Details

analyze266.0ms (8.2%)

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)

sample32.0ms (1%)

Algorithm

1×

intervals

Results

22.0ms

256×

body

128

valid

Compiler

Compiled 69 to 45 computations (34.8% saved)

simplify66.0ms (2%)

Algorithm

1×	egg-herbie

Rules

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

prune3.0ms (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)

localize16.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

rewrite119.0ms (3.7%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

15×	`add-exp-log_binary64`
15×	`pow1_binary64`
14×	`add-cbrt-cube_binary64`
10×	`*-un-lft-identity_binary64`
10×	`add-sqr-sqrt_binary64`

Counts

4 → 80

Calls

4 calls:

7.0ms	(+.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))))))
6.0ms	(.f64 (.f64 a a) (+.f64 1 a))
6.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
5.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

Compiler

Compiled 3111 to 1674 computations (46.2% saved)

series152.0ms (4.7%)

Error

Counts

4 → 48

Calls

4 calls:

56.0ms	(+.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))))))
41.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
19.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
11.0ms	(.f64 (.f64 a a) (+.f64 1 a))

Compiler

Compiled 2804 to 2067 computations (26.3% saved)

simplify77.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

853×	`distribute-rgt-in_binary64`
794×	`distribute-lft-in_binary64`
246×	`associate-l_binary64`
221×	`cancel-sign-sub-inv_binary64`
204×	`associate-r_binary64`

Counts

128 → 100

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	183	2774
1	503	2475
2	1689	2441
3	5378	2441

prune69.0ms (2.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	98	2	100
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	99	2	101

Error

Counts

101 → 2

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

Status

Error

Program

0.2b

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

▶

0.0b

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

Compiler

Compiled 2240 to 1237 computations (44.8% saved)

localize21.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 a a) (+.f64 1 a))
0.1b	(.f64 a (.f64 a (*.f64 b b)))
0.3b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
0.4b	(.f64 a (.f64 b b))

rewrite121.0ms (3.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

28×	`add-cbrt-cube_binary64`
28×	`add-exp-log_binary64`
28×	`pow1_binary64`
15×	`cbrt-unprod_binary64`
15×	`prod-exp_binary64`

Counts

4 → 89

Calls

4 calls:

7.0ms	(.f64 (.f64 a a) (+.f64 1 a))
6.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
6.0ms	(.f64 a (.f64 a (*.f64 b b)))
6.0ms	(.f64 a (.f64 b b))

Compiler

Compiled 3577 to 2031 computations (43.2% saved)

series79.0ms (2.5%)

Error

Counts

4 → 26

Calls

4 calls:

20.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
19.0ms	(.f64 a (.f64 a (*.f64 b b)))
17.0ms	(.f64 a (.f64 b b))
11.0ms	(.f64 (.f64 a a) (+.f64 1 a))

Compiler

Compiled 2254 to 1615 computations (28.3% saved)

simplify88.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

469×	`*-commutative_binary64`
355×	`distribute-rgt-in_binary64`
316×	`distribute-lft-in_binary64`
299×	`sqr-pow_binary64`
298×	`associate-l_binary64`

Counts

115 → 88

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	138	1551
1	360	1280
2	1266	1259
3	2699	1239
4	3866	1228
5	5117	1228

prune57.0ms (1.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	88	2	90

Error

Counts

90 → 2

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

Status

Error

Program

▶

0.2b

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

✓

0.0b

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

Compiler

Compiled 1947 to 1167 computations (40.1% saved)

localize16.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

rewrite131.0ms (4.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

12×	`associate-*r/_binary64`
12×	`add-sqr-sqrt_binary64`
12×	`add-exp-log_binary64`
12×	`pow1_binary64`
11×	`add-cbrt-cube_binary64`

Counts

4 → 82

Calls

4 calls:

11.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (+.f64 (.f64 a a) (pow.f64 a 3)) (.f64 (.f64 b b) (-.f64 1 (*.f64 3 a))))))
9.0ms	(.f64 4 (+.f64 (+.f64 (.f64 a a) (pow.f64 a 3)) (.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))))
6.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
4.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

Compiler

Compiled 3672 to 2019 computations (45% saved)

series179.0ms (5.5%)

Error

Counts

4 → 53

Calls

4 calls:

62.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (+.f64 (.f64 a a) (pow.f64 a 3)) (.f64 (.f64 b b) (-.f64 1 (*.f64 3 a))))))
40.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
31.0ms	(.f64 4 (+.f64 (+.f64 (.f64 a a) (pow.f64 a 3)) (.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))))
20.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))

Compiler

Compiled 3079 to 2289 computations (25.7% saved)

simplify99.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

686×	`associate-+l+_binary64`
323×	`cancel-sign-sub-inv_binary64`
258×	`associate-l_binary64`
249×	`associate-r_binary64`
183×	`distribute-rgt-neg-in_binary64`

Counts

135 → 109

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	218	3480
1	647	3298
2	2407	3223
3	5329	3223

prune82.0ms (2.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

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

Error

Counts

111 → 2

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

Status

Error

Program

0.2b

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

0.0b

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

Compiler

Compiled 2863 to 1611 computations (43.7% saved)

regimes491.0ms (15.2%)

Accuracy

Total 0.0b remaining (77.2%)

Threshold costs 0.0b (77.2%)

Compiler

Compiled 13939 to 9288 computations (33.4% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`+-commutative_binary64`
5×	`*-commutative_binary64`
1×	`sub-neg_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	49
1	36	49
2	37	49
3	35	49

end1.0ms (0%)

Compiler: Compiled 35 to 23 computations (34.3% saved)

sample1.1s (32.8%)

Algorithm

1×

intervals

Results

727.0ms	8000×	body	128	valid
0.0ms	4×	body	128	invalid

Compiler

Compiled 145 to 96 computations (33.8% saved)

Details

analyze266.0ms (8.2%)

sample32.0ms (1%)

simplify66.0ms (2%)

prune3.0ms (0.1%)

localize16.0ms (0.5%)

rewrite119.0ms (3.7%)

series152.0ms (4.7%)

simplify77.0ms (2.4%)

prune69.0ms (2.1%)

localize21.0ms (0.6%)

rewrite121.0ms (3.7%)

series79.0ms (2.5%)

simplify88.0ms (2.7%)

prune57.0ms (1.8%)

localize16.0ms (0.5%)

rewrite131.0ms (4.1%)

series179.0ms (5.5%)

simplify99.0ms (3.1%)

prune82.0ms (2.6%)

regimes491.0ms (15.2%)

simplify4.0ms (0.1%)

end1.0ms (0%)

sample1.1s (32.8%)

Profiling