Details

analyze1.4s (16.5%)

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)

sample115.0ms (1.4%)

Algorithm

1×

intervals

Results

24.0ms	256×	body	128	valid
11.0ms	136×	body	128	invalid

Compiler

Compiled 68 to 52 computations (23.5% saved)

simplify132.0ms (1.6%)

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

7.1b

Counts

3 → 2

Alt Table

Status	Error	Program
	10.5b	(-.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)
▶	7.2b	(-.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

10.5b

(-.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)

▶

7.2b

(-.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
✓	0.3b	(.f64 (.f64 r (*.f64 w w)) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)))
✓	1.0b	(/.f64 2 (*.f64 r r))
✓	2.1b	(fma.f64 r (.f64 (.f64 r (*.f64 w w)) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2)
✓	6.9b	(.f64 r (.f64 w w))

series104.0ms (1.2%)

Counts

4 → 108

Calls

4 calls:

54.0ms	(fma.f64 r (.f64 (.f64 r (*.f64 w w)) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2)
40.0ms	(.f64 (.f64 r (*.f64 w w)) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)))
8.0ms	(.f64 r (.f64 w w))
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))
4.0ms	(/.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)

simplify220.0ms (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 → 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

prune339.0ms (4%)

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

1.8b

Counts

198 → 13

Alt Table

Status	Error	Program
	9.4b	(-.f64 (/.f64 2 (.f64 r r)) (fma.f64 r (.f64 (.f64 (.f64 r (*.f64 w w)) (fma.f64 v -1/4 3/8)) (/.f64 1 (-.f64 1 v))) 3/2))
	10.5b	(-.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)
	7.2b	(-.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))
▶	2.7b	(-.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))
	7.4b	(-.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))
	35.4b	(-.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))
	13.2b	(-.f64 (/.f64 2 (.f64 r r)) (fma.f64 r (/.f64 (.f64 (pow.f64 w 2) (.f64 r (-.f64 3/8 (.f64 1/4 v)))) (-.f64 1 v)) 3/2))
	20.3b	(-.f64 (/.f64 2 (*.f64 r r)) 3/2)
	7.6b	(-.f64 (.f64 (.f64 (cbrt.f64 (/.f64 2 (.f64 r r))) (cbrt.f64 (/.f64 2 (.f64 r r)))) (cbrt.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))
	8.0b	(-.f64 (/.f64 2 (.f64 r r)) (.f64 (.f64 (cbrt.f64 (fma.f64 r (.f64 (.f64 r (.f64 w w)) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2)) (cbrt.f64 (fma.f64 r (.f64 (.f64 r (.f64 w w)) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2))) (cbrt.f64 (fma.f64 r (.f64 (.f64 r (.f64 w w)) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2))))
	11.3b	(-.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))
	17.0b	(-.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)))
	7.4b	(-.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))

Compiler

Compiled 6986 to 4055 computations (42% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 r w) w)
✓	0.3b	(.f64 (.f64 (*.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)))
	1.0b	(/.f64 2 (*.f64 r r))
✓	2.1b	(fma.f64 r (.f64 (.f64 (*.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2)

series115.0ms (1.4%)

Counts

3 → 96

Calls

3 calls:

58.0ms	(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)))
10.0ms	(.f64 (.f64 r w) w)

rewrite23.0ms (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:

12.0ms	(.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)

simplify127.0ms (1.5%)

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

prune379.0ms (4.5%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	188	6	194
Fresh	5	7	12
Picked	1	0	1
Done	0	0	0
Total	194	13	207

Error

1.5b

Counts

207 → 13

Alt Table

Status	Error	Program
▶	2.5b	(-.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))
	5.8b	(-.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))
	7.4b	(-.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))
	20.3b	(-.f64 (/.f64 2 (*.f64 r r)) 3/2)
	2.8b	(-.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))
	3.1b	(-.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))))
	17.0b	(-.f64 (/.f64 2 (.f64 r r)) (cbrt.f64 (.f64 (.f64 (fma.f64 r (.f64 (.f64 (.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2) (fma.f64 r (.f64 (.f64 (.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2)) (fma.f64 r (.f64 (.f64 (.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2))))
	10.5b	(-.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)
	7.6b	(-.f64 (.f64 (.f64 (cbrt.f64 (/.f64 2 (.f64 r r))) (cbrt.f64 (/.f64 2 (.f64 r r)))) (cbrt.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))
	8.0b	(-.f64 (/.f64 2 (.f64 r r)) (.f64 (.f64 (cbrt.f64 (fma.f64 r (.f64 (.f64 r (.f64 w w)) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2)) (cbrt.f64 (fma.f64 r (.f64 (.f64 r (.f64 w w)) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2))) (cbrt.f64 (fma.f64 r (.f64 (.f64 r (.f64 w w)) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2))))
	17.0b	(-.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)))
	7.4b	(-.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))
	32.2b	(-.f64 (/.f64 2 (.f64 r r)) (fma.f64 r (.f64 (.f64 (.f64 r (pow.f64 w 3/2)) (sqrt.f64 w)) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2))

Compiler

Compiled 7057 to 4105 computations (41.8% saved)

localize14.0ms (0.2%)

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))))
	1.0b	(/.f64 2 (*.f64 r r))
✓	2.1b	(fma.f64 r (.f64 w (.f64 (*.f64 w r) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)))) 3/2)

series138.0ms (1.6%)

Counts

3 → 108

Calls

3 calls:

56.0ms

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

52.0ms

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

30.0ms

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

rewrite77.0ms (0.9%)

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:

12.0ms

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

9.0ms

(*.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)

simplify190.0ms (2.3%)

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

prune336.0ms (4%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	204	2	206
Fresh	4	8	12
Picked	0	1	1
Done	0	0	0
Total	208	11	219

Error

0.0b

Counts

219 → 11

Alt Table

Status	Error	Program
	7.4b	(-.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))
▶	2.8b	(-.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))
	3.1b	(-.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))))
	17.0b	(-.f64 (/.f64 2 (.f64 r r)) (cbrt.f64 (.f64 (.f64 (fma.f64 r (.f64 (.f64 (.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2) (fma.f64 r (.f64 (.f64 (.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2)) (fma.f64 r (.f64 (.f64 (.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2))))
✓	2.5b	(-.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))
	10.5b	(-.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)
	7.6b	(-.f64 (.f64 (.f64 (cbrt.f64 (/.f64 2 (.f64 r r))) (cbrt.f64 (/.f64 2 (.f64 r r)))) (cbrt.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))
	6.5b	(-.f64 (/.f64 2 (.f64 r r)) (fma.f64 r (.f64 w (/.f64 (.f64 (-.f64 (.f64 3/8 w) (.f64 1/4 (.f64 v w))) r) (-.f64 1 v))) 3/2))
	8.0b	(-.f64 (/.f64 2 (.f64 r r)) (.f64 (.f64 (cbrt.f64 (fma.f64 r (.f64 (.f64 r (.f64 w w)) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2)) (cbrt.f64 (fma.f64 r (.f64 (.f64 r (.f64 w w)) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2))) (cbrt.f64 (fma.f64 r (.f64 (.f64 r (.f64 w w)) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2))))
	23.7b	(-.f64 (/.f64 2 (.f64 r r)) (.f64 w (.f64 r (.f64 (/.f64 w (-.f64 1 v)) (*.f64 r (fma.f64 v -1/4 3/8))))))
	17.0b	(-.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)))

Compiler

Compiled 7289 to 4370 computations (40% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f64 (.f64 r w) w)
✓	0.2b	(/.f64 (/.f64 2 r) r)
	0.3b	(.f64 (.f64 (*.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)))
	2.1b	(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)

simplify124.0ms (1.5%)

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

prune758.0ms (9%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	275	3	278
Fresh	1	8	9
Picked	0	1	1
Done	0	1	1
Total	276	13	289

Error

0.0b

Counts

289 → 13

Alt Table

Status	Error	Program
	7.6b	(-.f64 (.f64 (.f64 (cbrt.f64 (/.f64 2 (.f64 r r))) (cbrt.f64 (/.f64 2 (.f64 r r)))) (cbrt.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 (/.f64 1 (sqrt.f64 r)) (/.f64 2 (pow.f64 r 3/2))) (fma.f64 r (.f64 (.f64 (.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2))
	8.0b	(-.f64 (/.f64 2 (.f64 r r)) (.f64 (.f64 (cbrt.f64 (fma.f64 r (.f64 (.f64 r (.f64 w w)) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2)) (cbrt.f64 (fma.f64 r (.f64 (.f64 r (.f64 w w)) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2))) (cbrt.f64 (fma.f64 r (.f64 (.f64 r (.f64 w w)) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2))))
	3.1b	(-.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))
	3.1b	(-.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))))
	17.0b	(-.f64 (/.f64 2 (.f64 r r)) (cbrt.f64 (.f64 (.f64 (fma.f64 r (.f64 (.f64 (.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2) (fma.f64 r (.f64 (.f64 (.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2)) (fma.f64 r (.f64 (.f64 (.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2))))
✓	2.5b	(-.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))
	10.5b	(-.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)
	6.5b	(-.f64 (/.f64 2 (.f64 r r)) (fma.f64 r (.f64 w (/.f64 (.f64 (-.f64 (.f64 3/8 w) (.f64 1/4 (.f64 v w))) r) (-.f64 1 v))) 3/2))
	23.7b	(-.f64 (/.f64 2 (.f64 r r)) (.f64 w (.f64 r (.f64 (/.f64 w (-.f64 1 v)) (*.f64 r (fma.f64 v -1/4 3/8))))))
	33.9b	(-.f64 (.f64 (/.f64 (.f64 (cbrt.f64 (/.f64 2 r)) (cbrt.f64 (/.f64 2 r))) (sqrt.f64 r)) (/.f64 (cbrt.f64 (/.f64 2 r)) (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))
	17.0b	(-.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)))
✓	2.8b	(-.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))

Compiler

Compiled 9370 to 5591 computations (40.3% saved)

regimes1.5s (18%)

Accuracy

Total 0.5b remaining (89.2%)

Threshold costs 0.5b (89.2%)

Counts

150 → 2

Compiler

Compiled 28816 to 19947 computations (30.8% saved)

bsearch6.0ms (0.1%)

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

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

17×	`*-commutative_binary64`
13×	`+-commutative_binary64`
13×	`sub-neg_binary64`
10×	`neg-sub0_binary64`
10×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	74
1	48	74
2	63	74
3	79	74
4	95	74
5	110	74
6	118	74
7	122	74
8	123	74
9	122	74

end1.0ms (0%)

Compiler: Compiled 54 to 35 computations (35.2% saved)

sample2.2s (26.3%)

Algorithm

1×

intervals

Results

894.0ms	8000×	body	128	valid
493.0ms	4834×	body	128	invalid

Compiler

Compiled 590 to 397 computations (32.7% saved)

Details

analyze1.4s (16.5%)

sample115.0ms (1.4%)

simplify132.0ms (1.6%)

prune5.0ms (0.1%)

localize15.0ms (0.2%)

series104.0ms (1.2%)

rewrite25.0ms (0.3%)

simplify220.0ms (2.6%)

prune339.0ms (4%)

localize14.0ms (0.2%)

series115.0ms (1.4%)

rewrite23.0ms (0.3%)

simplify127.0ms (1.5%)

prune379.0ms (4.5%)

localize14.0ms (0.2%)

series138.0ms (1.6%)

rewrite77.0ms (0.9%)

simplify190.0ms (2.3%)

prune336.0ms (4%)

localize18.0ms (0.2%)

series3.0ms (0%)

rewrite11.0ms (0.1%)

simplify124.0ms (1.5%)

prune758.0ms (9%)

regimes1.5s (18%)

bsearch6.0ms (0.1%)

simplify7.0ms (0.1%)

end1.0ms (0%)

sample2.2s (26.3%)

Profiling