Details

analyze187.0ms (4.1%)

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)

sample64.0ms (1.4%)

Algorithm

1×

intervals

Results

23.0ms	256×	body	128	valid
0.0ms	2×	body	128	nan

Compiler

Compiled 63 to 45 computations (28.6% saved)

simplify36.0ms (0.8%)

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

prune5.0ms (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

0.4b

Counts

3 → 2

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)))))
▶	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 (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 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 166 to 115 computations (30.7% saved)

localize16.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 3 (.f64 v v))
✓	0.2b	(*.f64 (PI.f64) t)
✓	0.3b	(/.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))))))

series224.0ms (4.9%)

Counts

4 → 60

Calls

4 calls:

181.0ms	(/.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))))
34.0ms	(.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))))
6.0ms	(.f64 3 (.f64 v v))
2.0ms	(*.f64 (PI.f64) t)

rewrite38.0ms (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:

14.0ms	(/.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))))
7.0ms	(.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))))
6.0ms	(.f64 3 (.f64 v v))
3.0ms	(*.f64 (PI.f64) t)

simplify140.0ms (3.1%)

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 → 186

Iterations

Useful iterations: 2 (0.0ms)

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

prune275.0ms (6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	178	8	186
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	179	9	188

Error

0.1b

Counts

188 → 9

Alt Table

Status	Error	Program
✓	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))))
	0.7b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.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 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))))
	32.5b	(.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))))))
▶	0.4b	(.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 3 (.f64 v v))))))
	1.4b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 (cbrt.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))) (cbrt.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))))) (cbrt.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))))) (-.f64 1 (*.f64 v v))))
	37.5b	(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))))))
	1.3b	(.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))))))
	37.4b	(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))))))

Compiler

Compiled 9176 to 5986 computations (34.8% saved)

localize20.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

series108.0ms (2.4%)

Counts

3 → 60

Calls

3 calls:

83.0ms

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

22.0ms

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

2.0ms

(*.f64 (*.f64 v v) 5)

rewrite26.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`add-cbrt-cube_binary64`
31×	`add-exp-log_binary64`
17×	`pow1_binary64`
15×	`cbrt-unprod_binary64`
15×	`prod-exp_binary64`

Counts

3 → 74

Calls

3 calls:

9.0ms

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

6.0ms

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

4.0ms

(*.f64 (*.f64 v v) 5)

simplify86.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

448×	`fma-def_binary64`
436×	`distribute-rgt-in_binary64`
418×	`distribute-lft-in_binary64`
269×	`associate-l_binary64`
268×	`associate-r_binary64`

Counts

134 → 126

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	183	3822
1	520	3127
2	2170	3019
3	5223	3019

prune199.0ms (4.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	146	4	150
Fresh	4	3	7
Picked	0	1	1
Done	1	0	1
Total	151	8	159

Error

0.0b

Counts

159 → 8

Alt Table

Status	Error	Program
✓	0.4b	(.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 3 (.f64 v v))))))
	0.7b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) t)) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (.f64 v v))))
▶	0.3b	(.f64 (.f64 (/.f64 1 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 3 (.f64 v v))))))
	32.4b	(.f64 (.f64 (sqrt.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 (-.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 3 (.f64 v v))))))
	37.4b	(.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) (.f64 (PI.f64) (sqrt.f64 2))) (.f64 (fma.f64 v (neg.f64 v) 1) (.f64 (PI.f64) (sqrt.f64 2)))) (.f64 (fma.f64 v (neg.f64 v) 1) (.f64 (PI.f64) (sqrt.f64 2))))))) (sqrt.f64 (/.f64 1 (-.f64 1 (.f64 3 (.f64 v v))))))
	1.3b	(.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))))))
	37.4b	(.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 (PI.f64) (.f64 (.f64 t (sqrt.f64 2)) (-.f64 1 (.f64 v v))))) 3)) (sqrt.f64 (/.f64 1 (-.f64 1 (.f64 3 (.f64 v v))))))
	0.4b	(/.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 6620 to 4439 computations (32.9% saved)

localize20.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

series96.0ms (2.1%)

Counts

3 → 48

Calls

3 calls:

84.0ms

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

7.0ms

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

4.0ms

(*.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v)))

rewrite41.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

70×	`add-exp-log_binary64`
42×	`add-cbrt-cube_binary64`
34×	`add-sqr-sqrt_binary64`
32×	`prod-exp_binary64`
25×	`distribute-lft-in_binary64`

Counts

3 → 143

Calls

3 calls:

12.0ms

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

8.0ms

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

6.0ms

(*.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v)))

simplify152.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

408×	`distribute-rgt-in_binary64`
404×	`fma-def_binary64`
298×	`associate-r_binary64`
285×	`associate-l_binary64`
243×	`associate-/r*_binary64`

Counts

191 → 216

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	253	5767
1	611	4719
2	2605	4591
3	4775	4591
4	5057	4591

prune294.0ms (6.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	238	2	240
Fresh	5	1	6
Picked	0	1	1
Done	1	0	1
Total	244	4	248

Error

Counts

248 → 4

Alt Table

Status	Error	Program
✓	0.3b	(.f64 (.f64 (/.f64 1 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 3 (.f64 v v))))))
▶	0.1b	(.f64 (/.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 (PI.f64) (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))))) t) (sqrt.f64 (/.f64 1 (-.f64 1 (.f64 3 (*.f64 v v))))))
	0.6b	(.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 (PI.f64) (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))))) t) (sqrt.f64 (/.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 3 (.f64 v v))))))
	0.4b	(/.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 10110 to 6959 computations (31.2% saved)

localize18.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

series84.0ms (1.8%)

Counts

1 → 24

Calls

1 calls:

84.0ms

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

rewrite16.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

39×	`times-frac_binary64`
19×	`*-un-lft-identity_binary64`
19×	`add-sqr-sqrt_binary64`
19×	`add-cube-cbrt_binary64`
16×	`associate-*r/_binary64`

Counts

1 → 60

Calls

1 calls:

8.0ms

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

simplify133.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

403×	`distribute-rgt-in_binary64`
388×	`distribute-lft-in_binary64`
275×	`fma-def_binary64`
222×	`associate-/r*_binary64`
187×	`associate-r_binary64`

Counts

84 → 112

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	213	3630
1	567	3214
2	2100	3194
3	4732	3194
4	4971	3194
5	5001	3194

prune290.0ms (6.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	241	0	241
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	241	4	245

Error

Counts

245 → 4

Alt Table

Status	Error	Program
✓	0.3b	(.f64 (.f64 (/.f64 1 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 3 (.f64 v v))))))
✓	0.1b	(.f64 (/.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 (PI.f64) (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))))) t) (sqrt.f64 (/.f64 1 (-.f64 1 (.f64 3 (*.f64 v v))))))
	0.6b	(.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 (PI.f64) (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))))) t) (sqrt.f64 (/.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 3 (.f64 v v))))))
	0.4b	(/.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 9819 to 6545 computations (33.3% saved)

regimes882.0ms (19.4%)

Accuracy

Total 0.1b remaining (88.7%)

Threshold costs 0.1b (88.7%)

Counts

116 → 1

Compiler

Compiled 28380 to 20259 computations (28.6% saved)

simplify4.0ms (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	22	46
1	40	46
2	51	46
3	57	46
4	60	46
5	58	46

end1.0ms (0%)

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

sample1.1s (24.1%)

Algorithm

1×

intervals

Results

709.0ms	8000×	body	128	valid
1.0ms	11×	body	128	nan

Compiler

Compiled 213 to 157 computations (26.3% saved)

Details

analyze187.0ms (4.1%)

sample64.0ms (1.4%)

simplify36.0ms (0.8%)

prune5.0ms (0.1%)

localize16.0ms (0.4%)

series224.0ms (4.9%)

rewrite38.0ms (0.8%)

simplify140.0ms (3.1%)

prune275.0ms (6%)

localize20.0ms (0.4%)

series108.0ms (2.4%)

rewrite26.0ms (0.6%)

simplify86.0ms (1.9%)

prune199.0ms (4.4%)

localize20.0ms (0.4%)

series96.0ms (2.1%)

rewrite41.0ms (0.9%)

simplify152.0ms (3.4%)

prune294.0ms (6.5%)

localize18.0ms (0.4%)

series84.0ms (1.8%)

rewrite16.0ms (0.4%)

simplify133.0ms (2.9%)

prune290.0ms (6.4%)

regimes882.0ms (19.4%)

simplify4.0ms (0.1%)

end1.0ms (0%)

sample1.1s (24.1%)

Profiling