Details

analyze310.0ms (3.9%)

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)

sample55.0ms (0.7%)

Algorithm

1×

intervals

Results

39.0ms

256×

body

128

valid

Compiler

Compiled 63 to 45 computations (28.6% saved)

simplify50.0ms (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

prune9.0ms (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)

localize32.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 3 (.f64 v v))
✓	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))))
✓	0.3b	(*.f64 (PI.f64) t)
✓	0.5b	(.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))))

series329.0ms (4.1%)

Counts

4 → 60

Calls

4 calls:

262.0ms	(/.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))))
56.0ms	(.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))))
6.0ms	(*.f64 (PI.f64) t)
5.0ms	(.f64 3 (.f64 v v))

rewrite75.0ms (0.9%)

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:

30.0ms	(/.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))))
14.0ms	(.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)

simplify253.0ms (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

prune517.0ms (6.4%)

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
	41.5b	(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) (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))))))
	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))))
	32.2b	(.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))))))
	41.5b	(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) (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))))))
	1.4b	(.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))))))
▶	0.3b	(.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))))))
	1.0b	(-.f64 (/.f64 1 (.f64 (PI.f64) (.f64 t (sqrt.f64 2)))) (fma.f64 241/16 (/.f64 (pow.f64 v 6) (.f64 (PI.f64) (.f64 t (sqrt.f64 2)))) (fma.f64 5/2 (/.f64 (.f64 v v) (.f64 (PI.f64) (.f64 t (sqrt.f64 2)))) (.f64 53/8 (/.f64 (pow.f64 v 4) (.f64 (PI.f64) (.f64 t (sqrt.f64 2))))))))
	0.6b	(/.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 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (*.f64 v v))))

Compiler

Compiled 9210 to 6020 computations (34.6% saved)

localize37.0ms (0.5%)

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)))))

series222.0ms (2.8%)

Counts

3 → 60

Calls

3 calls:

162.0ms

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

55.0ms

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

5.0ms

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

rewrite50.0ms (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:

17.0ms

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

13.0ms

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

9.0ms

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

simplify180.0ms (2.2%)

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

prune402.0ms (5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	147	3	150
Fresh	5	2	7
Picked	0	1	1
Done	0	1	1
Total	152	7	159

Error

0.0b

Counts

159 → 7

Alt Table

Status	Error	Program
	41.5b	(.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 (.f64 (fma.f64 v (neg.f64 v) 1) (.f64 (PI.f64) (sqrt.f64 2)))) (.f64 t (.f64 (fma.f64 v (neg.f64 v) 1) (.f64 (PI.f64) (sqrt.f64 2))))) (.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))))))
	41.5b	(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) (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))))))
✓	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))))
	0.3b	(.f64 (/.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) 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 (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))))))
✓	0.3b	(.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))))))
▶	0.3b	(.f64 (.f64 (/.f64 (.f64 (cbrt.f64 (fma.f64 v (.f64 v -5) 1)) (cbrt.f64 (fma.f64 v (.f64 v -5) 1))) t) (/.f64 (cbrt.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))))))

Compiler

Compiled 6614 to 4426 computations (33.1% saved)

localize42.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

series496.0ms (6.2%)

Counts

3 → 60

Calls

3 calls:

312.0ms

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

168.0ms

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

15.0ms

(*.f64 (cbrt.f64 (fma.f64 v (*.f64 v -5) 1)) (cbrt.f64 (fma.f64 v (*.f64 v -5) 1)))

rewrite156.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

127×	`add-exp-log_binary64`
91×	`add-cbrt-cube_binary64`
64×	`cbrt-unprod_binary64`
64×	`prod-exp_binary64`
36×	`associate-r_binary64`

Counts

3 → 165

Calls

3 calls:

41.0ms

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

32.0ms

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

9.0ms

(*.f64 (cbrt.f64 (fma.f64 v (*.f64 v -5) 1)) (cbrt.f64 (fma.f64 v (*.f64 v -5) 1)))

simplify439.0ms (5.5%)

Algorithm

1×	egg-herbie

Rules

514×	`associate-l_binary64`
477×	`associate-r_binary64`
384×	`fma-def_binary64`
364×	`associate-/r*_binary64`
320×	`times-frac_binary64`

Counts

225 → 283

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	442	11240
1	1225	9226
2	4918	9211
3	5119	9211

prune978.0ms (12.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	304	3	307
Fresh	4	0	4
Picked	1	0	1
Done	1	1	2
Total	310	4	314

Error

Counts

314 → 4

Alt Table

Status	Error	Program
✓	0.3b	(.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))))))
▶	0.1b	(/.f64 (.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (.f64 (.f64 v v) 3)))) (/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 (PI.f64) (.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v)))))) t)
	0.6b	(.f64 (.f64 (.f64 (/.f64 (.f64 (cbrt.f64 (fma.f64 v (.f64 v -5) 1)) (cbrt.f64 (fma.f64 v (.f64 v -5) 1))) t) (sqrt.f64 (/.f64 (cbrt.f64 (fma.f64 v (.f64 v -5) 1)) (.f64 (PI.f64) (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))))))) (sqrt.f64 (/.f64 (cbrt.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))))))
	0.3b	(.f64 (.f64 (/.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) t) (.f64 (PI.f64) (.f64 (sqrt.f64 2) (-.f64 1 (pow.f64 v 4))))) (+.f64 1 (.f64 v v))) (sqrt.f64 (/.f64 1 (-.f64 1 (.f64 3 (.f64 v v))))))

Compiler

Compiled 18403 to 13215 computations (28.2% saved)

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

series175.0ms (2.2%)

Counts

4 → 60

Calls

4 calls:

159.0ms	(/.f64 (.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (.f64 (.f64 v v) 3)))) (/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 (PI.f64) (.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v)))))) t)
9.0ms	(/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 (PI.f64) (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))))
4.0ms	(.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))
3.0ms	(.f64 (.f64 v v) 3)

rewrite44.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

40×	`add-cbrt-cube_binary64`
40×	`add-exp-log_binary64`
20×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64`
14×	`cbrt-unprod_binary64`

Counts

4 → 118

Calls

4 calls:

17.0ms	(/.f64 (.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (.f64 (.f64 v v) 3)))) (/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 (PI.f64) (.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v)))))) t)
7.0ms	(/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 (PI.f64) (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))))
6.0ms	(.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))
4.0ms	(.f64 (.f64 v v) 3)

simplify145.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

663×	`fma-def_binary64`
348×	`associate-r_binary64`
343×	`associate-/r*_binary64`
327×	`associate-l_binary64`
242×	`times-frac_binary64`

Counts

178 → 217

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	351	6396
1	966	5406
2	3966	5298
3	4964	5298

prune302.0ms (3.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	217	0	217
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	217	4	221

Error

Counts

221 → 4

Alt Table

Status	Error	Program
✓	0.3b	(.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))))))
✓	0.1b	(/.f64 (.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (.f64 (.f64 v v) 3)))) (/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 (PI.f64) (.f64 (sqrt.f64 2) (-.f64 1 (*.f64 v v)))))) t)
	0.6b	(.f64 (.f64 (.f64 (/.f64 (.f64 (cbrt.f64 (fma.f64 v (.f64 v -5) 1)) (cbrt.f64 (fma.f64 v (.f64 v -5) 1))) t) (sqrt.f64 (/.f64 (cbrt.f64 (fma.f64 v (.f64 v -5) 1)) (.f64 (PI.f64) (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))))))) (sqrt.f64 (/.f64 (cbrt.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))))))
	0.3b	(.f64 (.f64 (/.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) t) (.f64 (PI.f64) (.f64 (sqrt.f64 2) (-.f64 1 (pow.f64 v 4))))) (+.f64 1 (.f64 v v))) (sqrt.f64 (/.f64 1 (-.f64 1 (.f64 3 (.f64 v v))))))

Compiler

Compiled 9266 to 6463 computations (30.3% saved)

regimes1.6s (20.1%)

Accuracy

Total 0.1b remaining (93.5%)

Threshold costs 0.1b (93.5%)

Counts

180 → 1

Compiler

Compiled 41871 to 30299 computations (27.6% saved)

simplify4.0ms (0%)

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	49
1	39	49
2	52	49
3	58	49
4	61	49
5	59	49

end1.0ms (0%)

Compiler: Compiled 34 to 26 computations (23.5% saved)

sample1.1s (13.7%)

Algorithm

1×

intervals

Results

744.0ms	8000×	body	128	valid
0.0ms	3×	body	128	nan
0.0ms	1×	body	128	invalid

Compiler

Compiled 240 to 180 computations (25% saved)

Details

analyze310.0ms (3.9%)

sample55.0ms (0.7%)

simplify50.0ms (0.6%)

prune9.0ms (0.1%)

localize32.0ms (0.4%)

series329.0ms (4.1%)

rewrite75.0ms (0.9%)

simplify253.0ms (3.1%)

prune517.0ms (6.4%)

localize37.0ms (0.5%)

series222.0ms (2.8%)

rewrite50.0ms (0.6%)

simplify180.0ms (2.2%)

prune402.0ms (5%)

localize42.0ms (0.5%)

series496.0ms (6.2%)

rewrite156.0ms (1.9%)

simplify439.0ms (5.5%)

prune978.0ms (12.2%)

localize21.0ms (0.3%)

series175.0ms (2.2%)

rewrite44.0ms (0.5%)

simplify145.0ms (1.8%)

prune302.0ms (3.8%)

regimes1.6s (20.1%)

simplify4.0ms (0%)

end1.0ms (0%)

sample1.1s (13.7%)

Profiling