Details

analyze1.4s (19%)

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 (31.7%)

Results

1.4s	8256×	body	128	valid
902.0ms	5053×	body	128	invalid

Compiler

Compiled 98 to 74 computations (24.5% saved)

simplify24.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

628×	`fma-neg_binary64`
464×	`div-sub_binary64`
352×	`associate-l_binary64`
345×	`associate-r_binary64`
185×	`associate-/r*_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	23	43
1	59	43
2	169	37
3	694	35
4	3748	33

Stop Event

1×	node limit

Counts

1 → 2

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

8.2b

Counts

3 → 2

Alt Table

Status	Error	Program
	16.8b	(-.f64 (/.f64 2 (.f64 r r)) (fma.f64 (fma.f64 v -1/4 3/8) (/.f64 (.f64 r r) (/.f64 (-.f64 1 v) (*.f64 w w))) 3/2))
▶	9.8b	(-.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

16.8b

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

▶

9.8b

(-.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 118 computations (31% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	3.8b	(/.f64 (.f64 (.f64 1/8 (-.f64 3 (.f64 2 v))) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 1 v))
✓	4.0b	(.f64 (.f64 (*.f64 w w) r) r)
✓	4.6b	(.f64 (.f64 1/8 (-.f64 3 (.f64 2 v))) (.f64 (.f64 (.f64 w w) r) r))
✓	9.8b	(.f64 (.f64 w w) r)

series110.0ms (1.5%)

Counts

4 → 120

Calls

4 calls:

51.0ms	(/.f64 (.f64 (.f64 1/8 (-.f64 3 (.f64 2 v))) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 1 v))
41.0ms	(.f64 (.f64 1/8 (-.f64 3 (.f64 2 v))) (.f64 (.f64 (.f64 w w) r) r))
10.0ms	(.f64 (.f64 (*.f64 w w) r) r)
7.0ms	(.f64 (.f64 w w) r)

rewrite72.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

280×	`prod-diff_binary64`
180×	`add-sqr-sqrt_binary64`
172×	`log1p-expm1-u_binary64`
172×	`expm1-log1p-u_binary64`
170×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	67
1	373	58
2	4922	58

Stop Event

1×	node limit

Counts

4 → 98

Calls

4 calls:

70.0ms	(/.f64 (.f64 (.f64 1/8 (-.f64 3 (.f64 2 v))) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 1 v))
70.0ms	(.f64 (.f64 (*.f64 w w) r) r)
70.0ms	(.f64 (.f64 1/8 (-.f64 3 (.f64 2 v))) (.f64 (.f64 (.f64 w w) r) r))
70.0ms	(.f64 (.f64 w w) r)

simplify64.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

501×	`associate-l_binary64`
455×	`fma-neg_binary64`
429×	`unswap-sqr_binary64`
390×	`associate-r_binary64`
322×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	51	2409
1	176	2249
2	672	2077
3	4105	2077

Stop Event

1×	node limit

Counts

218 → 126

prune238.0ms (3.2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	118	8	126
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	118	10	128

Error

0.1b

Counts

128 → 10

Alt Table

Status	Error	Program
✓	9.8b	(-.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)
▶	0.3b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (/.f64 (+.f64 3/8 (.f64 (.f64 v -2) 1/8)) (-.f64 1 v)) (pow.f64 (*.f64 w r) 2))) 9/2)
	5.3b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 (.f64 1/8 (-.f64 3 (.f64 2 v))) (.f64 (pow.f64 (cbrt.f64 (.f64 w (*.f64 w r))) 3) r)) (-.f64 1 v))) 9/2)
	16.7b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 w (.f64 (.f64 w (.f64 r r)) (+.f64 3/8 (.f64 v -1/4)))) (-.f64 1 v))) 9/2)
	14.6b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 r (.f64 r (.f64 (*.f64 w w) 3/8))) (-.f64 1 v))) 9/2)
	17.6b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 w (.f64 w (.f64 (*.f64 1/4 r) r)))) 9/2)
	16.8b	(-.f64 (/.f64 2 (.f64 r r)) (fma.f64 (fma.f64 v -1/4 3/8) (/.f64 (.f64 r r) (/.f64 (-.f64 1 v) (*.f64 w w))) 3/2))
	4.5b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (pow.f64 (cbrt.f64 (/.f64 1/8 (/.f64 (-.f64 1 v) (.f64 (+.f64 3 (.f64 v -2)) (pow.f64 (.f64 w r) 2))))) 3)) 9/2)
	3.8b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (.f64 (.f64 w (.f64 w r)) (+.f64 3/8 (.f64 (.f64 v -2) 1/8))) (.f64 r (/.f64 1 (-.f64 1 v))))) 9/2)
	4.3b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 1 (/.f64 1/8 (/.f64 (-.f64 1 v) (.f64 (+.f64 3 (.f64 v -2)) (pow.f64 (*.f64 w r) 2)))))) 9/2)

Compiler

Compiled 4645 to 3317 computations (28.6% saved)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (/.f64 (+.f64 3/8 (.f64 (.f64 v -2) 1/8)) (-.f64 1 v)) (pow.f64 (*.f64 w r) 2))) 9/2)
✓	0.1b	(.f64 (/.f64 (+.f64 3/8 (.f64 (.f64 v -2) 1/8)) (-.f64 1 v)) (pow.f64 (.f64 w r) 2))
✓	0.3b	(pow.f64 (*.f64 w r) 2)
✓	0.6b	(/.f64 2 (*.f64 r r))

series124.0ms (1.7%)

Counts

4 → 108

Calls

4 calls:

70.0ms	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (/.f64 (+.f64 3/8 (.f64 (.f64 v -2) 1/8)) (-.f64 1 v)) (pow.f64 (*.f64 w r) 2))) 9/2)
45.0ms	(.f64 (/.f64 (+.f64 3/8 (.f64 (.f64 v -2) 1/8)) (-.f64 1 v)) (pow.f64 (.f64 w r) 2))
6.0ms	(pow.f64 (*.f64 w r) 2)
2.0ms	(/.f64 2 (*.f64 r r))

rewrite39.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

267×	`add-sqr-sqrt_binary64`
262×	`log1p-expm1-u_binary64`
262×	`expm1-log1p-u_binary64`
259×	`add-cbrt-cube_binary64`
252×	`add-cube-cbrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	73
1	558	65

Stop Event

1×	node limit

Counts

4 → 68

Calls

4 calls:

38.0ms	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (/.f64 (+.f64 3/8 (.f64 (.f64 v -2) 1/8)) (-.f64 1 v)) (pow.f64 (*.f64 w r) 2))) 9/2)
38.0ms	(.f64 (/.f64 (+.f64 3/8 (.f64 (.f64 v -2) 1/8)) (-.f64 1 v)) (pow.f64 (.f64 w r) 2))
38.0ms	(pow.f64 (*.f64 w r) 2)
38.0ms	(/.f64 2 (*.f64 r r))

simplify56.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

573×	`fma-def_binary64`
433×	`associate-l_binary64`
403×	`associate-r_binary64`
250×	`cancel-sign-sub-inv_binary64`
207×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	87	3114
1	304	2918
2	1124	2650

Stop Event

1×	node limit

Counts

176 → 114

prune191.0ms (2.6%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	108	6	114
Fresh	3	5	8
Picked	1	0	1
Done	0	1	1
Total	112	12	124

Error

Counts

124 → 12

Alt Table

Status	Error	Program
▶	0.2b	(+.f64 (-.f64 (fma.f64 2 (pow.f64 r -2) 3) (.f64 (pow.f64 (.f64 r w) 2) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)))) -9/2)
	5.3b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 (.f64 1/8 (-.f64 3 (.f64 2 v))) (.f64 (pow.f64 (cbrt.f64 (.f64 w (*.f64 w r))) 3) r)) (-.f64 1 v))) 9/2)
	16.7b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 w (.f64 (.f64 w (.f64 r r)) (+.f64 3/8 (.f64 v -1/4)))) (-.f64 1 v))) 9/2)
	1.0b	(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 r -2) 3)) 2) (cbrt.f64 (fma.f64 2 (pow.f64 r -2) 3)) (neg.f64 (fma.f64 (pow.f64 (*.f64 r w) 2) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)) 9/2)))
	0.3b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (pow.f64 (sqrt.f64 (.f64 (pow.f64 (*.f64 r w) 2) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)))) 2)) 9/2)
	16.8b	(-.f64 (/.f64 2 (.f64 r r)) (fma.f64 (fma.f64 v -1/4 3/8) (/.f64 (.f64 r r) (/.f64 (-.f64 1 v) (*.f64 w w))) 3/2))
✓	9.8b	(-.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)
	15.7b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (/.f64 (+.f64 3/8 (.f64 (.f64 v -2) 1/8)) (-.f64 1 v)) (.f64 (.f64 w w) (*.f64 r r)))) 9/2)
	3.8b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (.f64 (.f64 w (.f64 w r)) (+.f64 3/8 (.f64 (.f64 v -2) 1/8))) (.f64 r (/.f64 1 (-.f64 1 v))))) 9/2)
	33.4b	(/.f64 (-.f64 (pow.f64 (-.f64 (fma.f64 2 (pow.f64 r -2) 3) (.f64 (pow.f64 (.f64 r w) 2) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)))) 3) 729/8) (+.f64 (pow.f64 (-.f64 (fma.f64 2 (pow.f64 r -2) 3) (.f64 (pow.f64 (.f64 r w) 2) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)))) 2) (+.f64 81/4 (.f64 (-.f64 (fma.f64 2 (pow.f64 r -2) 3) (.f64 (pow.f64 (*.f64 r w) 2) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)))) 9/2))))
	17.2b	(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 r 2))) (.f64 1/4 (/.f64 (.f64 v (.f64 (pow.f64 w 2) (pow.f64 r 2))) (-.f64 1 v)))) (+.f64 3/2 (.f64 3/8 (/.f64 (.f64 (pow.f64 w 2) (pow.f64 r 2)) (-.f64 1 v)))))
	4.3b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 1 (/.f64 1/8 (/.f64 (-.f64 1 v) (.f64 (+.f64 3 (.f64 v -2)) (pow.f64 (*.f64 w r) 2)))))) 9/2)

Compiler

Compiled 4314 to 3119 computations (27.7% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))
✓	0.0b	(+.f64 (-.f64 (fma.f64 2 (pow.f64 r -2) 3) (.f64 (pow.f64 (.f64 r w) 2) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)))) -9/2)
✓	0.1b	(.f64 (pow.f64 (.f64 r w) 2) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)))
✓	0.3b	(pow.f64 (*.f64 r w) 2)

series94.0ms (1.3%)

Counts

4 → 108

Calls

4 calls:

46.0ms	(+.f64 (-.f64 (fma.f64 2 (pow.f64 r -2) 3) (.f64 (pow.f64 (.f64 r w) 2) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)))) -9/2)
39.0ms	(.f64 (pow.f64 (.f64 r w) 2) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)))
7.0ms	(pow.f64 (*.f64 r w) 2)
2.0ms	(/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))

rewrite37.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

224×	`add-sqr-sqrt_binary64`
221×	`log1p-expm1-u_binary64`
221×	`expm1-log1p-u_binary64`
217×	`add-cbrt-cube_binary64`
211×	`add-cube-cbrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	71
1	472	69

Stop Event

1×	node limit

Counts

4 → 86

Calls

4 calls:

35.0ms	(/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))
35.0ms	(+.f64 (-.f64 (fma.f64 2 (pow.f64 r -2) 3) (.f64 (pow.f64 (.f64 r w) 2) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)))) -9/2)
35.0ms	(.f64 (pow.f64 (.f64 r w) 2) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)))
35.0ms	(pow.f64 (*.f64 r w) 2)

simplify53.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

663×	`fma-def_binary64`
443×	`associate-l_binary64`
405×	`associate-r_binary64`
276×	`cancel-sign-sub-inv_binary64`
214×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	108	3168
1	369	2964
2	1308	2685

Stop Event

1×	node limit

Counts

194 → 147

prune229.0ms (3.1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	144	3	147
Fresh	4	6	10
Picked	1	0	1
Done	0	1	1
Total	149	10	159

Error

Counts

159 → 10

Alt Table

Status	Error	Program
	16.7b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 w (.f64 (.f64 w (.f64 r r)) (+.f64 3/8 (.f64 v -1/4)))) (-.f64 1 v))) 9/2)
	15.1b	(+.f64 (-.f64 (fma.f64 2 (pow.f64 r -2) 3) (.f64 r (.f64 (.f64 (.f64 r w) w) (fma.f64 v 1/8 3/8)))) -9/2)
	5.3b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 (.f64 1/8 (-.f64 3 (.f64 2 v))) (.f64 (pow.f64 (cbrt.f64 (.f64 w (*.f64 w r))) 3) r)) (-.f64 1 v))) 9/2)
	1.0b	(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 r -2) 3)) 2) (cbrt.f64 (fma.f64 2 (pow.f64 r -2) 3)) (neg.f64 (fma.f64 (pow.f64 (*.f64 r w) 2) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)) 9/2)))
▶	0.3b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (pow.f64 (sqrt.f64 (.f64 (pow.f64 (*.f64 r w) 2) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)))) 2)) 9/2)
	1.2b	(+.f64 (-.f64 (fma.f64 2 (pow.f64 r -2) 3) (.f64 (.f64 r (.f64 (.f64 r w) w)) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)))) -9/2)
✓	9.8b	(-.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)
	15.7b	(+.f64 (/.f64 2 (.f64 r r)) (+.f64 (.f64 (.f64 w w) (fma.f64 1/4 (.f64 (/.f64 v (-.f64 1 v)) (.f64 r r)) (/.f64 (.f64 (*.f64 r r) -3/8) (-.f64 1 v)))) -3/2))
	33.4b	(/.f64 (-.f64 (pow.f64 (-.f64 (fma.f64 2 (pow.f64 r -2) 3) (.f64 (pow.f64 (.f64 r w) 2) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)))) 3) 729/8) (+.f64 (pow.f64 (-.f64 (fma.f64 2 (pow.f64 r -2) 3) (.f64 (pow.f64 (.f64 r w) 2) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)))) 2) (+.f64 81/4 (.f64 (-.f64 (fma.f64 2 (pow.f64 r -2) 3) (.f64 (pow.f64 (*.f64 r w) 2) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)))) 9/2))))
	4.3b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 1 (/.f64 1/8 (/.f64 (-.f64 1 v) (.f64 (+.f64 3 (.f64 v -2)) (pow.f64 (*.f64 w r) 2)))))) 9/2)

Compiler

Compiled 5092 to 3744 computations (26.5% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(pow.f64 (*.f64 r w) 2)
✓	0.3b	(pow.f64 (sqrt.f64 (.f64 (pow.f64 (.f64 r w) 2) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)))) 2)
	0.6b	(/.f64 2 (*.f64 r r))
✓	12.0b	(sqrt.f64 (.f64 (pow.f64 (.f64 r w) 2) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))))

series79.0ms (1.1%)

Counts

2 → 72

Calls

2 calls:

47.0ms	(pow.f64 (sqrt.f64 (.f64 (pow.f64 (.f64 r w) 2) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)))) 2)
32.0ms	(sqrt.f64 (.f64 (pow.f64 (.f64 r w) 2) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))))

rewrite59.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

260×	`expm1-udef_binary64`
259×	`log1p-udef_binary64`
150×	`prod-diff_binary64`
149×	`add-sqr-sqrt_binary64`
147×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	42
1	340	39
2	3873	39

Stop Event

1×	node limit

Counts

2 → 76

Calls

2 calls:

57.0ms	(pow.f64 (sqrt.f64 (.f64 (pow.f64 (.f64 r w) 2) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)))) 2)
57.0ms	(sqrt.f64 (.f64 (pow.f64 (.f64 r w) 2) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))))

simplify40.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

727×	`times-frac_binary64`
539×	`associate-/l*_binary64`
506×	`fma-def_binary64`
169×	`associate-/r/_binary64`
131×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	101	2047
1	346	1968
2	1399	1715

Stop Event

1×	node limit

Counts

148 → 114

prune254.0ms (3.5%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	149	1	150
Fresh	1	7	8
Picked	0	1	1
Done	0	1	1
Total	150	10	160

Error

Counts

160 → 10

Alt Table

Status	Error	Program
	16.7b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 w (.f64 (.f64 w (.f64 r r)) (+.f64 3/8 (.f64 v -1/4)))) (-.f64 1 v))) 9/2)
	15.1b	(+.f64 (-.f64 (fma.f64 2 (pow.f64 r -2) 3) (.f64 r (.f64 (.f64 (.f64 r w) w) (fma.f64 v 1/8 3/8)))) -9/2)
✓	9.8b	(-.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)
	0.3b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (.f64 r w) (.f64 (*.f64 r w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))))) 9/2)
	5.3b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 (.f64 1/8 (-.f64 3 (.f64 2 v))) (.f64 (pow.f64 (cbrt.f64 (.f64 w (*.f64 w r))) 3) r)) (-.f64 1 v))) 9/2)
	1.0b	(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 r -2) 3)) 2) (cbrt.f64 (fma.f64 2 (pow.f64 r -2) 3)) (neg.f64 (fma.f64 (pow.f64 (*.f64 r w) 2) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)) 9/2)))
✓	0.3b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (pow.f64 (sqrt.f64 (.f64 (pow.f64 (*.f64 r w) 2) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)))) 2)) 9/2)
	1.2b	(+.f64 (-.f64 (fma.f64 2 (pow.f64 r -2) 3) (.f64 (.f64 r (.f64 (.f64 r w) w)) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)))) -9/2)
	15.7b	(+.f64 (/.f64 2 (.f64 r r)) (+.f64 (.f64 (.f64 w w) (fma.f64 1/4 (.f64 (/.f64 v (-.f64 1 v)) (.f64 r r)) (/.f64 (.f64 (*.f64 r r) -3/8) (-.f64 1 v)))) -3/2))
	33.4b	(/.f64 (-.f64 (pow.f64 (-.f64 (fma.f64 2 (pow.f64 r -2) 3) (.f64 (pow.f64 (.f64 r w) 2) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)))) 3) 729/8) (+.f64 (pow.f64 (-.f64 (fma.f64 2 (pow.f64 r -2) 3) (.f64 (pow.f64 (.f64 r w) 2) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)))) 2) (+.f64 81/4 (.f64 (-.f64 (fma.f64 2 (pow.f64 r -2) 3) (.f64 (pow.f64 (*.f64 r w) 2) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)))) 9/2))))

Compiler

Compiled 5105 to 3560 computations (30.3% saved)

regimes1.5s (21.1%)

Accuracy

Total 0.2b remaining (82.9%)

Threshold costs 0.2b (82.9%)

Counts

184 → 1

Compiler

Compiled 32563 to 25164 computations (22.7% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

7×	`+-commutative_binary64`
6×	`*-commutative_binary64`
6×	`sub-neg_binary64`
4×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	36
1	35	36
2	48	36
3	56	36
4	61	36
5	62	36

Stop Event

1×

saturated

end234.0ms (3.2%)

Compiler: Compiled 413 to 314 computations (24% saved)

Details

analyze1.4s (19%)

sample2.3s (31.7%)

simplify24.0ms (0.3%)

prune5.0ms (0.1%)

localize18.0ms (0.2%)

series110.0ms (1.5%)

rewrite72.0ms (1%)

simplify64.0ms (0.9%)

prune238.0ms (3.2%)

localize19.0ms (0.3%)

series124.0ms (1.7%)

rewrite39.0ms (0.5%)

simplify56.0ms (0.8%)

prune191.0ms (2.6%)

localize13.0ms (0.2%)

series94.0ms (1.3%)

rewrite37.0ms (0.5%)

simplify53.0ms (0.7%)

prune229.0ms (3.1%)

localize18.0ms (0.2%)

series79.0ms (1.1%)

rewrite59.0ms (0.8%)

simplify40.0ms (0.5%)

prune254.0ms (3.5%)

regimes1.5s (21.1%)

simplify3.0ms (0%)

end234.0ms (3.2%)

Profiling