Details

analyze1.5s (19.3%)

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)

sample2.5s (32.1%)

Results

1.4s	8256×	body	128	valid
1.0s	4976×	body	128	invalid

Compiler

Compiled 98 to 74 computations (24.5% saved)

simplify42.0ms (0.5%)

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

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

6.3b

Counts

3 → 2

Alt Table

Status	Error	Program
	9.8b	(-.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)
▶	6.3b	(-.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

9.8b

(-.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)

▶

6.3b

(-.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)

localize15.0ms (0.2%)

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)))
✓	0.4b	(/.f64 2 (*.f64 r r))
✓	2.2b	(fma.f64 r (.f64 (.f64 r (*.f64 w w)) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2)
✓	7.8b	(.f64 r (.f64 w w))

series114.0ms (1.4%)

Counts

4 → 108

Calls

4 calls:

58.0ms	(fma.f64 r (.f64 (.f64 r (*.f64 w w)) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2)
44.0ms	(.f64 (.f64 r (*.f64 w w)) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)))
9.0ms	(.f64 r (.f64 w w))
2.0ms	(/.f64 2 (*.f64 r r))

rewrite26.0ms (0.3%)

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:

11.0ms	(.f64 (.f64 r (*.f64 w w)) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)))
4.0ms	(.f64 r (.f64 w w))
3.0ms	(/.f64 2 (*.f64 r r))
0.0ms	(fma.f64 r (.f64 (.f64 r (*.f64 w w)) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2)

simplify152.0ms (1.9%)

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 → 196

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

prune277.0ms (3.5%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	188	8	196
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	189	9	198

Error

1.4b

Counts

198 → 9

Alt Table

Status	Error	Program
	6.3b	(-.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))
	30.1b	(-.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)))
	6.6b	(-.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))
	17.3b	(-.f64 (/.f64 2 (*.f64 r r)) 3/2)
	9.8b	(-.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)
	23.3b	(-.f64 (cbrt.f64 (/.f64 (.f64 (.f64 2 2) 2) (.f64 (.f64 (.f64 r r) (.f64 r r)) (.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))
	18.6b	(-.f64 (/.f64 2 (.f64 r r)) (fma.f64 (.f64 (.f64 w w) (.f64 r r)) 1/4 3/2))
▶	2.4b	(-.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))
	11.7b	(-.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 6646 to 3841 computations (42.2% saved)

localize15.0ms (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)
	0.4b	(/.f64 2 (*.f64 r r))
✓	2.2b	(fma.f64 r (.f64 (.f64 (*.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2)

series115.0ms (1.5%)

Counts

3 → 96

Calls

3 calls:

59.0ms	(fma.f64 r (.f64 (.f64 (*.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2)
47.0ms	(.f64 (.f64 (*.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)))
8.0ms	(.f64 (.f64 r w) w)

rewrite158.0ms (2%)

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:

140.0ms	(.f64 (.f64 r w) w)
10.0ms	(.f64 (.f64 (*.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)))
0.0ms	(fma.f64 r (.f64 (.f64 (*.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2)

simplify250.0ms (3.2%)

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 → 165

Iterations

Useful iterations: 3 (0.0ms)

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

prune368.0ms (4.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	190	4	194
Fresh	3	5	8
Picked	1	0	1
Done	0	0	0
Total	194	9	203

Error

1.4b

Counts

203 → 9

Alt Table

Status	Error	Program
▶	2.5b	(-.f64 (/.f64 (/.f64 2 r) r) (fma.f64 r (.f64 (.f64 (*.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2))
	2.8b	(-.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))))
	6.6b	(-.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))
	17.3b	(-.f64 (/.f64 2 (*.f64 r r)) 3/2)
	9.8b	(-.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)
	23.3b	(-.f64 (cbrt.f64 (/.f64 (.f64 (.f64 2 2) 2) (.f64 (.f64 (.f64 r r) (.f64 r r)) (.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))
	27.6b	(-.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)))))
	3.3b	(-.f64 (/.f64 2 (.f64 r r)) (.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))))
	11.7b	(-.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 6721 to 3889 computations (42.1% saved)

localize16.0ms (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)
✓	0.2b	(/.f64 (/.f64 2 r) r)
	2.2b	(fma.f64 r (.f64 (.f64 (*.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2)

series3.0ms (0%)

Counts

1 → 12

Calls

1 calls:

3.0ms

(/.f64 (/.f64 2 r) r)

rewrite11.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

75×	`times-frac_binary64`
43×	`*-un-lft-identity_binary64`
43×	`add-sqr-sqrt_binary64`
43×	`add-cube-cbrt_binary64`
13×	`associate-/l*_binary64`

Counts

1 → 72

Calls

1 calls:

4.0ms

(/.f64 (/.f64 2 r) r)

simplify157.0ms (2%)

Algorithm

1×	egg-herbie

Rules

508×	`associate-/r/_binary64`
476×	`*-commutative_binary64`
393×	`associate-*r/_binary64`
346×	`distribute-rgt-in_binary64`
345×	`fma-neg_binary64`

Counts

84 → 113

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	141	1388
1	293	1287
2	541	1206
3	1200	1182
4	2176	1177
5	3375	1127
6	4799	1097
7	4968	1097
8	4852	1097

prune413.0ms (5.3%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	275	3	278
Fresh	1	7	8
Picked	0	1	1
Done	0	0	0
Total	276	11	287

Error

1.3b

Counts

287 → 11

Alt Table

Status	Error	Program
✓	2.5b	(-.f64 (/.f64 (/.f64 2 r) r) (fma.f64 r (.f64 (.f64 (*.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2))
▶	2.8b	(-.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))))
	17.3b	(-.f64 (/.f64 2 (*.f64 r r)) 3/2)
	9.8b	(-.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)
	23.3b	(-.f64 (cbrt.f64 (/.f64 (.f64 (.f64 2 2) 2) (.f64 (.f64 (.f64 r r) (.f64 r r)) (.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))
	27.6b	(-.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)))))
	2.9b	(-.f64 (/.f64 (.f64 (cbrt.f64 (/.f64 2 r)) (cbrt.f64 (/.f64 2 r))) (/.f64 r (cbrt.f64 (/.f64 2 r)))) (fma.f64 r (.f64 (.f64 (.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2))
	3.3b	(-.f64 (/.f64 2 (.f64 r r)) (.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))))
	11.7b	(-.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))
	3.0b	(-.f64 (/.f64 (/.f64 (/.f64 2 r) (.f64 (cbrt.f64 r) (cbrt.f64 r))) (cbrt.f64 r)) (fma.f64 r (.f64 (.f64 (.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2))
	32.1b	(-.f64 (/.f64 (/.f64 1 (sqrt.f64 r)) (.f64 (pow.f64 r 3/2) 1/2)) (fma.f64 r (.f64 (.f64 (.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2))

Compiler

Compiled 9584 to 5741 computations (40.1% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f64 (.f64 r w) w)
	0.4b	(/.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)))
	2.2b	(fma.f64 r (.f64 (.f64 (*.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2)

series62.0ms (0.8%)

Counts

1 → 36

Calls

1 calls:

62.0ms

(*.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)))

rewrite14.0ms (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:

5.0ms

(*.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)))

simplify95.0ms (1.2%)

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 → 85

Iterations

Useful iterations: 3 (0.0ms)

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

prune408.0ms (5.2%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	256	2	258
Fresh	1	8	9
Picked	0	1	1
Done	0	1	1
Total	257	12	269

Error

1.3b

Counts

269 → 12

Alt Table

Status	Error	Program
✓	2.5b	(-.f64 (/.f64 (/.f64 2 r) r) (fma.f64 r (.f64 (.f64 (*.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2))
✓	2.8b	(-.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))))
	32.3b	(-.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 (fma.f64 r (.f64 (.f64 (fabs.f64 (.f64 w (sqrt.f64 r))) (fabs.f64 (*.f64 w (sqrt.f64 r)))) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2))))
	2.9b	(-.f64 (/.f64 (.f64 (cbrt.f64 (/.f64 2 r)) (cbrt.f64 (/.f64 2 r))) (/.f64 r (cbrt.f64 (/.f64 2 r)))) (fma.f64 r (.f64 (.f64 (.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2))
	17.3b	(-.f64 (/.f64 2 (*.f64 r r)) 3/2)
	9.8b	(-.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)
	23.3b	(-.f64 (cbrt.f64 (/.f64 (.f64 (.f64 2 2) 2) (.f64 (.f64 (.f64 r r) (.f64 r r)) (.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))
	27.6b	(-.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)))))
	3.0b	(-.f64 (/.f64 2 (.f64 r r)) (.f64 (.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)) (cbrt.f64 (fma.f64 r (.f64 (.f64 w (.f64 w r)) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2))) (sqrt.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)))))
	11.7b	(-.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))
	3.0b	(-.f64 (/.f64 (/.f64 (/.f64 2 r) (.f64 (cbrt.f64 r) (cbrt.f64 r))) (cbrt.f64 r)) (fma.f64 r (.f64 (.f64 (.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2))
	32.1b	(-.f64 (/.f64 (/.f64 1 (sqrt.f64 r)) (.f64 (pow.f64 r 3/2) 1/2)) (fma.f64 r (.f64 (.f64 (.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2))

Compiler

Compiled 12891 to 7396 computations (42.6% saved)

regimes840.0ms (10.7%)

Accuracy

Total 0.8b remaining (37.7%)

Threshold costs 0.8b (37.7%)

Counts

110 → 1

Compiler

Compiled 23615 to 16178 computations (31.5% saved)

simplify3.0ms (0%)

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

end244.0ms (3.1%)

Compiler: Compiled 475 to 324 computations (31.8% saved)

Details

analyze1.5s (19.3%)

sample2.5s (32.1%)

simplify42.0ms (0.5%)

prune5.0ms (0.1%)

localize15.0ms (0.2%)

series114.0ms (1.4%)

rewrite26.0ms (0.3%)

simplify152.0ms (1.9%)

prune277.0ms (3.5%)

localize15.0ms (0.2%)

series115.0ms (1.5%)

rewrite158.0ms (2%)

simplify250.0ms (3.2%)

prune368.0ms (4.7%)

localize16.0ms (0.2%)

series3.0ms (0%)

rewrite11.0ms (0.1%)

simplify157.0ms (2%)

prune413.0ms (5.3%)

localize16.0ms (0.2%)

series62.0ms (0.8%)

rewrite14.0ms (0.2%)

simplify95.0ms (1.2%)

prune408.0ms (5.2%)

regimes840.0ms (10.7%)

simplify3.0ms (0%)

end244.0ms (3.1%)

Profiling