Details

analyze153.0ms (2.7%)

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)

sample26.0ms (0.5%)

Algorithm

1×

intervals

Results

16.0ms

256×

body

128

valid

Compiler

Compiled 63 to 45 computations (28.6% saved)

simplify53.0ms (0.9%)

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

prune4.0ms (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

0.4b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.4b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 PI.f64 t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (*.f64 v v))))

Compiler

Compiled 88 to 62 computations (29.5% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 5 (.f64 v v))
0.2b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 PI.f64 t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (*.f64 v v))))
0.3b	(*.f64 PI.f64 t)
0.5b	(.f64 (.f64 PI.f64 t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))))

rewrite216.0ms (3.8%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

30×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
18×	`associate-*r/_binary64`
16×	`pow1_binary64`
13×	`prod-exp_binary64` `cbrt-unprod_binary64` `add-sqr-sqrt_binary64`
10×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`

Counts

4 → 94

Calls

4 calls:

16.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 PI.f64 t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (*.f64 v v))))
12.0ms	(.f64 (.f64 PI.f64 t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))))
5.0ms	(.f64 5 (.f64 v v))
4.0ms	(*.f64 PI.f64 t)

Compiler

Compiled 3609 to 2138 computations (40.8% saved)

series172.0ms (3%)

Error

0.2b

Counts

4 → 24

Calls

4 calls:

84.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 PI.f64 t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (*.f64 v v))))
42.0ms	(.f64 (.f64 PI.f64 t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))))
9.0ms	(.f64 5 (.f64 v v))
8.0ms	(*.f64 PI.f64 t)

Compiler

Compiled 1799 to 1379 computations (23.3% saved)

simplify141.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

497×	`cancel-sign-sub-inv_binary64`
442×	`associate-l_binary64`
383×	`associate-r_binary64`
346×	`times-frac_binary64`
272×	`associate-/r*_binary64`

Counts

118 → 97

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	257	3734
1	737	3161
2	3539	3150
3	4932	3150
4	4963	3150

prune144.0ms (2.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	89	8	97
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	90	8	98

Error

0.1b

Counts

98 → 8

Alt Table

Status	Error	Program
	0.3b	(/.f64 (+.f64 -1 (.f64 (.f64 v v) 5)) (.f64 PI.f64 (.f64 (.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (+.f64 -1 (*.f64 v v)))))
▶	0.3b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 t (.f64 PI.f64 (sqrt.f64 2))) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v))))
	32.0b	(.f64 (sqrt.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (-.f64 1 (.f64 v v)) (.f64 (.f64 t PI.f64) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))))) (sqrt.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (-.f64 1 (.f64 v v)) (.f64 (.f64 t PI.f64) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))))))))
	0.4b	(/.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (.f64 t PI.f64) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))) (-.f64 1 (.f64 v v)))
	0.4b	(.f64 (/.f64 1 (.f64 (.f64 t PI.f64) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))) (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (-.f64 1 (*.f64 v v))))
	1.4b	(.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (-.f64 1 (.f64 v v)) (.f64 (.f64 t PI.f64) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))))) (cbrt.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (-.f64 1 (.f64 v v)) (.f64 (.f64 t PI.f64) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))))))) (cbrt.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (-.f64 1 (.f64 v v)) (.f64 (.f64 t PI.f64) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))))))))
	41.4b	(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (-.f64 1 (.f64 v v)) (.f64 (.f64 t PI.f64) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v)))))))) 3))
	1.4b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 (cbrt.f64 (.f64 (.f64 t PI.f64) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))) (cbrt.f64 (.f64 (.f64 t PI.f64) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))))) (cbrt.f64 (.f64 (.f64 t PI.f64) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))))) (-.f64 1 (*.f64 v v))))

Compiler

Compiled 3329 to 2105 computations (36.8% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 3 (.f64 v v))
0.2b	(.f64 t (.f64 PI.f64 (sqrt.f64 2)))
0.2b	(.f64 5 (.f64 v v))
0.2b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 t (.f64 PI.f64 (sqrt.f64 2))) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v))))

rewrite217.0ms (3.8%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

39×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
19×	`pow1_binary64` `prod-exp_binary64` `cbrt-unprod_binary64`
11×	`add-sqr-sqrt_binary64`
9×	`add-cube-cbrt_binary64` `-un-lft-identity_binary64` `pow-prod-down_binary64` `associate-l*_binary64`
8×	`associate-*r/_binary64` `associate-/r/_binary64`

Counts

4 → 94

Calls

4 calls:

18.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 t (.f64 PI.f64 (sqrt.f64 2))) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v))))
6.0ms	(.f64 t (.f64 PI.f64 (sqrt.f64 2)))
5.0ms	(.f64 3 (.f64 v v))
5.0ms	(.f64 5 (.f64 v v))

Compiler

Compiled 3585 to 2268 computations (36.7% saved)

series125.0ms (2.2%)

Error

0.1b

Counts

4 → 18

Calls

4 calls:

80.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 t (.f64 PI.f64 (sqrt.f64 2))) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v))))
12.0ms	(.f64 t (.f64 PI.f64 (sqrt.f64 2)))
11.0ms	(.f64 3 (.f64 v v))
9.0ms	(.f64 5 (.f64 v v))

Compiler

Compiled 1298 to 1022 computations (21.3% saved)

simplify102.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

406×	`associate-l_binary64`
369×	`distribute-rgt-neg-in_binary64`
364×	`cancel-sign-sub-inv_binary64`
338×	`times-frac_binary64`
314×	`associate-r_binary64`

Counts

112 → 89

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	241	3467
1	683	2841
2	3151	2830
3	5066	2830

prune138.0ms (2.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	88	1	89
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	88	9	97

Error

0.1b

Counts

97 → 9

Alt Table

Status	Error	Program
	41.4b	(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (-.f64 1 (.f64 v v)) (.f64 (.f64 t (.f64 PI.f64 (sqrt.f64 2))) (sqrt.f64 (-.f64 1 (.f64 (*.f64 v v) 3)))))) 3))
▶	0.3b	(/.f64 (+.f64 -1 (.f64 (.f64 v v) 5)) (.f64 PI.f64 (.f64 (.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (+.f64 -1 (*.f64 v v)))))
✓	0.3b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 t (.f64 PI.f64 (sqrt.f64 2))) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v))))
	32.0b	(.f64 (sqrt.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (-.f64 1 (.f64 v v)) (.f64 (.f64 t PI.f64) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))))) (sqrt.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (-.f64 1 (.f64 v v)) (.f64 (.f64 t PI.f64) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))))))))
	0.4b	(/.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (.f64 t PI.f64) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))) (-.f64 1 (.f64 v v)))
	0.4b	(.f64 (/.f64 1 (.f64 (.f64 t PI.f64) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))) (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (-.f64 1 (*.f64 v v))))
	1.4b	(.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (-.f64 1 (.f64 v v)) (.f64 (.f64 t PI.f64) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))))) (cbrt.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (-.f64 1 (.f64 v v)) (.f64 (.f64 t PI.f64) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))))))) (cbrt.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (-.f64 1 (.f64 v v)) (.f64 (.f64 t PI.f64) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))))))))
	41.4b	(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (-.f64 1 (.f64 v v)) (.f64 (.f64 t PI.f64) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v)))))))) 3))
	1.4b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 (cbrt.f64 (.f64 (.f64 t PI.f64) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))) (cbrt.f64 (.f64 (.f64 t PI.f64) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))))) (cbrt.f64 (.f64 (.f64 t PI.f64) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))))) (-.f64 1 (*.f64 v v))))

Compiler

Compiled 2983 to 1973 computations (33.9% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 v v) 5)
0.2b	(/.f64 (+.f64 -1 (.f64 (.f64 v v) 5)) (.f64 PI.f64 (.f64 (.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (+.f64 -1 (*.f64 v v)))))
0.3b	(.f64 PI.f64 (.f64 (.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (+.f64 -1 (*.f64 v v))))
0.4b	(.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))

rewrite241.0ms (4.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

48×	`associate-*r/_binary64`
34×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
20×	`pow1_binary64`
16×	`prod-exp_binary64` `cbrt-unprod_binary64`
14×	`sqrt-div_binary64`

Counts

4 → 108

Calls

4 calls:

16.0ms	(/.f64 (+.f64 -1 (.f64 (.f64 v v) 5)) (.f64 PI.f64 (.f64 (.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (+.f64 -1 (*.f64 v v)))))
14.0ms	(.f64 PI.f64 (.f64 (.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (+.f64 -1 (*.f64 v v))))
8.0ms	(.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))
5.0ms	(.f64 (.f64 v v) 5)

Compiler

Compiled 4426 to 2747 computations (37.9% saved)

series222.0ms (3.9%)

Error

0.1b

Counts

4 → 30

Calls

4 calls:

82.0ms	(/.f64 (+.f64 -1 (.f64 (.f64 v v) 5)) (.f64 PI.f64 (.f64 (.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (+.f64 -1 (*.f64 v v)))))
54.0ms	(.f64 PI.f64 (.f64 (.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (+.f64 -1 (*.f64 v v))))
38.0ms	(.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))
8.0ms	(.f64 (.f64 v v) 5)

Compiler

Compiled 2313 to 1814 computations (21.6% saved)

simplify136.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

603×	`associate-r_binary64`
601×	`associate-l_binary64`
421×	`cancel-sign-sub-inv_binary64`
298×	`*-commutative_binary64`
210×	`associate-/r*_binary64`

Counts

138 → 104

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	310	4954
1	899	4249
2	3907	4238
3	5175	4238

prune149.0ms (2.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	101	3	104
Fresh	4	3	7
Picked	1	0	1
Done	0	1	1
Total	106	7	113

Error

0.0b

Counts

113 → 7

Alt Table

Status	Error	Program
	0.4b	(.f64 (/.f64 (+.f64 -1 (.f64 (.f64 v v) 5)) (.f64 PI.f64 (.f64 (+.f64 (.f64 v v) -1) (.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 (pow.f64 v 4) 9)))))))) (sqrt.f64 (+.f64 1 (.f64 3 (*.f64 v v)))))
✓	0.3b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 t (.f64 PI.f64 (sqrt.f64 2))) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v))))
	32.0b	(.f64 (sqrt.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (-.f64 1 (.f64 v v)) (.f64 (.f64 t PI.f64) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))))) (sqrt.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (-.f64 1 (.f64 v v)) (.f64 (.f64 t PI.f64) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))))))))
	0.4b	(.f64 (/.f64 1 (.f64 (.f64 t PI.f64) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))) (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (-.f64 1 (*.f64 v v))))
	1.4b	(.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (-.f64 1 (.f64 v v)) (.f64 (.f64 t PI.f64) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))))) (cbrt.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (-.f64 1 (.f64 v v)) (.f64 (.f64 t PI.f64) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))))))) (cbrt.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (-.f64 1 (.f64 v v)) (.f64 (.f64 t PI.f64) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))))))))
	41.4b	(cbrt.f64 (pow.f64 (/.f64 (+.f64 -1 (.f64 (.f64 v v) 5)) (.f64 PI.f64 (.f64 (+.f64 (.f64 v v) -1) (.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))))))) 3))
▶	0.3b	(.f64 (/.f64 1 PI.f64) (/.f64 (+.f64 -1 (.f64 (.f64 v v) 5)) (.f64 (+.f64 (.f64 v v) -1) (.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v)))))))))

Compiler

Compiled 3298 to 2162 computations (34.4% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 v v) 5)
0.3b	(/.f64 (+.f64 -1 (.f64 (.f64 v v) 5)) (.f64 (+.f64 (.f64 v v) -1) (.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))))
0.4b	(.f64 (/.f64 1 PI.f64) (/.f64 (+.f64 -1 (.f64 (.f64 v v) 5)) (.f64 (+.f64 (.f64 v v) -1) (.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v)))))))))
0.4b	(.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))

rewrite305.0ms (5.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

80×	`add-exp-log_binary64`
52×	`add-cbrt-cube_binary64`
35×	`prod-exp_binary64`
33×	`associate-*r/_binary64`
28×	`add-sqr-sqrt_binary64`

Counts

4 → 140

Calls

4 calls:

24.0ms	(.f64 (/.f64 1 PI.f64) (/.f64 (+.f64 -1 (.f64 (.f64 v v) 5)) (.f64 (+.f64 (.f64 v v) -1) (.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v)))))))))
15.0ms	(/.f64 (+.f64 -1 (.f64 (.f64 v v) 5)) (.f64 (+.f64 (.f64 v v) -1) (.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))))
8.0ms	(.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))
6.0ms	(.f64 (.f64 v v) 5)

Compiler

Compiled 6264 to 4025 computations (35.7% saved)

series246.0ms (4.4%)

Error

0.0b

Counts

4 → 30

Calls

4 calls:

86.0ms	(.f64 (/.f64 1 PI.f64) (/.f64 (+.f64 -1 (.f64 (.f64 v v) 5)) (.f64 (+.f64 (.f64 v v) -1) (.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v)))))))))
75.0ms	(/.f64 (+.f64 -1 (.f64 (.f64 v v) 5)) (.f64 (+.f64 (.f64 v v) -1) (.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))))
37.0ms	(.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))
9.0ms	(.f64 (.f64 v v) 5)

Compiler

Compiled 2276 to 1843 computations (19% saved)

simplify170.0ms (3%)

Algorithm

1×	egg-herbie

Rules

456×	`associate-r_binary64`
445×	`times-frac_binary64`
427×	`associate-l_binary64`
320×	`associate-/r*_binary64`
264×	`*-commutative_binary64`

Counts

170 → 127

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	343	7139
1	954	5934
2	4298	5925
3	5089	5925

prune147.0ms (2.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	123	4	127
Fresh	3	2	5
Picked	1	0	1
Done	0	1	1
Total	127	7	134

Error

0.0b

Counts

134 → 7

Alt Table

Status	Error	Program
	0.6b	(.f64 (sqrt.f64 (/.f64 1 PI.f64)) (.f64 (/.f64 (+.f64 -1 (.f64 (.f64 v v) 5)) (.f64 (+.f64 (.f64 v v) -1) (.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))))) (sqrt.f64 (/.f64 1 PI.f64))))
	0.3b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 t (.f64 PI.f64 (sqrt.f64 2))) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v))))
	0.4b	(.f64 (/.f64 1 (.f64 (.f64 t PI.f64) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))) (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (-.f64 1 (*.f64 v v))))
	41.4b	(cbrt.f64 (pow.f64 (/.f64 (+.f64 -1 (.f64 (.f64 v v) 5)) (.f64 PI.f64 (.f64 (+.f64 (.f64 v v) -1) (.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))))))) 3))
	0.3b	(/.f64 (/.f64 (+.f64 -1 (.f64 (.f64 v v) 5)) PI.f64) (.f64 (+.f64 (.f64 v v) -1) (.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))))
	0.4b	(/.f64 (/.f64 (+.f64 -1 (.f64 (.f64 v v) 5)) (.f64 (+.f64 (.f64 v v) -1) (.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))))) PI.f64)
	0.4b	(.f64 (/.f64 1 (sqrt.f64 PI.f64)) (/.f64 (/.f64 (+.f64 -1 (.f64 (.f64 v v) 5)) (.f64 (+.f64 (.f64 v v) -1) (.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v)))))))) (sqrt.f64 PI.f64)))

Compiler

Compiled 3370 to 2229 computations (33.9% saved)

regimes1.5s (26.5%)

Accuracy

Total 0.3b remaining (85.7%)

Threshold costs 0.3b (85.7%)

Compiler

Compiled 36038 to 25412 computations (29.5% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

12×	`*-commutative_binary64`
9×	`+-commutative_binary64`
8×	`sub-neg_binary64`
6×	`distribute-rgt-neg-in_binary64`
5×	`neg-mul-1_binary64` `neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	68
1	52	68
2	74	68
3	84	68
4	89	68
5	85	68

end1.0ms (0%)

Compiler: Compiled 46 to 31 computations (32.6% saved)

sample977.0ms (17.3%)

Algorithm

1×

intervals

Results

530.0ms	8000×	body	128	valid
0.0ms	7×	body	128	nan

Compiler

Compiled 309 to 219 computations (29.1% saved)

Details

analyze153.0ms (2.7%)

sample26.0ms (0.5%)

simplify53.0ms (0.9%)

prune4.0ms (0.1%)

localize15.0ms (0.3%)

rewrite216.0ms (3.8%)

series172.0ms (3%)

simplify141.0ms (2.5%)

prune144.0ms (2.5%)

localize16.0ms (0.3%)

rewrite217.0ms (3.8%)

series125.0ms (2.2%)

simplify102.0ms (1.8%)

prune138.0ms (2.4%)

localize17.0ms (0.3%)

rewrite241.0ms (4.3%)

series222.0ms (3.9%)

simplify136.0ms (2.4%)

prune149.0ms (2.6%)

localize16.0ms (0.3%)

rewrite305.0ms (5.4%)

series246.0ms (4.4%)

simplify170.0ms (3%)

prune147.0ms (2.6%)

regimes1.5s (26.5%)

simplify5.0ms (0.1%)

end1.0ms (0%)

sample977.0ms (17.3%)

Profiling