Details

analyze1.4s (15.3%)

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)

sample2.2s (24.6%)

Results

1.4s	8256×	body	128	valid
791.0ms	5044×	body	128	invalid

Compiler

Compiled 98 to 74 computations (24.5% saved)

simplify23.0ms (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

prune4.0ms (0%)

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

13.0b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	15.8b	(-.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)
	20.6b	(-.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))

Status

Error

Program

▶

15.8b

(-.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)

20.6b

(-.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))

Compiler

Compiled 171 to 118 computations (31% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.3b	(.f64 (.f64 1/8 (-.f64 3 (.f64 2 v))) (.f64 (.f64 (.f64 w w) r) r))
✓	7.5b	(/.f64 (.f64 (.f64 1/8 (-.f64 3 (.f64 2 v))) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 1 v))
✓	7.8b	(.f64 (.f64 (*.f64 w w) r) r)
✓	11.6b	(.f64 (.f64 w w) r)

series108.0ms (1.2%)

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))
39.0ms	(.f64 (.f64 1/8 (-.f64 3 (.f64 2 v))) (.f64 (.f64 (.f64 w w) r) r))
9.0ms	(.f64 (.f64 (*.f64 w w) r) r)
8.0ms	(.f64 (.f64 w w) r)

rewrite73.0ms (0.8%)

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	4923	58

Stop Event

1×	node limit

Counts

4 → 98

Calls

4 calls:

72.0ms	(.f64 (.f64 1/8 (-.f64 3 (.f64 2 v))) (.f64 (.f64 (.f64 w w) r) r))
72.0ms	(/.f64 (.f64 (.f64 1/8 (-.f64 3 (.f64 2 v))) (.f64 (.f64 (.f64 w w) r) r)) (-.f64 1 v))
72.0ms	(.f64 (.f64 (*.f64 w w) r) r)
72.0ms	(.f64 (.f64 w w) r)

simplify59.0ms (0.6%)

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	4107	2077

Stop Event

1×	node limit

Counts

218 → 126

prune248.0ms (2.7%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	115	11	126
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	116	12	128

Error

0.1b

Counts

128 → 12

Alt Table

Status	Error	Program
	10.7b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 (.f64 1/8 (-.f64 3 (.f64 2 v))) (.f64 (.f64 w (*.f64 w r)) r)) (-.f64 1 v))) 9/2)
	0.6b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (+.f64 3/8 (.f64 (.f64 v -2) 1/8)) (/.f64 1 (/.f64 (-.f64 1 v) (pow.f64 (*.f64 w r) 2))))) 9/2)
	24.1b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 1/4 (*.f64 (pow.f64 w 2) (pow.f64 r 2)))) 9/2)
	19.4b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 w (.f64 (.f64 w (.f64 r r)) (.f64 1/8 (fma.f64 v -2 3)))) (-.f64 1 v))) 9/2)
	0.8b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (cbrt.f64 (/.f64 (pow.f64 (.f64 w r) 2) (/.f64 (-.f64 1 v) (+.f64 3/8 (.f64 (.f64 v -2) 1/8))))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (.f64 w r) 2) (/.f64 (-.f64 1 v) (+.f64 3/8 (.f64 (.f64 v -2) 1/8))))) 2))) 9/2)
	20.6b	(-.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))
▶	0.5b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (pow.f64 (/.f64 (pow.f64 (.f64 w r) 2) (/.f64 (-.f64 1 v) (+.f64 3/8 (.f64 (.f64 v -2) 1/8)))) 1)) 9/2)
	0.7b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (/.f64 (pow.f64 (.f64 w r) 2) (pow.f64 (cbrt.f64 (-.f64 1 v)) 2)) (/.f64 (+.f64 3/8 (.f64 (*.f64 v -2) 1/8)) (cbrt.f64 (-.f64 1 v))))) 9/2)
	8.0b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (/.f64 (.f64 (+.f64 3 (.f64 v -2)) (.f64 1/8 (.f64 w (*.f64 w r)))) 1) (/.f64 r (-.f64 1 v)))) 9/2)
	19.3b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 w (.f64 (.f64 w (*.f64 r r)) 1/4))) 9/2)
	34.0b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (.f64 w (.f64 w (.f64 r r))) (+.f64 (.f64 1/8 (+.f64 v (*.f64 v v))) (fma.f64 1/8 (pow.f64 v 3) 3/8)))) 9/2)
	14.8b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (.f64 (.f64 w r) (sqrt.f64 (+.f64 3/8 (.f64 (.f64 v -2) 1/8)))) (.f64 (.f64 (.f64 w r) (sqrt.f64 (+.f64 3/8 (.f64 (*.f64 v -2) 1/8)))) (/.f64 1 (-.f64 1 v))))) 9/2)

Compiler

Compiled 4869 to 3480 computations (28.5% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (pow.f64 (/.f64 (pow.f64 (.f64 w r) 2) (/.f64 (-.f64 1 v) (+.f64 3/8 (.f64 (.f64 v -2) 1/8)))) 1)) 9/2)
✓	0.3b	(/.f64 (pow.f64 (.f64 w r) 2) (/.f64 (-.f64 1 v) (+.f64 3/8 (.f64 (*.f64 v -2) 1/8))))
✓	0.4b	(/.f64 2 (*.f64 r r))
✓	0.4b	(pow.f64 (*.f64 w r) 2)

series156.0ms (1.7%)

Counts

4 → 108

Calls

4 calls:

104.0ms	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (pow.f64 (/.f64 (pow.f64 (.f64 w r) 2) (/.f64 (-.f64 1 v) (+.f64 3/8 (.f64 (.f64 v -2) 1/8)))) 1)) 9/2)
41.0ms	(/.f64 (pow.f64 (.f64 w r) 2) (/.f64 (-.f64 1 v) (+.f64 3/8 (.f64 (*.f64 v -2) 1/8))))
8.0ms	(pow.f64 (*.f64 w r) 2)
2.0ms	(/.f64 2 (*.f64 r r))

rewrite37.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

269×	`log1p-expm1-u_binary64`
269×	`expm1-log1p-u_binary64`
263×	`add-cbrt-cube_binary64`
256×	`add-log-exp_binary64`
255×	`add-cube-cbrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	73
1	576	65

Stop Event

1×	node limit

Counts

4 → 73

Calls

4 calls:

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

simplify53.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

573×	`fma-def_binary64`
435×	`associate-l_binary64`
403×	`associate-r_binary64`
250×	`cancel-sign-sub-inv_binary64`
208×	`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

181 → 120

prune236.0ms (2.6%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	113	7	120
Fresh	6	5	11
Picked	1	0	1
Done	0	0	0
Total	120	12	132

Error

0.0b

Counts

132 → 12

Alt Table

Status	Error	Program
▶	0.5b	(.f64 1 (-.f64 (fma.f64 2 (pow.f64 r -2) 3) (fma.f64 (/.f64 (pow.f64 (.f64 w r) 2) (-.f64 1 v)) (fma.f64 v -1/4 3/8) 9/2)))
	0.8b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (pow.f64 (/.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 w r) 2)) 2) (cbrt.f64 (pow.f64 (.f64 w r) 2))) (/.f64 (-.f64 1 v) (+.f64 3/8 (.f64 (.f64 v -2) 1/8)))) 1)) 9/2)
	24.1b	(-.f64 (/.f64 2 (.f64 r r)) (fma.f64 (.f64 w w) (.f64 (.f64 r r) 1/4) 3/2))
	17.6b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (pow.f64 (.f64 (.f64 (.f64 (/.f64 r (-.f64 1 v)) r) (*.f64 w w)) (fma.f64 v -1/4 3/8)) 1)) 9/2)
	3.7b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (pow.f64 (/.f64 (.f64 r (.f64 (.f64 r w) w)) (/.f64 (-.f64 1 v) (+.f64 3/8 (.f64 (.f64 v -2) 1/8)))) 1)) 9/2)
	19.4b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 w (.f64 (.f64 w (.f64 r r)) (.f64 1/8 (fma.f64 v -2 3)))) (-.f64 1 v))) 9/2)
	35.1b	(cbrt.f64 (pow.f64 (-.f64 (fma.f64 2 (pow.f64 r -2) 3) (fma.f64 (/.f64 (pow.f64 (*.f64 w r) 2) (-.f64 1 v)) (fma.f64 v -1/4 3/8) 9/2)) 3))
	1.8b	(pow.f64 (cbrt.f64 (-.f64 (fma.f64 2 (pow.f64 r -2) 3) (fma.f64 (/.f64 (pow.f64 (*.f64 w r) 2) (-.f64 1 v)) (fma.f64 v -1/4 3/8) 9/2))) 3)
	8.0b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (/.f64 (.f64 (+.f64 3 (.f64 v -2)) (.f64 1/8 (.f64 w (*.f64 w r)))) 1) (/.f64 r (-.f64 1 v)))) 9/2)
	19.3b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 w (.f64 (.f64 w (*.f64 r r)) 1/4))) 9/2)
	34.0b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (.f64 w (.f64 w (.f64 r r))) (+.f64 (.f64 1/8 (+.f64 v (*.f64 v v))) (fma.f64 1/8 (pow.f64 v 3) 3/8)))) 9/2)
	14.8b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (.f64 (.f64 w r) (sqrt.f64 (+.f64 3/8 (.f64 (.f64 v -2) 1/8)))) (.f64 (.f64 (.f64 w r) (sqrt.f64 (+.f64 3/8 (.f64 (*.f64 v -2) 1/8)))) (/.f64 1 (-.f64 1 v))))) 9/2)

Compiler

Compiled 4570 to 3302 computations (27.7% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (fma.f64 2 (pow.f64 r -2) 3) (fma.f64 (/.f64 (pow.f64 (*.f64 w r) 2) (-.f64 1 v)) (fma.f64 v -1/4 3/8) 9/2))
✓	0.1b	(fma.f64 (/.f64 (pow.f64 (*.f64 w r) 2) (-.f64 1 v)) (fma.f64 v -1/4 3/8) 9/2)
✓	0.3b	(/.f64 (pow.f64 (*.f64 w r) 2) (-.f64 1 v))
	0.4b	(pow.f64 (*.f64 w r) 2)

series156.0ms (1.7%)

Counts

3 → 108

Calls

3 calls:

78.0ms

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

48.0ms

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

29.0ms

(/.f64 (pow.f64 (*.f64 w r) 2) (-.f64 1 v))

rewrite42.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

205×	`add-sqr-sqrt_binary64`
202×	`log1p-expm1-u_binary64`
202×	`expm1-log1p-u_binary64`
198×	`add-cbrt-cube_binary64`
193×	`add-cube-cbrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	65
1	436	65

Stop Event

1×	node limit

Counts

3 → 96

Calls

3 calls:

37.0ms

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

37.0ms

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

37.0ms

(/.f64 (pow.f64 (*.f64 w r) 2) (-.f64 1 v))

simplify73.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

927×	`fma-def_binary64`
320×	`cancel-sign-sub-inv_binary64`
225×	`times-frac_binary64`
224×	`associate-/l*_binary64`
148×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	109	3976
1	388	3776
2	1467	3356

Stop Event

1×	node limit

Counts

204 → 163

prune332.0ms (3.7%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	177	3	180
Fresh	1	10	11
Picked	1	0	1
Done	0	0	0
Total	179	13	192

Error

0.0b

Counts

192 → 13

Alt Table

Status	Error	Program
	0.8b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (pow.f64 (/.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 w r) 2)) 2) (cbrt.f64 (pow.f64 (.f64 w r) 2))) (/.f64 (-.f64 1 v) (+.f64 3/8 (.f64 (.f64 v -2) 1/8)))) 1)) 9/2)
	1.0b	(.f64 1 (-.f64 (fma.f64 2 (pow.f64 r -2) 3) (fma.f64 (/.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 w r)) 2) 2) (pow.f64 (cbrt.f64 (.f64 w r)) 2)) (-.f64 1 v)) (fma.f64 v -1/4 3/8) 9/2)))
	24.1b	(-.f64 (/.f64 2 (.f64 r r)) (fma.f64 (.f64 w w) (.f64 (.f64 r r) 1/4) 3/2))
	17.6b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (pow.f64 (.f64 (.f64 (.f64 (/.f64 r (-.f64 1 v)) r) (*.f64 w w)) (fma.f64 v -1/4 3/8)) 1)) 9/2)
	3.7b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (pow.f64 (/.f64 (.f64 r (.f64 (.f64 r w) w)) (/.f64 (-.f64 1 v) (+.f64 3/8 (.f64 (.f64 v -2) 1/8)))) 1)) 9/2)
▶	0.8b	(.f64 1 (-.f64 (fma.f64 2 (pow.f64 r -2) 3) (fma.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (.f64 w r) 2) (-.f64 1 v))) 3) (fma.f64 v -1/4 3/8) 9/2)))
	19.4b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 w (.f64 (.f64 w (.f64 r r)) (.f64 1/8 (fma.f64 v -2 3)))) (-.f64 1 v))) 9/2)
	1.8b	(pow.f64 (cbrt.f64 (-.f64 (fma.f64 2 (pow.f64 r -2) 3) (fma.f64 (/.f64 (pow.f64 (*.f64 w r) 2) (-.f64 1 v)) (fma.f64 v -1/4 3/8) 9/2))) 3)
	8.0b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (/.f64 (.f64 (+.f64 3 (.f64 v -2)) (.f64 1/8 (.f64 w (*.f64 w r)))) 1) (/.f64 r (-.f64 1 v)))) 9/2)
	19.3b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 w (.f64 (.f64 w (*.f64 r r)) 1/4))) 9/2)
	34.0b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (.f64 w (.f64 w (.f64 r r))) (+.f64 (.f64 1/8 (+.f64 v (*.f64 v v))) (fma.f64 1/8 (pow.f64 v 3) 3/8)))) 9/2)
	1.2b	(.f64 1 (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 (/.f64 (pow.f64 (.f64 w r) 2) (-.f64 1 v)) (fma.f64 v -1/4 3/8) 9/2))))
	14.8b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (.f64 (.f64 w r) (sqrt.f64 (+.f64 3/8 (.f64 (.f64 v -2) 1/8)))) (.f64 (.f64 (.f64 w r) (sqrt.f64 (+.f64 3/8 (.f64 (*.f64 v -2) 1/8)))) (/.f64 1 (-.f64 1 v))))) 9/2)

Compiler

Compiled 7065 to 5172 computations (26.8% saved)

localize44.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(/.f64 (pow.f64 (*.f64 w r) 2) (-.f64 1 v))
	0.4b	(pow.f64 (*.f64 w r) 2)
✓	0.5b	(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 w r) 2) (-.f64 1 v))) 3)
✓	17.8b	(cbrt.f64 (/.f64 (pow.f64 (*.f64 w r) 2) (-.f64 1 v)))

series1.4s (15.5%)

Counts

2 → 72

Calls

2 calls:

721.0ms	(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 w r) 2) (-.f64 1 v))) 3)
681.0ms	(cbrt.f64 (/.f64 (pow.f64 (*.f64 w r) 2) (-.f64 1 v)))

rewrite50.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

556×	`log-prod_binary64`
203×	`expm1-udef_binary64`
202×	`log1p-udef_binary64`
180×	`log-pow_binary64`
162×	`prod-diff_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	28
1	274	28
2	3101	28

Stop Event

1×	node limit

Counts

2 → 90

Calls

2 calls:

48.0ms	(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 w r) 2) (-.f64 1 v))) 3)
48.0ms	(cbrt.f64 (/.f64 (pow.f64 (*.f64 w r) 2) (-.f64 1 v)))

simplify74.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

628×	`fma-def_binary64`
331×	`associate-l_binary64`
294×	`associate-r_binary64`
158×	`*-commutative_binary64`
142×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	137	2797
1	413	2661
2	1371	2369
3	4800	2228

Stop Event

1×	node limit

Counts

162 → 148

prune428.0ms (4.7%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	218	3	221
Fresh	3	9	12
Picked	0	1	1
Done	0	0	0
Total	221	13	234

Error

Counts

234 → 13

Alt Table

Status	Error	Program
	19.3b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 w (.f64 (.f64 w (*.f64 r r)) 1/4))) 9/2)
	25.1b	(.f64 1 (-.f64 (fma.f64 2 (pow.f64 r -2) 3) (fma.f64 (.f64 w (.f64 w (.f64 r r))) (fma.f64 v -1/4 3/8) 9/2)))
	0.2b	(.f64 1 (-.f64 (fma.f64 2 (pow.f64 r -2) 3) (fma.f64 (/.f64 (.f64 w r) (/.f64 (-.f64 1 v) (*.f64 w r))) (fma.f64 v -1/4 3/8) 9/2)))
✓	0.8b	(.f64 1 (-.f64 (fma.f64 2 (pow.f64 r -2) 3) (fma.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (.f64 w r) 2) (-.f64 1 v))) 3) (fma.f64 v -1/4 3/8) 9/2)))
	3.7b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (pow.f64 (/.f64 (.f64 r (.f64 (.f64 r w) w)) (/.f64 (-.f64 1 v) (+.f64 3/8 (.f64 (.f64 v -2) 1/8)))) 1)) 9/2)
	19.4b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (/.f64 (.f64 w (.f64 (.f64 w (.f64 r r)) (.f64 1/8 (fma.f64 v -2 3)))) (-.f64 1 v))) 9/2)
	1.8b	(pow.f64 (cbrt.f64 (-.f64 (fma.f64 2 (pow.f64 r -2) 3) (fma.f64 (/.f64 (pow.f64 (*.f64 w r) 2) (-.f64 1 v)) (fma.f64 v -1/4 3/8) 9/2))) 3)
	0.7b	(.f64 1 (-.f64 (fma.f64 2 (pow.f64 r -2) 3) (fma.f64 (pow.f64 (.f64 (pow.f64 (cbrt.f64 (*.f64 w r)) 2) (cbrt.f64 (/.f64 1 (-.f64 1 v)))) 3) (fma.f64 v -1/4 3/8) 9/2)))
	0.8b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (pow.f64 (/.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 w r) 2)) 2) (cbrt.f64 (pow.f64 (.f64 w r) 2))) (/.f64 (-.f64 1 v) (+.f64 3/8 (.f64 (.f64 v -2) 1/8)))) 1)) 9/2)
	24.1b	(-.f64 (/.f64 2 (.f64 r r)) (fma.f64 (.f64 w w) (.f64 (.f64 r r) 1/4) 3/2))
	8.0b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (/.f64 (.f64 (+.f64 3 (.f64 v -2)) (.f64 1/8 (.f64 w (*.f64 w r)))) 1) (/.f64 r (-.f64 1 v)))) 9/2)
	1.2b	(.f64 1 (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 (/.f64 (pow.f64 (.f64 w r) 2) (-.f64 1 v)) (fma.f64 v -1/4 3/8) 9/2))))
	14.8b	(-.f64 (-.f64 (+.f64 3 (/.f64 2 (.f64 r r))) (.f64 (.f64 (.f64 w r) (sqrt.f64 (+.f64 3/8 (.f64 (.f64 v -2) 1/8)))) (.f64 (.f64 (.f64 w r) (sqrt.f64 (+.f64 3/8 (.f64 (*.f64 v -2) 1/8)))) (/.f64 1 (-.f64 1 v))))) 9/2)

Compiler

Compiled 8525 to 6547 computations (23.2% saved)

regimes1.5s (16.4%)

Accuracy

Total 0.2b remaining (90.1%)

Threshold costs 0.2b (90.1%)

Counts

194 → 1

Compiler

Compiled 35946 to 28495 computations (20.7% 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	22	34
1	32	34
2	39	34
3	43	34
4	45	34

Stop Event

1×

saturated

end309.0ms (3.4%)

Compiler: Compiled 463 to 354 computations (23.5% saved)

Details

analyze1.4s (15.3%)

sample2.2s (24.6%)

simplify23.0ms (0.3%)

prune4.0ms (0%)

localize16.0ms (0.2%)

series108.0ms (1.2%)

rewrite73.0ms (0.8%)

simplify59.0ms (0.6%)

prune248.0ms (2.7%)

localize17.0ms (0.2%)

series156.0ms (1.7%)

rewrite37.0ms (0.4%)

simplify53.0ms (0.6%)

prune236.0ms (2.6%)

localize15.0ms (0.2%)

series156.0ms (1.7%)

rewrite42.0ms (0.5%)

simplify73.0ms (0.8%)

prune332.0ms (3.7%)

localize44.0ms (0.5%)

series1.4s (15.5%)

rewrite50.0ms (0.6%)

simplify74.0ms (0.8%)

prune428.0ms (4.7%)

regimes1.5s (16.4%)

simplify2.0ms (0%)

end309.0ms (3.4%)

Profiling