Details

analyze150.0ms (2.6%)

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)

sample1.3s (22.8%)

Results

1.3s	8256×	body	128	valid
1.0ms	6×	body	128	invalid

Compiler

Compiled 92 to 65 computations (29.3% saved)

simplify33.0ms (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

prune4.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.6b

Counts

3 → 2

Alt Table

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

Status

Error

Program

▶

0.6b

(/.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))))

0.6b

(/.f64 (fma.f64 v (*.f64 v -5) 1) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 -6 v) 2)) (*.f64 (*.f64 (PI.f64) t) (-.f64 1 (*.f64 v v)))))

Compiler

Compiled 166 to 115 computations (30.7% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series190.0ms (3.2%)

Counts

4 → 60

Calls

4 calls:

153.0ms	(/.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))))
31.0ms	(.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))))
2.0ms	(.f64 5 (.f64 v v))
2.0ms	(*.f64 (PI.f64) t)

rewrite165.0ms (2.8%)

Algorithm

2×	batch-egg-rewrite

Rules

193× egg-rr

Counts

4 → 193

Calls

2 calls:

150.0ms

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

0.0ms

()

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	77
1	449	77
2	4809	77
3	5436	77
0	0	0
1	0	0

simplify97.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

714×	`fma-def_binary64`
489×	`cancel-sign-sub-inv_binary64`
418×	`fma-neg_binary64`
387×	`neg-mul-1_binary64`
233×	`distribute-rgt-neg-in_binary64`

Counts

253 → 245

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	158	2796
1	551	2685
2	2469	2586
3	4477	2586
4	5002	2586

prune699.0ms (11.9%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	237	8	245
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	239	8	247

Error

0.3b

Counts

247 → 8

Alt Table

Status	Error	Program
	35.3b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) t)) 2) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (*.f64 v v))))
▶	0.5b	(.f64 (/.f64 (-.f64 1 (.f64 5 (pow.f64 v 2))) (.f64 (-.f64 (.f64 (PI.f64) (sqrt.f64 2)) (.f64 (pow.f64 v 2) (.f64 (PI.f64) (sqrt.f64 2)))) t)) (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 3 (pow.f64 v 2))))))
	39.6b	(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (*.f64 v v)))) 3))
	0.6b	(.f64 (/.f64 1 (.f64 (PI.f64) t)) (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))))
	35.3b	(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (*.f64 v v))))) 2)
	0.7b	(fma.f64 (/.f64 (.f64 v v) (.f64 (PI.f64) (.f64 t (sqrt.f64 2)))) -5/2 (/.f64 1 (.f64 (PI.f64) (*.f64 t (sqrt.f64 2)))))
	1.6b	(+.f64 (fma.f64 (.f64 (cbrt.f64 (/.f64 1 (.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 1 (.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 1 (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (.f64 v v))))) (neg.f64 (.f64 (/.f64 (.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)))) 5))) (fma.f64 (neg.f64 (/.f64 (.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))))) 5 (.f64 (/.f64 (.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)))) 5)))
	1.5b	(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (.f64 v v)))) 2)) (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (cbrt.f64 (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (*.f64 v v))))))

Compiler

Compiled 24519 to 15266 computations (37.7% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 5 (pow.f64 v 2))
✓	0.2b	(.f64 (pow.f64 v 2) (.f64 (PI.f64) (sqrt.f64 2)))
✓	0.2b	(.f64 (-.f64 (.f64 (PI.f64) (sqrt.f64 2)) (.f64 (pow.f64 v 2) (.f64 (PI.f64) (sqrt.f64 2)))) t)
✓	0.5b	(/.f64 (-.f64 1 (.f64 5 (pow.f64 v 2))) (.f64 (-.f64 (.f64 (PI.f64) (sqrt.f64 2)) (.f64 (pow.f64 v 2) (*.f64 (PI.f64) (sqrt.f64 2)))) t))

series179.0ms (3%)

Counts

4 → 24

Calls

4 calls:

137.0ms	(/.f64 (-.f64 1 (.f64 5 (pow.f64 v 2))) (.f64 (-.f64 (.f64 (PI.f64) (sqrt.f64 2)) (.f64 (pow.f64 v 2) (*.f64 (PI.f64) (sqrt.f64 2)))) t))
31.0ms	(.f64 (-.f64 (.f64 (PI.f64) (sqrt.f64 2)) (.f64 (pow.f64 v 2) (.f64 (PI.f64) (sqrt.f64 2)))) t)
8.0ms	(.f64 (pow.f64 v 2) (.f64 (PI.f64) (sqrt.f64 2)))
2.0ms	(*.f64 5 (pow.f64 v 2))

rewrite91.0ms (1.5%)

Algorithm

2×	batch-egg-rewrite

Rules

91× egg-rr

Counts

4 → 91

Calls

2 calls:

89.0ms

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

0.0ms

()

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	82
1	358	70
2	4577	70
3	4950	70
0	0	0
1	0	0

simplify59.0ms (1%)

Algorithm

1×	egg-herbie

Rules

351×	`associate-/r*_binary64`
337×	`distribute-rgt-neg-in_binary64`
335×	`distribute-lft-neg-in_binary64`
312×	`fma-neg_binary64`
274×	`distribute-neg-frac_binary64`

Counts

115 → 110

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	44	824
1	144	751
2	554	725
3	2446	688
4	4817	688
5	5029	688

prune151.0ms (2.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	107	3	110
Fresh	3	4	7
Picked	1	0	1
Done	0	0	0
Total	111	7	118

Error

0.0b

Counts

118 → 7

Alt Table

Status	Error	Program
	0.6b	(.f64 (/.f64 1 (.f64 (PI.f64) t)) (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))))
	1.5b	(.f64 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 2)) (-.f64 1 (.f64 v v))) t)) 2)) (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (cbrt.f64 (.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 2)) (-.f64 1 (.f64 v v))) t)))) (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 3 (pow.f64 v 2))))))
	39.6b	(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (*.f64 v v)))) 3))
▶	0.3b	(.f64 (.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (PI.f64) (sqrt.f64 2)) (-.f64 1 (.f64 v v)))) (/.f64 1 t)) (sqrt.f64 (/.f64 1 (-.f64 1 (.f64 3 (pow.f64 v 2))))))
	35.3b	(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (*.f64 v v))))) 2)
	0.7b	(fma.f64 (/.f64 (.f64 v v) (.f64 (PI.f64) (.f64 t (sqrt.f64 2)))) -5/2 (/.f64 1 (.f64 (PI.f64) (*.f64 t (sqrt.f64 2)))))
	0.6b	(.f64 (/.f64 (-.f64 1 (.f64 5 (pow.f64 v 2))) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (PI.f64) (sqrt.f64 2)) 3) (pow.f64 (.f64 (.f64 v v) (.f64 (PI.f64) (sqrt.f64 2))) 3)) t) (+.f64 (.f64 2 (pow.f64 (PI.f64) 2)) (+.f64 (.f64 (pow.f64 v 4) (.f64 2 (pow.f64 (PI.f64) 2))) (.f64 (.f64 2 (pow.f64 (PI.f64) 2)) (.f64 v v)))))) (sqrt.f64 (/.f64 1 (-.f64 1 (.f64 3 (pow.f64 v 2))))))

Compiler

Compiled 4810 to 3659 computations (23.9% saved)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

series146.0ms (2.5%)

Counts

3 → 36

Calls

3 calls:

135.0ms

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

9.0ms

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

2.0ms

(*.f64 3 (pow.f64 v 2))

rewrite148.0ms (2.5%)

Algorithm

2×	batch-egg-rewrite

Rules

212× egg-rr

Counts

3 → 212

Calls

2 calls:

138.0ms

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

0.0ms

()

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	66
1	428	66
2	4677	66
3	5238	66
0	0	0
1	0	0

simplify71.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

518×	`associate-/r*_binary64`
480×	`distribute-neg-frac_binary64`
467×	`fma-neg_binary64`
427×	`times-frac_binary64`
254×	`associate-l_binary64`

Counts

248 → 243

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	78	1406
1	260	1332
2	953	1280
3	3803	1280
4	5028	1280

prune434.0ms (7.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	254	4	258
Fresh	4	2	6
Picked	1	0	1
Done	0	0	0
Total	259	6	265

Error

Counts

265 → 6

Alt Table

Status	Error	Program
▶	0.1b	(.f64 (/.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (PI.f64) (sqrt.f64 2)) (-.f64 1 (.f64 v v)))) t) (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 3 (pow.f64 v 2))))))
	35.3b	(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (*.f64 v v))))) 2)
	0.7b	(.f64 (.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (PI.f64) (sqrt.f64 2)) (-.f64 1 (.f64 v v))))) 2) (/.f64 1 t)) (sqrt.f64 (/.f64 1 (-.f64 1 (.f64 3 (pow.f64 v 2))))))
	0.7b	(fma.f64 (/.f64 (.f64 v v) (.f64 (PI.f64) (.f64 t (sqrt.f64 2)))) -5/2 (/.f64 1 (.f64 (PI.f64) (*.f64 t (sqrt.f64 2)))))
	0.5b	(.f64 (/.f64 1 (.f64 (/.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 2)) (-.f64 1 (.f64 v v))) (-.f64 1 (.f64 5 (.f64 v v)))) t)) (sqrt.f64 (/.f64 1 (-.f64 1 (.f64 3 (pow.f64 v 2))))))
	0.3b	(.f64 (/.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) t) (.f64 (.f64 (PI.f64) (sqrt.f64 2)) (-.f64 1 (.f64 v v)))) (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 3 (pow.f64 v 2))))))

Compiler

Compiled 19162 to 13523 computations (29.4% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

series110.0ms (1.9%)

Counts

1 → 24

Calls

1 calls:

110.0ms

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

rewrite83.0ms (1.4%)

Algorithm

2×	batch-egg-rewrite

Rules

41× egg-rr

Counts

1 → 41

Calls

2 calls:

81.0ms	((/.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (PI.f64) (sqrt.f64 2)) (-.f64 1 (*.f64 v v)))) t))
0.0ms	()

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	31
1	359	31
2	4842	31
3	6701	31
0	0	0
1	0	0

simplify62.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

815×	`fma-neg_binary64`
448×	`associate-/r*_binary64`
420×	`distribute-lft-neg-in_binary64`
415×	`distribute-rgt-neg-in_binary64`
406×	`distribute-neg-frac_binary64`

Counts

65 → 58

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	51	970
1	173	897
2	676	856
3	3023	856
4	4881	856
5	5358	856

prune449.0ms (7.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	257	0	257
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	257	6	263

Error

Counts

263 → 6

Alt Table

Status	Error	Program
✓	0.1b	(.f64 (/.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (PI.f64) (sqrt.f64 2)) (-.f64 1 (.f64 v v)))) t) (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 3 (pow.f64 v 2))))))
	35.3b	(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (*.f64 v v))))) 2)
	0.7b	(.f64 (.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (PI.f64) (sqrt.f64 2)) (-.f64 1 (.f64 v v))))) 2) (/.f64 1 t)) (sqrt.f64 (/.f64 1 (-.f64 1 (.f64 3 (pow.f64 v 2))))))
	0.7b	(fma.f64 (/.f64 (.f64 v v) (.f64 (PI.f64) (.f64 t (sqrt.f64 2)))) -5/2 (/.f64 1 (.f64 (PI.f64) (*.f64 t (sqrt.f64 2)))))
	0.5b	(.f64 (/.f64 1 (.f64 (/.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 2)) (-.f64 1 (.f64 v v))) (-.f64 1 (.f64 5 (.f64 v v)))) t)) (sqrt.f64 (/.f64 1 (-.f64 1 (.f64 3 (pow.f64 v 2))))))
	0.3b	(.f64 (/.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) t) (.f64 (.f64 (PI.f64) (sqrt.f64 2)) (-.f64 1 (.f64 v v)))) (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 3 (pow.f64 v 2))))))

Compiler

Compiled 18810 to 13127 computations (30.2% saved)

regimes997.0ms (17%)

Accuracy

Total 0.1b remaining (94.9%)

Threshold costs 0.1b (94.9%)

Counts

130 → 1

Compiler

Compiled 30542 to 23086 computations (24.4% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative_binary64`
8×	`+-commutative_binary64`
8×	`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	23	48
1	47	48
2	64	48
3	74	48
4	80	48
5	81	48
6	78	48

end143.0ms (2.4%)

Compiler: Compiled 260 to 204 computations (21.5% saved)

Details

analyze150.0ms (2.6%)

sample1.3s (22.8%)

simplify33.0ms (0.6%)

prune4.0ms (0.1%)

localize14.0ms (0.2%)

series190.0ms (3.2%)

rewrite165.0ms (2.8%)

simplify97.0ms (1.7%)

prune699.0ms (11.9%)

localize17.0ms (0.3%)

series179.0ms (3%)

rewrite91.0ms (1.5%)

simplify59.0ms (1%)

prune151.0ms (2.6%)

localize19.0ms (0.3%)

series146.0ms (2.5%)

rewrite148.0ms (2.5%)

simplify71.0ms (1.2%)

prune434.0ms (7.4%)

localize16.0ms (0.3%)

series110.0ms (1.9%)

rewrite83.0ms (1.4%)

simplify62.0ms (1.1%)

prune449.0ms (7.7%)

regimes997.0ms (17%)

simplify3.0ms (0.1%)

end143.0ms (2.4%)

Profiling