Details

analyze148.0ms (5.4%)

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
25%	74.9%	0.1%	5
25%	50%	25.1%	6
25%	31.2%	43.8%	7
25%	21.9%	53.2%	8
25%	14%	61%	9
28.1%	10.9%	61%	10
31.6%	7.4%	61%	11
33.4%	5.7%	61%	12
35.2%	3.8%	61%	13
36.1%	2.9%	61%	14

Compiler

Compiled 20 to 13 computations (35% saved)

sample24.0ms (0.9%)

Algorithm

1×

intervals

Results

16.0ms

256×

body

128

valid

Compiler

Compiled 41 to 27 computations (34.1% saved)

simplify41.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

785×	`distribute-rgt-neg-in_binary64`
770×	`unswap-sqr_binary64`
631×	`associate-l_binary64`
289×	`sub-neg_binary64`
232×	`associate-+l+_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	25
1	29	25
2	50	25
3	138	25
4	374	25
5	1117	25
6	2839	25
7	5140	25

prune2.0ms (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 b b))) 1)

Compiler

Compiled 57 to 36 computations (36.8% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b b)))
0.0b	(+.f64 (.f64 a a) (.f64 b b))
0.0b	(.f64 4 (.f64 b b))
0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

rewrite81.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

10×	`add-exp-log_binary64`
10×	`pow1_binary64`
9×	`add-cbrt-cube_binary64`
8×	`add-log-exp_binary64`
8×	`add-sqr-sqrt_binary64`

Counts

4 → 59

Calls

4 calls:

7.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b b)))
4.0ms	(.f64 4 (.f64 b b))
4.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
3.0ms	(+.f64 (.f64 a a) (.f64 b b))

Compiler

Compiled 1430 to 623 computations (56.4% saved)

series137.0ms (5%)

Error

0.0b

Counts

4 → 51

Calls

4 calls:

55.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b b)))
35.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
18.0ms	(+.f64 (.f64 a a) (.f64 b b))
6.0ms	(.f64 4 (.f64 b b))

Compiler

Compiled 1724 to 1354 computations (21.5% saved)

simplify130.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

682×	`associate-l_binary64`
585×	`associate-r_binary64`
408×	`distribute-rgt-neg-in_binary64`
301×	`exp-prod_binary64`
242×	`distribute-rgt-in_binary64`

Counts

110 → 73

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	113	1770
1	299	1632
2	858	1626
3	3568	1626
4	4705	1626
5	4956	1626
6	4881	1626

prune43.0ms (1.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	71	2	73
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	72	2	74

Error

Counts

74 → 2

Alt Table

Status	Error	Program
	0.1b	(-.f64 (+.f64 (pow.f64 a 4) (.f64 (.f64 b b) (+.f64 (.f64 b b) (+.f64 4 (.f64 2 (*.f64 a a)))))) 1)
▶	0.0b	(-.f64 (+.f64 (+.f64 (+.f64 (pow.f64 b 4) (.f64 2 (.f64 (.f64 a a) (.f64 b b)))) (pow.f64 a 4)) (.f64 4 (.f64 b b))) 1)

Status

Error

Program

0.1b

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

▶

0.0b

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

Compiler

Compiled 871 to 440 computations (49.5% saved)

localize16.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 (+.f64 (pow.f64 b 4) (.f64 2 (.f64 (.f64 a a) (.f64 b b)))) (pow.f64 a 4)) (.f64 4 (.f64 b b)))
0.0b	(.f64 2 (.f64 (.f64 a a) (.f64 b b)))
0.0b	(.f64 4 (.f64 b b))
1.8b	(.f64 (.f64 a a) (*.f64 b b))

rewrite115.0ms (4.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

55×	`pow1_binary64`
39×	`add-cbrt-cube_binary64`
39×	`add-exp-log_binary64`
30×	`pow-prod-down_binary64`
24×	`cbrt-unprod_binary64`

Counts

4 → 89

Calls

4 calls:

11.0ms	(.f64 2 (.f64 (.f64 a a) (.f64 b b)))
10.0ms	(+.f64 (+.f64 (+.f64 (pow.f64 b 4) (.f64 2 (.f64 (.f64 a a) (.f64 b b)))) (pow.f64 a 4)) (.f64 4 (.f64 b b)))
7.0ms	(.f64 (.f64 a a) (*.f64 b b))
4.0ms	(.f64 4 (.f64 b b))

Compiler

Compiled 2528 to 1303 computations (48.5% saved)

series108.0ms (4%)

Error

Counts

4 → 33

Calls

4 calls:

57.0ms	(+.f64 (+.f64 (+.f64 (pow.f64 b 4) (.f64 2 (.f64 (.f64 a a) (.f64 b b)))) (pow.f64 a 4)) (.f64 4 (.f64 b b)))
20.0ms	(.f64 2 (.f64 (.f64 a a) (.f64 b b)))
17.0ms	(.f64 (.f64 a a) (*.f64 b b))
8.0ms	(.f64 4 (.f64 b b))

Compiler

Compiled 1463 to 1154 computations (21.1% saved)

simplify83.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

601×	`distribute-rgt-in_binary64`
586×	`distribute-lft-in_binary64`
579×	`unswap-sqr_binary64`
518×	`*-commutative_binary64`
218×	`associate-+l+_binary64`

Counts

122 → 82

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	134	2200
1	309	1883
2	1192	1780
3	3922	1747
4	5223	1747

prune31.0ms (1.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	81	1	82
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	83	1	84

Error

Counts

84 → 1

Alt Table

Status	Error	Program
▶	0b	(-.f64 (+.f64 (pow.f64 a 4) (+.f64 (.f64 (.f64 b b) (+.f64 4 (.f64 2 (.f64 a a)))) (pow.f64 b 4))) 1)

Compiler

Compiled 1069 to 642 computations (39.9% saved)

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 4 (.f64 2 (.f64 a a)))
0.0b	(+.f64 (.f64 (.f64 b b) (+.f64 4 (.f64 2 (.f64 a a)))) (pow.f64 b 4))
0.0b	(.f64 2 (.f64 a a))
1.3b	(.f64 (.f64 b b) (+.f64 4 (.f64 2 (.f64 a a))))

rewrite75.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

14×	`add-cbrt-cube_binary64`
14×	`add-exp-log_binary64`
14×	`pow1_binary64`
8×	`add-sqr-sqrt_binary64`
8×	`add-log-exp_binary64`

Counts

4 → 66

Calls

4 calls:

7.0ms	(+.f64 (.f64 (.f64 b b) (+.f64 4 (.f64 2 (.f64 a a)))) (pow.f64 b 4))
6.0ms	(.f64 2 (.f64 a a))
6.0ms	(.f64 (.f64 b b) (+.f64 4 (.f64 2 (.f64 a a))))
2.0ms	(+.f64 4 (.f64 2 (.f64 a a)))

Compiler

Compiled 1889 to 1187 computations (37.2% saved)

series95.0ms (3.5%)

Error

Counts

4 → 30

Calls

4 calls:

40.0ms	(+.f64 (.f64 (.f64 b b) (+.f64 4 (.f64 2 (.f64 a a)))) (pow.f64 b 4))
25.0ms	(.f64 (.f64 b b) (+.f64 4 (.f64 2 (.f64 a a))))
10.0ms	(+.f64 4 (.f64 2 (.f64 a a)))
6.0ms	(.f64 2 (.f64 a a))

Compiler

Compiled 1334 to 1068 computations (19.9% saved)

simplify78.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

557×	`distribute-rgt-in_binary64`
537×	`distribute-lft-in_binary64`
509×	`cancel-sign-sub-inv_binary64`
406×	`*-commutative_binary64`
309×	`unswap-sqr_binary64`

Counts

96 → 73

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	122	1626
1	329	1539
2	1184	1509
3	3895	1509
4	5198	1509

prune95.0ms (3.5%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	73	1	74

Error

Counts

74 → 1

Alt Table

Status	Error	Program
	0b	(-.f64 (+.f64 (pow.f64 a 4) (+.f64 (.f64 (.f64 b b) (+.f64 4 (.f64 2 (.f64 a a)))) (pow.f64 b 4))) 1)

Compiler

Compiled 1210 to 779 computations (35.6% saved)

regimes548.0ms (20.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Compiler

Compiled 8745 to 5931 computations (32.2% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64`
2×	`*-commutative_binary64`
1×	`sub-neg_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	31
1	26	31
2	27	31
3	25	31

end1.0ms (0%)

Compiler: Compiled 23 to 17 computations (26.1% saved)

sample851.0ms (31.2%)

Algorithm

1×

intervals

Results

505.0ms	8000×	body	128	valid
0.0ms	4×	body	128	invalid

Compiler

Compiled 68 to 49 computations (27.9% saved)

Details

analyze148.0ms (5.4%)

sample24.0ms (0.9%)

simplify41.0ms (1.5%)

prune2.0ms (0.1%)

localize9.0ms (0.3%)

rewrite81.0ms (3%)

series137.0ms (5%)

simplify130.0ms (4.8%)

prune43.0ms (1.6%)

localize16.0ms (0.6%)

rewrite115.0ms (4.2%)

series108.0ms (4%)

simplify83.0ms (3.1%)

prune31.0ms (1.2%)

localize12.0ms (0.4%)

rewrite75.0ms (2.8%)

series95.0ms (3.5%)

simplify78.0ms (2.9%)

prune95.0ms (3.5%)

regimes548.0ms (20.1%)

simplify4.0ms (0.1%)

end1.0ms (0%)

sample851.0ms (31.2%)

Profiling