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)

sample1.5s (20.4%)

Results

1.5s	8256×	body	128	valid
1.0ms	6×	body	128	invalid

Compiler

Compiled 92 to 65 computations (29.3% saved)

simplify33.0ms (0.4%)

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

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.4b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.4b	(/.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 106 to 73 computations (31.1% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (.f64 (PI.f64) t) (-.f64 1 (*.f64 v v)))
✓	0.2b	(*.f64 (PI.f64) t)
✓	0.3b	(/.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)))))
✓	0.5b	(.f64 (sqrt.f64 (fma.f64 v (.f64 -6 v) 2)) (.f64 (.f64 (PI.f64) t) (-.f64 1 (*.f64 v v))))

series209.0ms (2.8%)

Counts

4 → 72

Calls

4 calls:

136.0ms	(/.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)))))
45.0ms	(.f64 (sqrt.f64 (fma.f64 v (.f64 -6 v) 2)) (.f64 (.f64 (PI.f64) t) (-.f64 1 (*.f64 v v))))
25.0ms	(.f64 (.f64 (PI.f64) t) (-.f64 1 (*.f64 v v)))
2.0ms	(*.f64 (PI.f64) t)

rewrite38.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`add-cbrt-cube_binary64`
34×	`add-exp-log_binary64`
25×	`distribute-lft-in_binary64`
25×	`distribute-rgt-in_binary64`
20×	`add-sqr-sqrt_binary64`

Counts

4 → 131

Calls

4 calls:

10.0ms	(.f64 (sqrt.f64 (fma.f64 v (.f64 -6 v) 2)) (.f64 (.f64 (PI.f64) t) (-.f64 1 (*.f64 v v))))
8.0ms	(/.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)))))
7.0ms	(.f64 (.f64 (PI.f64) t) (-.f64 1 (*.f64 v v)))
3.0ms	(*.f64 (PI.f64) t)

simplify112.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

563×	`associate-r_binary64`
513×	`associate-l_binary64`
460×	`associate-/r*_binary64`
416×	`times-frac_binary64`
245×	`associate-/l*_binary64`

Counts

203 → 226

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	444	7617
1	1247	6841
2	5223	6841

prune280.0ms (3.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	220	6	226
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	220	7	227

Error

0.0b

Counts

227 → 7

Alt Table

Status	Error	Program
▶	0.4b	(/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 t (-.f64 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 6 (pow.f64 v 2))))) (.f64 (.f64 (pow.f64 v 2) (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 6 (pow.f64 v 2))))))))
	0.5b	(.f64 (/.f64 1 (sqrt.f64 (fma.f64 v (.f64 -6 v) 2))) (/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 (.f64 (PI.f64) t) (-.f64 1 (.f64 v v)))))
	0.7b	(-.f64 (fma.f64 3/4 (/.f64 (.f64 v v) (.f64 (.f64 (PI.f64) t) (sqrt.f64 1/2))) (fma.f64 27/128 (/.f64 (pow.f64 v 6) (.f64 (.f64 (PI.f64) t) (pow.f64 (sqrt.f64 1/2) 5))) (/.f64 (sqrt.f64 1/2) (.f64 (PI.f64) t)))) (fma.f64 4 (.f64 (/.f64 (sqrt.f64 1/2) (.f64 (PI.f64) t)) (.f64 v v)) (fma.f64 21/4 (/.f64 (pow.f64 v 6) (.f64 (.f64 (PI.f64) t) (sqrt.f64 1/2))) (fma.f64 9/32 (/.f64 (pow.f64 v 4) (.f64 (.f64 (PI.f64) t) (.f64 1/2 (sqrt.f64 1/2)))) (fma.f64 4 (.f64 (/.f64 (sqrt.f64 1/2) (.f64 (PI.f64) t)) (pow.f64 v 4)) (fma.f64 4 (.f64 (/.f64 (sqrt.f64 1/2) (.f64 (PI.f64) t)) (pow.f64 v 6)) (fma.f64 3/4 (/.f64 (pow.f64 v 4) (.f64 (.f64 (PI.f64) t) (sqrt.f64 1/2))) (.f64 9/16 (/.f64 (pow.f64 v 6) (.f64 (.f64 (PI.f64) t) (.f64 1/2 (sqrt.f64 1/2))))))))))))
	32.8b	(.f64 (sqrt.f64 (/.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)))))) (sqrt.f64 (/.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)))))))
	1.3b	(.f64 (.f64 (cbrt.f64 (/.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)))))) (cbrt.f64 (/.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))))))) (cbrt.f64 (/.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)))))))
✓	0.4b	(/.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)))))
	0.4b	(/.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (sqrt.f64 (fma.f64 v (.f64 -6 v) 2))) (.f64 (.f64 (PI.f64) t) (-.f64 1 (*.f64 v v))))

Compiler

Compiled 9869 to 6128 computations (37.9% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 6 (pow.f64 v 2))
✓	0.2b	(.f64 t (-.f64 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 6 (pow.f64 v 2))))) (.f64 (.f64 (pow.f64 v 2) (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 6 (pow.f64 v 2)))))))
✓	0.2b	(.f64 (.f64 (pow.f64 v 2) (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 6 (pow.f64 v 2)))))
✓	0.3b	(/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 t (-.f64 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 6 (pow.f64 v 2))))) (.f64 (.f64 (pow.f64 v 2) (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 6 (pow.f64 v 2))))))))

series313.0ms (4.2%)

Counts

4 → 48

Calls

4 calls:

222.0ms	(/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 t (-.f64 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 6 (pow.f64 v 2))))) (.f64 (.f64 (pow.f64 v 2) (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 6 (pow.f64 v 2))))))))
79.0ms	(.f64 t (-.f64 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 6 (pow.f64 v 2))))) (.f64 (.f64 (pow.f64 v 2) (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 6 (pow.f64 v 2)))))))
9.0ms	(.f64 (.f64 (pow.f64 v 2) (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 6 (pow.f64 v 2)))))
3.0ms	(*.f64 6 (pow.f64 v 2))

rewrite45.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`associate-*r/_binary64`
26×	`sqrt-div_binary64`
26×	`add-exp-log_binary64`
21×	`add-sqr-sqrt_binary64`
18×	`associate-r_binary64`

Counts

4 → 121

Calls

4 calls:

11.0ms	(.f64 t (-.f64 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 6 (pow.f64 v 2))))) (.f64 (.f64 (pow.f64 v 2) (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 6 (pow.f64 v 2)))))))
11.0ms	(/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 t (-.f64 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 6 (pow.f64 v 2))))) (.f64 (.f64 (pow.f64 v 2) (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 6 (pow.f64 v 2))))))))
6.0ms	(.f64 (.f64 (pow.f64 v 2) (PI.f64)) (sqrt.f64 (-.f64 2 (*.f64 6 (pow.f64 v 2)))))
4.0ms	(*.f64 6 (pow.f64 v 2))

simplify152.0ms (2%)

Algorithm

1×	egg-herbie

Rules

486×	`associate-r_binary64`
459×	`associate-l_binary64`
340×	`associate-/r*_binary64`
235×	`fma-def_binary64`
204×	`times-frac_binary64`

Counts

169 → 264

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	452	7301
1	1325	6576
2	4946	6576
3	5010	6576

prune527.0ms (7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	305	4	309
Fresh	4	1	5
Picked	1	0	1
Done	0	1	1
Total	310	6	316

Error

Counts

316 → 6

Alt Table

Status	Error	Program
	0.7b	(-.f64 (fma.f64 3/4 (/.f64 (.f64 v v) (.f64 (.f64 (PI.f64) t) (sqrt.f64 1/2))) (fma.f64 27/128 (/.f64 (pow.f64 v 6) (.f64 (.f64 (PI.f64) t) (pow.f64 (sqrt.f64 1/2) 5))) (/.f64 (sqrt.f64 1/2) (.f64 (PI.f64) t)))) (fma.f64 4 (.f64 (/.f64 (sqrt.f64 1/2) (.f64 (PI.f64) t)) (.f64 v v)) (fma.f64 21/4 (/.f64 (pow.f64 v 6) (.f64 (.f64 (PI.f64) t) (sqrt.f64 1/2))) (fma.f64 9/32 (/.f64 (pow.f64 v 4) (.f64 (.f64 (PI.f64) t) (.f64 1/2 (sqrt.f64 1/2)))) (fma.f64 4 (.f64 (/.f64 (sqrt.f64 1/2) (.f64 (PI.f64) t)) (pow.f64 v 4)) (fma.f64 4 (.f64 (/.f64 (sqrt.f64 1/2) (.f64 (PI.f64) t)) (pow.f64 v 6)) (fma.f64 3/4 (/.f64 (pow.f64 v 4) (.f64 (.f64 (PI.f64) t) (sqrt.f64 1/2))) (.f64 9/16 (/.f64 (pow.f64 v 6) (.f64 (.f64 (PI.f64) t) (.f64 1/2 (sqrt.f64 1/2))))))))))))
▶	0.3b	(.f64 (/.f64 (sqrt.f64 (fma.f64 v (.f64 v -5) 1)) t) (/.f64 (sqrt.f64 (fma.f64 v (.f64 v -5) 1)) (.f64 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))) (-.f64 (PI.f64) (.f64 (PI.f64) (.f64 v v))))))
	32.8b	(.f64 (sqrt.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 t (.f64 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))) (-.f64 (PI.f64) (.f64 (PI.f64) (.f64 v v))))))) (sqrt.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 t (.f64 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))) (-.f64 (PI.f64) (.f64 (PI.f64) (*.f64 v v))))))))
	0.4b	(.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 t (-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 (-.f64 (pow.f64 2 3) (pow.f64 (.f64 6 (pow.f64 v 2)) 3)))) (sqrt.f64 (+.f64 2 (.f64 6 (pow.f64 v 2))))) (.f64 (sqrt.f64 (+.f64 (.f64 2 2) (+.f64 (.f64 (.f64 6 (pow.f64 v 2)) (.f64 6 (pow.f64 v 2))) (.f64 2 (.f64 6 (pow.f64 v 2)))))) (.f64 (.f64 (pow.f64 v 2) (PI.f64)) (sqrt.f64 (-.f64 (.f64 2 2) (.f64 (.f64 6 (pow.f64 v 2)) (.f64 6 (pow.f64 v 2)))))))))) (.f64 (sqrt.f64 (+.f64 (.f64 2 2) (+.f64 (.f64 (.f64 6 (pow.f64 v 2)) (.f64 6 (pow.f64 v 2))) (.f64 2 (.f64 6 (pow.f64 v 2)))))) (sqrt.f64 (+.f64 2 (.f64 6 (pow.f64 v 2))))))
✓	0.4b	(/.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)))))
	0.3b	(.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 t (-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 6 (pow.f64 v 2))))) (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 6 (pow.f64 v 2)))))) (.f64 (.f64 (.f64 (pow.f64 v 2) (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 6 (pow.f64 v 2))))) (.f64 (.f64 (pow.f64 v 2) (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 6 (pow.f64 v 2))))))))) (+.f64 (.f64 (PI.f64) (sqrt.f64 (-.f64 2 (.f64 6 (pow.f64 v 2))))) (.f64 (.f64 (pow.f64 v 2) (PI.f64)) (sqrt.f64 (-.f64 2 (.f64 6 (pow.f64 v 2)))))))

Compiler

Compiled 16263 to 12073 computations (25.8% saved)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (fma.f64 v (*.f64 v -5) 1))
✓	0.2b	(.f64 (PI.f64) (.f64 v v))
✓	0.2b	(.f64 (.f64 v v) 6)
✓	0.3b	(.f64 (/.f64 (sqrt.f64 (fma.f64 v (.f64 v -5) 1)) t) (/.f64 (sqrt.f64 (fma.f64 v (.f64 v -5) 1)) (.f64 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))) (-.f64 (PI.f64) (.f64 (PI.f64) (.f64 v v))))))

series155.0ms (2.1%)

Counts

4 → 60

Calls

4 calls:

144.0ms	(.f64 (/.f64 (sqrt.f64 (fma.f64 v (.f64 v -5) 1)) t) (/.f64 (sqrt.f64 (fma.f64 v (.f64 v -5) 1)) (.f64 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))) (-.f64 (PI.f64) (.f64 (PI.f64) (.f64 v v))))))
5.0ms	(sqrt.f64 (fma.f64 v (*.f64 v -5) 1))
3.0ms	(.f64 (PI.f64) (.f64 v v))
2.0ms	(.f64 (.f64 v v) 6)

rewrite44.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

35×	`add-cbrt-cube_binary64`
35×	`add-exp-log_binary64`
34×	`add-sqr-sqrt_binary64`
26×	`associate-l_binary64`
26×	`times-frac_binary64`

Counts

4 → 126

Calls

4 calls:

18.0ms	(.f64 (/.f64 (sqrt.f64 (fma.f64 v (.f64 v -5) 1)) t) (/.f64 (sqrt.f64 (fma.f64 v (.f64 v -5) 1)) (.f64 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))) (-.f64 (PI.f64) (.f64 (PI.f64) (.f64 v v))))))
5.0ms	(.f64 (PI.f64) (.f64 v v))
4.0ms	(.f64 (.f64 v v) 6)
1.0ms	(sqrt.f64 (fma.f64 v (*.f64 v -5) 1))

simplify144.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

526×	`fma-def_binary64`
346×	`associate-l_binary64`
343×	`associate-/r*_binary64`
339×	`associate-r_binary64`
316×	`times-frac_binary64`

Counts

186 → 218

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	437	6661
1	1249	6048
2	4699	5969
3	5067	5969

prune322.0ms (4.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	254	2	256
Fresh	4	0	4
Picked	0	1	1
Done	0	1	1
Total	258	4	262

Error

Counts

262 → 4

Alt Table

Status	Error	Program
▶	0.1b	(/.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -5) 1)) (/.f64 (sqrt.f64 (fma.f64 v (.f64 v -5) 1)) (.f64 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))) (-.f64 (PI.f64) (.f64 (PI.f64) (.f64 v v)))))) t)
✓	0.3b	(.f64 (/.f64 (sqrt.f64 (fma.f64 v (.f64 v -5) 1)) t) (/.f64 (sqrt.f64 (fma.f64 v (.f64 v -5) 1)) (.f64 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))) (-.f64 (PI.f64) (.f64 (PI.f64) (.f64 v v))))))
	0.7b	(.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 t (.f64 (fma.f64 v (neg.f64 v) 1) (PI.f64)))) (sqrt.f64 (/.f64 1 (-.f64 2 (.f64 (*.f64 v v) 6)))))
✓	0.4b	(/.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 12510 to 7696 computations (38.5% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sqrt.f64 (fma.f64 v (*.f64 v -5) 1))
✓	0.1b	(/.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -5) 1)) (/.f64 (sqrt.f64 (fma.f64 v (.f64 v -5) 1)) (.f64 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))) (-.f64 (PI.f64) (.f64 (PI.f64) (.f64 v v)))))) t)
	0.2b	(.f64 (PI.f64) (.f64 v v))
	0.2b	(.f64 (.f64 v v) 6)

series143.0ms (1.9%)

Counts

1 → 24

Calls

1 calls:

143.0ms

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

rewrite71.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-cbrt-cube_binary64`
15×	`add-exp-log_binary64`
6×	`cbrt-undiv_binary64`
6×	`div-exp_binary64`
4×	`cbrt-unprod_binary64`

Counts

1 → 28

Calls

1 calls:

12.0ms

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

simplify114.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

804×	`fma-def_binary64`
281×	`cancel-sign-sub-inv_binary64`
267×	`associate-/r*_binary64`
199×	`sub-neg_binary64`
193×	`times-frac_binary64`

Counts

52 → 70

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	274	3405
1	799	2930
2	3332	2793
3	5008	2793

prune284.0ms (3.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	192	1	193
Fresh	1	0	1
Picked	0	1	1
Done	0	2	2
Total	193	4	197

Error

Counts

197 → 4

Alt Table

Status	Error	Program
✓	0.1b	(/.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v -5) 1)) (/.f64 (sqrt.f64 (fma.f64 v (.f64 v -5) 1)) (.f64 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))) (-.f64 (PI.f64) (.f64 (PI.f64) (.f64 v v)))))) t)
	0.7b	(.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (.f64 t (.f64 (fma.f64 v (neg.f64 v) 1) (PI.f64)))) (sqrt.f64 (/.f64 1 (fma.f64 (*.f64 v v) -6 2))))
✓	0.3b	(.f64 (/.f64 (sqrt.f64 (fma.f64 v (.f64 v -5) 1)) t) (/.f64 (sqrt.f64 (fma.f64 v (.f64 v -5) 1)) (.f64 (sqrt.f64 (-.f64 2 (.f64 (.f64 v v) 6))) (-.f64 (PI.f64) (.f64 (PI.f64) (.f64 v v))))))
✓	0.4b	(/.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 8902 to 5526 computations (37.9% saved)

regimes2.7s (35.5%)

Accuracy

Total 0.1b remaining (91.8%)

Threshold costs 0.1b (91.8%)

Counts

308 → 1

Compiler

Compiled 73647 to 56029 computations (23.9% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative_binary64`
7×	`+-commutative_binary64`
7×	`sub-neg_binary64`
5×	`distribute-rgt-neg-in_binary64`
5×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	53
1	38	53
2	58	53
3	68	53
4	74	53
5	75	53
6	73	53

end110.0ms (1.5%)

Compiler: Compiled 198 to 139 computations (29.8% saved)

Details

analyze145.0ms (1.9%)

sample1.5s (20.4%)

simplify33.0ms (0.4%)

prune3.0ms (0%)

localize16.0ms (0.2%)

series209.0ms (2.8%)

rewrite38.0ms (0.5%)

simplify112.0ms (1.5%)

prune280.0ms (3.7%)

localize15.0ms (0.2%)

series313.0ms (4.2%)

rewrite45.0ms (0.6%)

simplify152.0ms (2%)

prune527.0ms (7%)

localize19.0ms (0.3%)

series155.0ms (2.1%)

rewrite44.0ms (0.6%)

simplify144.0ms (1.9%)

prune322.0ms (4.3%)

localize16.0ms (0.2%)

series143.0ms (1.9%)

rewrite71.0ms (0.9%)

simplify114.0ms (1.5%)

prune284.0ms (3.8%)

regimes2.7s (35.5%)

simplify6.0ms (0.1%)

end110.0ms (1.5%)

Profiling