Details

analyze2.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 17 to 11 computations (35.3% saved)

sample188.0ms (2.8%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
6.0ms	256×	pre	128	true

Compiler

Compiled 30 to 20 computations (33.3% saved)

simplify76.0ms (1.1%)

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`

Counts

1 → 1

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

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))

series20.0ms (0.3%)

Counts

1 → 36

Calls

1 calls:

20.0ms

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

rewrite10.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

37×	`*-un-lft-identity_binary64`
37×	`add-sqr-sqrt_binary64`
25×	`times-frac_binary64`
13×	`add-cube-cbrt_binary64`
12×	`distribute-lft-out--_binary64`

Counts

1 → 54

Calls

1 calls:

6.0ms

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

simplify76.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

810×	`fma-neg_binary64`
418×	`fma-def_binary64`
402×	`associate--l+_binary64`
279×	`cancel-sign-sub-inv_binary64`
264×	`times-frac_binary64`

Counts

90 → 84

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	162	2093
1	436	2033
2	1358	1879
3	4643	1879
4	5346	1879

prune41.0ms (0.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	80	4	84
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	81	4	85

Error

51.3b

Counts

85 → 4

Alt Table

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

Compiler

Compiled 1901 to 683 computations (64.1% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series43.0ms (0.7%)

Counts

4 → 96

Calls

4 calls:

17.0ms	(pow.f64 (/.f64 lo hi) 3)
17.0ms	(*.f64 (/.f64 lo hi) (-.f64 -1 (/.f64 lo hi)))
5.0ms	(-.f64 -1 (/.f64 lo hi))
4.0ms	(+.f64 (/.f64 lo hi) 1)

rewrite57.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

173×	`add-sqr-sqrt_binary64`
164×	`*-un-lft-identity_binary64`
158×	`add-cube-cbrt_binary64`
147×	`times-frac_binary64`
117×	`prod-diff_binary64`

Counts

4 → 293

Calls

4 calls:

14.0ms	(*.f64 (/.f64 lo hi) (-.f64 -1 (/.f64 lo hi)))
7.0ms	(-.f64 -1 (/.f64 lo hi))
5.0ms	(+.f64 (/.f64 lo hi) 1)
3.0ms	(pow.f64 (/.f64 lo hi) 3)

simplify177.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

621×	`fma-neg_binary64`
480×	`associate-l_binary64`
444×	`associate-r_binary64`
380×	`log-prod_binary64`
293×	`*-commutative_binary64`

Counts

389 → 340

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	410	7239
1	1125	5197
2	3283	4476
3	4278	4476
4	4846	4476

prune262.0ms (3.9%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	330	10	340
Fresh	0	3	3
Picked	1	0	1
Done	0	0	0
Total	331	13	344

Error

50.7b

Counts

344 → 13

Alt Table

Status	Error	Program
	52.1b	(+.f64 (/.f64 x hi) (-.f64 (fma.f64 (/.f64 x hi) (.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi)) (/.f64 (.f64 lo (-.f64 1 (pow.f64 (/.f64 lo hi) 2))) (*.f64 hi (+.f64 -1 (/.f64 lo hi))))) (pow.f64 (/.f64 lo hi) 3)))
	51.9b	(+.f64 (/.f64 x hi) (-.f64 (fma.f64 (/.f64 x hi) (.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi)) (.f64 (/.f64 lo hi) (-.f64 -1 (/.f64 lo hi)))) (.f64 (pow.f64 (.f64 (cbrt.f64 (/.f64 lo hi)) (cbrt.f64 (/.f64 lo hi))) 3) (pow.f64 (cbrt.f64 (/.f64 lo hi)) 3))))
	51.9b	(+.f64 (/.f64 x hi) (-.f64 (fma.f64 (/.f64 x hi) (.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi)) (.f64 (.f64 (cbrt.f64 (.f64 (/.f64 lo hi) (-.f64 -1 (/.f64 lo hi)))) (cbrt.f64 (.f64 (/.f64 lo hi) (-.f64 -1 (/.f64 lo hi))))) (cbrt.f64 (.f64 (/.f64 lo hi) (-.f64 -1 (/.f64 lo hi)))))) (pow.f64 (/.f64 lo hi) 3)))
	51.9b	(+.f64 (/.f64 x hi) (-.f64 (fma.f64 (/.f64 x hi) (.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi)) (.f64 (/.f64 lo hi) (+.f64 (fma.f64 1 -1 (neg.f64 (.f64 (/.f64 lo (cbrt.f64 hi)) (/.f64 1 (.f64 (cbrt.f64 hi) (cbrt.f64 hi)))))) (fma.f64 (neg.f64 (/.f64 lo (cbrt.f64 hi))) (/.f64 1 (.f64 (cbrt.f64 hi) (cbrt.f64 hi))) (.f64 (/.f64 lo (cbrt.f64 hi)) (/.f64 1 (*.f64 (cbrt.f64 hi) (cbrt.f64 hi)))))))) (pow.f64 (/.f64 lo hi) 3)))
	51.9b	(+.f64 (/.f64 x hi) (-.f64 (fma.f64 (/.f64 x hi) (.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi)) (.f64 (/.f64 lo hi) (.f64 (.f64 (cbrt.f64 (-.f64 -1 (/.f64 lo hi))) (cbrt.f64 (-.f64 -1 (/.f64 lo hi)))) (cbrt.f64 (-.f64 -1 (/.f64 lo hi)))))) (pow.f64 (/.f64 lo hi) 3)))
	52.0b	(-.f64 (+.f64 1 (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))) (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	58.1b	(+.f64 (/.f64 x hi) (-.f64 (fma.f64 (/.f64 x hi) (*.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi)) (neg.f64 (pow.f64 (/.f64 lo hi) 2))) (pow.f64 (/.f64 lo hi) 3)))
	51.9b	(+.f64 (/.f64 x hi) (-.f64 (fma.f64 (/.f64 x hi) (.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi)) (.f64 lo (*.f64 (/.f64 1 hi) (-.f64 -1 (/.f64 lo hi))))) (pow.f64 (/.f64 lo hi) 3)))
	51.9b	(+.f64 (/.f64 x hi) (-.f64 (fma.f64 (/.f64 x hi) (.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi)) (.f64 (/.f64 lo hi) (+.f64 -1 (.f64 (neg.f64 (/.f64 (.f64 (cbrt.f64 lo) (cbrt.f64 lo)) (*.f64 (cbrt.f64 hi) (cbrt.f64 hi)))) (/.f64 (cbrt.f64 lo) (cbrt.f64 hi)))))) (pow.f64 (/.f64 lo hi) 3)))
	52.0b	(-.f64 (+.f64 1 (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))) (+.f64 (/.f64 x lo) (.f64 (/.f64 x lo) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)))))
	58.0b	(-.f64 (+.f64 1 (+.f64 (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)) (pow.f64 (/.f64 hi lo) 3))) (+.f64 (/.f64 x lo) (.f64 (/.f64 x lo) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)))))
	51.9b	(+.f64 (/.f64 x hi) (-.f64 (fma.f64 (/.f64 x hi) (.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi)) (.f64 (/.f64 lo hi) (-.f64 -1 (/.f64 lo hi)))) (.f64 (pow.f64 (/.f64 (.f64 (cbrt.f64 lo) (cbrt.f64 lo)) (sqrt.f64 hi)) 3) (pow.f64 (/.f64 (cbrt.f64 lo) (sqrt.f64 hi)) 3))))
▶	51.9b	(+.f64 (/.f64 x hi) (-.f64 (fma.f64 (/.f64 x hi) (.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi)) (.f64 (/.f64 lo hi) (-.f64 -1 (/.f64 lo hi)))) (.f64 (pow.f64 (/.f64 (.f64 (cbrt.f64 lo) (cbrt.f64 lo)) (*.f64 (cbrt.f64 hi) (cbrt.f64 hi))) 3) (pow.f64 (/.f64 (cbrt.f64 lo) (cbrt.f64 hi)) 3))))

Compiler

Compiled 18163 to 6260 computations (65.5% saved)

localize23.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.7b	(pow.f64 (/.f64 (cbrt.f64 lo) (cbrt.f64 hi)) 3)
✓	0.7b	(pow.f64 (/.f64 (.f64 (cbrt.f64 lo) (cbrt.f64 lo)) (.f64 (cbrt.f64 hi) (cbrt.f64 hi))) 3)
	1.6b	(+.f64 (/.f64 lo hi) 1)
	1.6b	(-.f64 -1 (/.f64 lo hi))

series1.2s (18%)

Counts

2 → 48

Calls

2 calls:

744.0ms	(pow.f64 (/.f64 (.f64 (cbrt.f64 lo) (cbrt.f64 lo)) (.f64 (cbrt.f64 hi) (cbrt.f64 hi))) 3)
454.0ms	(pow.f64 (/.f64 (cbrt.f64 lo) (cbrt.f64 hi)) 3)

rewrite25.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

74×	`times-frac_binary64`
72×	`cbrt-prod_binary64`
56×	`*-un-lft-identity_binary64`
56×	`add-sqr-sqrt_binary64`
56×	`add-cube-cbrt_binary64`

Counts

2 → 140

Calls

2 calls:

8.0ms	(pow.f64 (/.f64 (.f64 (cbrt.f64 lo) (cbrt.f64 lo)) (.f64 (cbrt.f64 hi) (cbrt.f64 hi))) 3)
6.0ms	(pow.f64 (/.f64 (cbrt.f64 lo) (cbrt.f64 hi)) 3)

simplify128.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

542×	`fma-def_binary64`
364×	`fma-neg_binary64`
326×	`log-div_binary64`
276×	`sqr-pow_binary64`
255×	`log-prod_binary64`

Counts

188 → 151

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	253	3864
1	748	2980
2	2297	2283
3	4133	2283
4	4935	2283
5	5069	2283

prune195.0ms (2.9%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	268	4	272
Fresh	5	7	12
Picked	1	0	1
Done	0	0	0
Total	274	11	285

Error

50.7b

Counts

285 → 11

Alt Table

Status	Error	Program
	52.1b	(+.f64 (/.f64 x hi) (-.f64 (fma.f64 (/.f64 x hi) (.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi)) (/.f64 (.f64 lo (-.f64 1 (pow.f64 (/.f64 lo hi) 2))) (*.f64 hi (+.f64 -1 (/.f64 lo hi))))) (pow.f64 (/.f64 lo hi) 3)))
▶	51.9b	(+.f64 (/.f64 x hi) (-.f64 (fma.f64 (/.f64 x hi) (.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi)) (.f64 (/.f64 lo hi) (-.f64 -1 (/.f64 lo hi)))) (*.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 (neg.f64 (log.f64 hi)) (log.f64 (/.f64 -1 lo)))) 2/3) 3) (pow.f64 (/.f64 (cbrt.f64 lo) (cbrt.f64 hi)) 3))))
	58.1b	(+.f64 (/.f64 x hi) (-.f64 (fma.f64 (/.f64 x hi) (.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi)) (.f64 (/.f64 lo hi) (neg.f64 (/.f64 lo hi)))) (.f64 (pow.f64 (/.f64 (.f64 (cbrt.f64 lo) (cbrt.f64 lo)) (*.f64 (cbrt.f64 hi) (cbrt.f64 hi))) 3) (pow.f64 (/.f64 (cbrt.f64 lo) (cbrt.f64 hi)) 3))))
	52.0b	(-.f64 (+.f64 1 (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))) (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	51.9b	(+.f64 (/.f64 x hi) (-.f64 (fma.f64 (/.f64 x hi) (.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi)) (.f64 (/.f64 lo hi) (-.f64 -1 (/.f64 lo hi)))) (.f64 (pow.f64 (/.f64 (.f64 (cbrt.f64 lo) (cbrt.f64 lo)) (sqrt.f64 hi)) 3) (pow.f64 (/.f64 (cbrt.f64 lo) (sqrt.f64 hi)) 3))))
	51.9b	(+.f64 (/.f64 x hi) (-.f64 (fma.f64 (/.f64 x hi) (.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi)) (.f64 (/.f64 lo hi) (-.f64 -1 (/.f64 lo hi)))) (.f64 (exp.f64 (.f64 (-.f64 (log.f64 (.f64 (cbrt.f64 lo) (cbrt.f64 lo))) (log.f64 (.f64 (cbrt.f64 hi) (cbrt.f64 hi)))) 3)) (pow.f64 (/.f64 (cbrt.f64 lo) (cbrt.f64 hi)) 3))))
	58.1b	(+.f64 (/.f64 x hi) (-.f64 (fma.f64 (/.f64 x hi) (*.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi)) (neg.f64 (pow.f64 (/.f64 lo hi) 2))) (pow.f64 (/.f64 lo hi) 3)))
	51.9b	(+.f64 (/.f64 x hi) (-.f64 (fma.f64 (/.f64 x hi) (.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi)) (.f64 (/.f64 lo hi) (+.f64 -1 (.f64 (neg.f64 (/.f64 (.f64 (cbrt.f64 lo) (cbrt.f64 lo)) (*.f64 (cbrt.f64 hi) (cbrt.f64 hi)))) (/.f64 (cbrt.f64 lo) (cbrt.f64 hi)))))) (pow.f64 (/.f64 lo hi) 3)))
	52.0b	(-.f64 (+.f64 1 (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))) (+.f64 (/.f64 x lo) (.f64 (/.f64 x lo) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)))))
	58.0b	(-.f64 (+.f64 1 (+.f64 (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)) (pow.f64 (/.f64 hi lo) 3))) (+.f64 (/.f64 x lo) (.f64 (/.f64 x lo) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)))))
	51.9b	(+.f64 (/.f64 x hi) (-.f64 (fma.f64 (/.f64 x hi) (.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi)) (.f64 (/.f64 lo hi) (-.f64 -1 (/.f64 lo hi)))) (.f64 (.f64 (pow.f64 (.f64 (cbrt.f64 (/.f64 (.f64 (cbrt.f64 lo) (cbrt.f64 lo)) (.f64 (cbrt.f64 hi) (cbrt.f64 hi)))) (cbrt.f64 (/.f64 (.f64 (cbrt.f64 lo) (cbrt.f64 lo)) (.f64 (cbrt.f64 hi) (cbrt.f64 hi))))) 3) (pow.f64 (cbrt.f64 (/.f64 (.f64 (cbrt.f64 lo) (cbrt.f64 lo)) (*.f64 (cbrt.f64 hi) (cbrt.f64 hi)))) 3)) (pow.f64 (/.f64 (cbrt.f64 lo) (cbrt.f64 hi)) 3))))

Compiler

Compiled 16962 to 5605 computations (67% saved)

localize31.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.7b	(pow.f64 (pow.f64 (exp.f64 (-.f64 (neg.f64 (log.f64 hi)) (log.f64 (/.f64 -1 lo)))) 2/3) 3)
	1.6b	(+.f64 (/.f64 lo hi) 1)
	1.6b	(-.f64 -1 (/.f64 lo hi))
✓	10.2b	(-.f64 (neg.f64 (log.f64 hi)) (log.f64 (/.f64 -1 lo)))

series1.6s (23.6%)

Counts

2 → 48

Calls

2 calls:

1.2s	(pow.f64 (pow.f64 (exp.f64 (-.f64 (neg.f64 (log.f64 hi)) (log.f64 (/.f64 -1 lo)))) 2/3) 3)
403.0ms	(-.f64 (neg.f64 (log.f64 hi)) (log.f64 (/.f64 -1 lo)))

rewrite67.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

184×	`unpow-prod-down_binary64`
144×	`prod-diff_binary64`
114×	`exp-sum_binary64`
102×	`*-un-lft-identity_binary64`
97×	`add-sqr-sqrt_binary64`

Counts

2 → 252

Calls

2 calls:

22.0ms	(pow.f64 (pow.f64 (exp.f64 (-.f64 (neg.f64 (log.f64 hi)) (log.f64 (/.f64 -1 lo)))) 2/3) 3)
9.0ms	(-.f64 (neg.f64 (log.f64 hi)) (log.f64 (/.f64 -1 lo)))

simplify177.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

791×	`fma-neg_binary64`
515×	`fma-def_binary64`
362×	`distribute-rgt-in_binary64`
276×	`sqr-pow_binary64`
260×	`log-prod_binary64`

Counts

300 → 202

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	345	8669
1	723	6827
2	1871	3423
3	4127	3374
4	4833	3374

prune340.0ms (5.1%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	314	9	323
Fresh	3	7	10
Picked	1	0	1
Done	0	0	0
Total	318	16	334

Error

50.7b

Counts

334 → 16

Alt Table

Status	Error	Program
	52.1b	(+.f64 (/.f64 x hi) (-.f64 (fma.f64 (/.f64 x hi) (.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi)) (/.f64 (.f64 lo (-.f64 1 (pow.f64 (/.f64 lo hi) 2))) (*.f64 hi (+.f64 -1 (/.f64 lo hi))))) (pow.f64 (/.f64 lo hi) 3)))
	51.9b	(+.f64 (/.f64 x hi) (-.f64 (fma.f64 (/.f64 x hi) (.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi)) (.f64 (/.f64 lo hi) (-.f64 -1 (/.f64 lo hi)))) (.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 (fma.f64 (.f64 (cbrt.f64 (log.f64 hi)) (cbrt.f64 (log.f64 hi))) (neg.f64 (cbrt.f64 (log.f64 hi))) (neg.f64 (.f64 (cbrt.f64 (log.f64 (/.f64 -1 lo))) (.f64 (cbrt.f64 (log.f64 (/.f64 -1 lo))) (cbrt.f64 (log.f64 (/.f64 -1 lo)))))))) 2/3) 3) (pow.f64 (pow.f64 (exp.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (/.f64 -1 lo)))) (.f64 (cbrt.f64 (log.f64 (/.f64 -1 lo))) (cbrt.f64 (log.f64 (/.f64 -1 lo)))) (.f64 (cbrt.f64 (log.f64 (/.f64 -1 lo))) (.f64 (cbrt.f64 (log.f64 (/.f64 -1 lo))) (cbrt.f64 (log.f64 (/.f64 -1 lo))))))) 2/3) 3)) (pow.f64 (/.f64 (cbrt.f64 lo) (cbrt.f64 hi)) 3))))
	51.9b	(+.f64 (/.f64 x hi) (-.f64 (fma.f64 (/.f64 x hi) (.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi)) (.f64 (/.f64 lo hi) (-.f64 -1 (/.f64 lo hi)))) (.f64 (pow.f64 (pow.f64 (exp.f64 (+.f64 (fma.f64 (sqrt.f64 (log.f64 hi)) (neg.f64 (sqrt.f64 (log.f64 hi))) (neg.f64 (.f64 (cbrt.f64 (log.f64 (/.f64 -1 lo))) (.f64 (cbrt.f64 (log.f64 (/.f64 -1 lo))) (cbrt.f64 (log.f64 (/.f64 -1 lo))))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (/.f64 -1 lo)))) (.f64 (cbrt.f64 (log.f64 (/.f64 -1 lo))) (cbrt.f64 (log.f64 (/.f64 -1 lo)))) (.f64 (cbrt.f64 (log.f64 (/.f64 -1 lo))) (.f64 (cbrt.f64 (log.f64 (/.f64 -1 lo))) (cbrt.f64 (log.f64 (/.f64 -1 lo)))))))) 2/3) 3) (pow.f64 (/.f64 (cbrt.f64 lo) (cbrt.f64 hi)) 3))))
	52.0b	(-.f64 (+.f64 1 (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))) (+.f64 (/.f64 x lo) (.f64 (/.f64 x lo) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)))))
	51.9b	(+.f64 (/.f64 x hi) (-.f64 (fma.f64 (/.f64 x hi) (.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi)) (.f64 (/.f64 lo hi) (-.f64 -1 (/.f64 lo hi)))) (.f64 (pow.f64 (pow.f64 (exp.f64 (+.f64 (fma.f64 (.f64 (cbrt.f64 (log.f64 hi)) (cbrt.f64 (log.f64 hi))) (neg.f64 (cbrt.f64 (log.f64 hi))) (neg.f64 (.f64 (cbrt.f64 (log.f64 (/.f64 -1 lo))) (.f64 (cbrt.f64 (log.f64 (/.f64 -1 lo))) (cbrt.f64 (log.f64 (/.f64 -1 lo))))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (/.f64 -1 lo)))) (.f64 (cbrt.f64 (log.f64 (/.f64 -1 lo))) (cbrt.f64 (log.f64 (/.f64 -1 lo)))) (.f64 (cbrt.f64 (log.f64 (/.f64 -1 lo))) (*.f64 (cbrt.f64 (log.f64 (/.f64 -1 lo))) (cbrt.f64 (log.f64 (/.f64 -1 lo)))))))) 2/3) 3) (pow.f64 (/.f64 (cbrt.f64 lo) (cbrt.f64 hi)) 3))))
	52.0b	(-.f64 (+.f64 1 (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))) (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	58.1b	(+.f64 (/.f64 x hi) (-.f64 (fma.f64 (/.f64 x hi) (.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi)) (.f64 (/.f64 lo hi) (neg.f64 (/.f64 lo hi)))) (.f64 (pow.f64 (/.f64 (.f64 (cbrt.f64 lo) (cbrt.f64 lo)) (*.f64 (cbrt.f64 hi) (cbrt.f64 hi))) 3) (pow.f64 (/.f64 (cbrt.f64 lo) (cbrt.f64 hi)) 3))))
	58.1b	(+.f64 (/.f64 x hi) (-.f64 (fma.f64 (/.f64 x hi) (*.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi)) (neg.f64 (pow.f64 (/.f64 lo hi) 2))) (pow.f64 (/.f64 lo hi) 3)))
	51.9b	(+.f64 (/.f64 x hi) (-.f64 (fma.f64 (/.f64 x hi) (.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi)) (.f64 (/.f64 lo hi) (-.f64 -1 (/.f64 lo hi)))) (.f64 (pow.f64 (pow.f64 (exp.f64 (+.f64 (neg.f64 (log.f64 hi)) (.f64 (neg.f64 (*.f64 (cbrt.f64 (log.f64 (/.f64 -1 lo))) (cbrt.f64 (log.f64 (/.f64 -1 lo))))) (cbrt.f64 (log.f64 (/.f64 -1 lo)))))) 2/3) 3) (pow.f64 (/.f64 (cbrt.f64 lo) (cbrt.f64 hi)) 3))))
	51.9b	(+.f64 (/.f64 x hi) (-.f64 (fma.f64 (/.f64 x hi) (.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi)) (.f64 (/.f64 lo hi) (-.f64 -1 (/.f64 lo hi)))) (.f64 (pow.f64 (pow.f64 (exp.f64 (/.f64 (-.f64 (.f64 (log.f64 hi) (log.f64 hi)) (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1 lo))) 6)) (-.f64 (log.f64 (/.f64 -1 lo)) (log.f64 hi)))) 2/3) 3) (pow.f64 (/.f64 (cbrt.f64 lo) (cbrt.f64 hi)) 3))))
	51.9b	(+.f64 (/.f64 x hi) (-.f64 (fma.f64 (/.f64 x hi) (.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi)) (.f64 (/.f64 lo hi) (-.f64 -1 (/.f64 lo hi)))) (.f64 (pow.f64 (pow.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (neg.f64 (log.f64 hi)) 3) (pow.f64 (log.f64 (/.f64 -1 lo)) 3)) (fma.f64 (log.f64 hi) (log.f64 hi) (.f64 (log.f64 (/.f64 -1 lo)) (-.f64 (log.f64 (/.f64 -1 lo)) (log.f64 hi)))))) 2/3) 3) (pow.f64 (/.f64 (cbrt.f64 lo) (cbrt.f64 hi)) 3))))
	51.9b	(+.f64 (/.f64 x hi) (-.f64 (fma.f64 (/.f64 x hi) (.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi)) (.f64 (/.f64 lo hi) (-.f64 -1 (/.f64 lo hi)))) (.f64 (pow.f64 (pow.f64 (exp.f64 (fma.f64 (.f64 (cbrt.f64 (log.f64 hi)) (cbrt.f64 (log.f64 hi))) (neg.f64 (cbrt.f64 (log.f64 hi))) (log.f64 (*.f64 -1 lo)))) 2/3) 3) (pow.f64 (/.f64 (cbrt.f64 lo) (cbrt.f64 hi)) 3))))
	58.0b	(-.f64 (+.f64 1 (+.f64 (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)) (pow.f64 (/.f64 hi lo) 3))) (+.f64 (/.f64 x lo) (.f64 (/.f64 x lo) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)))))
	51.9b	(+.f64 (/.f64 x hi) (-.f64 (fma.f64 (/.f64 x hi) (.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi)) (.f64 (/.f64 lo hi) (-.f64 -1 (/.f64 lo hi)))) (.f64 (exp.f64 (.f64 (-.f64 (log.f64 (.f64 (cbrt.f64 lo) (cbrt.f64 lo))) (log.f64 (.f64 (cbrt.f64 hi) (cbrt.f64 hi)))) 3)) (pow.f64 (/.f64 (cbrt.f64 lo) (cbrt.f64 hi)) 3))))
	51.9b	(+.f64 (/.f64 x hi) (-.f64 (fma.f64 (/.f64 x hi) (.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi)) (.f64 (/.f64 lo hi) (-.f64 -1 (/.f64 lo hi)))) (.f64 (pow.f64 (pow.f64 (exp.f64 (+.f64 (fma.f64 -1 (log.f64 hi) (neg.f64 (.f64 (cbrt.f64 (log.f64 (/.f64 -1 lo))) (.f64 (cbrt.f64 (log.f64 (/.f64 -1 lo))) (cbrt.f64 (log.f64 (/.f64 -1 lo))))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (/.f64 -1 lo)))) (.f64 (cbrt.f64 (log.f64 (/.f64 -1 lo))) (cbrt.f64 (log.f64 (/.f64 -1 lo)))) (.f64 (cbrt.f64 (log.f64 (/.f64 -1 lo))) (.f64 (cbrt.f64 (log.f64 (/.f64 -1 lo))) (cbrt.f64 (log.f64 (/.f64 -1 lo)))))))) 2/3) 3) (pow.f64 (/.f64 (cbrt.f64 lo) (cbrt.f64 hi)) 3))))
	58.1b	(+.f64 (/.f64 x hi) (-.f64 (fma.f64 (/.f64 x hi) (.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi)) (.f64 (/.f64 lo hi) (neg.f64 (/.f64 lo hi)))) (*.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 (neg.f64 (log.f64 hi)) (log.f64 (/.f64 -1 lo)))) 2/3) 3) (pow.f64 (/.f64 (cbrt.f64 lo) (cbrt.f64 hi)) 3))))

Compiler

Compiled 21446 to 10390 computations (51.6% saved)

regimes663.0ms (10%)

Accuracy

Total 1.2b remaining (2.3%)

Threshold costs 0b (0%)

Counts

123 → 1

Compiler

Compiled 24902 to 12912 computations (48.1% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	44
1	21	44
2	30	44
3	36	44
4	40	44
5	41	44
6	41	44

end1.0ms (0%)

Compiler: Compiled 33 to 14 computations (57.6% saved)

sample1.3s (18.9%)

Algorithm

1×

intervals

Results

242.0ms	8000×	body	128	valid
183.0ms	8000×	pre	128	true

Compiler

Compiled 1066 to 659 computations (38.2% saved)

Details

analyze2.0ms (0%)

sample188.0ms (2.8%)

simplify76.0ms (1.1%)

prune1.0ms (0%)

localize4.0ms (0.1%)

series20.0ms (0.3%)

rewrite10.0ms (0.2%)

simplify76.0ms (1.1%)

prune41.0ms (0.6%)

localize13.0ms (0.2%)

series43.0ms (0.7%)

rewrite57.0ms (0.9%)

simplify177.0ms (2.7%)

prune262.0ms (3.9%)

localize23.0ms (0.4%)

series1.2s (18%)

rewrite25.0ms (0.4%)

simplify128.0ms (1.9%)

prune195.0ms (2.9%)

localize31.0ms (0.5%)

series1.6s (23.6%)

rewrite67.0ms (1%)

simplify177.0ms (2.7%)

prune340.0ms (5.1%)

regimes663.0ms (10%)

simplify3.0ms (0%)

end1.0ms (0%)

sample1.3s (18.9%)

Profiling