Details

analyze146.0ms (2.5%)

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)

sample68.0ms (1.2%)

Algorithm

1×

intervals

Results

28.0ms

256×

body

128

valid

Compiler

Compiled 63 to 45 computations (28.6% 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

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

0.6b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	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 106 to 73 computations (31.1% saved)

localize15.0ms (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)
✓	0.4b	(.f64 (sqrt.f64 (fma.f64 v (.f64 -6 v) 2)) (.f64 (.f64 (PI.f64) t) (-.f64 1 (*.f64 v v))))
✓	0.5b	(/.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)))))

series194.0ms (3.3%)

Counts

4 → 72

Calls

4 calls:

135.0ms	(/.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)))))
42.0ms	(.f64 (sqrt.f64 (fma.f64 v (.f64 -6 v) 2)) (.f64 (.f64 (PI.f64) t) (-.f64 1 (*.f64 v v))))
14.0ms	(.f64 (.f64 (PI.f64) t) (-.f64 1 (*.f64 v v)))
2.0ms	(*.f64 (PI.f64) t)

rewrite36.0ms (0.6%)

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:

9.0ms	(/.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)))))
8.0ms	(.f64 (sqrt.f64 (fma.f64 v (.f64 -6 v) 2)) (.f64 (.f64 (PI.f64) t) (-.f64 1 (*.f64 v v))))
6.0ms	(.f64 (.f64 (PI.f64) t) (-.f64 1 (*.f64 v v)))
3.0ms	(*.f64 (PI.f64) t)

simplify133.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

575×	`associate-r_binary64`
522×	`associate-l_binary64`
462×	`associate-/r*_binary64`
416×	`times-frac_binary64`
245×	`associate-/l*_binary64`

Counts

203 → 232

Iterations

Useful iterations: 1 (0.0ms)

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

prune274.0ms (4.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	224	8	232
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	225	8	233

Error

0.0b

Counts

233 → 8

Alt Table

Status	Error	Program
	1.6b	(.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)))))))
	0.8b	(/.f64 (fma.f64 v (.f64 v -5) 1) (-.f64 (.f64 (PI.f64) (.f64 t (sqrt.f64 2))) (fma.f64 (.f64 v v) (.f64 (PI.f64) (.f64 t (sqrt.f64 2))) (.f64 3 (/.f64 (.f64 t (.f64 (PI.f64) (.f64 v v))) (sqrt.f64 2))))))
▶	0.6b	(/.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))))
	1.6b	(/.f64 (sqrt.f64 1/2) (*.f64 (PI.f64) t))
	34.8b	(.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)))))))
	0.8b	(.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (PI.f64) (.f64 t (-.f64 1 (.f64 v v))))) (sqrt.f64 (/.f64 1 (-.f64 2 (.f64 (.f64 v v) 6)))))
	37.1b	(exp.f64 (-.f64 (log.f64 (fma.f64 v (.f64 v -5) 1)) (+.f64 (log.f64 (sqrt.f64 (fma.f64 v (.f64 -6 v) 2))) (+.f64 (+.f64 (log.f64 (PI.f64)) (log.f64 t)) (log.f64 (-.f64 1 (*.f64 v v)))))))
	0.7b	(.f64 (/.f64 (sqrt.f64 (fma.f64 v (.f64 v -5) 1)) (sqrt.f64 (fma.f64 v (.f64 -6 v) 2))) (/.f64 (sqrt.f64 (fma.f64 v (.f64 v -5) 1)) (.f64 (.f64 (PI.f64) t) (-.f64 1 (*.f64 v v)))))

Compiler

Compiled 9926 to 6197 computations (37.6% saved)

localize16.0ms (0.3%)

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)
✓	0.7b	(/.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))))
✓	1.0b	(/.f64 (fma.f64 v (.f64 v -5) 1) (sqrt.f64 (fma.f64 v (.f64 -6 v) 2)))

series153.0ms (2.6%)

Counts

2 → 36

Calls

2 calls:

140.0ms

(/.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))))

13.0ms

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

rewrite30.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

76×	`times-frac_binary64`
43×	`*-un-lft-identity_binary64`
43×	`add-sqr-sqrt_binary64`
43×	`add-cube-cbrt_binary64`
30×	`sqrt-prod_binary64`

Counts

2 → 113

Calls

2 calls:

12.0ms

(/.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))))

3.0ms

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

simplify154.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

879×	`fma-def_binary64`
419×	`associate-/r*_binary64`
279×	`times-frac_binary64`
276×	`associate-/l*_binary64`
250×	`associate-l_binary64`

Counts

149 → 220

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	436	7537
1	1236	6895
2	4807	6872
3	5527	6872

prune341.0ms (5.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	292	2	294
Fresh	3	4	7
Picked	0	1	1
Done	0	0	0
Total	295	7	302

Error

0.0b

Counts

302 → 7

Alt Table

Status	Error	Program
	37.1b	(exp.f64 (-.f64 (log.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (sqrt.f64 (fma.f64 v (.f64 -6 v) 2)))) (+.f64 (+.f64 (log.f64 (PI.f64)) (log.f64 t)) (log.f64 (-.f64 1 (*.f64 v v))))))
✓	0.6b	(/.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))))
	34.8b	(.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)))))))
	0.8b	(/.f64 (fma.f64 v (.f64 v -5) 1) (-.f64 (.f64 (PI.f64) (.f64 t (sqrt.f64 2))) (fma.f64 (.f64 v v) (.f64 (PI.f64) (.f64 t (sqrt.f64 2))) (.f64 3 (/.f64 (.f64 t (.f64 (PI.f64) (.f64 v v))) (sqrt.f64 2))))))
	0.8b	(.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (PI.f64) (.f64 t (-.f64 1 (.f64 v v))))) (sqrt.f64 (/.f64 1 (-.f64 2 (.f64 (.f64 v v) 6)))))
	0.7b	(/.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (sqrt.f64 (fma.f64 v (.f64 -6 v) 2))) (.f64 (.f64 (sqrt.f64 (PI.f64)) (.f64 t (sqrt.f64 (PI.f64)))) (-.f64 1 (.f64 v v))))
▶	0.7b	(.f64 (/.f64 (sqrt.f64 (fma.f64 v (.f64 v -5) 1)) (sqrt.f64 (fma.f64 v (.f64 -6 v) 2))) (/.f64 (sqrt.f64 (fma.f64 v (.f64 v -5) 1)) (.f64 (.f64 (PI.f64) t) (-.f64 1 (*.f64 v v)))))

Compiler

Compiled 12472 to 8182 computations (34.4% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 (PI.f64) t)
✓	0.5b	(.f64 (/.f64 (sqrt.f64 (fma.f64 v (.f64 v -5) 1)) (sqrt.f64 (fma.f64 v (.f64 -6 v) 2))) (/.f64 (sqrt.f64 (fma.f64 v (.f64 v -5) 1)) (.f64 (.f64 (PI.f64) t) (-.f64 1 (*.f64 v v)))))
✓	0.5b	(/.f64 (sqrt.f64 (fma.f64 v (.f64 v -5) 1)) (.f64 (.f64 (PI.f64) t) (-.f64 1 (.f64 v v))))
✓	1.0b	(/.f64 (sqrt.f64 (fma.f64 v (.f64 v -5) 1)) (sqrt.f64 (fma.f64 v (.f64 -6 v) 2)))

series372.0ms (6.3%)

Counts

3 → 60

Calls

3 calls:

281.0ms

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

79.0ms

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

11.0ms

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

rewrite67.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

91×	`sqrt-prod_binary64`
88×	`times-frac_binary64`
79×	`add-sqr-sqrt_binary64`
63×	`*-un-lft-identity_binary64`
63×	`add-cube-cbrt_binary64`

Counts

3 → 184

Calls

3 calls:

21.0ms

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

10.0ms

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

7.0ms

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

simplify207.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

580×	`associate-/r*_binary64`
418×	`times-frac_binary64`
317×	`associate-*r/_binary64`
267×	`associate-/l*_binary64`
264×	`associate-*l/_binary64`

Counts

244 → 317

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	541	11948
1	1545	11074
2	5006	11074

prune440.0ms (7.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	338	0	338
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	338	7	345

Error

0.0b

Counts

345 → 7

Alt Table

Status	Error	Program
	37.1b	(exp.f64 (-.f64 (log.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (sqrt.f64 (fma.f64 v (.f64 -6 v) 2)))) (+.f64 (+.f64 (log.f64 (PI.f64)) (log.f64 t)) (log.f64 (-.f64 1 (*.f64 v v))))))
✓	0.6b	(/.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))))
	34.8b	(.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)))))))
	0.8b	(/.f64 (fma.f64 v (.f64 v -5) 1) (-.f64 (.f64 (PI.f64) (.f64 t (sqrt.f64 2))) (fma.f64 (.f64 v v) (.f64 (PI.f64) (.f64 t (sqrt.f64 2))) (.f64 3 (/.f64 (.f64 t (.f64 (PI.f64) (.f64 v v))) (sqrt.f64 2))))))
	0.8b	(.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (PI.f64) (.f64 t (-.f64 1 (.f64 v v))))) (sqrt.f64 (/.f64 1 (-.f64 2 (.f64 (.f64 v v) 6)))))
▶	0.7b	(/.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (sqrt.f64 (fma.f64 v (.f64 -6 v) 2))) (.f64 (.f64 (sqrt.f64 (PI.f64)) (.f64 t (sqrt.f64 (PI.f64)))) (-.f64 1 (.f64 v v))))
✓	0.7b	(.f64 (/.f64 (sqrt.f64 (fma.f64 v (.f64 v -5) 1)) (sqrt.f64 (fma.f64 v (.f64 -6 v) 2))) (/.f64 (sqrt.f64 (fma.f64 v (.f64 v -5) 1)) (.f64 (.f64 (PI.f64) t) (-.f64 1 (*.f64 v v)))))

Compiler

Compiled 17569 to 11946 computations (32% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (sqrt.f64 (PI.f64)) (.f64 t (sqrt.f64 (PI.f64))))
✓	0.7b	(/.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (sqrt.f64 (fma.f64 v (.f64 -6 v) 2))) (.f64 (.f64 (sqrt.f64 (PI.f64)) (.f64 t (sqrt.f64 (PI.f64)))) (-.f64 1 (.f64 v v))))
	1.0b	(/.f64 (fma.f64 v (.f64 v -5) 1) (sqrt.f64 (fma.f64 v (.f64 -6 v) 2)))
✓	1.0b	(sqrt.f64 (PI.f64))

series136.0ms (2.3%)

Counts

3 → 36

Calls

3 calls:

134.0ms

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

2.0ms

(*.f64 (sqrt.f64 (PI.f64)) (*.f64 t (sqrt.f64 (PI.f64))))

0.0ms

(sqrt.f64 (PI.f64))

rewrite34.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

58×	`times-frac_binary64`
40×	`add-cbrt-cube_binary64`
40×	`add-exp-log_binary64`
33×	`add-sqr-sqrt_binary64`
32×	`*-un-lft-identity_binary64`

Counts

3 → 114

Calls

3 calls:

12.0ms

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

5.0ms

(*.f64 (sqrt.f64 (PI.f64)) (*.f64 t (sqrt.f64 (PI.f64))))

1.0ms

(sqrt.f64 (PI.f64))

simplify139.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

847×	`fma-def_binary64`
434×	`associate-/r*_binary64`
304×	`associate-l_binary64`
300×	`times-frac_binary64`
281×	`associate-r_binary64`

Counts

150 → 188

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	395	7085
1	1091	5484
2	4461	5469
3	5167	5469

prune312.0ms (5.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	289	0	289
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	289	7	296

Error

0.0b

Counts

296 → 7

Alt Table

Status	Error	Program
	37.1b	(exp.f64 (-.f64 (log.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (sqrt.f64 (fma.f64 v (.f64 -6 v) 2)))) (+.f64 (+.f64 (log.f64 (PI.f64)) (log.f64 t)) (log.f64 (-.f64 1 (*.f64 v v))))))
✓	0.6b	(/.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))))
	34.8b	(.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)))))))
	0.8b	(/.f64 (fma.f64 v (.f64 v -5) 1) (-.f64 (.f64 (PI.f64) (.f64 t (sqrt.f64 2))) (fma.f64 (.f64 v v) (.f64 (PI.f64) (.f64 t (sqrt.f64 2))) (.f64 3 (/.f64 (.f64 t (.f64 (PI.f64) (.f64 v v))) (sqrt.f64 2))))))
	0.8b	(.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (PI.f64) (.f64 t (-.f64 1 (.f64 v v))))) (sqrt.f64 (/.f64 1 (-.f64 2 (.f64 (.f64 v v) 6)))))
✓	0.7b	(/.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (sqrt.f64 (fma.f64 v (.f64 -6 v) 2))) (.f64 (.f64 (sqrt.f64 (PI.f64)) (.f64 t (sqrt.f64 (PI.f64)))) (-.f64 1 (.f64 v v))))
✓	0.7b	(.f64 (/.f64 (sqrt.f64 (fma.f64 v (.f64 v -5) 1)) (sqrt.f64 (fma.f64 v (.f64 -6 v) 2))) (/.f64 (sqrt.f64 (fma.f64 v (.f64 v -5) 1)) (.f64 (.f64 (PI.f64) t) (-.f64 1 (*.f64 v v)))))

Compiler

Compiled 12923 to 7955 computations (38.4% saved)

regimes1.5s (24.7%)

Accuracy

Total 0.3b remaining (88.7%)

Threshold costs 0.3b (88.7%)

Counts

195 → 1

Compiler

Compiled 37056 to 27268 computations (26.4% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

12×	`*-commutative_binary64`
8×	`+-commutative_binary64`
8×	`sub-neg_binary64`
6×	`distribute-rgt-neg-in_binary64`
6×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	53
1	39	53
2	59	53
3	71	53
4	80	53
5	83	53
6	81	53

end1.0ms (0%)

Compiler: Compiled 36 to 29 computations (19.4% saved)

sample1.1s (19%)

Algorithm

1×

intervals

Results

741.0ms	8000×	body	128	valid
1.0ms	8×	body	128	nan

Compiler

Compiled 312 to 226 computations (27.6% saved)

Details

analyze146.0ms (2.5%)

sample68.0ms (1.2%)

simplify33.0ms (0.6%)

prune4.0ms (0.1%)

localize15.0ms (0.2%)

series194.0ms (3.3%)

rewrite36.0ms (0.6%)

simplify133.0ms (2.2%)

prune274.0ms (4.6%)

localize16.0ms (0.3%)

series153.0ms (2.6%)

rewrite30.0ms (0.5%)

simplify154.0ms (2.6%)

prune341.0ms (5.7%)

localize17.0ms (0.3%)

series372.0ms (6.3%)

rewrite67.0ms (1.1%)

simplify207.0ms (3.5%)

prune440.0ms (7.4%)

localize18.0ms (0.3%)

series136.0ms (2.3%)

rewrite34.0ms (0.6%)

simplify139.0ms (2.3%)

prune312.0ms (5.3%)

regimes1.5s (24.7%)

simplify4.0ms (0.1%)

end1.0ms (0%)

sample1.1s (19%)

Profiling