Details

analyze2.3s (17.1%)

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
0%	91.3%	8.7%	10
0%	89.3%	10.7%	11
0%	85.8%	14.2%	12
1.5%	80.8%	17.7%	13
1.5%	79.8%	18.7%	14

Compiler

Compiled 33 to 25 computations (24.2% saved)

sample7.4s (55.5%)

Results

5.2s	4561×	body	8192	exit
1.7s	8256×	body	128	valid
314.0ms	1656×	body	128	invalid

Compiler

Compiled 98 to 74 computations (24.5% saved)

simplify45.0ms (0.3%)

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

8.6b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	8.6b	(-.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))
	13.2b	(-.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)

Status

Error

Program

▶

8.6b

(-.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))

13.2b

(-.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)

Compiler

Compiled 171 to 121 computations (29.2% saved)

localize14.0ms (0.1%)

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))
✓	2.8b	(fma.f64 r (.f64 (.f64 r (*.f64 w w)) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2)
✓	11.6b	(.f64 r (.f64 w w))

series112.0ms (0.8%)

Counts

4 → 108

Calls

4 calls:

60.0ms	(fma.f64 r (.f64 (.f64 r (*.f64 w w)) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2)
41.0ms	(.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))

rewrite26.0ms (0.2%)

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)))
6.0ms	(.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)

simplify164.0ms (1.2%)

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

prune295.0ms (2.2%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	184	12	196
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	186	12	198

Error

1.7b

Counts

198 → 12

Alt Table

Status	Error	Program
	8.8b	(-.f64 (/.f64 2 (.f64 r r)) (fma.f64 r (.f64 (.f64 (.f64 r (.f64 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))
	28.4b	(-.f64 (/.f64 2 (.f64 r r)) (fma.f64 r (.f64 (.f64 (.f64 (sqrt.f64 r) w) (*.f64 (sqrt.f64 r) w)) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2))
	28.7b	(-.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)))
	19.1b	(-.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)))
	18.4b	(-.f64 (/.f64 2 (*.f64 r r)) 3/2)
	9.0b	(-.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))))
	8.6b	(-.f64 (/.f64 2 (.f64 r r)) (fma.f64 r (.f64 (.f64 w w) (.f64 r (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)))) 3/2))
▶	3.2b	(-.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))
	20.2b	(-.f64 (/.f64 2 (.f64 r r)) (fma.f64 (.f64 (.f64 w w) (.f64 r r)) 1/4 3/2))
	8.7b	(-.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))
	13.4b	(-.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))
	8.6b	(-.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))

Compiler

Compiled 6852 to 3963 computations (42.2% 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))
✓	2.8b	(fma.f64 r (.f64 (.f64 (*.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2)

series107.0ms (0.8%)

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)

rewrite28.0ms (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)

simplify132.0ms (1%)

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

prune295.0ms (2.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	190	4	194
Fresh	5	6	11
Picked	1	0	1
Done	0	0	0
Total	196	10	206

Error

1.6b

Counts

206 → 10

Alt Table

Status	Error	Program
	8.7b	(-.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))
	32.2b	(-.f64 (/.f64 2 (.f64 r r)) (+.f64 3/2 (fma.f64 3/8 (.f64 (.f64 w w) (.f64 r r)) (.f64 1/8 (.f64 (.f64 (.f64 w w) (.f64 r r)) (+.f64 v (.f64 v v)))))))
	28.7b	(-.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)))
	3.2b	(-.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))
	19.1b	(-.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)))
	18.4b	(-.f64 (/.f64 2 (*.f64 r r)) 3/2)
▶	3.2b	(-.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))
	15.9b	(-.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))))
	20.2b	(-.f64 (/.f64 2 (.f64 r r)) (fma.f64 (.f64 (.f64 w w) (.f64 r r)) 1/4 3/2))
	8.8b	(-.f64 (/.f64 2 (.f64 r r)) (fma.f64 r (.f64 (.f64 (.f64 r (.f64 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))

Compiler

Compiled 6753 to 3893 computations (42.4% saved)

localize14.0ms (0.1%)

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))))
	0.6b	(/.f64 2 (*.f64 r r))
✓	2.8b	(fma.f64 r (.f64 (.f64 r w) (*.f64 w (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)))) 3/2)

series115.0ms (0.9%)

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))))

17.0ms

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

rewrite29.0ms (0.2%)

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:

13.0ms

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

8.0ms

(*.f64 (*.f64 r w) (*.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)

simplify137.0ms (1%)

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

prune291.0ms (2.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	199	5	204
Fresh	5	4	9
Picked	1	0	1
Done	0	0	0
Total	205	9	214

Error

0.0b

Counts

214 → 9

Alt Table

Status	Error	Program
	8.8b	(-.f64 (/.f64 2 (.f64 r r)) (fma.f64 r (.f64 (.f64 (.f64 r (.f64 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))
	3.2b	(-.f64 (/.f64 (/.f64 2 r) r) (fma.f64 r (.f64 (.f64 r w) (*.f64 w (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)))) 3/2))
▶	3.2b	(-.f64 (/.f64 2 (.f64 r r)) (+.f64 (.f64 r (.f64 (.f64 r w) (*.f64 w (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))))) 3/2))
	8.7b	(-.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))
	32.2b	(-.f64 (/.f64 2 (.f64 r r)) (+.f64 3/2 (fma.f64 3/8 (.f64 (.f64 w w) (.f64 r r)) (.f64 1/8 (.f64 (.f64 (.f64 w w) (.f64 r r)) (+.f64 v (.f64 v v)))))))
	28.7b	(-.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)))
	12.7b	(-.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))))
	13.2b	(-.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))))
	16.9b	(-.f64 (/.f64 2 (.f64 r r)) (+.f64 (.f64 (.f64 r r) (.f64 w (*.f64 (/.f64 w (-.f64 1 v)) (fma.f64 v -1/4 3/8)))) 3/2))

Compiler

Compiled 6969 to 4198 computations (39.8% saved)

localize15.0ms (0.1%)

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))))
	0.6b	(/.f64 2 (*.f64 r r))
✓	6.0b	(.f64 r (.f64 (.f64 r w) (.f64 w (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)))))

series58.0ms (0.4%)

Counts

1 → 36

Calls

1 calls:

58.0ms

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

rewrite16.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`add-cbrt-cube_binary64`
30×	`add-exp-log_binary64`
20×	`cbrt-unprod_binary64`
20×	`prod-exp_binary64`
19×	`pow1_binary64`

Counts

1 → 34

Calls

1 calls:

11.0ms

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

simplify60.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

475×	`associate-*l/_binary64`
464×	`fma-def_binary64`
345×	`associate-r_binary64`
325×	`associate-/l*_binary64`
316×	`associate-l_binary64`

Counts

70 → 59

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	126	2287
1	382	1799
2	1558	1723
3	5307	1723

prune330.0ms (2.5%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	219	3	222
Fresh	1	7	8
Picked	1	0	1
Done	0	0	0
Total	221	10	231

Error

0.0b

Counts

231 → 10

Alt Table

Status	Error	Program
	8.8b	(-.f64 (/.f64 2 (.f64 r r)) (fma.f64 r (.f64 (.f64 (.f64 r (.f64 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))
	3.2b	(-.f64 (/.f64 (/.f64 2 r) r) (fma.f64 r (.f64 (.f64 r w) (*.f64 w (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)))) 3/2))
	8.7b	(-.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))
	32.2b	(-.f64 (/.f64 2 (.f64 r r)) (+.f64 3/2 (fma.f64 3/8 (.f64 (.f64 w w) (.f64 r r)) (.f64 1/8 (.f64 (.f64 (.f64 w w) (.f64 r r)) (+.f64 v (.f64 v v)))))))
	28.7b	(-.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)))
	28.4b	(-.f64 (/.f64 2 (.f64 r r)) (+.f64 (.f64 (sqrt.f64 r) (.f64 (sqrt.f64 r) (.f64 (.f64 r w) (.f64 w (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)))))) 3/2))
	9.4b	(-.f64 (/.f64 2 (.f64 r r)) (+.f64 (/.f64 (.f64 r (.f64 (.f64 r w) (*.f64 w (fma.f64 v -1/4 3/8)))) (-.f64 1 v)) 3/2))
	13.2b	(-.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))))
	16.9b	(-.f64 (/.f64 2 (.f64 r r)) (+.f64 (.f64 (.f64 r r) (.f64 w (*.f64 (/.f64 w (-.f64 1 v)) (fma.f64 v -1/4 3/8)))) 3/2))
	3.9b	(-.f64 (/.f64 2 (.f64 r r)) (+.f64 (.f64 (.f64 r (.f64 r w)) (*.f64 w (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)))) 3/2))

Compiler

Compiled 7522 to 4549 computations (39.5% saved)

regimes1.1s (8.2%)

Accuracy

Total 0.3b remaining (79.6%)

Threshold costs 0.3b (79.6%)

Counts

122 → 3

Compiler

Compiled 22716 to 15770 computations (30.6% saved)

bsearch25.0ms (0.2%)

Steps

Iters	Range		Point
0	5.226485293518638e-29	5.286638009760191e-29	5.256561651639415e-29
4	-5.185353811411616e+35	-3.046420587086262e+31	-2.424091774928309e+34

Compiler

Compiled 4 to 3 computations (25% saved)

simplify7.0ms (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	39	116
1	59	116
2	77	116
3	94	116
4	116	116
5	135	116
6	147	116
7	153	116
8	154	116
9	152	116

end210.0ms (1.6%)

Compiler: Compiled 502 to 331 computations (34.1% saved)

Iter	Nodes	Cost
0	39	116
1	59	116
2	77	116
3	94	116
4	116	116
5	135	116
6	147	116
7	153	116
8	154	116
9	152	116

Iter	Nodes	Cost
0	39	116
1	59	116
2	77	116
3	94	116
4	116	116
5	135	116
6	147	116
7	153	116
8	154	116
9	152	116

Details

analyze2.3s (17.1%)

sample7.4s (55.5%)

simplify45.0ms (0.3%)

prune5.0ms (0%)

localize14.0ms (0.1%)

series112.0ms (0.8%)

rewrite26.0ms (0.2%)

simplify164.0ms (1.2%)

prune295.0ms (2.2%)

localize14.0ms (0.1%)

series107.0ms (0.8%)

rewrite28.0ms (0.2%)

simplify132.0ms (1%)

prune295.0ms (2.2%)

localize14.0ms (0.1%)

series115.0ms (0.9%)

rewrite29.0ms (0.2%)

simplify137.0ms (1%)

prune291.0ms (2.2%)

localize15.0ms (0.1%)

series58.0ms (0.4%)

rewrite16.0ms (0.1%)

simplify60.0ms (0.5%)

prune330.0ms (2.5%)

regimes1.1s (8.2%)

bsearch25.0ms (0.2%)

simplify7.0ms (0.1%)

end210.0ms (1.6%)

Profiling

Iter	Nodes	Cost
0	39	116
1	59	116
2	77	116
3	94	116
4	116	116
5	135	116
6	147	116
7	153	116
8	154	116
9	152	116