Details

analyze1.4s (16.7%)

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)

sample113.0ms (1.3%)

Algorithm

1×

intervals

Results

24.0ms	256×	body	128	valid
12.0ms	143×	body	128	invalid

Compiler

Compiled 68 to 52 computations (23.5% 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

7.6b

Counts

3 → 2

Alt Table

Status	Error	Program
	11.9b	(-.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 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

11.9b

(-.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 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)

localize101.0ms (1.2%)

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))
✓	2.4b	(fma.f64 r (.f64 (.f64 r (*.f64 w w)) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2)
✓	6.6b	(.f64 r (.f64 w w))

series216.0ms (2.5%)

Counts

4 → 108

Calls

4 calls:

162.0ms	(fma.f64 r (.f64 (.f64 r (*.f64 w w)) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2)
43.0ms	(.f64 (.f64 r (*.f64 w w)) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)))
9.0ms	(.f64 r (.f64 w w))
3.0ms	(/.f64 2 (*.f64 r r))

rewrite27.0ms (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:

12.0ms	(.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)

simplify178.0ms (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

prune260.0ms (3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	188	8	196
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	190	8	198

Error

1.6b

Counts

198 → 8

Alt Table

Status	Error	Program
	9.8b	(-.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))
	33.3b	(-.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))
	7.6b	(-.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))
	7.9b	(-.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))))
	21.7b	(-.f64 (/.f64 2 (*.f64 r r)) 3/2)
	7.8b	(-.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))
▶	2.8b	(-.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))
	7.7b	(-.f64 (/.f64 2 (.f64 r r)) (fma.f64 r (.f64 r (.f64 (.f64 w w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)))) 3/2))

Compiler

Compiled 6610 to 3803 computations (42.5% 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))
✓	2.4b	(fma.f64 r (.f64 (.f64 (*.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2)

series103.0ms (1.2%)

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)
40.0ms	(.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:

11.0ms	(.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)

simplify120.0ms (1.4%)

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

prune248.0ms (2.9%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	189	5	194
Fresh	1	6	7
Picked	1	0	1
Done	0	0	0
Total	191	11	202

Error

1.6b

Counts

202 → 11

Alt Table

Status	Error	Program
	7.9b	(-.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))))
	33.6b	(-.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))
	7.8b	(-.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))
	3.0b	(-.f64 (.f64 (/.f64 (sqrt.f64 2) r) (/.f64 (sqrt.f64 2) r)) (fma.f64 r (.f64 (.f64 (.f64 r 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))
	19.2b	(-.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))))
	9.8b	(-.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))
	33.3b	(-.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))
	21.7b	(-.f64 (/.f64 2 (*.f64 r r)) 3/2)
	7.7b	(-.f64 (/.f64 2 (.f64 r r)) (fma.f64 r (.f64 r (.f64 (.f64 w w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)))) 3/2))
	2.8b	(-.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))

Compiler

Compiled 6815 to 3953 computations (42% saved)

localize15.0ms (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 2 r) r)
	0.2b	(.f64 (.f64 r w) w)
	2.4b	(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)

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)

simplify120.0ms (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

prune516.0ms (6%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	273	5	278
Fresh	3	7	10
Picked	1	0	1
Done	0	0	0
Total	277	12	289

Error

1.6b

Counts

289 → 12

Alt Table

Status	Error	Program
	7.9b	(-.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))))
	33.6b	(-.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))
▶	2.8b	(-.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))
	19.2b	(-.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))))
	9.8b	(-.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))
	33.3b	(-.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))
	3.3b	(-.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))
	3.3b	(-.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))
	7.8b	(-.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))
	21.7b	(-.f64 (/.f64 (/.f64 2 r) r) 3/2)
	7.7b	(-.f64 (/.f64 2 (.f64 r r)) (fma.f64 r (.f64 r (.f64 (.f64 w w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)))) 3/2))
	33.3b	(-.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))

Compiler

Compiled 9656 to 5791 computations (40% saved)

localize15.0ms (0.2%)

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 2 r) r)
✓	0.3b	(.f64 (.f64 r w) (*.f64 w (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))))
✓	2.4b	(fma.f64 r (.f64 (.f64 r w) (*.f64 w (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)))) 3/2)

series114.0ms (1.3%)

Counts

3 → 96

Calls

3 calls:

58.0ms

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

41.0ms

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

14.0ms

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

rewrite25.0ms (0.3%)

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:

10.0ms

(*.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)

simplify128.0ms (1.5%)

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

prune449.0ms (5.2%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	287	1	288
Fresh	1	10	11
Picked	0	1	1
Done	0	0	0
Total	288	12	300

Error

0.0b

Counts

300 → 12

Alt Table

Status	Error	Program
	7.9b	(-.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))))
	33.6b	(-.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))
✓	2.8b	(-.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))
	19.2b	(-.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))))
	9.8b	(-.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))
	33.3b	(-.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))
	11.2b	(-.f64 (/.f64 (/.f64 2 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))))
	3.3b	(-.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))
	3.3b	(-.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))
	7.8b	(-.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))
	7.7b	(-.f64 (/.f64 2 (.f64 r r)) (fma.f64 r (.f64 r (.f64 (.f64 w w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)))) 3/2))
	33.3b	(-.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))

Compiler

Compiled 9497 to 5930 computations (37.6% saved)

regimes2.2s (26%)

Accuracy

Total 0.4b remaining (86.4%)

Threshold costs 0.4b (86.4%)

Counts

173 → 3

Compiler

Compiled 32398 to 22498 computations (30.6% saved)

bsearch36.0ms (0.4%)

Steps

Iters	Range		Point
4	3.0985217534654273e-49	1.1513667854486604e-48	1.0713409344718046e-48
3	-1.8893745844545096e-65	-1.4581284989227425e-65	-1.8624217041087742e-65

Compiler

Compiled 4 to 3 computations (25% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

13×	`*-commutative_binary64`
9×	`+-commutative_binary64`
9×	`sub-neg_binary64`
5×	`neg-sub0_binary64`
5×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	141
1	61	141
2	76	141
3	86	141
4	91	141
5	90	141

end2.0ms (0%)

Compiler: Compiled 100 to 64 computations (36% saved)

sample2.0s (23.6%)

Algorithm

1×

intervals

Results

815.0ms	8000×	body	128	valid
444.0ms	4772×	body	128	invalid

Compiler

Compiled 565 to 381 computations (32.6% saved)

Details

analyze1.4s (16.7%)

sample113.0ms (1.3%)

simplify42.0ms (0.5%)

prune5.0ms (0.1%)

localize101.0ms (1.2%)

series216.0ms (2.5%)

rewrite27.0ms (0.3%)

simplify178.0ms (2.1%)

prune260.0ms (3%)

localize14.0ms (0.2%)

series103.0ms (1.2%)

rewrite21.0ms (0.2%)

simplify120.0ms (1.4%)

prune248.0ms (2.9%)

localize15.0ms (0.2%)

series3.0ms (0%)

rewrite9.0ms (0.1%)

simplify120.0ms (1.4%)

prune516.0ms (6%)

localize15.0ms (0.2%)

series114.0ms (1.3%)

rewrite25.0ms (0.3%)

simplify128.0ms (1.5%)

prune449.0ms (5.2%)

regimes2.2s (26%)

bsearch36.0ms (0.4%)

simplify5.0ms (0.1%)

end2.0ms (0%)

sample2.0s (23.6%)

Profiling