Details

analyze492.0ms (21.8%)

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
21.8%	78%	0.1%	7
26.5%	73.3%	0.1%	8
36.7%	63.2%	0.1%	9
41.3%	49.9%	8.7%	10
47.2%	43.3%	9.5%	11
54.4%	35.5%	10.1%	12
57.9%	27.4%	14.7%	13
61.7%	23.2%	15.1%	14

Compiler

Compiled 11 to 8 computations (27.3% saved)

sample23.0ms (1%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
0.0ms	17×	body	128	invalid

Compiler

Compiled 24 to 18 computations (25% saved)

simplify13.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

33×	`distribute-rgt-in_binary64`
26×	`associate-+l+_binary64`
22×	`associate-+r+_binary64`
21×	`distribute-lft-in_binary64`
16×	`+-commutative_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	19	10
2	43	10
3	72	10
4	116	10
5	118	10
6	110	10
7	104	10

prune1.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

1 → 1

Alt Table

Status	Error	Program
▶	0.0b	(*.f64 (+.f64 x y) (+.f64 z 1))

Compiler

Compiled 20 to 14 computations (30% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 (+.f64 x y) (+.f64 z 1))

rewrite24.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

7×	`*-un-lft-identity_binary64`
6×	`flip-+_binary64`
6×	`flip3-+_binary64`
5×	`add-sqr-sqrt_binary64`
4×	`associate-r_binary64`

Counts

1 → 30

Calls

1 calls:

6.0ms

(*.f64 (+.f64 x y) (+.f64 z 1))

Compiler

Compiled 459 to 237 computations (48.4% saved)

series25.0ms (1.1%)

Error

0.0b

Counts

1 → 18

Calls

1 calls:

20.0ms

(*.f64 (+.f64 x y) (+.f64 z 1))

Compiler

Compiled 359 to 213 computations (40.7% saved)

simplify65.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

759×	`distribute-rgt-in_binary64`
724×	`distribute-lft-in_binary64`
258×	`unsub-neg_binary64`
250×	`cancel-sign-sub-inv_binary64`
230×	`sub-neg_binary64`

Counts

48 → 41

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	81	700
1	260	622
2	844	622
3	2943	622
4	3623	622
5	5004	622

prune19.0ms (0.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	38	3	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	38	4	42

Error

Counts

42 → 4

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 (+.f64 x y) (+.f64 z 1))
▶	0.5b	(.f64 (.f64 (+.f64 y x) (*.f64 (cbrt.f64 (+.f64 1 z)) (cbrt.f64 (+.f64 1 z)))) (cbrt.f64 (+.f64 z 1)))
	31.8b	(/.f64 (.f64 (+.f64 1 z) (-.f64 (.f64 x x) (*.f64 y y))) (-.f64 x y))
	29.2b	(+.f64 x (*.f64 z x))

Compiler

Compiled 486 to 267 computations (45.1% saved)

localize10.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (cbrt.f64 (+.f64 1 z)) (cbrt.f64 (+.f64 1 z)))
0.2b	(cbrt.f64 (+.f64 z 1))
0.2b	(cbrt.f64 (+.f64 1 z))
0.2b	(cbrt.f64 (+.f64 1 z))

rewrite100.0ms (4.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

36×	`cbrt-prod_binary64`
35×	`*-un-lft-identity_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`add-cube-cbrt_binary64`

Counts

4 → 95

Calls

4 calls:

8.0ms	(*.f64 (cbrt.f64 (+.f64 1 z)) (cbrt.f64 (+.f64 1 z)))
5.0ms	(cbrt.f64 (+.f64 1 z))
2.0ms	(cbrt.f64 (+.f64 1 z))
2.0ms	(cbrt.f64 (+.f64 z 1))

Compiler

Compiled 2158 to 1548 computations (28.3% saved)

series73.0ms (3.3%)

Error

Counts

4 → 39

Calls

4 calls:

15.0ms	(*.f64 (cbrt.f64 (+.f64 1 z)) (cbrt.f64 (+.f64 1 z)))
12.0ms	(cbrt.f64 (+.f64 1 z))
11.0ms	(cbrt.f64 (+.f64 1 z))
11.0ms	(cbrt.f64 (+.f64 z 1))

Compiler

Compiled 2168 to 1693 computations (21.9% saved)

simplify124.0ms (5.5%)

Algorithm

1×	egg-herbie

Rules

517×	`times-frac_binary64`
453×	`*-commutative_binary64`
274×	`associate-l_binary64`
265×	`distribute-rgt-neg-in_binary64`
255×	`sub-neg_binary64`

Counts

134 → 110

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	156	2027
1	313	2027
2	712	1930
3	1771	1898
4	3314	1690
5	4366	1690
6	5082	1690

prune54.0ms (2.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	110	4	114

Error

Counts

114 → 4

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 (+.f64 x y) (+.f64 z 1))
✓	0.5b	(.f64 (.f64 (+.f64 y x) (*.f64 (cbrt.f64 (+.f64 1 z)) (cbrt.f64 (+.f64 1 z)))) (cbrt.f64 (+.f64 z 1)))
	31.8b	(/.f64 (.f64 (+.f64 1 z) (-.f64 (.f64 x x) (*.f64 y y))) (-.f64 x y))
▶	29.2b	(+.f64 x (*.f64 z x))

Compiler

Compiled 1739 to 1178 computations (32.3% saved)

localize3.0ms (0.1%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Error

Counts

0 → 0

Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0%)

Error: 0b
Counts: 0 → 0
Compiler: Compiled 0 to 0 computations (0% saved)

simplify8.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
1	0	0

prune3.0ms (0.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	2	2
Total	4	4

Error

Counts

4 → 4

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 (+.f64 x y) (+.f64 z 1))
✓	0.5b	(.f64 (.f64 (+.f64 y x) (*.f64 (cbrt.f64 (+.f64 1 z)) (cbrt.f64 (+.f64 1 z)))) (cbrt.f64 (+.f64 z 1)))
▶	31.8b	(/.f64 (.f64 (+.f64 1 z) (-.f64 (.f64 x x) (*.f64 y y))) (-.f64 x y))
✓	29.2b	(+.f64 x (*.f64 z x))

Compiler

Compiled 75 to 50 computations (33.3% saved)

localize13.0ms (0.6%)

Local error

Found 3 expressions with local error:

1.5b	(.f64 (+.f64 1 z) (-.f64 (.f64 x x) (*.f64 y y)))
1.7b	(-.f64 (.f64 x x) (.f64 y y))
28.2b	(/.f64 (.f64 (+.f64 1 z) (-.f64 (.f64 x x) (*.f64 y y))) (-.f64 x y))

rewrite63.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

13×	`*-un-lft-identity_binary64`
13×	`add-sqr-sqrt_binary64`
10×	`add-cbrt-cube_binary64`
10×	`add-exp-log_binary64`
8×	`flip--_binary64`

Counts

3 → 80

Calls

3 calls:

11.0ms	(.f64 (+.f64 1 z) (-.f64 (.f64 x x) (*.f64 y y)))
9.0ms	(/.f64 (.f64 (+.f64 1 z) (-.f64 (.f64 x x) (*.f64 y y))) (-.f64 x y))
3.0ms	(-.f64 (.f64 x x) (.f64 y y))

Compiler

Compiled 2076 to 672 computations (67.6% saved)

series106.0ms (4.7%)

Error

Counts

3 → 48

Calls

3 calls:

43.0ms	(/.f64 (.f64 (+.f64 1 z) (-.f64 (.f64 x x) (*.f64 y y))) (-.f64 x y))
40.0ms	(.f64 (+.f64 1 z) (-.f64 (.f64 x x) (*.f64 y y)))
16.0ms	(-.f64 (.f64 x x) (.f64 y y))

Compiler

Compiled 1584 to 1039 computations (34.4% saved)

simplify103.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

382×	`associate-/r*_binary64`
375×	`associate-*l/_binary64`
298×	`associate-/l/_binary64`
280×	`associate-/r/_binary64`
274×	`associate-*r/_binary64`

Counts

128 → 112

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	171	2837
1	486	2381
2	1937	2140
3	4678	2140
4	5011	2140

prune34.0ms (1.5%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	112	4	116

Error

Counts

116 → 4

Alt Table

Status	Error	Program
	0.0b	(*.f64 (+.f64 x y) (+.f64 z 1))
	0.5b	(.f64 (.f64 (+.f64 y x) (*.f64 (cbrt.f64 (+.f64 1 z)) (cbrt.f64 (+.f64 1 z)))) (cbrt.f64 (+.f64 z 1)))
	31.8b	(/.f64 (.f64 (+.f64 1 z) (-.f64 (.f64 x x) (*.f64 y y))) (-.f64 x y))
	29.2b	(+.f64 x (*.f64 z x))

Compiler

Compiled 1448 to 591 computations (59.2% saved)

regimes316.0ms (14%)

Accuracy

Total 0.0b remaining (48.9%)

Threshold costs 0.0b (48.9%)

Compiler

Compiled 5702 to 3952 computations (30.7% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	14	16
2	14	16

end6.0ms (0.3%)

Remove: (sort x y)
Compiler: Compiled 42 to 24 computations (42.9% saved)

sample567.0ms (25.2%)

Algorithm

1×

intervals

Results

227.0ms	7997×	body	128	valid
15.0ms	576×	body	128	invalid
0.0ms	2×	body	512	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 85 to 58 computations (31.8% saved)

Details

analyze492.0ms (21.8%)

sample23.0ms (1%)

simplify13.0ms (0.6%)

prune1.0ms (0.1%)

localize5.0ms (0.2%)

rewrite24.0ms (1%)

series25.0ms (1.1%)

simplify65.0ms (2.9%)

prune19.0ms (0.8%)

localize10.0ms (0.5%)

rewrite100.0ms (4.4%)

series73.0ms (3.3%)

simplify124.0ms (5.5%)

prune54.0ms (2.4%)

localize3.0ms (0.1%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify8.0ms (0.3%)

prune3.0ms (0.1%)

localize13.0ms (0.6%)

rewrite63.0ms (2.8%)

series106.0ms (4.7%)

simplify103.0ms (4.6%)

prune34.0ms (1.5%)

regimes316.0ms (14%)

simplify3.0ms (0.1%)

end6.0ms (0.3%)

sample567.0ms (25.2%)

Profiling