Details

analyze57.0ms (3.4%)

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)

sample67.0ms (3.9%)

Algorithm

1×

intervals

Results

8.0ms

256×

body

128

valid

Compiler

Compiled 21 to 15 computations (28.6% saved)

simplify8.0ms (0.5%)

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

0.7b

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
✓	0.7b	(/.f64 (*.f64 x 100) (+.f64 x y))

series20.0ms (1.2%)

Counts

1 → 24

Calls

1 calls:

20.0ms

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

rewrite6.0ms (0.4%)

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))

simplify98.0ms (5.8%)

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

prune39.0ms (2.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	51	3	54
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	51	4	55

Error

Counts

55 → 4

Alt Table

Status	Error	Program
✓	0.7b	(/.f64 (*.f64 x 100) (+.f64 x y))
	33.0b	(fma.f64 (/.f64 y x) -100 100)
▶	0.2b	(/.f64 x (/.f64 (+.f64 x y) 100))
	31.7b	(*.f64 100 (-.f64 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 3)) (fma.f64 (/.f64 x y) (/.f64 x y) (pow.f64 (/.f64 x y) 4))))

Compiler

Compiled 856 to 434 computations (49.3% 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))

series17.0ms (1%)

Counts

2 → 48

Calls

2 calls:

13.0ms	(/.f64 x (/.f64 (+.f64 x y) 100))
4.0ms	(/.f64 (+.f64 x y) 100)

rewrite51.0ms (3%)

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:

37.0ms	(/.f64 (+.f64 x y) 100)
6.0ms	(/.f64 x (/.f64 (+.f64 x y) 100))

simplify115.0ms (6.8%)

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

prune107.0ms (6.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	192	2	194
Fresh	2	0	2
Picked	0	1	1
Done	0	1	1
Total	194	4	198

Error

Counts

198 → 4

Alt Table

Status	Error	Program
✓	0.7b	(/.f64 (*.f64 x 100) (+.f64 x y))
✓	0.2b	(/.f64 x (/.f64 (+.f64 x y) 100))
▶	0.1b	(*.f64 (/.f64 x (+.f64 x y)) 100)
	0.4b	(/.f64 x (*.f64 1/10 (/.f64 (+.f64 x y) 10)))

Compiler

Compiled 3139 to 1496 computations (52.3% saved)

localize5.0ms (0.3%)

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)

series22.0ms (1.3%)

Counts

2 → 48

Calls

2 calls:

12.0ms	(*.f64 (/.f64 x (+.f64 x y)) 100)
10.0ms	(/.f64 x (+.f64 x y))

rewrite16.0ms (1%)

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

simplify101.0ms (6%)

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

prune59.0ms (3.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	126	0	126
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	126	4	130

Error

Counts

130 → 4

Alt Table

Status	Error	Program
✓	0.7b	(/.f64 (*.f64 x 100) (+.f64 x y))
✓	0.2b	(/.f64 x (/.f64 (+.f64 x y) 100))
✓	0.1b	(*.f64 (/.f64 x (+.f64 x y)) 100)
▶	0.4b	(/.f64 x (*.f64 1/10 (/.f64 (+.f64 x y) 10)))

Compiler

Compiled 1933 to 768 computations (60.3% saved)

localize6.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 x y) 10)
✓	0.2b	(/.f64 x (*.f64 1/10 (/.f64 (+.f64 x y) 10)))
✓	0.4b	(*.f64 1/10 (/.f64 (+.f64 x y) 10))

series20.0ms (1.2%)

Counts

3 → 72

Calls

3 calls:

11.0ms	(/.f64 x (*.f64 1/10 (/.f64 (+.f64 x y) 10)))
5.0ms	(*.f64 1/10 (/.f64 (+.f64 x y) 10))
4.0ms	(/.f64 (+.f64 x y) 10)

rewrite22.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

37×	`*-un-lft-identity_binary64`
28×	`times-frac_binary64`
28×	`add-sqr-sqrt_binary64`
23×	`add-cube-cbrt_binary64`
19×	`add-cbrt-cube_binary64`

Counts

3 → 98

Calls

3 calls:

8.0ms	(*.f64 1/10 (/.f64 (+.f64 x y) 10))
6.0ms	(/.f64 x (*.f64 1/10 (/.f64 (+.f64 x y) 10)))
4.0ms	(/.f64 (+.f64 x y) 10)

simplify128.0ms (7.6%)

Algorithm

1×	egg-herbie

Rules

642×	`times-frac_binary64`
628×	`fma-def_binary64`
543×	`associate-/l*_binary64`
389×	`associate-/r*_binary64`
296×	`associate-/r/_binary64`

Counts

170 → 178

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	177	2318
1	436	2005
2	1324	1945
3	4678	1945
4	5174	1945

prune88.0ms (5.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	178	0	178
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	178	4	182

Error

Counts

182 → 4

Alt Table

Status	Error	Program
✓	0.7b	(/.f64 (*.f64 x 100) (+.f64 x y))
✓	0.2b	(/.f64 x (/.f64 (+.f64 x y) 100))
✓	0.1b	(*.f64 (/.f64 x (+.f64 x y)) 100)
✓	0.4b	(/.f64 x (*.f64 1/10 (/.f64 (+.f64 x y) 10)))

Compiler

Compiled 2758 to 1575 computations (42.9% saved)

regimes133.0ms (7.9%)

Accuracy

Total 0.2b remaining (92.2%)

Threshold costs 0.2b (92.2%)

Counts

44 → 1

Compiler

Compiled 1877 to 1195 computations (36.3% saved)

simplify3.0ms (0.2%)

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

end0.0ms (0%)

Compiler: Compiled 9 to 6 computations (33.3% saved)

sample489.0ms (28.9%)

Algorithm

1×

intervals

Results

239.0ms

8000×

body

128

valid

Compiler

Compiled 59 to 41 computations (30.5% saved)

Details

analyze57.0ms (3.4%)

sample67.0ms (3.9%)

simplify8.0ms (0.5%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

series20.0ms (1.2%)

rewrite6.0ms (0.4%)

simplify98.0ms (5.8%)

prune39.0ms (2.3%)

localize4.0ms (0.2%)

series17.0ms (1%)

rewrite51.0ms (3%)

simplify115.0ms (6.8%)

prune107.0ms (6.3%)

localize5.0ms (0.3%)

series22.0ms (1.3%)

rewrite16.0ms (1%)

simplify101.0ms (6%)

prune59.0ms (3.5%)

localize6.0ms (0.3%)

series20.0ms (1.2%)

rewrite22.0ms (1.3%)

simplify128.0ms (7.6%)

prune88.0ms (5.2%)

regimes133.0ms (7.9%)

simplify3.0ms (0.2%)

end0.0ms (0%)

sample489.0ms (28.9%)

Profiling