Details

analyze1.5s (15.3%)

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 (26%)

Results

1.5s	8256×	body	128	valid
858.0ms	5170×	body	128	invalid

Compiler

Compiled 98 to 74 computations (24.5% saved)

simplify41.0ms (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

prune5.0ms (0%)

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

9.7b

Counts

3 → 2

Alt Table

Status	Error	Program
	12.1b	(-.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)
▶	9.7b	(-.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

12.1b

(-.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)

▶

9.7b

(-.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)

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)))
✓	0.6b	(/.f64 2 (*.f64 r r))
✓	2.7b	(fma.f64 r (.f64 (.f64 r (*.f64 w w)) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2)
✓	10.9b	(.f64 r (.f64 w w))

series134.0ms (1.4%)

Counts

4 → 108

Calls

4 calls:

68.0ms	(.f64 (.f64 r (*.f64 w w)) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)))
55.0ms	(fma.f64 r (.f64 (.f64 r (*.f64 w w)) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2)
8.0ms	(.f64 r (.f64 w w))
2.0ms	(/.f64 2 (*.f64 r r))

rewrite25.0ms (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:

10.0ms	(.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)

simplify158.0ms (1.7%)

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

prune299.0ms (3.1%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	184	12	196
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	185	13	198

Error

1.0b

Counts

198 → 13

Alt Table

Status	Error	Program
	25.2b	(-.f64 (cbrt.f64 (.f64 (.f64 (/.f64 2 (.f64 r r)) (/.f64 2 (.f64 r r))) (/.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))
	12.1b	(-.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)
	9.9b	(-.f64 (/.f64 2 (.f64 r r)) (fma.f64 r (.f64 (.f64 (.f64 (cbrt.f64 r) (cbrt.f64 r)) (.f64 (cbrt.f64 r) (.f64 w w))) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2))
	21.1b	(-.f64 (/.f64 2 (.f64 r r)) (fma.f64 (/.f64 (.f64 (.f64 (.f64 w w) (.f64 r r)) v) (-.f64 1 v)) -1/4 (fma.f64 3/8 (/.f64 (.f64 (.f64 w w) (.f64 r r)) (-.f64 1 v)) 3/2)))
	20.6b	(-.f64 (/.f64 2 (*.f64 r r)) 3/2)
	9.8b	(-.f64 (/.f64 2 (.f64 r r)) (fma.f64 r (.f64 r (.f64 w (.f64 w (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))))) 3/2))
	11.5b	(-.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))
	23.4b	(-.f64 (/.f64 2 (.f64 r r)) (fma.f64 (.f64 (.f64 w w) (.f64 r r)) 1/4 3/2))
	9.8b	(-.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))
	10.0b	(-.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))
▶	3.0b	(-.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))
	9.9b	(-.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))
	33.8b	(-.f64 (/.f64 2 (.f64 r r)) (fma.f64 r (.f64 (.f64 (sqrt.f64 r) (.f64 w (*.f64 w (sqrt.f64 r)))) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2))

Compiler

Compiled 6900 to 3995 computations (42.1% saved)

localize14.0ms (0.1%)

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)
	0.6b	(/.f64 2 (*.f64 r r))
✓	2.7b	(fma.f64 r (.f64 (.f64 (*.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2)

series125.0ms (1.3%)

Counts

3 → 96

Calls

3 calls:

74.0ms	(fma.f64 r (.f64 (.f64 (*.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2)
41.0ms	(.f64 (.f64 (*.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)))
9.0ms	(.f64 (.f64 r w) w)

rewrite21.0ms (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)))
5.0ms	(.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)

simplify256.0ms (2.7%)

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

prune495.0ms (5.2%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	191	3	194
Fresh	3	9	12
Picked	1	0	1
Done	0	0	0
Total	195	12	207

Error

1.0b

Counts

207 → 12

Alt Table

Status	Error	Program
	10.0b	(-.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))
	3.0b	(-.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))
	9.9b	(-.f64 (/.f64 2 (.f64 r r)) (fma.f64 r (.f64 (.f64 (.f64 (cbrt.f64 r) (cbrt.f64 r)) (.f64 (cbrt.f64 r) (.f64 w w))) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2))
	21.1b	(-.f64 (/.f64 2 (.f64 r r)) (fma.f64 (/.f64 (.f64 (.f64 (.f64 w w) (.f64 r r)) v) (-.f64 1 v)) -1/4 (fma.f64 3/8 (/.f64 (.f64 (.f64 w w) (.f64 r r)) (-.f64 1 v)) 3/2)))
	20.6b	(-.f64 (/.f64 2 (*.f64 r r)) 3/2)
	9.8b	(-.f64 (/.f64 2 (.f64 r r)) (fma.f64 r (.f64 r (.f64 w (.f64 w (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))))) 3/2))
	11.5b	(-.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))
▶	3.0b	(-.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))
	3.3b	(-.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 (.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2))))
	9.9b	(-.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))
	33.8b	(-.f64 (/.f64 2 (.f64 r r)) (fma.f64 r (.f64 (.f64 (sqrt.f64 r) (.f64 w (*.f64 w (sqrt.f64 r)))) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2))
	25.2b	(-.f64 (cbrt.f64 (.f64 (.f64 (/.f64 2 (.f64 r r)) (/.f64 2 (.f64 r r))) (/.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 6851 to 3969 computations (42.1% saved)

localize61.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 w r) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)))
✓	0.2b	(.f64 w (.f64 (*.f64 w r) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))))
	0.6b	(/.f64 2 (*.f64 r r))
✓	2.7b	(fma.f64 r (.f64 w (.f64 (*.f64 w r) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)))) 3/2)

series167.0ms (1.7%)

Counts

3 → 108

Calls

3 calls:

69.0ms

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

55.0ms

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

43.0ms

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

rewrite26.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 84

Calls

3 calls:

10.0ms

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

8.0ms

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

0.0ms

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

simplify168.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

727×	`times-frac_binary64`
411×	`associate-r_binary64`
399×	`associate-l_binary64`
240×	`fma-neg_binary64`
211×	`*-commutative_binary64`

Counts

192 → 177

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	268	5485
1	802	4667
2	3059	4631
3	4827	4629
4	4987	4629
5	4965	4629

prune330.0ms (3.5%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	204	2	206
Fresh	3	8	11
Picked	1	0	1
Done	0	0	0
Total	208	10	218

Error

0.0b

Counts

218 → 10

Alt Table

Status	Error	Program
	9.2b	(-.f64 (/.f64 2 (.f64 r r)) (+.f64 (.f64 w (.f64 r (.f64 (/.f64 w (-.f64 1 v)) (*.f64 r (fma.f64 v -1/4 3/8))))) 3/2))
	9.2b	(-.f64 (/.f64 2 (.f64 r r)) (fma.f64 r (.f64 w (.f64 (/.f64 w (-.f64 1 v)) (.f64 r (fma.f64 v -1/4 3/8)))) 3/2))
	10.0b	(-.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))
▶	3.0b	(-.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))
	9.9b	(-.f64 (/.f64 2 (.f64 r r)) (fma.f64 r (.f64 (.f64 (.f64 (cbrt.f64 r) (cbrt.f64 r)) (.f64 (cbrt.f64 r) (.f64 w w))) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2))
	21.1b	(-.f64 (/.f64 2 (.f64 r r)) (fma.f64 (/.f64 (.f64 (.f64 (.f64 w w) (.f64 r r)) v) (-.f64 1 v)) -1/4 (fma.f64 3/8 (/.f64 (.f64 (.f64 w w) (.f64 r r)) (-.f64 1 v)) 3/2)))
	3.3b	(-.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 (.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2))))
	9.9b	(-.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))
	33.8b	(-.f64 (/.f64 2 (.f64 r r)) (fma.f64 r (.f64 (.f64 (sqrt.f64 r) (.f64 w (*.f64 w (sqrt.f64 r)))) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2))
	25.2b	(-.f64 (cbrt.f64 (.f64 (.f64 (/.f64 2 (.f64 r r)) (/.f64 2 (.f64 r r))) (/.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 7131 to 4268 computations (40.1% 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)
	2.7b	(fma.f64 r (.f64 (.f64 (*.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2)

series2.0ms (0%)

Counts

1 → 12

Calls

1 calls:

2.0ms

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

rewrite9.0ms (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)

simplify122.0ms (1.3%)

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

prune426.0ms (4.5%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	273	5	278
Fresh	2	7	9
Picked	1	0	1
Done	0	0	0
Total	276	12	288

Error

0.0b

Counts

288 → 12

Alt Table

Status	Error	Program
	9.2b	(-.f64 (/.f64 2 (.f64 r r)) (+.f64 (.f64 w (.f64 r (.f64 (/.f64 w (-.f64 1 v)) (*.f64 r (fma.f64 v -1/4 3/8))))) 3/2))
	9.2b	(-.f64 (/.f64 2 (.f64 r r)) (fma.f64 r (.f64 w (.f64 (/.f64 w (-.f64 1 v)) (.f64 r (fma.f64 v -1/4 3/8)))) 3/2))
	32.1b	(-.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))
	21.1b	(-.f64 (/.f64 2 (.f64 r r)) (fma.f64 (/.f64 (.f64 (.f64 (.f64 w w) (.f64 r r)) v) (-.f64 1 v)) -1/4 (fma.f64 3/8 (/.f64 (.f64 (.f64 w w) (.f64 r r)) (-.f64 1 v)) 3/2)))
	9.9b	(-.f64 (/.f64 (/.f64 2 r) r) (fma.f64 r (.f64 (expm1.f64 (log1p.f64 (.f64 (*.f64 r w) w))) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2))
	20.6b	(-.f64 (/.f64 (/.f64 2 r) r) 3/2)
	3.5b	(-.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))
	10.0b	(-.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))
	3.3b	(-.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 (.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2))))
	9.9b	(-.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))
	33.8b	(-.f64 (/.f64 2 (.f64 r r)) (fma.f64 r (.f64 (.f64 (sqrt.f64 r) (.f64 w (*.f64 w (sqrt.f64 r)))) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2))
	3.4b	(-.f64 (.f64 (.f64 (cbrt.f64 (/.f64 2 r)) (cbrt.f64 (/.f64 2 r))) (/.f64 (cbrt.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))

Compiler

Compiled 9238 to 5507 computations (40.4% saved)

regimes2.3s (24.2%)

Accuracy

Total 0.9b remaining (94%)

Threshold costs 0.9b (94%)

Counts

212 → 3

Compiler

Compiled 39374 to 27387 computations (30.4% saved)

bsearch63.0ms (0.7%)

Steps

Iters	Range		Point
9	4.4650320158042865e-66	1.972800027620688e-60	1.6487595300893568e-61
4	-2.6211918689588163e+109	-7.79133360719516e+107	-9.651125686443539e+107

Compiler

Compiled 4 to 3 computations (25% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

21×	`*-commutative_binary64`
17×	`+-commutative_binary64`
16×	`sub-neg_binary64`
12×	`neg-sub0_binary64`
12×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	118
1	63	118
2	81	118
3	98	118
4	114	118
5	129	118
6	145	118
7	153	118
8	157	118
9	158	118
10	156	118

end311.0ms (3.3%)

Compiler: Compiled 536 to 364 computations (32.1% saved)

Iter	Nodes	Cost
0	43	118
1	63	118
2	81	118
3	98	118
4	114	118
5	129	118
6	145	118
7	153	118
8	157	118
9	158	118
10	156	118

Iter	Nodes	Cost
0	43	118
1	63	118
2	81	118
3	98	118
4	114	118
5	129	118
6	145	118
7	153	118
8	157	118
9	158	118
10	156	118

Details

analyze1.5s (15.3%)

sample2.5s (26%)

simplify41.0ms (0.4%)

prune5.0ms (0%)

localize16.0ms (0.2%)

series134.0ms (1.4%)

rewrite25.0ms (0.3%)

simplify158.0ms (1.7%)

prune299.0ms (3.1%)

localize14.0ms (0.1%)

series125.0ms (1.3%)

rewrite21.0ms (0.2%)

simplify256.0ms (2.7%)

prune495.0ms (5.2%)

localize61.0ms (0.6%)

series167.0ms (1.7%)

rewrite26.0ms (0.3%)

simplify168.0ms (1.8%)

prune330.0ms (3.5%)

localize16.0ms (0.2%)

series2.0ms (0%)

rewrite9.0ms (0.1%)

simplify122.0ms (1.3%)

prune426.0ms (4.5%)

regimes2.3s (24.2%)

bsearch63.0ms (0.7%)

simplify8.0ms (0.1%)

end311.0ms (3.3%)

Profiling

Iter	Nodes	Cost
0	43	118
1	63	118
2	81	118
3	98	118
4	114	118
5	129	118
6	145	118
7	153	118
8	157	118
9	158	118
10	156	118