Details

analyze1.5s (17.5%)

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)

sample2.3s (27.9%)

Results

1.5s	8256×	body	128	valid
772.0ms	5030×	body	128	invalid

Compiler

Compiled 98 to 74 computations (24.5% saved)

simplify42.0ms (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

6.1b

Counts

3 → 2

Alt Table

Status	Error	Program
	10.6b	(-.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)
▶	6.2b	(-.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

10.6b

(-.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)

▶

6.2b

(-.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)

localize18.0ms (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)))
✓	0.2b	(/.f64 2 (*.f64 r r))
✓	1.9b	(fma.f64 r (.f64 (.f64 r (*.f64 w w)) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2)
✓	7.5b	(.f64 r (.f64 w w))

series106.0ms (1.3%)

Counts

4 → 108

Calls

4 calls:

53.0ms	(fma.f64 r (.f64 (.f64 r (*.f64 w w)) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2)
42.0ms	(.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))
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)

simplify172.0ms (2.1%)

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

prune277.0ms (3.3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	187	9	196
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	188	10	198

Error

1.5b

Counts

198 → 10

Alt Table

Status	Error	Program
	10.6b	(-.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)
	11.4b	(-.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))
	23.4b	(-.f64 (/.f64 2 (.f64 r r)) (cbrt.f64 (pow.f64 (fma.f64 (.f64 (.f64 w w) (.f64 r r)) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)) 3/2) 3)))
▶	2.2b	(-.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)) 3/2)
	6.2b	(-.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))
	33.4b	(-.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))
	6.3b	(-.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))
	7.0b	(-.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))))
	22.9b	(-.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))

Compiler

Compiled 6772 to 3917 computations (42.2% 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 2 (*.f64 r r))
✓	1.9b	(fma.f64 r (.f64 (.f64 (*.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2)

series119.0ms (1.4%)

Counts

3 → 96

Calls

3 calls:

53.0ms	(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)))
8.0ms	(.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)))
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)

simplify125.0ms (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

prune586.0ms (7%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	192	2	194
Fresh	1	8	9
Picked	1	0	1
Done	0	0	0
Total	194	10	204

Error

1.5b

Counts

204 → 10

Alt Table

Status	Error	Program
	10.6b	(-.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)
	11.4b	(-.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))
	22.9b	(-.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))
	2.6b	(-.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))))
	23.4b	(-.f64 (/.f64 2 (.f64 r r)) (cbrt.f64 (pow.f64 (fma.f64 (.f64 (.f64 w w) (.f64 r r)) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)) 3/2) 3)))
	20.2b	(-.f64 (/.f64 2 (*.f64 r r)) 3/2)
▶	2.2b	(-.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))
	33.4b	(-.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))
	6.3b	(-.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))
	7.0b	(-.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))))

Compiler

Compiled 6773 to 3927 computations (42% 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)
	1.9b	(fma.f64 r (.f64 (.f64 (*.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2)

series4.0ms (0%)

Counts

1 → 12

Calls

1 calls:

4.0ms

(/.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 (1.4%)

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

prune509.0ms (6.1%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	274	4	278
Fresh	0	9	9
Picked	1	0	1
Done	0	0	0
Total	275	13	288

Error

1.5b

Counts

288 → 13

Alt Table

Status	Error	Program
	2.6b	(-.f64 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 r) 2)) (/.f64 (/.f64 2 (cbrt.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))
	23.4b	(-.f64 (/.f64 2 (.f64 r r)) (cbrt.f64 (pow.f64 (fma.f64 (.f64 (.f64 w w) (.f64 r r)) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)) 3/2) 3)))
	10.6b	(-.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)
	11.4b	(-.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))
	6.3b	(-.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))
	20.2b	(-.f64 (/.f64 (/.f64 2 r) r) 3/2)
	33.4b	(-.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))
	22.9b	(-.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))
	2.6b	(-.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))))
	20.2b	(-.f64 (/.f64 2 (*.f64 r r)) 3/2)
	33.4b	(-.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))
▶	2.6b	(-.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))
	7.0b	(-.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))))

Compiler

Compiled 9688 to 5823 computations (39.9% saved)

localize19.0ms (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)))
✓	0.5b	(cbrt.f64 (/.f64 2 r))
	1.9b	(fma.f64 r (.f64 (.f64 (*.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2)

series112.0ms (1.3%)

Counts

3 → 36

Calls

3 calls:

47.0ms	(*.f64 (cbrt.f64 (/.f64 2 r)) (cbrt.f64 (/.f64 2 r)))
40.0ms	(cbrt.f64 (/.f64 2 r))
25.0ms	(.f64 (.f64 (cbrt.f64 (/.f64 2 r)) (cbrt.f64 (/.f64 2 r))) (/.f64 (cbrt.f64 (/.f64 2 r)) r))

rewrite56.0ms (0.7%)

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:

23.0ms	(.f64 (.f64 (cbrt.f64 (/.f64 2 r)) (cbrt.f64 (/.f64 2 r))) (/.f64 (cbrt.f64 (/.f64 2 r)) r))
10.0ms	(*.f64 (cbrt.f64 (/.f64 2 r)) (cbrt.f64 (/.f64 2 r)))
2.0ms	(cbrt.f64 (/.f64 2 r))

simplify167.0ms (2%)

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

prune663.0ms (7.9%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	402	3	405
Fresh	2	10	12
Picked	1	0	1
Done	0	0	0
Total	405	13	418

Error

1.5b

Counts

418 → 13

Alt Table

Status	Error	Program
	2.6b	(-.f64 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 r) 2)) (/.f64 (/.f64 2 (cbrt.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))
	23.4b	(-.f64 (/.f64 2 (.f64 r r)) (cbrt.f64 (pow.f64 (fma.f64 (.f64 (.f64 w w) (.f64 r r)) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)) 3/2) 3)))
	10.6b	(-.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)
	11.4b	(-.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))
	20.6b	(-.f64 (.f64 (.f64 (cbrt.f64 (/.f64 2 r)) (cbrt.f64 (/.f64 2 r))) (/.f64 (cbrt.f64 (/.f64 2 r)) r)) 3/2)
	33.4b	(-.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))
	6.3b	(-.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))
	20.2b	(-.f64 (/.f64 (/.f64 2 r) r) 3/2)
	33.4b	(-.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))
	2.6b	(-.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))))
	2.4b	(-.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))
	2.6b	(-.f64 (.f64 (.f64 (cbrt.f64 (/.f64 2 r)) (.f64 (cbrt.f64 (/.f64 1 r)) (cbrt.f64 2))) (/.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))
	7.0b	(-.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))))

Compiler

Compiled 17397 to 11420 computations (34.4% saved)

regimes1.1s (13.6%)

Accuracy

Total 0.9b remaining (38.6%)

Threshold costs 0.9b (38.6%)

Counts

164 → 1

Compiler

Compiled 31538 to 21886 computations (30.6% saved)

simplify2.0ms (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	20	33
1	29	33
2	36	33
3	40	33
4	42	33
5	41	33

end244.0ms (2.9%)

Compiler: Compiled 482 to 335 computations (30.5% saved)

Details

analyze1.5s (17.5%)

sample2.3s (27.9%)

simplify42.0ms (0.5%)

prune5.0ms (0.1%)

localize18.0ms (0.2%)

series106.0ms (1.3%)

rewrite25.0ms (0.3%)

simplify172.0ms (2.1%)

prune277.0ms (3.3%)

localize16.0ms (0.2%)

series119.0ms (1.4%)

rewrite21.0ms (0.2%)

simplify125.0ms (1.5%)

prune586.0ms (7%)

localize14.0ms (0.2%)

series4.0ms (0%)

rewrite9.0ms (0.1%)

simplify122.0ms (1.4%)

prune509.0ms (6.1%)

localize19.0ms (0.2%)

series112.0ms (1.3%)

rewrite56.0ms (0.7%)

simplify167.0ms (2%)

prune663.0ms (7.9%)

regimes1.1s (13.6%)

simplify2.0ms (0%)

end244.0ms (2.9%)

Profiling