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 (19%)

Results

819.0ms

8256×

body

128

valid

Compiler

Compiled 44 to 28 computations (36.4% saved)

simplify84.0ms (1.6%)

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)

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 (0.4%)

Counts

1 → 36

Calls

1 calls:

20.0ms

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

rewrite13.0ms (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:

9.0ms

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

simplify79.0ms (1.5%)

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

prune40.0ms (0.7%)

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
	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)))) (pow.f64 (/.f64 lo hi) 3)))

Compiler

Compiled 1853 to 655 computations (64.7% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (/.f64 lo hi) (-.f64 -1 (/.f64 lo hi)))
✓	0.8b	(pow.f64 (/.f64 lo hi) 3)
✓	1.7b	(+.f64 (/.f64 lo hi) 1)
✓	1.7b	(-.f64 -1 (/.f64 lo hi))

series42.0ms (0.8%)

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)
5.0ms	(+.f64 (/.f64 lo hi) 1)
5.0ms	(-.f64 -1 (/.f64 lo hi))

rewrite56.0ms (1%)

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))
5.0ms	(+.f64 (/.f64 lo hi) 1)
3.0ms	(pow.f64 (/.f64 lo hi) 3)

simplify177.0ms (3.3%)

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

prune231.0ms (4.3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	332	8	340
Fresh	0	2	2
Picked	1	0	1
Done	0	0	0
Total	333	10	343

Error

50.7b

Counts

343 → 10

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 (fma.f64 1 -1 (neg.f64 (.f64 (/.f64 (cbrt.f64 lo) (sqrt.f64 hi)) (/.f64 (.f64 (cbrt.f64 lo) (cbrt.f64 lo)) (sqrt.f64 hi))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 lo) (sqrt.f64 hi))) (/.f64 (.f64 (cbrt.f64 lo) (cbrt.f64 lo)) (sqrt.f64 hi)) (.f64 (/.f64 (cbrt.f64 lo) (sqrt.f64 hi)) (/.f64 (*.f64 (cbrt.f64 lo) (cbrt.f64 lo)) (sqrt.f64 hi))))))) (pow.f64 (/.f64 lo 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 (.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 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)))
	58.0b	(+.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 (/.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 x lo) (.f64 (/.f64 x lo) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)))))
	52.0b	(+.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 (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)))
	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))))

Compiler

Compiled 17941 to 6132 computations (65.8% saved)

localize22.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

series1.2s (21.2%)

Counts

2 → 48

Calls

2 calls:

704.0ms	(pow.f64 (/.f64 (.f64 (cbrt.f64 lo) (cbrt.f64 lo)) (.f64 (cbrt.f64 hi) (cbrt.f64 hi))) 3)
446.0ms	(pow.f64 (/.f64 (cbrt.f64 lo) (cbrt.f64 hi)) 3)

rewrite25.0ms (0.5%)

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:

7.0ms	(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)

simplify129.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

542×	`fma-def_binary64`
364×	`fma-neg_binary64`
326×	`log-div_binary64`
272×	`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

prune194.0ms (3.6%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	265	7	272
Fresh	4	5	9
Picked	1	0	1
Done	0	0	0
Total	270	12	282

Error

50.7b

Counts

282 → 12

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)))) (.f64 (pow.f64 (/.f64 (.f64 (cbrt.f64 lo) (cbrt.f64 lo)) (.f64 (cbrt.f64 hi) (cbrt.f64 hi))) 3) (.f64 (pow.f64 (/.f64 1 (sqrt.f64 (cbrt.f64 hi))) 3) (/.f64 lo (pow.f64 (sqrt.f64 (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 (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)))
	58.0b	(+.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 (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 (.f64 (pow.f64 (/.f64 (cbrt.f64 lo) (cbrt.f64 hi)) 3) (pow.f64 (/.f64 (cbrt.f64 lo) (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 (/.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)))))
	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 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)))
	58.0b	(+.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))))
	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) (.f64 (pow.f64 (/.f64 (.f64 (cbrt.f64 (cbrt.f64 lo)) (cbrt.f64 (cbrt.f64 lo))) (.f64 (cbrt.f64 (cbrt.f64 hi)) (cbrt.f64 (cbrt.f64 hi)))) 3) (pow.f64 (/.f64 (cbrt.f64 (cbrt.f64 lo)) (cbrt.f64 (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 (/.f64 (.f64 (cbrt.f64 lo) (cbrt.f64 lo)) (.f64 (cbrt.f64 hi) (cbrt.f64 hi))) 3) (.f64 (pow.f64 (*.f64 (cbrt.f64 (/.f64 (cbrt.f64 lo) (cbrt.f64 hi))) (cbrt.f64 (/.f64 (cbrt.f64 lo) (cbrt.f64 hi)))) 3) (pow.f64 (cbrt.f64 (/.f64 (cbrt.f64 lo) (cbrt.f64 hi))) 3)))))

Compiler

Compiled 17160 to 5708 computations (66.7% saved)

localize30.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.7b	(pow.f64 (/.f64 (cbrt.f64 lo) (cbrt.f64 hi)) 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)))

series387.0ms (7.1%)

Counts

1 → 24

Calls

1 calls:

387.0ms

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

rewrite16.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

48×	`prod-diff_binary64`
44×	`*-un-lft-identity_binary64`
39×	`add-sqr-sqrt_binary64`
37×	`add-cube-cbrt_binary64`
29×	`pow1_binary64`

Counts

1 → 103

Calls

1 calls:

8.0ms

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

simplify135.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

471×	`fma-def_binary64`
455×	`sub-neg_binary64`
338×	`associate-l_binary64`
302×	`fma-neg_binary64`
264×	`distribute-rgt-in_binary64`

Counts

127 → 113

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	156	2506
1	317	2123
2	998	1715
3	3642	1528
4	3957	1379
5	4993	1379
6	4846	1379

prune321.0ms (5.9%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	320	10	330
Fresh	5	6	11
Picked	1	0	1
Done	0	0	0
Total	326	16	342

Error

50.7b

Counts

342 → 16

Alt Table

Status	Error	Program
	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 (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))))
	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) (neg.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (neg.f64 (log.f64 hi)) (log.f64 (/.f64 -1 lo))))) 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)))))
	58.0b	(+.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))))
	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 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)))
	58.0b	(+.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 (fma.f64 (.f64 (cbrt.f64 (log.f64 hi)) (cbrt.f64 (log.f64 hi))) (neg.f64 (cbrt.f64 (log.f64 hi))) (log.f64 (neg.f64 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 (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 (-.f64 (.f64 -2 (log.f64 (cbrt.f64 (/.f64 -1 lo)))) (log.f64 hi)) (log.f64 (cbrt.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 -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))))
	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 (.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 (/.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 (sqrt.f64 (log.f64 hi)) (neg.f64 (sqrt.f64 (log.f64 hi))) (log.f64 (neg.f64 lo)))) 2/3) 3) (pow.f64 (/.f64 (cbrt.f64 lo) (cbrt.f64 hi)) 3))))
	58.0b	(+.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))))

Compiler

Compiled 20970 to 9623 computations (54.1% saved)

regimes735.0ms (13.6%)

Accuracy

Total 1.3b remaining (2.4%)

Threshold costs 0b (0%)

Counts

123 → 1

Compiler

Compiled 25558 to 13372 computations (47.7% saved)

simplify3.0ms (0.1%)

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	16	38
1	25	38
2	37	38
3	42	38
4	46	38
5	47	38
6	45	38

end479.0ms (8.8%)

Compiler: Compiled 1033 to 619 computations (40.1% saved)

Details

analyze2.0ms (0%)

sample1.0s (19%)

simplify84.0ms (1.6%)

prune1.0ms (0%)

localize5.0ms (0.1%)

series20.0ms (0.4%)

rewrite13.0ms (0.2%)

simplify79.0ms (1.5%)

prune40.0ms (0.7%)

localize12.0ms (0.2%)

series42.0ms (0.8%)

rewrite56.0ms (1%)

simplify177.0ms (3.3%)

prune231.0ms (4.3%)

localize22.0ms (0.4%)

series1.2s (21.2%)

rewrite25.0ms (0.5%)

simplify129.0ms (2.4%)

prune194.0ms (3.6%)

localize30.0ms (0.5%)

series387.0ms (7.1%)

rewrite16.0ms (0.3%)

simplify135.0ms (2.5%)

prune321.0ms (5.9%)

regimes735.0ms (13.6%)

simplify3.0ms (0.1%)

end479.0ms (8.8%)

Profiling