Details

analyze2.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1

Compiler

Compiled 17 to 11 computations (35.3% saved)

sample927.0ms (26.7%)

Results

752.0ms

8256×

body

128

valid

Compiler

Compiled 44 to 28 computations (36.4% saved)

simplify74.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

649×	`fma-neg_binary64`
504×	`div-sub_binary64`
481×	`fma-def_binary64`
326×	`times-frac_binary64`
174×	`associate-/l/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	13	10
2	21	10
3	37	10
4	64	10
5	113	10
6	216	10
7	415	10
8	754	10
9	1183	10
10	1537	10
11	1612	10
12	1657	10
13	1684	10
14	1694	10
15	1702	10
16	1702	10
17	1600	10

Stop Event

1×

saturated

Counts

1 → 1

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

62.0b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	62.0b	(/.f64 (-.f64 x lo) (-.f64 hi lo))

Compiler

Compiled 30 to 18 computations (40% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	62.0b	(/.f64 (-.f64 x lo) (-.f64 hi lo))

series16.0ms (0.5%)

Counts

1 → 36

Calls

1 calls:

16.0ms

(/.f64 (-.f64 x lo) (-.f64 hi lo))

rewrite91.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

952×	`prod-diff_binary64`
728×	`fma-udef_binary64`
226×	`fma-neg_binary64`
166×	`expm1-udef_binary64`
166×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	167	10
2	2530	10
3	4730	10
4	4517	10
5	5108	10

Stop Event

1×	node limit

Counts

1 → 68

Calls

1 calls:

90.0ms

(/.f64 (-.f64 x lo) (-.f64 hi lo))

simplify62.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

721×	`sub-neg_binary64`
402×	`associate--l+_binary64`
332×	`associate--r+_binary64`
330×	`fma-def_binary64`
301×	`associate-+l+_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	78	1093
1	234	1075
2	842	919
3	4059	913
4	4904	898
5	5053	898

Stop Event

1×	node limit

Counts

104 → 99

prune47.0ms (1.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	94	5	99
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	95	5	100

Error

51.5b

Counts

100 → 5

Alt Table

Status	Error	Program
	58.0b	(-.f64 (*.f64 (/.f64 lo hi) (/.f64 (-.f64 x lo) hi)) (/.f64 (-.f64 lo x) hi))
	52.0b	(/.f64 (-.f64 x lo) hi)
	51.9b	(+.f64 (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)) (-.f64 (-.f64 1 (/.f64 x lo)) (.f64 (/.f64 x lo) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)))))
	57.5b	(+.f64 (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)) (+.f64 (pow.f64 (/.f64 hi lo) 3) (-.f64 (-.f64 1 (/.f64 x lo)) (.f64 (/.f64 x lo) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))))))
▶	51.9b	(-.f64 (+.f64 1 (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))) (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))

Compiler

Compiled 2482 to 874 computations (64.8% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.f64 1 (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)))
✓	0.2b	(*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo))
✓	0.4b	(*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))
✓	1.7b	(+.f64 1 (/.f64 hi lo))

series46.0ms (1.3%)

Counts

4 → 90

Calls

4 calls:

18.0ms	(*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo))
13.0ms	(*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))
11.0ms	(+.f64 1 (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)))
4.0ms	(+.f64 1 (/.f64 hi lo))

rewrite64.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

732×	`prod-diff_binary64`
219×	`log1p-udef_binary64`
151×	`egg-rr`
121×	`add-sqr-sqrt_binary64`
115×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	49
1	242	47
2	3375	47
3	5293	47

Stop Event

1×	node limit

Counts

4 → 151

Calls

4 calls:

61.0ms	(+.f64 1 (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)))
61.0ms	(*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo))
61.0ms	(*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))
61.0ms	(+.f64 1 (/.f64 hi lo))

simplify78.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

894×	`fma-def_binary64`
574×	`associate-/l*_binary64`
362×	`associate-/r*_binary64`
346×	`unswap-sqr_binary64`
331×	`associate-/l/_binary64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	19	1197
1	39	1197
2	75	1008
3	166	924
4	659	924
5	3131	924
6	4154	882
7	4684	882
8	5079	882

Stop Event

1×	node limit

Counts

241 → 164

prune146.0ms (4.2%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	185	14	199
Fresh	1	3	4
Picked	1	0	1
Done	0	0	0
Total	187	17	204

Error

51.3b

Counts

204 → 17

Alt Table

Status	Error	Program
	52.0b	(/.f64 (-.f64 x lo) hi)
	51.9b	(-.f64 (cbrt.f64 (pow.f64 (fma.f64 (/.f64 hi lo) (+.f64 1 (/.f64 hi lo)) 1) 3)) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	57.5b	(+.f64 (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)) (+.f64 (pow.f64 (/.f64 hi lo) 3) (-.f64 (-.f64 1 (/.f64 x lo)) (.f64 (/.f64 x lo) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))))))
	51.9b	(-.f64 (+.f64 1 (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))) (/.f64 x lo))
	51.9b	(-.f64 (pow.f64 (sqrt.f64 (fma.f64 (/.f64 hi lo) (+.f64 1 (/.f64 hi lo)) 1)) 2) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	51.9b	(-.f64 (+.f64 1 (.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 hi lo)) 2) (cbrt.f64 (/.f64 hi lo)) 1) (/.f64 hi lo))) (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	51.9b	(-.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 hi lo) (+.f64 1 (/.f64 hi lo)) 1)) 3) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	51.9b	(-.f64 (+.f64 1 (.f64 (fma.f64 hi (/.f64 1 lo) 1) (/.f64 hi lo))) (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	51.9b	(-.f64 (+.f64 1 (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))) (.f64 (/.f64 hi lo) (/.f64 x lo)))
	51.9b	(-.f64 (/.f64 (+.f64 1 (pow.f64 (.f64 (/.f64 hi lo) (+.f64 1 (/.f64 hi lo))) 3)) (+.f64 (pow.f64 (.f64 (/.f64 hi lo) (+.f64 1 (/.f64 hi lo))) 2) (-.f64 1 (.f64 (/.f64 hi lo) (+.f64 1 (/.f64 hi lo)))))) (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
▶	51.7b	(-.f64 (+.f64 1 (.f64 (sqrt.f64 (pow.f64 (+.f64 1 (/.f64 hi lo)) 2)) (/.f64 hi lo))) (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	51.9b	(-.f64 (.f64 (cbrt.f64 (fma.f64 (/.f64 hi lo) (+.f64 1 (/.f64 hi lo)) 1)) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 hi lo) (+.f64 1 (/.f64 hi lo)) 1)) 2)) (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	58.0b	(-.f64 (*.f64 (/.f64 lo hi) (/.f64 (-.f64 x lo) hi)) (/.f64 (-.f64 lo x) hi))
	51.9b	(-.f64 (log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 hi lo) (+.f64 1 (/.f64 hi lo)) 1)))) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	51.9b	(-.f64 (+.f64 1 (.f64 (log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 hi lo))))) (/.f64 hi lo))) (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	51.9b	(-.f64 (/.f64 1 (/.f64 (-.f64 1 (.f64 (/.f64 hi lo) (+.f64 1 (/.f64 hi lo)))) (-.f64 1 (pow.f64 (.f64 (/.f64 hi lo) (+.f64 1 (/.f64 hi lo))) 2)))) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	51.9b	(-.f64 (/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (.f64 (/.f64 hi lo) (+.f64 1 (/.f64 hi lo))) 2) (.f64 (/.f64 hi lo) (+.f64 1 (/.f64 hi lo))))) (+.f64 1 (pow.f64 (.f64 (/.f64 hi lo) (+.f64 1 (/.f64 hi lo))) 3)))) (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))

Compiler

Compiled 6417 to 3197 computations (50.2% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(+.f64 1 (*.f64 (sqrt.f64 (pow.f64 (+.f64 1 (/.f64 hi lo)) 2)) (/.f64 hi lo)))
✓	0.4b	(*.f64 (sqrt.f64 (pow.f64 (+.f64 1 (/.f64 hi lo)) 2)) (/.f64 hi lo))
✓	0.5b	(pow.f64 (+.f64 1 (/.f64 hi lo)) 2)
	1.7b	(+.f64 1 (/.f64 hi lo))

series29.0ms (0.8%)

Counts

3 → 72

Calls

3 calls:

13.0ms	(*.f64 (sqrt.f64 (pow.f64 (+.f64 1 (/.f64 hi lo)) 2)) (/.f64 hi lo))
10.0ms	(+.f64 1 (*.f64 (sqrt.f64 (pow.f64 (+.f64 1 (/.f64 hi lo)) 2)) (/.f64 hi lo)))
6.0ms	(pow.f64 (+.f64 1 (/.f64 hi lo)) 2)

rewrite66.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

714×	`prod-diff_binary64`
474×	`fma-def_binary64`
185×	`expm1-udef_binary64`
185×	`log1p-udef_binary64`
183×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	39
1	222	37
2	2771	37
3	5133	37

Stop Event

1×	node limit

Counts

3 → 181

Calls

3 calls:

62.0ms	(+.f64 1 (*.f64 (sqrt.f64 (pow.f64 (+.f64 1 (/.f64 hi lo)) 2)) (/.f64 hi lo)))
62.0ms	(*.f64 (sqrt.f64 (pow.f64 (+.f64 1 (/.f64 hi lo)) 2)) (/.f64 hi lo))
62.0ms	(pow.f64 (+.f64 1 (/.f64 hi lo)) 2)

simplify90.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

661×	`times-frac_binary64`
650×	`unswap-sqr_binary64`
357×	`distribute-rgt-out_binary64`
329×	`associate-/l*_binary64`
282×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	16	1014
1	37	1008
2	63	849
3	132	801
4	434	801
5	2504	801
6	4487	801
7	4807	801
8	4978	801
9	4959	801

Stop Event

1×	node limit

Counts

253 → 195

prune180.0ms (5.2%)

Pruning

27 alts after pruning (27 fresh and 0 done)

	Pruned	Kept	Total
New	243	22	265
Fresh	11	5	16
Picked	1	0	1
Done	0	0	0
Total	255	27	282

Error

50.6b

Counts

282 → 27

Alt Table

Status	Error	Program
	51.7b	(-.f64 (+.f64 1 (.f64 (sqrt.f64 (pow.f64 (fma.f64 hi (/.f64 1 lo) 1) 2)) (/.f64 hi lo))) (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	51.7b	(-.f64 (+.f64 1 (.f64 (sqrt.f64 (fma.f64 (/.f64 (+.f64 1 (/.f64 hi lo)) (pow.f64 (cbrt.f64 lo) 2)) (/.f64 hi (cbrt.f64 lo)) (+.f64 1 (/.f64 hi lo)))) (/.f64 hi lo))) (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	51.9b	(-.f64 (.f64 (cbrt.f64 (fma.f64 (/.f64 hi lo) (+.f64 1 (/.f64 hi lo)) 1)) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 hi lo) (+.f64 1 (/.f64 hi lo)) 1)) 2)) (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	51.7b	(-.f64 (+.f64 1 (.f64 (sqrt.f64 (pow.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 hi lo)) 2) (cbrt.f64 (/.f64 hi lo)) 1) 2)) (/.f64 hi lo))) (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	52.7b	(-.f64 (+.f64 1 (.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 hi lo)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 hi lo))) 2)) (.f64 (/.f64 hi lo) (+.f64 1 (/.f64 hi lo))))) (/.f64 hi lo))) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	58.0b	(-.f64 (*.f64 (/.f64 lo hi) (/.f64 (-.f64 x lo) hi)) (/.f64 (-.f64 lo x) hi))
	51.9b	(-.f64 (+.f64 1 (fma.f64 (/.f64 (pow.f64 (cbrt.f64 hi) 2) (pow.f64 (cbrt.f64 lo) 2)) (cbrt.f64 (/.f64 hi lo)) (pow.f64 (/.f64 hi lo) 2))) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	51.7b	(-.f64 (+.f64 1 (.f64 (sqrt.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 1 (/.f64 hi lo)) 2))) 1)) (/.f64 hi lo))) (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	52.0b	(/.f64 (-.f64 x lo) hi)
	51.9b	(-.f64 (+.f64 1 (fma.f64 (/.f64 (pow.f64 (cbrt.f64 hi) 2) 1) (/.f64 (cbrt.f64 hi) lo) (pow.f64 (/.f64 hi lo) 2))) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	51.7b	(-.f64 (+.f64 1 (.f64 (sqrt.f64 (fma.f64 (cbrt.f64 (.f64 (/.f64 hi lo) (+.f64 1 (/.f64 hi lo)))) (pow.f64 (cbrt.f64 (.f64 (/.f64 hi lo) (+.f64 1 (/.f64 hi lo)))) 2) (+.f64 1 (/.f64 hi lo)))) (/.f64 hi lo))) (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	51.9b	(-.f64 (+.f64 1 (fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 lo) 2)) (/.f64 hi (cbrt.f64 lo)) (pow.f64 (/.f64 hi lo) 2))) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	51.7b	(-.f64 (+.f64 1 (.f64 (sqrt.f64 (fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 hi lo))) 2) (.f64 (cbrt.f64 (+.f64 1 (/.f64 hi lo))) (/.f64 hi lo)) (+.f64 1 (/.f64 hi lo)))) (/.f64 hi lo))) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	51.9b	(-.f64 (+.f64 1 (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))) (/.f64 x lo))
	51.9b	(-.f64 (+.f64 1 (fma.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 hi lo)) 2) (pow.f64 (cbrt.f64 (/.f64 hi lo)) 2)) (pow.f64 (cbrt.f64 (/.f64 hi lo)) 2) (/.f64 hi lo))) (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	51.7b	(-.f64 (+.f64 1 (.f64 (sqrt.f64 (fma.f64 (cbrt.f64 (+.f64 1 (/.f64 hi lo))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 hi lo))) 2) (.f64 (/.f64 hi lo) (+.f64 1 (/.f64 hi lo))))) (/.f64 hi lo))) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	51.7b	(-.f64 (+.f64 1 (.f64 (sqrt.f64 (fma.f64 (/.f64 hi lo) (+.f64 2 (/.f64 hi lo)) 1)) (/.f64 hi lo))) (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	51.9b	(-.f64 (+.f64 1 (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))) (.f64 (/.f64 hi lo) (/.f64 x lo)))
▶	51.7b	(-.f64 (+.f64 1 (.f64 (sqrt.f64 (fma.f64 hi (.f64 (/.f64 1 lo) (+.f64 1 (/.f64 hi lo))) (+.f64 1 (/.f64 hi lo)))) (/.f64 hi lo))) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	51.9b	(-.f64 (+.f64 1 (fma.f64 (cbrt.f64 (/.f64 hi lo)) (pow.f64 (cbrt.f64 (/.f64 hi lo)) 2) (pow.f64 (/.f64 hi lo) 2))) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	51.7b	(-.f64 (+.f64 1 (.f64 (sqrt.f64 (log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 1 (/.f64 hi lo)) 2))))) (/.f64 hi lo))) (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	51.9b	(-.f64 (fma.f64 hi (.f64 (/.f64 1 lo) (+.f64 1 (/.f64 hi lo))) 1) (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	51.9b	(-.f64 (+.f64 1 (fma.f64 (/.f64 (sqrt.f64 hi) (pow.f64 (cbrt.f64 lo) 2)) (/.f64 (sqrt.f64 hi) (cbrt.f64 lo)) (pow.f64 (/.f64 hi lo) 2))) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	51.9b	(-.f64 (+.f64 1 (fma.f64 (sqrt.f64 hi) (.f64 (sqrt.f64 hi) (/.f64 1 lo)) (pow.f64 (/.f64 hi lo) 2))) (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	51.9b	(-.f64 (+.f64 1 (fma.f64 (pow.f64 (cbrt.f64 hi) 2) (.f64 (cbrt.f64 hi) (/.f64 1 lo)) (pow.f64 (/.f64 hi lo) 2))) (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	51.9b	(-.f64 (+.f64 1 (fma.f64 hi (.f64 (/.f64 1 lo) (/.f64 hi lo)) (/.f64 hi lo))) (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	57.2b	(-.f64 (+.f64 1 (.f64 (sqrt.f64 (pow.f64 (/.f64 hi lo) 2)) (/.f64 hi lo))) (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))

Compiler

Compiled 9695 to 4941 computations (49% saved)

localize14.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(+.f64 1 (.f64 (sqrt.f64 (fma.f64 hi (.f64 (/.f64 1 lo) (+.f64 1 (/.f64 hi lo))) (+.f64 1 (/.f64 hi lo)))) (/.f64 hi lo)))
✓	0.4b	(.f64 (sqrt.f64 (fma.f64 hi (.f64 (/.f64 1 lo) (+.f64 1 (/.f64 hi lo))) (+.f64 1 (/.f64 hi lo)))) (/.f64 hi lo))
	1.7b	(+.f64 1 (/.f64 hi lo))
✓	6.0b	(fma.f64 hi (*.f64 (/.f64 1 lo) (+.f64 1 (/.f64 hi lo))) (+.f64 1 (/.f64 hi lo)))

series63.0ms (1.8%)

Counts

3 → 72

Calls

3 calls:

31.0ms

(fma.f64 hi (*.f64 (/.f64 1 lo) (+.f64 1 (/.f64 hi lo))) (+.f64 1 (/.f64 hi lo)))

20.0ms

(*.f64 (sqrt.f64 (fma.f64 hi (*.f64 (/.f64 1 lo) (+.f64 1 (/.f64 hi lo))) (+.f64 1 (/.f64 hi lo)))) (/.f64 hi lo))

12.0ms

(+.f64 1 (*.f64 (sqrt.f64 (fma.f64 hi (*.f64 (/.f64 1 lo) (+.f64 1 (/.f64 hi lo))) (+.f64 1 (/.f64 hi lo)))) (/.f64 hi lo)))

rewrite87.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

650×	`fma-def_binary64`
274×	`fma-neg_binary64`
211×	`expm1-udef_binary64`
211×	`log1p-udef_binary64`
165×	`egg-rr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	79
1	267	37
2	3315	37
3	4984	37
4	4934	37

Stop Event

1×	node limit

Counts

3 → 165

Calls

3 calls:

84.0ms

(+.f64 1 (*.f64 (sqrt.f64 (fma.f64 hi (*.f64 (/.f64 1 lo) (+.f64 1 (/.f64 hi lo))) (+.f64 1 (/.f64 hi lo)))) (/.f64 hi lo)))

84.0ms

(*.f64 (sqrt.f64 (fma.f64 hi (*.f64 (/.f64 1 lo) (+.f64 1 (/.f64 hi lo))) (+.f64 1 (/.f64 hi lo)))) (/.f64 hi lo))

84.0ms

(fma.f64 hi (*.f64 (/.f64 1 lo) (+.f64 1 (/.f64 hi lo))) (+.f64 1 (/.f64 hi lo)))

simplify72.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

753×	`associate-/l*_binary64`
730×	`fma-neg_binary64`
484×	`associate-/r*_binary64`
449×	`associate-*l/_binary64`
387×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	1026
1	52	1020
2	107	853
3	256	805
4	1011	805
5	4461	805
6	4828	805
7	5092	805

Stop Event

1×	node limit

Counts

237 → 185

prune215.0ms (6.2%)

Pruning

29 alts after pruning (29 fresh and 0 done)

	Pruned	Kept	Total
New	273	17	290
Fresh	14	12	26
Picked	1	0	1
Done	0	0	0
Total	288	29	317

Error

50.6b

Counts

317 → 29

Alt Table

Status	Error	Program
	51.7b	(-.f64 (+.f64 1 (.f64 (sqrt.f64 (fma.f64 hi (.f64 (/.f64 1 lo) (+.f64 1 (/.f64 hi lo))) (+.f64 1 (/.f64 hi lo)))) (/.f64 hi lo))) (*.f64 1 (/.f64 x lo)))
	51.7b	(-.f64 (+.f64 1 (.f64 (sqrt.f64 (fma.f64 hi (.f64 (/.f64 1 lo) (+.f64 1 (/.f64 hi lo))) (.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 hi lo))) 2) (cbrt.f64 (+.f64 1 (/.f64 hi lo)))))) (/.f64 hi lo))) (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	51.9b	(-.f64 (+.f64 1 (fma.f64 (/.f64 (sqrt.f64 hi) (pow.f64 (cbrt.f64 lo) 2)) (/.f64 (sqrt.f64 hi) (cbrt.f64 lo)) (pow.f64 (/.f64 hi lo) 2))) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	52.7b	(-.f64 (+.f64 1 (.f64 (sqrt.f64 (fma.f64 hi (.f64 (/.f64 1 lo) (+.f64 1 (/.f64 hi lo))) (sqrt.f64 (pow.f64 (+.f64 1 (/.f64 hi lo)) 2)))) (/.f64 hi lo))) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	52.0b	(/.f64 (-.f64 x lo) hi)
	51.7b	(-.f64 (+.f64 1 (.f64 (sqrt.f64 (fma.f64 (cbrt.f64 (.f64 (/.f64 hi lo) (+.f64 1 (/.f64 hi lo)))) (pow.f64 (cbrt.f64 (.f64 (/.f64 hi lo) (+.f64 1 (/.f64 hi lo)))) 2) (+.f64 1 (/.f64 hi lo)))) (/.f64 hi lo))) (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	51.7b	(-.f64 (+.f64 1 (.f64 (sqrt.f64 (fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 hi lo))) 2) (.f64 (cbrt.f64 (+.f64 1 (/.f64 hi lo))) (/.f64 hi lo)) (+.f64 1 (/.f64 hi lo)))) (/.f64 hi lo))) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	51.7b	(-.f64 (+.f64 1 (.f64 (sqrt.f64 (fma.f64 hi (.f64 (/.f64 1 lo) (log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 hi lo)))))) (+.f64 1 (/.f64 hi lo)))) (/.f64 hi lo))) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	51.9b	(-.f64 (+.f64 1 (fma.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 hi lo)) 2) (pow.f64 (cbrt.f64 (/.f64 hi lo)) 2)) (pow.f64 (cbrt.f64 (/.f64 hi lo)) 2) (/.f64 hi lo))) (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	51.7b	(-.f64 (+.f64 1 (.f64 (sqrt.f64 (fma.f64 (cbrt.f64 (+.f64 1 (/.f64 hi lo))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 hi lo))) 2) (.f64 (/.f64 hi lo) (+.f64 1 (/.f64 hi lo))))) (/.f64 hi lo))) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	51.7b	(-.f64 (+.f64 1 (.f64 (sqrt.f64 (fma.f64 (/.f64 hi lo) (+.f64 2 (/.f64 hi lo)) 1)) (/.f64 hi lo))) (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	51.9b	(-.f64 (.f64 (cbrt.f64 (fma.f64 hi (/.f64 (+.f64 1 (/.f64 hi lo)) lo) 1)) (pow.f64 (cbrt.f64 (fma.f64 hi (/.f64 (+.f64 1 (/.f64 hi lo)) lo) 1)) 2)) (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	51.9b	(-.f64 (+.f64 1 (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))) (.f64 (/.f64 hi lo) (/.f64 x lo)))
	51.7b	(-.f64 (+.f64 1 (.f64 (sqrt.f64 (fma.f64 hi (.f64 (/.f64 1 lo) (fma.f64 hi (/.f64 1 lo) 1)) (+.f64 1 (/.f64 hi lo)))) (/.f64 hi lo))) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	51.7b	(-.f64 (+.f64 1 (.f64 (sqrt.f64 (fma.f64 hi (.f64 (/.f64 1 lo) (-.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 hi lo)))) 1)) (+.f64 1 (/.f64 hi lo)))) (/.f64 hi lo))) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	51.7b	(-.f64 (+.f64 1 (.f64 (sqrt.f64 (fma.f64 hi (.f64 (/.f64 1 lo) (+.f64 1 (/.f64 hi lo))) (fma.f64 hi (/.f64 1 lo) 1))) (/.f64 hi lo))) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	51.7b	(-.f64 (+.f64 1 (.f64 (sqrt.f64 (+.f64 (fma.f64 hi (/.f64 (+.f64 1 (/.f64 hi lo)) lo) (/.f64 hi lo)) 1)) (/.f64 hi lo))) (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	51.9b	(-.f64 (+.f64 1 (fma.f64 (pow.f64 (cbrt.f64 hi) 2) (.f64 (cbrt.f64 hi) (/.f64 1 lo)) (pow.f64 (/.f64 hi lo) 2))) (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	51.7b	(-.f64 (+.f64 1 (.f64 (sqrt.f64 (fma.f64 hi (.f64 (/.f64 1 lo) (+.f64 1 (/.f64 hi lo))) (-.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 hi lo)))) 1))) (/.f64 hi lo))) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	51.9b	(-.f64 (+.f64 1 (fma.f64 hi (.f64 (/.f64 1 lo) (/.f64 hi lo)) (/.f64 hi lo))) (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	51.7b	(-.f64 (+.f64 1 (.f64 (sqrt.f64 (fma.f64 hi (.f64 (/.f64 1 lo) (-.f64 (/.f64 1 (-.f64 1 (/.f64 hi lo))) (/.f64 (pow.f64 (/.f64 hi lo) 2) (-.f64 1 (/.f64 hi lo))))) (+.f64 1 (/.f64 hi lo)))) (/.f64 hi lo))) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	51.7b	(-.f64 (+.f64 1 (.f64 (sqrt.f64 (fma.f64 hi (.f64 (/.f64 1 lo) (fma.f64 (pow.f64 (cbrt.f64 (/.f64 hi lo)) 2) (cbrt.f64 (/.f64 hi lo)) 1)) (+.f64 1 (/.f64 hi lo)))) (/.f64 hi lo))) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	51.7b	(-.f64 (+.f64 1 (.f64 (sqrt.f64 (fma.f64 hi (.f64 (/.f64 1 lo) (+.f64 1 (/.f64 hi lo))) (fma.f64 (pow.f64 (cbrt.f64 (/.f64 hi lo)) 2) (cbrt.f64 (/.f64 hi lo)) 1))) (/.f64 hi lo))) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	57.2b	(-.f64 (+.f64 1 (neg.f64 (.f64 (/.f64 hi lo) (/.f64 hi lo)))) (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	52.7b	(-.f64 (+.f64 1 (.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 hi lo)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 hi lo))) 2)) (.f64 (/.f64 hi lo) (+.f64 1 (/.f64 hi lo))))) (/.f64 hi lo))) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	58.0b	(-.f64 (*.f64 (/.f64 lo hi) (/.f64 (-.f64 x lo) hi)) (/.f64 (-.f64 lo x) hi))
	51.7b	(-.f64 (+.f64 1 (.f64 (sqrt.f64 (fma.f64 hi (.f64 (/.f64 1 lo) (+.f64 1 (/.f64 hi lo))) (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 hi lo)) 3)))) (/.f64 hi lo))) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	51.7b	(-.f64 (+.f64 1 (.f64 (sqrt.f64 (fma.f64 hi (.f64 (/.f64 1 lo) (+.f64 1 (/.f64 hi lo))) (-.f64 (/.f64 1 (-.f64 1 (/.f64 hi lo))) (/.f64 (pow.f64 (/.f64 hi lo) 2) (-.f64 1 (/.f64 hi lo)))))) (/.f64 hi lo))) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	51.7b	(-.f64 (+.f64 1 (.f64 (sqrt.f64 (fma.f64 hi (.f64 (/.f64 1 lo) (.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 hi lo))) 2) (cbrt.f64 (+.f64 1 (/.f64 hi lo))))) (+.f64 1 (/.f64 hi lo)))) (/.f64 hi lo))) (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))

Compiler

Compiled 10424 to 5256 computations (49.6% saved)

regimes552.0ms (15.9%)

Accuracy

Total 0.8b remaining (1.6%)

Threshold costs 0.8b (1.6%)

Counts

130 → 1

Compiler

Compiled 16834 to 10108 computations (40% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	60
1	32	60
2	45	60
3	58	60
4	68	60
5	74	60
6	76	60
7	74	60

Stop Event

1×

saturated

end516.0ms (14.9%)

Compiler: Compiled 1154 to 679 computations (41.2% saved)

Details

analyze2.0ms (0.1%)

sample927.0ms (26.7%)

simplify74.0ms (2.1%)

prune1.0ms (0%)

localize4.0ms (0.1%)

series16.0ms (0.5%)

rewrite91.0ms (2.6%)

simplify62.0ms (1.8%)

prune47.0ms (1.4%)

localize9.0ms (0.3%)

series46.0ms (1.3%)

rewrite64.0ms (1.8%)

simplify78.0ms (2.2%)

prune146.0ms (4.2%)

localize11.0ms (0.3%)

series29.0ms (0.8%)

rewrite66.0ms (1.9%)

simplify90.0ms (2.6%)

prune180.0ms (5.2%)

localize14.0ms (0.4%)

series63.0ms (1.8%)

rewrite87.0ms (2.5%)

simplify72.0ms (2.1%)

prune215.0ms (6.2%)

regimes552.0ms (15.9%)

simplify4.0ms (0.1%)

end516.0ms (14.9%)

Profiling