Details

analyze431.0ms (4.8%)

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)

sample59.0ms (0.7%)

Algorithm

1×

intervals

Results

44.0ms

256×

body

128

valid

Compiler

Compiled 63 to 45 computations (28.6% saved)

simplify54.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

826×	`times-frac_binary64`
592×	`fma-def_binary64`
509×	`associate-/r*_binary64`
353×	`associate-/l*_binary64`
343×	`div-sub_binary64`

Counts

1 → 2

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	43
1	58	43
2	179	38
3	824	36
4	3882	36
5	5029	36

prune7.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	2	3

Error

0.5b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.5b	(/.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 114 to 77 computations (32.5% saved)

localize27.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 3 (.f64 v v))
✓	0.2b	(*.f64 (PI.f64) t)
✓	0.4b	(.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.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))))

series367.0ms (4%)

Counts

4 → 60

Calls

4 calls:

292.0ms	(/.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))))
64.0ms	(.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))))
5.0ms	(*.f64 (PI.f64) t)
4.0ms	(.f64 3 (.f64 v v))

rewrite70.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`add-cbrt-cube_binary64`
30×	`add-exp-log_binary64`
18×	`associate-*r/_binary64`
16×	`pow1_binary64`
13×	`add-sqr-sqrt_binary64`

Counts

4 → 102

Calls

4 calls:

25.0ms	(/.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))))
15.0ms	(.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))))
8.0ms	(.f64 3 (.f64 v v))
5.0ms	(*.f64 (PI.f64) t)

simplify229.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

859×	`fma-def_binary64`
494×	`associate-l_binary64`
478×	`associate-r_binary64`
436×	`times-frac_binary64`
397×	`associate-/r*_binary64`

Counts

162 → 205

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	339	5931
1	1038	5329
2	4896	5315
3	5642	5315

prune527.0ms (5.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	197	8	205
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	197	9	206

Error

0.3b

Counts

206 → 9

Alt Table

Status	Error	Program
	32.6b	(.f64 (sqrt.f64 (/.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))))) (sqrt.f64 (/.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 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 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 t (.f64 (fma.f64 v (neg.f64 v) 1) (.f64 (PI.f64) (sqrt.f64 2))))) (sqrt.f64 (/.f64 1 (-.f64 1 (.f64 (.f64 v v) 3)))))
	0.9b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 (.f64 (PI.f64) t) (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))))
	43.8b	(cbrt.f64 (/.f64 (.f64 (.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 1 (.f64 5 (.f64 v v)))) (-.f64 1 (.f64 5 (.f64 v v)))) (.f64 (.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) (.f64 (.f64 t t) t)) (.f64 (.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))) (.f64 (.f64 (-.f64 1 (.f64 v v)) (-.f64 1 (.f64 v v))) (-.f64 1 (*.f64 v v))))))
	43.9b	(cbrt.f64 (/.f64 (.f64 (.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 1 (.f64 5 (.f64 v v)))) (-.f64 1 (.f64 5 (.f64 v v)))) (.f64 (.f64 (.f64 (.f64 (.f64 (PI.f64) t) (.f64 (PI.f64) t)) (.f64 (PI.f64) t)) (.f64 (.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))) (.f64 (.f64 (-.f64 1 (.f64 v v)) (-.f64 1 (.f64 v v))) (-.f64 1 (*.f64 v v))))))
	43.9b	(cbrt.f64 (/.f64 (.f64 (.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 1 (.f64 5 (.f64 v v)))) (-.f64 1 (.f64 5 (.f64 v v)))) (.f64 (.f64 (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (.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)))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (*.f64 v v))))))
	1.6b	(.f64 (.f64 (cbrt.f64 (/.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))))) (cbrt.f64 (/.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)))))) (cbrt.f64 (/.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 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (PI.f64) (.f64 t (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))) (-.f64 1 (*.f64 v v))))

Compiler

Compiled 9912 to 6439 computations (35% saved)

localize39.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (.f64 v v) 5)
✓	0.2b	(.f64 (.f64 v v) 3)
✓	0.2b	(.f64 t (.f64 (fma.f64 v (neg.f64 v) 1) (*.f64 (PI.f64) (sqrt.f64 2))))
✓	0.4b	(/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 t (.f64 (fma.f64 v (neg.f64 v) 1) (*.f64 (PI.f64) (sqrt.f64 2)))))

series215.0ms (2.4%)

Counts

4 → 72

Calls

4 calls:

152.0ms	(/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 t (.f64 (fma.f64 v (neg.f64 v) 1) (*.f64 (PI.f64) (sqrt.f64 2)))))
45.0ms	(.f64 t (.f64 (fma.f64 v (neg.f64 v) 1) (*.f64 (PI.f64) (sqrt.f64 2))))
13.0ms	(.f64 (.f64 v v) 5)
5.0ms	(.f64 (.f64 v v) 3)

rewrite58.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

37×	`add-cbrt-cube_binary64`
37×	`add-exp-log_binary64`
23×	`pow1_binary64`
18×	`cbrt-unprod_binary64`
18×	`prod-exp_binary64`

Counts

4 → 95

Calls

4 calls:

16.0ms	(/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 t (.f64 (fma.f64 v (neg.f64 v) 1) (*.f64 (PI.f64) (sqrt.f64 2)))))
14.0ms	(.f64 t (.f64 (fma.f64 v (neg.f64 v) 1) (*.f64 (PI.f64) (sqrt.f64 2))))
8.0ms	(.f64 (.f64 v v) 5)
7.0ms	(.f64 (.f64 v v) 3)

simplify235.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

450×	`fma-def_binary64`
436×	`distribute-rgt-in_binary64`
319×	`associate-l_binary64`
314×	`exp-prod_binary64`
299×	`associate-r_binary64`

Counts

167 → 149

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	211	4112
1	574	3399
2	2347	3282
3	4789	3282
4	5217	3282

prune416.0ms (4.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	145	4	149
Fresh	5	2	7
Picked	1	0	1
Done	1	0	1
Total	152	6	158

Error

0.0b

Counts

158 → 6

Alt Table

Status	Error	Program
▶	0.3b	(.f64 (.f64 (/.f64 1 t) (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (fma.f64 v (neg.f64 v) 1) (.f64 (PI.f64) (sqrt.f64 2))))) (sqrt.f64 (/.f64 1 (-.f64 1 (.f64 (.f64 v v) 3)))))
	0.9b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 (.f64 (PI.f64) t) (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))))
	0.4b	(.f64 (/.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) t) (.f64 (fma.f64 v (neg.f64 v) 1) (.f64 (PI.f64) (sqrt.f64 2)))) (sqrt.f64 (/.f64 1 (-.f64 1 (.f64 (.f64 v v) 3)))))
	43.8b	(.f64 (cbrt.f64 (/.f64 (.f64 (.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (-.f64 1 (.f64 (.f64 v v) 5))) (-.f64 1 (.f64 (.f64 v v) 5))) (.f64 (.f64 (.f64 t t) t) (.f64 (.f64 (.f64 (fma.f64 v (neg.f64 v) 1) (fma.f64 v (neg.f64 v) 1)) (fma.f64 v (neg.f64 v) 1)) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2)) (sqrt.f64 2))))))) (sqrt.f64 (/.f64 1 (-.f64 1 (.f64 (.f64 v v) 3)))))
	1.6b	(.f64 (.f64 (cbrt.f64 (/.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))))) (cbrt.f64 (/.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)))))) (cbrt.f64 (/.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))))))
	0.4b	(.f64 (/.f64 1 (/.f64 t (/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 (PI.f64) (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))))))) (sqrt.f64 (/.f64 1 (-.f64 1 (.f64 (*.f64 v v) 3)))))

Compiler

Compiled 6457 to 4328 computations (33% saved)

localize41.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (fma.f64 v (neg.f64 v) 1) (.f64 (PI.f64) (sqrt.f64 2))))
	0.1b	(.f64 (.f64 v v) 5)
	0.2b	(.f64 (.f64 v v) 3)
✓	0.3b	(.f64 (/.f64 1 t) (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (fma.f64 v (neg.f64 v) 1) (*.f64 (PI.f64) (sqrt.f64 2)))))

series238.0ms (2.6%)

Counts

2 → 36

Calls

2 calls:

213.0ms

(*.f64 (/.f64 1 t) (/.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)) (*.f64 (fma.f64 v (neg.f64 v) 1) (*.f64 (PI.f64) (sqrt.f64 2)))))

24.0ms

(/.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)) (*.f64 (fma.f64 v (neg.f64 v) 1) (*.f64 (PI.f64) (sqrt.f64 2))))

rewrite63.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

71×	`add-exp-log_binary64`
43×	`add-cbrt-cube_binary64`
31×	`prod-exp_binary64`
23×	`div-exp_binary64`
20×	`add-sqr-sqrt_binary64`

Counts

2 → 89

Calls

2 calls:

25.0ms

(*.f64 (/.f64 1 t) (/.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)) (*.f64 (fma.f64 v (neg.f64 v) 1) (*.f64 (PI.f64) (sqrt.f64 2)))))

13.0ms

(/.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)) (*.f64 (fma.f64 v (neg.f64 v) 1) (*.f64 (PI.f64) (sqrt.f64 2))))

simplify196.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

552×	`fma-def_binary64`
392×	`distribute-rgt-in_binary64`
251×	`associate-/r*_binary64`
249×	`times-frac_binary64`
225×	`associate-r_binary64`

Counts

125 → 168

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	215	5232
1	634	4293
2	2621	4059
3	5044	4059

prune537.0ms (5.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	212	2	214
Fresh	3	2	5
Picked	1	0	1
Done	0	0	0
Total	216	4	220

Error

Counts

220 → 4

Alt Table

Status	Error	Program
	0.4b	(.f64 (/.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) t) (.f64 (fma.f64 v (neg.f64 v) 1) (.f64 (PI.f64) (sqrt.f64 2)))) (sqrt.f64 (/.f64 1 (-.f64 1 (.f64 (.f64 v v) 3)))))
	32.6b	(.f64 (.f64 (/.f64 1 (sqrt.f64 t)) (/.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 (PI.f64) (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))))) (sqrt.f64 t))) (sqrt.f64 (/.f64 1 (-.f64 1 (.f64 (.f64 v v) 3)))))
	0.9b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 (.f64 (PI.f64) t) (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))))
▶	0.1b	(.f64 (/.f64 (.f64 1 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (fma.f64 v (neg.f64 v) 1) (.f64 (PI.f64) (sqrt.f64 2))))) t) (sqrt.f64 (/.f64 1 (-.f64 1 (.f64 (.f64 v v) 3)))))

Compiler

Compiled 9361 to 6439 computations (31.2% saved)

localize40.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (fma.f64 v (neg.f64 v) 1) (.f64 (PI.f64) (sqrt.f64 2))))
✓	0.1b	(/.f64 (.f64 1 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (fma.f64 v (neg.f64 v) 1) (*.f64 (PI.f64) (sqrt.f64 2))))) t)
	0.1b	(.f64 (.f64 v v) 5)
	0.2b	(.f64 (.f64 v v) 3)

series154.0ms (1.7%)

Counts

1 → 24

Calls

1 calls:

153.0ms

(/.f64 (*.f64 1 (/.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)) (*.f64 (fma.f64 v (neg.f64 v) 1) (*.f64 (PI.f64) (sqrt.f64 2))))) t)

rewrite29.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

35×	`add-exp-log_binary64`
21×	`add-cbrt-cube_binary64`
15×	`div-exp_binary64`
14×	`prod-exp_binary64`
8×	`cbrt-undiv_binary64`

Counts

1 → 34

Calls

1 calls:

19.0ms

(/.f64 (*.f64 1 (/.f64 (-.f64 1 (*.f64 (*.f64 v v) 5)) (*.f64 (fma.f64 v (neg.f64 v) 1) (*.f64 (PI.f64) (sqrt.f64 2))))) t)

simplify173.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

608×	`associate-*l/_binary64`
440×	`associate-/r/_binary64`
222×	`distribute-rgt-in_binary64`
221×	`fma-def_binary64`
210×	`distribute-lft-in_binary64`

Counts

58 → 67

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	147	2486
1	419	2019
2	1737	1922
3	4977	1922
4	4996	1922

prune438.0ms (4.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	173	0	173
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	173	4	177

Error

Counts

177 → 4

Alt Table

Status	Error	Program
	0.4b	(.f64 (/.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) t) (.f64 (fma.f64 v (neg.f64 v) 1) (.f64 (PI.f64) (sqrt.f64 2)))) (sqrt.f64 (/.f64 1 (-.f64 1 (.f64 (.f64 v v) 3)))))
	32.6b	(.f64 (.f64 (/.f64 1 (sqrt.f64 t)) (/.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 (PI.f64) (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))))) (sqrt.f64 t))) (sqrt.f64 (/.f64 1 (-.f64 1 (.f64 (.f64 v v) 3)))))
	0.9b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 (.f64 (PI.f64) t) (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))))
✓	0.1b	(.f64 (/.f64 (.f64 1 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (fma.f64 v (neg.f64 v) 1) (.f64 (PI.f64) (sqrt.f64 2))))) t) (sqrt.f64 (/.f64 1 (-.f64 1 (.f64 (.f64 v v) 3)))))

Compiler

Compiled 7309 to 5030 computations (31.2% saved)

regimes2.4s (27%)

Accuracy

Total 0.1b remaining (85.6%)

Threshold costs 0.1b (85.6%)

Counts

154 → 1

Compiler

Compiled 36019 to 26502 computations (26.4% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	46
1	39	46
2	52	46
3	58	46
4	61	46
5	59	46

end1.0ms (0%)

Compiler: Compiled 32 to 24 computations (25% saved)

sample2.0s (21.7%)

Algorithm

1×

intervals

Results

1.3s	8000×	body	128	valid
2.0ms	11×	body	128	nan

Compiler

Compiled 213 to 159 computations (25.4% saved)

Details

analyze431.0ms (4.8%)

sample59.0ms (0.7%)

simplify54.0ms (0.6%)

prune7.0ms (0.1%)

localize27.0ms (0.3%)

series367.0ms (4%)

rewrite70.0ms (0.8%)

simplify229.0ms (2.5%)

prune527.0ms (5.8%)

localize39.0ms (0.4%)

series215.0ms (2.4%)

rewrite58.0ms (0.6%)

simplify235.0ms (2.6%)

prune416.0ms (4.6%)

localize41.0ms (0.4%)

series238.0ms (2.6%)

rewrite63.0ms (0.7%)

simplify196.0ms (2.2%)

prune537.0ms (5.9%)

localize40.0ms (0.4%)

series154.0ms (1.7%)

rewrite29.0ms (0.3%)

simplify173.0ms (1.9%)

prune438.0ms (4.8%)

regimes2.4s (27%)

simplify6.0ms (0.1%)

end1.0ms (0%)

sample2.0s (21.7%)

Profiling