+.f64 x y) 10)

simplify142.0ms (7%)

Algorithm

1×	egg-herbie

Rules

804×	`times-frac_binary64`
616×	`associate-/r/_binary64`
485×	`associate-/r*_binary64`
398×	`fma-neg_binary64`
306×	`fma-def_binary64`

Counts

268 → 278

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	283	4873
1	722	4582
2	2304	4438
3	4781	4438
4	5023	4438

prune163.0ms (8.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	278	0	278
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	278	5	283

Error

Counts

283 → 5

Alt Table

Status	Error	Program
	0.2b	(.f64 (.f64 x 100) (/.f64 1 (+.f64 x y)))
✓	0.2b	(*.f64 10 (/.f64 x (/.f64 (+.f64 x y) 10)))
	0.2b	(*.f64 x (/.f64 100 (+.f64 x y)))
✓	0.1b	(/.f64 x (/.f64 (+.f64 x y) 100))
✓	0.1b	(*.f64 (/.f64 x (+.f64 x y)) 100)

Compiler

Compiled 5134 to 2740 computations (46.6% saved)

regimes137.0ms (6.8%)

Accuracy

Total 0.2b remaining (96.8%)

Threshold costs 0.2b (96.8%)

Counts

46 → 1

Compiler

Compiled 1856 to 1214 computations (34.6% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	8	10
2	8	10

end61.0ms (3%)

Compiler: Compiled 67 to 46 computations (31.3% saved)

Details

analyze39.0ms (1.9%)

sample714.0ms (35.3%)

simplify7.0ms (0.4%)

prune2.0ms (0.1%)

localize7.0ms (0.3%)

series11.0ms (0.5%)

rewrite6.0ms (0.3%)

simplify102.0ms (5.1%)

prune46.0ms (2.3%)

localize4.0ms (0.2%)

series14.0ms (0.7%)

rewrite19.0ms (0.9%)

simplify130.0ms (6.4%)

prune109.0ms (5.4%)

localize4.0ms (0.2%)

series24.0ms (1.2%)

rewrite14.0ms (0.7%)

simplify103.0ms (5.1%)

prune89.0ms (4.4%)

localize5.0ms (0.3%)

series28.0ms (1.4%)

rewrite41.0ms (2%)

simplify142.0ms (7%)

prune163.0ms (8.1%)

regimes137.0ms (6.8%)

simplify3.0ms (0.1%)

end61.0ms (3%)

Profiling