Details

analyze2.7s (37.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
0.8%	98.9%	0.3%	13
1.2%	98.5%	0.3%	14

Compiler

Compiled 44 to 31 computations (29.5% saved)

sample2.1s (29.9%)

Results

1.9s	8256×	body	128	valid
203.0ms	858×	body	128	invalid

preprocess46.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

524×	`associate-+r+_binary64`
524×	`associate-+l+_binary64`
472×	`fma-def_binary64`
435×	`associate-l_binary64`
390×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	182	656
1	508	656
2	1160	624
3	3497	624
0	6	6

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2
3
4
5

Outputs
0
1
2
3
4
5

Call 2

Inputs
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Outputs
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(+.f64 x (/.f64 (.f64 b (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 z 313060547623/100000000000) 55833770631/5000000000) z) t) z) a) z) y)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 z 15234687407/1000000000) z) 314690115749/10000000000) z) 119400905721/10000000000) z) 607771387771/1000000000000)))
(+.f64 x (/.f64 (*.f64 b (fma.f64 (fma.f64 (fma.f64 (fma.f64 z 313060547623/100000000000 55833770631/5000000000) z t) z a) z y)) (fma.f64 (fma.f64 (fma.f64 (+.f64 z 15234687407/1000000000) z 314690115749/10000000000) z 119400905721/10000000000) z 607771387771/1000000000000)))
(+.f64 x (*.f64 (/.f64 b (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) y)))
(fma.f64 (/.f64 b (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) y) x)
(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 t 313060547623/100000000000) 55833770631/5000000000) t) z) t) a) t) b)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 t 15234687407/1000000000) t) 314690115749/10000000000) t) 119400905721/10000000000) t) 607771387771/1000000000000)))
(+.f64 x (/.f64 y (/.f64 (fma.f64 (fma.f64 (fma.f64 (+.f64 t 15234687407/1000000000) t 314690115749/10000000000) t 119400905721/10000000000) t 607771387771/1000000000000) (fma.f64 (fma.f64 (fma.f64 (fma.f64 t 313060547623/100000000000 55833770631/5000000000) t z) t a) t b))))
(+.f64 x (/.f64 y (/.f64 (fma.f64 t (fma.f64 t (fma.f64 t (+.f64 t 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000) (fma.f64 t (fma.f64 t (fma.f64 t (fma.f64 313060547623/100000000000 t 55833770631/5000000000) z) a) b))))
(fma.f64 (/.f64 y (fma.f64 t (fma.f64 t (fma.f64 t (+.f64 t 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) (fma.f64 t (fma.f64 t (fma.f64 t (fma.f64 313060547623/100000000000 t 55833770631/5000000000) z) a) b) x)
(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 a 313060547623/100000000000) 55833770631/5000000000) a) t) a) z) a) b)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 a 15234687407/1000000000) a) 314690115749/10000000000) a) 119400905721/10000000000) a) 607771387771/1000000000000)))
(+.f64 x (/.f64 y (/.f64 (fma.f64 (fma.f64 (fma.f64 (+.f64 a 15234687407/1000000000) a 314690115749/10000000000) a 119400905721/10000000000) a 607771387771/1000000000000) (fma.f64 (fma.f64 (fma.f64 (fma.f64 a 313060547623/100000000000 55833770631/5000000000) a t) a z) a b))))
(+.f64 x (*.f64 (/.f64 y (fma.f64 a (fma.f64 a (fma.f64 a (+.f64 a 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) (fma.f64 a (fma.f64 a (fma.f64 a (fma.f64 313060547623/100000000000 a 55833770631/5000000000) t) z) b)))
(fma.f64 (/.f64 y (fma.f64 a (fma.f64 a (fma.f64 a (+.f64 a 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) (fma.f64 a (fma.f64 a (fma.f64 a (fma.f64 313060547623/100000000000 a 55833770631/5000000000) t) z) b) x)
(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 b 313060547623/100000000000) 55833770631/5000000000) b) t) b) a) b) z)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 b 15234687407/1000000000) b) 314690115749/10000000000) b) 119400905721/10000000000) b) 607771387771/1000000000000)))
(+.f64 x (/.f64 (*.f64 y (fma.f64 (fma.f64 (fma.f64 (fma.f64 b 313060547623/100000000000 55833770631/5000000000) b t) b a) b z)) (fma.f64 (fma.f64 (fma.f64 (+.f64 b 15234687407/1000000000) b 314690115749/10000000000) b 119400905721/10000000000) b 607771387771/1000000000000)))
(+.f64 x (*.f64 (/.f64 y (fma.f64 b (fma.f64 b (fma.f64 b (+.f64 b 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) (fma.f64 b (fma.f64 b (fma.f64 b (fma.f64 313060547623/100000000000 b 55833770631/5000000000) t) a) z)))
(fma.f64 (/.f64 y (fma.f64 b (fma.f64 b (fma.f64 b (+.f64 b 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) (fma.f64 b (fma.f64 b (fma.f64 b (fma.f64 313060547623/100000000000 b 55833770631/5000000000) t) a) z) x)
(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 z 313060547623/100000000000) 55833770631/5000000000) z) a) z) t) z) b)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 z 15234687407/1000000000) z) 314690115749/10000000000) z) 119400905721/10000000000) z) 607771387771/1000000000000)))
(+.f64 x (/.f64 (*.f64 y (fma.f64 (fma.f64 (fma.f64 (fma.f64 z 313060547623/100000000000 55833770631/5000000000) z a) z t) z b)) (fma.f64 (fma.f64 (fma.f64 (+.f64 z 15234687407/1000000000) z 314690115749/10000000000) z 119400905721/10000000000) z 607771387771/1000000000000)))
(+.f64 x (*.f64 (/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) a) t) b)))
(fma.f64 (/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) a) t) b) x)
(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 z 313060547623/100000000000) 55833770631/5000000000) z) b) z) a) z) t)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 z 15234687407/1000000000) z) 314690115749/10000000000) z) 119400905721/10000000000) z) 607771387771/1000000000000)))
(+.f64 x (/.f64 y (/.f64 (fma.f64 (fma.f64 (fma.f64 (+.f64 z 15234687407/1000000000) z 314690115749/10000000000) z 119400905721/10000000000) z 607771387771/1000000000000) (fma.f64 (fma.f64 (fma.f64 (fma.f64 z 313060547623/100000000000 55833770631/5000000000) z b) z a) z t))))
(+.f64 x (*.f64 (/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) b) a) t)))
(fma.f64 (/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) b) a) t) x)
(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 z 313060547623/100000000000) 55833770631/5000000000) z) t) z) b) z) a)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 z 15234687407/1000000000) z) 314690115749/10000000000) z) 119400905721/10000000000) z) 607771387771/1000000000000)))
(+.f64 x (/.f64 (*.f64 y (fma.f64 (fma.f64 (fma.f64 (fma.f64 z 313060547623/100000000000 55833770631/5000000000) z t) z b) z a)) (fma.f64 (fma.f64 (fma.f64 (+.f64 z 15234687407/1000000000) z 314690115749/10000000000) z 119400905721/10000000000) z 607771387771/1000000000000)))
(+.f64 x (*.f64 (/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) b) a)))
(fma.f64 (/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) b) a) x)

Compiler

Compiled 43 to 30 computations (30.2% saved)

simplify41.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

704×	`distribute-rgt-in_binary64`
703×	`distribute-lft-in_binary64`
676×	`fma-def_binary64`
308×	`associate-l_binary64`
236×	`associate-+l+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	41
1	63	41
2	134	39
3	402	39
4	1067	39
5	3164	39
6	4889	39

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs

(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 z 313060547623/100000000000) 55833770631/5000000000) z) t) z) a) z) b)) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 z 15234687407/1000000000) z) 314690115749/10000000000) z) 119400905721/10000000000) z) 607771387771/1000000000000)))

Outputs
(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 z 313060547623/100000000000) 55833770631/5000000000) z) t) z) a) z) b)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 z 15234687407/1000000000) z) 314690115749/10000000000) z) 119400905721/10000000000) z) 607771387771/1000000000000)))
(+.f64 x (/.f64 y (/.f64 (fma.f64 (fma.f64 (fma.f64 (+.f64 z 15234687407/1000000000) z 314690115749/10000000000) z 119400905721/10000000000) z 607771387771/1000000000000) (fma.f64 (fma.f64 (fma.f64 (fma.f64 z 313060547623/100000000000 55833770631/5000000000) z t) z a) z b))))
(+.f64 x (*.f64 (/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b)))
(fma.f64 (/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) x)
(fma.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) x)
(fma.f64 y (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) x)

eval1.0ms (0%)

Compiler: Compiled 72 to 46 computations (36.1% saved)

prune4.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

31.1b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
	32.4b	(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 z 313060547623/100000000000) 55833770631/5000000000) z) t) z) a) z) b)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 z 15234687407/1000000000) z) 314690115749/10000000000) z) 119400905721/10000000000) z) 607771387771/1000000000000)))
▶	31.1b	(fma.f64 y (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) x)

Status

Error

Program

32.4b

(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 z 313060547623/100000000000) 55833770631/5000000000) z) t) z) a) z) b)) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 z 15234687407/1000000000) z) 314690115749/10000000000) z) 119400905721/10000000000) z) 607771387771/1000000000000)))

▶

31.1b

(fma.f64 y (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) x)

Compiler

Compiled 156 to 104 computations (33.3% saved)

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 z 313060547623/100000000000 55833770631/5000000000)
✓	0.1b	(fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t)
✓	0.1b	(fma.f64 y (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) x)
✓	30.2b	(/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))

series41.0ms (0.6%)

Counts

4 → 156

Calls

39 calls:

Time	Variable		Point	Expression
4.0ms	y	@	0	(fma.f64 y (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) x)
2.0ms	a	@	-inf	(/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))
2.0ms	z	@	0	(/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))
2.0ms	t	@	0	(/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))
2.0ms	z	@	-inf	(fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t)

rewrite50.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

244×	`add-sqr-sqrt_binary64`
231×	`*-un-lft-identity_binary64`
231×	`pow1_binary64`
228×	`add-exp-log_binary64`
228×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	88
1	485	88

Stop Event

1×	node limit

Counts

4 → 80

Calls

Call 1

Inputs
(/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))
(fma.f64 y (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) x)
(fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t)
(fma.f64 z 313060547623/100000000000 55833770631/5000000000)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (/.f64 1 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 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(fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b)) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b)) 1) (/.f64 (sqrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b)) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) 2)) (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (cbrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b)) 2) (pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) 2)) (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 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607771387771/1000000000000))) (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (sqrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b)) 2) (sqrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))) (/.f64 (cbrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b)) (sqrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000) (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) 3) (pow.f64 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 y (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) x) 2)) (cbrt.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) x)) (sqrt.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 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z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)))) (-.f64 (.f64 x x) (.f64 (.f64 y (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000)) t)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t)) 2) (cbrt.f64 (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t)) (sqrt.f64 (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000)) 3) (pow.f64 t 3)) (+.f64 (.f64 (.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000)) (.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000))) (-.f64 (.f64 t t) (.f64 (.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000)) t))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t)))))))
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simplify194.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

755×	`fma-def_binary64`
217×	`distribute-rgt-in_binary64`
215×	`associate-l_binary64`
200×	`associate-r_binary64`
197×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	201	7954
1	569	6547
2	1675	5694

Stop Event

1×	node limit

Counts

236 → 177

Calls

Call 1

Inputs
(*.f64 1000000000000/607771387771 b)
(+.f64 (.f64 (-.f64 (.f64 1000000000000/607771387771 a) (.f64 11940090572100000000000000/369386059793087248348441 b)) z) (.f64 1000000000000/607771387771 b))
(+.f64 (.f64 (-.f64 (.f64 1000000000000/607771387771 a) (.f64 11940090572100000000000000/369386059793087248348441 b)) z) (+.f64 (.f64 1000000000000/607771387771 b) (.f64 (pow.f64 z 2) (-.f64 (.f64 1000000000000/607771387771 t) (+.f64 (.f64 31469011574900000000000000/369386059793087248348441 b) (.f64 11940090572100/607771387771 (-.f64 (.f64 1000000000000/607771387771 a) (.f64 11940090572100000000000000/369386059793087248348441 b))))))))
(+.f64 (.f64 (-.f64 11166754126200/607771387771 (+.f64 (.f64 31469011574900/607771387771 (-.f64 (.f64 1000000000000/607771387771 a) (.f64 11940090572100000000000000/369386059793087248348441 b))) (+.f64 (.f64 15234687407000000000000000/369386059793087248348441 b) (.f64 11940090572100/607771387771 (-.f64 (.f64 1000000000000/607771387771 t) (+.f64 (.f64 31469011574900000000000000/369386059793087248348441 b) (.f64 11940090572100/607771387771 (-.f64 (.f64 1000000000000/607771387771 a) (.f64 11940090572100000000000000/369386059793087248348441 b))))))))) (pow.f64 z 3)) (+.f64 (.f64 (-.f64 (.f64 1000000000000/607771387771 a) (.f64 11940090572100000000000000/369386059793087248348441 b)) z) (+.f64 (.f64 1000000000000/607771387771 b) (.f64 (pow.f64 z 2) (-.f64 (.f64 1000000000000/607771387771 t) (+.f64 (.f64 31469011574900000000000000/369386059793087248348441 b) (.f64 11940090572100/607771387771 (-.f64 (.f64 1000000000000/607771387771 a) (*.f64 11940090572100000000000000/369386059793087248348441 b)))))))))
313060547623/100000000000
(-.f64 313060547623/100000000000 (*.f64 3652704169880641883561/100000000000000000000 (/.f64 1 z)))
(-.f64 (+.f64 313060547623/100000000000 (+.f64 (.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 1 (pow.f64 z 2))) (/.f64 t (pow.f64 z 2)))) (.f64 3652704169880641883561/100000000000000000000 (/.f64 1 z)))
(-.f64 (+.f64 313060547623/100000000000 (+.f64 (.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (/.f64 t (pow.f64 z 2)) (+.f64 (.f64 1112090185084895700201045470302189/1000000000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (/.f64 a (pow.f64 z 3)))))) (+.f64 (.f64 3652704169880641883561/100000000000000000000 (/.f64 1 z)) (.f64 15234687407/1000000000 (/.f64 (+.f64 45796100221584283915100827016327/100000000000000000000000000000 t) (pow.f64 z 3)))))
313060547623/100000000000
(-.f64 313060547623/100000000000 (*.f64 3652704169880641883561/100000000000000000000 (/.f64 1 z)))
(-.f64 (+.f64 313060547623/100000000000 (+.f64 (.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 1 (pow.f64 z 2))) (/.f64 t (pow.f64 z 2)))) (.f64 3652704169880641883561/100000000000000000000 (/.f64 1 z)))
(-.f64 (+.f64 313060547623/100000000000 (+.f64 (.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (/.f64 t (pow.f64 z 2)) (.f64 -1 (/.f64 (-.f64 (.f64 -1 a) (+.f64 1112090185084895700201045470302189/1000000000000000000000000000000 (.f64 -15234687407/1000000000 (+.f64 45796100221584283915100827016327/100000000000000000000000000000 t)))) (pow.f64 z 3)))))) (*.f64 3652704169880641883561/100000000000000000000 (/.f64 1 z)))
(/.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 55833770631/5000000000 (.f64 313060547623/100000000000 z)) (pow.f64 z 2)) a) z) b) (+.f64 607771387771/1000000000000 (.f64 (+.f64 119400905721/10000000000 (.f64 z (+.f64 314690115749/10000000000 (.f64 (+.f64 15234687407/1000000000 z) z)))) z)))
(+.f64 (/.f64 (.f64 t (pow.f64 z 2)) (+.f64 607771387771/1000000000000 (.f64 (+.f64 119400905721/10000000000 (.f64 z (+.f64 314690115749/10000000000 (.f64 (+.f64 15234687407/1000000000 z) z)))) z))) (+.f64 (/.f64 b (+.f64 607771387771/1000000000000 (.f64 (+.f64 119400905721/10000000000 (.f64 z (+.f64 314690115749/10000000000 (.f64 (+.f64 15234687407/1000000000 z) z)))) z))) (/.f64 (.f64 (+.f64 (.f64 (+.f64 55833770631/5000000000 (.f64 313060547623/100000000000 z)) (pow.f64 z 2)) a) z) (+.f64 607771387771/1000000000000 (.f64 (+.f64 119400905721/10000000000 (.f64 z (+.f64 314690115749/10000000000 (*.f64 (+.f64 15234687407/1000000000 z) z)))) z)))))
(+.f64 (/.f64 (.f64 t (pow.f64 z 2)) (+.f64 607771387771/1000000000000 (.f64 (+.f64 119400905721/10000000000 (.f64 z (+.f64 314690115749/10000000000 (.f64 (+.f64 15234687407/1000000000 z) z)))) z))) (+.f64 (/.f64 b (+.f64 607771387771/1000000000000 (.f64 (+.f64 119400905721/10000000000 (.f64 z (+.f64 314690115749/10000000000 (.f64 (+.f64 15234687407/1000000000 z) z)))) z))) (/.f64 (.f64 (+.f64 (.f64 (+.f64 55833770631/5000000000 (.f64 313060547623/100000000000 z)) (pow.f64 z 2)) a) z) (+.f64 607771387771/1000000000000 (.f64 (+.f64 119400905721/10000000000 (.f64 z (+.f64 314690115749/10000000000 (*.f64 (+.f64 15234687407/1000000000 z) z)))) z)))))
(+.f64 (/.f64 (.f64 t (pow.f64 z 2)) (+.f64 607771387771/1000000000000 (.f64 (+.f64 119400905721/10000000000 (.f64 z (+.f64 314690115749/10000000000 (.f64 (+.f64 15234687407/1000000000 z) z)))) z))) (+.f64 (/.f64 b (+.f64 607771387771/1000000000000 (.f64 (+.f64 119400905721/10000000000 (.f64 z (+.f64 314690115749/10000000000 (.f64 (+.f64 15234687407/1000000000 z) z)))) z))) (/.f64 (.f64 (+.f64 (.f64 (+.f64 55833770631/5000000000 (.f64 313060547623/100000000000 z)) (pow.f64 z 2)) a) z) (+.f64 607771387771/1000000000000 (.f64 (+.f64 119400905721/10000000000 (.f64 z (+.f64 314690115749/10000000000 (*.f64 (+.f64 15234687407/1000000000 z) z)))) z)))))
(/.f64 (.f64 t (pow.f64 z 2)) (+.f64 607771387771/1000000000000 (.f64 (+.f64 119400905721/10000000000 (.f64 z (+.f64 314690115749/10000000000 (.f64 (+.f64 15234687407/1000000000 z) z)))) z)))
(+.f64 (/.f64 (.f64 t (pow.f64 z 2)) (+.f64 607771387771/1000000000000 (.f64 (+.f64 119400905721/10000000000 (.f64 z (+.f64 314690115749/10000000000 (.f64 (+.f64 15234687407/1000000000 z) z)))) z))) (+.f64 (/.f64 b (+.f64 607771387771/1000000000000 (.f64 (+.f64 119400905721/10000000000 (.f64 z (+.f64 314690115749/10000000000 (.f64 (+.f64 15234687407/1000000000 z) z)))) z))) (/.f64 (.f64 (+.f64 (.f64 (+.f64 55833770631/5000000000 (.f64 313060547623/100000000000 z)) (pow.f64 z 2)) a) z) (+.f64 607771387771/1000000000000 (.f64 (+.f64 119400905721/10000000000 (.f64 z (+.f64 314690115749/10000000000 (*.f64 (+.f64 15234687407/1000000000 z) z)))) z)))))
(+.f64 (/.f64 (.f64 t (pow.f64 z 2)) (+.f64 607771387771/1000000000000 (.f64 (+.f64 119400905721/10000000000 (.f64 z (+.f64 314690115749/10000000000 (.f64 (+.f64 15234687407/1000000000 z) z)))) z))) (+.f64 (/.f64 b (+.f64 607771387771/1000000000000 (.f64 (+.f64 119400905721/10000000000 (.f64 z (+.f64 314690115749/10000000000 (.f64 (+.f64 15234687407/1000000000 z) z)))) z))) (/.f64 (.f64 (+.f64 (.f64 (+.f64 55833770631/5000000000 (.f64 313060547623/100000000000 z)) (pow.f64 z 2)) a) z) (+.f64 607771387771/1000000000000 (.f64 (+.f64 119400905721/10000000000 (.f64 z (+.f64 314690115749/10000000000 (*.f64 (+.f64 15234687407/1000000000 z) z)))) z)))))
(+.f64 (/.f64 (.f64 t (pow.f64 z 2)) (+.f64 607771387771/1000000000000 (.f64 (+.f64 119400905721/10000000000 (.f64 z (+.f64 314690115749/10000000000 (.f64 (+.f64 15234687407/1000000000 z) z)))) z))) (+.f64 (/.f64 b (+.f64 607771387771/1000000000000 (.f64 (+.f64 119400905721/10000000000 (.f64 z (+.f64 314690115749/10000000000 (.f64 (+.f64 15234687407/1000000000 z) z)))) z))) (/.f64 (.f64 (+.f64 (.f64 (+.f64 55833770631/5000000000 (.f64 313060547623/100000000000 z)) (pow.f64 z 2)) a) z) (+.f64 607771387771/1000000000000 (.f64 (+.f64 119400905721/10000000000 (.f64 z (+.f64 314690115749/10000000000 (*.f64 (+.f64 15234687407/1000000000 z) z)))) z)))))
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(+.f64 (/.f64 (.f64 y b) (+.f64 607771387771/1000000000000 (.f64 (+.f64 119400905721/10000000000 (.f64 z (+.f64 314690115749/10000000000 (.f64 (+.f64 15234687407/1000000000 z) z)))) z))) (+.f64 (/.f64 (.f64 y (.f64 z (+.f64 a (.f64 (+.f64 t (.f64 (+.f64 55833770631/5000000000 (.f64 313060547623/100000000000 z)) z)) z)))) (+.f64 607771387771/1000000000000 (.f64 (+.f64 119400905721/10000000000 (.f64 z (+.f64 314690115749/10000000000 (.f64 (+.f64 15234687407/1000000000 z) z)))) z))) x))
(+.f64 (/.f64 (.f64 y b) (+.f64 607771387771/1000000000000 (.f64 (+.f64 119400905721/10000000000 (.f64 z (+.f64 314690115749/10000000000 (.f64 (+.f64 15234687407/1000000000 z) z)))) z))) (+.f64 (/.f64 (.f64 y (.f64 z (+.f64 a (.f64 (+.f64 t (.f64 (+.f64 55833770631/5000000000 (.f64 313060547623/100000000000 z)) z)) z)))) (+.f64 607771387771/1000000000000 (.f64 (+.f64 119400905721/10000000000 (.f64 z (+.f64 314690115749/10000000000 (.f64 (+.f64 15234687407/1000000000 z) z)))) z))) x))
(/.f64 (.f64 y b) (+.f64 607771387771/1000000000000 (.f64 (+.f64 119400905721/10000000000 (.f64 z (+.f64 314690115749/10000000000 (.f64 (+.f64 15234687407/1000000000 z) z)))) z)))
(+.f64 (/.f64 (.f64 y b) (+.f64 607771387771/1000000000000 (.f64 (+.f64 119400905721/10000000000 (.f64 z (+.f64 314690115749/10000000000 (.f64 (+.f64 15234687407/1000000000 z) z)))) z))) (+.f64 (/.f64 (.f64 y (.f64 z (+.f64 a (.f64 (+.f64 t (.f64 (+.f64 55833770631/5000000000 (.f64 313060547623/100000000000 z)) z)) z)))) (+.f64 607771387771/1000000000000 (.f64 (+.f64 119400905721/10000000000 (.f64 z (+.f64 314690115749/10000000000 (.f64 (+.f64 15234687407/1000000000 z) z)))) z))) x))
(+.f64 (/.f64 (.f64 y b) (+.f64 607771387771/1000000000000 (.f64 (+.f64 119400905721/10000000000 (.f64 z (+.f64 314690115749/10000000000 (.f64 (+.f64 15234687407/1000000000 z) z)))) z))) (+.f64 (/.f64 (.f64 y (.f64 z (+.f64 a (.f64 (+.f64 t (.f64 (+.f64 55833770631/5000000000 (.f64 313060547623/100000000000 z)) z)) z)))) (+.f64 607771387771/1000000000000 (.f64 (+.f64 119400905721/10000000000 (.f64 z (+.f64 314690115749/10000000000 (.f64 (+.f64 15234687407/1000000000 z) z)))) z))) x))
(+.f64 (/.f64 (.f64 y b) (+.f64 607771387771/1000000000000 (.f64 (+.f64 119400905721/10000000000 (.f64 z (+.f64 314690115749/10000000000 (.f64 (+.f64 15234687407/1000000000 z) z)))) z))) (+.f64 (/.f64 (.f64 y (.f64 z (+.f64 a (.f64 (+.f64 t (.f64 (+.f64 55833770631/5000000000 (.f64 313060547623/100000000000 z)) z)) z)))) (+.f64 607771387771/1000000000000 (.f64 (+.f64 119400905721/10000000000 (.f64 z (+.f64 314690115749/10000000000 (.f64 (+.f64 15234687407/1000000000 z) z)))) z))) x))
(/.f64 (.f64 y (+.f64 b (.f64 z (+.f64 a (.f64 (+.f64 t (.f64 (+.f64 55833770631/5000000000 (.f64 313060547623/100000000000 z)) z)) z))))) (+.f64 607771387771/1000000000000 (.f64 (+.f64 119400905721/10000000000 (.f64 z (+.f64 314690115749/10000000000 (.f64 (+.f64 15234687407/1000000000 z) z)))) z)))
(+.f64 (/.f64 (.f64 y (+.f64 b (.f64 z (+.f64 a (.f64 (+.f64 t (.f64 (+.f64 55833770631/5000000000 (.f64 313060547623/100000000000 z)) z)) z))))) (+.f64 607771387771/1000000000000 (.f64 (+.f64 119400905721/10000000000 (.f64 z (+.f64 314690115749/10000000000 (.f64 (+.f64 15234687407/1000000000 z) z)))) z))) x)
(+.f64 (/.f64 (.f64 y (+.f64 b (.f64 z (+.f64 a (.f64 (+.f64 t (.f64 (+.f64 55833770631/5000000000 (.f64 313060547623/100000000000 z)) z)) z))))) (+.f64 607771387771/1000000000000 (.f64 (+.f64 119400905721/10000000000 (.f64 z (+.f64 314690115749/10000000000 (.f64 (+.f64 15234687407/1000000000 z) z)))) z))) x)
(+.f64 (/.f64 (.f64 y (+.f64 b (.f64 z (+.f64 a (.f64 (+.f64 t (.f64 (+.f64 55833770631/5000000000 (.f64 313060547623/100000000000 z)) z)) z))))) (+.f64 607771387771/1000000000000 (.f64 (+.f64 119400905721/10000000000 (.f64 z (+.f64 314690115749/10000000000 (.f64 (+.f64 15234687407/1000000000 z) z)))) z))) x)
x
(+.f64 (/.f64 (.f64 y (+.f64 b (.f64 z (+.f64 a (.f64 (+.f64 t (.f64 (+.f64 55833770631/5000000000 (.f64 313060547623/100000000000 z)) z)) z))))) (+.f64 607771387771/1000000000000 (.f64 (+.f64 119400905721/10000000000 (.f64 z (+.f64 314690115749/10000000000 (.f64 (+.f64 15234687407/1000000000 z) z)))) z))) x)
(+.f64 (/.f64 (.f64 y (+.f64 b (.f64 z (+.f64 a (.f64 (+.f64 t (.f64 (+.f64 55833770631/5000000000 (.f64 313060547623/100000000000 z)) z)) z))))) (+.f64 607771387771/1000000000000 (.f64 (+.f64 119400905721/10000000000 (.f64 z (+.f64 314690115749/10000000000 (.f64 (+.f64 15234687407/1000000000 z) z)))) z))) x)
(+.f64 (/.f64 (.f64 y (+.f64 b (.f64 z (+.f64 a (.f64 (+.f64 t (.f64 (+.f64 55833770631/5000000000 (.f64 313060547623/100000000000 z)) z)) z))))) (+.f64 607771387771/1000000000000 (.f64 (+.f64 119400905721/10000000000 (.f64 z (+.f64 314690115749/10000000000 (.f64 (+.f64 15234687407/1000000000 z) z)))) z))) x)
x
(+.f64 (/.f64 (.f64 y (+.f64 b (.f64 z (+.f64 a (.f64 (+.f64 t (.f64 (+.f64 55833770631/5000000000 (.f64 313060547623/100000000000 z)) z)) z))))) (+.f64 607771387771/1000000000000 (.f64 (+.f64 119400905721/10000000000 (.f64 z (+.f64 314690115749/10000000000 (.f64 (+.f64 15234687407/1000000000 z) z)))) z))) x)
(+.f64 (/.f64 (.f64 y (+.f64 b (.f64 z (+.f64 a (.f64 (+.f64 t (.f64 (+.f64 55833770631/5000000000 (.f64 313060547623/100000000000 z)) z)) z))))) (+.f64 607771387771/1000000000000 (.f64 (+.f64 119400905721/10000000000 (.f64 z (+.f64 314690115749/10000000000 (.f64 (+.f64 15234687407/1000000000 z) z)))) z))) x)
(+.f64 (/.f64 (.f64 y (+.f64 b (.f64 z (+.f64 a (.f64 (+.f64 t (.f64 (+.f64 55833770631/5000000000 (.f64 313060547623/100000000000 z)) z)) z))))) (+.f64 607771387771/1000000000000 (.f64 (+.f64 119400905721/10000000000 (.f64 z (+.f64 314690115749/10000000000 (.f64 (+.f64 15234687407/1000000000 z) z)))) z))) x)
t
(+.f64 t (*.f64 55833770631/5000000000 z))
(+.f64 t (+.f64 (.f64 55833770631/5000000000 z) (.f64 313060547623/100000000000 (pow.f64 z 2))))
(+.f64 t (+.f64 (.f64 55833770631/5000000000 z) (.f64 313060547623/100000000000 (pow.f64 z 2))))
(*.f64 313060547623/100000000000 (pow.f64 z 2))
(+.f64 (.f64 55833770631/5000000000 z) (.f64 313060547623/100000000000 (pow.f64 z 2)))
(+.f64 t (+.f64 (.f64 55833770631/5000000000 z) (.f64 313060547623/100000000000 (pow.f64 z 2))))
(+.f64 t (+.f64 (.f64 55833770631/5000000000 z) (.f64 313060547623/100000000000 (pow.f64 z 2))))
(*.f64 313060547623/100000000000 (pow.f64 z 2))
(+.f64 (.f64 55833770631/5000000000 z) (.f64 313060547623/100000000000 (pow.f64 z 2)))
(+.f64 t (+.f64 (.f64 55833770631/5000000000 z) (.f64 313060547623/100000000000 (pow.f64 z 2))))
(+.f64 t (+.f64 (.f64 55833770631/5000000000 z) (.f64 313060547623/100000000000 (pow.f64 z 2))))
(.f64 (+.f64 (.f64 313060547623/100000000000 z) 55833770631/5000000000) z)
(+.f64 (.f64 (+.f64 (.f64 313060547623/100000000000 z) 55833770631/5000000000) z) t)
(+.f64 (.f64 (+.f64 (.f64 313060547623/100000000000 z) 55833770631/5000000000) z) t)
(+.f64 (.f64 (+.f64 (.f64 313060547623/100000000000 z) 55833770631/5000000000) z) t)
t
(+.f64 (.f64 (+.f64 (.f64 313060547623/100000000000 z) 55833770631/5000000000) z) t)
(+.f64 (.f64 (+.f64 (.f64 313060547623/100000000000 z) 55833770631/5000000000) z) t)
(+.f64 (.f64 (+.f64 (.f64 313060547623/100000000000 z) 55833770631/5000000000) z) t)
t
(+.f64 (.f64 (+.f64 (.f64 313060547623/100000000000 z) 55833770631/5000000000) z) t)
(+.f64 (.f64 (+.f64 (.f64 313060547623/100000000000 z) 55833770631/5000000000) z) t)
(+.f64 (.f64 (+.f64 (.f64 313060547623/100000000000 z) 55833770631/5000000000) z) t)
55833770631/5000000000
(+.f64 (*.f64 313060547623/100000000000 z) 55833770631/5000000000)
(+.f64 (*.f64 313060547623/100000000000 z) 55833770631/5000000000)
(+.f64 (*.f64 313060547623/100000000000 z) 55833770631/5000000000)
(*.f64 313060547623/100000000000 z)
(+.f64 55833770631/5000000000 (*.f64 313060547623/100000000000 z))
(+.f64 55833770631/5000000000 (*.f64 313060547623/100000000000 z))
(+.f64 55833770631/5000000000 (*.f64 313060547623/100000000000 z))
(*.f64 313060547623/100000000000 z)
(+.f64 55833770631/5000000000 (*.f64 313060547623/100000000000 z))
(+.f64 55833770631/5000000000 (*.f64 313060547623/100000000000 z))
(+.f64 55833770631/5000000000 (*.f64 313060547623/100000000000 z))

Outputs
(*.f64 1000000000000/607771387771 b)
(+.f64 (.f64 (-.f64 (.f64 1000000000000/607771387771 a) (.f64 11940090572100000000000000/369386059793087248348441 b)) z) (.f64 1000000000000/607771387771 b))
(fma.f64 (+.f64 (.f64 1000000000000/607771387771 a) (.f64 -11940090572100000000000000/369386059793087248348441 b)) z (*.f64 1000000000000/607771387771 b))
(fma.f64 (fma.f64 1000000000000/607771387771 a (.f64 b -11940090572100000000000000/369386059793087248348441)) z (.f64 1000000000000/607771387771 b))
(+.f64 (.f64 (-.f64 (.f64 1000000000000/607771387771 a) (.f64 11940090572100000000000000/369386059793087248348441 b)) z) (+.f64 (.f64 1000000000000/607771387771 b) (.f64 (pow.f64 z 2) (-.f64 (.f64 1000000000000/607771387771 t) (+.f64 (.f64 31469011574900000000000000/369386059793087248348441 b) (.f64 11940090572100/607771387771 (-.f64 (.f64 1000000000000/607771387771 a) (.f64 11940090572100000000000000/369386059793087248348441 b))))))))
(fma.f64 (+.f64 (.f64 1000000000000/607771387771 a) (.f64 -11940090572100000000000000/369386059793087248348441 b)) z (fma.f64 1000000000000/607771387771 b (.f64 (.f64 z z) (-.f64 (.f64 1000000000000/607771387771 t) (fma.f64 31469011574900000000000000/369386059793087248348441 b (.f64 (+.f64 (.f64 1000000000000/607771387771 a) (.f64 -11940090572100000000000000/369386059793087248348441 b)) 11940090572100/607771387771))))))
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(fma.f64 1000000000000/607771387771 b (.f64 z (+.f64 (.f64 (-.f64 (-.f64 (fma.f64 1000000000000/607771387771 t (.f64 b -31469011574900000000000000/369386059793087248348441)) (.f64 11940090572100000000000000/369386059793087248348441 a)) (.f64 -142565762869951305298410000000000000000/224502278183706222041215714334315011 b)) z) (fma.f64 1000000000000/607771387771 a (.f64 b -11940090572100000000000000/369386059793087248348441)))))
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(fma.f64 (-.f64 11166754126200/607771387771 (fma.f64 31469011574900/607771387771 (+.f64 (.f64 1000000000000/607771387771 a) (.f64 -11940090572100000000000000/369386059793087248348441 b)) (fma.f64 15234687407000000000000000/369386059793087248348441 b (.f64 11940090572100/607771387771 (-.f64 (.f64 1000000000000/607771387771 t) (fma.f64 31469011574900000000000000/369386059793087248348441 b (.f64 (+.f64 (.f64 1000000000000/607771387771 a) (.f64 -11940090572100000000000000/369386059793087248348441 b)) 11940090572100/607771387771))))))) (pow.f64 z 3) (fma.f64 (+.f64 (.f64 1000000000000/607771387771 a) (.f64 -11940090572100000000000000/369386059793087248348441 b)) z (fma.f64 1000000000000/607771387771 b (.f64 (.f64 z z) (-.f64 (.f64 1000000000000/607771387771 t) (fma.f64 31469011574900000000000000/369386059793087248348441 b (.f64 (+.f64 (.f64 1000000000000/607771387771 a) (*.f64 -11940090572100000000000000/369386059793087248348441 b)) 11940090572100/607771387771)))))))
(fma.f64 (-.f64 11166754126200/607771387771 (fma.f64 (fma.f64 1000000000000/607771387771 a (.f64 b -11940090572100000000000000/369386059793087248348441)) 31469011574900/607771387771 (fma.f64 11940090572100/607771387771 (-.f64 (.f64 1000000000000/607771387771 t) (fma.f64 b 31469011574900000000000000/369386059793087248348441 (.f64 (fma.f64 1000000000000/607771387771 a (.f64 b -11940090572100000000000000/369386059793087248348441)) 11940090572100/607771387771))) (.f64 b 15234687407000000000000000/369386059793087248348441)))) (pow.f64 z 3) (fma.f64 (fma.f64 1000000000000/607771387771 a (.f64 b -11940090572100000000000000/369386059793087248348441)) z (fma.f64 (.f64 z z) (-.f64 (.f64 1000000000000/607771387771 t) (fma.f64 b 31469011574900000000000000/369386059793087248348441 (.f64 (fma.f64 1000000000000/607771387771 a (.f64 b -11940090572100000000000000/369386059793087248348441)) 11940090572100/607771387771))) (*.f64 1000000000000/607771387771 b))))
(fma.f64 (-.f64 11166754126200/607771387771 (fma.f64 b 15234687407000000000000000/369386059793087248348441 (fma.f64 11940090572100/607771387771 (-.f64 (-.f64 (fma.f64 1000000000000/607771387771 t (.f64 b -31469011574900000000000000/369386059793087248348441)) (.f64 11940090572100000000000000/369386059793087248348441 a)) (.f64 -142565762869951305298410000000000000000/224502278183706222041215714334315011 b)) (+.f64 (.f64 a 31469011574900000000000000/369386059793087248348441) (.f64 b -375742848418769263000290000000000000000/224502278183706222041215714334315011))))) (pow.f64 z 3) (fma.f64 1000000000000/607771387771 b (.f64 z (+.f64 (.f64 (-.f64 (-.f64 (fma.f64 1000000000000/607771387771 t (.f64 b -31469011574900000000000000/369386059793087248348441)) (.f64 11940090572100000000000000/369386059793087248348441 a)) (.f64 -142565762869951305298410000000000000000/224502278183706222041215714334315011 b)) z) (fma.f64 1000000000000/607771387771 a (*.f64 b -11940090572100000000000000/369386059793087248348441))))))
313060547623/100000000000
(-.f64 313060547623/100000000000 (*.f64 3652704169880641883561/100000000000000000000 (/.f64 1 z)))
(-.f64 313060547623/100000000000 (/.f64 3652704169880641883561/100000000000000000000 z))
(+.f64 313060547623/100000000000 (/.f64 -3652704169880641883561/100000000000000000000 z))
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(-.f64 (+.f64 313060547623/100000000000 (+.f64 (.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (/.f64 t (pow.f64 z 2)) (+.f64 (.f64 1112090185084895700201045470302189/1000000000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (/.f64 a (pow.f64 z 3)))))) (+.f64 (.f64 3652704169880641883561/100000000000000000000 (/.f64 1 z)) (.f64 15234687407/1000000000 (/.f64 (+.f64 45796100221584283915100827016327/100000000000000000000000000000 t) (pow.f64 z 3)))))
(-.f64 (+.f64 313060547623/100000000000 (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (.f64 z z)) (+.f64 (/.f64 t (.f64 z z)) (+.f64 (/.f64 1112090185084895700201045470302189/1000000000000000000000000000000 (pow.f64 z 3)) (/.f64 a (pow.f64 z 3)))))) (+.f64 (/.f64 3652704169880641883561/100000000000000000000 z) (*.f64 15234687407/1000000000 (/.f64 (+.f64 t 45796100221584283915100827016327/100000000000000000000000000000) (pow.f64 z 3)))))
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313060547623/100000000000
(-.f64 313060547623/100000000000 (*.f64 3652704169880641883561/100000000000000000000 (/.f64 1 z)))
(-.f64 313060547623/100000000000 (/.f64 3652704169880641883561/100000000000000000000 z))
(+.f64 313060547623/100000000000 (/.f64 -3652704169880641883561/100000000000000000000 z))
(-.f64 (+.f64 313060547623/100000000000 (+.f64 (.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 1 (pow.f64 z 2))) (/.f64 t (pow.f64 z 2)))) (.f64 3652704169880641883561/100000000000000000000 (/.f64 1 z)))
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(fma.f64 (+.f64 (/.f64 b (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) (*.f64 (/.f64 z (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a))) y x)
(fma.f64 (/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) x)
x
(+.f64 (/.f64 (.f64 y (+.f64 b (.f64 z (+.f64 a (.f64 (+.f64 t (.f64 (+.f64 55833770631/5000000000 (.f64 313060547623/100000000000 z)) z)) z))))) (+.f64 607771387771/1000000000000 (.f64 (+.f64 119400905721/10000000000 (.f64 z (+.f64 314690115749/10000000000 (.f64 (+.f64 15234687407/1000000000 z) z)))) z))) x)
(fma.f64 y (+.f64 (/.f64 b (+.f64 607771387771/1000000000000 (.f64 z (+.f64 119400905721/10000000000 (.f64 z (+.f64 314690115749/10000000000 (.f64 z (+.f64 z 15234687407/1000000000)))))))) (/.f64 z (/.f64 (+.f64 607771387771/1000000000000 (.f64 z (+.f64 119400905721/10000000000 (.f64 z (+.f64 314690115749/10000000000 (.f64 z (+.f64 z 15234687407/1000000000))))))) (+.f64 a (*.f64 z (fma.f64 (fma.f64 313060547623/100000000000 z 55833770631/5000000000) z t)))))) x)
(fma.f64 (+.f64 (/.f64 b (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) (*.f64 (/.f64 z (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a))) y x)
(fma.f64 (/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) x)
(+.f64 (/.f64 (.f64 y (+.f64 b (.f64 z (+.f64 a (.f64 (+.f64 t (.f64 (+.f64 55833770631/5000000000 (.f64 313060547623/100000000000 z)) z)) z))))) (+.f64 607771387771/1000000000000 (.f64 (+.f64 119400905721/10000000000 (.f64 z (+.f64 314690115749/10000000000 (.f64 (+.f64 15234687407/1000000000 z) z)))) z))) x)
(fma.f64 y (+.f64 (/.f64 b (+.f64 607771387771/1000000000000 (.f64 z (+.f64 119400905721/10000000000 (.f64 z (+.f64 314690115749/10000000000 (.f64 z (+.f64 z 15234687407/1000000000)))))))) (/.f64 z (/.f64 (+.f64 607771387771/1000000000000 (.f64 z (+.f64 119400905721/10000000000 (.f64 z (+.f64 314690115749/10000000000 (.f64 z (+.f64 z 15234687407/1000000000))))))) (+.f64 a (*.f64 z (fma.f64 (fma.f64 313060547623/100000000000 z 55833770631/5000000000) z t)))))) x)
(fma.f64 (+.f64 (/.f64 b (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) (*.f64 (/.f64 z (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a))) y x)
(fma.f64 (/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) x)
(+.f64 (/.f64 (.f64 y (+.f64 b (.f64 z (+.f64 a (.f64 (+.f64 t (.f64 (+.f64 55833770631/5000000000 (.f64 313060547623/100000000000 z)) z)) z))))) (+.f64 607771387771/1000000000000 (.f64 (+.f64 119400905721/10000000000 (.f64 z (+.f64 314690115749/10000000000 (.f64 (+.f64 15234687407/1000000000 z) z)))) z))) x)
(fma.f64 y (+.f64 (/.f64 b (+.f64 607771387771/1000000000000 (.f64 z (+.f64 119400905721/10000000000 (.f64 z (+.f64 314690115749/10000000000 (.f64 z (+.f64 z 15234687407/1000000000)))))))) (/.f64 z (/.f64 (+.f64 607771387771/1000000000000 (.f64 z (+.f64 119400905721/10000000000 (.f64 z (+.f64 314690115749/10000000000 (.f64 z (+.f64 z 15234687407/1000000000))))))) (+.f64 a (*.f64 z (fma.f64 (fma.f64 313060547623/100000000000 z 55833770631/5000000000) z t)))))) x)
(fma.f64 (+.f64 (/.f64 b (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) (*.f64 (/.f64 z (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a))) y x)
(fma.f64 (/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) x)
t
(+.f64 t (*.f64 55833770631/5000000000 z))
(+.f64 t (*.f64 z 55833770631/5000000000))
(fma.f64 z 55833770631/5000000000 t)
(+.f64 t (+.f64 (.f64 55833770631/5000000000 z) (.f64 313060547623/100000000000 (pow.f64 z 2))))
(+.f64 t (fma.f64 55833770631/5000000000 z (.f64 (.f64 z z) 313060547623/100000000000)))
(fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t)
(+.f64 t (+.f64 (.f64 55833770631/5000000000 z) (.f64 313060547623/100000000000 (pow.f64 z 2))))
(+.f64 t (fma.f64 55833770631/5000000000 z (.f64 (.f64 z z) 313060547623/100000000000)))
(fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t)
(*.f64 313060547623/100000000000 (pow.f64 z 2))
(.f64 (.f64 z z) 313060547623/100000000000)
(.f64 z (.f64 z 313060547623/100000000000))
(+.f64 (.f64 55833770631/5000000000 z) (.f64 313060547623/100000000000 (pow.f64 z 2)))
(fma.f64 55833770631/5000000000 z (.f64 (.f64 z z) 313060547623/100000000000))
(*.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000))
(+.f64 t (+.f64 (.f64 55833770631/5000000000 z) (.f64 313060547623/100000000000 (pow.f64 z 2))))
(+.f64 t (fma.f64 55833770631/5000000000 z (.f64 (.f64 z z) 313060547623/100000000000)))
(fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t)
(+.f64 t (+.f64 (.f64 55833770631/5000000000 z) (.f64 313060547623/100000000000 (pow.f64 z 2))))
(+.f64 t (fma.f64 55833770631/5000000000 z (.f64 (.f64 z z) 313060547623/100000000000)))
(fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t)
(*.f64 313060547623/100000000000 (pow.f64 z 2))
(.f64 (.f64 z z) 313060547623/100000000000)
(.f64 z (.f64 z 313060547623/100000000000))
(+.f64 (.f64 55833770631/5000000000 z) (.f64 313060547623/100000000000 (pow.f64 z 2)))
(fma.f64 55833770631/5000000000 z (.f64 (.f64 z z) 313060547623/100000000000))
(*.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000))
(+.f64 t (+.f64 (.f64 55833770631/5000000000 z) (.f64 313060547623/100000000000 (pow.f64 z 2))))
(+.f64 t (fma.f64 55833770631/5000000000 z (.f64 (.f64 z z) 313060547623/100000000000)))
(fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t)
(+.f64 t (+.f64 (.f64 55833770631/5000000000 z) (.f64 313060547623/100000000000 (pow.f64 z 2))))
(+.f64 t (fma.f64 55833770631/5000000000 z (.f64 (.f64 z z) 313060547623/100000000000)))
(fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t)
(.f64 (+.f64 (.f64 313060547623/100000000000 z) 55833770631/5000000000) z)
(fma.f64 55833770631/5000000000 z (.f64 (.f64 z z) 313060547623/100000000000))
(*.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000))
(+.f64 (.f64 (+.f64 (.f64 313060547623/100000000000 z) 55833770631/5000000000) z) t)
(+.f64 t (fma.f64 55833770631/5000000000 z (.f64 (.f64 z z) 313060547623/100000000000)))
(fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t)
(+.f64 (.f64 (+.f64 (.f64 313060547623/100000000000 z) 55833770631/5000000000) z) t)
(+.f64 t (fma.f64 55833770631/5000000000 z (.f64 (.f64 z z) 313060547623/100000000000)))
(fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t)
(+.f64 (.f64 (+.f64 (.f64 313060547623/100000000000 z) 55833770631/5000000000) z) t)
(+.f64 t (fma.f64 55833770631/5000000000 z (.f64 (.f64 z z) 313060547623/100000000000)))
(fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t)
t
(+.f64 (.f64 (+.f64 (.f64 313060547623/100000000000 z) 55833770631/5000000000) z) t)
(+.f64 t (fma.f64 55833770631/5000000000 z (.f64 (.f64 z z) 313060547623/100000000000)))
(fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t)
(+.f64 (.f64 (+.f64 (.f64 313060547623/100000000000 z) 55833770631/5000000000) z) t)
(+.f64 t (fma.f64 55833770631/5000000000 z (.f64 (.f64 z z) 313060547623/100000000000)))
(fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t)
(+.f64 (.f64 (+.f64 (.f64 313060547623/100000000000 z) 55833770631/5000000000) z) t)
(+.f64 t (fma.f64 55833770631/5000000000 z (.f64 (.f64 z z) 313060547623/100000000000)))
(fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t)
t
(+.f64 (.f64 (+.f64 (.f64 313060547623/100000000000 z) 55833770631/5000000000) z) t)
(+.f64 t (fma.f64 55833770631/5000000000 z (.f64 (.f64 z z) 313060547623/100000000000)))
(fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t)
(+.f64 (.f64 (+.f64 (.f64 313060547623/100000000000 z) 55833770631/5000000000) z) t)
(+.f64 t (fma.f64 55833770631/5000000000 z (.f64 (.f64 z z) 313060547623/100000000000)))
(fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t)
(+.f64 (.f64 (+.f64 (.f64 313060547623/100000000000 z) 55833770631/5000000000) z) t)
(+.f64 t (fma.f64 55833770631/5000000000 z (.f64 (.f64 z z) 313060547623/100000000000)))
(fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t)
55833770631/5000000000
(+.f64 (*.f64 313060547623/100000000000 z) 55833770631/5000000000)
(fma.f64 313060547623/100000000000 z 55833770631/5000000000)
(fma.f64 z 313060547623/100000000000 55833770631/5000000000)
(+.f64 (*.f64 313060547623/100000000000 z) 55833770631/5000000000)
(fma.f64 313060547623/100000000000 z 55833770631/5000000000)
(fma.f64 z 313060547623/100000000000 55833770631/5000000000)
(+.f64 (*.f64 313060547623/100000000000 z) 55833770631/5000000000)
(fma.f64 313060547623/100000000000 z 55833770631/5000000000)
(fma.f64 z 313060547623/100000000000 55833770631/5000000000)
(*.f64 313060547623/100000000000 z)
(*.f64 z 313060547623/100000000000)
(+.f64 55833770631/5000000000 (*.f64 313060547623/100000000000 z))
(fma.f64 313060547623/100000000000 z 55833770631/5000000000)
(fma.f64 z 313060547623/100000000000 55833770631/5000000000)
(+.f64 55833770631/5000000000 (*.f64 313060547623/100000000000 z))
(fma.f64 313060547623/100000000000 z 55833770631/5000000000)
(fma.f64 z 313060547623/100000000000 55833770631/5000000000)
(+.f64 55833770631/5000000000 (*.f64 313060547623/100000000000 z))
(fma.f64 313060547623/100000000000 z 55833770631/5000000000)
(fma.f64 z 313060547623/100000000000 55833770631/5000000000)
(*.f64 313060547623/100000000000 z)
(*.f64 z 313060547623/100000000000)
(+.f64 55833770631/5000000000 (*.f64 313060547623/100000000000 z))
(fma.f64 313060547623/100000000000 z 55833770631/5000000000)
(fma.f64 z 313060547623/100000000000 55833770631/5000000000)
(+.f64 55833770631/5000000000 (*.f64 313060547623/100000000000 z))
(fma.f64 313060547623/100000000000 z 55833770631/5000000000)
(fma.f64 z 313060547623/100000000000 55833770631/5000000000)
(+.f64 55833770631/5000000000 (*.f64 313060547623/100000000000 z))
(fma.f64 313060547623/100000000000 z 55833770631/5000000000)
(fma.f64 z 313060547623/100000000000 55833770631/5000000000)

eval136.0ms (1.9%)

Compiler: Compiled 6203 to 3833 computations (38.2% saved)

prune305.0ms (4.2%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	166	11	177
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	168	11	179

Error

0.0b

Counts

179 → 11

Alt Table

Click to see full alt table

Status	Error	Program
	31.7b	(fma.f64 y (fma.f64 (fma.f64 1000000000000/607771387771 a (.f64 b -11940090572100000000000000/369386059793087248348441)) z (.f64 1000000000000/607771387771 b)) x)
	46.3b	(*.f64 (cbrt.f64 (pow.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) x) 2)) (cbrt.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) x)))
	31.7b	(pow.f64 (cbrt.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) x)) 3)
	30.2b	(fma.f64 1000000000000/607771387771 (*.f64 b y) x)
	31.1b	(fma.f64 y (*.f64 (/.f64 1 (sqrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))) (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (sqrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)))) x)
	26.3b	(fma.f64 (/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) (.f64 a z) (fma.f64 y (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) (.f64 z z) (/.f64 b (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))) x))
	26.8b	(fma.f64 -3652704169880641883561/100000000000000000000 (/.f64 y z) (+.f64 (.f64 (/.f64 y (.f64 z z)) (-.f64 (+.f64 t 45796100221584283915100827016327/100000000000000000000000000000) (/.f64 (-.f64 (-.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 t -15234687407/1000000000)) a) z))) (fma.f64 313060547623/100000000000 y x)))
	32.4b	(+.f64 (/.f64 (.f64 y (+.f64 b (.f64 z (+.f64 a (.f64 (+.f64 t (.f64 (+.f64 55833770631/5000000000 (.f64 313060547623/100000000000 z)) z)) z))))) (+.f64 607771387771/1000000000000 (.f64 (+.f64 119400905721/10000000000 (.f64 z (+.f64 314690115749/10000000000 (.f64 (+.f64 15234687407/1000000000 z) z)))) z))) x)
▶	19.5b	(+.f64 (*.f64 313060547623/100000000000 y) x)
	26.3b	(fma.f64 y (+.f64 313060547623/100000000000 (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (+.f64 (/.f64 (/.f64 t z) z) (/.f64 -3652704169880641883561/100000000000000000000 z)))) x)
	25.3b	(fma.f64 -3652704169880641883561/100000000000000000000 (/.f64 y z) (fma.f64 313060547623/100000000000 y (fma.f64 (/.f64 y z) (/.f64 (+.f64 t 45796100221584283915100827016327/100000000000000000000000000000) z) x)))

Compiler

Compiled 790 to 528 computations (33.2% saved)

localize3.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 313060547623/100000000000 y) x)
✓	0.1b	(*.f64 313060547623/100000000000 y)

series5.0ms (0.1%)

Counts

2 → 6

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	y	@	inf	(*.f64 313060547623/100000000000 y)
1.0ms	y	@	0	(*.f64 313060547623/100000000000 y)
1.0ms	y	@	-inf	(*.f64 313060547623/100000000000 y)
0.0ms	x	@	0	(+.f64 (*.f64 313060547623/100000000000 y) x)
0.0ms	y	@	inf	(+.f64 (*.f64 313060547623/100000000000 y) x)

rewrite41.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

687×	`pow1_binary64`
642×	`add-log-exp_binary64`
642×	`log1p-expm1-u_binary64`
642×	`expm1-log1p-u_binary64`
68×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	131	9
2	1728	9

Stop Event

1×	node limit

Counts

2 → 48

Calls

Call 1

Inputs
(*.f64 313060547623/100000000000 y)
(+.f64 (*.f64 313060547623/100000000000 y) x)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 313060547623/100000000000 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 313060547623/100000000000 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 313060547623/100000000000 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 313060547623/100000000000 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 y 3) 30682095812842786715169336002493367/1000000000000000000000000000000000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (.f64 y y) 98006906478012650950129/10000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 313060547623/100000000000) y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 313060547623/100000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 y 3) 30682095812842786715169336002493367/1000000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 313060547623/100000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 313060547623/100000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 313060547623/100000000000 y)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 313060547623/100000000000 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (.f64 y y) 98006906478012650950129/10000000000000000000000) (-.f64 (.f64 313060547623/100000000000 y) x)) (/.f64 (.f64 x x) (-.f64 (.f64 313060547623/100000000000 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 313060547623/100000000000 y x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 313060547623/100000000000 y x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 313060547623/100000000000 y x)) (pow.f64 (cbrt.f64 (fma.f64 313060547623/100000000000 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 313060547623/100000000000 y x)) 2) (cbrt.f64 (fma.f64 313060547623/100000000000 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 313060547623/100000000000 y x)) (sqrt.f64 (fma.f64 313060547623/100000000000 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 (pow.f64 y 3) 30682095812842786715169336002493367/1000000000000000000000000000000000) (pow.f64 x 3)) (/.f64 1 (+.f64 (.f64 (.f64 y y) 98006906478012650950129/10000000000000000000000) (.f64 x (-.f64 x (.f64 313060547623/100000000000 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 (.f64 y y) 98006906478012650950129/10000000000000000000000) (.f64 x x)) (/.f64 1 (-.f64 (.f64 313060547623/100000000000 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (.f64 (.f64 y y) 98006906478012650950129/10000000000000000000000) (.f64 x (-.f64 x (.f64 313060547623/100000000000 y)))) (+.f64 (.f64 (pow.f64 y 3) 30682095812842786715169336002493367/1000000000000000000000000000000000) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (.f64 313060547623/100000000000 y) x) (-.f64 (.f64 (.f64 y y) 98006906478012650950129/10000000000000000000000) (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (pow.f64 y 3) 30682095812842786715169336002493367/1000000000000000000000000000000000) (pow.f64 x 3)) (+.f64 (.f64 (.f64 y y) 98006906478012650950129/10000000000000000000000) (.f64 x (-.f64 x (.f64 313060547623/100000000000 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (pow.f64 y 3) 30682095812842786715169336002493367/1000000000000000000000000000000000) (pow.f64 x 3)) (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 y y) 98006906478012650950129/10000000000000000000000) (.f64 313060547623/100000000000 (.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 y y) 98006906478012650950129/10000000000000000000000) (.f64 x x)) (-.f64 (.f64 313060547623/100000000000 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (.f64 (pow.f64 y 3) 30682095812842786715169336002493367/1000000000000000000000000000000000) (pow.f64 x 3))) (neg.f64 (+.f64 (.f64 (.f64 y y) 98006906478012650950129/10000000000000000000000) (.f64 x (-.f64 x (.f64 313060547623/100000000000 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (.f64 (.f64 y y) 98006906478012650950129/10000000000000000000000) (.f64 x x))) (neg.f64 (-.f64 (.f64 313060547623/100000000000 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) 98006906478012650950129/10000000000000000000000)) (-.f64 x (.f64 313060547623/100000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 313060547623/100000000000 y x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 313060547623/100000000000 y x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 313060547623/100000000000 y x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 313060547623/100000000000 y x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 313060547623/100000000000 y x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 313060547623/100000000000 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 313060547623/100000000000 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 313060547623/100000000000 y x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 313060547623/100000000000 y x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 313060547623/100000000000 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 313060547623/100000000000 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (.f64 313060547623/100000000000 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (.f64 313060547623/100000000000 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 313060547623/100000000000 y)) 2) (cbrt.f64 (.f64 313060547623/100000000000 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 313060547623/100000000000 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 313060547623/100000000000 y)) (sqrt.f64 (.f64 313060547623/100000000000 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 313060547623/100000000000 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 313060547623/100000000000 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 313060547623/100000000000 y x)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 313060547623/100000000000 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 313060547623/100000000000 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 313060547623/100000000000 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 313060547623/100000000000 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 y 3) 30682095812842786715169336002493367/1000000000000000000000000000000000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 y y) 98006906478012650950129/10000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 313060547623/100000000000) y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 313060547623/100000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) 30682095812842786715169336002493367/1000000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 313060547623/100000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 313060547623/100000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 313060547623/100000000000 y)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 313060547623/100000000000 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 y y) 98006906478012650950129/10000000000000000000000) (-.f64 (*.f64 313060547623/100000000000 y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 313060547623/100000000000 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 313060547623/100000000000 y x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 313060547623/100000000000 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 313060547623/100000000000 y x)) (pow.f64 (cbrt.f64 (fma.f64 313060547623/100000000000 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 313060547623/100000000000 y x)) 2) (cbrt.f64 (fma.f64 313060547623/100000000000 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 313060547623/100000000000 y x)) (sqrt.f64 (fma.f64 313060547623/100000000000 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 y 3) 30682095812842786715169336002493367/1000000000000000000000000000000000) (pow.f64 x 3)) (/.f64 1 (+.f64 (*.f64 (*.f64 y y) 98006906478012650950129/10000000000000000000000) (*.f64 x (-.f64 x (*.f64 313060547623/100000000000 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (*.f64 y y) 98006906478012650950129/10000000000000000000000) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 313060547623/100000000000 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (*.f64 y y) 98006906478012650950129/10000000000000000000000) (*.f64 x (-.f64 x (*.f64 313060547623/100000000000 y)))) (+.f64 (*.f64 (pow.f64 y 3) 30682095812842786715169336002493367/1000000000000000000000000000000000) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 313060547623/100000000000 y) x) (-.f64 (*.f64 (*.f64 y y) 98006906478012650950129/10000000000000000000000) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 y 3) 30682095812842786715169336002493367/1000000000000000000000000000000000) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 y y) 98006906478012650950129/10000000000000000000000) (*.f64 x (-.f64 x (*.f64 313060547623/100000000000 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 y 3) 30682095812842786715169336002493367/1000000000000000000000000000000000) (pow.f64 x 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 y y) 98006906478012650950129/10000000000000000000000) (*.f64 313060547623/100000000000 (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 y y) 98006906478012650950129/10000000000000000000000) (*.f64 x x)) (-.f64 (*.f64 313060547623/100000000000 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 y 3) 30682095812842786715169336002493367/1000000000000000000000000000000000) (pow.f64 x 3))) (neg.f64 (+.f64 (*.f64 (*.f64 y y) 98006906478012650950129/10000000000000000000000) (*.f64 x (-.f64 x (*.f64 313060547623/100000000000 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (*.f64 y y) 98006906478012650950129/10000000000000000000000) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 313060547623/100000000000 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 98006906478012650950129/10000000000000000000000)) (-.f64 x (*.f64 313060547623/100000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 313060547623/100000000000 y x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 313060547623/100000000000 y x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 313060547623/100000000000 y x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 313060547623/100000000000 y x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 313060547623/100000000000 y x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 313060547623/100000000000 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 313060547623/100000000000 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 313060547623/100000000000 y x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 313060547623/100000000000 y x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 313060547623/100000000000 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 313060547623/100000000000 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 313060547623/100000000000 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 313060547623/100000000000 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 313060547623/100000000000 y)) 2) (cbrt.f64 (*.f64 313060547623/100000000000 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 313060547623/100000000000 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 313060547623/100000000000 y)) (sqrt.f64 (*.f64 313060547623/100000000000 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 313060547623/100000000000 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 313060547623/100000000000 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 313060547623/100000000000 y x)))))))

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15
1	6	15

Stop Event

1×

saturated

Counts

54 → 50

Calls

Call 1

Inputs
x
(*.f64 313060547623/100000000000 y)
(*.f64 313060547623/100000000000 y)
(*.f64 313060547623/100000000000 y)
x
x

Outputs
x
(*.f64 313060547623/100000000000 y)
(*.f64 313060547623/100000000000 y)
(*.f64 313060547623/100000000000 y)
x
x

eval13.0ms (0.2%)

Compiler: Compiled 520 to 340 computations (34.6% saved)

prune52.0ms (0.7%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	48	2	50
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	48	13	61

Error

0.0b

Counts

61 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	31.7b	(fma.f64 y (fma.f64 (fma.f64 1000000000000/607771387771 a (.f64 b -11940090572100000000000000/369386059793087248348441)) z (.f64 1000000000000/607771387771 b)) x)
	46.3b	(*.f64 (cbrt.f64 (pow.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) x) 2)) (cbrt.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) x)))
	31.7b	(pow.f64 (cbrt.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) x)) 3)
	30.2b	(fma.f64 1000000000000/607771387771 (*.f64 b y) x)
	31.1b	(fma.f64 y (*.f64 (/.f64 1 (sqrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))) (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (sqrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)))) x)
	26.3b	(fma.f64 (/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) (.f64 a z) (fma.f64 y (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) (.f64 z z) (/.f64 b (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))) x))
	26.8b	(fma.f64 -3652704169880641883561/100000000000000000000 (/.f64 y z) (+.f64 (.f64 (/.f64 y (.f64 z z)) (-.f64 (+.f64 t 45796100221584283915100827016327/100000000000000000000000000000) (/.f64 (-.f64 (-.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 t -15234687407/1000000000)) a) z))) (fma.f64 313060547623/100000000000 y x)))
	32.4b	(+.f64 (/.f64 (.f64 y (+.f64 b (.f64 z (+.f64 a (.f64 (+.f64 t (.f64 (+.f64 55833770631/5000000000 (.f64 313060547623/100000000000 z)) z)) z))))) (+.f64 607771387771/1000000000000 (.f64 (+.f64 119400905721/10000000000 (.f64 z (+.f64 314690115749/10000000000 (.f64 (+.f64 15234687407/1000000000 z) z)))) z))) x)
▶	19.8b	(fma.f64 (pow.f64 (cbrt.f64 (.f64 313060547623/100000000000 y)) 2) (cbrt.f64 (.f64 313060547623/100000000000 y)) x)
	25.3b	(fma.f64 -3652704169880641883561/100000000000000000000 (/.f64 y z) (fma.f64 313060547623/100000000000 y (fma.f64 (/.f64 y z) (/.f64 (+.f64 t 45796100221584283915100827016327/100000000000000000000000000000) z) x)))
✓	19.5b	(+.f64 (*.f64 313060547623/100000000000 y) x)
	41.2b	(+.f64 (pow.f64 (sqrt.f64 (*.f64 313060547623/100000000000 y)) 2) x)
	26.3b	(fma.f64 y (+.f64 313060547623/100000000000 (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (+.f64 (/.f64 (/.f64 t z) z) (/.f64 -3652704169880641883561/100000000000000000000 z)))) x)

Compiler

Compiled 843 to 573 computations (32% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 313060547623/100000000000 y)
✓	0.1b	(fma.f64 (pow.f64 (cbrt.f64 (.f64 313060547623/100000000000 y)) 2) (cbrt.f64 (.f64 313060547623/100000000000 y)) x)
✓	0.5b	(pow.f64 (cbrt.f64 (*.f64 313060547623/100000000000 y)) 2)
✓	0.6b	(cbrt.f64 (*.f64 313060547623/100000000000 y))

series15.0ms (0.2%)

Counts

3 → 15

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	y	@	0	(cbrt.f64 (*.f64 313060547623/100000000000 y))
2.0ms	x	@	0	(fma.f64 (pow.f64 (cbrt.f64 (.f64 313060547623/100000000000 y)) 2) (cbrt.f64 (.f64 313060547623/100000000000 y)) x)
1.0ms	y	@	-inf	(cbrt.f64 (*.f64 313060547623/100000000000 y))
1.0ms	y	@	-inf	(pow.f64 (cbrt.f64 (*.f64 313060547623/100000000000 y)) 2)
1.0ms	y	@	-inf	(fma.f64 (pow.f64 (cbrt.f64 (.f64 313060547623/100000000000 y)) 2) (cbrt.f64 (.f64 313060547623/100000000000 y)) x)

rewrite48.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

733×	`pow1_binary64`
679×	`add-log-exp_binary64`
679×	`log1p-expm1-u_binary64`
679×	`expm1-log1p-u_binary64`
85×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	22
1	183	20
2	1927	20

Stop Event

1×	node limit

Counts

3 → 64

Calls

Call 1

Inputs

(cbrt.f64 (*.f64 313060547623/100000000000 y))

(pow.f64 (cbrt.f64 (*.f64 313060547623/100000000000 y)) 2)

(fma.f64 (pow.f64 (cbrt.f64 (*.f64 313060547623/100000000000 y)) 2) (cbrt.f64 (*.f64 313060547623/100000000000 y)) x)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 313060547623/100000000000 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 313060547623/100000000000 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 313060547623/100000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 313060547623/100000000000 y))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 313060547623/100000000000 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 313060547623/100000000000) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 y) (cbrt.f64 313060547623/100000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 313060547623/100000000000 y))) 2) (cbrt.f64 (cbrt.f64 (*.f64 313060547623/100000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 313060547623/100000000000 y) 1/6) (pow.f64 (*.f64 313060547623/100000000000 y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 313060547623/100000000000 y)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 313060547623/100000000000 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 313060547623/100000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 313060547623/100000000000 y)) 1/3) (pow.f64 (sqrt.f64 (*.f64 313060547623/100000000000 y)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 313060547623/100000000000 y) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 313060547623/100000000000 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 313060547623/100000000000 y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 313060547623/100000000000 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 313060547623/100000000000 y) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 313060547623/100000000000 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (*.f64 313060547623/100000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 313060547623/100000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 313060547623/100000000000 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 313060547623/100000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 313060547623/100000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 313060547623/100000000000 y))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 313060547623/100000000000 y)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 313060547623/100000000000 y)) (cbrt.f64 (*.f64 313060547623/100000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 313060547623/100000000000 y)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (*.f64 313060547623/100000000000 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 313060547623/100000000000) (*.f64 (cbrt.f64 y) (cbrt.f64 (*.f64 313060547623/100000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 98006906478012650950129/10000000000000000000000) (pow.f64 (cbrt.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 313060547623/100000000000 y))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 313060547623/100000000000 y)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 313060547623/100000000000 y))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 313060547623/100000000000 y))) (cbrt.f64 (*.f64 313060547623/100000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 313060547623/100000000000 y)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 313060547623/100000000000 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 313060547623/100000000000 y) 1/6) (*.f64 (pow.f64 (*.f64 313060547623/100000000000 y) 1/6) (cbrt.f64 (*.f64 313060547623/100000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 313060547623/100000000000 y)) (pow.f64 (*.f64 313060547623/100000000000 y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 313060547623/100000000000 y)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 313060547623/100000000000 y))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 313060547623/100000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 313060547623/100000000000 y)) (cbrt.f64 313060547623/100000000000)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 313060547623/100000000000 y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 313060547623/100000000000 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 313060547623/100000000000 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 98006906478012650950129/10000000000000000000000 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (*.f64 313060547623/100000000000 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 313060547623/100000000000 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 313060547623/100000000000 y)) 2)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 313060547623/100000000000 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 313060547623/100000000000 y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 313060547623/100000000000 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 313060547623/100000000000 y x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 313060547623/100000000000 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 313060547623/100000000000 y x)) (pow.f64 (cbrt.f64 (fma.f64 313060547623/100000000000 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 313060547623/100000000000 y x)) 2) (cbrt.f64 (fma.f64 313060547623/100000000000 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 313060547623/100000000000 y x)) (sqrt.f64 (fma.f64 313060547623/100000000000 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 313060547623/100000000000 y) 3) (pow.f64 x 3)) (+.f64 (*.f64 98006906478012650950129/10000000000000000000000 (*.f64 y y)) (-.f64 (*.f64 x x) (*.f64 (*.f64 313060547623/100000000000 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 98006906478012650950129/10000000000000000000000 (*.f64 y y)) (*.f64 x x)) (-.f64 (*.f64 313060547623/100000000000 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 313060547623/100000000000 y x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 313060547623/100000000000 y x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 313060547623/100000000000 y x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 313060547623/100000000000 y x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 313060547623/100000000000 y x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 313060547623/100000000000 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 313060547623/100000000000 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 313060547623/100000000000 y x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 313060547623/100000000000 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 313060547623/100000000000 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 313060547623/100000000000 y x)))))))

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`fma-def_binary64`
1×	`+-commutative_binary64`
1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	54
1	9	54
2	10	54

Stop Event

1×

saturated

Counts

79 → 67

Calls

Call 1

Inputs
x
x
x
(*.f64 313060547623/100000000000 y)
(+.f64 (*.f64 313060547623/100000000000 y) x)
(+.f64 (*.f64 313060547623/100000000000 y) x)
(+.f64 (*.f64 313060547623/100000000000 y) x)
x
(+.f64 (*.f64 313060547623/100000000000 y) x)
(+.f64 (*.f64 313060547623/100000000000 y) x)
(+.f64 (*.f64 313060547623/100000000000 y) x)
x
(+.f64 (*.f64 313060547623/100000000000 y) x)
(+.f64 (*.f64 313060547623/100000000000 y) x)
(+.f64 (*.f64 313060547623/100000000000 y) x)

Outputs
x
x
x
(*.f64 313060547623/100000000000 y)
(+.f64 (*.f64 313060547623/100000000000 y) x)
(fma.f64 313060547623/100000000000 y x)
(+.f64 (*.f64 313060547623/100000000000 y) x)
(fma.f64 313060547623/100000000000 y x)
(+.f64 (*.f64 313060547623/100000000000 y) x)
(fma.f64 313060547623/100000000000 y x)
x
(+.f64 (*.f64 313060547623/100000000000 y) x)
(fma.f64 313060547623/100000000000 y x)
(+.f64 (*.f64 313060547623/100000000000 y) x)
(fma.f64 313060547623/100000000000 y x)
(+.f64 (*.f64 313060547623/100000000000 y) x)
(fma.f64 313060547623/100000000000 y x)
x
(+.f64 (*.f64 313060547623/100000000000 y) x)
(fma.f64 313060547623/100000000000 y x)
(+.f64 (*.f64 313060547623/100000000000 y) x)
(fma.f64 313060547623/100000000000 y x)
(+.f64 (*.f64 313060547623/100000000000 y) x)
(fma.f64 313060547623/100000000000 y x)

eval59.0ms (0.8%)

Compiler: Compiled 1612 to 1244 computations (22.8% saved)

prune198.0ms (2.8%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	112	2	114
Fresh	0	11	11
Picked	0	1	1
Done	0	1	1
Total	112	15	127

Error

0.0b

Counts

127 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	31.7b	(fma.f64 y (fma.f64 (fma.f64 1000000000000/607771387771 a (.f64 b -11940090572100000000000000/369386059793087248348441)) z (.f64 1000000000000/607771387771 b)) x)
	46.3b	(*.f64 (cbrt.f64 (pow.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) x) 2)) (cbrt.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) x)))
	31.7b	(pow.f64 (cbrt.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) x)) 3)
	30.2b	(fma.f64 1000000000000/607771387771 (*.f64 b y) x)
	31.1b	(fma.f64 y (*.f64 (/.f64 1 (sqrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))) (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (sqrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)))) x)
	26.3b	(fma.f64 (/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) (.f64 a z) (fma.f64 y (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) (.f64 z z) (/.f64 b (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))) x))
	26.8b	(fma.f64 -3652704169880641883561/100000000000000000000 (/.f64 y z) (+.f64 (.f64 (/.f64 y (.f64 z z)) (-.f64 (+.f64 t 45796100221584283915100827016327/100000000000000000000000000000) (/.f64 (-.f64 (-.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 t -15234687407/1000000000)) a) z))) (fma.f64 313060547623/100000000000 y x)))
	32.4b	(+.f64 (/.f64 (.f64 y (+.f64 b (.f64 z (+.f64 a (.f64 (+.f64 t (.f64 (+.f64 55833770631/5000000000 (.f64 313060547623/100000000000 z)) z)) z))))) (+.f64 607771387771/1000000000000 (.f64 (+.f64 119400905721/10000000000 (.f64 z (+.f64 314690115749/10000000000 (.f64 (+.f64 15234687407/1000000000 z) z)))) z))) x)
✓	19.8b	(fma.f64 (pow.f64 (cbrt.f64 (.f64 313060547623/100000000000 y)) 2) (cbrt.f64 (.f64 313060547623/100000000000 y)) x)
	25.3b	(fma.f64 -3652704169880641883561/100000000000000000000 (/.f64 y z) (fma.f64 313060547623/100000000000 y (fma.f64 (/.f64 y z) (/.f64 (+.f64 t 45796100221584283915100827016327/100000000000000000000000000000) z) x)))
✓	19.5b	(+.f64 (*.f64 313060547623/100000000000 y) x)
	41.2b	(+.f64 (pow.f64 (sqrt.f64 (*.f64 313060547623/100000000000 y)) 2) x)
▶	19.8b	(fma.f64 (.f64 (cbrt.f64 313060547623/100000000000) (.f64 (cbrt.f64 y) (cbrt.f64 (.f64 313060547623/100000000000 y)))) (cbrt.f64 (.f64 313060547623/100000000000 y)) x)
	26.3b	(fma.f64 y (+.f64 313060547623/100000000000 (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (+.f64 (/.f64 (/.f64 t z) z) (/.f64 -3652704169880641883561/100000000000000000000 z)))) x)
	19.8b	(fma.f64 (pow.f64 (cbrt.f64 (.f64 313060547623/100000000000 y)) 2) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 313060547623/100000000000 y))) 2) (cbrt.f64 (cbrt.f64 (.f64 313060547623/100000000000 y)))) x)

Compiler

Compiled 923 to 640 computations (30.7% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (cbrt.f64 y) (cbrt.f64 (.f64 313060547623/100000000000 y)))
	0.6b	(cbrt.f64 (*.f64 313060547623/100000000000 y))
✓	0.6b	(cbrt.f64 y)
✓	1.0b	(cbrt.f64 313060547623/100000000000)

series4.0ms (0.1%)

Counts

3 → 0

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	(.f64 (cbrt.f64 y) (cbrt.f64 (.f64 313060547623/100000000000 y)))
1.0ms	y	@	-inf	(cbrt.f64 y)
0.0ms	y	@	0	(cbrt.f64 y)
0.0ms	y	@	0	(.f64 (cbrt.f64 y) (cbrt.f64 (.f64 313060547623/100000000000 y)))
0.0ms	y	@	inf	(cbrt.f64 y)

rewrite75.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

649×	`pow1_binary64`
601×	`add-log-exp_binary64`
601×	`log1p-expm1-u_binary64`
601×	`expm1-log1p-u_binary64`
71×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	155	15
2	1695	15

Stop Event

1×	node limit

Counts

3 → 47

Calls

Call 1

Inputs
(cbrt.f64 313060547623/100000000000)
(cbrt.f64 y)
(.f64 (cbrt.f64 y) (cbrt.f64 (.f64 313060547623/100000000000 y)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 313060547623/100000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 313060547623/100000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 313060547623/100000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 313060547623/100000000000)) (cbrt.f64 (cbrt.f64 98006906478012650950129/10000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 98006906478012650950129/10000000000000000000000)) (cbrt.f64 (cbrt.f64 313060547623/100000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 313060547623/100000000000 1/6) (pow.f64 313060547623/100000000000 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 313060547623/100000000000 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 313060547623/100000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 313060547623/100000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 313060547623/100000000000 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 98006906478012650950129/10000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 313060547623/100000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 313060547623/100000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 313060547623/100000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 313060547623/100000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 313060547623/100000000000)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2) (cbrt.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y 1/6) (pow.f64 y 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 y) 2) 1/3) (cbrt.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 y) 1/3) (pow.f64 (sqrt.f64 y) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 y 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 y 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 y)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 y (*.f64 313060547623/100000000000 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (*.f64 313060547623/100000000000 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (*.f64 313060547623/100000000000 y)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (*.f64 313060547623/100000000000 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 y (*.f64 313060547623/100000000000 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y (*.f64 313060547623/100000000000 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 y (*.f64 313060547623/100000000000 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 y (*.f64 313060547623/100000000000 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 y (*.f64 313060547623/100000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 y (*.f64 313060547623/100000000000 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 y (*.f64 313060547623/100000000000 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 y (*.f64 313060547623/100000000000 y)))))))))

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

47 → 47

Calls

Call 1

Inputs

Outputs

eval54.0ms (0.8%)

Compiler: Compiled 1805 to 1327 computations (26.5% saved)

prune163.0ms (2.3%)

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	1	11	12
Picked	0	1	1
Done	0	2	2
Total	93	15	108

Error

0.0b

Counts

108 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	31.7b	(fma.f64 y (fma.f64 (fma.f64 1000000000000/607771387771 a (.f64 b -11940090572100000000000000/369386059793087248348441)) z (.f64 1000000000000/607771387771 b)) x)
	46.3b	(*.f64 (cbrt.f64 (pow.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) x) 2)) (cbrt.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) x)))
	31.7b	(pow.f64 (cbrt.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) x)) 3)
	30.2b	(fma.f64 1000000000000/607771387771 (*.f64 b y) x)
	19.8b	(fma.f64 (.f64 (cbrt.f64 313060547623/100000000000) (.f64 (cbrt.f64 y) (cbrt.f64 (.f64 313060547623/100000000000 y)))) (.f64 (cbrt.f64 313060547623/100000000000) (cbrt.f64 y)) x)
	31.1b	(fma.f64 y (*.f64 (/.f64 1 (sqrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))) (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (sqrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)))) x)
	26.3b	(fma.f64 (/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) (.f64 a z) (fma.f64 y (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) (.f64 z z) (/.f64 b (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))) x))
	26.8b	(fma.f64 -3652704169880641883561/100000000000000000000 (/.f64 y z) (+.f64 (.f64 (/.f64 y (.f64 z z)) (-.f64 (+.f64 t 45796100221584283915100827016327/100000000000000000000000000000) (/.f64 (-.f64 (-.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 t -15234687407/1000000000)) a) z))) (fma.f64 313060547623/100000000000 y x)))
	32.4b	(+.f64 (/.f64 (.f64 y (+.f64 b (.f64 z (+.f64 a (.f64 (+.f64 t (.f64 (+.f64 55833770631/5000000000 (.f64 313060547623/100000000000 z)) z)) z))))) (+.f64 607771387771/1000000000000 (.f64 (+.f64 119400905721/10000000000 (.f64 z (+.f64 314690115749/10000000000 (.f64 (+.f64 15234687407/1000000000 z) z)))) z))) x)
✓	19.8b	(fma.f64 (pow.f64 (cbrt.f64 (.f64 313060547623/100000000000 y)) 2) (cbrt.f64 (.f64 313060547623/100000000000 y)) x)
	25.3b	(fma.f64 -3652704169880641883561/100000000000000000000 (/.f64 y z) (fma.f64 313060547623/100000000000 y (fma.f64 (/.f64 y z) (/.f64 (+.f64 t 45796100221584283915100827016327/100000000000000000000000000000) z) x)))
✓	19.5b	(+.f64 (*.f64 313060547623/100000000000 y) x)
✓	19.8b	(fma.f64 (.f64 (cbrt.f64 313060547623/100000000000) (.f64 (cbrt.f64 y) (cbrt.f64 (.f64 313060547623/100000000000 y)))) (cbrt.f64 (.f64 313060547623/100000000000 y)) x)
	26.3b	(fma.f64 y (+.f64 313060547623/100000000000 (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (+.f64 (/.f64 (/.f64 t z) z) (/.f64 -3652704169880641883561/100000000000000000000 z)))) x)
	19.8b	(fma.f64 (pow.f64 (cbrt.f64 (.f64 313060547623/100000000000 y)) 2) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 313060547623/100000000000 y))) 2) (cbrt.f64 (cbrt.f64 (.f64 313060547623/100000000000 y)))) x)

Compiler

Compiled 485 to 338 computations (30.3% saved)

regimes433.0ms (6%)

Accuracy

Total -63.0b remaining (-22177.1%)

Threshold costs -63.0b (-22177.1%)

Counts

18 → 3

Calls

Call 1

Inputs
(fma.f64 (.f64 (cbrt.f64 313060547623/100000000000) (.f64 (cbrt.f64 y) (cbrt.f64 (.f64 313060547623/100000000000 y)))) (.f64 (cbrt.f64 313060547623/100000000000) (cbrt.f64 y)) x)
(fma.f64 (.f64 (cbrt.f64 313060547623/100000000000) (.f64 (cbrt.f64 y) (cbrt.f64 (.f64 313060547623/100000000000 y)))) (cbrt.f64 (.f64 313060547623/100000000000 y)) x)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 313060547623/100000000000 y)) 2) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 313060547623/100000000000 y))) 2) (cbrt.f64 (cbrt.f64 (.f64 313060547623/100000000000 y)))) x)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 313060547623/100000000000 y)) 2) (cbrt.f64 (.f64 313060547623/100000000000 y)) x)
(+.f64 (pow.f64 (sqrt.f64 (*.f64 313060547623/100000000000 y)) 2) x)
(fma.f64 y (fma.f64 (fma.f64 1000000000000/607771387771 a (.f64 b -11940090572100000000000000/369386059793087248348441)) z (.f64 1000000000000/607771387771 b)) x)
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) x) 2)) (cbrt.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) x)))
(pow.f64 (cbrt.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) x)) 3)
(fma.f64 1000000000000/607771387771 (*.f64 b y) x)
(fma.f64 y (*.f64 (/.f64 1 (sqrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))) (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (sqrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)))) x)
(fma.f64 (/.f64 y (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) (.f64 a z) (fma.f64 y (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) (.f64 z z) (/.f64 b (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))) x))
(fma.f64 -3652704169880641883561/100000000000000000000 (/.f64 y z) (+.f64 (.f64 (/.f64 y (.f64 z z)) (-.f64 (+.f64 t 45796100221584283915100827016327/100000000000000000000000000000) (/.f64 (-.f64 (-.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 t -15234687407/1000000000)) a) z))) (fma.f64 313060547623/100000000000 y x)))
(+.f64 (/.f64 (.f64 y (+.f64 b (.f64 z (+.f64 a (.f64 (+.f64 t (.f64 (+.f64 55833770631/5000000000 (.f64 313060547623/100000000000 z)) z)) z))))) (+.f64 607771387771/1000000000000 (.f64 (+.f64 119400905721/10000000000 (.f64 z (+.f64 314690115749/10000000000 (.f64 (+.f64 15234687407/1000000000 z) z)))) z))) x)
(+.f64 (*.f64 313060547623/100000000000 y) x)
(fma.f64 y (+.f64 313060547623/100000000000 (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (+.f64 (/.f64 (/.f64 t z) z) (/.f64 -3652704169880641883561/100000000000000000000 z)))) x)
(fma.f64 -3652704169880641883561/100000000000000000000 (/.f64 y z) (fma.f64 313060547623/100000000000 y (fma.f64 (/.f64 y z) (/.f64 (+.f64 t 45796100221584283915100827016327/100000000000000000000000000000) z) x)))
(fma.f64 y (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) x)
(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 z 313060547623/100000000000) 55833770631/5000000000) z) t) z) a) z) b)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 z 15234687407/1000000000) z) 314690115749/10000000000) z) 119400905721/10000000000) z) 607771387771/1000000000000)))

Outputs

(fma.f64 -3652704169880641883561/100000000000000000000 (/.f64 y z) (+.f64 (*.f64 (/.f64 y (*.f64 z z)) (-.f64 (+.f64 t 45796100221584283915100827016327/100000000000000000000000000000) (/.f64 (-.f64 (-.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 t -15234687407/1000000000)) a) z))) (fma.f64 313060547623/100000000000 y x)))

(fma.f64 y (*.f64 (/.f64 1 (sqrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))) (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (sqrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)))) x)

(fma.f64 y (+.f64 313060547623/100000000000 (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (+.f64 (/.f64 (/.f64 t z) z) (/.f64 -3652704169880641883561/100000000000000000000 z)))) x)

Results

Time	Error	Segments	Branch
77.0ms	12.1b	9	`x`
79.0ms	14.8b	7	`y`
28.0ms	0.3b	3	`z`
71.0ms	15.4b	7	`t`
75.0ms	14.5b	8	`a`
45.0ms	14.4b	5	`b`
16.0ms	0.5b	2	`(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 z 313060547623/100000000000) 55833770631/5000000000) z) t) z) a) z) b)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 z 15234687407/1000000000) z) 314690115749/10000000000) z) 119400905721/10000000000) z) 607771387771/1000000000000)))`
23.0ms	0.5b	2	`(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 z 313060547623/100000000000) 55833770631/5000000000) z) t) z) a) z) b)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 z 15234687407/1000000000) z) 314690115749/10000000000) z) 119400905721/10000000000) z) 607771387771/1000000000000))`

Compiler

Compiled 601 to 391 computations (34.9% saved)

bsearch215.0ms (3%)

Algorithm

2×	binary-search

Steps

Time	Point		Range
172.0ms	3.8e-9	∈ [	3.6970467279123147e-9	,	50944503104707016.0	]
42.0ms	-7.520710019855632e+47	∈ [	-7.520710019855632e+47	,	-2.583583186627504e+42	]

Compiler

Compiled 932 to 643 computations (31% saved)

simplify17.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

20×	`distribute-rgt-neg-in_binary64`
20×	`cancel-sign-sub-inv_binary64`
17×	`+-commutative_binary64`
16×	`distribute-neg-in_binary64`
13×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	147
1	79	147
2	98	147
3	112	147
4	138	147
5	167	147
6	183	147
7	192	147
8	197	147
9	206	147
10	220	147
11	234	147
12	239	147

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 z -752071001985563178661215291565556697923097460736) (fma.f64 -3652704169880641883561/100000000000000000000 (/.f64 y z) (+.f64 (*.f64 (/.f64 y (*.f64 z z)) (-.f64 (+.f64 t 45796100221584283915100827016327/100000000000000000000000000000) (/.f64 (-.f64 (-.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 t -15234687407/1000000000)) a) z))) (fma.f64 313060547623/100000000000 y x))) (if (<=.f64 z 4593918114535591/1208925819614629174706176) (fma.f64 y (*.f64 (/.f64 1 (sqrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))) (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (sqrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)))) x) (fma.f64 y (+.f64 313060547623/100000000000 (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (+.f64 (/.f64 (/.f64 t z) z) (/.f64 -3652704169880641883561/100000000000000000000 z)))) x)))

Outputs

(if (<=.f64 z -752071001985563178661215291565556697923097460736) (fma.f64 -3652704169880641883561/100000000000000000000 (/.f64 y z) (+.f64 (*.f64 (/.f64 y (*.f64 z z)) (-.f64 (+.f64 t 45796100221584283915100827016327/100000000000000000000000000000) (/.f64 (-.f64 (-.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 t -15234687407/1000000000)) a) z))) (fma.f64 313060547623/100000000000 y x))) (if (<=.f64 z 4593918114535591/1208925819614629174706176) (fma.f64 y (*.f64 (/.f64 1 (sqrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))) (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (sqrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)))) x) (fma.f64 y (+.f64 313060547623/100000000000 (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (+.f64 (/.f64 (/.f64 t z) z) (/.f64 -3652704169880641883561/100000000000000000000 z)))) x)))

(if (<=.f64 z -752071001985563178661215291565556697923097460736) (fma.f64 -3652704169880641883561/100000000000000000000 (/.f64 y z) (+.f64 (*.f64 (/.f64 y (*.f64 z z)) (-.f64 (+.f64 t 45796100221584283915100827016327/100000000000000000000000000000) (/.f64 (-.f64 (+.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 t 15234687407/1000000000)) a) z))) (fma.f64 313060547623/100000000000 y x))) (if (<=.f64 z 4593918114535591/1208925819614629174706176) (fma.f64 y (*.f64 (/.f64 1 (sqrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))) (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (sqrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)))) x) (fma.f64 y (+.f64 313060547623/100000000000 (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (+.f64 (/.f64 (/.f64 t z) z) (/.f64 -3652704169880641883561/100000000000000000000 z)))) x)))

(if (<=.f64 z -752071001985563178661215291565556697923097460736) (fma.f64 -3652704169880641883561/100000000000000000000 (/.f64 y z) (+.f64 (*.f64 (/.f64 y (*.f64 z z)) (+.f64 (+.f64 t 45796100221584283915100827016327/100000000000000000000000000000) (/.f64 (-.f64 a (+.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 t 15234687407/1000000000))) z))) (fma.f64 313060547623/100000000000 y x))) (if (<=.f64 z 4593918114535591/1208925819614629174706176) (fma.f64 y (*.f64 (/.f64 1 (sqrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))) (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (sqrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)))) x) (fma.f64 y (+.f64 313060547623/100000000000 (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (+.f64 (/.f64 (/.f64 t z) z) (/.f64 -3652704169880641883561/100000000000000000000 z)))) x)))

end54.0ms (0.7%)

Stop Event

1×

fuel

Compiler

Compiled 218 to 140 computations (35.8% saved)

Iter	Nodes	Cost
0	59	147
1	79	147
2	98	147
3	112	147
4	138	147
5	167	147
6	183	147
7	192	147
8	197	147
9	206	147
10	220	147
11	234	147
12	239	147

Iter	Nodes	Cost
0	59	147
1	79	147
2	98	147
3	112	147
4	138	147
5	167	147
6	183	147
7	192	147
8	197	147
9	206	147
10	220	147
11	234	147
12	239	147

Details

analyze2.7s (37.7%)

sample2.1s (29.9%)

preprocess46.0ms (0.6%)

simplify41.0ms (0.6%)

eval1.0ms (0%)

prune4.0ms (0.1%)

localize20.0ms (0.3%)

series41.0ms (0.6%)

rewrite50.0ms (0.7%)

simplify194.0ms (2.7%)

eval136.0ms (1.9%)

prune305.0ms (4.2%)

localize3.0ms (0%)

series5.0ms (0.1%)

rewrite41.0ms (0.6%)

simplify7.0ms (0.1%)

eval13.0ms (0.2%)

prune52.0ms (0.7%)

localize7.0ms (0.1%)

series15.0ms (0.2%)

rewrite48.0ms (0.7%)

simplify8.0ms (0.1%)

eval59.0ms (0.8%)

prune198.0ms (2.8%)

localize11.0ms (0.2%)

series4.0ms (0.1%)

rewrite75.0ms (1%)

simplify7.0ms (0.1%)

eval54.0ms (0.8%)

prune163.0ms (2.3%)

regimes433.0ms (6%)

bsearch215.0ms (3%)

simplify17.0ms (0.2%)

end54.0ms (0.7%)

Profiling

Iter	Nodes	Cost
0	59	147
1	79	147
2	98	147
3	112	147
4	138	147
5	167	147
6	183	147
7	192	147
8	197	147
9	206	147
10	220	147
11	234	147
12	239	147