Details

analyze1.9s (14.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
0%	99.6%	0.4%	8
0%	99.6%	0.4%	9
0%	97.7%	2.3%	10
0%	72.8%	27.2%	11
0%	72.5%	27.5%	12
0%	72%	28%	13
0%	71.6%	28.4%	14

Compiler

Compiled 30 to 21 computations (30% saved)

sample5.8s (44.3%)

Results

3.9s	18693×	body	128	invalid
1.8s	8254×	body	128	valid
1.0ms	1×	body	512	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 60 to 42 computations (30% saved)

preprocess97.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

3552×	`associate-+l+_binary64`
1160×	`+-commutative_binary64`
978×	`fma-def_binary64`
286×	`associate-+r+_binary64`
61×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	194	870
1	565	754
2	2236	754
3	2872	754
4	2900	754
5	2900	754
6	3690	754
7	3810	754
8	3810	754
9	3810	754
0	8	8
1	8	8

Stop Event

1×	unsound
1×	node limit

Calls

Call 1

Inputs
0
1
2
3
4
5
6
7

Outputs
0
1
2
3
2
4
2
5
6
7

Call 2

Inputs
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) z) t) a) (.f64 (-.f64 b 1/2) (log.f64 c))) (*.f64 y i))
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 y (log.f64 x)) z) t) a) (.f64 (-.f64 b 1/2) (log.f64 c))) (*.f64 x i))
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 z (log.f64 y)) x) t) a) (.f64 (-.f64 b 1/2) (log.f64 c))) (*.f64 y i))
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 t (log.f64 y)) z) x) a) (.f64 (-.f64 b 1/2) (log.f64 c))) (*.f64 y i))
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 a (log.f64 y)) z) t) x) (.f64 (-.f64 b 1/2) (log.f64 c))) (*.f64 y i))
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 b (log.f64 y)) z) t) a) (.f64 (-.f64 x 1/2) (log.f64 c))) (*.f64 y i))
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 c (log.f64 y)) z) t) a) (.f64 (-.f64 b 1/2) (log.f64 x))) (*.f64 y i))
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 i (log.f64 y)) z) t) a) (.f64 (-.f64 b 1/2) (log.f64 c))) (*.f64 y x))
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 z)) y) t) a) (.f64 (-.f64 b 1/2) (log.f64 c))) (*.f64 z i))
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 t)) z) y) a) (.f64 (-.f64 b 1/2) (log.f64 c))) (*.f64 t i))
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 a)) z) t) y) (.f64 (-.f64 b 1/2) (log.f64 c))) (*.f64 a i))
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 b)) z) t) a) (.f64 (-.f64 y 1/2) (log.f64 c))) (*.f64 b i))
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 c)) z) t) a) (.f64 (-.f64 b 1/2) (log.f64 y))) (*.f64 c i))
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 i)) z) t) a) (.f64 (-.f64 b 1/2) (log.f64 c))) (*.f64 i y))
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) t) z) a) (.f64 (-.f64 b 1/2) (log.f64 c))) (*.f64 y i))
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) a) t) z) (.f64 (-.f64 b 1/2) (log.f64 c))) (*.f64 y i))
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) b) t) a) (.f64 (-.f64 z 1/2) (log.f64 c))) (*.f64 y i))
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) c) t) a) (.f64 (-.f64 b 1/2) (log.f64 z))) (*.f64 y i))
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) i) t) a) (.f64 (-.f64 b 1/2) (log.f64 c))) (*.f64 y z))
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) z) a) t) (.f64 (-.f64 b 1/2) (log.f64 c))) (*.f64 y i))
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) z) b) a) (.f64 (-.f64 t 1/2) (log.f64 c))) (*.f64 y i))
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) z) c) a) (.f64 (-.f64 b 1/2) (log.f64 t))) (*.f64 y i))
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) z) i) a) (.f64 (-.f64 b 1/2) (log.f64 c))) (*.f64 y t))
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) z) t) b) (.f64 (-.f64 a 1/2) (log.f64 c))) (*.f64 y i))
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) z) t) c) (.f64 (-.f64 b 1/2) (log.f64 a))) (*.f64 y i))
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) z) t) i) (.f64 (-.f64 b 1/2) (log.f64 c))) (*.f64 y a))
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) z) t) a) (.f64 (-.f64 c 1/2) (log.f64 b))) (*.f64 y i))
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) z) t) a) (.f64 (-.f64 i 1/2) (log.f64 c))) (*.f64 y b))
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) z) t) a) (.f64 (-.f64 b 1/2) (log.f64 i))) (*.f64 y c))

Outputs
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) z) t) a) (.f64 (-.f64 b 1/2) (log.f64 c))) (*.f64 y i))
(+.f64 (+.f64 (fma.f64 x (log.f64 y) z) (+.f64 t a)) (+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (.f64 y i)))
(fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) (+.f64 (fma.f64 x (log.f64 y) (+.f64 z t)) a)))
(fma.f64 y i (+.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 x (log.f64 y) t)) (+.f64 z a)))
(fma.f64 y i (+.f64 (+.f64 z a) (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 x (log.f64 y) t))))
(+.f64 (+.f64 z (fma.f64 x (log.f64 y) t)) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))
(+.f64 z (+.f64 (fma.f64 x (log.f64 y) a) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) t))))
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 y (log.f64 x)) z) t) a) (.f64 (-.f64 b 1/2) (log.f64 c))) (*.f64 x i))
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(fma.f64 x i (fma.f64 (+.f64 b -1/2) (log.f64 c) (+.f64 t (+.f64 (fma.f64 y (log.f64 x) z) a))))
(+.f64 (fma.f64 x i (+.f64 z (fma.f64 y (log.f64 x) t))) (fma.f64 (+.f64 b -1/2) (log.f64 c) a))
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(+.f64 (fma.f64 y (log.f64 x) z) (+.f64 t (fma.f64 x i (fma.f64 (+.f64 b -1/2) (log.f64 c) a))))
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(+.f64 (.f64 y i) (+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (+.f64 a (+.f64 t (fma.f64 z (log.f64 y) x)))))
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(fma.f64 b i (+.f64 (fma.f64 x (log.f64 b) z) (fma.f64 (log.f64 c) (+.f64 y -1/2) (+.f64 t a))))
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(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 i)) z) t) a) (.f64 (-.f64 b 1/2) (log.f64 c))) (*.f64 i y))
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(fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) (+.f64 t (+.f64 (fma.f64 x (log.f64 i) z) a))))
(+.f64 (fma.f64 y i (+.f64 z (fma.f64 x (log.f64 i) t))) (fma.f64 (+.f64 b -1/2) (log.f64 c) a))
(+.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) a) (fma.f64 y i (+.f64 z (fma.f64 x (log.f64 i) t))))
(+.f64 (+.f64 z (fma.f64 x (log.f64 i) t)) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))
(+.f64 a (+.f64 (fma.f64 x (log.f64 i) z) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) t))))
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) t) z) a) (.f64 (-.f64 b 1/2) (log.f64 c))) (*.f64 y i))
(+.f64 (+.f64 (fma.f64 x (log.f64 y) z) (+.f64 t a)) (+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (.f64 y i)))
(fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) (+.f64 (fma.f64 x (log.f64 y) (+.f64 z t)) a)))
(fma.f64 y i (+.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 x (log.f64 y) t)) (+.f64 z a)))
(fma.f64 y i (+.f64 (+.f64 z a) (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 x (log.f64 y) t))))
(+.f64 (+.f64 z (fma.f64 x (log.f64 y) t)) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))
(+.f64 z (+.f64 (fma.f64 x (log.f64 y) a) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) t))))
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) a) t) z) (.f64 (-.f64 b 1/2) (log.f64 c))) (*.f64 y i))
(+.f64 (+.f64 (fma.f64 x (log.f64 y) z) (+.f64 t a)) (+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (.f64 y i)))
(fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) (+.f64 (fma.f64 x (log.f64 y) (+.f64 z t)) a)))
(fma.f64 y i (+.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 x (log.f64 y) t)) (+.f64 z a)))
(fma.f64 y i (+.f64 (+.f64 z a) (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 x (log.f64 y) t))))
(+.f64 (+.f64 z (fma.f64 x (log.f64 y) t)) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))
(+.f64 z (+.f64 (fma.f64 x (log.f64 y) a) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) t))))
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) b) t) a) (.f64 (-.f64 z 1/2) (log.f64 c))) (*.f64 y i))
(+.f64 (.f64 y i) (+.f64 (+.f64 t (fma.f64 x (log.f64 y) b)) (+.f64 a (.f64 (log.f64 c) (+.f64 z -1/2)))))
(fma.f64 y i (fma.f64 (log.f64 c) (+.f64 z -1/2) (+.f64 t (+.f64 (fma.f64 x (log.f64 y) b) a))))
(+.f64 (fma.f64 y i (+.f64 t (fma.f64 x (log.f64 y) b))) (fma.f64 (log.f64 c) (+.f64 z -1/2) a))
(fma.f64 (log.f64 c) (+.f64 z -1/2) (fma.f64 y i (+.f64 (fma.f64 x (log.f64 y) a) (+.f64 t b))))
(+.f64 (fma.f64 (log.f64 c) (+.f64 z -1/2) a) (fma.f64 y i (+.f64 t (fma.f64 x (log.f64 y) b))))
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) c) t) a) (.f64 (-.f64 b 1/2) (log.f64 z))) (*.f64 y i))
(+.f64 (+.f64 a (+.f64 t (fma.f64 x (log.f64 y) c))) (+.f64 (.f64 (-.f64 b 1/2) (log.f64 z)) (.f64 y i)))
(fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 z) (+.f64 t (+.f64 (fma.f64 x (log.f64 y) c) a))))
(+.f64 (fma.f64 y i (fma.f64 x (log.f64 y) (+.f64 t c))) (fma.f64 (+.f64 b -1/2) (log.f64 z) a))
(+.f64 (fma.f64 (+.f64 b -1/2) (log.f64 z) a) (fma.f64 y i (fma.f64 x (log.f64 y) (+.f64 t c))))
(+.f64 (fma.f64 x (log.f64 y) (+.f64 t c)) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 z) a)))
(fma.f64 (+.f64 b -1/2) (log.f64 z) (fma.f64 y i (+.f64 (fma.f64 x (log.f64 y) a) (+.f64 t c))))
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) i) t) a) (.f64 (-.f64 b 1/2) (log.f64 c))) (*.f64 y z))
(+.f64 (+.f64 a (+.f64 t (fma.f64 x (log.f64 y) i))) (+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (.f64 y z)))
(fma.f64 y z (fma.f64 (+.f64 b -1/2) (log.f64 c) (+.f64 i (+.f64 t (fma.f64 x (log.f64 y) a)))))
(fma.f64 y z (fma.f64 x (log.f64 y) (+.f64 (+.f64 t i) (fma.f64 (+.f64 b -1/2) (log.f64 c) a))))
(fma.f64 y z (fma.f64 x (log.f64 y) (+.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) a) (+.f64 t i))))
(+.f64 t (+.f64 (fma.f64 x (log.f64 y) i) (fma.f64 y z (fma.f64 (+.f64 b -1/2) (log.f64 c) a))))
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) z) a) t) (.f64 (-.f64 b 1/2) (log.f64 c))) (*.f64 y i))
(+.f64 (+.f64 (fma.f64 x (log.f64 y) z) (+.f64 t a)) (+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (.f64 y i)))
(fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) (+.f64 (fma.f64 x (log.f64 y) (+.f64 z t)) a)))
(fma.f64 y i (+.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 x (log.f64 y) t)) (+.f64 z a)))
(fma.f64 y i (+.f64 (+.f64 z a) (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 x (log.f64 y) t))))
(+.f64 (+.f64 z (fma.f64 x (log.f64 y) t)) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))
(+.f64 z (+.f64 (fma.f64 x (log.f64 y) a) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) t))))
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) z) b) a) (.f64 (-.f64 t 1/2) (log.f64 c))) (*.f64 y i))
(+.f64 (.f64 y i) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) b) (+.f64 a (.f64 (log.f64 c) (-.f64 t 1/2)))))
(fma.f64 y i (fma.f64 (log.f64 c) (+.f64 t -1/2) (+.f64 a (fma.f64 x (log.f64 y) (+.f64 z b)))))
(+.f64 (fma.f64 y i (+.f64 z (fma.f64 x (log.f64 y) b))) (fma.f64 (log.f64 c) (+.f64 t -1/2) a))
(+.f64 (fma.f64 (log.f64 c) (+.f64 t -1/2) a) (fma.f64 y i (+.f64 z (fma.f64 x (log.f64 y) b))))
(+.f64 (+.f64 z (fma.f64 x (log.f64 y) b)) (fma.f64 y i (fma.f64 (log.f64 c) (+.f64 t -1/2) a)))
(fma.f64 y i (+.f64 (fma.f64 x (log.f64 y) z) (fma.f64 (log.f64 c) (+.f64 t -1/2) (+.f64 a b))))
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) z) c) a) (.f64 (-.f64 b 1/2) (log.f64 t))) (*.f64 y i))
(+.f64 (.f64 y i) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) c) (+.f64 a (.f64 (-.f64 b 1/2) (log.f64 t)))))
(fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 t) (+.f64 c (+.f64 z (fma.f64 x (log.f64 y) a)))))
(+.f64 (fma.f64 y i (+.f64 z (fma.f64 x (log.f64 y) c))) (fma.f64 (+.f64 b -1/2) (log.f64 t) a))
(+.f64 (fma.f64 (+.f64 b -1/2) (log.f64 t) a) (fma.f64 y i (+.f64 z (fma.f64 x (log.f64 y) c))))
(+.f64 (+.f64 z (fma.f64 x (log.f64 y) c)) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 t) a)))
(+.f64 (fma.f64 (+.f64 b -1/2) (log.f64 t) a) (fma.f64 y i (fma.f64 x (log.f64 y) (+.f64 z c))))
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) z) i) a) (.f64 (-.f64 b 1/2) (log.f64 c))) (*.f64 y t))
(+.f64 (+.f64 (fma.f64 x (log.f64 y) z) (+.f64 i a)) (+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (.f64 y t)))
(fma.f64 y t (fma.f64 (+.f64 b -1/2) (log.f64 c) (+.f64 a (fma.f64 x (log.f64 y) (+.f64 z i)))))
(+.f64 (fma.f64 y t (fma.f64 x (log.f64 y) (+.f64 z i))) (fma.f64 (+.f64 b -1/2) (log.f64 c) a))
(+.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) a) (fma.f64 y t (fma.f64 x (log.f64 y) (+.f64 z i))))
(+.f64 (fma.f64 x (log.f64 y) (+.f64 z i)) (fma.f64 y t (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))
(+.f64 i (+.f64 (fma.f64 x (log.f64 y) z) (fma.f64 y t (fma.f64 (+.f64 b -1/2) (log.f64 c) a))))
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) z) t) b) (.f64 (-.f64 a 1/2) (log.f64 c))) (*.f64 y i))
(+.f64 (.f64 y i) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) (+.f64 b (.f64 (log.f64 c) (+.f64 a -1/2)))))
(fma.f64 y i (fma.f64 (log.f64 c) (+.f64 a -1/2) (+.f64 t (fma.f64 x (log.f64 y) (+.f64 z b)))))
(+.f64 (fma.f64 y i (+.f64 z (fma.f64 x (log.f64 y) t))) (fma.f64 (log.f64 c) (+.f64 a -1/2) b))
(fma.f64 y i (+.f64 b (fma.f64 (log.f64 c) (+.f64 a -1/2) (+.f64 z (fma.f64 x (log.f64 y) t)))))
(fma.f64 y i (+.f64 (+.f64 t b) (fma.f64 (log.f64 c) (+.f64 a -1/2) (fma.f64 x (log.f64 y) z))))
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) z) t) c) (.f64 (-.f64 b 1/2) (log.f64 a))) (*.f64 y i))
(+.f64 (.f64 y i) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) (+.f64 c (.f64 (-.f64 b 1/2) (log.f64 a)))))
(fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 a) (+.f64 z (fma.f64 x (log.f64 y) (+.f64 t c)))))
(+.f64 (fma.f64 y i (+.f64 z (fma.f64 x (log.f64 y) t))) (fma.f64 (+.f64 b -1/2) (log.f64 a) c))
(+.f64 (fma.f64 (+.f64 b -1/2) (log.f64 a) c) (fma.f64 y i (+.f64 z (fma.f64 x (log.f64 y) t))))
(+.f64 (+.f64 z (fma.f64 x (log.f64 y) t)) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 a) c)))
(fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 a) (+.f64 (fma.f64 x (log.f64 y) (+.f64 z t)) c)))
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) z) t) i) (.f64 (-.f64 b 1/2) (log.f64 c))) (*.f64 y a))
(+.f64 (+.f64 (fma.f64 x (log.f64 y) z) (+.f64 t i)) (+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (.f64 y a)))
(fma.f64 y a (fma.f64 (+.f64 b -1/2) (log.f64 c) (+.f64 t (fma.f64 x (log.f64 y) (+.f64 z i)))))
(+.f64 (fma.f64 y a (+.f64 z (fma.f64 x (log.f64 y) t))) (fma.f64 (+.f64 b -1/2) (log.f64 c) i))
(+.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) i) (fma.f64 y a (+.f64 z (fma.f64 x (log.f64 y) t))))
(+.f64 (+.f64 z (fma.f64 x (log.f64 y) t)) (fma.f64 y a (fma.f64 (+.f64 b -1/2) (log.f64 c) i)))
(fma.f64 y a (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 x (log.f64 y) (+.f64 i (+.f64 z t)))))
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) z) t) a) (.f64 (-.f64 c 1/2) (log.f64 b))) (*.f64 y i))
(+.f64 (+.f64 (fma.f64 x (log.f64 y) z) (+.f64 t a)) (+.f64 (.f64 (log.f64 b) (-.f64 c 1/2)) (.f64 y i)))
(fma.f64 y i (fma.f64 (log.f64 b) (+.f64 c -1/2) (+.f64 (fma.f64 x (log.f64 y) (+.f64 z t)) a)))
(fma.f64 y i (+.f64 (+.f64 z (fma.f64 x (log.f64 y) t)) (fma.f64 (log.f64 b) (+.f64 c -1/2) a)))
(+.f64 (fma.f64 (log.f64 b) (+.f64 c -1/2) a) (fma.f64 y i (fma.f64 x (log.f64 y) (+.f64 z t))))
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) z) t) a) (.f64 (-.f64 i 1/2) (log.f64 c))) (*.f64 y b))
(+.f64 (+.f64 (fma.f64 x (log.f64 y) z) (+.f64 t a)) (+.f64 (.f64 (log.f64 c) (-.f64 i 1/2)) (.f64 y b)))
(fma.f64 y b (fma.f64 (log.f64 c) (+.f64 i -1/2) (+.f64 (fma.f64 x (log.f64 y) (+.f64 z t)) a)))
(+.f64 (fma.f64 y b (+.f64 z (fma.f64 x (log.f64 y) t))) (fma.f64 (log.f64 c) (+.f64 i -1/2) a))
(+.f64 (fma.f64 (log.f64 c) (+.f64 i -1/2) a) (fma.f64 y b (+.f64 z (fma.f64 x (log.f64 y) t))))
(+.f64 (fma.f64 x (log.f64 y) (+.f64 z t)) (fma.f64 y b (fma.f64 (log.f64 c) (+.f64 i -1/2) a)))
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) z) t) a) (.f64 (-.f64 b 1/2) (log.f64 i))) (*.f64 y c))
(+.f64 (+.f64 (fma.f64 x (log.f64 y) z) (+.f64 t a)) (+.f64 (.f64 (-.f64 b 1/2) (log.f64 i)) (.f64 y c)))
(fma.f64 y c (fma.f64 (+.f64 b -1/2) (log.f64 i) (+.f64 (fma.f64 x (log.f64 y) (+.f64 z t)) a)))
(fma.f64 y c (+.f64 (+.f64 z (fma.f64 x (log.f64 y) t)) (fma.f64 (+.f64 b -1/2) (log.f64 i) a)))
(+.f64 z (+.f64 (fma.f64 x (log.f64 y) t) (fma.f64 y c (fma.f64 (+.f64 b -1/2) (log.f64 i) a))))

Symmetry

(sort z t a)

Compiler

Compiled 29 to 20 computations (31% saved)

simplify61.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1877×	`associate-+l+_binary64`
859×	`associate-+r+_binary64`
762×	`+-commutative_binary64`
750×	`fma-def_binary64`
5×	`*-commutative_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	30
1	41	26
2	113	26
3	493	26
4	1588	26
5	2153	26
6	2259	26
7	2259	26
8	2259	26
9	2259	26
10	4029	26
11	4281	26
12	4281	26
13	4506	26
14	4506	26
15	4705	26

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) z) t) a) (.f64 (-.f64 b 1/2) (log.f64 c))) (*.f64 y i))

Outputs
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) z) t) a) (.f64 (-.f64 b 1/2) (log.f64 c))) (*.f64 y i))
(+.f64 (+.f64 (fma.f64 x (log.f64 y) z) (+.f64 t a)) (+.f64 (.f64 (+.f64 b -1/2) (log.f64 c)) (.f64 y i)))
(fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) (+.f64 (fma.f64 x (log.f64 y) z) (+.f64 t a))))
(+.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) a) (fma.f64 y i (+.f64 z (fma.f64 x (log.f64 y) t))))
(+.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 x (log.f64 y) (+.f64 z t))) (fma.f64 y i a))
(+.f64 z (+.f64 t (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 y i (fma.f64 x (log.f64 y) a)))))
(+.f64 (fma.f64 x (log.f64 y) (+.f64 z t)) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))
(+.f64 z (+.f64 t (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))))

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.1b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.1b	(+.f64 z (+.f64 t (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))))

Compiler

Compiled 99 to 61 computations (38.4% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a))
✓	0.0b	(+.f64 z (+.f64 t (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))))
✓	0.0b	(fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))
✓	0.1b	(fma.f64 (+.f64 b -1/2) (log.f64 c) a)

series142.0ms (1.1%)

Counts

4 → 264

Calls

66 calls:

Time	Variable		Point	Expression
23.0ms	c	@	-inf	(fma.f64 (+.f64 b -1/2) (log.f64 c) a)
21.0ms	c	@	0	(fma.f64 (+.f64 b -1/2) (log.f64 c) a)
18.0ms	y	@	0	(fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))
12.0ms	c	@	0	(fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))
7.0ms	a	@	0	(fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a))

rewrite46.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

203×	`add-sqr-sqrt_binary64`
200×	`*-un-lft-identity_binary64`
200×	`pow1_binary64`
189×	`add-exp-log_binary64`
189×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	70
1	383	70

Stop Event

1×	node limit

Counts

4 → 99

Calls

Call 1

Inputs
(fma.f64 (+.f64 b -1/2) (log.f64 c) a)
(fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))
(+.f64 z (+.f64 t (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))))
(fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a))

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

simplify138.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1075×	`fma-def_binary64`
484×	`+-commutative_binary64`
458×	`associate-+l-_binary64`
315×	`associate-+r+_binary64`
232×	`associate-+l+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	162	4660
1	533	4496
2	1407	4492
3	2398	4492

Stop Event

1×	node limit

Counts

363 → 171

Calls

Call 1

Inputs
(+.f64 a (*.f64 -1/2 (log.f64 c)))
(+.f64 a (+.f64 (.f64 (log.f64 c) b) (.f64 -1/2 (log.f64 c))))
(+.f64 a (+.f64 (.f64 (log.f64 c) b) (.f64 -1/2 (log.f64 c))))
(+.f64 a (+.f64 (.f64 (log.f64 c) b) (.f64 -1/2 (log.f64 c))))
(*.f64 (log.f64 c) b)
(+.f64 a (+.f64 (.f64 (log.f64 c) b) (.f64 -1/2 (log.f64 c))))
(+.f64 a (+.f64 (.f64 (log.f64 c) b) (.f64 -1/2 (log.f64 c))))
(+.f64 a (+.f64 (.f64 (log.f64 c) b) (.f64 -1/2 (log.f64 c))))
(*.f64 (log.f64 c) b)
(+.f64 a (+.f64 (.f64 (log.f64 c) b) (.f64 -1/2 (log.f64 c))))
(+.f64 a (+.f64 (.f64 (log.f64 c) b) (.f64 -1/2 (log.f64 c))))
(+.f64 a (+.f64 (.f64 (log.f64 c) b) (.f64 -1/2 (log.f64 c))))
(+.f64 a (*.f64 (log.f64 c) (-.f64 b 1/2)))
(+.f64 a (*.f64 (log.f64 c) (-.f64 b 1/2)))
(+.f64 a (*.f64 (log.f64 c) (-.f64 b 1/2)))
(+.f64 a (*.f64 (log.f64 c) (-.f64 b 1/2)))
(+.f64 (.f64 -1 (.f64 (-.f64 b 1/2) (log.f64 (/.f64 1 c)))) a)
(+.f64 (.f64 -1 (.f64 (-.f64 b 1/2) (log.f64 (/.f64 1 c)))) a)
(+.f64 (.f64 -1 (.f64 (-.f64 b 1/2) (log.f64 (/.f64 1 c)))) a)
(+.f64 (.f64 -1 (.f64 (-.f64 b 1/2) (log.f64 (/.f64 1 c)))) a)
(+.f64 a (.f64 (-.f64 b 1/2) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 c))))))
(+.f64 a (.f64 (-.f64 b 1/2) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 c))))))
(+.f64 a (.f64 (-.f64 b 1/2) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 c))))))
(+.f64 a (.f64 (-.f64 b 1/2) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 c))))))
(*.f64 (-.f64 b 1/2) (log.f64 c))
(+.f64 (*.f64 (-.f64 b 1/2) (log.f64 c)) a)
(+.f64 (*.f64 (-.f64 b 1/2) (log.f64 c)) a)
(+.f64 (*.f64 (-.f64 b 1/2) (log.f64 c)) a)
a
(+.f64 (*.f64 (-.f64 b 1/2) (log.f64 c)) a)
(+.f64 (*.f64 (-.f64 b 1/2) (log.f64 c)) a)
(+.f64 (*.f64 (-.f64 b 1/2) (log.f64 c)) a)
a
(+.f64 (*.f64 (-.f64 b 1/2) (log.f64 c)) a)
(+.f64 (*.f64 (-.f64 b 1/2) (log.f64 c)) a)
(+.f64 (*.f64 (-.f64 b 1/2) (log.f64 c)) a)
(+.f64 (.f64 y i) (+.f64 a (.f64 (log.f64 c) (-.f64 b 1/2))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 y) x) (+.f64 (*.f64 (log.f64 c) (-.f64 b 1/2)) a)))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 y) x) (+.f64 (*.f64 (log.f64 c) (-.f64 b 1/2)) a)))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 y) x) (+.f64 (*.f64 (log.f64 c) (-.f64 b 1/2)) a)))
(*.f64 (log.f64 y) x)
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (*.f64 (log.f64 y) x))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (*.f64 (log.f64 y) x))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (*.f64 (log.f64 y) x))))
(*.f64 (log.f64 y) x)
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (*.f64 (log.f64 y) x))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (*.f64 (log.f64 y) x))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (*.f64 (log.f64 y) x))))
(+.f64 (.f64 (log.f64 y) x) (+.f64 a (.f64 (log.f64 c) (-.f64 b 1/2))))
(+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 (.f64 (log.f64 y) x) (*.f64 i y))))
(+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 (.f64 (log.f64 y) x) (*.f64 i y))))
(+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 (.f64 (log.f64 y) x) (*.f64 i y))))
(*.f64 i y)
(+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x)) (.f64 i y))))
(+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x)) (.f64 i y))))
(+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x)) (.f64 i y))))
(*.f64 i y)
(+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (.f64 i y))))
(+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (.f64 i y))))
(+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (.f64 i y))))
(+.f64 (.f64 (log.f64 y) x) (+.f64 a (.f64 (log.f64 c) (-.f64 b 1/2))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (*.f64 (log.f64 y) x))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (*.f64 (log.f64 y) x))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (*.f64 (log.f64 y) x))))
(*.f64 y i)
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (*.f64 (log.f64 y) x))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (*.f64 (log.f64 y) x))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (*.f64 (log.f64 y) x))))
(*.f64 y i)
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (*.f64 (log.f64 y) x))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (*.f64 (log.f64 y) x))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (*.f64 (log.f64 y) x))))
(+.f64 (.f64 y i) (+.f64 a (+.f64 (.f64 (log.f64 y) x) (*.f64 -1/2 (log.f64 c)))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 y) x) (+.f64 a (+.f64 (.f64 (log.f64 c) b) (.f64 -1/2 (log.f64 c))))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 y) x) (+.f64 a (+.f64 (.f64 (log.f64 c) b) (.f64 -1/2 (log.f64 c))))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 y) x) (+.f64 a (+.f64 (.f64 (log.f64 c) b) (.f64 -1/2 (log.f64 c))))))
(*.f64 (log.f64 c) b)
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 y) x) (+.f64 a (+.f64 (.f64 (log.f64 c) b) (.f64 -1/2 (log.f64 c))))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 y) x) (+.f64 a (+.f64 (.f64 (log.f64 c) b) (.f64 -1/2 (log.f64 c))))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 y) x) (+.f64 a (+.f64 (.f64 (log.f64 c) b) (.f64 -1/2 (log.f64 c))))))
(*.f64 (log.f64 c) b)
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 y) x) (+.f64 a (+.f64 (.f64 (log.f64 c) b) (.f64 -1/2 (log.f64 c))))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 y) x) (+.f64 a (+.f64 (.f64 (log.f64 c) b) (.f64 -1/2 (log.f64 c))))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 y) x) (+.f64 a (+.f64 (.f64 (log.f64 c) b) (.f64 -1/2 (log.f64 c))))))
(+.f64 (.f64 y i) (+.f64 a (+.f64 (.f64 (log.f64 y) x) (*.f64 (log.f64 c) (-.f64 b 1/2)))))
(+.f64 (.f64 y i) (+.f64 a (+.f64 (.f64 (log.f64 y) x) (*.f64 (log.f64 c) (-.f64 b 1/2)))))
(+.f64 (.f64 y i) (+.f64 a (+.f64 (.f64 (log.f64 y) x) (*.f64 (log.f64 c) (-.f64 b 1/2)))))
(+.f64 (.f64 y i) (+.f64 a (+.f64 (.f64 (log.f64 y) x) (*.f64 (log.f64 c) (-.f64 b 1/2)))))
(+.f64 (.f64 y i) (+.f64 (.f64 -1 (.f64 (-.f64 b 1/2) (log.f64 (/.f64 1 c)))) (+.f64 (.f64 (log.f64 y) x) a)))
(+.f64 (.f64 y i) (+.f64 (.f64 -1 (.f64 (-.f64 b 1/2) (log.f64 (/.f64 1 c)))) (+.f64 (.f64 (log.f64 y) x) a)))
(+.f64 (.f64 y i) (+.f64 (.f64 -1 (.f64 (-.f64 b 1/2) (log.f64 (/.f64 1 c)))) (+.f64 (.f64 (log.f64 y) x) a)))
(+.f64 (.f64 y i) (+.f64 (.f64 -1 (.f64 (-.f64 b 1/2) (log.f64 (/.f64 1 c)))) (+.f64 (.f64 (log.f64 y) x) a)))
(+.f64 (.f64 y i) (+.f64 a (+.f64 (.f64 (log.f64 y) x) (.f64 (-.f64 b 1/2) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 c))))))))
(+.f64 (.f64 y i) (+.f64 a (+.f64 (.f64 (log.f64 y) x) (.f64 (-.f64 b 1/2) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 c))))))))
(+.f64 (.f64 y i) (+.f64 a (+.f64 (.f64 (log.f64 y) x) (.f64 (-.f64 b 1/2) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 c))))))))
(+.f64 (.f64 y i) (+.f64 a (+.f64 (.f64 (log.f64 y) x) (.f64 (-.f64 b 1/2) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 c))))))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 y) x) (*.f64 (log.f64 c) (-.f64 b 1/2))))
(+.f64 (.f64 y i) (+.f64 a (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (*.f64 (log.f64 y) x))))
(+.f64 (.f64 y i) (+.f64 a (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (*.f64 (log.f64 y) x))))
(+.f64 (.f64 y i) (+.f64 a (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (*.f64 (log.f64 y) x))))
a
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 (*.f64 (log.f64 y) x) a)))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 (*.f64 (log.f64 y) x) a)))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 (*.f64 (log.f64 y) x) a)))
a
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 (*.f64 (log.f64 y) x) a)))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 (*.f64 (log.f64 y) x) a)))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 (*.f64 (log.f64 y) x) a)))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 y) x) (+.f64 a (+.f64 (*.f64 (log.f64 c) (-.f64 b 1/2)) t))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 (*.f64 (log.f64 y) x) (+.f64 t z)))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 (*.f64 (log.f64 y) x) (+.f64 t z)))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 (*.f64 (log.f64 y) x) (+.f64 t z)))))
z
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 (*.f64 (log.f64 y) x) (+.f64 t z)))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 (*.f64 (log.f64 y) x) (+.f64 t z)))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 (*.f64 (log.f64 y) x) (+.f64 t z)))))
z
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 (*.f64 (log.f64 y) x) (+.f64 t z)))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 (*.f64 (log.f64 y) x) (+.f64 t z)))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 (*.f64 (log.f64 y) x) (+.f64 t z)))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 y) x) (+.f64 a (+.f64 (*.f64 (log.f64 c) (-.f64 b 1/2)) z))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 (*.f64 (log.f64 y) x) (+.f64 t z)))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 (*.f64 (log.f64 y) x) (+.f64 t z)))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 (*.f64 (log.f64 y) x) (+.f64 t z)))))
t
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 (*.f64 (log.f64 y) x) (+.f64 t z)))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 (*.f64 (log.f64 y) x) (+.f64 t z)))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 (*.f64 (log.f64 y) x) (+.f64 t z)))))
t
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 (*.f64 (log.f64 y) x) (+.f64 t z)))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 (*.f64 (log.f64 y) x) (+.f64 t z)))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 (*.f64 (log.f64 y) x) (+.f64 t z)))))
(+.f64 (.f64 y i) (+.f64 a (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 t z))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 y) x) (+.f64 (*.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 t z)))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 y) x) (+.f64 (*.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 t z)))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 y) x) (+.f64 (*.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 t z)))))
(*.f64 (log.f64 y) x)
(+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (+.f64 a (+.f64 (.f64 (log.f64 y) x) (+.f64 t (+.f64 z (*.f64 i y))))))
(+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (+.f64 a (+.f64 (.f64 (log.f64 y) x) (+.f64 t (+.f64 z (*.f64 i y))))))
(+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (+.f64 a (+.f64 (.f64 (log.f64 y) x) (+.f64 t (+.f64 z (*.f64 i y))))))
(*.f64 (log.f64 y) x)
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 (*.f64 (log.f64 y) x) (+.f64 t z)))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 (*.f64 (log.f64 y) x) (+.f64 t z)))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 (*.f64 (log.f64 y) x) (+.f64 t z)))))
(+.f64 (.f64 (log.f64 y) x) (+.f64 a (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 t z))))
(+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 (.f64 (log.f64 y) x) (+.f64 t (+.f64 z (*.f64 i y))))))
(+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 (.f64 (log.f64 y) x) (+.f64 t (+.f64 z (*.f64 i y))))))
(+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 (.f64 (log.f64 y) x) (+.f64 t (+.f64 z (*.f64 i y))))))
(*.f64 i y)
(+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 t (+.f64 z (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x)) (.f64 i y))))))
(+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 t (+.f64 z (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x)) (.f64 i y))))))
(+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 t (+.f64 z (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x)) (.f64 i y))))))
(*.f64 i y)
(+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 t (+.f64 z (.f64 i y))))))
(+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 t (+.f64 z (.f64 i y))))))
(+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 t (+.f64 z (.f64 i y))))))
(+.f64 (.f64 (log.f64 y) x) (+.f64 a (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 t z))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 (*.f64 (log.f64 y) x) (+.f64 t z)))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 (*.f64 (log.f64 y) x) (+.f64 t z)))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 (*.f64 (log.f64 y) x) (+.f64 t z)))))
(*.f64 y i)
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 (*.f64 (log.f64 y) x) (+.f64 t z)))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 (*.f64 (log.f64 y) x) (+.f64 t z)))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 (*.f64 (log.f64 y) x) (+.f64 t z)))))
(*.f64 y i)
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 (*.f64 (log.f64 y) x) (+.f64 t z)))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 (*.f64 (log.f64 y) x) (+.f64 t z)))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 (*.f64 (log.f64 y) x) (+.f64 t z)))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 y) x) (+.f64 a (+.f64 t (+.f64 z (*.f64 -1/2 (log.f64 c)))))))
(+.f64 (.f64 y i) (+.f64 a (+.f64 (.f64 (log.f64 y) x) (+.f64 t (+.f64 (.f64 (log.f64 c) b) (+.f64 z (.f64 -1/2 (log.f64 c))))))))
(+.f64 (.f64 y i) (+.f64 a (+.f64 (.f64 (log.f64 y) x) (+.f64 t (+.f64 (.f64 (log.f64 c) b) (+.f64 z (.f64 -1/2 (log.f64 c))))))))
(+.f64 (.f64 y i) (+.f64 a (+.f64 (.f64 (log.f64 y) x) (+.f64 t (+.f64 (.f64 (log.f64 c) b) (+.f64 z (.f64 -1/2 (log.f64 c))))))))
(*.f64 (log.f64 c) b)
(+.f64 a (+.f64 (.f64 (log.f64 y) x) (+.f64 t (+.f64 (.f64 (log.f64 c) b) (+.f64 z (+.f64 (.f64 i y) (.f64 -1/2 (log.f64 c))))))))
(+.f64 a (+.f64 (.f64 (log.f64 y) x) (+.f64 t (+.f64 (.f64 (log.f64 c) b) (+.f64 z (+.f64 (.f64 i y) (.f64 -1/2 (log.f64 c))))))))
(+.f64 a (+.f64 (.f64 (log.f64 y) x) (+.f64 t (+.f64 (.f64 (log.f64 c) b) (+.f64 z (+.f64 (.f64 i y) (.f64 -1/2 (log.f64 c))))))))
(*.f64 (log.f64 c) b)
(+.f64 a (+.f64 (.f64 (log.f64 y) x) (+.f64 t (+.f64 (.f64 (log.f64 c) b) (+.f64 z (+.f64 (.f64 i y) (.f64 -1/2 (log.f64 c))))))))
(+.f64 a (+.f64 (.f64 (log.f64 y) x) (+.f64 t (+.f64 (.f64 (log.f64 c) b) (+.f64 z (+.f64 (.f64 i y) (.f64 -1/2 (log.f64 c))))))))
(+.f64 a (+.f64 (.f64 (log.f64 y) x) (+.f64 t (+.f64 (.f64 (log.f64 c) b) (+.f64 z (+.f64 (.f64 i y) (.f64 -1/2 (log.f64 c))))))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 y) x) (+.f64 a (+.f64 (*.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 t z)))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 y) x) (+.f64 a (+.f64 (*.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 t z)))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 y) x) (+.f64 a (+.f64 (*.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 t z)))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 y) x) (+.f64 a (+.f64 (*.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 t z)))))
(+.f64 (.f64 y i) (+.f64 (.f64 -1 (.f64 (-.f64 b 1/2) (log.f64 (/.f64 1 c)))) (+.f64 a (+.f64 (.f64 (log.f64 y) x) (+.f64 t z)))))
(+.f64 (.f64 y i) (+.f64 (.f64 -1 (.f64 (-.f64 b 1/2) (log.f64 (/.f64 1 c)))) (+.f64 a (+.f64 (.f64 (log.f64 y) x) (+.f64 t z)))))
(+.f64 (.f64 y i) (+.f64 (.f64 -1 (.f64 (-.f64 b 1/2) (log.f64 (/.f64 1 c)))) (+.f64 a (+.f64 (.f64 (log.f64 y) x) (+.f64 t z)))))
(+.f64 (.f64 y i) (+.f64 (.f64 -1 (.f64 (-.f64 b 1/2) (log.f64 (/.f64 1 c)))) (+.f64 a (+.f64 (.f64 (log.f64 y) x) (+.f64 t z)))))
(+.f64 (.f64 (log.f64 y) x) (+.f64 a (+.f64 t (+.f64 z (+.f64 (.f64 (-.f64 b 1/2) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 c))))) (.f64 i y))))))
(+.f64 (.f64 (log.f64 y) x) (+.f64 a (+.f64 t (+.f64 z (+.f64 (.f64 (-.f64 b 1/2) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 c))))) (.f64 i y))))))
(+.f64 (.f64 (log.f64 y) x) (+.f64 a (+.f64 t (+.f64 z (+.f64 (.f64 (-.f64 b 1/2) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 c))))) (.f64 i y))))))
(+.f64 (.f64 (log.f64 y) x) (+.f64 a (+.f64 t (+.f64 z (+.f64 (.f64 (-.f64 b 1/2) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 c))))) (.f64 i y))))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 y) x) (+.f64 (*.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 t z))))
(+.f64 (.f64 y i) (+.f64 a (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 (*.f64 (log.f64 y) x) (+.f64 t z)))))
(+.f64 (.f64 y i) (+.f64 a (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 (*.f64 (log.f64 y) x) (+.f64 t z)))))
(+.f64 (.f64 y i) (+.f64 a (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 (*.f64 (log.f64 y) x) (+.f64 t z)))))
a
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 (*.f64 (log.f64 y) x) (+.f64 a (+.f64 t z)))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 (*.f64 (log.f64 y) x) (+.f64 a (+.f64 t z)))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 (*.f64 (log.f64 y) x) (+.f64 a (+.f64 t z)))))
a
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 (*.f64 (log.f64 y) x) (+.f64 a (+.f64 t z)))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 (*.f64 (log.f64 y) x) (+.f64 a (+.f64 t z)))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 (*.f64 (log.f64 y) x) (+.f64 a (+.f64 t z)))))
(+.f64 (*.f64 (-.f64 b 1/2) (log.f64 c)) a)
(+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (+.f64 a (.f64 i y)))
(+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (+.f64 a (.f64 i y)))
(+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (+.f64 a (.f64 i y)))
(*.f64 i y)
(+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (+.f64 a (.f64 i y)))
(+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (+.f64 a (.f64 i y)))
(+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (+.f64 a (.f64 i y)))
(*.f64 i y)
(+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (+.f64 a (.f64 i y)))
(+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (+.f64 a (.f64 i y)))
(+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (+.f64 a (.f64 i y)))
(+.f64 (*.f64 (-.f64 b 1/2) (log.f64 c)) a)
(+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (+.f64 (.f64 y i) a))
(+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (+.f64 (.f64 y i) a))
(+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (+.f64 (.f64 y i) a))
(*.f64 y i)
(+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (+.f64 (.f64 y i) a))
(+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (+.f64 (.f64 y i) a))
(+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (+.f64 (.f64 y i) a))
(*.f64 y i)
(+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (+.f64 (.f64 y i) a))
(+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (+.f64 (.f64 y i) a))
(+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (+.f64 (.f64 y i) a))
(+.f64 a (+.f64 (.f64 -1/2 (log.f64 c)) (.f64 i y)))
(+.f64 a (+.f64 (.f64 (log.f64 c) b) (+.f64 (.f64 i y) (*.f64 -1/2 (log.f64 c)))))
(+.f64 a (+.f64 (.f64 (log.f64 c) b) (+.f64 (.f64 i y) (*.f64 -1/2 (log.f64 c)))))
(+.f64 a (+.f64 (.f64 (log.f64 c) b) (+.f64 (.f64 i y) (*.f64 -1/2 (log.f64 c)))))
(*.f64 (log.f64 c) b)
(+.f64 a (+.f64 (.f64 (log.f64 c) b) (+.f64 (.f64 i y) (*.f64 -1/2 (log.f64 c)))))
(+.f64 a (+.f64 (.f64 (log.f64 c) b) (+.f64 (.f64 i y) (*.f64 -1/2 (log.f64 c)))))
(+.f64 a (+.f64 (.f64 (log.f64 c) b) (+.f64 (.f64 i y) (*.f64 -1/2 (log.f64 c)))))
(*.f64 (log.f64 c) b)
(+.f64 a (+.f64 (.f64 (log.f64 c) b) (+.f64 (.f64 i y) (*.f64 -1/2 (log.f64 c)))))
(+.f64 a (+.f64 (.f64 (log.f64 c) b) (+.f64 (.f64 i y) (*.f64 -1/2 (log.f64 c)))))
(+.f64 a (+.f64 (.f64 (log.f64 c) b) (+.f64 (.f64 i y) (*.f64 -1/2 (log.f64 c)))))
(+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (+.f64 a (.f64 i y)))
(+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (+.f64 a (.f64 i y)))
(+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (+.f64 a (.f64 i y)))
(+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (+.f64 a (.f64 i y)))
(+.f64 (.f64 -1 (.f64 (-.f64 b 1/2) (log.f64 (/.f64 1 c)))) (+.f64 a (*.f64 i y)))
(+.f64 (.f64 -1 (.f64 (-.f64 b 1/2) (log.f64 (/.f64 1 c)))) (+.f64 a (*.f64 i y)))
(+.f64 (.f64 -1 (.f64 (-.f64 b 1/2) (log.f64 (/.f64 1 c)))) (+.f64 a (*.f64 i y)))
(+.f64 (.f64 -1 (.f64 (-.f64 b 1/2) (log.f64 (/.f64 1 c)))) (+.f64 a (*.f64 i y)))
(+.f64 a (+.f64 (.f64 (-.f64 b 1/2) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 c))))) (*.f64 i y)))
(+.f64 a (+.f64 (.f64 (-.f64 b 1/2) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 c))))) (*.f64 i y)))
(+.f64 a (+.f64 (.f64 (-.f64 b 1/2) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 c))))) (*.f64 i y)))
(+.f64 a (+.f64 (.f64 (-.f64 b 1/2) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 c))))) (*.f64 i y)))
(+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (.f64 i y))
(+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (+.f64 a (.f64 i y)))
(+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (+.f64 a (.f64 i y)))
(+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (+.f64 a (.f64 i y)))
a
(+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (+.f64 a (.f64 i y)))
(+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (+.f64 a (.f64 i y)))
(+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (+.f64 a (.f64 i y)))
a
(+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (+.f64 a (.f64 i y)))
(+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (+.f64 a (.f64 i y)))
(+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (+.f64 a (.f64 i y)))

Outputs
(+.f64 a (*.f64 -1/2 (log.f64 c)))
(fma.f64 -1/2 (log.f64 c) a)
(+.f64 a (+.f64 (.f64 (log.f64 c) b) (.f64 -1/2 (log.f64 c))))
(+.f64 a (fma.f64 (log.f64 c) b (*.f64 -1/2 (log.f64 c))))
(fma.f64 (log.f64 c) (-.f64 b 1/2) a)
(fma.f64 (log.f64 c) (+.f64 -1/2 b) a)
(+.f64 a (+.f64 (.f64 (log.f64 c) b) (.f64 -1/2 (log.f64 c))))
(+.f64 a (fma.f64 (log.f64 c) b (*.f64 -1/2 (log.f64 c))))
(fma.f64 (log.f64 c) (-.f64 b 1/2) a)
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(fma.f64 (log.f64 c) (-.f64 b 1/2) (fma.f64 (log.f64 y) x (fma.f64 y i a)))
(fma.f64 (log.f64 c) (+.f64 -1/2 b) (fma.f64 (log.f64 y) x (fma.f64 y i a)))
(+.f64 (.f64 y i) (+.f64 a (+.f64 (.f64 (log.f64 y) x) (.f64 (-.f64 b 1/2) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 c))))))))
(fma.f64 y i (fma.f64 (log.f64 c) (+.f64 b -1/2) (fma.f64 (log.f64 y) x a)))
(fma.f64 y i (fma.f64 (log.f64 c) (-.f64 b 1/2) (fma.f64 (log.f64 y) x a)))
(fma.f64 (log.f64 c) (-.f64 b 1/2) (fma.f64 (log.f64 y) x (fma.f64 y i a)))
(fma.f64 (log.f64 c) (+.f64 -1/2 b) (fma.f64 (log.f64 y) x (fma.f64 y i a)))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 y) x) (*.f64 (log.f64 c) (-.f64 b 1/2))))
(fma.f64 y i (fma.f64 (log.f64 c) (+.f64 b -1/2) (*.f64 (log.f64 y) x)))
(fma.f64 y i (fma.f64 (log.f64 c) (-.f64 b 1/2) (*.f64 (log.f64 y) x)))
(fma.f64 (log.f64 c) (-.f64 b 1/2) (fma.f64 (log.f64 y) x (*.f64 y i)))
(fma.f64 (log.f64 c) (+.f64 -1/2 b) (fma.f64 y i (*.f64 (log.f64 y) x)))
(+.f64 (.f64 y i) (+.f64 a (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (*.f64 (log.f64 y) x))))
(fma.f64 y i (fma.f64 (log.f64 c) (+.f64 b -1/2) (fma.f64 (log.f64 y) x a)))
(fma.f64 y i (fma.f64 (log.f64 c) (-.f64 b 1/2) (fma.f64 (log.f64 y) x a)))
(fma.f64 (log.f64 c) (-.f64 b 1/2) (fma.f64 (log.f64 y) x (fma.f64 y i a)))
(fma.f64 (log.f64 c) (+.f64 -1/2 b) (fma.f64 (log.f64 y) x (fma.f64 y i a)))
(+.f64 (.f64 y i) (+.f64 a (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (*.f64 (log.f64 y) x))))
(fma.f64 y i (fma.f64 (log.f64 c) (+.f64 b -1/2) (fma.f64 (log.f64 y) x a)))
(fma.f64 y i (fma.f64 (log.f64 c) (-.f64 b 1/2) (fma.f64 (log.f64 y) x a)))
(fma.f64 (log.f64 c) (-.f64 b 1/2) (fma.f64 (log.f64 y) x (fma.f64 y i a)))
(fma.f64 (log.f64 c) (+.f64 -1/2 b) (fma.f64 (log.f64 y) x (fma.f64 y i a)))
(+.f64 (.f64 y i) (+.f64 a (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (*.f64 (log.f64 y) x))))
(fma.f64 y i (fma.f64 (log.f64 c) (+.f64 b -1/2) (fma.f64 (log.f64 y) x a)))
(fma.f64 y i (fma.f64 (log.f64 c) (-.f64 b 1/2) (fma.f64 (log.f64 y) x a)))
(fma.f64 (log.f64 c) (-.f64 b 1/2) (fma.f64 (log.f64 y) x (fma.f64 y i a)))
(fma.f64 (log.f64 c) (+.f64 -1/2 b) (fma.f64 (log.f64 y) x (fma.f64 y i a)))
a
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 (*.f64 (log.f64 y) x) a)))
(fma.f64 y i (fma.f64 (log.f64 c) (+.f64 b -1/2) (fma.f64 (log.f64 y) x a)))
(fma.f64 y i (fma.f64 (log.f64 c) (-.f64 b 1/2) (fma.f64 (log.f64 y) x a)))
(fma.f64 (log.f64 c) (-.f64 b 1/2) (fma.f64 (log.f64 y) x (fma.f64 y i a)))
(fma.f64 (log.f64 c) (+.f64 -1/2 b) (fma.f64 (log.f64 y) x (fma.f64 y i a)))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 (*.f64 (log.f64 y) x) a)))
(fma.f64 y i (fma.f64 (log.f64 c) (+.f64 b -1/2) (fma.f64 (log.f64 y) x a)))
(fma.f64 y i (fma.f64 (log.f64 c) (-.f64 b 1/2) (fma.f64 (log.f64 y) x a)))
(fma.f64 (log.f64 c) (-.f64 b 1/2) (fma.f64 (log.f64 y) x (fma.f64 y i a)))
(fma.f64 (log.f64 c) (+.f64 -1/2 b) (fma.f64 (log.f64 y) x (fma.f64 y i a)))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 (*.f64 (log.f64 y) x) a)))
(fma.f64 y i (fma.f64 (log.f64 c) (+.f64 b -1/2) (fma.f64 (log.f64 y) x a)))
(fma.f64 y i (fma.f64 (log.f64 c) (-.f64 b 1/2) (fma.f64 (log.f64 y) x a)))
(fma.f64 (log.f64 c) (-.f64 b 1/2) (fma.f64 (log.f64 y) x (fma.f64 y i a)))
(fma.f64 (log.f64 c) (+.f64 -1/2 b) (fma.f64 (log.f64 y) x (fma.f64 y i a)))
a
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 (*.f64 (log.f64 y) x) a)))
(fma.f64 y i (fma.f64 (log.f64 c) (+.f64 b -1/2) (fma.f64 (log.f64 y) x a)))
(fma.f64 y i (fma.f64 (log.f64 c) (-.f64 b 1/2) (fma.f64 (log.f64 y) x a)))
(fma.f64 (log.f64 c) (-.f64 b 1/2) (fma.f64 (log.f64 y) x (fma.f64 y i a)))
(fma.f64 (log.f64 c) (+.f64 -1/2 b) (fma.f64 (log.f64 y) x (fma.f64 y i a)))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 (*.f64 (log.f64 y) x) a)))
(fma.f64 y i (fma.f64 (log.f64 c) (+.f64 b -1/2) (fma.f64 (log.f64 y) x a)))
(fma.f64 y i (fma.f64 (log.f64 c) (-.f64 b 1/2) (fma.f64 (log.f64 y) x a)))
(fma.f64 (log.f64 c) (-.f64 b 1/2) (fma.f64 (log.f64 y) x (fma.f64 y i a)))
(fma.f64 (log.f64 c) (+.f64 -1/2 b) (fma.f64 (log.f64 y) x (fma.f64 y i a)))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 (*.f64 (log.f64 y) x) a)))
(fma.f64 y i (fma.f64 (log.f64 c) (+.f64 b -1/2) (fma.f64 (log.f64 y) x a)))
(fma.f64 y i (fma.f64 (log.f64 c) (-.f64 b 1/2) (fma.f64 (log.f64 y) x a)))
(fma.f64 (log.f64 c) (-.f64 b 1/2) (fma.f64 (log.f64 y) x (fma.f64 y i a)))
(fma.f64 (log.f64 c) (+.f64 -1/2 b) (fma.f64 (log.f64 y) x (fma.f64 y i a)))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 y) x) (+.f64 a (+.f64 (*.f64 (log.f64 c) (-.f64 b 1/2)) t))))
(fma.f64 y i (+.f64 (fma.f64 (log.f64 y) x a) (fma.f64 (log.f64 c) (+.f64 b -1/2) t)))
(+.f64 (fma.f64 y i (fma.f64 (log.f64 c) (-.f64 b 1/2) (fma.f64 (log.f64 y) x a))) t)
(+.f64 (fma.f64 (log.f64 y) x (fma.f64 y i a)) (fma.f64 (log.f64 c) (-.f64 b 1/2) t))
(+.f64 (fma.f64 (log.f64 y) x (fma.f64 y i a)) (fma.f64 (log.f64 c) (+.f64 -1/2 b) t))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 (*.f64 (log.f64 y) x) (+.f64 t z)))))
(+.f64 (fma.f64 y i a) (fma.f64 (log.f64 y) x (+.f64 (fma.f64 (log.f64 c) (+.f64 b -1/2) t) z)))
(+.f64 (fma.f64 (log.f64 c) (-.f64 b 1/2) (fma.f64 y i a)) (+.f64 z (fma.f64 (log.f64 y) x t)))
(+.f64 (fma.f64 (log.f64 c) (-.f64 b 1/2) a) (+.f64 t (fma.f64 y i (fma.f64 (log.f64 y) x z))))
(+.f64 a (fma.f64 (log.f64 c) (+.f64 -1/2 b) (+.f64 t (fma.f64 y i (fma.f64 (log.f64 y) x z)))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 (*.f64 (log.f64 y) x) (+.f64 t z)))))
(+.f64 (fma.f64 y i a) (fma.f64 (log.f64 y) x (+.f64 (fma.f64 (log.f64 c) (+.f64 b -1/2) t) z)))
(+.f64 (fma.f64 (log.f64 c) (-.f64 b 1/2) (fma.f64 y i a)) (+.f64 z (fma.f64 (log.f64 y) x t)))
(+.f64 (fma.f64 (log.f64 c) (-.f64 b 1/2) a) (+.f64 t (fma.f64 y i (fma.f64 (log.f64 y) x z))))
(+.f64 a (fma.f64 (log.f64 c) (+.f64 -1/2 b) (+.f64 t (fma.f64 y i (fma.f64 (log.f64 y) x z)))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 (*.f64 (log.f64 y) x) (+.f64 t z)))))
(+.f64 (fma.f64 y i a) (fma.f64 (log.f64 y) x (+.f64 (fma.f64 (log.f64 c) (+.f64 b -1/2) t) z)))
(+.f64 (fma.f64 (log.f64 c) (-.f64 b 1/2) (fma.f64 y i a)) (+.f64 z (fma.f64 (log.f64 y) x t)))
(+.f64 (fma.f64 (log.f64 c) (-.f64 b 1/2) a) (+.f64 t (fma.f64 y i (fma.f64 (log.f64 y) x z))))
(+.f64 a (fma.f64 (log.f64 c) (+.f64 -1/2 b) (+.f64 t (fma.f64 y i (fma.f64 (log.f64 y) x z)))))
z
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 (*.f64 (log.f64 y) x) (+.f64 t z)))))
(+.f64 (fma.f64 y i a) (fma.f64 (log.f64 y) x (+.f64 (fma.f64 (log.f64 c) (+.f64 b -1/2) t) z)))
(+.f64 (fma.f64 (log.f64 c) (-.f64 b 1/2) (fma.f64 y i a)) (+.f64 z (fma.f64 (log.f64 y) x t)))
(+.f64 (fma.f64 (log.f64 c) (-.f64 b 1/2) a) (+.f64 t (fma.f64 y i (fma.f64 (log.f64 y) x z))))
(+.f64 a (fma.f64 (log.f64 c) (+.f64 -1/2 b) (+.f64 t (fma.f64 y i (fma.f64 (log.f64 y) x z)))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 (*.f64 (log.f64 y) x) (+.f64 t z)))))
(+.f64 (fma.f64 y i a) (fma.f64 (log.f64 y) x (+.f64 (fma.f64 (log.f64 c) (+.f64 b -1/2) t) z)))
(+.f64 (fma.f64 (log.f64 c) (-.f64 b 1/2) (fma.f64 y i a)) (+.f64 z (fma.f64 (log.f64 y) x t)))
(+.f64 (fma.f64 (log.f64 c) (-.f64 b 1/2) a) (+.f64 t (fma.f64 y i (fma.f64 (log.f64 y) x z))))
(+.f64 a (fma.f64 (log.f64 c) (+.f64 -1/2 b) (+.f64 t (fma.f64 y i (fma.f64 (log.f64 y) x z)))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 (*.f64 (log.f64 y) x) (+.f64 t z)))))
(+.f64 (fma.f64 y i a) (fma.f64 (log.f64 y) x (+.f64 (fma.f64 (log.f64 c) (+.f64 b -1/2) t) z)))
(+.f64 (fma.f64 (log.f64 c) (-.f64 b 1/2) (fma.f64 y i a)) (+.f64 z (fma.f64 (log.f64 y) x t)))
(+.f64 (fma.f64 (log.f64 c) (-.f64 b 1/2) a) (+.f64 t (fma.f64 y i (fma.f64 (log.f64 y) x z))))
(+.f64 a (fma.f64 (log.f64 c) (+.f64 -1/2 b) (+.f64 t (fma.f64 y i (fma.f64 (log.f64 y) x z)))))
z
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 (*.f64 (log.f64 y) x) (+.f64 t z)))))
(+.f64 (fma.f64 y i a) (fma.f64 (log.f64 y) x (+.f64 (fma.f64 (log.f64 c) (+.f64 b -1/2) t) z)))
(+.f64 (fma.f64 (log.f64 c) (-.f64 b 1/2) (fma.f64 y i a)) (+.f64 z (fma.f64 (log.f64 y) x t)))
(+.f64 (fma.f64 (log.f64 c) (-.f64 b 1/2) a) (+.f64 t (fma.f64 y i (fma.f64 (log.f64 y) x z))))
(+.f64 a (fma.f64 (log.f64 c) (+.f64 -1/2 b) (+.f64 t (fma.f64 y i (fma.f64 (log.f64 y) x z)))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 (*.f64 (log.f64 y) x) (+.f64 t z)))))
(+.f64 (fma.f64 y i a) (fma.f64 (log.f64 y) x (+.f64 (fma.f64 (log.f64 c) (+.f64 b -1/2) t) z)))
(+.f64 (fma.f64 (log.f64 c) (-.f64 b 1/2) (fma.f64 y i a)) (+.f64 z (fma.f64 (log.f64 y) x t)))
(+.f64 (fma.f64 (log.f64 c) (-.f64 b 1/2) a) (+.f64 t (fma.f64 y i (fma.f64 (log.f64 y) x z))))
(+.f64 a (fma.f64 (log.f64 c) (+.f64 -1/2 b) (+.f64 t (fma.f64 y i (fma.f64 (log.f64 y) x z)))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 (*.f64 (log.f64 y) x) (+.f64 t z)))))
(+.f64 (fma.f64 y i a) (fma.f64 (log.f64 y) x (+.f64 (fma.f64 (log.f64 c) (+.f64 b -1/2) t) z)))
(+.f64 (fma.f64 (log.f64 c) (-.f64 b 1/2) (fma.f64 y i a)) (+.f64 z (fma.f64 (log.f64 y) x t)))
(+.f64 (fma.f64 (log.f64 c) (-.f64 b 1/2) a) (+.f64 t (fma.f64 y i (fma.f64 (log.f64 y) x z))))
(+.f64 a (fma.f64 (log.f64 c) (+.f64 -1/2 b) (+.f64 t (fma.f64 y i (fma.f64 (log.f64 y) x z)))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 y) x) (+.f64 a (+.f64 (*.f64 (log.f64 c) (-.f64 b 1/2)) z))))
(fma.f64 y i (+.f64 (fma.f64 (log.f64 y) x a) (fma.f64 (log.f64 c) (+.f64 b -1/2) z)))
(+.f64 (fma.f64 y i (fma.f64 (log.f64 c) (-.f64 b 1/2) (fma.f64 (log.f64 y) x a))) z)
(+.f64 (fma.f64 (log.f64 y) x (fma.f64 y i a)) (fma.f64 (log.f64 c) (-.f64 b 1/2) z))
(+.f64 (fma.f64 (log.f64 y) x (fma.f64 y i a)) (fma.f64 (log.f64 c) (+.f64 -1/2 b) z))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 (*.f64 (log.f64 y) x) (+.f64 t z)))))
(+.f64 (fma.f64 y i a) (fma.f64 (log.f64 y) x (+.f64 (fma.f64 (log.f64 c) (+.f64 b -1/2) t) z)))
(+.f64 (fma.f64 (log.f64 c) (-.f64 b 1/2) (fma.f64 y i a)) (+.f64 z (fma.f64 (log.f64 y) x t)))
(+.f64 (fma.f64 (log.f64 c) (-.f64 b 1/2) a) (+.f64 t (fma.f64 y i (fma.f64 (log.f64 y) x z))))
(+.f64 a (fma.f64 (log.f64 c) (+.f64 -1/2 b) (+.f64 t (fma.f64 y i (fma.f64 (log.f64 y) x z)))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 (*.f64 (log.f64 y) x) (+.f64 t z)))))
(+.f64 (fma.f64 y i a) (fma.f64 (log.f64 y) x (+.f64 (fma.f64 (log.f64 c) (+.f64 b -1/2) t) z)))
(+.f64 (fma.f64 (log.f64 c) (-.f64 b 1/2) (fma.f64 y i a)) (+.f64 z (fma.f64 (log.f64 y) x t)))
(+.f64 (fma.f64 (log.f64 c) (-.f64 b 1/2) a) (+.f64 t (fma.f64 y i (fma.f64 (log.f64 y) x z))))
(+.f64 a (fma.f64 (log.f64 c) (+.f64 -1/2 b) (+.f64 t (fma.f64 y i (fma.f64 (log.f64 y) x z)))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 (*.f64 (log.f64 y) x) (+.f64 t z)))))
(+.f64 (fma.f64 y i a) (fma.f64 (log.f64 y) x (+.f64 (fma.f64 (log.f64 c) (+.f64 b -1/2) t) z)))
(+.f64 (fma.f64 (log.f64 c) (-.f64 b 1/2) (fma.f64 y i a)) (+.f64 z (fma.f64 (log.f64 y) x t)))
(+.f64 (fma.f64 (log.f64 c) (-.f64 b 1/2) a) (+.f64 t (fma.f64 y i (fma.f64 (log.f64 y) x z))))
(+.f64 a (fma.f64 (log.f64 c) (+.f64 -1/2 b) (+.f64 t (fma.f64 y i (fma.f64 (log.f64 y) x z)))))
t
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 (*.f64 (log.f64 y) x) (+.f64 t z)))))
(+.f64 (fma.f64 y i a) (fma.f64 (log.f64 y) x (+.f64 (fma.f64 (log.f64 c) (+.f64 b -1/2) t) z)))
(+.f64 (fma.f64 (log.f64 c) (-.f64 b 1/2) (fma.f64 y i a)) (+.f64 z (fma.f64 (log.f64 y) x t)))
(+.f64 (fma.f64 (log.f64 c) (-.f64 b 1/2) a) (+.f64 t (fma.f64 y i (fma.f64 (log.f64 y) x z))))
(+.f64 a (fma.f64 (log.f64 c) (+.f64 -1/2 b) (+.f64 t (fma.f64 y i (fma.f64 (log.f64 y) x z)))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 (*.f64 (log.f64 y) x) (+.f64 t z)))))
(+.f64 (fma.f64 y i a) (fma.f64 (log.f64 y) x (+.f64 (fma.f64 (log.f64 c) (+.f64 b -1/2) t) z)))
(+.f64 (fma.f64 (log.f64 c) (-.f64 b 1/2) (fma.f64 y i a)) (+.f64 z (fma.f64 (log.f64 y) x t)))
(+.f64 (fma.f64 (log.f64 c) (-.f64 b 1/2) a) (+.f64 t (fma.f64 y i (fma.f64 (log.f64 y) x z))))
(+.f64 a (fma.f64 (log.f64 c) (+.f64 -1/2 b) (+.f64 t (fma.f64 y i (fma.f64 (log.f64 y) x z)))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 (*.f64 (log.f64 y) x) (+.f64 t z)))))
(+.f64 (fma.f64 y i a) (fma.f64 (log.f64 y) x (+.f64 (fma.f64 (log.f64 c) (+.f64 b -1/2) t) z)))
(+.f64 (fma.f64 (log.f64 c) (-.f64 b 1/2) (fma.f64 y i a)) (+.f64 z (fma.f64 (log.f64 y) x t)))
(+.f64 (fma.f64 (log.f64 c) (-.f64 b 1/2) a) (+.f64 t (fma.f64 y i (fma.f64 (log.f64 y) x z))))
(+.f64 a (fma.f64 (log.f64 c) (+.f64 -1/2 b) (+.f64 t (fma.f64 y i (fma.f64 (log.f64 y) x z)))))
t
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(fma.f64 (log.f64 c) (+.f64 b -1/2) (fma.f64 y i a))
(fma.f64 (log.f64 c) (-.f64 b 1/2) (fma.f64 y i a))
(fma.f64 (log.f64 c) (+.f64 -1/2 b) (fma.f64 y i a))
(+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (+.f64 a (.f64 i y)))
(fma.f64 (log.f64 c) (+.f64 b -1/2) (fma.f64 y i a))
(fma.f64 (log.f64 c) (-.f64 b 1/2) (fma.f64 y i a))
(fma.f64 (log.f64 c) (+.f64 -1/2 b) (fma.f64 y i a))
(+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (+.f64 a (.f64 i y)))
(fma.f64 (log.f64 c) (+.f64 b -1/2) (fma.f64 y i a))
(fma.f64 (log.f64 c) (-.f64 b 1/2) (fma.f64 y i a))
(fma.f64 (log.f64 c) (+.f64 -1/2 b) (fma.f64 y i a))
(+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (+.f64 a (.f64 i y)))
(fma.f64 (log.f64 c) (+.f64 b -1/2) (fma.f64 y i a))
(fma.f64 (log.f64 c) (-.f64 b 1/2) (fma.f64 y i a))
(fma.f64 (log.f64 c) (+.f64 -1/2 b) (fma.f64 y i a))
(+.f64 (.f64 -1 (.f64 (-.f64 b 1/2) (log.f64 (/.f64 1 c)))) (+.f64 a (*.f64 i y)))
(fma.f64 (log.f64 c) (+.f64 b -1/2) (fma.f64 y i a))
(fma.f64 (log.f64 c) (-.f64 b 1/2) (fma.f64 y i a))
(fma.f64 (log.f64 c) (+.f64 -1/2 b) (fma.f64 y i a))
(+.f64 (.f64 -1 (.f64 (-.f64 b 1/2) (log.f64 (/.f64 1 c)))) (+.f64 a (*.f64 i y)))
(fma.f64 (log.f64 c) (+.f64 b -1/2) (fma.f64 y i a))
(fma.f64 (log.f64 c) (-.f64 b 1/2) (fma.f64 y i a))
(fma.f64 (log.f64 c) (+.f64 -1/2 b) (fma.f64 y i a))
(+.f64 (.f64 -1 (.f64 (-.f64 b 1/2) (log.f64 (/.f64 1 c)))) (+.f64 a (*.f64 i y)))
(fma.f64 (log.f64 c) (+.f64 b -1/2) (fma.f64 y i a))
(fma.f64 (log.f64 c) (-.f64 b 1/2) (fma.f64 y i a))
(fma.f64 (log.f64 c) (+.f64 -1/2 b) (fma.f64 y i a))
(+.f64 (.f64 -1 (.f64 (-.f64 b 1/2) (log.f64 (/.f64 1 c)))) (+.f64 a (*.f64 i y)))
(fma.f64 (log.f64 c) (+.f64 b -1/2) (fma.f64 y i a))
(fma.f64 (log.f64 c) (-.f64 b 1/2) (fma.f64 y i a))
(fma.f64 (log.f64 c) (+.f64 -1/2 b) (fma.f64 y i a))
(+.f64 a (+.f64 (.f64 (-.f64 b 1/2) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 c))))) (*.f64 i y)))
(fma.f64 (log.f64 c) (+.f64 b -1/2) (fma.f64 y i a))
(fma.f64 (log.f64 c) (-.f64 b 1/2) (fma.f64 y i a))
(fma.f64 (log.f64 c) (+.f64 -1/2 b) (fma.f64 y i a))
(+.f64 a (+.f64 (.f64 (-.f64 b 1/2) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 c))))) (*.f64 i y)))
(fma.f64 (log.f64 c) (+.f64 b -1/2) (fma.f64 y i a))
(fma.f64 (log.f64 c) (-.f64 b 1/2) (fma.f64 y i a))
(fma.f64 (log.f64 c) (+.f64 -1/2 b) (fma.f64 y i a))
(+.f64 a (+.f64 (.f64 (-.f64 b 1/2) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 c))))) (*.f64 i y)))
(fma.f64 (log.f64 c) (+.f64 b -1/2) (fma.f64 y i a))
(fma.f64 (log.f64 c) (-.f64 b 1/2) (fma.f64 y i a))
(fma.f64 (log.f64 c) (+.f64 -1/2 b) (fma.f64 y i a))
(+.f64 a (+.f64 (.f64 (-.f64 b 1/2) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 c))))) (*.f64 i y)))
(fma.f64 (log.f64 c) (+.f64 b -1/2) (fma.f64 y i a))
(fma.f64 (log.f64 c) (-.f64 b 1/2) (fma.f64 y i a))
(fma.f64 (log.f64 c) (+.f64 -1/2 b) (fma.f64 y i a))
(+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (.f64 i y))
(fma.f64 (+.f64 b -1/2) (log.f64 c) (*.f64 y i))
(fma.f64 (log.f64 c) (-.f64 b 1/2) (*.f64 y i))
(fma.f64 (log.f64 c) (+.f64 -1/2 b) (*.f64 y i))
(+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (+.f64 a (.f64 i y)))
(fma.f64 (log.f64 c) (+.f64 b -1/2) (fma.f64 y i a))
(fma.f64 (log.f64 c) (-.f64 b 1/2) (fma.f64 y i a))
(fma.f64 (log.f64 c) (+.f64 -1/2 b) (fma.f64 y i a))
(+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (+.f64 a (.f64 i y)))
(fma.f64 (log.f64 c) (+.f64 b -1/2) (fma.f64 y i a))
(fma.f64 (log.f64 c) (-.f64 b 1/2) (fma.f64 y i a))
(fma.f64 (log.f64 c) (+.f64 -1/2 b) (fma.f64 y i a))
(+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (+.f64 a (.f64 i y)))
(fma.f64 (log.f64 c) (+.f64 b -1/2) (fma.f64 y i a))
(fma.f64 (log.f64 c) (-.f64 b 1/2) (fma.f64 y i a))
(fma.f64 (log.f64 c) (+.f64 -1/2 b) (fma.f64 y i a))
a
(+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (+.f64 a (.f64 i y)))
(fma.f64 (log.f64 c) (+.f64 b -1/2) (fma.f64 y i a))
(fma.f64 (log.f64 c) (-.f64 b 1/2) (fma.f64 y i a))
(fma.f64 (log.f64 c) (+.f64 -1/2 b) (fma.f64 y i a))
(+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (+.f64 a (.f64 i y)))
(fma.f64 (log.f64 c) (+.f64 b -1/2) (fma.f64 y i a))
(fma.f64 (log.f64 c) (-.f64 b 1/2) (fma.f64 y i a))
(fma.f64 (log.f64 c) (+.f64 -1/2 b) (fma.f64 y i a))
(+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (+.f64 a (.f64 i y)))
(fma.f64 (log.f64 c) (+.f64 b -1/2) (fma.f64 y i a))
(fma.f64 (log.f64 c) (-.f64 b 1/2) (fma.f64 y i a))
(fma.f64 (log.f64 c) (+.f64 -1/2 b) (fma.f64 y i a))
a
(+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (+.f64 a (.f64 i y)))
(fma.f64 (log.f64 c) (+.f64 b -1/2) (fma.f64 y i a))
(fma.f64 (log.f64 c) (-.f64 b 1/2) (fma.f64 y i a))
(fma.f64 (log.f64 c) (+.f64 -1/2 b) (fma.f64 y i a))
(+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (+.f64 a (.f64 i y)))
(fma.f64 (log.f64 c) (+.f64 b -1/2) (fma.f64 y i a))
(fma.f64 (log.f64 c) (-.f64 b 1/2) (fma.f64 y i a))
(fma.f64 (log.f64 c) (+.f64 -1/2 b) (fma.f64 y i a))
(+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (+.f64 a (.f64 i y)))
(fma.f64 (log.f64 c) (+.f64 b -1/2) (fma.f64 y i a))
(fma.f64 (log.f64 c) (-.f64 b 1/2) (fma.f64 y i a))
(fma.f64 (log.f64 c) (+.f64 -1/2 b) (fma.f64 y i a))

prune273.0ms (2.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	167	4	171
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	168	4	172

Error

0.0b

Counts

172 → 4

Alt Table

Status	Error	Program
	39.0b	(+.f64 z (+.f64 t (fma.f64 x (log.f64 y) (fma.f64 y i (cbrt.f64 (pow.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) a) 3))))))
▶	0.1b	(+.f64 a (fma.f64 (log.f64 c) (+.f64 -1/2 b) (+.f64 t (fma.f64 y i (fma.f64 (log.f64 y) x z)))))
	20.3b	(+.f64 z (+.f64 t (pow.f64 (sqrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))) 2)))
	0.9b	(+.f64 z (+.f64 t (*.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))) (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))) 2))))

Compiler

Compiled 4462 to 1990 computations (55.4% saved)

localize18.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 a (fma.f64 (log.f64 c) (+.f64 -1/2 b) (+.f64 t (fma.f64 y i (fma.f64 (log.f64 y) x z)))))
✓	0.1b	(fma.f64 (log.f64 c) (+.f64 -1/2 b) (+.f64 t (fma.f64 y i (fma.f64 (log.f64 y) x z))))
✓	0.1b	(fma.f64 (log.f64 y) x z)

New

Error

Program

✓

0.0b

(+.f64 a (fma.f64 (log.f64 c) (+.f64 -1/2 b) (+.f64 t (fma.f64 y i (fma.f64 (log.f64 y) x z)))))

✓

0.1b

(fma.f64 (log.f64 c) (+.f64 -1/2 b) (+.f64 t (fma.f64 y i (fma.f64 (log.f64 y) x z))))

✓

0.1b

(fma.f64 (log.f64 y) x z)

series47.0ms (0.4%)

Counts

3 → 216

Calls

54 calls:

Time	Variable		Point	Expression
9.0ms	y	@	-inf	(fma.f64 (log.f64 y) x z)
8.0ms	y	@	inf	(fma.f64 (log.f64 y) x z)
6.0ms	y	@	0	(fma.f64 (log.f64 y) x z)
3.0ms	a	@	0	(+.f64 a (fma.f64 (log.f64 c) (+.f64 -1/2 b) (+.f64 t (fma.f64 y i (fma.f64 (log.f64 y) x z)))))
1.0ms	c	@	0	(fma.f64 (log.f64 c) (+.f64 -1/2 b) (+.f64 t (fma.f64 y i (fma.f64 (log.f64 y) x z))))

rewrite42.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

202×	`add-sqr-sqrt_binary64`
199×	`*-un-lft-identity_binary64`
199×	`pow1_binary64`
188×	`add-exp-log_binary64`
188×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	56
1	381	56

Stop Event

1×	node limit

Counts

3 → 81

Calls

Call 1

Inputs
(fma.f64 (log.f64 y) x z)
(fma.f64 (log.f64 c) (+.f64 -1/2 b) (+.f64 t (fma.f64 y i (fma.f64 (log.f64 y) x z))))
(+.f64 a (fma.f64 (log.f64 c) (+.f64 -1/2 b) (+.f64 t (fma.f64 y i (fma.f64 (log.f64 y) x z)))))

Inputs

(fma.f64 (log.f64 y) x z)

(fma.f64 (log.f64 c) (+.f64 -1/2 b) (+.f64 t (fma.f64 y i (fma.f64 (log.f64 y) x z))))

(+.f64 a (fma.f64 (log.f64 c) (+.f64 -1/2 b) (+.f64 t (fma.f64 y i (fma.f64 (log.f64 y) x z)))))

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

Outputs

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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (fma.f64 (log.f64 c) (+.f64 -1/2 b) (+.f64 t (fma.f64 y i (fma.f64 (log.f64 y) x z)))) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (fma.f64 (log.f64 c) (+.f64 -1/2 b) (+.f64 t (fma.f64 y i (fma.f64 (log.f64 y) x z)))) a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (fma.f64 (log.f64 c) (+.f64 -1/2 b) (+.f64 t (fma.f64 y i (fma.f64 (log.f64 y) x z)))) a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (fma.f64 (log.f64 c) (+.f64 -1/2 b) (+.f64 t (fma.f64 y i (fma.f64 (log.f64 y) x z)))) a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (fma.f64 (log.f64 c) (+.f64 -1/2 b) (+.f64 t (fma.f64 y i (fma.f64 (log.f64 y) x z)))) a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (fma.f64 (log.f64 c) (+.f64 -1/2 b) (+.f64 t (fma.f64 y i (fma.f64 (log.f64 y) x z)))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x 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simplify97.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

999×	`fma-def_binary64`
550×	`+-commutative_binary64`
363×	`associate-+r+_binary64`
354×	`associate-+l-_binary64`
245×	`associate-+r-_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	136	4204
1	461	4060
2	1454	4060
3	2399	4060

Stop Event

1×	node limit

Counts

297 → 134

Calls

Call 1

Inputs
(+.f64 (*.f64 (log.f64 y) x) z)
(+.f64 (*.f64 (log.f64 y) x) z)
(+.f64 (*.f64 (log.f64 y) x) z)
(+.f64 (*.f64 (log.f64 y) x) z)
(+.f64 z (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x)))
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(+.f64 z (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x)))
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(+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) z)
z
(+.f64 (*.f64 (log.f64 y) x) z)
(+.f64 (*.f64 (log.f64 y) x) z)
(+.f64 (*.f64 (log.f64 y) x) z)
(*.f64 (log.f64 y) x)
(+.f64 (*.f64 (log.f64 y) x) z)
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(*.f64 (log.f64 y) x)
(+.f64 (*.f64 (log.f64 y) x) z)
(+.f64 (*.f64 (log.f64 y) x) z)
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(*.f64 (log.f64 y) x)
(+.f64 (*.f64 (log.f64 y) x) z)
(+.f64 (*.f64 (log.f64 y) x) z)
(+.f64 (*.f64 (log.f64 y) x) z)
z
(+.f64 (*.f64 (log.f64 y) x) z)
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(+.f64 (*.f64 (log.f64 y) x) z)
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(*.f64 (log.f64 c) b)
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(+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (+.f64 (.f64 (log.f64 y) x) (+.f64 t (+.f64 z (*.f64 i y)))))
t
(+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (+.f64 (.f64 (log.f64 y) x) (+.f64 t (+.f64 z (*.f64 i y)))))
(+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (+.f64 (.f64 (log.f64 y) x) (+.f64 t (+.f64 z (*.f64 i y)))))
(+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (+.f64 (.f64 (log.f64 y) x) (+.f64 t (+.f64 z (*.f64 i y)))))
t
(+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (+.f64 (.f64 (log.f64 y) x) (+.f64 t (+.f64 z (*.f64 i y)))))
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(*.f64 i y)
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(*.f64 i y)
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(*.f64 (log.f64 y) x)
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(*.f64 (log.f64 y) x)
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z
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z
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a
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a
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(*.f64 (log.f64 c) b)
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(*.f64 (log.f64 c) b)
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t
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 (*.f64 (log.f64 y) x) (+.f64 t z)))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 (*.f64 (log.f64 y) x) (+.f64 t z)))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 (*.f64 (log.f64 y) x) (+.f64 t z)))))
t
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 (*.f64 (log.f64 y) x) (+.f64 a (+.f64 t z)))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 (*.f64 (log.f64 y) x) (+.f64 a (+.f64 t z)))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 (*.f64 (log.f64 y) x) (+.f64 a (+.f64 t z)))))
(+.f64 (.f64 (log.f64 y) x) (+.f64 a (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 t z))))
(+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 (.f64 (log.f64 y) x) (+.f64 t (+.f64 z (*.f64 i y))))))
(+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 (.f64 (log.f64 y) x) (+.f64 t (+.f64 z (*.f64 i y))))))
(+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 (.f64 (log.f64 y) x) (+.f64 t (+.f64 z (*.f64 i y))))))
(*.f64 i y)
(+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 t (+.f64 z (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x)) (.f64 i y))))))
(+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 t (+.f64 z (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x)) (.f64 i y))))))
(+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 t (+.f64 z (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x)) (.f64 i y))))))
(*.f64 i y)
(+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 t (+.f64 z (.f64 i y))))))
(+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 t (+.f64 z (.f64 i y))))))
(+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 t (+.f64 z (.f64 i y))))))
(+.f64 (.f64 (log.f64 y) x) (+.f64 a (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 t z))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 (*.f64 (log.f64 y) x) (+.f64 t z)))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 (*.f64 (log.f64 y) x) (+.f64 t z)))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 (*.f64 (log.f64 y) x) (+.f64 t z)))))
(*.f64 y i)
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 (*.f64 (log.f64 y) x) (+.f64 a (+.f64 t z)))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 (*.f64 (log.f64 y) x) (+.f64 a (+.f64 t z)))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 (*.f64 (log.f64 y) x) (+.f64 a (+.f64 t z)))))
(*.f64 y i)
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 (*.f64 (log.f64 y) x) (+.f64 t z)))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 (*.f64 (log.f64 y) x) (+.f64 t z)))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 (*.f64 (log.f64 y) x) (+.f64 t z)))))
(+.f64 (.f64 y i) (+.f64 a (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 t z))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 y) x) (+.f64 (*.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 t z)))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 y) x) (+.f64 (*.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 t z)))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 y) x) (+.f64 (*.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 t z)))))
(*.f64 (log.f64 y) x)
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 (*.f64 (log.f64 y) x) (+.f64 t z)))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 (*.f64 (log.f64 y) x) (+.f64 t z)))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 (*.f64 (log.f64 y) x) (+.f64 t z)))))
(*.f64 (log.f64 y) x)
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 (*.f64 (log.f64 y) x) (+.f64 t z)))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 (*.f64 (log.f64 y) x) (+.f64 t z)))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 (*.f64 (log.f64 y) x) (+.f64 t z)))))
(+.f64 (.f64 y i) (+.f64 a (+.f64 (.f64 (log.f64 y) x) (+.f64 (*.f64 (log.f64 c) (-.f64 b 1/2)) t))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 (*.f64 (log.f64 y) x) (+.f64 a (+.f64 t z)))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 (*.f64 (log.f64 y) x) (+.f64 a (+.f64 t z)))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 (*.f64 (log.f64 y) x) (+.f64 a (+.f64 t z)))))
z
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 (*.f64 (log.f64 y) x) (+.f64 t z)))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 (*.f64 (log.f64 y) x) (+.f64 t z)))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 (*.f64 (log.f64 y) x) (+.f64 t z)))))
z
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 (*.f64 (log.f64 y) x) (+.f64 t z)))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 (*.f64 (log.f64 y) x) (+.f64 t z)))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 (*.f64 (log.f64 y) x) (+.f64 t z)))))

Outputs
(+.f64 (*.f64 (log.f64 y) x) z)
(fma.f64 (log.f64 y) x z)
(+.f64 (*.f64 (log.f64 y) x) z)
(fma.f64 (log.f64 y) x z)
(+.f64 (*.f64 (log.f64 y) x) z)
(fma.f64 (log.f64 y) x z)
(+.f64 (*.f64 (log.f64 y) x) z)
(fma.f64 (log.f64 y) x z)
(+.f64 z (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x)))
(fma.f64 (log.f64 y) x z)
(+.f64 z (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x)))
(fma.f64 (log.f64 y) x z)
(+.f64 z (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x)))
(fma.f64 (log.f64 y) x z)
(+.f64 z (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x)))
(fma.f64 (log.f64 y) x z)
(+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) z)
(fma.f64 (log.f64 y) x z)
(+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) z)
(fma.f64 (log.f64 y) x z)
(+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) z)
(fma.f64 (log.f64 y) x z)
(+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) z)
(fma.f64 (log.f64 y) x z)
z
(+.f64 (*.f64 (log.f64 y) x) z)
(fma.f64 (log.f64 y) x z)
(+.f64 (*.f64 (log.f64 y) x) z)
(fma.f64 (log.f64 y) x z)
(+.f64 (*.f64 (log.f64 y) x) z)
(fma.f64 (log.f64 y) x z)
(*.f64 (log.f64 y) x)
(+.f64 (*.f64 (log.f64 y) x) z)
(fma.f64 (log.f64 y) x z)
(+.f64 (*.f64 (log.f64 y) x) z)
(fma.f64 (log.f64 y) x z)
(+.f64 (*.f64 (log.f64 y) x) z)
(fma.f64 (log.f64 y) x z)
(*.f64 (log.f64 y) x)
(+.f64 (*.f64 (log.f64 y) x) z)
(fma.f64 (log.f64 y) x z)
(+.f64 (*.f64 (log.f64 y) x) z)
(fma.f64 (log.f64 y) x z)
(+.f64 (*.f64 (log.f64 y) x) z)
(fma.f64 (log.f64 y) x z)
(*.f64 (log.f64 y) x)
(+.f64 (*.f64 (log.f64 y) x) z)
(fma.f64 (log.f64 y) x z)
(+.f64 (*.f64 (log.f64 y) x) z)
(fma.f64 (log.f64 y) x z)
(+.f64 (*.f64 (log.f64 y) x) z)
(fma.f64 (log.f64 y) x z)
z
(+.f64 (*.f64 (log.f64 y) x) z)
(fma.f64 (log.f64 y) x z)
(+.f64 (*.f64 (log.f64 y) x) z)
(fma.f64 (log.f64 y) x z)
(+.f64 (*.f64 (log.f64 y) x) z)
(fma.f64 (log.f64 y) x z)
z
(+.f64 (*.f64 (log.f64 y) x) z)
(fma.f64 (log.f64 y) x z)
(+.f64 (*.f64 (log.f64 y) x) z)
(fma.f64 (log.f64 y) x z)
(+.f64 (*.f64 (log.f64 y) x) z)
(fma.f64 (log.f64 y) x z)
(+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (+.f64 (.f64 (log.f64 y) x) (+.f64 t (+.f64 z (*.f64 i y)))))
(fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x (+.f64 t (+.f64 z (*.f64 y i)))))
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(+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (+.f64 (.f64 (log.f64 y) x) (+.f64 t (+.f64 z (*.f64 i y)))))
(fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x (+.f64 t (+.f64 z (*.f64 y i)))))
(+.f64 (fma.f64 (log.f64 y) x (fma.f64 (-.f64 b 1/2) (log.f64 c) t)) (fma.f64 y i z))
(+.f64 (fma.f64 y i z) (fma.f64 (log.f64 y) x (fma.f64 (-.f64 b 1/2) (log.f64 c) t)))
(+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (+.f64 (.f64 (log.f64 y) x) (+.f64 t (+.f64 z (*.f64 i y)))))
(fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x (+.f64 t (+.f64 z (*.f64 y i)))))
(+.f64 (fma.f64 (log.f64 y) x (fma.f64 (-.f64 b 1/2) (log.f64 c) t)) (fma.f64 y i z))
(+.f64 (fma.f64 y i z) (fma.f64 (log.f64 y) x (fma.f64 (-.f64 b 1/2) (log.f64 c) t)))
(+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (+.f64 (.f64 (log.f64 y) x) (+.f64 t (+.f64 z (*.f64 i y)))))
(fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x (+.f64 t (+.f64 z (*.f64 y i)))))
(+.f64 (fma.f64 (log.f64 y) x (fma.f64 (-.f64 b 1/2) (log.f64 c) t)) (fma.f64 y i z))
(+.f64 (fma.f64 y i z) (fma.f64 (log.f64 y) x (fma.f64 (-.f64 b 1/2) (log.f64 c) t)))
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(fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x (+.f64 t (+.f64 z (*.f64 y i)))))
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(+.f64 (fma.f64 y i z) (fma.f64 (log.f64 y) x (fma.f64 (-.f64 b 1/2) (log.f64 c) t)))
(+.f64 (.f64 -1 (.f64 (-.f64 b 1/2) (log.f64 (/.f64 1 c)))) (+.f64 (.f64 (log.f64 y) x) (+.f64 t (+.f64 z (.f64 i y)))))
(fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x (+.f64 t (+.f64 z (*.f64 y i)))))
(+.f64 (fma.f64 (log.f64 y) x (fma.f64 (-.f64 b 1/2) (log.f64 c) t)) (fma.f64 y i z))
(+.f64 (fma.f64 y i z) (fma.f64 (log.f64 y) x (fma.f64 (-.f64 b 1/2) (log.f64 c) t)))
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(fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x (+.f64 t (+.f64 z (*.f64 y i)))))
(+.f64 (fma.f64 (log.f64 y) x (fma.f64 (-.f64 b 1/2) (log.f64 c) t)) (fma.f64 y i z))
(+.f64 (fma.f64 y i z) (fma.f64 (log.f64 y) x (fma.f64 (-.f64 b 1/2) (log.f64 c) t)))
(+.f64 (.f64 -1 (.f64 (-.f64 b 1/2) (log.f64 (/.f64 1 c)))) (+.f64 (.f64 (log.f64 y) x) (+.f64 t (+.f64 z (.f64 i y)))))
(fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x (+.f64 t (+.f64 z (*.f64 y i)))))
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(+.f64 (fma.f64 y i z) (fma.f64 (log.f64 y) x (fma.f64 (-.f64 b 1/2) (log.f64 c) t)))
(+.f64 (.f64 (log.f64 y) x) (+.f64 t (+.f64 z (+.f64 (.f64 (-.f64 b 1/2) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 c))))) (.f64 i y)))))
(fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x (+.f64 t (+.f64 z (*.f64 y i)))))
(+.f64 (fma.f64 (log.f64 y) x (fma.f64 (-.f64 b 1/2) (log.f64 c) t)) (fma.f64 y i z))
(+.f64 (fma.f64 y i z) (fma.f64 (log.f64 y) x (fma.f64 (-.f64 b 1/2) (log.f64 c) t)))
(+.f64 (.f64 (log.f64 y) x) (+.f64 t (+.f64 z (+.f64 (.f64 (-.f64 b 1/2) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 c))))) (.f64 i y)))))
(fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x (+.f64 t (+.f64 z (*.f64 y i)))))
(+.f64 (fma.f64 (log.f64 y) x (fma.f64 (-.f64 b 1/2) (log.f64 c) t)) (fma.f64 y i z))
(+.f64 (fma.f64 y i z) (fma.f64 (log.f64 y) x (fma.f64 (-.f64 b 1/2) (log.f64 c) t)))
(+.f64 (.f64 (log.f64 y) x) (+.f64 t (+.f64 z (+.f64 (.f64 (-.f64 b 1/2) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 c))))) (.f64 i y)))))
(fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x (+.f64 t (+.f64 z (*.f64 y i)))))
(+.f64 (fma.f64 (log.f64 y) x (fma.f64 (-.f64 b 1/2) (log.f64 c) t)) (fma.f64 y i z))
(+.f64 (fma.f64 y i z) (fma.f64 (log.f64 y) x (fma.f64 (-.f64 b 1/2) (log.f64 c) t)))
(+.f64 (.f64 (log.f64 y) x) (+.f64 t (+.f64 z (+.f64 (.f64 (-.f64 b 1/2) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 c))))) (.f64 i y)))))
(fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x (+.f64 t (+.f64 z (*.f64 y i)))))
(+.f64 (fma.f64 (log.f64 y) x (fma.f64 (-.f64 b 1/2) (log.f64 c) t)) (fma.f64 y i z))
(+.f64 (fma.f64 y i z) (fma.f64 (log.f64 y) x (fma.f64 (-.f64 b 1/2) (log.f64 c) t)))
(+.f64 (.f64 (log.f64 y) x) (+.f64 t (+.f64 z (+.f64 (.f64 -1/2 (log.f64 c)) (*.f64 i y)))))
(fma.f64 (log.f64 y) x (+.f64 (+.f64 z t) (fma.f64 -1/2 (log.f64 c) (*.f64 y i))))
(fma.f64 (log.f64 y) x (+.f64 (fma.f64 (log.f64 c) -1/2 z) (fma.f64 y i t)))
(+.f64 t (fma.f64 (log.f64 y) x (fma.f64 y i (fma.f64 (log.f64 c) -1/2 z))))
(+.f64 (.f64 (log.f64 y) x) (+.f64 t (+.f64 (.f64 (log.f64 c) b) (+.f64 z (+.f64 (.f64 i y) (.f64 -1/2 (log.f64 c)))))))
(fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x (+.f64 t (+.f64 z (*.f64 y i)))))
(+.f64 (fma.f64 (log.f64 y) x (fma.f64 (-.f64 b 1/2) (log.f64 c) t)) (fma.f64 y i z))
(+.f64 (fma.f64 y i z) (fma.f64 (log.f64 y) x (fma.f64 (-.f64 b 1/2) (log.f64 c) t)))
(+.f64 (.f64 (log.f64 y) x) (+.f64 t (+.f64 (.f64 (log.f64 c) b) (+.f64 z (+.f64 (.f64 i y) (.f64 -1/2 (log.f64 c)))))))
(fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x (+.f64 t (+.f64 z (*.f64 y i)))))
(+.f64 (fma.f64 (log.f64 y) x (fma.f64 (-.f64 b 1/2) (log.f64 c) t)) (fma.f64 y i z))
(+.f64 (fma.f64 y i z) (fma.f64 (log.f64 y) x (fma.f64 (-.f64 b 1/2) (log.f64 c) t)))
(+.f64 (.f64 (log.f64 y) x) (+.f64 t (+.f64 (.f64 (log.f64 c) b) (+.f64 z (+.f64 (.f64 i y) (.f64 -1/2 (log.f64 c)))))))
(fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x (+.f64 t (+.f64 z (*.f64 y i)))))
(+.f64 (fma.f64 (log.f64 y) x (fma.f64 (-.f64 b 1/2) (log.f64 c) t)) (fma.f64 y i z))
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(fma.f64 y i (+.f64 a (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x (+.f64 z t)))))
(+.f64 (fma.f64 (log.f64 y) x (+.f64 t (fma.f64 y i z))) (fma.f64 (-.f64 b 1/2) (log.f64 c) a))
(+.f64 (fma.f64 (log.f64 y) x (fma.f64 y i z)) (+.f64 t (fma.f64 (-.f64 b 1/2) (log.f64 c) a)))
(+.f64 z (+.f64 a (fma.f64 y i (fma.f64 (log.f64 y) x (fma.f64 (-.f64 b 1/2) (log.f64 c) t)))))
(*.f64 (log.f64 y) x)
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 (*.f64 (log.f64 y) x) (+.f64 t z)))))
(fma.f64 y i (+.f64 a (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x (+.f64 z t)))))
(+.f64 (fma.f64 (log.f64 y) x (+.f64 t (fma.f64 y i z))) (fma.f64 (-.f64 b 1/2) (log.f64 c) a))
(+.f64 (fma.f64 (log.f64 y) x (fma.f64 y i z)) (+.f64 t (fma.f64 (-.f64 b 1/2) (log.f64 c) a)))
(+.f64 z (+.f64 a (fma.f64 y i (fma.f64 (log.f64 y) x (fma.f64 (-.f64 b 1/2) (log.f64 c) t)))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 (*.f64 (log.f64 y) x) (+.f64 t z)))))
(fma.f64 y i (+.f64 a (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x (+.f64 z t)))))
(+.f64 (fma.f64 (log.f64 y) x (+.f64 t (fma.f64 y i z))) (fma.f64 (-.f64 b 1/2) (log.f64 c) a))
(+.f64 (fma.f64 (log.f64 y) x (fma.f64 y i z)) (+.f64 t (fma.f64 (-.f64 b 1/2) (log.f64 c) a)))
(+.f64 z (+.f64 a (fma.f64 y i (fma.f64 (log.f64 y) x (fma.f64 (-.f64 b 1/2) (log.f64 c) t)))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 (*.f64 (log.f64 y) x) (+.f64 t z)))))
(fma.f64 y i (+.f64 a (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x (+.f64 z t)))))
(+.f64 (fma.f64 (log.f64 y) x (+.f64 t (fma.f64 y i z))) (fma.f64 (-.f64 b 1/2) (log.f64 c) a))
(+.f64 (fma.f64 (log.f64 y) x (fma.f64 y i z)) (+.f64 t (fma.f64 (-.f64 b 1/2) (log.f64 c) a)))
(+.f64 z (+.f64 a (fma.f64 y i (fma.f64 (log.f64 y) x (fma.f64 (-.f64 b 1/2) (log.f64 c) t)))))
(*.f64 (log.f64 y) x)
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 (*.f64 (log.f64 y) x) (+.f64 t z)))))
(fma.f64 y i (+.f64 a (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x (+.f64 z t)))))
(+.f64 (fma.f64 (log.f64 y) x (+.f64 t (fma.f64 y i z))) (fma.f64 (-.f64 b 1/2) (log.f64 c) a))
(+.f64 (fma.f64 (log.f64 y) x (fma.f64 y i z)) (+.f64 t (fma.f64 (-.f64 b 1/2) (log.f64 c) a)))
(+.f64 z (+.f64 a (fma.f64 y i (fma.f64 (log.f64 y) x (fma.f64 (-.f64 b 1/2) (log.f64 c) t)))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 (*.f64 (log.f64 y) x) (+.f64 t z)))))
(fma.f64 y i (+.f64 a (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x (+.f64 z t)))))
(+.f64 (fma.f64 (log.f64 y) x (+.f64 t (fma.f64 y i z))) (fma.f64 (-.f64 b 1/2) (log.f64 c) a))
(+.f64 (fma.f64 (log.f64 y) x (fma.f64 y i z)) (+.f64 t (fma.f64 (-.f64 b 1/2) (log.f64 c) a)))
(+.f64 z (+.f64 a (fma.f64 y i (fma.f64 (log.f64 y) x (fma.f64 (-.f64 b 1/2) (log.f64 c) t)))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 (*.f64 (log.f64 y) x) (+.f64 t z)))))
(fma.f64 y i (+.f64 a (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x (+.f64 z t)))))
(+.f64 (fma.f64 (log.f64 y) x (+.f64 t (fma.f64 y i z))) (fma.f64 (-.f64 b 1/2) (log.f64 c) a))
(+.f64 (fma.f64 (log.f64 y) x (fma.f64 y i z)) (+.f64 t (fma.f64 (-.f64 b 1/2) (log.f64 c) a)))
(+.f64 z (+.f64 a (fma.f64 y i (fma.f64 (log.f64 y) x (fma.f64 (-.f64 b 1/2) (log.f64 c) t)))))
(+.f64 (.f64 y i) (+.f64 a (+.f64 (.f64 (log.f64 y) x) (+.f64 (*.f64 (log.f64 c) (-.f64 b 1/2)) t))))
(fma.f64 y i (+.f64 a (fma.f64 (log.f64 y) x (fma.f64 (log.f64 c) (+.f64 b -1/2) t))))
(+.f64 a (fma.f64 (-.f64 b 1/2) (log.f64 c) (fma.f64 (log.f64 y) x (fma.f64 y i t))))
(+.f64 (fma.f64 (log.f64 y) x (fma.f64 (-.f64 b 1/2) (log.f64 c) t)) (fma.f64 y i a))
(+.f64 a (fma.f64 y i (fma.f64 (log.f64 y) x (fma.f64 (-.f64 b 1/2) (log.f64 c) t))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 (*.f64 (log.f64 y) x) (+.f64 a (+.f64 t z)))))
(fma.f64 y i (+.f64 a (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x (+.f64 z t)))))
(+.f64 (fma.f64 (log.f64 y) x (+.f64 t (fma.f64 y i z))) (fma.f64 (-.f64 b 1/2) (log.f64 c) a))
(+.f64 (fma.f64 (log.f64 y) x (fma.f64 y i z)) (+.f64 t (fma.f64 (-.f64 b 1/2) (log.f64 c) a)))
(+.f64 z (+.f64 a (fma.f64 y i (fma.f64 (log.f64 y) x (fma.f64 (-.f64 b 1/2) (log.f64 c) t)))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 (*.f64 (log.f64 y) x) (+.f64 a (+.f64 t z)))))
(fma.f64 y i (+.f64 a (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x (+.f64 z t)))))
(+.f64 (fma.f64 (log.f64 y) x (+.f64 t (fma.f64 y i z))) (fma.f64 (-.f64 b 1/2) (log.f64 c) a))
(+.f64 (fma.f64 (log.f64 y) x (fma.f64 y i z)) (+.f64 t (fma.f64 (-.f64 b 1/2) (log.f64 c) a)))
(+.f64 z (+.f64 a (fma.f64 y i (fma.f64 (log.f64 y) x (fma.f64 (-.f64 b 1/2) (log.f64 c) t)))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 (*.f64 (log.f64 y) x) (+.f64 a (+.f64 t z)))))
(fma.f64 y i (+.f64 a (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x (+.f64 z t)))))
(+.f64 (fma.f64 (log.f64 y) x (+.f64 t (fma.f64 y i z))) (fma.f64 (-.f64 b 1/2) (log.f64 c) a))
(+.f64 (fma.f64 (log.f64 y) x (fma.f64 y i z)) (+.f64 t (fma.f64 (-.f64 b 1/2) (log.f64 c) a)))
(+.f64 z (+.f64 a (fma.f64 y i (fma.f64 (log.f64 y) x (fma.f64 (-.f64 b 1/2) (log.f64 c) t)))))
z
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 (*.f64 (log.f64 y) x) (+.f64 t z)))))
(fma.f64 y i (+.f64 a (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x (+.f64 z t)))))
(+.f64 (fma.f64 (log.f64 y) x (+.f64 t (fma.f64 y i z))) (fma.f64 (-.f64 b 1/2) (log.f64 c) a))
(+.f64 (fma.f64 (log.f64 y) x (fma.f64 y i z)) (+.f64 t (fma.f64 (-.f64 b 1/2) (log.f64 c) a)))
(+.f64 z (+.f64 a (fma.f64 y i (fma.f64 (log.f64 y) x (fma.f64 (-.f64 b 1/2) (log.f64 c) t)))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 (*.f64 (log.f64 y) x) (+.f64 t z)))))
(fma.f64 y i (+.f64 a (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x (+.f64 z t)))))
(+.f64 (fma.f64 (log.f64 y) x (+.f64 t (fma.f64 y i z))) (fma.f64 (-.f64 b 1/2) (log.f64 c) a))
(+.f64 (fma.f64 (log.f64 y) x (fma.f64 y i z)) (+.f64 t (fma.f64 (-.f64 b 1/2) (log.f64 c) a)))
(+.f64 z (+.f64 a (fma.f64 y i (fma.f64 (log.f64 y) x (fma.f64 (-.f64 b 1/2) (log.f64 c) t)))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 (*.f64 (log.f64 y) x) (+.f64 t z)))))
(fma.f64 y i (+.f64 a (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x (+.f64 z t)))))
(+.f64 (fma.f64 (log.f64 y) x (+.f64 t (fma.f64 y i z))) (fma.f64 (-.f64 b 1/2) (log.f64 c) a))
(+.f64 (fma.f64 (log.f64 y) x (fma.f64 y i z)) (+.f64 t (fma.f64 (-.f64 b 1/2) (log.f64 c) a)))
(+.f64 z (+.f64 a (fma.f64 y i (fma.f64 (log.f64 y) x (fma.f64 (-.f64 b 1/2) (log.f64 c) t)))))
z
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 (*.f64 (log.f64 y) x) (+.f64 t z)))))
(fma.f64 y i (+.f64 a (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x (+.f64 z t)))))
(+.f64 (fma.f64 (log.f64 y) x (+.f64 t (fma.f64 y i z))) (fma.f64 (-.f64 b 1/2) (log.f64 c) a))
(+.f64 (fma.f64 (log.f64 y) x (fma.f64 y i z)) (+.f64 t (fma.f64 (-.f64 b 1/2) (log.f64 c) a)))
(+.f64 z (+.f64 a (fma.f64 y i (fma.f64 (log.f64 y) x (fma.f64 (-.f64 b 1/2) (log.f64 c) t)))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 (*.f64 (log.f64 y) x) (+.f64 t z)))))
(fma.f64 y i (+.f64 a (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x (+.f64 z t)))))
(+.f64 (fma.f64 (log.f64 y) x (+.f64 t (fma.f64 y i z))) (fma.f64 (-.f64 b 1/2) (log.f64 c) a))
(+.f64 (fma.f64 (log.f64 y) x (fma.f64 y i z)) (+.f64 t (fma.f64 (-.f64 b 1/2) (log.f64 c) a)))
(+.f64 z (+.f64 a (fma.f64 y i (fma.f64 (log.f64 y) x (fma.f64 (-.f64 b 1/2) (log.f64 c) t)))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 (*.f64 (log.f64 y) x) (+.f64 t z)))))
(fma.f64 y i (+.f64 a (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x (+.f64 z t)))))
(+.f64 (fma.f64 (log.f64 y) x (+.f64 t (fma.f64 y i z))) (fma.f64 (-.f64 b 1/2) (log.f64 c) a))
(+.f64 (fma.f64 (log.f64 y) x (fma.f64 y i z)) (+.f64 t (fma.f64 (-.f64 b 1/2) (log.f64 c) a)))
(+.f64 z (+.f64 a (fma.f64 y i (fma.f64 (log.f64 y) x (fma.f64 (-.f64 b 1/2) (log.f64 c) t)))))

prune125.0ms (0.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	133	1	134
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	133	5	138

Error

0.0b

Counts

138 → 5

Alt Table

Status	Error	Program
▶	0.9b	(+.f64 z (+.f64 t (*.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))) (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))) 2))))
	28.3b	(+.f64 a (fma.f64 (log.f64 c) (+.f64 -1/2 b) (+.f64 t (fma.f64 y i (*.f64 (cbrt.f64 (fma.f64 (log.f64 y) x z)) (cbrt.f64 (pow.f64 (fma.f64 (log.f64 y) x z) 2)))))))
	39.0b	(+.f64 z (+.f64 t (fma.f64 x (log.f64 y) (fma.f64 y i (cbrt.f64 (pow.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) a) 3))))))
✓	0.1b	(+.f64 a (fma.f64 (log.f64 c) (+.f64 -1/2 b) (+.f64 t (fma.f64 y i (fma.f64 (log.f64 y) x z)))))
	20.3b	(+.f64 z (+.f64 t (pow.f64 (sqrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))) 2)))

Compiler

Compiled 3581 to 1344 computations (62.5% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(fma.f64 (+.f64 b -1/2) (log.f64 c) a)
✓	0.3b	(*.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))) (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))) 2))
✓	0.5b	(pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))) 2)
✓	0.5b	(cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a))))

series90.0ms (0.7%)

Counts

3 → 136

Calls

54 calls:

Time	Variable		Point	Expression
21.0ms	c	@	inf	(pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))) 2)
8.0ms	y	@	0	(pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))) 2)
5.0ms	a	@	0	(pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))) 2)
5.0ms	b	@	-inf	(cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a))))
4.0ms	y	@	0	(cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a))))

rewrite61.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

299×	`log1p-udef_binary64`
264×	`prod-diff_binary64`
173×	`add-sqr-sqrt_binary64`
168×	`pow1_binary64`
167×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	67
1	366	67
2	4029	67

Stop Event

1×	node limit

Counts

3 → 61

Calls

Call 1

Inputs

(cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a))))

(pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))) 2)

(*.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))) (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))) 2))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))) (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a))))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a))))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a))))) (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a))) 1/6) (sqrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))) (pow.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a))))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))) 2)))))))

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

simplify118.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

660×	`associate-r_binary64`
505×	`associate-l_binary64`
404×	`fma-def_binary64`
190×	`sqr-pow_binary64`
173×	`*-commutative_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	494	10128
1	1719	9562

Stop Event

1×	node limit

Counts

197 → 176

Calls

Call 1

Inputs
(pow.f64 (+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (+.f64 a (.f64 i y))) 1/3)
(+.f64 (pow.f64 (+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (+.f64 a (.f64 i y))) 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 y i) (+.f64 a (.f64 (log.f64 c) (-.f64 b 1/2)))) 2)) 1/9) (*.f64 (log.f64 y) x))))
(+.f64 (pow.f64 (+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (+.f64 a (.f64 i y))) 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 y i) (+.f64 a (.f64 (log.f64 c) (-.f64 b 1/2)))) 2)) 1/9) (.f64 (log.f64 y) x))) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (+.f64 (.f64 y i) (+.f64 a (.f64 (log.f64 c) (-.f64 b 1/2))))) 1/3) (.f64 (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (+.f64 a (*.f64 i y))) 4)) 1/9))))))
(+.f64 (pow.f64 (+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (+.f64 a (.f64 i y))) 1/3) (+.f64 (.f64 -1/3 (.f64 (.f64 (+.f64 (.f64 1/27 (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (+.f64 a (.f64 i y))) 2)) 1/3))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (+.f64 (.f64 y i) (+.f64 a (.f64 (log.f64 c) (-.f64 b 1/2)))) (pow.f64 (+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (+.f64 a (.f64 i y))) 5))) 1/9) (pow.f64 (log.f64 y) 3)))) (pow.f64 x 3)) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 y i) (+.f64 a (.f64 (log.f64 c) (-.f64 b 1/2)))) 2)) 1/3))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 y i) (+.f64 a (.f64 (log.f64 c) (-.f64 b 1/2)))) 2)) 1/9) (.f64 (log.f64 y) x))) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (+.f64 (.f64 y i) (+.f64 a (.f64 (log.f64 c) (-.f64 b 1/2))))) 1/3) (.f64 (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (+.f64 a (*.f64 i y))) 4)) 1/9)))))))
(pow.f64 (+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (+.f64 a (.f64 (log.f64 y) x))) 1/3)
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(*.f64 (log.f64 y) x)
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (*.f64 (log.f64 y) x))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (*.f64 (log.f64 y) x))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (*.f64 (log.f64 y) x))))
(+.f64 (.f64 (log.f64 y) x) (+.f64 a (.f64 (log.f64 c) (-.f64 b 1/2))))
(+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 (.f64 (log.f64 y) x) (*.f64 i y))))
(+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 (.f64 (log.f64 y) x) (*.f64 i y))))
(+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 (.f64 (log.f64 y) x) (*.f64 i y))))
(*.f64 i y)
(+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x)) (.f64 i y))))
(+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x)) (.f64 i y))))
(+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x)) (.f64 i y))))
(*.f64 i y)
(+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (.f64 i y))))
(+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (.f64 i y))))
(+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (.f64 i y))))
(+.f64 (.f64 (log.f64 y) x) (+.f64 a (.f64 (log.f64 c) (-.f64 b 1/2))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (*.f64 (log.f64 y) x))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (*.f64 (log.f64 y) x))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (*.f64 (log.f64 y) x))))
(*.f64 y i)
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (*.f64 (log.f64 y) x))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (*.f64 (log.f64 y) x))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (*.f64 (log.f64 y) x))))
(*.f64 y i)
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (*.f64 (log.f64 y) x))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (*.f64 (log.f64 y) x))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (*.f64 (log.f64 y) x))))
(+.f64 (.f64 y i) (+.f64 a (+.f64 (.f64 (log.f64 y) x) (*.f64 -1/2 (log.f64 c)))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 y) x) (+.f64 a (+.f64 (.f64 (log.f64 c) b) (.f64 -1/2 (log.f64 c))))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 y) x) (+.f64 a (+.f64 (.f64 (log.f64 c) b) (.f64 -1/2 (log.f64 c))))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 y) x) (+.f64 a (+.f64 (.f64 (log.f64 c) b) (.f64 -1/2 (log.f64 c))))))
(*.f64 (log.f64 c) b)
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 y) x) (+.f64 a (+.f64 (.f64 (log.f64 c) b) (.f64 -1/2 (log.f64 c))))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 y) x) (+.f64 a (+.f64 (.f64 (log.f64 c) b) (.f64 -1/2 (log.f64 c))))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 y) x) (+.f64 a (+.f64 (.f64 (log.f64 c) b) (.f64 -1/2 (log.f64 c))))))
(*.f64 (log.f64 c) b)
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 y) x) (+.f64 a (+.f64 (.f64 (log.f64 c) b) (.f64 -1/2 (log.f64 c))))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 y) x) (+.f64 a (+.f64 (.f64 (log.f64 c) b) (.f64 -1/2 (log.f64 c))))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 y) x) (+.f64 a (+.f64 (.f64 (log.f64 c) b) (.f64 -1/2 (log.f64 c))))))
(+.f64 (.f64 y i) (+.f64 a (+.f64 (.f64 (log.f64 y) x) (*.f64 (log.f64 c) (-.f64 b 1/2)))))
(+.f64 (.f64 y i) (+.f64 a (+.f64 (.f64 (log.f64 y) x) (*.f64 (log.f64 c) (-.f64 b 1/2)))))
(+.f64 (.f64 y i) (+.f64 a (+.f64 (.f64 (log.f64 y) x) (*.f64 (log.f64 c) (-.f64 b 1/2)))))
(+.f64 (.f64 y i) (+.f64 a (+.f64 (.f64 (log.f64 y) x) (*.f64 (log.f64 c) (-.f64 b 1/2)))))
(+.f64 (.f64 y i) (+.f64 (.f64 -1 (.f64 (-.f64 b 1/2) (log.f64 (/.f64 1 c)))) (+.f64 (.f64 (log.f64 y) x) a)))
(+.f64 (.f64 y i) (+.f64 (.f64 -1 (.f64 (-.f64 b 1/2) (log.f64 (/.f64 1 c)))) (+.f64 (.f64 (log.f64 y) x) a)))
(+.f64 (.f64 y i) (+.f64 (.f64 -1 (.f64 (-.f64 b 1/2) (log.f64 (/.f64 1 c)))) (+.f64 (.f64 (log.f64 y) x) a)))
(+.f64 (.f64 y i) (+.f64 (.f64 -1 (.f64 (-.f64 b 1/2) (log.f64 (/.f64 1 c)))) (+.f64 (.f64 (log.f64 y) x) a)))
(+.f64 (.f64 y i) (+.f64 a (+.f64 (.f64 (log.f64 y) x) (.f64 (-.f64 b 1/2) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 c))))))))
(+.f64 (.f64 y i) (+.f64 a (+.f64 (.f64 (log.f64 y) x) (.f64 (-.f64 b 1/2) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 c))))))))
(+.f64 (.f64 y i) (+.f64 a (+.f64 (.f64 (log.f64 y) x) (.f64 (-.f64 b 1/2) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 c))))))))
(+.f64 (.f64 y i) (+.f64 a (+.f64 (.f64 (log.f64 y) x) (.f64 (-.f64 b 1/2) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 c))))))))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 y) x) (*.f64 (log.f64 c) (-.f64 b 1/2))))
(+.f64 (.f64 y i) (+.f64 a (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (*.f64 (log.f64 y) x))))
(+.f64 (.f64 y i) (+.f64 a (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (*.f64 (log.f64 y) x))))
(+.f64 (.f64 y i) (+.f64 a (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (*.f64 (log.f64 y) x))))
a
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 (*.f64 (log.f64 y) x) a)))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 (*.f64 (log.f64 y) x) a)))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 (*.f64 (log.f64 y) x) a)))
a
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 (*.f64 (log.f64 y) x) a)))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 (*.f64 (log.f64 y) x) a)))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 (*.f64 (log.f64 y) x) a)))

Outputs
(pow.f64 (+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (+.f64 a (.f64 i y))) 1/3)
(cbrt.f64 (fma.f64 y i (fma.f64 (log.f64 c) (+.f64 b -1/2) a)))
(cbrt.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 i y a)))
(+.f64 (pow.f64 (+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (+.f64 a (.f64 i y))) 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 y i) (+.f64 a (.f64 (log.f64 c) (-.f64 b 1/2)))) 2)) 1/9) (*.f64 (log.f64 y) x))))
(+.f64 (cbrt.f64 (fma.f64 y i (fma.f64 (log.f64 c) (+.f64 b -1/2) a))) (.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 y i (fma.f64 (log.f64 c) (+.f64 b -1/2) a)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 y i (fma.f64 (log.f64 c) (+.f64 b -1/2) a)) 2)) 1/18)) (.f64 (log.f64 y) x))))
(fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 i y a)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 i y a)) 2)) 1/18)) (*.f64 (log.f64 y) x)) (cbrt.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 i y a))))
(+.f64 (pow.f64 (+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (+.f64 a (.f64 i y))) 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 y i) (+.f64 a (.f64 (log.f64 c) (-.f64 b 1/2)))) 2)) 1/9) (.f64 (log.f64 y) x))) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (+.f64 (.f64 y i) (+.f64 a (.f64 (log.f64 c) (-.f64 b 1/2))))) 1/3) (.f64 (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (+.f64 a (*.f64 i y))) 4)) 1/9))))))
(+.f64 (cbrt.f64 (fma.f64 y i (fma.f64 (log.f64 c) (+.f64 b -1/2) a))) (fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 y i (fma.f64 (log.f64 c) (+.f64 b -1/2) a)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 y i (fma.f64 (log.f64 c) (+.f64 b -1/2) a)) 2)) 1/18)) (.f64 (log.f64 y) x)) (.f64 -1/9 (.f64 (.f64 (cbrt.f64 (/.f64 1 (fma.f64 y i (fma.f64 (log.f64 c) (+.f64 b -1/2) a)))) (.f64 (pow.f64 (log.f64 y) 2) (.f64 x x))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 y i (fma.f64 (log.f64 c) (+.f64 b -1/2) a)) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 y i (fma.f64 (log.f64 c) (+.f64 b -1/2) a)) 4)) 1/18))))))
(+.f64 (cbrt.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 i y a))) (fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 i y a)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 i y a)) 2)) 1/18)) (.f64 (log.f64 y) x)) (.f64 -1/9 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 i y a)) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 i y a)) 4)) 1/18)) (.f64 (.f64 (pow.f64 (log.f64 y) 2) (*.f64 x x)) (cbrt.f64 (/.f64 1 (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 i y a)))))))))
(+.f64 (pow.f64 (+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (+.f64 a (.f64 i y))) 1/3) (+.f64 (.f64 -1/3 (.f64 (.f64 (+.f64 (.f64 1/27 (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (+.f64 a (.f64 i y))) 2)) 1/3))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (+.f64 (.f64 y i) (+.f64 a (.f64 (log.f64 c) (-.f64 b 1/2)))) (pow.f64 (+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (+.f64 a (.f64 i y))) 5))) 1/9) (pow.f64 (log.f64 y) 3)))) (pow.f64 x 3)) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 y i) (+.f64 a (.f64 (log.f64 c) (-.f64 b 1/2)))) 2)) 1/3))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 y i) (+.f64 a (.f64 (log.f64 c) (-.f64 b 1/2)))) 2)) 1/9) (.f64 (log.f64 y) x))) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (+.f64 (.f64 y i) (+.f64 a (.f64 (log.f64 c) (-.f64 b 1/2))))) 1/3) (.f64 (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (+.f64 a (*.f64 i y))) 4)) 1/9)))))))
(+.f64 (cbrt.f64 (fma.f64 y i (fma.f64 (log.f64 c) (+.f64 b -1/2) a))) (fma.f64 -1/3 (.f64 (fma.f64 -2/9 (.f64 (pow.f64 (log.f64 y) 3) (.f64 (pow.f64 (/.f64 1 (.f64 (fma.f64 y i (fma.f64 (log.f64 c) (+.f64 b -1/2) a)) (pow.f64 (fma.f64 y i (fma.f64 (log.f64 c) (+.f64 b -1/2) a)) 5))) 1/18) (pow.f64 (/.f64 1 (.f64 (fma.f64 y i (fma.f64 (log.f64 c) (+.f64 b -1/2) a)) (pow.f64 (fma.f64 y i (fma.f64 (log.f64 c) (+.f64 b -1/2) a)) 5))) 1/18))) (.f64 1/27 (.f64 (pow.f64 (log.f64 y) 3) (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 y i (fma.f64 (log.f64 c) (+.f64 b -1/2) a)) 2)))))) (.f64 (pow.f64 x 3) (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 y i (fma.f64 (log.f64 c) (+.f64 b -1/2) a)) 2))))) (fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 y i (fma.f64 (log.f64 c) (+.f64 b -1/2) a)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 y i (fma.f64 (log.f64 c) (+.f64 b -1/2) a)) 2)) 1/18)) (.f64 (log.f64 y) x)) (.f64 -1/9 (.f64 (.f64 (cbrt.f64 (/.f64 1 (fma.f64 y i (fma.f64 (log.f64 c) (+.f64 b -1/2) a)))) (.f64 (pow.f64 (log.f64 y) 2) (.f64 x x))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 y i (fma.f64 (log.f64 c) (+.f64 b -1/2) a)) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 y i (fma.f64 (log.f64 c) (+.f64 b -1/2) a)) 4)) 1/18)))))))
(+.f64 (cbrt.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 i y a))) (fma.f64 -1/3 (.f64 (.f64 (pow.f64 (log.f64 y) 3) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 i y a)) 6)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 i y a)) 6)) 1/18))) (.f64 1/27 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 i y a)) 2)))))) (.f64 (pow.f64 x 3) (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 i y a)) 2))))) (fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 i y a)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 i y a)) 2)) 1/18)) (.f64 (log.f64 y) x)) (.f64 -1/9 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 i y a)) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 i y a)) 4)) 1/18)) (.f64 (.f64 (pow.f64 (log.f64 y) 2) (*.f64 x x)) (cbrt.f64 (/.f64 1 (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 i y a))))))))))
(pow.f64 (+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (+.f64 a (.f64 (log.f64 y) x))) 1/3)
(cbrt.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x a)))
(+.f64 (.f64 1/3 (.f64 (.f64 i y) (pow.f64 (/.f64 1 (pow.f64 (+.f64 a (+.f64 (.f64 (log.f64 y) x) (.f64 (log.f64 c) (-.f64 b 1/2)))) 2)) 1/9))) (pow.f64 (+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (+.f64 a (*.f64 (log.f64 y) x))) 1/3))
(fma.f64 1/3 (.f64 (.f64 i y) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x a)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x a)) 2)) 1/18))) (cbrt.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x a))))
(fma.f64 1/3 (.f64 i (.f64 (*.f64 y (pow.f64 (/.f64 1 (pow.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x a)) 2)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x a)) 2)) 1/18))) (cbrt.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x a))))
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(+.f64 (fma.f64 (log.f64 c) (+.f64 b -1/2) a) (fma.f64 -1 (.f64 x (neg.f64 (log.f64 y))) (.f64 i y)))
(+.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) a) (-.f64 (.f64 i y) (.f64 x (neg.f64 (log.f64 y)))))
(*.f64 i y)
(+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (.f64 i y))))
(fma.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) x (fma.f64 y i (fma.f64 (log.f64 c) (+.f64 b -1/2) a)))
(fma.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 i y a)))
(+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (.f64 i y))))
(fma.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) x (fma.f64 y i (fma.f64 (log.f64 c) (+.f64 b -1/2) a)))
(fma.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 i y a)))
(+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (.f64 i y))))
(fma.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) x (fma.f64 y i (fma.f64 (log.f64 c) (+.f64 b -1/2) a)))
(fma.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 i y a)))
(+.f64 (.f64 (log.f64 y) x) (+.f64 a (.f64 (log.f64 c) (-.f64 b 1/2))))
(fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x a))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (*.f64 (log.f64 y) x))))
(fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x a)))
(fma.f64 i y (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x a)))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (*.f64 (log.f64 y) x))))
(fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x a)))
(fma.f64 i y (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x a)))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (*.f64 (log.f64 y) x))))
(fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x a)))
(fma.f64 i y (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x a)))
(*.f64 y i)
(*.f64 i y)
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (*.f64 (log.f64 y) x))))
(fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x a)))
(fma.f64 i y (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x a)))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (*.f64 (log.f64 y) x))))
(fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x a)))
(fma.f64 i y (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x a)))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (*.f64 (log.f64 y) x))))
(fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x a)))
(fma.f64 i y (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x a)))
(*.f64 y i)
(*.f64 i y)
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (*.f64 (log.f64 y) x))))
(fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x a)))
(fma.f64 i y (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x a)))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (*.f64 (log.f64 y) x))))
(fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x a)))
(fma.f64 i y (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x a)))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 a (*.f64 (log.f64 y) x))))
(fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x a)))
(fma.f64 i y (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x a)))
(+.f64 (.f64 y i) (+.f64 a (+.f64 (.f64 (log.f64 y) x) (*.f64 -1/2 (log.f64 c)))))
(fma.f64 y i (+.f64 (fma.f64 (log.f64 y) x a) (*.f64 (log.f64 c) -1/2)))
(fma.f64 i y (fma.f64 (log.f64 y) x (fma.f64 (log.f64 c) -1/2 a)))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 y) x) (+.f64 a (+.f64 (.f64 (log.f64 c) b) (.f64 -1/2 (log.f64 c))))))
(fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x a)))
(fma.f64 i y (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x a)))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 y) x) (+.f64 a (+.f64 (.f64 (log.f64 c) b) (.f64 -1/2 (log.f64 c))))))
(fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x a)))
(fma.f64 i y (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x a)))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 y) x) (+.f64 a (+.f64 (.f64 (log.f64 c) b) (.f64 -1/2 (log.f64 c))))))
(fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x a)))
(fma.f64 i y (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x a)))
(*.f64 (log.f64 c) b)
(*.f64 b (log.f64 c))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 y) x) (+.f64 a (+.f64 (.f64 (log.f64 c) b) (.f64 -1/2 (log.f64 c))))))
(fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x a)))
(fma.f64 i y (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x a)))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 y) x) (+.f64 a (+.f64 (.f64 (log.f64 c) b) (.f64 -1/2 (log.f64 c))))))
(fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x a)))
(fma.f64 i y (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x a)))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 y) x) (+.f64 a (+.f64 (.f64 (log.f64 c) b) (.f64 -1/2 (log.f64 c))))))
(fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x a)))
(fma.f64 i y (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x a)))
(*.f64 (log.f64 c) b)
(*.f64 b (log.f64 c))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 y) x) (+.f64 a (+.f64 (.f64 (log.f64 c) b) (.f64 -1/2 (log.f64 c))))))
(fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x a)))
(fma.f64 i y (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x a)))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 y) x) (+.f64 a (+.f64 (.f64 (log.f64 c) b) (.f64 -1/2 (log.f64 c))))))
(fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x a)))
(fma.f64 i y (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x a)))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 y) x) (+.f64 a (+.f64 (.f64 (log.f64 c) b) (.f64 -1/2 (log.f64 c))))))
(fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x a)))
(fma.f64 i y (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x a)))
(+.f64 (.f64 y i) (+.f64 a (+.f64 (.f64 (log.f64 y) x) (*.f64 (log.f64 c) (-.f64 b 1/2)))))
(fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x a)))
(fma.f64 i y (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x a)))
(+.f64 (.f64 y i) (+.f64 a (+.f64 (.f64 (log.f64 y) x) (*.f64 (log.f64 c) (-.f64 b 1/2)))))
(fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x a)))
(fma.f64 i y (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x a)))
(+.f64 (.f64 y i) (+.f64 a (+.f64 (.f64 (log.f64 y) x) (*.f64 (log.f64 c) (-.f64 b 1/2)))))
(fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x a)))
(fma.f64 i y (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x a)))
(+.f64 (.f64 y i) (+.f64 a (+.f64 (.f64 (log.f64 y) x) (*.f64 (log.f64 c) (-.f64 b 1/2)))))
(fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x a)))
(fma.f64 i y (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x a)))
(+.f64 (.f64 y i) (+.f64 (.f64 -1 (.f64 (-.f64 b 1/2) (log.f64 (/.f64 1 c)))) (+.f64 (.f64 (log.f64 y) x) a)))
(fma.f64 y i (fma.f64 -1 (*.f64 (+.f64 b -1/2) (neg.f64 (log.f64 c))) (fma.f64 (log.f64 y) x a)))
(fma.f64 i y (fma.f64 (neg.f64 (+.f64 b -1/2)) (neg.f64 (log.f64 c)) (fma.f64 (log.f64 y) x a)))
(+.f64 (.f64 y i) (+.f64 (.f64 -1 (.f64 (-.f64 b 1/2) (log.f64 (/.f64 1 c)))) (+.f64 (.f64 (log.f64 y) x) a)))
(fma.f64 y i (fma.f64 -1 (*.f64 (+.f64 b -1/2) (neg.f64 (log.f64 c))) (fma.f64 (log.f64 y) x a)))
(fma.f64 i y (fma.f64 (neg.f64 (+.f64 b -1/2)) (neg.f64 (log.f64 c)) (fma.f64 (log.f64 y) x a)))
(+.f64 (.f64 y i) (+.f64 (.f64 -1 (.f64 (-.f64 b 1/2) (log.f64 (/.f64 1 c)))) (+.f64 (.f64 (log.f64 y) x) a)))
(fma.f64 y i (fma.f64 -1 (*.f64 (+.f64 b -1/2) (neg.f64 (log.f64 c))) (fma.f64 (log.f64 y) x a)))
(fma.f64 i y (fma.f64 (neg.f64 (+.f64 b -1/2)) (neg.f64 (log.f64 c)) (fma.f64 (log.f64 y) x a)))
(+.f64 (.f64 y i) (+.f64 (.f64 -1 (.f64 (-.f64 b 1/2) (log.f64 (/.f64 1 c)))) (+.f64 (.f64 (log.f64 y) x) a)))
(fma.f64 y i (fma.f64 -1 (*.f64 (+.f64 b -1/2) (neg.f64 (log.f64 c))) (fma.f64 (log.f64 y) x a)))
(fma.f64 i y (fma.f64 (neg.f64 (+.f64 b -1/2)) (neg.f64 (log.f64 c)) (fma.f64 (log.f64 y) x a)))
(+.f64 (.f64 y i) (+.f64 a (+.f64 (.f64 (log.f64 y) x) (.f64 (-.f64 b 1/2) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 c))))))))
(fma.f64 y i (+.f64 (fma.f64 (log.f64 y) x a) (*.f64 (+.f64 b -1/2) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 c)))))))
(fma.f64 i y (fma.f64 (log.f64 y) x (fma.f64 (+.f64 b -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 c))) a)))
(+.f64 (.f64 y i) (+.f64 a (+.f64 (.f64 (log.f64 y) x) (.f64 (-.f64 b 1/2) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 c))))))))
(fma.f64 y i (+.f64 (fma.f64 (log.f64 y) x a) (*.f64 (+.f64 b -1/2) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 c)))))))
(fma.f64 i y (fma.f64 (log.f64 y) x (fma.f64 (+.f64 b -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 c))) a)))
(+.f64 (.f64 y i) (+.f64 a (+.f64 (.f64 (log.f64 y) x) (.f64 (-.f64 b 1/2) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 c))))))))
(fma.f64 y i (+.f64 (fma.f64 (log.f64 y) x a) (*.f64 (+.f64 b -1/2) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 c)))))))
(fma.f64 i y (fma.f64 (log.f64 y) x (fma.f64 (+.f64 b -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 c))) a)))
(+.f64 (.f64 y i) (+.f64 a (+.f64 (.f64 (log.f64 y) x) (.f64 (-.f64 b 1/2) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 c))))))))
(fma.f64 y i (+.f64 (fma.f64 (log.f64 y) x a) (*.f64 (+.f64 b -1/2) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 c)))))))
(fma.f64 i y (fma.f64 (log.f64 y) x (fma.f64 (+.f64 b -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 c))) a)))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 y) x) (*.f64 (log.f64 c) (-.f64 b 1/2))))
(fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x (*.f64 i y)))
(+.f64 (.f64 y i) (+.f64 a (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (*.f64 (log.f64 y) x))))
(fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x a)))
(fma.f64 i y (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x a)))
(+.f64 (.f64 y i) (+.f64 a (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (*.f64 (log.f64 y) x))))
(fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x a)))
(fma.f64 i y (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x a)))
(+.f64 (.f64 y i) (+.f64 a (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (*.f64 (log.f64 y) x))))
(fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x a)))
(fma.f64 i y (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x a)))
a
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 (*.f64 (log.f64 y) x) a)))
(fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x a)))
(fma.f64 i y (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x a)))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 (*.f64 (log.f64 y) x) a)))
(fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x a)))
(fma.f64 i y (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x a)))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 (*.f64 (log.f64 y) x) a)))
(fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x a)))
(fma.f64 i y (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x a)))
a
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 (*.f64 (log.f64 y) x) a)))
(fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x a)))
(fma.f64 i y (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x a)))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 (*.f64 (log.f64 y) x) a)))
(fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x a)))
(fma.f64 i y (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x a)))
(+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 c) (-.f64 b 1/2)) (+.f64 (*.f64 (log.f64 y) x) a)))
(fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x a)))
(fma.f64 i y (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x a)))

prune490.0ms (3.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	304	3	307
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	304	8	312

Error

0.0b

Counts

312 → 8

Alt Table

Status	Error	Program
✓	0.9b	(+.f64 z (+.f64 t (*.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))) (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))) 2))))
	28.3b	(+.f64 a (fma.f64 (log.f64 c) (+.f64 -1/2 b) (+.f64 t (fma.f64 y i (*.f64 (cbrt.f64 (fma.f64 (log.f64 y) x z)) (cbrt.f64 (pow.f64 (fma.f64 (log.f64 y) x z) 2)))))))
	39.0b	(+.f64 z (+.f64 t (fma.f64 x (log.f64 y) (fma.f64 y i (cbrt.f64 (pow.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) a) 3))))))
✓	0.1b	(+.f64 a (fma.f64 (log.f64 c) (+.f64 -1/2 b) (+.f64 t (fma.f64 y i (fma.f64 (log.f64 y) x z)))))
	25.6b	(+.f64 z (+.f64 t (.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a))))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))) 4))))))
	23.1b	(+.f64 z (+.f64 t (*.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))) (pow.f64 (exp.f64 (log.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))))) 2))))
▶	1.2b	(+.f64 z (+.f64 t (.f64 (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a))))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a))))) 2)) (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))) 2))))
	20.3b	(+.f64 z (+.f64 t (pow.f64 (sqrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))) 2)))

Compiler

Compiled 22957 to 11736 computations (48.9% saved)

localize36.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.5b	(pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))) 2)
✓	0.5b	(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a))))) 2)
	0.5b	(cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a))))
✓	0.5b	(cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))))

series166.0ms (1.3%)

Counts

2 → 144

Calls

36 calls:

Time	Variable		Point	Expression
26.0ms	c	@	-inf	(cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))))
22.0ms	c	@	inf	(cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))))
17.0ms	c	@	0	(cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))))
7.0ms	a	@	-inf	(cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))))
7.0ms	x	@	-inf	(cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))))

rewrite55.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

311×	`log1p-udef_binary64`
264×	`prod-diff_binary64`
179×	`add-sqr-sqrt_binary64`
174×	`pow1_binary64`
173×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	51
1	362	51
2	4160	51

Stop Event

1×	node limit

Counts

2 → 42

Calls

Call 1

Inputs

(cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))))

(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a))))) 2)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))))) 2) (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))) 1/6) (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a))))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a))) 1/6) 1/3) (pow.f64 (pow.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a))) 1/6) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a))) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a))))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a))))) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a))))) (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a))))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a))))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))))) (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a))))) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a))) 1/6) (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))) 1/6) (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))) 1/6) (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a))))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))))) 2)) (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a))))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a))))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a))))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a))))) 2)))))))

simplify245.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

618×	`times-frac_binary64`
418×	`*-commutative_binary64`
324×	`+-commutative_binary64`
242×	`fma-def_binary64`
164×	`associate-+r+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1100	21214
1	4259	21214

Stop Event

1×	node limit

Counts

186 → 288

Calls

Call 1

Inputs
(pow.f64 (+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (+.f64 a (.f64 i y))) 1/9)
(+.f64 (pow.f64 (+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (+.f64 a (.f64 i y))) 1/9) (.f64 1/9 (.f64 (.f64 (log.f64 y) x) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (+.f64 a (*.f64 i y))) 8)) 1/9))))
(+.f64 (.f64 (.f64 (+.f64 (.f64 -1/18 (/.f64 (pow.f64 (log.f64 y) 2) (pow.f64 (+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (+.f64 a (.f64 i y))) 2))) (.f64 1/162 (/.f64 (pow.f64 (log.f64 y) 2) (pow.f64 (+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (+.f64 a (.f64 i y))) 2)))) (pow.f64 x 2)) (pow.f64 (+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (+.f64 a (.f64 i y))) 1/9)) (+.f64 (pow.f64 (+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (+.f64 a (.f64 i y))) 1/9) (.f64 1/9 (.f64 (.f64 (log.f64 y) x) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (+.f64 a (*.f64 i y))) 8)) 1/9)))))
(+.f64 (.f64 (.f64 (+.f64 (.f64 -1/18 (/.f64 (pow.f64 (log.f64 y) 2) (pow.f64 (+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (+.f64 a (.f64 i y))) 2))) (.f64 1/162 (/.f64 (pow.f64 (log.f64 y) 2) (pow.f64 (+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (+.f64 a (.f64 i y))) 2)))) (pow.f64 x 2)) (pow.f64 (+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (+.f64 a (.f64 i y))) 1/9)) (+.f64 (pow.f64 (+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (+.f64 a (.f64 i y))) 1/9) (+.f64 (.f64 (.f64 (+.f64 (.f64 -1/162 (/.f64 (pow.f64 (log.f64 y) 3) (pow.f64 (+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (+.f64 a (.f64 i y))) 3))) (+.f64 (.f64 1/4374 (/.f64 (pow.f64 (log.f64 y) 3) (pow.f64 (+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (+.f64 a (.f64 i y))) 3))) (.f64 1/27 (/.f64 (pow.f64 (log.f64 y) 3) (pow.f64 (+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (+.f64 a (.f64 i y))) 3))))) (pow.f64 x 3)) (pow.f64 (+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (+.f64 a (.f64 i y))) 1/9)) (.f64 1/9 (.f64 (.f64 (log.f64 y) x) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (+.f64 a (.f64 i y))) 8)) 1/9))))))
(exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (log.f64 y)))))
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(pow.f64 a 1/9)
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(+.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (+.f64 (.f64 -1/18 (pow.f64 (+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 y) x) (.f64 (log.f64 c) (-.f64 b 1/2)))) 2)) (.f64 1/162 (pow.f64 (+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 y) x) (.f64 (log.f64 c) (-.f64 b 1/2)))) 2)))) (pow.f64 a 2))) (+.f64 (.f64 2/9 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 y) x) (.f64 (log.f64 c) (-.f64 b 1/2))))) a)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (+.f64 (.f64 -1/27 (pow.f64 (+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 y) x) (.f64 (log.f64 c) (-.f64 b 1/2)))) 3)) (+.f64 (.f64 -1/4374 (pow.f64 (+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 y) x) (.f64 (log.f64 c) (-.f64 b 1/2)))) 3)) (.f64 1/162 (pow.f64 (+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 y) x) (.f64 (log.f64 c) (-.f64 b 1/2)))) 3)))))) (.f64 -2/9 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (.f64 (+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 y) x) (.f64 (log.f64 c) (-.f64 b 1/2)))) (+.f64 (.f64 -1/18 (pow.f64 (+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 y) x) (.f64 (log.f64 c) (-.f64 b 1/2)))) 2)) (.f64 1/162 (pow.f64 (+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 y) x) (.f64 (log.f64 c) (-.f64 b 1/2)))) 2))))))) (pow.f64 a 3))) (.f64 1/81 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (pow.f64 (+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 y) x) (*.f64 (log.f64 c) (-.f64 b 1/2)))) 2)) (pow.f64 a 2)))))))

Outputs
(pow.f64 (+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (+.f64 a (.f64 i y))) 1/9)
(.f64 (pow.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) (+.f64 a (.f64 i y))) 1/18) (pow.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) (+.f64 a (*.f64 i y))) 1/18))
(+.f64 (pow.f64 (+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (+.f64 a (.f64 i y))) 1/9) (.f64 1/9 (.f64 (.f64 (log.f64 y) x) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (+.f64 a (*.f64 i y))) 8)) 1/9))))
(+.f64 (.f64 (pow.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) (+.f64 a (.f64 i y))) 1/18) (pow.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) (+.f64 a (.f64 i y))) 1/18)) (.f64 (.f64 1/9 (.f64 (log.f64 y) x)) (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) (+.f64 a (.f64 i y))) 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) (+.f64 a (*.f64 i y))) 8)) 1/18))))
(+.f64 (.f64 (.f64 (+.f64 (.f64 -1/18 (/.f64 (pow.f64 (log.f64 y) 2) (pow.f64 (+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (+.f64 a (.f64 i y))) 2))) (.f64 1/162 (/.f64 (pow.f64 (log.f64 y) 2) (pow.f64 (+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (+.f64 a (.f64 i y))) 2)))) (pow.f64 x 2)) (pow.f64 (+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (+.f64 a (.f64 i y))) 1/9)) (+.f64 (pow.f64 (+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (+.f64 a (.f64 i y))) 1/9) (.f64 1/9 (.f64 (.f64 (log.f64 y) x) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (+.f64 a (*.f64 i y))) 8)) 1/9)))))
(fma.f64 (.f64 (.f64 x x) (.f64 (/.f64 (pow.f64 (log.f64 y) 2) (pow.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) (+.f64 a (.f64 i y))) 2)) -4/81)) (.f64 (pow.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) (+.f64 a (.f64 i y))) 1/18) (pow.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) (+.f64 a (.f64 i y))) 1/18)) (+.f64 (.f64 (pow.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) (+.f64 a (.f64 i y))) 1/18) (pow.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) (+.f64 a (.f64 i y))) 1/18)) (.f64 (.f64 1/9 (.f64 (log.f64 y) x)) (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) (+.f64 a (.f64 i y))) 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) (+.f64 a (.f64 i y))) 8)) 1/18)))))
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(fma.f64 (.f64 (.f64 x x) (.f64 (/.f64 (pow.f64 (log.f64 y) 2) (pow.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) (+.f64 a (.f64 i y))) 2)) -4/81)) (.f64 (pow.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) (+.f64 a (.f64 i y))) 1/18) (pow.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) (+.f64 a (.f64 i y))) 1/18)) (+.f64 (.f64 (pow.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) (+.f64 a (.f64 i y))) 1/18) (pow.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) (+.f64 a (.f64 i y))) 1/18)) (fma.f64 (.f64 (pow.f64 x 3) (fma.f64 -1/162 (/.f64 (pow.f64 (log.f64 y) 3) (pow.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) (+.f64 a (.f64 i y))) 3)) (.f64 (/.f64 (pow.f64 (log.f64 y) 3) (pow.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) (+.f64 a (.f64 i y))) 3)) 163/4374))) (.f64 (pow.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) (+.f64 a (.f64 i y))) 1/18) (pow.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) (+.f64 a (.f64 i y))) 1/18)) (.f64 (.f64 1/9 (.f64 (log.f64 y) x)) (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) (+.f64 a (.f64 i y))) 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) (+.f64 a (*.f64 i y))) 8)) 1/18))))))
(exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (log.f64 y)))))
(pow.f64 (exp.f64 1/9) (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 (log.f64 y))))
(+.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (log.f64 y))))) (.f64 1/9 (/.f64 (.f64 (+.f64 (/.f64 (.f64 y i) (log.f64 y)) (+.f64 (/.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (log.f64 y)) (/.f64 a (log.f64 y)))) (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (log.f64 y)))))) x)))
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(+.f64 (/.f64 (.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (log.f64 y))))) (+.f64 (.f64 -1/18 (/.f64 (pow.f64 (+.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (+.f64 a (.f64 i y))) 2) (pow.f64 (log.f64 y) 2))) (.f64 1/162 (pow.f64 (+.f64 (/.f64 (.f64 y i) (log.f64 y)) (+.f64 (/.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (log.f64 y)) (/.f64 a (log.f64 y)))) 2)))) (pow.f64 x 2)) (+.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (log.f64 y))))) (.f64 1/9 (/.f64 (.f64 (+.f64 (/.f64 (.f64 y i) (log.f64 y)) (+.f64 (/.f64 (.f64 (-.f64 b 1/2) (log.f64 c)) (log.f64 y)) (/.f64 a (log.f64 y)))) (exp.f64 (.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (log.f64 y)))))) x))))
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(+.f64 (+.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 (log.f64 y)))) (.f64 1/9 (/.f64 (+.f64 (+.f64 (/.f64 (.f64 (+.f64 b -1/2) (log.f64 c)) (log.f64 y)) (/.f64 a (log.f64 y))) (/.f64 y (/.f64 (log.f64 y) i))) (/.f64 x (pow.f64 (exp.f64 1/9) (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 (log.f64 y)))))))) (.f64 (/.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 (log.f64 y)))) x) (/.f64 (fma.f64 -1/18 (/.f64 (pow.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) (+.f64 a (.f64 i y))) 2) (pow.f64 (log.f64 y) 2)) (.f64 1/162 (pow.f64 (+.f64 (+.f64 (/.f64 (.f64 (+.f64 b -1/2) (log.f64 c)) (log.f64 y)) (/.f64 a (log.f64 y))) (/.f64 y (/.f64 (log.f64 y) i))) 2))) x)))
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(+.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 a))))) 2) (fma.f64 2 (.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 a))))) 2) a) (/.f64 (.f64 (pow.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x (.f64 i y))) 2) -4/81) a)) (fma.f64 2/9 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 a))))) 2) (/.f64 a (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x (.f64 i y))))) (.f64 1/81 (.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x (*.f64 i y))) 2) a) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 a))))) 2) a))))))
(+.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (+.f64 (.f64 -1/18 (pow.f64 (+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 y) x) (.f64 (log.f64 c) (-.f64 b 1/2)))) 2)) (.f64 1/162 (pow.f64 (+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 y) x) (.f64 (log.f64 c) (-.f64 b 1/2)))) 2)))) (pow.f64 a 2))) (+.f64 (.f64 2/9 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 y) x) (.f64 (log.f64 c) (-.f64 b 1/2))))) a)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (+.f64 (.f64 -1/27 (pow.f64 (+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 y) x) (.f64 (log.f64 c) (-.f64 b 1/2)))) 3)) (+.f64 (.f64 -1/4374 (pow.f64 (+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 y) x) (.f64 (log.f64 c) (-.f64 b 1/2)))) 3)) (.f64 1/162 (pow.f64 (+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 y) x) (.f64 (log.f64 c) (-.f64 b 1/2)))) 3)))))) (.f64 -2/9 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (.f64 (+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 y) x) (.f64 (log.f64 c) (-.f64 b 1/2)))) (+.f64 (.f64 -1/18 (pow.f64 (+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 y) x) (.f64 (log.f64 c) (-.f64 b 1/2)))) 2)) (.f64 1/162 (pow.f64 (+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 y) x) (.f64 (log.f64 c) (-.f64 b 1/2)))) 2))))))) (pow.f64 a 3))) (.f64 1/81 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (pow.f64 (+.f64 (.f64 y i) (+.f64 (.f64 (log.f64 y) x) (*.f64 (log.f64 c) (-.f64 b 1/2)))) 2)) (pow.f64 a 2)))))))
(+.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 a))))) 2) (fma.f64 2 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 a))))) 2) (/.f64 (.f64 a a) (.f64 (pow.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x (.f64 i y))) 2) -4/81))) (fma.f64 2/9 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 a))))) 2) (/.f64 a (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x (.f64 i y))))) (fma.f64 -1 (/.f64 (fma.f64 2 (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 a))))) 2) (fma.f64 -1/27 (pow.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x (.f64 i y))) 3) (.f64 (pow.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x (.f64 i y))) 3) 13/2187))) (.f64 (.f64 -2/9 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 a))))) 2)) (.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x (.f64 i y))) (.f64 (pow.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x (.f64 i y))) 2) -4/81)))) (pow.f64 a 3)) (.f64 1/81 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 a))))) 2) (/.f64 (.f64 a a) (pow.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x (*.f64 i y))) 2))))))))
(+.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 a))))) 2) (fma.f64 2 (.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 a))))) 2) a) (/.f64 (.f64 (pow.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x (.f64 i y))) 2) -4/81) a)) (fma.f64 2/9 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 a))))) 2) (/.f64 a (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x (.f64 i y))))) (fma.f64 -1 (/.f64 (fma.f64 2 (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 a))))) 2) (fma.f64 -1/27 (pow.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x (.f64 i y))) 3) (.f64 (pow.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x (.f64 i y))) 3) 13/2187))) (.f64 (.f64 -2/9 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 a))))) 2)) (.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x (.f64 i y))) (.f64 (pow.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x (.f64 i y))) 2) -4/81)))) (pow.f64 a 3)) (.f64 1/81 (.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) (fma.f64 (log.f64 y) x (*.f64 i y))) 2) a) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 a))))) 2) a)))))))

prune1.7s (12.9%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	690	1	691
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	690	9	699

Error

0.0b

Counts

699 → 9

Alt Table

Status	Error	Program
	1.8b	(+.f64 z (+.f64 t (.f64 (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a))))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a))))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a))))) 3) 2))))
✓	0.9b	(+.f64 z (+.f64 t (*.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))) (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))) 2))))
	28.3b	(+.f64 a (fma.f64 (log.f64 c) (+.f64 -1/2 b) (+.f64 t (fma.f64 y i (*.f64 (cbrt.f64 (fma.f64 (log.f64 y) x z)) (cbrt.f64 (pow.f64 (fma.f64 (log.f64 y) x z) 2)))))))
	39.0b	(+.f64 z (+.f64 t (fma.f64 x (log.f64 y) (fma.f64 y i (cbrt.f64 (pow.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) a) 3))))))
✓	0.1b	(+.f64 a (fma.f64 (log.f64 c) (+.f64 -1/2 b) (+.f64 t (fma.f64 y i (fma.f64 (log.f64 y) x z)))))
	25.6b	(+.f64 z (+.f64 t (.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a))))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))) 4))))))
	23.1b	(+.f64 z (+.f64 t (*.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))) (pow.f64 (exp.f64 (log.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))))) 2))))
✓	1.2b	(+.f64 z (+.f64 t (.f64 (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a))))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a))))) 2)) (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))) 2))))
	20.3b	(+.f64 z (+.f64 t (pow.f64 (sqrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))) 2)))

Compiler

Compiled 86403 to 46025 computations (46.7% saved)

regimes1.1s (8.2%)

Accuracy

Total 0.0b remaining (38.2%)

Threshold costs 0.0b (38.2%)

Counts

137 → 1

Compiler

Compiled 3377 to 1498 computations (55.6% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	30
1	33	30
2	40	28
3	45	28
4	46	28

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 z (+.f64 t (fma.f64 i y (fma.f64 (neg.f64 (+.f64 b -1/2)) (neg.f64 (log.f64 c)) (fma.f64 (log.f64 y) x a)))))

Outputs

(+.f64 z (+.f64 t (fma.f64 i y (fma.f64 (neg.f64 (+.f64 b -1/2)) (neg.f64 (log.f64 c)) (fma.f64 (log.f64 y) x a)))))

(+.f64 z (+.f64 t (fma.f64 i y (fma.f64 (+.f64 (neg.f64 b) 1/2) (neg.f64 (log.f64 c)) (fma.f64 (log.f64 y) x a)))))

(+.f64 z (+.f64 t (fma.f64 i y (fma.f64 (-.f64 1/2 b) (neg.f64 (log.f64 c)) (fma.f64 (log.f64 y) x a)))))

end237.0ms (1.8%)

Stop Event

1×

fuel

Remove

(sort z t a)

Compiler

Compiled 518 to 324 computations (37.5% saved)

Details

analyze1.9s (14.7%)

sample5.8s (44.3%)

preprocess97.0ms (0.7%)

simplify61.0ms (0.5%)

prune4.0ms (0%)

localize17.0ms (0.1%)

series142.0ms (1.1%)

rewrite46.0ms (0.3%)

simplify138.0ms (1%)

prune273.0ms (2.1%)

localize18.0ms (0.1%)

series47.0ms (0.4%)

rewrite42.0ms (0.3%)

simplify97.0ms (0.7%)

prune125.0ms (0.9%)

localize21.0ms (0.2%)

series90.0ms (0.7%)

rewrite61.0ms (0.5%)

simplify118.0ms (0.9%)

prune490.0ms (3.7%)

localize36.0ms (0.3%)

series166.0ms (1.3%)

rewrite55.0ms (0.4%)

simplify245.0ms (1.9%)

prune1.7s (12.9%)

regimes1.1s (8.2%)

simplify3.0ms (0%)

end237.0ms (1.8%)

Profiling