Details

analyze1.4s (16.4%)

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)

sample114.0ms (1.4%)

Algorithm

1×

intervals

Results

23.0ms	256×	body	128	valid
14.0ms	171×	body	128	invalid

Compiler

Compiled 68 to 52 computations (23.5% saved)

simplify43.0ms (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

11.2b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	11.2b	(-.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))
	14.2b	(-.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

▶

11.2b

(-.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))

14.2b

(-.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 (0.2%)

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)))
✓	0.3b	(/.f64 2 (*.f64 r r))
✓	3.6b	(fma.f64 r (.f64 (.f64 r (*.f64 w w)) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2)
✓	10.2b	(.f64 r (.f64 w w))

series169.0ms (2%)

Counts

4 → 108

Calls

4 calls:

102.0ms	(.f64 (.f64 r (*.f64 w w)) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)))
56.0ms	(fma.f64 r (.f64 (.f64 r (*.f64 w w)) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2)
8.0ms	(.f64 r (.f64 w w))
2.0ms	(/.f64 2 (*.f64 r r))

rewrite65.0ms (0.8%)

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)

simplify242.0ms (2.9%)

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

prune319.0ms (3.8%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	183	13	196
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	184	14	198

Error

2.6b

Counts

198 → 14

Alt Table

Status	Error	Program
	12.8b	(-.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))
	26.2b	(-.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))
▶	4.0b	(-.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))
	25.2b	(-.f64 (/.f64 2 (*.f64 r r)) 3/2)
	14.4b	(-.f64 (/.f64 2 (.f64 r r)) (fma.f64 r (.f64 (.f64 (.f64 (.f64 w w) r) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 (.f64 v v)))) (+.f64 1 v)) 3/2))
	14.2b	(-.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)
	11.4b	(-.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))
	11.2b	(-.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))
	11.5b	(-.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))))
	33.3b	(-.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)))
	26.5b	(-.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)))
	11.5b	(-.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))
	11.4b	(-.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))
	32.1b	(-.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))

Compiler

Compiled 6998 to 4079 computations (41.7% 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 r w) w)
	0.3b	(/.f64 2 (*.f64 r r))
✓	3.6b	(fma.f64 r (.f64 (.f64 (*.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2)

series108.0ms (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)
42.0ms	(.f64 (.f64 (*.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)))
10.0ms	(.f64 (.f64 r w) w)

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)

simplify175.0ms (2.1%)

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

prune348.0ms (4.1%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	187	7	194
Fresh	7	6	13
Picked	1	0	1
Done	0	0	0
Total	195	13	208

Error

2.5b

Counts

208 → 13

Alt Table

Status	Error	Program
	26.5b	(-.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)))
	4.3b	(-.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))))
	12.8b	(-.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))
	26.2b	(-.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))
	4.2b	(-.f64 (/.f64 (sqrt.f64 2) (/.f64 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))
	14.2b	(-.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)
▶	4.0b	(-.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))
	32.2b	(-.f64 (/.f64 2 (.f64 r r)) (.f64 (.f64 w w) (.f64 (*.f64 r r) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)))))
	4.4b	(-.f64 (/.f64 2 (.f64 r r)) (fma.f64 r (.f64 (.f64 (.f64 (cbrt.f64 (.f64 (.f64 r w) w)) (cbrt.f64 (.f64 (.f64 r w) w))) (cbrt.f64 (.f64 (.f64 r w) w))) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2))
	4.5b	(-.f64 (/.f64 2 (.f64 r r)) (fma.f64 r (.f64 (.f64 (.f64 (.f64 r 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))
	4.9b	(-.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))))
	11.5b	(-.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))
	25.2b	(-.f64 (/.f64 2 (*.f64 r r)) 3/2)

Compiler

Compiled 7005 to 4079 computations (41.8% saved)

localize18.0ms (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)
	3.6b	(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)

simplify125.0ms (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

prune482.0ms (5.7%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	275	3	278
Fresh	2	10	12
Picked	1	0	1
Done	0	0	0
Total	278	13	291

Error

2.5b

Counts

291 → 13

Alt Table

Status	Error	Program
	26.5b	(-.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)))
	4.3b	(-.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))))
	4.4b	(-.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))
	4.9b	(-.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))))
	12.8b	(-.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))
	26.2b	(-.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))
	4.4b	(-.f64 (/.f64 2 (.f64 r r)) (fma.f64 r (.f64 (.f64 (.f64 (cbrt.f64 (.f64 (.f64 r w) w)) (cbrt.f64 (.f64 (.f64 r w) w))) (cbrt.f64 (.f64 (.f64 r w) w))) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2))
	25.2b	(-.f64 (/.f64 (/.f64 2 r) r) 3/2)
	4.5b	(-.f64 (/.f64 2 (.f64 r r)) (fma.f64 r (.f64 (.f64 (.f64 (.f64 r 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))
▶	4.2b	(-.f64 (.f64 (sqrt.f64 2) (/.f64 (sqrt.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))
	25.2b	(-.f64 (/.f64 2 (*.f64 r r)) 3/2)
	14.2b	(-.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)
	32.2b	(-.f64 (/.f64 2 (.f64 r r)) (.f64 (.f64 w w) (.f64 (*.f64 r r) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)))))

Compiler

Compiled 9708 to 5823 computations (40% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f64 (.f64 r w) w)
✓	0.3b	(.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 2) (.f64 r r)))
✓	0.4b	(/.f64 (sqrt.f64 2) (*.f64 r r))
	3.6b	(fma.f64 r (.f64 (.f64 (*.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2)

series13.0ms (0.2%)

Counts

2 → 24

Calls

2 calls:

7.0ms	(.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 2) (.f64 r r)))
5.0ms	(/.f64 (sqrt.f64 2) (*.f64 r r))

rewrite17.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64`
17×	`sqrt-prod_binary64`
16×	`times-frac_binary64`
16×	`add-cbrt-cube_binary64`
16×	`add-exp-log_binary64`

Counts

2 → 69

Calls

2 calls:

9.0ms	(.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 2) (.f64 r r)))
4.0ms	(/.f64 (sqrt.f64 2) (*.f64 r r))

simplify87.0ms (1%)

Algorithm

1×	egg-herbie

Rules

872×	`fma-neg_binary64`
430×	`times-frac_binary64`
300×	`associate-l_binary64`
266×	`associate-r_binary64`
265×	`associate-*l/_binary64`

Counts

93 → 88

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	84	1061
1	183	965
2	580	949
3	2179	940
4	3046	919
5	4683	919
6	5390	919

prune548.0ms (6.5%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	158	2	160
Fresh	2	10	12
Picked	1	0	1
Done	0	0	0
Total	161	12	173

Error

2.5b

Counts

173 → 12

Alt Table

Status	Error	Program
	26.5b	(-.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)))
	4.3b	(-.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))))
	4.0b	(-.f64 (.f64 (/.f64 (pow.f64 (sqrt.f64 2) 3/2) r) (/.f64 (sqrt.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))
	12.8b	(-.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))
	4.4b	(-.f64 (/.f64 2 (.f64 r r)) (fma.f64 r (.f64 (.f64 (.f64 (cbrt.f64 (.f64 (.f64 r w) w)) (cbrt.f64 (.f64 (.f64 r w) w))) (cbrt.f64 (.f64 (.f64 r w) w))) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2))
	25.2b	(-.f64 (/.f64 (/.f64 2 r) r) 3/2)
	4.5b	(-.f64 (/.f64 2 (.f64 r r)) (fma.f64 r (.f64 (.f64 (.f64 (.f64 r 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))
	25.3b	(-.f64 (.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 2) (.f64 r r))) 3/2)
	4.9b	(-.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))))
	25.2b	(-.f64 (/.f64 2 (*.f64 r r)) 3/2)
	14.2b	(-.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)
	32.2b	(-.f64 (/.f64 2 (.f64 r r)) (.f64 (.f64 w w) (.f64 (*.f64 r r) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)))))

Compiler

Compiled 5681 to 3549 computations (37.5% saved)

regimes2.0s (24.1%)

Accuracy

Total 0.3b remaining (16.4%)

Threshold costs 0.3b (16.4%)

Counts

221 → 3

Compiler

Compiled 42389 to 29582 computations (30.2% saved)

bsearch38.0ms (0.5%)

Steps

Iters	Range		Point
9	1.2961753861348755e-93	8.886313341422515e-85	7.915067883874499e-92
1	-2.0063491410484795e-125	-6.916749775009155e-127	-3.797359757468544e-126

Compiler

Compiled 4 to 3 computations (25% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64`
7×	`+-commutative_binary64`
7×	`sub-neg_binary64`
3×	`neg-sub0_binary64`
3×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	88
1	50	88
2	61	88
3	67	88
4	70	88
5	68	88

end2.0ms (0%)

Compiler: Compiled 64 to 43 computations (32.8% saved)

sample2.0s (23.8%)

Algorithm

1×

intervals

Results

729.0ms	8000×	body	128	valid
564.0ms	4871×	body	128	invalid

Compiler

Compiled 474 to 326 computations (31.2% saved)

Details

analyze1.4s (16.4%)

sample114.0ms (1.4%)

simplify43.0ms (0.5%)

prune5.0ms (0.1%)

localize14.0ms (0.2%)

series169.0ms (2%)

rewrite65.0ms (0.8%)

simplify242.0ms (2.9%)

prune319.0ms (3.8%)

localize15.0ms (0.2%)

series108.0ms (1.3%)

rewrite21.0ms (0.2%)

simplify175.0ms (2.1%)

prune348.0ms (4.1%)

localize18.0ms (0.2%)

series3.0ms (0%)

rewrite9.0ms (0.1%)

simplify125.0ms (1.5%)

prune482.0ms (5.7%)

localize15.0ms (0.2%)

series13.0ms (0.2%)

rewrite17.0ms (0.2%)

simplify87.0ms (1%)

prune548.0ms (6.5%)

regimes2.0s (24.1%)

bsearch38.0ms (0.5%)

simplify4.0ms (0%)

end2.0ms (0%)

sample2.0s (23.8%)

Profiling