Details

analyze66.0ms (3%)

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)

sample737.0ms (33.1%)

Results

701.0ms

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

0.4b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.4b	(/.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
✓	0.4b	(/.f64 (*.f64 x 100) (+.f64 x y))

series21.0ms (0.9%)

Counts

1 → 24

Calls

1 calls:

21.0ms

(/.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:

4.0ms

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

simplify96.0ms (4.3%)

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

prune37.0ms (1.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	49	5	54
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	49	6	55

Error

Counts

55 → 6

Alt Table

Status	Error	Program
	9.4b	(.f64 (sqrt.f64 (/.f64 (.f64 x 100) (+.f64 x y))) (sqrt.f64 (/.f64 (*.f64 x 100) (+.f64 x y))))
✓	0.4b	(/.f64 (*.f64 x 100) (+.f64 x y))
	1.5b	(/.f64 (/.f64 (.f64 x 100) (.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y)))) (cbrt.f64 (+.f64 x y)))
▶	0.2b	(/.f64 x (/.f64 (+.f64 x y) 100))
	0.6b	(.f64 (.f64 x 100) (/.f64 1 (+.f64 x y)))
	0.2b	(*.f64 x (/.f64 100 (+.f64 x y)))

Compiler

Compiled 906 to 468 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 (0.9%)

Counts

2 → 48

Calls

2 calls:

16.0ms	(/.f64 x (/.f64 (+.f64 x y) 100))
4.0ms	(/.f64 (+.f64 x y) 100)

rewrite78.0ms (3.5%)

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)

simplify177.0ms (8%)

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

prune125.0ms (5.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	192	2	194
Fresh	3	1	4
Picked	1	0	1
Done	0	1	1
Total	196	4	200

Error

Counts

200 → 4

Alt Table

Status	Error	Program
✓	0.4b	(/.f64 (*.f64 x 100) (+.f64 x y))
	0.2b	(/.f64 x (/.f64 (-.f64 (neg.f64 x) y) -100))
▶	0.1b	(*.f64 10 (/.f64 x (/.f64 (+.f64 x y) 10)))
	0.2b	(*.f64 x (/.f64 100 (+.f64 x y)))

Compiler

Compiled 3150 to 1504 computations (52.3% saved)

localize5.0ms (0.2%)

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)))

series26.0ms (1.2%)

Counts

3 → 72

Calls

3 calls:

12.0ms	(/.f64 x (/.f64 (+.f64 x y) 10))
11.0ms	(*.f64 10 (/.f64 x (/.f64 (+.f64 x y) 10)))
3.0ms	(/.f64 (+.f64 x y) 10)

rewrite38.0ms (1.7%)

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:

12.0ms	(*.f64 10 (/.f64 x (/.f64 (+.f64 x y) 10)))
5.0ms	(/.f64 x (/.f64 (+.f64 x y) 10))
5.0ms	(/.f64 (+.f64 x y) 10)

simplify170.0ms (7.6%)

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

prune165.0ms (7.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	278	0	278
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	278	4	282

Error

Counts

282 → 4

Alt Table

Status	Error	Program
✓	0.4b	(/.f64 (*.f64 x 100) (+.f64 x y))
▶	0.2b	(/.f64 x (/.f64 (-.f64 (neg.f64 x) y) -100))
✓	0.1b	(*.f64 10 (/.f64 x (/.f64 (+.f64 x y) 10)))
	0.2b	(*.f64 x (/.f64 100 (+.f64 x y)))

Compiler

Compiled 5143 to 2746 computations (46.6% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series18.0ms (0.8%)

Counts

2 → 48

Calls

2 calls:

14.0ms	(/.f64 x (/.f64 (-.f64 (neg.f64 x) y) -100))
4.0ms	(/.f64 (-.f64 (neg.f64 x) y) -100)

rewrite30.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

156×	`times-frac_binary64`
140×	`*-un-lft-identity_binary64`
108×	`add-sqr-sqrt_binary64`
76×	`add-cube-cbrt_binary64`
32×	`distribute-lft-out--_binary64`

Counts

2 → 152

Calls

2 calls:

9.0ms	(/.f64 (-.f64 (neg.f64 x) y) -100)
7.0ms	(/.f64 x (/.f64 (-.f64 (neg.f64 x) y) -100))

simplify138.0ms (6.2%)

Algorithm

1×	egg-herbie

Rules

909×	`times-frac_binary64`
677×	`fma-def_binary64`
550×	`div-sub_binary64`
398×	`associate-/l/_binary64`
321×	`fma-neg_binary64`

Counts

200 → 184

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	241	4124
1	574	3954
2	1832	3889
3	4139	3880
4	5839	3880

prune76.0ms (3.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	183	1	184
Fresh	1	0	1
Picked	0	1	1
Done	0	2	2
Total	184	4	188

Error

Counts

188 → 4

Alt Table

Status	Error	Program
✓	0.4b	(/.f64 (*.f64 x 100) (+.f64 x y))
✓	0.2b	(/.f64 x (/.f64 (-.f64 (neg.f64 x) y) -100))
✓	0.1b	(*.f64 10 (/.f64 x (/.f64 (+.f64 x y) 10)))
	0.2b	(*.f64 (/.f64 x (-.f64 (neg.f64 x) y)) -100)

Compiler

Compiled 3356 to 1448 computations (56.9% saved)

regimes115.0ms (5.2%)

Accuracy

Total 0.2b remaining (95.5%)

Threshold costs 0.2b (95.5%)

Counts

41 → 1

Compiler

Compiled 1497 to 1020 computations (31.9% 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	8	13
1	10	13
2	10	13

end61.0ms (2.7%)

Compiler: Compiled 62 to 44 computations (29% saved)

Details

analyze66.0ms (3%)

sample737.0ms (33.1%)

simplify6.0ms (0.3%)

prune1.0ms (0.1%)

localize4.0ms (0.2%)

series21.0ms (0.9%)

rewrite6.0ms (0.3%)

simplify96.0ms (4.3%)

prune37.0ms (1.7%)

localize4.0ms (0.2%)

series20.0ms (0.9%)

rewrite78.0ms (3.5%)

simplify177.0ms (8%)

prune125.0ms (5.6%)

localize5.0ms (0.2%)

series26.0ms (1.2%)

rewrite38.0ms (1.7%)

simplify170.0ms (7.6%)

prune165.0ms (7.4%)

localize5.0ms (0.2%)

series18.0ms (0.8%)

rewrite30.0ms (1.3%)

simplify138.0ms (6.2%)

prune76.0ms (3.4%)

regimes115.0ms (5.2%)

simplify2.0ms (0.1%)

end61.0ms (2.7%)

Profiling