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)

sample1.0s (15.4%)

Results

794.0ms

8256×

body

128

valid

Compiler

Compiled 44 to 28 computations (36.4% saved)

simplify87.0ms (1.3%)

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

prune2.0ms (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)

localize5.0ms (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:

19.0ms

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

rewrite11.0ms (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:

7.0ms

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

simplify79.0ms (1.2%)

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

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	81	3	84
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	82	3	85

Error

51.3b

Counts

85 → 3

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)))
	51.9b	(-.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)))))
	57.1b	(-.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)))))

Compiler

Compiled 1853 to 655 computations (64.7% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (/.f64 lo hi) (-.f64 -1 (/.f64 lo hi)))
✓	0.7b	(pow.f64 (/.f64 lo hi) 3)
✓	1.7b	(+.f64 (/.f64 lo hi) 1)
✓	1.7b	(-.f64 -1 (/.f64 lo hi))

series43.0ms (0.7%)

Counts

4 → 96

Calls

4 calls:

17.0ms	(*.f64 (/.f64 lo hi) (-.f64 -1 (/.f64 lo hi)))
15.0ms	(pow.f64 (/.f64 lo hi) 3)
6.0ms	(-.f64 -1 (/.f64 lo hi))
4.0ms	(+.f64 (/.f64 lo hi) 1)

rewrite59.0ms (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)))
6.0ms	(-.f64 -1 (/.f64 lo hi))
6.0ms	(+.f64 (/.f64 lo hi) 1)
3.0ms	(pow.f64 (/.f64 lo hi) 3)

simplify183.0ms (2.8%)

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

prune228.0ms (3.5%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	330	10	340
Fresh	0	2	2
Picked	1	0	1
Done	0	0	0
Total	331	12	343

Error

50.8b

Counts

343 → 12

Alt Table

Status	Error	Program
	57.1b	(-.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 (neg.f64 (/.f64 (.f64 (cbrt.f64 lo) (cbrt.f64 lo)) (sqrt.f64 hi))) (/.f64 (cbrt.f64 lo) (sqrt.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 (/.f64 lo hi) (.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)))
	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 (cbrt.f64 (pow.f64 (/.f64 lo hi) 3)) (cbrt.f64 (pow.f64 (/.f64 lo hi) 3))) (cbrt.f64 (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 (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 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 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 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))))
	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))))
	57.1b	(+.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)))

Compiler

Compiled 18065 to 6216 computations (65.6% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.7b	(pow.f64 (cbrt.f64 (/.f64 lo hi)) 3)
✓	0.7b	(pow.f64 (*.f64 (cbrt.f64 (/.f64 lo hi)) (cbrt.f64 (/.f64 lo hi))) 3)
	1.7b	(+.f64 (/.f64 lo hi) 1)
	1.7b	(-.f64 -1 (/.f64 lo hi))

series1.1s (17.1%)

Counts

2 → 48

Calls

2 calls:

699.0ms	(pow.f64 (*.f64 (cbrt.f64 (/.f64 lo hi)) (cbrt.f64 (/.f64 lo hi))) 3)
416.0ms	(pow.f64 (cbrt.f64 (/.f64 lo hi)) 3)

rewrite14.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`cbrt-prod_binary64`
20×	`*-un-lft-identity_binary64`
20×	`add-sqr-sqrt_binary64`
20×	`add-cube-cbrt_binary64`
18×	`times-frac_binary64`

Counts

2 → 87

Calls

2 calls:

6.0ms	(pow.f64 (*.f64 (cbrt.f64 (/.f64 lo hi)) (cbrt.f64 (/.f64 lo hi))) 3)
3.0ms	(pow.f64 (cbrt.f64 (/.f64 lo hi)) 3)

simplify81.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

563×	`fma-def_binary64`
298×	`times-frac_binary64`
280×	`associate-/l*_binary64`
215×	`log-prod_binary64`
194×	`sqr-pow_binary64`

Counts

135 → 118

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	213	2057
1	541	1795
2	1530	1260
3	4641	1260
4	5054	1260

prune163.0ms (2.5%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	236	3	239
Fresh	4	7	11
Picked	1	0	1
Done	0	0	0
Total	241	10	251

Error

50.8b

Counts

251 → 10

Alt Table

Status	Error	Program
	57.1b	(-.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 (neg.f64 (/.f64 (.f64 (cbrt.f64 lo) (cbrt.f64 lo)) (sqrt.f64 hi))) (/.f64 (cbrt.f64 lo) (sqrt.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 -1 (/.f64 lo hi)))) (.f64 (pow.f64 (.f64 (cbrt.f64 (/.f64 lo hi)) (cbrt.f64 (/.f64 lo hi))) 3) (*.f64 (pow.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 hi))) 3) (pow.f64 (cbrt.f64 (/.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))))
▶	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 (cbrt.f64 (/.f64 lo hi)) 3))))
	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 (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 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)))))
	57.1b	(+.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 (cbrt.f64 (/.f64 lo hi)) (cbrt.f64 (/.f64 lo hi))) 3) (pow.f64 (cbrt.f64 (/.f64 lo hi)) 3))))
	57.1b	(+.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)))

Compiler

Compiled 14100 to 4916 computations (65.1% saved)

localize27.0ms (0.4%)

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)
	1.7b	(+.f64 (/.f64 lo hi) 1)
	1.7b	(-.f64 -1 (/.f64 lo hi))
✓	10.4b	(-.f64 (neg.f64 (log.f64 hi)) (log.f64 (/.f64 -1 lo)))

series1.6s (24.3%)

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)
391.0ms	(-.f64 (neg.f64 (log.f64 hi)) (log.f64 (/.f64 -1 lo)))

rewrite66.0ms (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:

19.0ms	(pow.f64 (pow.f64 (exp.f64 (-.f64 (neg.f64 (log.f64 hi)) (log.f64 (/.f64 -1 lo)))) 2/3) 3)
8.0ms	(-.f64 (neg.f64 (log.f64 hi)) (log.f64 (/.f64 -1 lo)))

simplify183.0ms (2.8%)

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

prune334.0ms (5.1%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	313	10	323
Fresh	3	6	9
Picked	1	0	1
Done	0	0	0
Total	317	16	333

Error

50.8b

Counts

333 → 16

Alt Table

Status	Error	Program
	57.1b	(-.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 (neg.f64 (/.f64 (.f64 (cbrt.f64 lo) (cbrt.f64 lo)) (sqrt.f64 hi))) (/.f64 (cbrt.f64 lo) (sqrt.f64 hi)))))) (pow.f64 (/.f64 lo hi) 3)))
	57.1b	(+.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 (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 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 (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 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 (cbrt.f64 (/.f64 lo hi)) 3))))
	57.1b	(+.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 (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 lo hi) (-.f64 -1 (/.f64 lo hi)))) (.f64 (pow.f64 (pow.f64 (exp.f64 (/.f64 (-.f64 (.f64 (neg.f64 (log.f64 hi)) (neg.f64 (log.f64 hi))) (*.f64 (log.f64 (/.f64 -1 lo)) (log.f64 (/.f64 -1 lo)))) (+.f64 (neg.f64 (log.f64 hi)) (log.f64 (/.f64 -1 lo))))) 2/3) 3) (pow.f64 (cbrt.f64 (/.f64 lo hi)) 3))))
	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 (fma.f64 (sqrt.f64 (log.f64 hi)) (neg.f64 (sqrt.f64 (log.f64 hi))) (log.f64 (.f64 -1 lo)))) 2/3) 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 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 (cbrt.f64 (/.f64 lo hi)) 3))))
	51.9b	(-.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 (.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 (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 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 (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 lo hi) (-.f64 -1 (/.f64 lo hi)))) (.f64 (pow.f64 (pow.f64 (exp.f64 (+.f64 (neg.f64 (log.f64 (.f64 (cbrt.f64 hi) (cbrt.f64 hi)))) (-.f64 (log.f64 (*.f64 -1 lo)) (log.f64 (cbrt.f64 hi))))) 2/3) 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 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 (cbrt.f64 (/.f64 lo hi)) 3))))
	57.1b	(+.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)))

Compiler

Compiled 21088 to 10337 computations (51% saved)

regimes622.0ms (9.6%)

Accuracy

Total 1.3b remaining (2.4%)

Threshold costs 0b (0%)

Counts

104 → 1

Compiler

Compiled 21518 to 11304 computations (47.5% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

10×	`+-commutative_binary64`
9×	`*-commutative_binary64`
8×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
5×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	85
1	48	85
2	63	85
3	73	85
4	79	85
5	80	85
6	79	85

end517.0ms (7.9%)

Compiler: Compiled 1092 to 638 computations (41.6% saved)

Details

analyze2.0ms (0%)

sample1.0s (15.4%)

simplify87.0ms (1.3%)

prune2.0ms (0%)

localize5.0ms (0.1%)

series20.0ms (0.3%)

rewrite11.0ms (0.2%)

simplify79.0ms (1.2%)

prune41.0ms (0.6%)

localize13.0ms (0.2%)

series43.0ms (0.7%)

rewrite59.0ms (0.9%)

simplify183.0ms (2.8%)

prune228.0ms (3.5%)

localize17.0ms (0.3%)

series1.1s (17.1%)

rewrite14.0ms (0.2%)

simplify81.0ms (1.2%)

prune163.0ms (2.5%)

localize27.0ms (0.4%)

series1.6s (24.3%)

rewrite66.0ms (1%)

simplify183.0ms (2.8%)

prune334.0ms (5.1%)

regimes622.0ms (9.6%)

simplify6.0ms (0.1%)

end517.0ms (7.9%)

Profiling