Details

analyze1.6s (18.3%)

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)

sample55.0ms (0.6%)

Algorithm

1×

intervals

Results

24.0ms	256×	body	128	valid
15.0ms	159×	body	128	invalid

Compiler

Compiled 68 to 52 computations (23.5% saved)

simplify49.0ms (0.6%)

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

7.3b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	7.3b	(-.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))
	13.5b	(-.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)

Status

Error

Program

▶

7.3b

(-.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))

13.5b

(-.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)

Compiler

Compiled 171 to 121 computations (29.2% saved)

localize16.0ms (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)))
✓	0.3b	(/.f64 2 (*.f64 r r))
✓	1.7b	(fma.f64 r (.f64 (.f64 r (*.f64 w w)) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2)
✓	7.6b	(.f64 r (.f64 w w))

series145.0ms (1.7%)

Counts

4 → 108

Calls

4 calls:

88.0ms	(fma.f64 r (.f64 (.f64 r (*.f64 w w)) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2)
45.0ms	(.f64 (.f64 r (*.f64 w w)) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)))
10.0ms	(.f64 r (.f64 w w))
3.0ms	(/.f64 2 (*.f64 r r))

rewrite28.0ms (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)))
5.0ms	(.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)

simplify157.0ms (1.8%)

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

prune363.0ms (4.1%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	185	11	196
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	186	12	198

Error

1.7b

Counts

198 → 12

Alt Table

Status	Error	Program
	7.3b	(-.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))
	7.8b	(-.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))))
▶	2.0b	(-.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))
	11.6b	(-.f64 (/.f64 2 (.f64 r r)) (fma.f64 r (/.f64 (.f64 (-.f64 (.f64 3/8 (pow.f64 w 2)) (.f64 1/4 (*.f64 v (pow.f64 w 2)))) r) (-.f64 1 v)) 3/2))
	13.5b	(-.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)
	24.1b	(-.f64 (cbrt.f64 (/.f64 8 (pow.f64 r 6))) (fma.f64 r (.f64 (.f64 r (*.f64 w w)) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2))
	11.8b	(-.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))
	25.2b	(-.f64 (/.f64 2 (*.f64 r r)) 3/2)
	7.5b	(-.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))
	21.4b	(-.f64 (/.f64 2 (.f64 r r)) (fma.f64 (.f64 (.f64 w w) (.f64 r r)) 1/4 3/2))
	7.4b	(-.f64 (.f64 (sqrt.f64 (/.f64 2 (.f64 r r))) (sqrt.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))
	19.9b	(-.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 6826 to 3965 computations (41.9% saved)

localize14.0ms (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))
✓	1.7b	(fma.f64 r (.f64 (.f64 (*.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2)

series107.0ms (1.2%)

Counts

3 → 96

Calls

3 calls:

55.0ms	(fma.f64 r (.f64 (.f64 (*.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2)
43.0ms	(.f64 (.f64 (*.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)))
8.0ms	(.f64 (.f64 r w) w)

rewrite22.0ms (0.2%)

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:

10.0ms	(.f64 (.f64 (*.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)))
4.0ms	(.f64 (.f64 r w) w)
0.0ms	(fma.f64 r (.f64 (.f64 (*.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2)

simplify126.0ms (1.4%)

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

prune326.0ms (3.7%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	190	4	194
Fresh	2	9	11
Picked	1	0	1
Done	0	0	0
Total	193	13	206

Error

1.7b

Counts

206 → 13

Alt Table

Status	Error	Program
	7.8b	(-.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))))
▶	2.0b	(-.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))
	7.5b	(-.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))
	5.5b	(-.f64 (/.f64 2 (.f64 r r)) (fma.f64 r (.f64 (.f64 (.f64 (*.f64 r w) w) (fma.f64 v -1/4 3/8)) (/.f64 1 (-.f64 1 v))) 3/2))
	11.6b	(-.f64 (/.f64 2 (.f64 r r)) (fma.f64 r (/.f64 (.f64 (-.f64 (.f64 3/8 (pow.f64 w 2)) (.f64 1/4 (*.f64 v (pow.f64 w 2)))) r) (-.f64 1 v)) 3/2))
	2.0b	(-.f64 (/.f64 2 (.f64 r r)) (fma.f64 r (.f64 (.f64 r w) (.f64 w (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)))) 3/2))
	21.4b	(-.f64 (/.f64 2 (.f64 r r)) (fma.f64 (.f64 (.f64 w w) (.f64 r r)) 1/4 3/2))
	2.0b	(-.f64 (/.f64 2 (.f64 r r)) (fma.f64 r (.f64 w (.f64 (.f64 w r) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)))) 3/2))
	11.8b	(-.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))
	25.2b	(-.f64 (/.f64 2 (*.f64 r r)) 3/2)
	7.4b	(-.f64 (.f64 (sqrt.f64 (/.f64 2 (.f64 r r))) (sqrt.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))
	24.1b	(-.f64 (cbrt.f64 (/.f64 8 (pow.f64 r 6))) (fma.f64 r (.f64 (.f64 r (*.f64 w w)) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2))
	19.9b	(-.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 6831 to 3979 computations (41.8% 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 2 r) r)
	0.2b	(.f64 (.f64 r w) w)
	1.7b	(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)

rewrite10.0ms (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)

simplify119.0ms (1.4%)

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

prune445.0ms (5.1%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	275	3	278
Fresh	2	10	12
Picked	0	1	1
Done	0	0	0
Total	277	14	291

Error

1.7b

Counts

291 → 14

Alt Table

Status	Error	Program
	7.8b	(-.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))))
✓	2.0b	(-.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))
	11.6b	(-.f64 (/.f64 2 (.f64 r r)) (fma.f64 r (/.f64 (.f64 (-.f64 (.f64 3/8 (pow.f64 w 2)) (.f64 1/4 (*.f64 v (pow.f64 w 2)))) r) (-.f64 1 v)) 3/2))
▶	2.0b	(-.f64 (/.f64 2 (.f64 r r)) (fma.f64 r (.f64 (.f64 r w) (.f64 w (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)))) 3/2))
	11.8b	(-.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))
	25.2b	(-.f64 (/.f64 2 (*.f64 r r)) 3/2)
	5.5b	(-.f64 (/.f64 2 (.f64 r r)) (fma.f64 r (.f64 (.f64 (.f64 (*.f64 r w) w) (fma.f64 v -1/4 3/8)) (/.f64 1 (-.f64 1 v))) 3/2))
	2.5b	(-.f64 (.f64 (/.f64 1 (.f64 r (cbrt.f64 r))) (/.f64 2 (pow.f64 (cbrt.f64 r) 2))) (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)) (fma.f64 r (.f64 w (.f64 (.f64 w r) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)))) 3/2))
	7.4b	(-.f64 (.f64 (sqrt.f64 (/.f64 2 (.f64 r r))) (sqrt.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))
	24.1b	(-.f64 (cbrt.f64 (/.f64 8 (pow.f64 r 6))) (fma.f64 r (.f64 (.f64 r (*.f64 w w)) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2))
	19.9b	(-.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)))
	21.4b	(-.f64 (/.f64 (/.f64 2 r) r) (fma.f64 (.f64 (.f64 w w) (*.f64 r r)) 1/4 3/2))
	33.8b	(-.f64 (/.f64 (/.f64 2 (pow.f64 r 3/2)) (sqrt.f64 r)) (fma.f64 r (.f64 (.f64 (*.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2))

Compiler

Compiled 9618 to 5781 computations (39.9% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 w (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)))
✓	0.2b	(.f64 (.f64 r w) (*.f64 w (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))))
	0.3b	(/.f64 2 (*.f64 r r))
✓	1.7b	(fma.f64 r (.f64 (.f64 r w) (*.f64 w (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)))) 3/2)

series113.0ms (1.3%)

Counts

3 → 96

Calls

3 calls:

56.0ms

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

43.0ms

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

13.0ms

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

rewrite25.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 84

Calls

3 calls:

9.0ms

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

9.0ms

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

0.0ms

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

simplify200.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

592×	`times-frac_binary64`
347×	`associate-l_binary64`
340×	`associate-r_binary64`
273×	`fma-neg_binary64`
252×	`distribute-rgt-out_binary64`

Counts

180 → 175

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	256	5086
1	723	4262
2	2712	4136
3	4838	4134
4	4975	4134

prune716.0ms (8.1%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	200	4	204
Fresh	2	10	12
Picked	1	0	1
Done	0	1	1
Total	203	15	218

Error

0.0b

Counts

218 → 15

Alt Table

Status	Error	Program
	7.8b	(-.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))))
✓	2.0b	(-.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))
	24.1b	(-.f64 (cbrt.f64 (/.f64 8 (pow.f64 r 6))) (fma.f64 r (.f64 (.f64 r (*.f64 w w)) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2))
	5.5b	(-.f64 (/.f64 2 (.f64 r r)) (fma.f64 r (/.f64 (.f64 (.f64 r w) (.f64 w (fma.f64 v -1/4 3/8))) (-.f64 1 v)) 3/2))
	21.4b	(-.f64 (/.f64 (/.f64 2 r) r) (fma.f64 (.f64 (.f64 w w) (*.f64 r r)) 1/4 3/2))
	15.5b	(-.f64 (/.f64 2 (.f64 r r)) (.f64 (.f64 (cbrt.f64 (fma.f64 (.f64 w (.f64 r r)) (.f64 (/.f64 w (-.f64 1 v)) (fma.f64 v -1/4 3/8)) 3/2)) (cbrt.f64 (fma.f64 (.f64 w (.f64 r r)) (.f64 (/.f64 w (-.f64 1 v)) (fma.f64 v -1/4 3/8)) 3/2))) (cbrt.f64 (fma.f64 (.f64 w (.f64 r r)) (.f64 (/.f64 w (-.f64 1 v)) (fma.f64 v -1/4 3/8)) 3/2))))
	2.5b	(-.f64 (.f64 (/.f64 1 (.f64 r (cbrt.f64 r))) (/.f64 2 (pow.f64 (cbrt.f64 r) 2))) (fma.f64 r (.f64 (.f64 (*.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2))
	11.6b	(-.f64 (/.f64 2 (.f64 r r)) (fma.f64 r (/.f64 (.f64 (-.f64 (.f64 3/8 (pow.f64 w 2)) (.f64 1/4 (*.f64 v (pow.f64 w 2)))) r) (-.f64 1 v)) 3/2))
	2.0b	(-.f64 (/.f64 2 (.f64 r r)) (fma.f64 r (.f64 w (.f64 (.f64 w r) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)))) 3/2))
	7.4b	(-.f64 (.f64 (sqrt.f64 (/.f64 2 (.f64 r r))) (sqrt.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))
	19.9b	(-.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)))
	15.4b	(-.f64 (/.f64 2 (.f64 r r)) (.f64 (sqrt.f64 (fma.f64 (.f64 w (.f64 r r)) (.f64 (/.f64 w (-.f64 1 v)) (fma.f64 v -1/4 3/8)) 3/2)) (sqrt.f64 (fma.f64 (.f64 w (.f64 r r)) (.f64 (/.f64 w (-.f64 1 v)) (fma.f64 v -1/4 3/8)) 3/2))))
	33.8b	(-.f64 (/.f64 (/.f64 2 (pow.f64 r 3/2)) (sqrt.f64 r)) (fma.f64 r (.f64 (.f64 (*.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2))
	11.8b	(-.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))
	2.4b	(-.f64 (/.f64 2 (.f64 r r)) (fma.f64 r (.f64 (.f64 r w) (.f64 (.f64 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))

Compiler

Compiled 6828 to 4121 computations (39.6% saved)

regimes2.2s (24.9%)

Accuracy

Total 0.2b remaining (76.8%)

Threshold costs 0.2b (76.8%)

Counts

128 → 2

Compiler

Compiled 23610 to 16515 computations (30.1% saved)

bsearch5.0ms (0.1%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

9×	`*-commutative_binary64`
7×	`+-commutative_binary64`
7×	`sub-neg_binary64`
4×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	105
1	49	105
2	61	105
3	69	105
4	73	105
5	72	105

end1.0ms (0%)

Compiler: Compiled 75 to 48 computations (36% saved)

sample1.9s (21.7%)

Algorithm

1×

intervals

Results

734.0ms	8000×	body	128	valid
425.0ms	4673×	body	128	invalid

Compiler

Compiled 618 to 423 computations (31.6% saved)

Details

analyze1.6s (18.3%)

sample55.0ms (0.6%)

simplify49.0ms (0.6%)

prune5.0ms (0.1%)

localize16.0ms (0.2%)

series145.0ms (1.7%)

rewrite28.0ms (0.3%)

simplify157.0ms (1.8%)

prune363.0ms (4.1%)

localize14.0ms (0.2%)

series107.0ms (1.2%)

rewrite22.0ms (0.2%)

simplify126.0ms (1.4%)

prune326.0ms (3.7%)

localize15.0ms (0.2%)

series3.0ms (0%)

rewrite10.0ms (0.1%)

simplify119.0ms (1.4%)

prune445.0ms (5.1%)

localize15.0ms (0.2%)

series113.0ms (1.3%)

rewrite25.0ms (0.3%)

simplify200.0ms (2.3%)

prune716.0ms (8.1%)

regimes2.2s (24.9%)

bsearch5.0ms (0.1%)

simplify5.0ms (0.1%)

end1.0ms (0%)

sample1.9s (21.7%)

Profiling