Details

analyze183.0ms (2.2%)

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%	50%	50%	4
0%	50%	50%	5
12.5%	37.5%	50%	6
18.7%	31.2%	50%	7
28.1%	21.9%	50%	8
32.8%	17.2%	50%	9
38.2%	11.7%	50%	10
41%	9%	50%	11
43.9%	6%	50%	12
45.4%	4.6%	50%	13
46.9%	3.1%	50%	14

Compiler

Compiled 31 to 22 computations (29% saved)

sample34.0ms (0.4%)

Algorithm

1×

intervals

Results

25.0ms

256×

body

128

valid

Compiler

Compiled 63 to 45 computations (28.6% saved)

simplify60.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

826×	`times-frac_binary64`
719×	`distribute-neg-frac_binary64`
509×	`associate-/r*_binary64`
353×	`associate-/l*_binary64`
343×	`div-sub_binary64`

Counts

1 → 1

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	43
1	58	43
2	179	40
3	803	40
4	3764	40
5	4802	40
6	4990	40

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.6b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.6b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 -6 v)))) (.f64 (.f64 PI.f64 t) (-.f64 1 (.f64 v v)))))

Compiler

Compiled 84 to 60 computations (28.6% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 5 (.f64 v v))
0.3b	(*.f64 PI.f64 t)
0.4b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 -6 v)))) (.f64 (.f64 PI.f64 t) (-.f64 1 (.f64 v v)))))
0.5b	(.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 -6 v)))) (.f64 (.f64 PI.f64 t) (-.f64 1 (.f64 v v))))

rewrite185.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

34×	`add-cbrt-cube_binary64`
34×	`add-exp-log_binary64`
20×	`pow1_binary64`
16×	`associate-*r/_binary64`
16×	`cbrt-unprod_binary64`

Counts

4 → 113

Calls

4 calls:

15.0ms	(.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 -6 v)))) (.f64 (.f64 PI.f64 t) (-.f64 1 (.f64 v v))))
12.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 -6 v)))) (.f64 (.f64 PI.f64 t) (-.f64 1 (.f64 v v)))))
4.0ms	(.f64 5 (.f64 v v))
3.0ms	(*.f64 PI.f64 t)

Compiler

Compiled 4225 to 2542 computations (39.8% saved)

series134.0ms (1.6%)

Error

0.3b

Counts

4 → 24

Calls

4 calls:

61.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 -6 v)))) (.f64 (.f64 PI.f64 t) (-.f64 1 (.f64 v v)))))
38.0ms	(.f64 (sqrt.f64 (+.f64 2 (.f64 v (.f64 -6 v)))) (.f64 (.f64 PI.f64 t) (-.f64 1 (.f64 v v))))
6.0ms	(.f64 5 (.f64 v v))
5.0ms	(*.f64 PI.f64 t)

Compiler

Compiled 2133 to 1600 computations (25% saved)

simplify130.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

585×	`times-frac_binary64`
554×	`associate-r_binary64`
513×	`associate-l_binary64`
420×	`associate-/r*_binary64`
277×	`associate-/l*_binary64`

Counts

137 → 112

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	363	5019
1	1021	4378
2	4996	4378
3	4935	4378

prune108.0ms (1.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	105	7	112
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	106	7	113

Error

0.2b

Counts

113 → 7

Alt Table

Status	Error	Program
	0.9b	(-.f64 (+.f64 (.f64 9/8 (/.f64 (pow.f64 v 6) (.f64 (.f64 PI.f64 t) (.f64 1/2 (sqrt.f64 1/2))))) (+.f64 (/.f64 (sqrt.f64 1/2) (.f64 PI.f64 t)) (+.f64 (.f64 27/128 (/.f64 (pow.f64 v 6) (.f64 (.f64 PI.f64 t) (pow.f64 (sqrt.f64 1/2) 5)))) (+.f64 (.f64 3/4 (/.f64 (.f64 v v) (.f64 (.f64 PI.f64 t) (sqrt.f64 1/2)))) (.f64 15/4 (/.f64 (pow.f64 v 6) (.f64 (.f64 PI.f64 t) (sqrt.f64 1/2)))))))) (+.f64 (.f64 (/.f64 (pow.f64 v 6) (.f64 (.f64 PI.f64 t) (.f64 1/2 (sqrt.f64 1/2)))) 27/16) (+.f64 (.f64 (/.f64 (pow.f64 v 6) (.f64 (.f64 PI.f64 t) (sqrt.f64 1/2))) 9) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 v 6) (sqrt.f64 1/2)) (.f64 PI.f64 t))) (+.f64 (.f64 3/4 (/.f64 (pow.f64 v 4) (.f64 (.f64 PI.f64 t) (sqrt.f64 1/2)))) (+.f64 (.f64 4 (+.f64 (.f64 (/.f64 (sqrt.f64 1/2) (.f64 PI.f64 t)) (pow.f64 v 4)) (.f64 (/.f64 (sqrt.f64 1/2) (.f64 PI.f64 t)) (.f64 v v)))) (.f64 9/32 (/.f64 (pow.f64 v 4) (.f64 (.f64 PI.f64 t) (.f64 1/2 (sqrt.f64 1/2)))))))))))
	36.7b	(exp.f64 (log.f64 (/.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (.f64 PI.f64 t) (-.f64 1 (.f64 v v)))) (sqrt.f64 (-.f64 2 (.f64 (*.f64 v v) 6))))))
▶	0.5b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 t (.f64 PI.f64 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))))) (-.f64 1 (.f64 v v))))
	0.6b	(/.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))) (.f64 (.f64 PI.f64 t) (-.f64 1 (*.f64 v v))))
	0.6b	(/.f64 (-.f64 (pow.f64 1 3) (pow.f64 (.f64 5 (.f64 v v)) 3)) (.f64 (.f64 PI.f64 (.f64 (.f64 t (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))))) (+.f64 1 (+.f64 (.f64 (.f64 v v) 5) (.f64 (pow.f64 v 4) 25)))))
	0.6b	(.f64 (/.f64 1 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))) (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (.f64 PI.f64 t) (-.f64 1 (.f64 v v)))))
	0.9b	(.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (.f64 PI.f64 t) (-.f64 1 (.f64 v v)))) (sqrt.f64 (/.f64 1 (-.f64 2 (.f64 (.f64 v v) 6)))))

Compiler

Compiled 3693 to 2323 computations (37.1% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 5 (.f64 v v))
0.2b	(.f64 t (.f64 PI.f64 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))))
0.2b	(.f64 (.f64 v v) 6)
0.4b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 t (.f64 PI.f64 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))))) (-.f64 1 (.f64 v v))))

rewrite153.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

33×	`add-cbrt-cube_binary64`
33×	`add-exp-log_binary64`
19×	`pow1_binary64`
18×	`associate-*r/_binary64`
15×	`cbrt-unprod_binary64`

Counts

4 → 94

Calls

4 calls:

14.0ms	(.f64 t (.f64 PI.f64 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))))
12.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 t (.f64 PI.f64 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))))) (-.f64 1 (.f64 v v))))
5.0ms	(.f64 (.f64 v v) 6)
4.0ms	(.f64 5 (.f64 v v))

Compiler

Compiled 3351 to 2003 computations (40.2% saved)

series122.0ms (1.5%)

Error

0.2b

Counts

4 → 24

Calls

4 calls:

64.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 t (.f64 PI.f64 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))))) (-.f64 1 (.f64 v v))))
24.0ms	(.f64 t (.f64 PI.f64 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))))
8.0ms	(.f64 5 (.f64 v v))
8.0ms	(.f64 (.f64 v v) 6)

Compiler

Compiled 1987 to 1459 computations (26.6% saved)

simplify166.0ms (2%)

Algorithm

1×	egg-herbie

Rules

517×	`times-frac_binary64`
420×	`associate-l_binary64`
381×	`associate-r_binary64`
334×	`associate-/r*_binary64`
285×	`associate-/l*_binary64`

Counts

118 → 94

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	318	3706
1	906	3197
2	4456	3188
3	4987	3188
4	4995	3188
5	4972	3188

prune94.0ms (1.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	93	1	94
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	94	7	101

Error

0.2b

Counts

101 → 7

Alt Table

Status	Error	Program
	0.9b	(-.f64 (+.f64 (.f64 9/8 (/.f64 (pow.f64 v 6) (.f64 (.f64 PI.f64 t) (.f64 1/2 (sqrt.f64 1/2))))) (+.f64 (/.f64 (sqrt.f64 1/2) (.f64 PI.f64 t)) (+.f64 (.f64 27/128 (/.f64 (pow.f64 v 6) (.f64 (.f64 PI.f64 t) (pow.f64 (sqrt.f64 1/2) 5)))) (+.f64 (.f64 3/4 (/.f64 (.f64 v v) (.f64 (.f64 PI.f64 t) (sqrt.f64 1/2)))) (.f64 15/4 (/.f64 (pow.f64 v 6) (.f64 (.f64 PI.f64 t) (sqrt.f64 1/2)))))))) (+.f64 (.f64 (/.f64 (pow.f64 v 6) (.f64 (.f64 PI.f64 t) (.f64 1/2 (sqrt.f64 1/2)))) 27/16) (+.f64 (.f64 (/.f64 (pow.f64 v 6) (.f64 (.f64 PI.f64 t) (sqrt.f64 1/2))) 9) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 v 6) (sqrt.f64 1/2)) (.f64 PI.f64 t))) (+.f64 (.f64 3/4 (/.f64 (pow.f64 v 4) (.f64 (.f64 PI.f64 t) (sqrt.f64 1/2)))) (+.f64 (.f64 4 (+.f64 (.f64 (/.f64 (sqrt.f64 1/2) (.f64 PI.f64 t)) (pow.f64 v 4)) (.f64 (/.f64 (sqrt.f64 1/2) (.f64 PI.f64 t)) (.f64 v v)))) (.f64 9/32 (/.f64 (pow.f64 v 4) (.f64 (.f64 PI.f64 t) (.f64 1/2 (sqrt.f64 1/2)))))))))))
	36.7b	(exp.f64 (log.f64 (/.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (.f64 PI.f64 t) (-.f64 1 (.f64 v v)))) (sqrt.f64 (-.f64 2 (.f64 (*.f64 v v) 6))))))
✓	0.5b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 t (.f64 PI.f64 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))))) (-.f64 1 (.f64 v v))))
▶	0.6b	(/.f64 (sqrt.f64 (-.f64 1 (.f64 5 (.f64 v v)))) (/.f64 (-.f64 1 (.f64 v v)) (/.f64 (sqrt.f64 (-.f64 1 (.f64 (.f64 v v) 5))) (.f64 (.f64 t PI.f64) (sqrt.f64 (-.f64 2 (.f64 (*.f64 v v) 6)))))))
	0.6b	(/.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))) (.f64 (.f64 PI.f64 t) (-.f64 1 (*.f64 v v))))
	0.6b	(.f64 (/.f64 1 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))) (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (.f64 PI.f64 t) (-.f64 1 (.f64 v v)))))
	0.9b	(.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (.f64 PI.f64 t) (-.f64 1 (.f64 v v)))) (sqrt.f64 (/.f64 1 (-.f64 2 (.f64 (.f64 v v) 6)))))

Compiler

Compiled 3042 to 1901 computations (37.5% saved)

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 t PI.f64)
0.4b	(/.f64 (sqrt.f64 (-.f64 1 (.f64 5 (.f64 v v)))) (/.f64 (-.f64 1 (.f64 v v)) (/.f64 (sqrt.f64 (-.f64 1 (.f64 (.f64 v v) 5))) (.f64 (.f64 t PI.f64) (sqrt.f64 (-.f64 2 (.f64 (*.f64 v v) 6)))))))
0.4b	(/.f64 (sqrt.f64 (-.f64 1 (.f64 (.f64 v v) 5))) (.f64 (.f64 t PI.f64) (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))))
0.5b	(.f64 (.f64 t PI.f64) (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))))

rewrite880.0ms (10.7%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

1026×	`times-frac_binary64`
426×	`add-sqr-sqrt_binary64`
424×	`*-un-lft-identity_binary64`
340×	`add-cube-cbrt_binary64`
312×	`sqrt-prod_binary64`

Counts

4 → 558

Calls

4 calls:

30.0ms	(/.f64 (sqrt.f64 (-.f64 1 (.f64 5 (.f64 v v)))) (/.f64 (-.f64 1 (.f64 v v)) (/.f64 (sqrt.f64 (-.f64 1 (.f64 (.f64 v v) 5))) (.f64 (.f64 t PI.f64) (sqrt.f64 (-.f64 2 (.f64 (*.f64 v v) 6)))))))
9.0ms	(/.f64 (sqrt.f64 (-.f64 1 (.f64 (.f64 v v) 5))) (.f64 (.f64 t PI.f64) (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))))
6.0ms	(.f64 (.f64 t PI.f64) (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))))
3.0ms	(*.f64 t PI.f64)

Compiler

Compiled 29182 to 18552 computations (36.4% saved)

series182.0ms (2.2%)

Error

0.2b

Counts

4 → 30

Calls

4 calls:

59.0ms	(/.f64 (sqrt.f64 (-.f64 1 (.f64 5 (.f64 v v)))) (/.f64 (-.f64 1 (.f64 v v)) (/.f64 (sqrt.f64 (-.f64 1 (.f64 (.f64 v v) 5))) (.f64 (.f64 t PI.f64) (sqrt.f64 (-.f64 2 (.f64 (*.f64 v v) 6)))))))
54.0ms	(/.f64 (sqrt.f64 (-.f64 1 (.f64 (.f64 v v) 5))) (.f64 (.f64 t PI.f64) (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))))
30.0ms	(.f64 (.f64 t PI.f64) (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))))
6.0ms	(*.f64 t PI.f64)

Compiler

Compiled 2939 to 2125 computations (27.7% saved)

simplify694.0ms (8.4%)

Algorithm

1×	egg-herbie

Rules

793×	`associate-/r/_binary64`
594×	`associate-/l/_binary64`
493×	`times-frac_binary64`
437×	`associate-/l*_binary64`
87×	`*-commutative_binary64`

Counts

588 → 562

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	837	47276
1	2038	46176
2	5235	46176

prune653.0ms (7.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	562	0	562
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	562	7	569

Error

0.2b

Counts

569 → 7

Alt Table

Status	Error	Program
	0.9b	(-.f64 (+.f64 (.f64 9/8 (/.f64 (pow.f64 v 6) (.f64 (.f64 PI.f64 t) (.f64 1/2 (sqrt.f64 1/2))))) (+.f64 (/.f64 (sqrt.f64 1/2) (.f64 PI.f64 t)) (+.f64 (.f64 27/128 (/.f64 (pow.f64 v 6) (.f64 (.f64 PI.f64 t) (pow.f64 (sqrt.f64 1/2) 5)))) (+.f64 (.f64 3/4 (/.f64 (.f64 v v) (.f64 (.f64 PI.f64 t) (sqrt.f64 1/2)))) (.f64 15/4 (/.f64 (pow.f64 v 6) (.f64 (.f64 PI.f64 t) (sqrt.f64 1/2)))))))) (+.f64 (.f64 (/.f64 (pow.f64 v 6) (.f64 (.f64 PI.f64 t) (.f64 1/2 (sqrt.f64 1/2)))) 27/16) (+.f64 (.f64 (/.f64 (pow.f64 v 6) (.f64 (.f64 PI.f64 t) (sqrt.f64 1/2))) 9) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 v 6) (sqrt.f64 1/2)) (.f64 PI.f64 t))) (+.f64 (.f64 3/4 (/.f64 (pow.f64 v 4) (.f64 (.f64 PI.f64 t) (sqrt.f64 1/2)))) (+.f64 (.f64 4 (+.f64 (.f64 (/.f64 (sqrt.f64 1/2) (.f64 PI.f64 t)) (pow.f64 v 4)) (.f64 (/.f64 (sqrt.f64 1/2) (.f64 PI.f64 t)) (.f64 v v)))) (.f64 9/32 (/.f64 (pow.f64 v 4) (.f64 (.f64 PI.f64 t) (.f64 1/2 (sqrt.f64 1/2)))))))))))
	36.7b	(exp.f64 (log.f64 (/.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (.f64 PI.f64 t) (-.f64 1 (.f64 v v)))) (sqrt.f64 (-.f64 2 (.f64 (*.f64 v v) 6))))))
✓	0.5b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 t (.f64 PI.f64 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))))) (-.f64 1 (.f64 v v))))
✓	0.6b	(/.f64 (sqrt.f64 (-.f64 1 (.f64 5 (.f64 v v)))) (/.f64 (-.f64 1 (.f64 v v)) (/.f64 (sqrt.f64 (-.f64 1 (.f64 (.f64 v v) 5))) (.f64 (.f64 t PI.f64) (sqrt.f64 (-.f64 2 (.f64 (*.f64 v v) 6)))))))
▶	0.6b	(/.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))) (.f64 (.f64 PI.f64 t) (-.f64 1 (*.f64 v v))))
	0.6b	(.f64 (/.f64 1 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))) (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (.f64 PI.f64 t) (-.f64 1 (.f64 v v)))))
	0.9b	(.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (.f64 PI.f64 t) (-.f64 1 (.f64 v v)))) (sqrt.f64 (/.f64 1 (-.f64 2 (.f64 (.f64 v v) 6)))))

Compiler

Compiled 19159 to 12154 computations (36.6% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 v v) 6)
0.3b	(*.f64 PI.f64 t)
0.6b	(/.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))) (.f64 (.f64 PI.f64 t) (-.f64 1 (*.f64 v v))))
1.0b	(/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))))

rewrite201.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

78×	`times-frac_binary64`
51×	`add-sqr-sqrt_binary64`
48×	`*-un-lft-identity_binary64`
48×	`add-cube-cbrt_binary64`
34×	`add-cbrt-cube_binary64`

Counts

4 → 156

Calls

4 calls:

13.0ms	(/.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))) (.f64 (.f64 PI.f64 t) (-.f64 1 (*.f64 v v))))
9.0ms	(/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))))
5.0ms	(.f64 (.f64 v v) 6)
3.0ms	(*.f64 PI.f64 t)

Compiler

Compiled 5895 to 3482 computations (40.9% saved)

series156.0ms (1.9%)

Error

0.2b

Counts

4 → 21

Calls

4 calls:

61.0ms	(/.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))) (.f64 (.f64 PI.f64 t) (-.f64 1 (*.f64 v v))))
15.0ms	(/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))))
6.0ms	(.f64 (.f64 v v) 6)
5.0ms	(*.f64 PI.f64 t)

Compiler

Compiled 1780 to 1345 computations (24.4% saved)

simplify162.0ms (2%)

Algorithm

1×	egg-herbie

Rules

426×	`times-frac_binary64`
380×	`associate-/r*_binary64`
373×	`associate-/l*_binary64`
291×	`associate-l_binary64`
261×	`associate-r_binary64`

Counts

177 → 105

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	377	7229
1	1026	6511
2	4535	6511
3	5094	6511

prune95.0ms (1.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	102	3	105
Fresh	3	1	4
Picked	0	1	1
Done	1	1	2
Total	106	6	112

Error

0.2b

Counts

112 → 6

Alt Table

Status	Error	Program
	0.9b	(-.f64 (+.f64 (.f64 9/8 (/.f64 (pow.f64 v 6) (.f64 1/2 (.f64 (sqrt.f64 1/2) (.f64 PI.f64 t))))) (+.f64 (.f64 3/4 (/.f64 (.f64 v v) (.f64 (sqrt.f64 1/2) (.f64 PI.f64 t)))) (+.f64 (.f64 15/4 (/.f64 (pow.f64 v 6) (.f64 (sqrt.f64 1/2) (.f64 PI.f64 t)))) (+.f64 (/.f64 (sqrt.f64 1/2) (.f64 PI.f64 t)) (.f64 27/128 (/.f64 (pow.f64 v 6) (.f64 (pow.f64 (sqrt.f64 1/2) 5) (.f64 PI.f64 t)))))))) (+.f64 (.f64 (/.f64 (pow.f64 v 6) (.f64 1/2 (.f64 (sqrt.f64 1/2) (.f64 PI.f64 t)))) 27/16) (+.f64 (.f64 3/4 (/.f64 (pow.f64 v 4) (.f64 (sqrt.f64 1/2) (.f64 PI.f64 t)))) (+.f64 (.f64 4 (.f64 (/.f64 (sqrt.f64 1/2) (.f64 PI.f64 t)) (pow.f64 v 6))) (+.f64 (/.f64 (.f64 9/16 (/.f64 (pow.f64 v 4) (sqrt.f64 1/2))) (.f64 PI.f64 t)) (+.f64 (.f64 4 (+.f64 (.f64 (/.f64 (sqrt.f64 1/2) (.f64 PI.f64 t)) (.f64 v v)) (.f64 (/.f64 (sqrt.f64 1/2) (.f64 PI.f64 t)) (pow.f64 v 4)))) (.f64 (/.f64 (pow.f64 v 6) (.f64 (sqrt.f64 1/2) (.f64 PI.f64 t))) 9)))))))
	0.5b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 t (.f64 PI.f64 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))))) (-.f64 1 (.f64 v v))))
	0.6b	(/.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))) (.f64 (.f64 PI.f64 t) (-.f64 1 (*.f64 v v))))
	0.6b	(.f64 (/.f64 1 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))) (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (.f64 PI.f64 t) (-.f64 1 (.f64 v v)))))
	0.7b	(/.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6)))) (.f64 (.f64 (sqrt.f64 PI.f64) (.f64 t (sqrt.f64 PI.f64))) (-.f64 1 (.f64 v v))))
	0.9b	(.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 PI.f64 (.f64 t (-.f64 1 (.f64 v v))))) (sqrt.f64 (/.f64 1 (-.f64 2 (.f64 (.f64 v v) 6)))))

Compiler

Compiled 3189 to 1988 computations (37.7% saved)

regimes2.6s (31.1%)

Accuracy

Total 0.3b remaining (87.7%)

Threshold costs 0.3b (87.7%)

Compiler

Compiled 74039 to 51132 computations (30.9% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

9×	`*-commutative_binary64`
7×	`+-commutative_binary64`
7×	`sub-neg_binary64`
5×	`distribute-rgt-neg-in_binary64`
5×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	40
1	41	40
2	59	40
3	67	40
4	71	40
5	68	40

end1.0ms (0%)

Compiler: Compiled 28 to 19 computations (32.1% saved)

sample1.2s (14.6%)

Algorithm

1×

intervals

Results

710.0ms	8000×	body	128	valid
1.0ms	14×	body	128	nan
0.0ms	1×	body	128	invalid

Compiler

Compiled 364 to 251 computations (31% saved)

Details

analyze183.0ms (2.2%)

sample34.0ms (0.4%)

simplify60.0ms (0.7%)

prune3.0ms (0%)

localize15.0ms (0.2%)

rewrite185.0ms (2.2%)

series134.0ms (1.6%)

simplify130.0ms (1.6%)

prune108.0ms (1.3%)

localize14.0ms (0.2%)

rewrite153.0ms (1.9%)

series122.0ms (1.5%)

simplify166.0ms (2%)

prune94.0ms (1.1%)

localize22.0ms (0.3%)

rewrite880.0ms (10.7%)

series182.0ms (2.2%)

simplify694.0ms (8.4%)

prune653.0ms (7.9%)

localize14.0ms (0.2%)

rewrite201.0ms (2.4%)

series156.0ms (1.9%)

simplify162.0ms (2%)

prune95.0ms (1.2%)

regimes2.6s (31.1%)

simplify4.0ms (0%)

end1.0ms (0%)

sample1.2s (14.6%)

Profiling