Details

analyze1.4s (17.4%)

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 (30.4%)

Results

1.5s	8256×	body	128	valid
895.0ms	5102×	body	128	invalid

Compiler

Compiled 98 to 74 computations (24.5% saved)

simplify44.0ms (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

8.9b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	8.9b	(-.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))
	13.1b	(-.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)

Status

Error

Program

▶

8.9b

(-.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))

13.1b

(-.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)

Compiler

Compiled 171 to 121 computations (29.2% saved)

localize14.0ms (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)))
✓	0.5b	(/.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)
✓	10.0b	(.f64 r (.f64 w w))

series108.0ms (1.3%)

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)
41.0ms	(.f64 (.f64 r (*.f64 w w)) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)))
10.0ms	(.f64 r (.f64 w w))
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:

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)

simplify177.0ms (2.2%)

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

prune278.0ms (3.4%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	185	11	196
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	187	11	198

Error

1.4b

Counts

198 → 11

Alt Table

Status	Error	Program
▶	2.5b	(-.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))
	33.7b	(-.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)))
	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))
	9.0b	(-.f64 (/.f64 2 (.f64 r r)) (fma.f64 r (.f64 (/.f64 (.f64 (.f64 w w) r) (*.f64 (cbrt.f64 (-.f64 1 v)) (cbrt.f64 (-.f64 1 v)))) (/.f64 (fma.f64 v -1/4 3/8) (cbrt.f64 (-.f64 1 v)))) 3/2))
	9.1b	(-.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))
	8.9b	(-.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))
	19.8b	(-.f64 (/.f64 2 (*.f64 r r)) 3/2)
	14.1b	(-.f64 (/.f64 2 (.f64 r r)) (fma.f64 r (.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 w w) r) 3)) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2))
	9.0b	(-.f64 (.f64 (/.f64 (sqrt.f64 2) r) (/.f64 (sqrt.f64 2) r)) (fma.f64 r (.f64 (.f64 r (.f64 w w)) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2))
	9.3b	(-.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))
	34.3b	(-.f64 (/.f64 2 (.f64 r r)) (.f64 (-.f64 (.f64 3/8 (/.f64 (pow.f64 r 2) (-.f64 1 v))) (.f64 1/4 (/.f64 (*.f64 v (pow.f64 r 2)) (-.f64 1 v)))) (pow.f64 w 2)))

Compiler

Compiled 6808 to 3965 computations (41.8% 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)
	0.5b	(/.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)

series106.0ms (1.3%)

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)))
9.0ms	(.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)

simplify128.0ms (1.6%)

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

prune294.0ms (3.6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	190	4	194
Fresh	4	6	10
Picked	1	0	1
Done	0	0	0
Total	195	10	205

Error

1.4b

Counts

205 → 10

Alt Table

Status	Error	Program
	3.4b	(-.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))))
	9.3b	(-.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))
	34.3b	(-.f64 (/.f64 2 (.f64 r r)) (.f64 (-.f64 (.f64 3/8 (/.f64 (pow.f64 r 2) (-.f64 1 v))) (.f64 1/4 (/.f64 (*.f64 v (pow.f64 r 2)) (-.f64 1 v)))) (pow.f64 w 2)))
	18.9b	(-.f64 (/.f64 2 (.f64 r r)) (+.f64 (.f64 (.f64 w w) (.f64 (*.f64 r r) (/.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))
	19.8b	(-.f64 (/.f64 2 (*.f64 r r)) 3/2)
▶	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))
	15.7b	(-.f64 (/.f64 2 (.f64 r r)) (fma.f64 r (.f64 (.f64 (.f64 (*.f64 r w) w) (/.f64 1 (sqrt.f64 (-.f64 1 v)))) (/.f64 (fma.f64 v -1/4 3/8) (sqrt.f64 (-.f64 1 v)))) 3/2))
	9.0b	(-.f64 (.f64 (/.f64 (sqrt.f64 2) r) (/.f64 (sqrt.f64 2) r)) (fma.f64 r (.f64 (.f64 r (.f64 w w)) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2))
	9.1b	(-.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))

Compiler

Compiled 6769 to 3935 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)
✓	0.2b	(/.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)

rewrite12.0ms (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:

6.0ms

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

simplify120.0ms (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

prune421.0ms (5.1%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	274	4	278
Fresh	2	7	9
Picked	0	1	1
Done	0	0	0
Total	276	12	288

Error

1.4b

Counts

288 → 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))
	3.0b	(-.f64 (/.f64 (/.f64 1 (.f64 (cbrt.f64 r) (cbrt.f64 r))) (/.f64 r (/.f64 2 (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))
	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 (cbrt.f64 (/.f64 2 r)) (cbrt.f64 (/.f64 2 r))) (pow.f64 (cbrt.f64 r) 2)) (/.f64 (cbrt.f64 (/.f64 2 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))
	19.8b	(-.f64 (/.f64 2 (*.f64 r r)) 3/2)
	15.7b	(-.f64 (/.f64 2 (.f64 r r)) (fma.f64 r (.f64 (.f64 (.f64 (*.f64 r w) w) (/.f64 1 (sqrt.f64 (-.f64 1 v)))) (/.f64 (fma.f64 v -1/4 3/8) (sqrt.f64 (-.f64 1 v)))) 3/2))
	34.3b	(-.f64 (/.f64 (/.f64 2 r) r) (.f64 (.f64 w w) (fma.f64 3/8 (/.f64 (.f64 r r) (-.f64 1 v)) (.f64 (/.f64 (.f64 (.f64 r r) v) (-.f64 1 v)) -1/4))))
	9.0b	(-.f64 (.f64 (/.f64 (sqrt.f64 2) r) (/.f64 (sqrt.f64 2) r)) (fma.f64 r (.f64 (.f64 r (.f64 w w)) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2))
	9.1b	(-.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))
	3.4b	(-.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))))
	18.9b	(-.f64 (/.f64 2 (.f64 r r)) (+.f64 (.f64 (.f64 w w) (.f64 (*.f64 r r) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)))) 3/2))
▶	2.8b	(-.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 9636 to 5787 computations (39.9% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (.f64 (cbrt.f64 (/.f64 2 r)) (cbrt.f64 (/.f64 2 r))) (/.f64 (cbrt.f64 (/.f64 2 r)) r))
✓	0.5b	(*.f64 (cbrt.f64 (/.f64 2 r)) (cbrt.f64 (/.f64 2 r)))
✓	0.6b	(cbrt.f64 (/.f64 2 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)

series365.0ms (4.4%)

Counts

3 → 36

Calls

3 calls:

188.0ms	(*.f64 (cbrt.f64 (/.f64 2 r)) (cbrt.f64 (/.f64 2 r)))
152.0ms	(cbrt.f64 (/.f64 2 r))
24.0ms	(.f64 (.f64 (cbrt.f64 (/.f64 2 r)) (cbrt.f64 (/.f64 2 r))) (/.f64 (cbrt.f64 (/.f64 2 r)) r))

rewrite51.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

130×	`times-frac_binary64`
118×	`cbrt-prod_binary64`
115×	`add-sqr-sqrt_binary64`
83×	`*-un-lft-identity_binary64`
83×	`add-cube-cbrt_binary64`

Counts

3 → 188

Calls

3 calls:

17.0ms	(.f64 (.f64 (cbrt.f64 (/.f64 2 r)) (cbrt.f64 (/.f64 2 r))) (/.f64 (cbrt.f64 (/.f64 2 r)) r))
12.0ms	(*.f64 (cbrt.f64 (/.f64 2 r)) (cbrt.f64 (/.f64 2 r)))
2.0ms	(cbrt.f64 (/.f64 2 r))

simplify169.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

495×	`associate-/l/_binary64`
473×	`associate-l_binary64`
468×	`associate-/r*_binary64`
300×	`unswap-sqr_binary64`
290×	`associate-r_binary64`

Counts

224 → 296

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	268	4499
1	589	4307
2	2341	4047
3	3772	3954
4	4819	3954
5	5002	3954

prune724.0ms (8.8%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	403	2	405
Fresh	1	9	10
Picked	1	0	1
Done	0	1	1
Total	405	12	417

Error

1.4b

Counts

417 → 12

Alt Table

Status	Error	Program
	2.6b	(-.f64 (.f64 (cbrt.f64 (/.f64 4 (.f64 r 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))
	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))
	20.2b	(-.f64 (.f64 (.f64 (cbrt.f64 (/.f64 2 r)) (cbrt.f64 (/.f64 2 r))) (/.f64 (cbrt.f64 (/.f64 2 r)) r)) 3/2)
	19.8b	(-.f64 (/.f64 2 (*.f64 r r)) 3/2)
✓	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))
	3.0b	(-.f64 (/.f64 (/.f64 1 (.f64 (cbrt.f64 r) (cbrt.f64 r))) (/.f64 r (/.f64 2 (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))
	15.7b	(-.f64 (/.f64 2 (.f64 r r)) (fma.f64 r (.f64 (.f64 (.f64 (*.f64 r w) w) (/.f64 1 (sqrt.f64 (-.f64 1 v)))) (/.f64 (fma.f64 v -1/4 3/8) (sqrt.f64 (-.f64 1 v)))) 3/2))
	34.3b	(-.f64 (/.f64 (/.f64 2 r) r) (.f64 (.f64 w w) (fma.f64 3/8 (/.f64 (.f64 r r) (-.f64 1 v)) (.f64 (/.f64 (.f64 (.f64 r r) v) (-.f64 1 v)) -1/4))))
	9.0b	(-.f64 (.f64 (/.f64 (sqrt.f64 2) r) (/.f64 (sqrt.f64 2) r)) (fma.f64 r (.f64 (.f64 r (.f64 w w)) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2))
	9.1b	(-.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))
	3.4b	(-.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))))
	18.9b	(-.f64 (/.f64 2 (.f64 r r)) (+.f64 (.f64 (.f64 w w) (.f64 (*.f64 r r) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)))) 3/2))

Compiler

Compiled 17338 to 11378 computations (34.4% saved)

regimes938.0ms (11.4%)

Accuracy

Total 0.9b remaining (37.9%)

Threshold costs 0.9b (37.9%)

Counts

137 → 1

Compiler

Compiled 26432 to 18412 computations (30.3% 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

end223.0ms (2.7%)

Compiler: Compiled 423 to 293 computations (30.7% saved)

Details

analyze1.4s (17.4%)

sample2.5s (30.4%)

simplify44.0ms (0.5%)

prune5.0ms (0.1%)

localize14.0ms (0.2%)

series108.0ms (1.3%)

rewrite26.0ms (0.3%)

simplify177.0ms (2.2%)

prune278.0ms (3.4%)

localize14.0ms (0.2%)

series106.0ms (1.3%)

rewrite23.0ms (0.3%)

simplify128.0ms (1.6%)

prune294.0ms (3.6%)

localize14.0ms (0.2%)

series3.0ms (0%)

rewrite12.0ms (0.1%)

simplify120.0ms (1.5%)

prune421.0ms (5.1%)

localize17.0ms (0.2%)

series365.0ms (4.4%)

rewrite51.0ms (0.6%)

simplify169.0ms (2.1%)

prune724.0ms (8.8%)

regimes938.0ms (11.4%)

simplify3.0ms (0%)

end223.0ms (2.7%)

Profiling