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)

sample768.0ms (22.1%)

Results

755.0ms

8256×

body

128

valid

Compiler

Compiled 34 to 22 computations (35.3% saved)

preprocess34.0ms (1%)

Algorithm

2×	egg-herbie

Rules

922×	`fma-neg_binary64`
610×	`times-frac_binary64`
428×	`div-sub_binary64`
255×	`distribute-rgt-in_binary64`
236×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	40
1	35	40
2	57	40
3	100	40
4	221	40
5	493	40
6	1108	40
7	2991	40
0	3	3

Stop Event

1×	saturated
1×	node limit

Compiler

Compiled 10 to 6 computations (40% saved)

simplify58.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

649×	`fma-neg_binary64`
496×	`div-sub_binary64`
481×	`fma-def_binary64`
322×	`times-frac_binary64`
160×	`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	72	10
5	127	10
6	265	10
7	547	10
8	1353	10
9	2750	10
10	3664	10
11	4026	10
12	4151	10
13	4178	10
14	4188	10
15	4196	10
16	4196	10

Stop Event

1×

saturated

Counts

1 → 2

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	2	3

Error

62.0b

Counts

3 → 1

Alt Table

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

Compiler

Compiled 37 to 21 computations (43.2% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

series22.0ms (0.6%)

Counts

1 → 36

Calls

9 calls:

7.0ms	(/.f64 (-.f64 x lo) (-.f64 hi lo))	lo	-inf
2.0ms	(/.f64 (-.f64 x lo) (-.f64 hi lo))	hi	-inf
2.0ms	(/.f64 (-.f64 x lo) (-.f64 hi lo))	hi	0
2.0ms	(/.f64 (-.f64 x lo) (-.f64 hi lo))	hi	inf
2.0ms	(/.f64 (-.f64 x lo) (-.f64 hi lo))	x	-inf

rewrite112.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

952×	`prod-diff_binary64`
233×	`egg-rr`
166×	`expm1-udef_binary64`
166×	`log1p-udef_binary64`
93×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	167	10
2	2683	10

Stop Event

1×	node limit

Counts

1 → 233

simplify57.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

722×	`sub-neg_binary64`
402×	`associate--l+_binary64`
330×	`fma-def_binary64`
327×	`associate--r+_binary64`
299×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	78	1093
1	236	1075
2	863	919
3	4691	913

Stop Event

1×	node limit

Counts

269 → 265

prune147.0ms (4.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	261	4	265
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	262	4	266

Error

51.3b

Counts

266 → 4

Alt Table

Status	Error	Program
	57.9b	(+.f64 (+.f64 (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)) (-.f64 (pow.f64 (/.f64 hi lo) 3) (.f64 (/.f64 x lo) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))))) (-.f64 1 (/.f64 x lo)))
	52.0b	(+.f64 (/.f64 hi lo) (+.f64 1 (-.f64 (*.f64 (/.f64 hi lo) (-.f64 (/.f64 hi lo) (/.f64 x lo))) (/.f64 x lo))))
▶	51.9b	(+.f64 (.f64 (/.f64 x hi) (.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi))) (-.f64 (/.f64 (-.f64 x lo) hi) (fma.f64 (/.f64 lo hi) (/.f64 lo hi) (pow.f64 (/.f64 lo hi) 3))))
	52.0b	(-.f64 (+.f64 (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)) (-.f64 1 (.f64 (/.f64 x lo) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))))) (/.f64 x lo))

Compiler

Compiled 12683 to 3428 computations (73% saved)

localize19.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(*.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi))
✓	0.8b	(pow.f64 (/.f64 lo hi) 3)
✓	1.6b	(+.f64 (/.f64 lo hi) 1)
✓	2.3b	(fma.f64 (/.f64 lo hi) (/.f64 lo hi) (pow.f64 (/.f64 lo hi) 3))

series48.0ms (1.4%)

Counts

4 → 96

Calls

24 calls:

4.0ms	(pow.f64 (/.f64 lo hi) 3)	lo	0
4.0ms	(fma.f64 (/.f64 lo hi) (/.f64 lo hi) (pow.f64 (/.f64 lo hi) 3))	lo	-inf
3.0ms	(fma.f64 (/.f64 lo hi) (/.f64 lo hi) (pow.f64 (/.f64 lo hi) 3))	lo	inf
3.0ms	(fma.f64 (/.f64 lo hi) (/.f64 lo hi) (pow.f64 (/.f64 lo hi) 3))	lo	0
3.0ms	(*.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi))	lo	-inf

rewrite67.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

430×	`prod-diff_binary64`
255×	`fma-def_binary64`
178×	`log1p-udef_binary64`
177×	`expm1-udef_binary64`
157×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	44
1	220	43
2	2809	43

Stop Event

1×	node limit

Counts

4 → 194

simplify61.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1251×	`fma-def_binary64`
495×	`unswap-sqr_binary64`
349×	`times-frac_binary64`
221×	`associate-/l*_binary64`
220×	`*-commutative_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	16	1167
1	39	1167
2	86	942
3	311	942
4	1943	906
5	3474	906
6	4419	906

Stop Event

1×	node limit

Counts

290 → 204

prune164.0ms (4.7%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	190	14	204
Fresh	0	3	3
Picked	1	0	1
Done	0	0	0
Total	191	17	208

Error

51.2b

Counts

208 → 17

Alt Table

Status	Error	Program
	52.0b	(+.f64 (/.f64 hi lo) (+.f64 1 (-.f64 (*.f64 (/.f64 hi lo) (-.f64 (/.f64 hi lo) (/.f64 x lo))) (/.f64 x lo))))
▶	51.4b	(+.f64 (.f64 (/.f64 x hi) (.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi))) (-.f64 (/.f64 (-.f64 x lo) hi) (sqrt.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 lo hi) 3) (pow.f64 (/.f64 lo hi) 2)) 2))))
	51.9b	(+.f64 (.f64 (/.f64 x hi) (.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi))) (-.f64 (/.f64 (-.f64 x lo) hi) (fma.f64 (/.f64 lo hi) (/.f64 lo hi) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 lo hi)) 2) 3) (/.f64 lo hi)))))
	51.9b	(+.f64 (.f64 (/.f64 x hi) (.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi))) (-.f64 (/.f64 (-.f64 x lo) hi) (*.f64 (/.f64 lo hi) (+.f64 (/.f64 lo hi) (pow.f64 (/.f64 lo hi) 2)))))
	51.9b	(+.f64 (.f64 (/.f64 x hi) (.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi))) (-.f64 (/.f64 (-.f64 x lo) hi) (fma.f64 (/.f64 lo hi) (/.f64 lo hi) (cbrt.f64 (pow.f64 (pow.f64 (/.f64 lo hi) 3) 3)))))
	51.9b	(+.f64 (.f64 (/.f64 x hi) (.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi))) (-.f64 (/.f64 (-.f64 x lo) hi) (log.f64 (*.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 lo hi) 3))) (exp.f64 (pow.f64 (/.f64 lo hi) 2))))))
	52.0b	(-.f64 (+.f64 (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)) (-.f64 1 (.f64 (/.f64 x lo) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))))) (/.f64 x lo))
	51.9b	(+.f64 (.f64 (/.f64 x hi) (.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi))) (-.f64 (/.f64 (-.f64 x lo) hi) (fma.f64 (/.f64 lo hi) (/.f64 lo hi) (log.f64 (exp.f64 (pow.f64 (/.f64 lo hi) 3))))))
	51.9b	(+.f64 (.f64 (/.f64 x hi) (.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi))) (-.f64 (/.f64 (-.f64 x lo) hi) (log.f64 (+.f64 1 (expm1.f64 (+.f64 (pow.f64 (/.f64 lo hi) 3) (pow.f64 (/.f64 lo hi) 2)))))))
	57.9b	(+.f64 (+.f64 (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)) (-.f64 (pow.f64 (/.f64 hi lo) 3) (.f64 (/.f64 x lo) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))))) (-.f64 1 (/.f64 x lo)))
	51.9b	(+.f64 (.f64 (/.f64 x hi) (.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi))) (-.f64 (/.f64 (-.f64 x lo) hi) (fma.f64 (/.f64 lo hi) (/.f64 lo hi) (/.f64 1 (pow.f64 (/.f64 hi lo) 3)))))
	55.5b	(+.f64 (.f64 (/.f64 x hi) (.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi))) (-.f64 (/.f64 (-.f64 x lo) hi) (fma.f64 (/.f64 lo hi) (/.f64 lo hi) (.f64 (.f64 (pow.f64 (/.f64 lo hi) 2) lo) (/.f64 1 hi)))))
	51.9b	(+.f64 (.f64 (/.f64 x hi) (.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi))) (-.f64 (/.f64 (-.f64 x lo) hi) (fma.f64 (/.f64 lo hi) (/.f64 lo hi) (.f64 lo (.f64 (/.f64 1 hi) (pow.f64 (/.f64 lo hi) 2))))))
	51.9b	(+.f64 (.f64 (/.f64 x hi) (.f64 (/.f64 lo hi) (/.f64 lo hi))) (-.f64 (/.f64 (-.f64 x lo) hi) (fma.f64 (/.f64 lo hi) (/.f64 lo hi) (pow.f64 (/.f64 lo hi) 3))))
	51.9b	(+.f64 (.f64 (/.f64 x hi) (.f64 1 (/.f64 lo hi))) (-.f64 (/.f64 (-.f64 x lo) hi) (fma.f64 (/.f64 lo hi) (/.f64 lo hi) (pow.f64 (/.f64 lo hi) 3))))
	51.9b	(+.f64 (.f64 (/.f64 x hi) (.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi))) (-.f64 (/.f64 (-.f64 x lo) hi) (fma.f64 (/.f64 lo hi) (/.f64 lo hi) (fma.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 lo hi) 3) 1)) (cbrt.f64 (+.f64 (pow.f64 (/.f64 lo hi) 3) 1))) (cbrt.f64 (+.f64 (pow.f64 (/.f64 lo hi) 3) 1)) -1))))
	51.9b	(+.f64 (.f64 (/.f64 x hi) (.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi))) (-.f64 (/.f64 (-.f64 x lo) hi) (fma.f64 (/.f64 lo hi) (/.f64 lo hi) (log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 lo hi) 3)))))))

Compiler

Compiled 8874 to 3237 computations (63.5% saved)

localize16.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(pow.f64 (/.f64 lo hi) 2)
	0.8b	(pow.f64 (/.f64 lo hi) 3)
	1.6b	(+.f64 (/.f64 lo hi) 1)
✓	1.7b	(+.f64 (pow.f64 (/.f64 lo hi) 3) (pow.f64 (/.f64 lo hi) 2))

series53.0ms (1.5%)

Counts

2 → 48

Calls

12 calls:

15.0ms	(pow.f64 (/.f64 lo hi) 2)	lo	-inf
8.0ms	(+.f64 (pow.f64 (/.f64 lo hi) 3) (pow.f64 (/.f64 lo hi) 2))	lo	inf
7.0ms	(+.f64 (pow.f64 (/.f64 lo hi) 3) (pow.f64 (/.f64 lo hi) 2))	lo	-inf
7.0ms	(+.f64 (pow.f64 (/.f64 lo hi) 3) (pow.f64 (/.f64 lo hi) 2))	lo	0
3.0ms	(+.f64 (pow.f64 (/.f64 lo hi) 3) (pow.f64 (/.f64 lo hi) 2))	hi	0

rewrite46.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

430×	`log-prod_binary64`
309×	`fma-def_binary64`
169×	`fma-neg_binary64`
162×	`pow1/3_binary64`
162×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	209	23
2	2678	23

Stop Event

1×	node limit

Counts

2 → 109

simplify49.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1227×	`fma-def_binary64`
495×	`unswap-sqr_binary64`
349×	`times-frac_binary64`
223×	`*-commutative_binary64`
221×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	696
1	32	696
2	82	597
3	310	597
4	1933	597
5	3463	597
6	4346	597

Stop Event

1×	node limit

Counts

157 → 114

prune179.0ms (5.2%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	191	15	206
Fresh	11	5	16
Picked	1	0	1
Done	0	0	0
Total	203	20	223

Error

51.0b

Counts

223 → 20

Alt Table

Status	Error	Program
	51.4b	(+.f64 (.f64 (/.f64 x hi) (.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi))) (-.f64 (/.f64 (-.f64 x lo) hi) (sqrt.f64 (pow.f64 (fma.f64 (*.f64 (/.f64 lo hi) (pow.f64 (cbrt.f64 (/.f64 lo hi)) 2)) (cbrt.f64 (/.f64 lo hi)) (pow.f64 (/.f64 lo hi) 3)) 2))))
	57.9b	(+.f64 (+.f64 (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)) (-.f64 (pow.f64 (/.f64 hi lo) 3) (.f64 (/.f64 x lo) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))))) (-.f64 1 (/.f64 x lo)))
	54.7b	(+.f64 (.f64 (/.f64 x hi) (.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi))) (-.f64 (/.f64 (-.f64 x lo) hi) (sqrt.f64 (pow.f64 (fma.f64 (*.f64 (/.f64 lo hi) lo) (/.f64 1 hi) (pow.f64 (/.f64 lo hi) 3)) 2))))
	52.0b	(+.f64 (/.f64 hi lo) (+.f64 1 (-.f64 (*.f64 (/.f64 hi lo) (-.f64 (/.f64 hi lo) (/.f64 x lo))) (/.f64 x lo))))
	51.4b	(+.f64 (.f64 (/.f64 x hi) (.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi))) (-.f64 (/.f64 (-.f64 x lo) hi) (sqrt.f64 (pow.f64 (+.f64 (fma.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 lo hi) 3) 1)) (cbrt.f64 (+.f64 (pow.f64 (/.f64 lo hi) 3) 1))) (cbrt.f64 (+.f64 (pow.f64 (/.f64 lo hi) 3) 1)) -1) (pow.f64 (/.f64 lo hi) 2)) 2))))
	51.4b	(+.f64 (.f64 (/.f64 x hi) (.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi))) (-.f64 (/.f64 (-.f64 x lo) hi) (sqrt.f64 (pow.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 lo hi)) 2) (*.f64 (cbrt.f64 (/.f64 lo hi)) (/.f64 lo hi)) (pow.f64 (/.f64 lo hi) 3)) 2))))
	57.0b	(+.f64 (.f64 (/.f64 x hi) (.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi))) (-.f64 (/.f64 (-.f64 x lo) hi) (sqrt.f64 (pow.f64 (pow.f64 (/.f64 lo hi) 3) 2))))
	51.4b	(+.f64 (.f64 (/.f64 x hi) (.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi))) (-.f64 (/.f64 (-.f64 x lo) hi) (sqrt.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 lo hi) 3) (.f64 (pow.f64 (cbrt.f64 (/.f64 lo hi)) 2) (.f64 (cbrt.f64 (/.f64 lo hi)) (/.f64 lo hi)))) 2))))
	51.4b	(+.f64 (.f64 (/.f64 x hi) (.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi))) (-.f64 (/.f64 (-.f64 x lo) hi) (sqrt.f64 (pow.f64 (fma.f64 lo (*.f64 (/.f64 1 hi) (pow.f64 (/.f64 lo hi) 2)) (pow.f64 (/.f64 lo hi) 2)) 2))))
	51.9b	(+.f64 (.f64 (/.f64 x hi) (.f64 1 (/.f64 lo hi))) (-.f64 (/.f64 (-.f64 x lo) hi) (fma.f64 (/.f64 lo hi) (/.f64 lo hi) (pow.f64 (/.f64 lo hi) 3))))
	51.4b	(+.f64 (.f64 (/.f64 x hi) (.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi))) (-.f64 (/.f64 (-.f64 x lo) hi) (sqrt.f64 (pow.f64 (+.f64 (.f64 lo (.f64 (/.f64 1 hi) (pow.f64 (/.f64 lo hi) 2))) (pow.f64 (/.f64 lo hi) 2)) 2))))
	51.4b	(+.f64 (.f64 (/.f64 x hi) (.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi))) (-.f64 (/.f64 (-.f64 x lo) hi) (sqrt.f64 (pow.f64 (fma.f64 lo (*.f64 (/.f64 1 hi) (/.f64 lo hi)) (pow.f64 (/.f64 lo hi) 3)) 2))))
	51.4b	(+.f64 (.f64 (/.f64 x hi) (.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi))) (-.f64 (/.f64 (-.f64 x lo) hi) (sqrt.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 lo hi)) 2) 3) (/.f64 lo hi)) (pow.f64 (/.f64 lo hi) 2)) 2))))
	51.4b	(+.f64 (.f64 (/.f64 x hi) (.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi))) (-.f64 (/.f64 (-.f64 x lo) hi) (sqrt.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 lo hi) 3) (+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 lo hi) 2))) (cbrt.f64 (exp.f64 (pow.f64 (/.f64 lo hi) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 lo hi) 2)))))) 2))))
	51.4b	(+.f64 (.f64 (/.f64 x hi) (.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi))) (-.f64 (/.f64 (-.f64 x lo) hi) (sqrt.f64 (pow.f64 (+.f64 (/.f64 1 (pow.f64 (/.f64 hi lo) 3)) (pow.f64 (/.f64 lo hi) 2)) 2))))
	51.4b	(+.f64 (.f64 (/.f64 x hi) (.f64 (/.f64 lo hi) (/.f64 lo hi))) (-.f64 (/.f64 (-.f64 x lo) hi) (sqrt.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 lo hi) 3) (pow.f64 (/.f64 lo hi) 2)) 2))))
	55.5b	(+.f64 (.f64 (/.f64 x hi) (.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi))) (-.f64 (/.f64 (-.f64 x lo) hi) (fma.f64 (/.f64 lo hi) (/.f64 lo hi) (.f64 (.f64 (pow.f64 (/.f64 lo hi) 2) lo) (/.f64 1 hi)))))
▶	51.3b	(+.f64 (.f64 (/.f64 x hi) (.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi))) (-.f64 (/.f64 (-.f64 x lo) hi) (sqrt.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 lo hi) 3) (/.f64 lo (*.f64 (/.f64 hi lo) hi))) 2))))
	51.4b	(+.f64 (.f64 (/.f64 x hi) (.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi))) (-.f64 (/.f64 (-.f64 x lo) hi) (sqrt.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 lo hi) 3) (.f64 lo (.f64 (/.f64 1 hi) (/.f64 lo hi)))) 2))))
	52.0b	(-.f64 (+.f64 (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)) (-.f64 1 (.f64 (/.f64 x lo) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))))) (/.f64 x lo))

Compiler

Compiled 9813 to 4445 computations (54.7% saved)

localize19.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.8b	(pow.f64 (/.f64 lo hi) 3)
	1.6b	(+.f64 (/.f64 lo hi) 1)
✓	1.7b	(+.f64 (pow.f64 (/.f64 lo hi) 3) (/.f64 lo (*.f64 (/.f64 hi lo) hi)))
✓	18.6b	(/.f64 lo (*.f64 (/.f64 hi lo) hi))

series54.0ms (1.6%)

Counts

2 → 48

Calls

12 calls:

8.0ms	(+.f64 (pow.f64 (/.f64 lo hi) 3) (/.f64 lo (*.f64 (/.f64 hi lo) hi)))	lo	-inf
7.0ms	(/.f64 lo (*.f64 (/.f64 hi lo) hi))	lo	inf
7.0ms	(+.f64 (pow.f64 (/.f64 lo hi) 3) (/.f64 lo (*.f64 (/.f64 hi lo) hi)))	lo	inf
7.0ms	(+.f64 (pow.f64 (/.f64 lo hi) 3) (/.f64 lo (*.f64 (/.f64 hi lo) hi)))	lo	0
6.0ms	(/.f64 lo (*.f64 (/.f64 hi lo) hi))	lo	-inf

rewrite63.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

331×	`fma-def_binary64`
231×	`log-div_binary64`
192×	`expm1-udef_binary64`
192×	`log1p-udef_binary64`
181×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	29
1	236	23
2	3516	23

Stop Event

1×	node limit

Counts

2 → 132

simplify50.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1227×	`fma-def_binary64`
495×	`unswap-sqr_binary64`
349×	`times-frac_binary64`
223×	`*-commutative_binary64`
221×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	696
1	32	696
2	82	597
3	310	597
4	1933	597
5	3463	597
6	4346	597

Stop Event

1×	node limit

Counts

180 → 137

prune186.0ms (5.3%)

Pruning

25 alts after pruning (25 fresh and 0 done)

	Pruned	Kept	Total
New	213	16	229
Fresh	10	9	19
Picked	1	0	1
Done	0	0	0
Total	224	25	249

Error

51.0b

Counts

249 → 25

Alt Table

Status	Error	Program
	51.3b	(+.f64 (.f64 (/.f64 x hi) (.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi))) (-.f64 (/.f64 (-.f64 x lo) hi) (sqrt.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 lo hi) 3) (.f64 (/.f64 (pow.f64 (cbrt.f64 lo) 2) (pow.f64 (cbrt.f64 (.f64 hi (/.f64 hi lo))) 2)) (pow.f64 (cbrt.f64 (/.f64 lo hi)) 2))) 2))))
	57.9b	(+.f64 (+.f64 (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)) (-.f64 (pow.f64 (/.f64 hi lo) 3) (.f64 (/.f64 x lo) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))))) (-.f64 1 (/.f64 x lo)))
	51.4b	(+.f64 (.f64 (/.f64 x hi) (.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi))) (-.f64 (/.f64 (-.f64 x lo) hi) (sqrt.f64 (pow.f64 (+.f64 (fma.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 lo hi) 3) 1)) (cbrt.f64 (+.f64 (pow.f64 (/.f64 lo hi) 3) 1))) (cbrt.f64 (+.f64 (pow.f64 (/.f64 lo hi) 3) 1)) -1) (pow.f64 (/.f64 lo hi) 2)) 2))))
	51.3b	(+.f64 (.f64 (/.f64 x hi) (.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi))) (-.f64 (/.f64 (-.f64 x lo) hi) (sqrt.f64 (pow.f64 (+.f64 (.f64 lo (.f64 (/.f64 1 hi) (pow.f64 (/.f64 lo hi) 2))) (/.f64 lo (*.f64 (/.f64 hi lo) hi))) 2))))
	51.3b	(+.f64 (.f64 (/.f64 x hi) (.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi))) (-.f64 (/.f64 (-.f64 x lo) hi) (sqrt.f64 (pow.f64 (+.f64 (fma.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 lo hi) 3) 1)) (cbrt.f64 (+.f64 (pow.f64 (/.f64 lo hi) 3) 1))) (cbrt.f64 (+.f64 (pow.f64 (/.f64 lo hi) 3) 1)) -1) (/.f64 lo (.f64 (/.f64 hi lo) hi))) 2))))
	51.3b	(+.f64 (.f64 (/.f64 x hi) (.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi))) (-.f64 (/.f64 (-.f64 x lo) hi) (sqrt.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 lo hi) 3) (.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 hi (/.f64 hi lo))) 2)) (/.f64 lo (cbrt.f64 (*.f64 hi (/.f64 hi lo)))))) 2))))
	52.0b	(+.f64 (/.f64 hi lo) (+.f64 1 (-.f64 (*.f64 (/.f64 hi lo) (-.f64 (/.f64 hi lo) (/.f64 x lo))) (/.f64 x lo))))
	51.3b	(+.f64 (.f64 (/.f64 x hi) (.f64 (/.f64 lo hi) (/.f64 lo hi))) (-.f64 (/.f64 (-.f64 x lo) hi) (sqrt.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 lo hi) 3) (/.f64 lo (*.f64 (/.f64 hi lo) hi))) 2))))
	51.3b	(+.f64 (.f64 (/.f64 x hi) (.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi))) (-.f64 (/.f64 (-.f64 x lo) hi) (sqrt.f64 (pow.f64 (+.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 lo hi)) 2) 3) (/.f64 lo hi)) (/.f64 lo (.f64 (/.f64 hi lo) hi))) 2))))
	51.3b	(+.f64 (.f64 (/.f64 x hi) (.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi))) (-.f64 (/.f64 (-.f64 x lo) hi) (sqrt.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 lo hi) 3) (.f64 (/.f64 (pow.f64 (cbrt.f64 lo) 2) 1) (/.f64 (cbrt.f64 lo) (.f64 hi (/.f64 hi lo))))) 2))))
	55.3b	(+.f64 (.f64 (/.f64 x hi) (.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi))) (-.f64 (/.f64 (-.f64 x lo) hi) (sqrt.f64 (pow.f64 (+.f64 (.f64 (.f64 (pow.f64 (/.f64 lo hi) 2) lo) (/.f64 1 hi)) (/.f64 lo (*.f64 (/.f64 hi lo) hi))) 2))))
	51.9b	(+.f64 (.f64 (/.f64 x hi) (.f64 1 (/.f64 lo hi))) (-.f64 (/.f64 (-.f64 x lo) hi) (fma.f64 (/.f64 lo hi) (/.f64 lo hi) (pow.f64 (/.f64 lo hi) 3))))
	51.4b	(+.f64 (.f64 (/.f64 x hi) (.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi))) (-.f64 (/.f64 (-.f64 x lo) hi) (sqrt.f64 (pow.f64 (+.f64 (.f64 lo (.f64 (/.f64 1 hi) (pow.f64 (/.f64 lo hi) 2))) (pow.f64 (/.f64 lo hi) 2)) 2))))
	51.4b	(+.f64 (.f64 (/.f64 x hi) (.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi))) (-.f64 (/.f64 (-.f64 x lo) hi) (sqrt.f64 (pow.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 lo hi)) 2) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 lo hi)) 2) 2) (pow.f64 (/.f64 lo hi) 3)) 2))))
	51.4b	(+.f64 (.f64 (/.f64 x hi) (.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi))) (-.f64 (/.f64 (-.f64 x lo) hi) (sqrt.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 lo hi)) 2) 3) (/.f64 lo hi)) (pow.f64 (/.f64 lo hi) 2)) 2))))
	51.4b	(+.f64 (.f64 (/.f64 x hi) (.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi))) (-.f64 (/.f64 (-.f64 x lo) hi) (sqrt.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 lo hi) 3) (+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 lo hi) 2))) (cbrt.f64 (exp.f64 (pow.f64 (/.f64 lo hi) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 lo hi) 2)))))) 2))))
	51.3b	(+.f64 (.f64 (/.f64 x hi) (.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi))) (-.f64 (/.f64 (-.f64 x lo) hi) (sqrt.f64 (pow.f64 (+.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 lo hi) 3) 3)) (/.f64 lo (*.f64 (/.f64 hi lo) hi))) 2))))
	51.4b	(+.f64 (.f64 (/.f64 x hi) (.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi))) (-.f64 (/.f64 (-.f64 x lo) hi) (sqrt.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 lo hi) 3) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 lo hi)) 2) 3)) 2))))
	52.0b	(-.f64 (+.f64 (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)) (-.f64 1 (.f64 (/.f64 x lo) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))))) (/.f64 x lo))
	57.0b	(+.f64 (.f64 (/.f64 x hi) (.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi))) (-.f64 (/.f64 (-.f64 x lo) hi) (sqrt.f64 (pow.f64 (pow.f64 (/.f64 lo hi) 3) 2))))
	51.3b	(+.f64 (.f64 (/.f64 x hi) (.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi))) (-.f64 (/.f64 (-.f64 x lo) hi) (sqrt.f64 (pow.f64 (+.f64 (/.f64 1 (pow.f64 (/.f64 hi lo) 3)) (/.f64 lo (*.f64 (/.f64 hi lo) hi))) 2))))
	51.4b	(+.f64 (.f64 (/.f64 x hi) (.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi))) (-.f64 (/.f64 (-.f64 x lo) hi) (sqrt.f64 (pow.f64 (fma.f64 (/.f64 (pow.f64 (cbrt.f64 lo) 2) (/.f64 hi lo)) (/.f64 (cbrt.f64 lo) hi) (pow.f64 (/.f64 lo hi) 3)) 2))))
	51.4b	(+.f64 (.f64 (/.f64 x hi) (.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi))) (-.f64 (/.f64 (-.f64 x lo) hi) (sqrt.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 lo hi) 3) (*.f64 lo (/.f64 (/.f64 lo hi) hi))) 2))))
	51.4b	(+.f64 (.f64 (/.f64 x hi) (.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi))) (-.f64 (/.f64 (-.f64 x lo) hi) (sqrt.f64 (pow.f64 (fma.f64 (/.f64 (pow.f64 (cbrt.f64 lo) 2) hi) (/.f64 (cbrt.f64 lo) (/.f64 hi lo)) (pow.f64 (/.f64 lo hi) 3)) 2))))
	51.4b	(+.f64 (.f64 (/.f64 x hi) (.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi))) (-.f64 (/.f64 (-.f64 x lo) hi) (sqrt.f64 (pow.f64 (fma.f64 (pow.f64 (cbrt.f64 lo) 2) (*.f64 (cbrt.f64 lo) (/.f64 (/.f64 lo hi) hi)) (pow.f64 (/.f64 lo hi) 3)) 2))))

Compiler

Compiled 10532 to 4389 computations (58.3% saved)

regimes708.0ms (20.4%)

Accuracy

Total 0.5b remaining (0.9%)

Threshold costs 0.5b (0.9%)

Counts

144 → 1

Compiler

Compiled 23274 to 13012 computations (44.1% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`+-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	21	51
1	29	51
2	37	51
3	41	51
4	43	51

Stop Event

1×

saturated

end482.0ms (13.9%)

Stop Event

1×

fuel

Compiler

Compiled 1157 to 659 computations (43% saved)

Details

analyze2.0ms (0.1%)

sample768.0ms (22.1%)

preprocess34.0ms (1%)

simplify58.0ms (1.7%)

prune2.0ms (0.1%)

localize5.0ms (0.1%)

series22.0ms (0.6%)

rewrite112.0ms (3.2%)

simplify57.0ms (1.6%)

prune147.0ms (4.2%)

localize19.0ms (0.5%)

series48.0ms (1.4%)

rewrite67.0ms (1.9%)

simplify61.0ms (1.8%)

prune164.0ms (4.7%)

localize16.0ms (0.5%)

series53.0ms (1.5%)

rewrite46.0ms (1.3%)

simplify49.0ms (1.4%)

prune179.0ms (5.2%)

localize19.0ms (0.5%)

series54.0ms (1.6%)

rewrite63.0ms (1.8%)

simplify50.0ms (1.4%)

prune186.0ms (5.3%)

regimes708.0ms (20.4%)

simplify3.0ms (0.1%)

end482.0ms (13.9%)

Profiling