Details

analyze145.0ms (1.9%)

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)

sample25.0ms (0.3%)

Algorithm

1×

intervals

Results

16.0ms

256×

body

128

valid

Compiler

Compiled 63 to 45 computations (28.6% saved)

simplify54.0ms (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

prune9.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.4b

Counts

2 → 2

Alt Table

Status	Error	Program
	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)))))
▶	0.4b	(/.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))))

Status

Error

Program

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)))))

▶

0.4b

(/.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 144 to 102 computations (29.2% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite201.0ms (2.6%)

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))))
10.0ms	(.f64 (.f64 PI.f64 t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))))
6.0ms	(.f64 3 (.f64 v v))
4.0ms	(*.f64 PI.f64 t)

Compiler

Compiled 3609 to 2138 computations (40.8% saved)

series169.0ms (2.2%)

Error

0.2b

Counts

4 → 24

Calls

4 calls:

80.0ms	(/.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 3 (.f64 v v))
8.0ms	(*.f64 PI.f64 t)

Compiler

Compiled 1799 to 1379 computations (23.3% saved)

simplify134.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

507×	`cancel-sign-sub-inv_binary64`
434×	`associate-l_binary64`
372×	`associate-r_binary64`
346×	`times-frac_binary64`
272×	`associate-/r*_binary64`

Counts

118 → 89

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	257	3707
1	733	3152
2	3507	3150
3	4899	3150
4	4960	3150

prune127.0ms (1.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	80	9	89
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	82	9	91

Error

0.1b

Counts

91 → 9

Alt Table

Status	Error	Program
	32.9b	(.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))))))))))
	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))))))))))
	41.5b	(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))
▶	0.4b	(/.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)))))
	35.4b	(exp.f64 (log.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))))))))))
	0.5b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 (.f64 t PI.f64) (.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (cbrt.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))))) (cbrt.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))) (-.f64 1 (*.f64 v v))))
	0.6b	(-.f64 (/.f64 1 (.f64 t (.f64 PI.f64 (sqrt.f64 2)))) (.f64 5/2 (/.f64 (.f64 v v) (.f64 t (.f64 PI.f64 (sqrt.f64 2))))))
	0.6b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 (.f64 t PI.f64) (sqrt.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))) (sqrt.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))) (-.f64 1 (*.f64 v v))))
	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 3224 to 2064 computations (36% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 3 (.f64 v v))
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)))))
0.4b	(.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))))))

rewrite238.0ms (3.1%)

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

Compiler

Compiled 4396 to 2728 computations (37.9% saved)

series226.0ms (3%)

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)))))
53.0ms	(.f64 PI.f64 (.f64 (.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (+.f64 -1 (*.f64 v v))))
36.0ms	(.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))
9.0ms	(.f64 3 (.f64 v v))

Compiler

Compiled 2313 to 1814 computations (21.6% saved)

simplify126.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

569×	`associate-r_binary64`
559×	`associate-l_binary64`
431×	`cancel-sign-sub-inv_binary64`
294×	`*-commutative_binary64`
210×	`associate-/r*_binary64`

Counts

138 → 105

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	308	4925
1	886	4238
2	3782	4236
3	5032	4236

prune159.0ms (2.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	104	1	105
Fresh	2	6	8
Picked	0	1	1
Done	0	0	0
Total	106	8	114

Error

0.1b

Counts

114 → 8

Alt Table

Status	Error	Program
	32.9b	(.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))))))))))
	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))))))))))
	41.5b	(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))
✓	0.4b	(/.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)))))
	0.5b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 (.f64 t PI.f64) (.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (cbrt.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))))) (cbrt.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))) (-.f64 1 (*.f64 v v))))
	0.6b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 (.f64 t PI.f64) (sqrt.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))) (sqrt.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))) (-.f64 1 (*.f64 v v))))
	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))))
▶	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 3544 to 2329 computations (34.3% saved)

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 3 (.f64 v v))
0.2b	(/.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))))))
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)))))))))

rewrite302.0ms (4%)

Algorithm

1×	rewrite-expression-head

Error

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:

25.0ms	(.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 3 (.f64 v v))

Compiler

Compiled 6232 to 4004 computations (35.8% saved)

series243.0ms (3.2%)

Error

0.1b

Counts

4 → 30

Calls

4 calls:

82.0ms	(.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)))))))))
72.0ms	(/.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 3 (.f64 v v))

Compiler

Compiled 2276 to 1843 computations (19% saved)

simplify162.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

416×	`associate-r_binary64`
415×	`times-frac_binary64`
385×	`associate-l_binary64`
311×	`associate-/r*_binary64`
253×	`*-commutative_binary64`

Counts

170 → 154

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	330	7095
1	919	5908
2	4045	5906
3	5041	5906

prune212.0ms (2.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	150	4	154
Fresh	3	3	6
Picked	1	0	1
Done	1	0	1
Total	155	7	162

Error

Counts

162 → 7

Alt Table

Status	Error	Program
	0.6b	(.f64 (sqrt.f64 (/.f64 1 PI.f64)) (.f64 (/.f64 (-.f64 (.f64 (.f64 v v) 5) 1) (.f64 (-.f64 (.f64 v v) 1) (.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 (.f64 v v) 3))))))) (sqrt.f64 (/.f64 1 PI.f64))))
▶	0.2b	(/.f64 (/.f64 (-.f64 (.f64 (.f64 v v) 5) 1) PI.f64) (.f64 (+.f64 (.f64 v v) -1) (.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))))
	0.5b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 (.f64 t PI.f64) (.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (cbrt.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))))) (cbrt.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))) (-.f64 1 (*.f64 v v))))
	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 (log.f64 (exp.f64 (.f64 (*.f64 v v) 3))))))))))
	0.8b	(.f64 (/.f64 1 PI.f64) (/.f64 (+.f64 -1 (.f64 (.f64 v v) 5)) (.f64 (+.f64 (.f64 v v) -1) (.f64 (.f64 t (sqrt.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 (.f64 v v) 3)))))) (sqrt.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))))))))
	0.6b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 (.f64 t PI.f64) (sqrt.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))) (sqrt.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))) (-.f64 1 (*.f64 v v))))
	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 4819 to 3200 computations (33.6% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 v v) 5)
0.2b	(.f64 3 (.f64 v v))
0.4b	(.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))
0.4b	(/.f64 (/.f64 (-.f64 (.f64 (.f64 v v) 5) 1) PI.f64) (.f64 (+.f64 (.f64 v v) -1) (.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))))

rewrite249.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

37×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
31×	`times-frac_binary64`
26×	`add-sqr-sqrt_binary64`
22×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
18×	`associate-*r/_binary64`

Counts

4 → 118

Calls

4 calls:

21.0ms	(/.f64 (/.f64 (-.f64 (.f64 (.f64 v v) 5) 1) PI.f64) (.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 3 (.f64 v v))
6.0ms	(.f64 (.f64 v v) 5)

Compiler

Compiled 4639 to 2878 computations (38% saved)

series158.0ms (2.1%)

Error

Counts

4 → 24

Calls

4 calls:

79.0ms	(/.f64 (/.f64 (-.f64 (.f64 (.f64 v v) 5) 1) PI.f64) (.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)
9.0ms	(.f64 3 (.f64 v v))

Compiler

Compiled 1771 to 1379 computations (22.1% saved)

simplify190.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

359×	`associate-l_binary64`
337×	`associate-r_binary64`
303×	`associate-/r*_binary64`
271×	`cancel-sign-sub-inv_binary64`
210×	`div-sub_binary64`

Counts

142 → 118

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	318	4942
1	836	4261
2	3504	4250
3	4911	4250
4	4996	4250
5	4948	4250

prune148.0ms (1.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	116	2	118
Fresh	2	4	6
Picked	1	0	1
Done	0	0	0
Total	119	6	125

Error

Counts

125 → 6

Alt Table

Status	Error	Program
	0.4b	(/.f64 (-.f64 (.f64 (.f64 v v) 5) 1) (.f64 PI.f64 (.f64 (-.f64 (.f64 v v) 1) (.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 (*.f64 v v) 3))))))))
	0.6b	(.f64 (sqrt.f64 (/.f64 1 PI.f64)) (.f64 (/.f64 (-.f64 (.f64 (.f64 v v) 5) 1) (.f64 (-.f64 (.f64 v v) 1) (.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 (.f64 v v) 3))))))) (sqrt.f64 (/.f64 1 PI.f64))))
	0.2b	(/.f64 (/.f64 (-.f64 (.f64 (.f64 v v) 5) 1) (.f64 PI.f64 (-.f64 (.f64 v v) 1))) (.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))))
	0.5b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 (.f64 t PI.f64) (.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (cbrt.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))))) (cbrt.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))) (-.f64 1 (*.f64 v v))))
	0.8b	(.f64 (/.f64 1 PI.f64) (/.f64 (+.f64 -1 (.f64 (.f64 v v) 5)) (.f64 (+.f64 (.f64 v v) -1) (.f64 (.f64 t (sqrt.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 (.f64 v v) 3)))))) (sqrt.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))))))))
	0.6b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 (.f64 t PI.f64) (sqrt.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))) (sqrt.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))) (-.f64 1 (*.f64 v v))))

Compiler

Compiled 3437 to 2209 computations (35.7% saved)

regimes3.3s (43.2%)

Accuracy

Total 0.2b remaining (84%)

Threshold costs 0.2b (84%)

Compiler

Compiled 70876 to 50012 computations (29.4% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	43
1	37	43
2	45	43
3	52	43
4	57	43
5	60	43
6	61	43
7	58	43

end1.0ms (0%)

Compiler: Compiled 30 to 21 computations (30% saved)

sample969.0ms (12.7%)

Algorithm

1×

intervals

Results

519.0ms	8000×	body	128	valid
1.0ms	15×	body	128	nan

Compiler

Compiled 304 to 219 computations (28% saved)

Details

analyze145.0ms (1.9%)

sample25.0ms (0.3%)

simplify54.0ms (0.7%)

prune9.0ms (0.1%)

localize15.0ms (0.2%)

rewrite201.0ms (2.6%)

series169.0ms (2.2%)

simplify134.0ms (1.8%)

prune127.0ms (1.7%)

localize15.0ms (0.2%)

rewrite238.0ms (3.1%)

series226.0ms (3%)

simplify126.0ms (1.7%)

prune159.0ms (2.1%)

localize20.0ms (0.3%)

rewrite302.0ms (4%)

series243.0ms (3.2%)

simplify162.0ms (2.1%)

prune212.0ms (2.8%)

localize15.0ms (0.2%)

rewrite249.0ms (3.3%)

series158.0ms (2.1%)

simplify190.0ms (2.5%)

prune148.0ms (1.9%)

regimes3.3s (43.2%)

simplify5.0ms (0.1%)

end1.0ms (0%)

sample969.0ms (12.7%)

Profiling