Details

analyze432.0ms (8.6%)

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
25%	74.9%	0.1%	5
25%	68.7%	6.3%	6
25%	56.2%	18.8%	7
25%	48.4%	26.6%	8
25%	35.1%	39.9%	9
28.1%	18.3%	53.6%	10
31.6%	12.3%	56.1%	11
33.4%	5.9%	60.8%	12
35.2%	3.8%	61%	13
36.1%	2.9%	61%	14

Compiler

Compiled 34 to 22 computations (35.3% saved)

sample25.0ms (0.5%)

Algorithm

1×

intervals

Results

16.0ms

256×

body

128

valid

Compiler

Compiled 69 to 45 computations (34.8% saved)

simplify63.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

669×	`unsub-neg_binary64`
596×	`cancel-sign-sub-inv_binary64`
373×	`neg-mul-1_binary64` `neg-sub0_binary64`
340×	`+-commutative_binary64`
277×	`sub-neg_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	46
1	61	46
2	152	46
3	438	46
4	1297	46
5	2510	46
6	4609	46
7	5033	46

prune7.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.2b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.2b	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))) 1)

Compiler

Compiled 99 to 63 computations (36.4% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))
0.1b	(.f64 (.f64 a a) (+.f64 1 a))
0.1b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

rewrite231.0ms (4.6%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

18×	`associate-*r/_binary64`
17×	`pow1_binary64` `add-exp-log_binary64`
16×	`add-cbrt-cube_binary64`
14×	`add-sqr-sqrt_binary64`
12×	`*-un-lft-identity_binary64`

Counts

4 → 93

Calls

4 calls:

12.0ms	(.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))
8.0ms	(.f64 (.f64 a a) (+.f64 1 a))
8.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
5.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

Compiler

Compiled 3675 to 2053 computations (44.1% saved)

series173.0ms (3.5%)

Error

0.0b

Counts

4 → 43

Calls

4 calls:

56.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
44.0ms	(.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))
25.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
15.0ms	(.f64 (.f64 a a) (+.f64 1 a))

Compiler

Compiled 2671 to 1897 computations (29% saved)

simplify114.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

378×	`associate-l_binary64`
312×	`associate-r_binary64`
265×	`associate-+l+_binary64`
260×	`associate-+r+_binary64`
200×	`exp-prod_binary64`

Counts

136 → 110

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	214	2627
1	606	2445
2	2198	2433
3	4171	2424
4	4995	2424

prune104.0ms (2.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	109	2	111

Error

0.0b

Counts

111 → 2

Alt Table

Status	Error	Program
▶	0.0b	(-.f64 (+.f64 (+.f64 (.f64 2 (.f64 (.f64 a a) (.f64 b b))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))) 1)
✓	0.2b	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))) 1)

Status

Error

Program

▶

0.0b

(-.f64 (+.f64 (+.f64 (*.f64 2 (*.f64 (*.f64 a a) (*.f64 b b))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 4 (+.f64 (*.f64 (*.f64 a a) (+.f64 1 a)) (*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))))) 1)

✓

0.2b

(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (*.f64 4 (+.f64 (*.f64 (*.f64 a a) (+.f64 1 a)) (*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))))) 1)

Compiler

Compiled 2615 to 1483 computations (43.3% saved)

localize21.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))
0.1b	(.f64 (.f64 a a) (+.f64 1 a))
0.1b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
2.5b	(.f64 (.f64 a a) (*.f64 b b))

rewrite212.0ms (4.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

44×	`pow1_binary64`
28×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
21×	`pow-prod-down_binary64`
18×	`associate-*r/_binary64`
15×	`prod-exp_binary64` `cbrt-unprod_binary64`

Counts

4 → 104

Calls

4 calls:

12.0ms	(.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))
9.0ms	(.f64 (.f64 a a) (*.f64 b b))
8.0ms	(.f64 (.f64 a a) (+.f64 1 a))
8.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))

Compiler

Compiled 4548 to 2657 computations (41.6% saved)

series146.0ms (2.9%)

Error

0.0b

Counts

4 → 31

Calls

4 calls:

47.0ms	(.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))
30.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
25.0ms	(.f64 (.f64 a a) (*.f64 b b))
16.0ms	(.f64 (.f64 a a) (+.f64 1 a))

Compiler

Compiled 2552 to 1820 computations (28.7% saved)

simplify109.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

445×	`associate-l_binary64`
368×	`associate-r_binary64`
267×	`associate-+l+_binary64`
261×	`associate-+r+_binary64`
207×	`exp-prod_binary64`

Counts

135 → 107

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	198	2444
1	583	2208
2	2307	2171
3	4352	2165
4	4959	2165

prune123.0ms (2.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	106	1	107
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	106	3	109

Error

0.0b

Counts

109 → 3

Alt Table

Status	Error	Program
✓	0.0b	(-.f64 (+.f64 (+.f64 (.f64 2 (.f64 (.f64 a a) (.f64 b b))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))) 1)
✓	0.2b	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))) 1)
▶	2.6b	(-.f64 (+.f64 (+.f64 (.f64 2 (.f64 (.f64 a a) (.f64 b b))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 (pow.f64 a 3) 4)) 1)

Compiler

Compiled 2955 to 1788 computations (39.5% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (pow.f64 b 4) (pow.f64 a 4))
0.0b	(*.f64 (pow.f64 a 3) 4)
0.0b	(+.f64 (+.f64 (.f64 2 (.f64 (.f64 a a) (.f64 b b))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 (pow.f64 a 3) 4))
2.5b	(.f64 (.f64 a a) (*.f64 b b))

rewrite189.0ms (3.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

32×	`pow1_binary64`
21×	`add-exp-log_binary64`
18×	`add-cbrt-cube_binary64`
15×	`add-log-exp_binary64` `add-sqr-sqrt_binary64`
14×	`pow-prod-down_binary64`

Counts

4 → 87

Calls

4 calls:

24.0ms	(+.f64 (+.f64 (.f64 2 (.f64 (.f64 a a) (.f64 b b))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 (pow.f64 a 3) 4))
8.0ms	(.f64 (.f64 a a) (*.f64 b b))
6.0ms	(+.f64 (pow.f64 b 4) (pow.f64 a 4))
6.0ms	(*.f64 (pow.f64 a 3) 4)

Compiler

Compiled 2494 to 1545 computations (38.1% saved)

series157.0ms (3.1%)

Error

0.0b

Counts

4 → 42

Calls

4 calls:

61.0ms	(+.f64 (+.f64 (.f64 2 (.f64 (.f64 a a) (.f64 b b))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 (pow.f64 a 3) 4))
41.0ms	(+.f64 (pow.f64 b 4) (pow.f64 a 4))
23.0ms	(.f64 (.f64 a a) (*.f64 b b))
10.0ms	(*.f64 (pow.f64 a 3) 4)

Compiler

Compiled 1680 to 1302 computations (22.5% saved)

simplify77.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

708×	`distribute-rgt-in_binary64`
678×	`distribute-lft-in_binary64`
341×	`unswap-sqr_binary64`
283×	`cancel-sign-sub-inv_binary64`
260×	`associate-l_binary64`

Counts

129 → 78

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	153	2145
1	370	1921
2	1585	1836
3	5400	1836

prune71.0ms (1.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	77	1	78
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	77	4	81

Error

0.0b

Counts

81 → 4

Alt Table

Status	Error	Program
✓	0.0b	(-.f64 (+.f64 (+.f64 (.f64 2 (.f64 (.f64 a a) (.f64 b b))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))) 1)
▶	2.6b	(-.f64 (+.f64 (pow.f64 b 4) (+.f64 (.f64 2 (.f64 (.f64 a a) (.f64 b b))) (*.f64 (pow.f64 a 3) (+.f64 4 a)))) 1)
✓	0.2b	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))) 1)
✓	2.6b	(-.f64 (+.f64 (+.f64 (.f64 2 (.f64 (.f64 a a) (.f64 b b))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 (pow.f64 a 3) 4)) 1)

Compiler

Compiled 1335 to 838 computations (37.2% saved)

localize14.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(.f64 2 (.f64 (.f64 a a) (.f64 b b)))
0.1b	(*.f64 (pow.f64 a 3) (+.f64 4 a))
2.5b	(.f64 (.f64 a a) (*.f64 b b))

rewrite171.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

49×	`pow1_binary64`
38×	`add-exp-log_binary64`
35×	`add-cbrt-cube_binary64`
27×	`pow-prod-down_binary64`
24×	`prod-exp_binary64`

Counts

3 → 92

Calls

3 calls:

12.0ms	(.f64 2 (.f64 (.f64 a a) (.f64 b b)))
9.0ms	(.f64 (.f64 a a) (*.f64 b b))
8.0ms	(*.f64 (pow.f64 a 3) (+.f64 4 a))

Compiler

Compiled 2211 to 1243 computations (43.8% saved)

series72.0ms (1.4%)

Error

0.0b

Counts

3 → 18

Calls

3 calls:

26.0ms	(.f64 2 (.f64 (.f64 a a) (.f64 b b)))
21.0ms	(.f64 (.f64 a a) (*.f64 b b))
16.0ms	(*.f64 (pow.f64 a 3) (+.f64 4 a))

Compiler

Compiled 917 to 707 computations (22.9% saved)

simplify132.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

404×	`exp-prod_binary64`
373×	`log-prod_binary64`
332×	`unswap-sqr_binary64`
307×	`distribute-rgt-in_binary64`
305×	`associate-l_binary64`

Counts

110 → 75

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	132	1522
1	305	1304
2	1432	1255
3	3648	1198
4	4532	1198
5	4947	1198
6	4920	1198

prune62.0ms (1.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	75	0	75
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	75	4	79

Error

0.0b

Counts

79 → 4

Alt Table

Status	Error	Program
	0.0b	(-.f64 (+.f64 (+.f64 (.f64 2 (.f64 (.f64 a a) (.f64 b b))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))) 1)
	2.6b	(-.f64 (+.f64 (pow.f64 b 4) (+.f64 (.f64 2 (.f64 (.f64 a a) (.f64 b b))) (*.f64 (pow.f64 a 3) (+.f64 4 a)))) 1)
	0.2b	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))) 1)
	2.6b	(-.f64 (+.f64 (+.f64 (.f64 2 (.f64 (.f64 a a) (.f64 b b))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 (pow.f64 a 3) 4)) 1)

Compiler

Compiled 978 to 619 computations (36.7% saved)

regimes1.3s (26.8%)

Accuracy

Total 0.0b remaining (41.9%)

Threshold costs 0.0b (41.9%)

Compiler

Compiled 29049 to 19996 computations (31.2% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

9×	`+-commutative_binary64`
8×	`*-commutative_binary64`
4×	`sub-neg_binary64`
2×	`neg-mul-1_binary64` `neg-sub0_binary64` `cancel-sign-sub-inv_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	55
1	47	55
2	54	55
3	58	55
4	61	55
5	62	55
6	59	55

end1.0ms (0%)

Compiler: Compiled 39 to 29 computations (25.6% saved)

sample918.0ms (18.4%)

Algorithm

1×

intervals

Results

535.0ms	8000×	body	128	valid
0.0ms	6×	body	128	invalid

Compiler

Compiled 201 to 139 computations (30.8% saved)

Details

analyze432.0ms (8.6%)

sample25.0ms (0.5%)

simplify63.0ms (1.3%)

prune7.0ms (0.1%)

localize17.0ms (0.3%)

rewrite231.0ms (4.6%)

series173.0ms (3.5%)

simplify114.0ms (2.3%)

prune104.0ms (2.1%)

localize21.0ms (0.4%)

rewrite212.0ms (4.2%)

series146.0ms (2.9%)

simplify109.0ms (2.2%)

prune123.0ms (2.5%)

localize15.0ms (0.3%)

rewrite189.0ms (3.8%)

series157.0ms (3.1%)

simplify77.0ms (1.5%)

prune71.0ms (1.4%)

localize14.0ms (0.3%)

rewrite171.0ms (3.4%)

series72.0ms (1.4%)

simplify132.0ms (2.6%)

prune62.0ms (1.2%)

regimes1.3s (26.8%)

simplify5.0ms (0.1%)

end1.0ms (0%)

sample918.0ms (18.4%)

Profiling