Details

analyze2.7s (19.5%)

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%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	99.9%	0.1%	7
0%	99.9%	0.1%	8
0%	96.7%	3.3%	9
16.4%	74.9%	8.7%	10
17.6%	71.8%	10.7%	11
26.3%	59.5%	14.2%	12
30.7%	45.7%	23.5%	13
31.7%	43.5%	24.7%	14

Compiler

Compiled 33 to 25 computations (24.2% saved)

sample133.0ms (1%)

Algorithm

1×

intervals

Results

47.0ms	256×	body	128	valid
29.0ms	163×	body	128	invalid

Compiler

Compiled 68 to 52 computations (23.5% saved)

simplify59.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

721×	`fma-neg_binary64`
464×	`div-sub_binary64`
380×	`associate-l_binary64`
365×	`associate-r_binary64`
276×	`neg-mul-1_binary64`

Counts

1 → 2

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	23	43
1	59	43
2	163	37
3	607	35
4	2744	33
5	4748	33
6	4938	33

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

6.9b

Counts

3 → 2

Alt Table

Status	Error	Program
	12.2b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 (.f64 1/8 (-.f64 3 (.f64 2 v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 1 v))) 9/2)
▶	6.9b	(-.f64 (/.f64 2 (.f64 r r)) (fma.f64 r (.f64 (.f64 r (.f64 w w)) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2))

Status

Error

Program

12.2b

(-.f64 (-.f64 (+.f64 3 (/.f64 2 (*.f64 r r))) (/.f64 (*.f64 (*.f64 1/8 (-.f64 3 (*.f64 2 v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 1 v))) 9/2)

▶

6.9b

(-.f64 (/.f64 2 (*.f64 r r)) (fma.f64 r (*.f64 (*.f64 r (*.f64 w w)) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2))

Compiler

Compiled 171 to 121 computations (29.2% saved)

localize78.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (.f64 r (*.f64 w w)) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)))
✓	0.3b	(/.f64 2 (*.f64 r r))
✓	1.5b	(fma.f64 r (.f64 (.f64 r (*.f64 w w)) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2)
✓	8.0b	(.f64 r (.f64 w w))

rewrite52.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

35×	`add-cbrt-cube_binary64`
35×	`add-exp-log_binary64`
27×	`add-sqr-sqrt_binary64`
26×	`*-un-lft-identity_binary64`
25×	`associate-r_binary64`

Counts

4 → 105

Calls

4 calls:

23.0ms	(.f64 (.f64 r (*.f64 w w)) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)))
8.0ms	(.f64 r (.f64 w w))
6.0ms	(/.f64 2 (*.f64 r r))
1.0ms	(fma.f64 r (.f64 (.f64 r (*.f64 w w)) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2)

series460.0ms (3.3%)

Counts

4 → 108

Calls

4 calls:

202.0ms	(fma.f64 r (.f64 (.f64 r (*.f64 w w)) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2)
190.0ms	(.f64 (.f64 r (*.f64 w w)) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)))
47.0ms	(.f64 r (.f64 w w))
20.0ms	(/.f64 2 (*.f64 r r))

simplify366.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

871×	`fma-def_binary64`
703×	`times-frac_binary64`
347×	`associate-l_binary64`
306×	`associate-r_binary64`
172×	`*-commutative_binary64`

Counts

213 → 403

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	266	5076
1	712	4298
2	2670	4167
3	4781	4167
4	4974	4167
5	4962	4167

prune590.0ms (4.3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	394	9	403
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	395	10	405

Error

1.5b

Counts

405 → 10

Alt Table

Status	Error	Program
	22.1b	(-.f64 (/.f64 2 (*.f64 r r)) 3/2)
	12.2b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 (.f64 1/8 (-.f64 3 (.f64 2 v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 1 v))) 9/2)
	6.9b	(-.f64 (/.f64 (/.f64 2 r) r) (fma.f64 r (.f64 (.f64 r (*.f64 w w)) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2))
	34.5b	(-.f64 (/.f64 2 (.f64 r r)) (.f64 (-.f64 (.f64 3/8 (/.f64 (pow.f64 w 2) (-.f64 1 v))) (.f64 1/4 (/.f64 (*.f64 v (pow.f64 w 2)) (-.f64 1 v)))) (pow.f64 r 2)))
	12.5b	(-.f64 (/.f64 2 (.f64 r r)) (fma.f64 r (/.f64 (.f64 w (.f64 w (.f64 r (fma.f64 v -1/4 3/8)))) (-.f64 1 v)) 3/2))
▶	1.7b	(-.f64 (/.f64 2 (.f64 r r)) (fma.f64 r (.f64 (.f64 (.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2))
	7.1b	(-.f64 (/.f64 (sqrt.f64 2) (/.f64 r (/.f64 (sqrt.f64 2) r))) (fma.f64 r (.f64 (.f64 r (*.f64 w w)) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2))
	7.1b	(-.f64 (/.f64 (sqrt.f64 2) (/.f64 (.f64 r r) (sqrt.f64 2))) (fma.f64 r (.f64 (.f64 r (.f64 w w)) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2))
	7.3b	(-.f64 (/.f64 2 (.f64 r r)) (.f64 (sqrt.f64 (fma.f64 r (.f64 (.f64 r (.f64 w w)) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2)) (sqrt.f64 (fma.f64 r (.f64 (.f64 r (.f64 w w)) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2))))
	24.1b	(-.f64 (/.f64 2 (.f64 r r)) (.f64 (.f64 (.f64 w w) r) (*.f64 (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)) r)))

Compiler

Compiled 6709 to 3893 computations (42% saved)

localize33.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (.f64 (*.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)))
✓	0.2b	(.f64 (.f64 r w) w)
	0.3b	(/.f64 2 (*.f64 r r))
✓	1.5b	(fma.f64 r (.f64 (.f64 (*.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2)

rewrite38.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`add-cbrt-cube_binary64`
29×	`add-exp-log_binary64`
27×	`associate-r_binary64`
23×	`*-un-lft-identity_binary64`
23×	`add-sqr-sqrt_binary64`

Counts

3 → 81

Calls

3 calls:

21.0ms	(.f64 (.f64 (*.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)))
7.0ms	(.f64 (.f64 r w) w)
1.0ms	(fma.f64 r (.f64 (.f64 (*.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2)

series400.0ms (2.9%)

Counts

3 → 96

Calls

3 calls:

181.0ms	(.f64 (.f64 (*.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)))
173.0ms	(fma.f64 r (.f64 (.f64 (*.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2)
46.0ms	(.f64 (.f64 r w) w)

simplify273.0ms (2%)

Algorithm

1×	egg-herbie

Rules

778×	`times-frac_binary64`
486×	`associate-l_binary64`
374×	`associate-r_binary64`
186×	`fma-neg_binary64`
172×	`*-commutative_binary64`

Counts

177 → 342

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	227	4716
1	660	3983
2	2925	3947
3	4679	3943
4	4970	3943

prune1.2s (8.9%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	396	3	399
Fresh	2	7	9
Picked	0	1	1
Done	0	0	0
Total	398	11	409

Error

1.5b

Counts

409 → 11

Alt Table

Status	Error	Program
	22.1b	(-.f64 (/.f64 2 (*.f64 r r)) 3/2)
	12.2b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 (.f64 1/8 (-.f64 3 (.f64 2 v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 1 v))) 9/2)
	6.9b	(-.f64 (/.f64 (/.f64 2 r) r) (fma.f64 r (.f64 (.f64 r (*.f64 w w)) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2))
✓	1.7b	(-.f64 (/.f64 2 (.f64 r r)) (fma.f64 r (.f64 (.f64 (.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2))
	7.1b	(-.f64 (/.f64 (sqrt.f64 2) (/.f64 r (/.f64 (sqrt.f64 2) r))) (fma.f64 r (.f64 (.f64 r (*.f64 w w)) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2))
	7.1b	(-.f64 (/.f64 (sqrt.f64 2) (/.f64 (.f64 r r) (sqrt.f64 2))) (fma.f64 r (.f64 (.f64 r (.f64 w w)) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2))
	2.1b	(-.f64 (/.f64 2 (.f64 r r)) (fma.f64 r (.f64 (.f64 (.f64 (.f64 r w) w) (.f64 (cbrt.f64 (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) (cbrt.f64 (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))))) (cbrt.f64 (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)))) 3/2))
▶	2.0b	(-.f64 (/.f64 2 (.f64 r r)) (.f64 (sqrt.f64 (fma.f64 r (.f64 (.f64 (.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2)) (sqrt.f64 (fma.f64 r (.f64 (.f64 (.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2))))
	30.5b	(-.f64 (/.f64 2 (.f64 r r)) (.f64 (.f64 w w) (.f64 (*.f64 r r) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)))))
	24.1b	(-.f64 (/.f64 2 (.f64 r r)) (.f64 (.f64 (.f64 w w) r) (*.f64 (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)) r)))
	12.5b	(-.f64 (/.f64 2 (.f64 r r)) (fma.f64 r (/.f64 (.f64 w (.f64 w (.f64 r (fma.f64 v -1/4 3/8)))) (-.f64 1 v)) 3/2))

Compiler

Compiled 6720 to 3911 computations (41.8% saved)

localize36.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(/.f64 2 (*.f64 r r))
✓	0.8b	(.f64 (sqrt.f64 (fma.f64 r (.f64 (.f64 (.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2)) (sqrt.f64 (fma.f64 r (.f64 (.f64 (*.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2)))
	1.5b	(fma.f64 r (.f64 (.f64 (*.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2)
	1.5b	(fma.f64 r (.f64 (.f64 (*.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2)

rewrite32.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`add-sqr-sqrt_binary64`
18×	`sqrt-prod_binary64`
16×	`pow1_binary64`
9×	`*-un-lft-identity_binary64`
9×	`add-cube-cbrt_binary64`

Counts

1 → 53

Calls

1 calls:

20.0ms

(*.f64 (sqrt.f64 (fma.f64 r (*.f64 (*.f64 (*.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2)) (sqrt.f64 (fma.f64 r (*.f64 (*.f64 (*.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2)))

series198.0ms (1.4%)

Counts

1 → 36

Calls

1 calls:

198.0ms

(*.f64 (sqrt.f64 (fma.f64 r (*.f64 (*.f64 (*.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2)) (sqrt.f64 (fma.f64 r (*.f64 (*.f64 (*.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2)))

simplify204.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

615×	`associate-l_binary64`
553×	`fma-neg_binary64`
510×	`associate-r_binary64`
411×	`fma-def_binary64`
204×	`associate-/l*_binary64`

Counts

89 → 170

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	113	3474
1	291	3052
2	984	2732
3	4271	2656
4	5202	2656

prune786.0ms (5.7%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	546	2	548
Fresh	1	8	9
Picked	0	1	1
Done	0	1	1
Total	547	12	559

Error

1.5b

Counts

559 → 12

Alt Table

Status	Error	Program
	22.1b	(-.f64 (/.f64 2 (*.f64 r r)) 3/2)
	12.2b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 (.f64 1/8 (-.f64 3 (.f64 2 v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 1 v))) 9/2)
	6.9b	(-.f64 (/.f64 (/.f64 2 r) r) (fma.f64 r (.f64 (.f64 r (*.f64 w w)) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2))
	2.3b	(-.f64 (/.f64 2 (.f64 r r)) (.f64 (sqrt.f64 (fma.f64 r (.f64 (.f64 (.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2)) (sqrt.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 r (.f64 (.f64 (.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2)) (cbrt.f64 (fma.f64 r (.f64 (.f64 (.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2))) (cbrt.f64 (fma.f64 r (.f64 (.f64 (.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2))))))
✓	2.0b	(-.f64 (/.f64 2 (.f64 r r)) (.f64 (sqrt.f64 (fma.f64 r (.f64 (.f64 (.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2)) (sqrt.f64 (fma.f64 r (.f64 (.f64 (.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2))))
	14.7b	(-.f64 (/.f64 2 (.f64 r r)) (sqrt.f64 (pow.f64 (sqrt.f64 (fma.f64 r (.f64 (.f64 w (.f64 w r)) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2)) 4)))
✓	1.7b	(-.f64 (/.f64 2 (.f64 r r)) (fma.f64 r (.f64 (.f64 (.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2))
	7.1b	(-.f64 (/.f64 (sqrt.f64 2) (/.f64 r (/.f64 (sqrt.f64 2) r))) (fma.f64 r (.f64 (.f64 r (*.f64 w w)) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2))
	7.1b	(-.f64 (/.f64 (sqrt.f64 2) (/.f64 (.f64 r r) (sqrt.f64 2))) (fma.f64 r (.f64 (.f64 r (.f64 w w)) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2))
▶	2.1b	(-.f64 (/.f64 2 (.f64 r r)) (fma.f64 r (.f64 (.f64 (.f64 (.f64 r w) w) (.f64 (cbrt.f64 (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) (cbrt.f64 (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))))) (cbrt.f64 (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)))) 3/2))
	30.5b	(-.f64 (/.f64 2 (.f64 r r)) (.f64 (.f64 w w) (.f64 (*.f64 r r) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)))))
	24.1b	(-.f64 (/.f64 2 (.f64 r r)) (.f64 (.f64 (.f64 w w) r) (*.f64 (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)) r)))

Compiler

Compiled 10235 to 6021 computations (41.2% saved)

localize40.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(cbrt.f64 (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)))
	0.4b	(cbrt.f64 (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)))
✓	0.4b	(cbrt.f64 (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)))
✓	1.5b	(fma.f64 r (.f64 (.f64 (.f64 (.f64 r w) w) (*.f64 (cbrt.f64 (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) (cbrt.f64 (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))))) (cbrt.f64 (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)))) 3/2)

rewrite16.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`cbrt-prod_binary64`
21×	`*-un-lft-identity_binary64`
21×	`add-sqr-sqrt_binary64`
18×	`times-frac_binary64`
12×	`add-cube-cbrt_binary64`

Counts

2 → 45

Calls

2 calls:

8.0ms

(cbrt.f64 (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)))

1.0ms

(fma.f64 r (*.f64 (*.f64 (*.f64 (*.f64 r w) w) (*.f64 (cbrt.f64 (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) (cbrt.f64 (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))))) (cbrt.f64 (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)))) 3/2)

series192.0ms (1.4%)

Counts

2 → 48

Calls

2 calls:

180.0ms

(fma.f64 r (*.f64 (*.f64 (*.f64 (*.f64 r w) w) (*.f64 (cbrt.f64 (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) (cbrt.f64 (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))))) (cbrt.f64 (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)))) 3/2)

11.0ms

(cbrt.f64 (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)))

simplify198.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

701×	`fma-def_binary64`
487×	`times-frac_binary64`
308×	`associate-/l*_binary64`
233×	`associate-/r*_binary64`
218×	`fma-neg_binary64`

Counts

93 → 160

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	201	2997
1	463	2791
2	1484	2582
3	4612	2582
4	5051	2582

prune801.0ms (5.8%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	376	0	376
Fresh	0	9	9
Picked	0	1	1
Done	0	2	2
Total	376	12	388

Error

1.5b

Counts

388 → 12

Alt Table

Status	Error	Program
	22.1b	(-.f64 (/.f64 2 (*.f64 r r)) 3/2)
	12.2b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 (.f64 1/8 (-.f64 3 (.f64 2 v))) (.f64 (.f64 (*.f64 w w) r) r)) (-.f64 1 v))) 9/2)
	6.9b	(-.f64 (/.f64 (/.f64 2 r) r) (fma.f64 r (.f64 (.f64 r (*.f64 w w)) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2))
	2.3b	(-.f64 (/.f64 2 (.f64 r r)) (.f64 (sqrt.f64 (fma.f64 r (.f64 (.f64 (.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2)) (sqrt.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 r (.f64 (.f64 (.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2)) (cbrt.f64 (fma.f64 r (.f64 (.f64 (.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2))) (cbrt.f64 (fma.f64 r (.f64 (.f64 (.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2))))))
✓	2.0b	(-.f64 (/.f64 2 (.f64 r r)) (.f64 (sqrt.f64 (fma.f64 r (.f64 (.f64 (.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2)) (sqrt.f64 (fma.f64 r (.f64 (.f64 (.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2))))
	14.7b	(-.f64 (/.f64 2 (.f64 r r)) (sqrt.f64 (pow.f64 (sqrt.f64 (fma.f64 r (.f64 (.f64 w (.f64 w r)) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2)) 4)))
✓	1.7b	(-.f64 (/.f64 2 (.f64 r r)) (fma.f64 r (.f64 (.f64 (.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2))
	7.1b	(-.f64 (/.f64 (sqrt.f64 2) (/.f64 r (/.f64 (sqrt.f64 2) r))) (fma.f64 r (.f64 (.f64 r (*.f64 w w)) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2))
	7.1b	(-.f64 (/.f64 (sqrt.f64 2) (/.f64 (.f64 r r) (sqrt.f64 2))) (fma.f64 r (.f64 (.f64 r (.f64 w w)) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2))
✓	2.1b	(-.f64 (/.f64 2 (.f64 r r)) (fma.f64 r (.f64 (.f64 (.f64 (.f64 r w) w) (.f64 (cbrt.f64 (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) (cbrt.f64 (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))))) (cbrt.f64 (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)))) 3/2))
	30.5b	(-.f64 (/.f64 2 (.f64 r r)) (.f64 (.f64 w w) (.f64 (*.f64 r r) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)))))
	24.1b	(-.f64 (/.f64 2 (.f64 r r)) (.f64 (.f64 (.f64 w w) r) (*.f64 (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)) r)))

Compiler

Compiled 10366 to 7077 computations (31.7% saved)

regimes1.3s (9.6%)

Accuracy

Total 0.8b remaining (32.1%)

Threshold costs 0.8b (32.1%)

Compiler

Compiled 18490 to 12864 computations (30.4% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
4×	`+-commutative_binary64`
4×	`sub-neg_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	33
1	28	33
2	35	33
3	39	33
4	41	33
5	40	33

end1.0ms (0%)

Compiler: Compiled 26 to 18 computations (30.8% saved)

sample3.6s (25.9%)

Algorithm

1×

intervals

Results

1.4s	8000×	body	128	valid
913.0ms	4983×	body	128	invalid

Compiler

Compiled 474 to 331 computations (30.2% saved)

Details

analyze2.7s (19.5%)

sample133.0ms (1%)

simplify59.0ms (0.4%)

prune9.0ms (0.1%)

localize78.0ms (0.6%)

rewrite52.0ms (0.4%)

series460.0ms (3.3%)

simplify366.0ms (2.6%)

prune590.0ms (4.3%)

localize33.0ms (0.2%)

rewrite38.0ms (0.3%)

series400.0ms (2.9%)

simplify273.0ms (2%)

prune1.2s (8.9%)

localize36.0ms (0.3%)

rewrite32.0ms (0.2%)

series198.0ms (1.4%)

simplify204.0ms (1.5%)

prune786.0ms (5.7%)

localize40.0ms (0.3%)

rewrite16.0ms (0.1%)

series192.0ms (1.4%)

simplify198.0ms (1.4%)

prune801.0ms (5.8%)

regimes1.3s (9.6%)

simplify8.0ms (0.1%)

end1.0ms (0%)

sample3.6s (25.9%)

Profiling