Metrics for Expression, p6

analyze1.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	0%	100%	0%	0%	0%	0
100%	0%	0%	100%	0%	0%	0%	1

Compiler

Compiled 44 to 32 computations (27.3% saved)

sample2.2s (30.5%)

Results

2.1s

8256×

body

256

valid

Bogosity

preprocess672.0ms (9.4%)

Algorithm

1×	egg-herbie

Rules

2014×	`unsub-neg`
1530×	`fma-def`
1452×	`fma-neg`
1308×	`associate-+l-`
754×	`sub-neg`

Problems

195×	`(+.f64 a (+.f64 b (+.f64 c d)))`
61×	No Errors

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	52	312
1	128	300
2	381	300
3	1165	300
4	2501	300
5	4122	300
6	5962	300
7	6824	300
8	7356	300
9	7439	300
10	7444	300
11	7444	300
12	7444	300
13	7445	300
14	7445	300

Stop Event

1×	node limit

Calls

Call 1

Inputs
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) 2)
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) 2)
(*.f64 (+.f64 (neg.f64 a) (+.f64 b (+.f64 c d))) 2)
(*.f64 (+.f64 a (+.f64 (neg.f64 b) (+.f64 c d))) 2)
(*.f64 (+.f64 a (+.f64 b (+.f64 (neg.f64 c) d))) 2)
(*.f64 (+.f64 a (+.f64 b (+.f64 c (neg.f64 d)))) 2)
(*.f64 (+.f64 b (+.f64 a (+.f64 c d))) 2)
(*.f64 (+.f64 c (+.f64 b (+.f64 a d))) 2)
(*.f64 (+.f64 d (+.f64 b (+.f64 c a))) 2)
(*.f64 (+.f64 a (+.f64 c (+.f64 b d))) 2)
(*.f64 (+.f64 a (+.f64 d (+.f64 c b))) 2)
(*.f64 (+.f64 a (+.f64 b (+.f64 d c))) 2)

Outputs
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) 2)
(*.f64 (+.f64 d (+.f64 b (+.f64 a c))) 2)
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) 2)
(*.f64 (+.f64 d (+.f64 b (+.f64 a c))) 2)
(*.f64 (+.f64 (neg.f64 a) (+.f64 b (+.f64 c d))) 2)
(*.f64 2 (+.f64 (+.f64 b (+.f64 c d)) (neg.f64 a)))
(*.f64 2 (-.f64 (+.f64 b (+.f64 c d)) a))
(*.f64 2 (+.f64 b (+.f64 c (-.f64 d a))))
(*.f64 (+.f64 a (+.f64 (neg.f64 b) (+.f64 c d))) 2)
(*.f64 2 (+.f64 a (+.f64 (+.f64 c d) (neg.f64 b))))
(*.f64 2 (+.f64 (+.f64 c d) (-.f64 a b)))
(*.f64 2 (+.f64 a (+.f64 c (-.f64 d b))))
(*.f64 (+.f64 a (+.f64 b (+.f64 (neg.f64 c) d))) 2)
(*.f64 2 (+.f64 a (+.f64 b (+.f64 d (neg.f64 c)))))
(*.f64 2 (+.f64 a (+.f64 d (-.f64 b c))))
(*.f64 2 (+.f64 a (+.f64 b (-.f64 d c))))
(*.f64 (+.f64 a (+.f64 b (+.f64 c (neg.f64 d)))) 2)
(*.f64 2 (+.f64 a (+.f64 b (-.f64 c d))))
(*.f64 2 (+.f64 a (-.f64 c (-.f64 d b))))
(*.f64 (+.f64 b (+.f64 a (+.f64 c d))) 2)
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) 2)
(*.f64 (+.f64 d (+.f64 b (+.f64 a c))) 2)
(*.f64 (+.f64 c (+.f64 b (+.f64 a d))) 2)
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) 2)
(*.f64 (+.f64 d (+.f64 b (+.f64 a c))) 2)
(*.f64 (+.f64 d (+.f64 b (+.f64 c a))) 2)
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) 2)
(*.f64 (+.f64 d (+.f64 b (+.f64 a c))) 2)
(*.f64 (+.f64 a (+.f64 c (+.f64 b d))) 2)
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) 2)
(*.f64 (+.f64 d (+.f64 b (+.f64 a c))) 2)
(*.f64 (+.f64 a (+.f64 d (+.f64 c b))) 2)
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) 2)
(*.f64 (+.f64 d (+.f64 b (+.f64 a c))) 2)
(*.f64 (+.f64 a (+.f64 b (+.f64 d c))) 2)
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) 2)
(*.f64 (+.f64 d (+.f64 b (+.f64 a c))) 2)

Symmetry

(sort a b c d)

Compiler

Compiled 47 to 20 computations (57.4% saved)

eval2.0ms (0%)

Compiler: Compiled 13 to 9 computations (30.8% saved)

prune7.0ms (0.1%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.3%	(*.f64 (+.f64 d (+.f64 b (+.f64 a c))) 2)
▶	94.2%	(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) 2)
▶	95.3%	(*.f64 (+.f64 d (+.f64 b (+.f64 a c))) 2)
▶	94.2%	(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) 2)

Compiler

Compiled 52 to 36 computations (30.8% saved)

localize115.0ms (1.6%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	99.7%	(+.f64 b (+.f64 a c))
✓	95.6%	(+.f64 d (+.f64 b (+.f64 a c)))
✓	99.3%	(+.f64 b (+.f64 c d))
✓	95.6%	(+.f64 a (+.f64 b (+.f64 c d)))

Compiler

Compiled 63 to 17 computations (73% saved)

series7.0ms (0.1%)

Counts

4 → 105

Calls

42 calls:

Time	Variable		Point	Expression
0.0ms	d	@	inf	(+.f64 a (+.f64 b (+.f64 c d)))
0.0ms	c	@	inf	(+.f64 a (+.f64 b (+.f64 c d)))
0.0ms	b	@	inf	(+.f64 a (+.f64 b (+.f64 c d)))
0.0ms	b	@	0	(+.f64 a (+.f64 b (+.f64 c d)))
0.0ms	d	@	-inf	(+.f64 a (+.f64 b (+.f64 c d)))

rewrite109.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1406×	`log-prod`
1196×	`fma-neg`
564×	`expm1-udef`
564×	`log1p-udef`
468×	`hypot-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	64
1	301	64
2	5272	64

Stop Event

1×	node limit

Counts

4 → 292

Calls

Call 1

Inputs
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 b (+.f64 c d))
(+.f64 d (+.f64 b (+.f64 a c)))
(+.f64 b (+.f64 a c))

Outputs
(-.f64 (exp.f64 (log1p.f64 (+.f64 (+.f64 c d) (+.f64 a b)))) 1)
(-.f64 (/.f64 (*.f64 a a) (-.f64 a (+.f64 b (+.f64 c d)))) (/.f64 (pow.f64 (+.f64 b (+.f64 c d)) 2) (-.f64 a (+.f64 b (+.f64 c d)))))
(-.f64 (/.f64 (*.f64 d d) (-.f64 (-.f64 d (+.f64 a c)) b)) (/.f64 (pow.f64 (+.f64 a (+.f64 b c)) 2) (-.f64 (-.f64 d (+.f64 a c)) b)))
(*.f64 (+.f64 (+.f64 c d) (+.f64 a b)) 1)
(*.f64 1 (+.f64 (+.f64 c d) (+.f64 a b)))
(*.f64 (cbrt.f64 (+.f64 (+.f64 c d) (+.f64 a b))) (pow.f64 (cbrt.f64 (+.f64 (+.f64 c d) (+.f64 a b))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 c d) (+.f64 a b))) 2) (cbrt.f64 (+.f64 (+.f64 c d) (+.f64 a b))))
(*.f64 (sqrt.f64 (+.f64 (+.f64 c d) (+.f64 a b))) (sqrt.f64 (+.f64 (+.f64 c d) (+.f64 a b))))
(.f64 (+.f64 (pow.f64 (+.f64 b (+.f64 c d)) 3) (pow.f64 a 3)) (/.f64 1 (fma.f64 a a (.f64 (+.f64 b (+.f64 c d)) (-.f64 (+.f64 b (+.f64 c d)) a)))))
(.f64 (+.f64 (pow.f64 (+.f64 a (+.f64 b c)) 3) (pow.f64 d 3)) (/.f64 1 (fma.f64 d d (.f64 (+.f64 a (+.f64 b c)) (-.f64 (+.f64 a (+.f64 b c)) d)))))
(.f64 (-.f64 (.f64 a a) (pow.f64 (+.f64 b (+.f64 c d)) 2)) (/.f64 1 (-.f64 a (+.f64 b (+.f64 c d)))))
(.f64 (-.f64 (.f64 d d) (pow.f64 (+.f64 a (+.f64 b c)) 2)) (/.f64 1 (-.f64 (-.f64 d (+.f64 a c)) b)))
(/.f64 1 (/.f64 (fma.f64 a a (*.f64 (+.f64 b (+.f64 c d)) (-.f64 (+.f64 b (+.f64 c d)) a))) (+.f64 (pow.f64 (+.f64 b (+.f64 c d)) 3) (pow.f64 a 3))))
(/.f64 1 (/.f64 (-.f64 a (+.f64 b (+.f64 c d))) (-.f64 (*.f64 a a) (pow.f64 (+.f64 b (+.f64 c d)) 2))))
(/.f64 1 (/.f64 (fma.f64 d d (*.f64 (+.f64 a (+.f64 b c)) (-.f64 (+.f64 a (+.f64 b c)) d))) (+.f64 (pow.f64 (+.f64 a (+.f64 b c)) 3) (pow.f64 d 3))))
(/.f64 1 (/.f64 (-.f64 (-.f64 d (+.f64 a c)) b) (-.f64 (*.f64 d d) (pow.f64 (+.f64 a (+.f64 b c)) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 b (+.f64 c d)) 3) (pow.f64 a 3)) (fma.f64 a a (*.f64 (+.f64 b (+.f64 c d)) (-.f64 (+.f64 b (+.f64 c d)) a))))
(/.f64 (+.f64 (pow.f64 (+.f64 b (+.f64 c d)) 3) (pow.f64 a 3)) (+.f64 (pow.f64 (+.f64 b (+.f64 c d)) 2) (-.f64 (.f64 a a) (.f64 a (+.f64 b (+.f64 c d))))))
(/.f64 (+.f64 (pow.f64 (+.f64 a (+.f64 b c)) 3) (pow.f64 d 3)) (fma.f64 d d (*.f64 (+.f64 a (+.f64 b c)) (-.f64 (+.f64 a (+.f64 b c)) d))))
(/.f64 (+.f64 (pow.f64 (+.f64 a (+.f64 b c)) 3) (pow.f64 d 3)) (+.f64 (pow.f64 (+.f64 a (+.f64 b c)) 2) (-.f64 (.f64 d d) (.f64 d (+.f64 a (+.f64 b c))))))
(/.f64 (-.f64 (*.f64 a a) (pow.f64 (+.f64 b (+.f64 c d)) 2)) (-.f64 a (+.f64 b (+.f64 c d))))
(/.f64 (-.f64 (*.f64 d d) (pow.f64 (+.f64 a (+.f64 b c)) 2)) (-.f64 (-.f64 d (+.f64 a c)) b))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 b (+.f64 c d)) 3) (pow.f64 a 3))) (neg.f64 (fma.f64 a a (*.f64 (+.f64 b (+.f64 c d)) (-.f64 (+.f64 b (+.f64 c d)) a)))))
(/.f64 (neg.f64 (-.f64 (*.f64 a a) (pow.f64 (+.f64 b (+.f64 c d)) 2))) (neg.f64 (-.f64 a (+.f64 b (+.f64 c d)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 a (+.f64 b c)) 3) (pow.f64 d 3))) (neg.f64 (fma.f64 d d (*.f64 (+.f64 a (+.f64 b c)) (-.f64 (+.f64 a (+.f64 b c)) d)))))
(/.f64 (neg.f64 (-.f64 (*.f64 d d) (pow.f64 (+.f64 a (+.f64 b c)) 2))) (neg.f64 (-.f64 (-.f64 d (+.f64 a c)) b)))
(/.f64 (+.f64 (pow.f64 (+.f64 b d) 3) (pow.f64 (+.f64 a c) 3)) (+.f64 (.f64 (+.f64 b d) (+.f64 b d)) (-.f64 (pow.f64 (+.f64 a c) 2) (.f64 (+.f64 b d) (+.f64 a c)))))
(/.f64 (+.f64 (pow.f64 (+.f64 a b) 3) (pow.f64 (+.f64 c d) 3)) (+.f64 (.f64 (+.f64 a b) (+.f64 a b)) (-.f64 (pow.f64 (+.f64 c d) 2) (.f64 (+.f64 a b) (+.f64 c d)))))
(/.f64 (-.f64 (pow.f64 (+.f64 a (+.f64 b c)) 2) (*.f64 d d)) (-.f64 (+.f64 a (+.f64 b c)) d))
(/.f64 (fma.f64 (+.f64 b d) (+.f64 b d) (neg.f64 (pow.f64 (+.f64 a c) 2))) (-.f64 (+.f64 b d) (+.f64 a c)))
(/.f64 (-.f64 (pow.f64 (+.f64 b (+.f64 c d)) 2) (*.f64 a a)) (-.f64 (+.f64 b (+.f64 c d)) a))
(/.f64 (-.f64 (*.f64 (+.f64 a b) (+.f64 a b)) (pow.f64 (+.f64 c d) 2)) (-.f64 (+.f64 a b) (+.f64 c d)))
(pow.f64 (+.f64 (+.f64 c d) (+.f64 a b)) 1)
(pow.f64 (cbrt.f64 (+.f64 (+.f64 c d) (+.f64 a b))) 3)
(pow.f64 (pow.f64 (+.f64 (+.f64 c d) (+.f64 a b)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (+.f64 c d) (+.f64 a b))) 2)
(sqrt.f64 (pow.f64 (+.f64 (+.f64 c d) (+.f64 a b)) 2))
(log.f64 (exp.f64 (+.f64 (+.f64 c d) (+.f64 a b))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (+.f64 c d) (+.f64 a b)))))
(log.f64 (*.f64 (exp.f64 a) (+.f64 1 (expm1.f64 (+.f64 b (+.f64 c d))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 a)) (exp.f64 (+.f64 b (+.f64 c d)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 a)) (+.f64 1 (expm1.f64 (+.f64 b (+.f64 c d))))))
(log.f64 (*.f64 (exp.f64 d) (+.f64 1 (expm1.f64 (+.f64 a (+.f64 b c))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 d)) (exp.f64 (+.f64 a (+.f64 b c)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 d)) (+.f64 1 (expm1.f64 (+.f64 a (+.f64 b c))))))
(log.f64 (*.f64 (exp.f64 (+.f64 c d)) (exp.f64 (+.f64 a b))))
(log.f64 (.f64 (exp.f64 (+.f64 c d)) (.f64 (exp.f64 a) (exp.f64 b))))
(log.f64 (.f64 (exp.f64 (+.f64 c d)) (.f64 (exp.f64 b) (exp.f64 a))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 c d))) (exp.f64 (+.f64 a b))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (+.f64 c d))) (.f64 (exp.f64 a) (exp.f64 b))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (+.f64 c d))) (.f64 (exp.f64 b) (exp.f64 a))))
(log.f64 (*.f64 (exp.f64 (+.f64 b (+.f64 c d))) (+.f64 1 (expm1.f64 a))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 b (+.f64 c d)))) (exp.f64 a)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 b (+.f64 c d)))) (+.f64 1 (expm1.f64 a))))
(log.f64 (*.f64 (exp.f64 (+.f64 a c)) (exp.f64 (+.f64 b d))))
(log.f64 (.f64 (exp.f64 (+.f64 a c)) (.f64 (exp.f64 d) (exp.f64 b))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 a c))) (exp.f64 (+.f64 b d))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (+.f64 a c))) (.f64 (exp.f64 d) (exp.f64 b))))
(log.f64 (*.f64 (exp.f64 (+.f64 a (+.f64 b c))) (+.f64 1 (expm1.f64 d))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 a (+.f64 b c)))) (exp.f64 d)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 a (+.f64 b c)))) (+.f64 1 (expm1.f64 d))))
(log.f64 (*.f64 (exp.f64 (+.f64 a b)) (+.f64 1 (expm1.f64 (+.f64 c d)))))
(log.f64 (.f64 (.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (+.f64 c d))))
(log.f64 (.f64 (.f64 (exp.f64 a) (exp.f64 b)) (+.f64 1 (expm1.f64 (+.f64 c d)))))
(log.f64 (.f64 (.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 (+.f64 c d))))
(log.f64 (.f64 (.f64 (exp.f64 b) (exp.f64 a)) (+.f64 1 (expm1.f64 (+.f64 c d)))))
(log.f64 (*.f64 (exp.f64 (+.f64 b d)) (+.f64 1 (expm1.f64 (+.f64 a c)))))
(log.f64 (.f64 (.f64 (exp.f64 d) (exp.f64 b)) (exp.f64 (+.f64 a c))))
(log.f64 (.f64 (.f64 (exp.f64 d) (exp.f64 b)) (+.f64 1 (expm1.f64 (+.f64 a c)))))
(cbrt.f64 (pow.f64 (+.f64 (+.f64 c d) (+.f64 a b)) 3))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 c d) (+.f64 a b))))
(exp.f64 (log.f64 (+.f64 (+.f64 c d) (+.f64 a b))))
(exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 c d) (+.f64 a b))) 1))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 c d) (+.f64 a b))))
(fma.f64 1 a (+.f64 b (+.f64 c d)))
(fma.f64 1 d (+.f64 a (+.f64 b c)))
(fma.f64 1 (+.f64 b (+.f64 c d)) a)
(fma.f64 1 (+.f64 a (+.f64 b c)) d)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 a (+.f64 b c))) 2) (cbrt.f64 (+.f64 a (+.f64 b c))) d)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 b (+.f64 c d))) 2) (cbrt.f64 (+.f64 b (+.f64 c d))) a)
(fma.f64 (pow.f64 (cbrt.f64 d) 2) (cbrt.f64 d) (+.f64 a (+.f64 b c)))
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (+.f64 b (+.f64 c d)))
(fma.f64 (sqrt.f64 (+.f64 a (+.f64 b c))) (sqrt.f64 (+.f64 a (+.f64 b c))) d)
(fma.f64 (sqrt.f64 (+.f64 b (+.f64 c d))) (sqrt.f64 (+.f64 b (+.f64 c d))) a)
(fma.f64 (sqrt.f64 d) (sqrt.f64 d) (+.f64 a (+.f64 b c)))
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (+.f64 b (+.f64 c d)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 b (+.f64 c d)))) 1)
(-.f64 (/.f64 (*.f64 b b) (-.f64 b (+.f64 c d))) (/.f64 (pow.f64 (+.f64 c d) 2) (-.f64 b (+.f64 c d))))
(*.f64 (+.f64 b (+.f64 c d)) 1)
(*.f64 1 (+.f64 b (+.f64 c d)))
(*.f64 (cbrt.f64 (+.f64 b (+.f64 c d))) (pow.f64 (cbrt.f64 (+.f64 b (+.f64 c d))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 b (+.f64 c d))) 2) (cbrt.f64 (+.f64 b (+.f64 c d))))
(*.f64 (sqrt.f64 (+.f64 b (+.f64 c d))) (sqrt.f64 (+.f64 b (+.f64 c d))))
(.f64 (+.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 b 3)) (/.f64 1 (fma.f64 b b (.f64 (+.f64 c d) (-.f64 (+.f64 c d) b)))))
(.f64 (-.f64 (.f64 b b) (pow.f64 (+.f64 c d) 2)) (/.f64 1 (-.f64 b (+.f64 c d))))
(/.f64 1 (/.f64 (fma.f64 b b (*.f64 (+.f64 c d) (-.f64 (+.f64 c d) b))) (+.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 b 3))))
(/.f64 1 (/.f64 (-.f64 b (+.f64 c d)) (-.f64 (*.f64 b b) (pow.f64 (+.f64 c d) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 b 3)) (fma.f64 b b (*.f64 (+.f64 c d) (-.f64 (+.f64 c d) b))))
(/.f64 (+.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 b 3)) (+.f64 (pow.f64 (+.f64 c d) 2) (-.f64 (.f64 b b) (.f64 b (+.f64 c d)))))
(/.f64 (-.f64 (*.f64 b b) (pow.f64 (+.f64 c d) 2)) (-.f64 b (+.f64 c d)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 b 3))) (neg.f64 (fma.f64 b b (*.f64 (+.f64 c d) (-.f64 (+.f64 c d) b)))))
(/.f64 (neg.f64 (-.f64 (*.f64 b b) (pow.f64 (+.f64 c d) 2))) (neg.f64 (-.f64 b (+.f64 c d))))
(/.f64 (+.f64 (pow.f64 (+.f64 b c) 3) (pow.f64 d 3)) (+.f64 (.f64 (+.f64 b c) (+.f64 b c)) (-.f64 (.f64 d d) (*.f64 (+.f64 b c) d))))
(/.f64 (-.f64 (pow.f64 (+.f64 c d) 2) (*.f64 b b)) (-.f64 (+.f64 c d) b))
(/.f64 (-.f64 (.f64 (+.f64 b c) (+.f64 b c)) (.f64 d d)) (-.f64 (+.f64 b c) d))
(pow.f64 (+.f64 b (+.f64 c d)) 1)
(pow.f64 (cbrt.f64 (+.f64 b (+.f64 c d))) 3)
(pow.f64 (pow.f64 (+.f64 b (+.f64 c d)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 b (+.f64 c d))) 2)
(sqrt.f64 (pow.f64 (+.f64 b (+.f64 c d)) 2))
(log.f64 (exp.f64 (+.f64 b (+.f64 c d))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 b (+.f64 c d)))))
(log.f64 (*.f64 (exp.f64 b) (+.f64 1 (expm1.f64 (+.f64 c d)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 b)) (exp.f64 (+.f64 c d))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 b)) (+.f64 1 (expm1.f64 (+.f64 c d)))))
(log.f64 (*.f64 (exp.f64 c) (exp.f64 (+.f64 b d))))
(log.f64 (.f64 (exp.f64 c) (.f64 (exp.f64 d) (exp.f64 b))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 c)) (exp.f64 (+.f64 b d))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 c)) (.f64 (exp.f64 d) (exp.f64 b))))
(log.f64 (*.f64 (exp.f64 d) (exp.f64 (+.f64 b c))))
(log.f64 (.f64 (exp.f64 d) (.f64 (exp.f64 b) (exp.f64 c))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 d)) (exp.f64 (+.f64 b c))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 d)) (.f64 (exp.f64 b) (exp.f64 c))))
(log.f64 (*.f64 (exp.f64 (+.f64 c d)) (+.f64 1 (expm1.f64 b))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 c d))) (exp.f64 b)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 c d))) (+.f64 1 (expm1.f64 b))))
(log.f64 (*.f64 (exp.f64 (+.f64 b c)) (+.f64 1 (expm1.f64 d))))
(log.f64 (.f64 (.f64 (exp.f64 b) (exp.f64 c)) (exp.f64 d)))
(log.f64 (.f64 (.f64 (exp.f64 b) (exp.f64 c)) (+.f64 1 (expm1.f64 d))))
(log.f64 (*.f64 (exp.f64 (+.f64 b d)) (exp.f64 c)))
(log.f64 (*.f64 (exp.f64 (+.f64 b d)) (+.f64 1 (expm1.f64 c))))
(log.f64 (.f64 (.f64 (exp.f64 d) (exp.f64 b)) (exp.f64 c)))
(log.f64 (.f64 (.f64 (exp.f64 d) (exp.f64 b)) (+.f64 1 (expm1.f64 c))))
(cbrt.f64 (pow.f64 (+.f64 b (+.f64 c d)) 3))
(expm1.f64 (log1p.f64 (+.f64 b (+.f64 c d))))
(exp.f64 (log.f64 (+.f64 b (+.f64 c d))))
(exp.f64 (*.f64 (log.f64 (+.f64 b (+.f64 c d))) 1))
(log1p.f64 (expm1.f64 (+.f64 b (+.f64 c d))))
(fma.f64 1 b (+.f64 c d))
(fma.f64 1 (+.f64 c d) b)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 c d)) 2) (cbrt.f64 (+.f64 c d)) b)
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (+.f64 c d))
(fma.f64 (sqrt.f64 (+.f64 c d)) (sqrt.f64 (+.f64 c d)) b)
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) (+.f64 c d))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (+.f64 c d) (+.f64 a b)))) 1)
(-.f64 (/.f64 (*.f64 a a) (-.f64 a (+.f64 b (+.f64 c d)))) (/.f64 (pow.f64 (+.f64 b (+.f64 c d)) 2) (-.f64 a (+.f64 b (+.f64 c d)))))
(-.f64 (/.f64 (*.f64 d d) (-.f64 (-.f64 d (+.f64 a c)) b)) (/.f64 (pow.f64 (+.f64 a (+.f64 b c)) 2) (-.f64 (-.f64 d (+.f64 a c)) b)))
(*.f64 (+.f64 (+.f64 c d) (+.f64 a b)) 1)
(*.f64 1 (+.f64 (+.f64 c d) (+.f64 a b)))
(*.f64 (cbrt.f64 (+.f64 (+.f64 c d) (+.f64 a b))) (pow.f64 (cbrt.f64 (+.f64 (+.f64 c d) (+.f64 a b))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 c d) (+.f64 a b))) 2) (cbrt.f64 (+.f64 (+.f64 c d) (+.f64 a b))))
(*.f64 (sqrt.f64 (+.f64 (+.f64 c d) (+.f64 a b))) (sqrt.f64 (+.f64 (+.f64 c d) (+.f64 a b))))
(.f64 (+.f64 (pow.f64 (+.f64 b (+.f64 c d)) 3) (pow.f64 a 3)) (/.f64 1 (fma.f64 a a (.f64 (+.f64 b (+.f64 c d)) (-.f64 (+.f64 b (+.f64 c d)) a)))))
(.f64 (+.f64 (pow.f64 (+.f64 a (+.f64 b c)) 3) (pow.f64 d 3)) (/.f64 1 (fma.f64 d d (.f64 (+.f64 a (+.f64 b c)) (-.f64 (+.f64 a (+.f64 b c)) d)))))
(.f64 (-.f64 (.f64 a a) (pow.f64 (+.f64 b (+.f64 c d)) 2)) (/.f64 1 (-.f64 a (+.f64 b (+.f64 c d)))))
(.f64 (-.f64 (.f64 d d) (pow.f64 (+.f64 a (+.f64 b c)) 2)) (/.f64 1 (-.f64 (-.f64 d (+.f64 a c)) b)))
(/.f64 1 (/.f64 (fma.f64 a a (*.f64 (+.f64 b (+.f64 c d)) (-.f64 (+.f64 b (+.f64 c d)) a))) (+.f64 (pow.f64 (+.f64 b (+.f64 c d)) 3) (pow.f64 a 3))))
(/.f64 1 (/.f64 (-.f64 a (+.f64 b (+.f64 c d))) (-.f64 (*.f64 a a) (pow.f64 (+.f64 b (+.f64 c d)) 2))))
(/.f64 1 (/.f64 (fma.f64 d d (*.f64 (+.f64 a (+.f64 b c)) (-.f64 (+.f64 a (+.f64 b c)) d))) (+.f64 (pow.f64 (+.f64 a (+.f64 b c)) 3) (pow.f64 d 3))))
(/.f64 1 (/.f64 (-.f64 (-.f64 d (+.f64 a c)) b) (-.f64 (*.f64 d d) (pow.f64 (+.f64 a (+.f64 b c)) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 b (+.f64 c d)) 3) (pow.f64 a 3)) (fma.f64 a a (*.f64 (+.f64 b (+.f64 c d)) (-.f64 (+.f64 b (+.f64 c d)) a))))
(/.f64 (+.f64 (pow.f64 (+.f64 b (+.f64 c d)) 3) (pow.f64 a 3)) (+.f64 (pow.f64 (+.f64 b (+.f64 c d)) 2) (-.f64 (.f64 a a) (.f64 a (+.f64 b (+.f64 c d))))))
(/.f64 (+.f64 (pow.f64 (+.f64 a (+.f64 b c)) 3) (pow.f64 d 3)) (fma.f64 d d (*.f64 (+.f64 a (+.f64 b c)) (-.f64 (+.f64 a (+.f64 b c)) d))))
(/.f64 (+.f64 (pow.f64 (+.f64 a (+.f64 b c)) 3) (pow.f64 d 3)) (+.f64 (pow.f64 (+.f64 a (+.f64 b c)) 2) (-.f64 (.f64 d d) (.f64 d (+.f64 a (+.f64 b c))))))
(/.f64 (-.f64 (*.f64 a a) (pow.f64 (+.f64 b (+.f64 c d)) 2)) (-.f64 a (+.f64 b (+.f64 c d))))
(/.f64 (-.f64 (*.f64 d d) (pow.f64 (+.f64 a (+.f64 b c)) 2)) (-.f64 (-.f64 d (+.f64 a c)) b))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 b (+.f64 c d)) 3) (pow.f64 a 3))) (neg.f64 (fma.f64 a a (*.f64 (+.f64 b (+.f64 c d)) (-.f64 (+.f64 b (+.f64 c d)) a)))))
(/.f64 (neg.f64 (-.f64 (*.f64 a a) (pow.f64 (+.f64 b (+.f64 c d)) 2))) (neg.f64 (-.f64 a (+.f64 b (+.f64 c d)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 a (+.f64 b c)) 3) (pow.f64 d 3))) (neg.f64 (fma.f64 d d (*.f64 (+.f64 a (+.f64 b c)) (-.f64 (+.f64 a (+.f64 b c)) d)))))
(/.f64 (neg.f64 (-.f64 (*.f64 d d) (pow.f64 (+.f64 a (+.f64 b c)) 2))) (neg.f64 (-.f64 (-.f64 d (+.f64 a c)) b)))
(/.f64 (+.f64 (pow.f64 (+.f64 b d) 3) (pow.f64 (+.f64 a c) 3)) (+.f64 (.f64 (+.f64 b d) (+.f64 b d)) (-.f64 (pow.f64 (+.f64 a c) 2) (.f64 (+.f64 b d) (+.f64 a c)))))
(/.f64 (+.f64 (pow.f64 (+.f64 a b) 3) (pow.f64 (+.f64 c d) 3)) (+.f64 (.f64 (+.f64 a b) (+.f64 a b)) (-.f64 (pow.f64 (+.f64 c d) 2) (.f64 (+.f64 a b) (+.f64 c d)))))
(/.f64 (-.f64 (pow.f64 (+.f64 a (+.f64 b c)) 2) (*.f64 d d)) (-.f64 (+.f64 a (+.f64 b c)) d))
(/.f64 (fma.f64 (+.f64 b d) (+.f64 b d) (neg.f64 (pow.f64 (+.f64 a c) 2))) (-.f64 (+.f64 b d) (+.f64 a c)))
(/.f64 (-.f64 (pow.f64 (+.f64 b (+.f64 c d)) 2) (*.f64 a a)) (-.f64 (+.f64 b (+.f64 c d)) a))
(/.f64 (-.f64 (*.f64 (+.f64 a b) (+.f64 a b)) (pow.f64 (+.f64 c d) 2)) (-.f64 (+.f64 a b) (+.f64 c d)))
(pow.f64 (+.f64 (+.f64 c d) (+.f64 a b)) 1)
(pow.f64 (cbrt.f64 (+.f64 (+.f64 c d) (+.f64 a b))) 3)
(pow.f64 (pow.f64 (+.f64 (+.f64 c d) (+.f64 a b)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (+.f64 c d) (+.f64 a b))) 2)
(sqrt.f64 (pow.f64 (+.f64 (+.f64 c d) (+.f64 a b)) 2))
(log.f64 (exp.f64 (+.f64 (+.f64 c d) (+.f64 a b))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (+.f64 c d) (+.f64 a b)))))
(log.f64 (*.f64 (exp.f64 a) (+.f64 1 (expm1.f64 (+.f64 b (+.f64 c d))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 a)) (exp.f64 (+.f64 b (+.f64 c d)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 a)) (+.f64 1 (expm1.f64 (+.f64 b (+.f64 c d))))))
(log.f64 (*.f64 (exp.f64 d) (+.f64 1 (expm1.f64 (+.f64 a (+.f64 b c))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 d)) (exp.f64 (+.f64 a (+.f64 b c)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 d)) (+.f64 1 (expm1.f64 (+.f64 a (+.f64 b c))))))
(log.f64 (*.f64 (exp.f64 (+.f64 c d)) (exp.f64 (+.f64 a b))))
(log.f64 (.f64 (exp.f64 (+.f64 c d)) (.f64 (exp.f64 a) (exp.f64 b))))
(log.f64 (.f64 (exp.f64 (+.f64 c d)) (.f64 (exp.f64 b) (exp.f64 a))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 c d))) (exp.f64 (+.f64 a b))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (+.f64 c d))) (.f64 (exp.f64 a) (exp.f64 b))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (+.f64 c d))) (.f64 (exp.f64 b) (exp.f64 a))))
(log.f64 (*.f64 (exp.f64 (+.f64 b (+.f64 c d))) (+.f64 1 (expm1.f64 a))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 b (+.f64 c d)))) (exp.f64 a)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 b (+.f64 c d)))) (+.f64 1 (expm1.f64 a))))
(log.f64 (*.f64 (exp.f64 (+.f64 a c)) (exp.f64 (+.f64 b d))))
(log.f64 (.f64 (exp.f64 (+.f64 a c)) (.f64 (exp.f64 d) (exp.f64 b))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 a c))) (exp.f64 (+.f64 b d))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (+.f64 a c))) (.f64 (exp.f64 d) (exp.f64 b))))
(log.f64 (*.f64 (exp.f64 (+.f64 a (+.f64 b c))) (+.f64 1 (expm1.f64 d))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 a (+.f64 b c)))) (exp.f64 d)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 a (+.f64 b c)))) (+.f64 1 (expm1.f64 d))))
(log.f64 (*.f64 (exp.f64 (+.f64 a b)) (+.f64 1 (expm1.f64 (+.f64 c d)))))
(log.f64 (.f64 (.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (+.f64 c d))))
(log.f64 (.f64 (.f64 (exp.f64 a) (exp.f64 b)) (+.f64 1 (expm1.f64 (+.f64 c d)))))
(log.f64 (.f64 (.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 (+.f64 c d))))
(log.f64 (.f64 (.f64 (exp.f64 b) (exp.f64 a)) (+.f64 1 (expm1.f64 (+.f64 c d)))))
(log.f64 (*.f64 (exp.f64 (+.f64 b d)) (+.f64 1 (expm1.f64 (+.f64 a c)))))
(log.f64 (.f64 (.f64 (exp.f64 d) (exp.f64 b)) (exp.f64 (+.f64 a c))))
(log.f64 (.f64 (.f64 (exp.f64 d) (exp.f64 b)) (+.f64 1 (expm1.f64 (+.f64 a c)))))
(cbrt.f64 (pow.f64 (+.f64 (+.f64 c d) (+.f64 a b)) 3))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 c d) (+.f64 a b))))
(exp.f64 (log.f64 (+.f64 (+.f64 c d) (+.f64 a b))))
(exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 c d) (+.f64 a b))) 1))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 c d) (+.f64 a b))))
(fma.f64 1 a (+.f64 b (+.f64 c d)))
(fma.f64 1 d (+.f64 a (+.f64 b c)))
(fma.f64 1 (+.f64 b (+.f64 c d)) a)
(fma.f64 1 (+.f64 a (+.f64 b c)) d)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 a (+.f64 b c))) 2) (cbrt.f64 (+.f64 a (+.f64 b c))) d)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 b (+.f64 c d))) 2) (cbrt.f64 (+.f64 b (+.f64 c d))) a)
(fma.f64 (pow.f64 (cbrt.f64 d) 2) (cbrt.f64 d) (+.f64 a (+.f64 b c)))
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (+.f64 b (+.f64 c d)))
(fma.f64 (sqrt.f64 (+.f64 a (+.f64 b c))) (sqrt.f64 (+.f64 a (+.f64 b c))) d)
(fma.f64 (sqrt.f64 (+.f64 b (+.f64 c d))) (sqrt.f64 (+.f64 b (+.f64 c d))) a)
(fma.f64 (sqrt.f64 d) (sqrt.f64 d) (+.f64 a (+.f64 b c)))
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (+.f64 b (+.f64 c d)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 a (+.f64 b c)))) 1)
(-.f64 (/.f64 (*.f64 b b) (-.f64 b (+.f64 a c))) (/.f64 (pow.f64 (+.f64 a c) 2) (-.f64 b (+.f64 a c))))
(*.f64 (+.f64 a (+.f64 b c)) 1)
(*.f64 1 (+.f64 a (+.f64 b c)))
(*.f64 (cbrt.f64 (+.f64 a (+.f64 b c))) (pow.f64 (cbrt.f64 (+.f64 a (+.f64 b c))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 a (+.f64 b c))) 2) (cbrt.f64 (+.f64 a (+.f64 b c))))
(*.f64 (sqrt.f64 (+.f64 a (+.f64 b c))) (sqrt.f64 (+.f64 a (+.f64 b c))))
(.f64 (+.f64 (pow.f64 (+.f64 a c) 3) (pow.f64 b 3)) (/.f64 1 (fma.f64 b b (.f64 (+.f64 a c) (-.f64 (+.f64 a c) b)))))
(.f64 (-.f64 (.f64 b b) (pow.f64 (+.f64 a c) 2)) (/.f64 1 (-.f64 b (+.f64 a c))))
(/.f64 1 (/.f64 (fma.f64 b b (*.f64 (+.f64 a c) (-.f64 (+.f64 a c) b))) (+.f64 (pow.f64 (+.f64 a c) 3) (pow.f64 b 3))))
(/.f64 1 (/.f64 (-.f64 b (+.f64 a c)) (-.f64 (*.f64 b b) (pow.f64 (+.f64 a c) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 a c) 3) (pow.f64 b 3)) (fma.f64 b b (*.f64 (+.f64 a c) (-.f64 (+.f64 a c) b))))
(/.f64 (+.f64 (pow.f64 (+.f64 a c) 3) (pow.f64 b 3)) (+.f64 (pow.f64 (+.f64 a c) 2) (-.f64 (.f64 b b) (.f64 b (+.f64 a c)))))
(/.f64 (-.f64 (*.f64 b b) (pow.f64 (+.f64 a c) 2)) (-.f64 b (+.f64 a c)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 a c) 3) (pow.f64 b 3))) (neg.f64 (fma.f64 b b (*.f64 (+.f64 a c) (-.f64 (+.f64 a c) b)))))
(/.f64 (neg.f64 (-.f64 (*.f64 b b) (pow.f64 (+.f64 a c) 2))) (neg.f64 (-.f64 b (+.f64 a c))))
(/.f64 (+.f64 (pow.f64 (+.f64 a b) 3) (pow.f64 c 3)) (+.f64 (.f64 (+.f64 a b) (+.f64 a b)) (-.f64 (.f64 c c) (*.f64 (+.f64 a b) c))))
(/.f64 (-.f64 (pow.f64 (+.f64 a c) 2) (*.f64 b b)) (-.f64 (+.f64 a c) b))
(/.f64 (-.f64 (.f64 (+.f64 a b) (+.f64 a b)) (.f64 c c)) (-.f64 (+.f64 a b) c))
(pow.f64 (+.f64 a (+.f64 b c)) 1)
(pow.f64 (cbrt.f64 (+.f64 a (+.f64 b c))) 3)
(pow.f64 (pow.f64 (+.f64 a (+.f64 b c)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 a (+.f64 b c))) 2)
(sqrt.f64 (pow.f64 (+.f64 a (+.f64 b c)) 2))
(log.f64 (exp.f64 (+.f64 a (+.f64 b c))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 a (+.f64 b c)))))
(log.f64 (*.f64 (exp.f64 a) (exp.f64 (+.f64 b c))))
(log.f64 (.f64 (exp.f64 a) (.f64 (exp.f64 b) (exp.f64 c))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 a)) (exp.f64 (+.f64 b c))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 a)) (.f64 (exp.f64 b) (exp.f64 c))))
(log.f64 (*.f64 (exp.f64 b) (+.f64 1 (expm1.f64 (+.f64 a c)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 b)) (exp.f64 (+.f64 a c))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 b)) (+.f64 1 (expm1.f64 (+.f64 a c)))))
(log.f64 (*.f64 (exp.f64 c) (exp.f64 (+.f64 a b))))
(log.f64 (.f64 (exp.f64 c) (.f64 (exp.f64 a) (exp.f64 b))))
(log.f64 (.f64 (exp.f64 c) (.f64 (exp.f64 b) (exp.f64 a))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 c)) (exp.f64 (+.f64 a b))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 c)) (.f64 (exp.f64 a) (exp.f64 b))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 c)) (.f64 (exp.f64 b) (exp.f64 a))))
(log.f64 (*.f64 (exp.f64 (+.f64 a c)) (+.f64 1 (expm1.f64 b))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 a c))) (exp.f64 b)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 a c))) (+.f64 1 (expm1.f64 b))))
(log.f64 (*.f64 (exp.f64 (+.f64 a b)) (+.f64 1 (expm1.f64 c))))
(log.f64 (.f64 (.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 c)))
(log.f64 (.f64 (.f64 (exp.f64 a) (exp.f64 b)) (+.f64 1 (expm1.f64 c))))
(log.f64 (.f64 (.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 c)))
(log.f64 (.f64 (.f64 (exp.f64 b) (exp.f64 a)) (+.f64 1 (expm1.f64 c))))
(log.f64 (*.f64 (exp.f64 (+.f64 b c)) (exp.f64 a)))
(log.f64 (*.f64 (exp.f64 (+.f64 b c)) (+.f64 1 (expm1.f64 a))))
(log.f64 (.f64 (.f64 (exp.f64 b) (exp.f64 c)) (exp.f64 a)))
(log.f64 (.f64 (.f64 (exp.f64 b) (exp.f64 c)) (+.f64 1 (expm1.f64 a))))
(cbrt.f64 (pow.f64 (+.f64 a (+.f64 b c)) 3))
(expm1.f64 (log1p.f64 (+.f64 a (+.f64 b c))))
(exp.f64 (log.f64 (+.f64 a (+.f64 b c))))
(exp.f64 (*.f64 (log.f64 (+.f64 a (+.f64 b c))) 1))
(log1p.f64 (expm1.f64 (+.f64 a (+.f64 b c))))
(fma.f64 1 b (+.f64 a c))
(fma.f64 1 (+.f64 a c) b)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 a c)) 2) (cbrt.f64 (+.f64 a c)) b)
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (+.f64 a c))
(fma.f64 (sqrt.f64 (+.f64 a c)) (sqrt.f64 (+.f64 a c)) b)
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) (+.f64 a c))

simplify515.0ms (7.2%)

Algorithm

1×	egg-herbie

Rules

1220×	`unswap-sqr`
756×	`fma-neg`
694×	`log-prod`
632×	`distribute-rgt-in`
624×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	505	9817
1	1391	9625
2	4813	9565

Stop Event

1×	node limit

Counts

397 → 277

Calls

Call 1

Inputs
(+.f64 b (+.f64 c d))
a
a
(+.f64 a (+.f64 c d))
b
b
(+.f64 a (+.f64 b d))
c
c
(+.f64 a (+.f64 b c))
d
d
(+.f64 c d)
b
b
(+.f64 b d)
c
c
(+.f64 b c)
d
d
(+.f64 a (+.f64 b c))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 b (+.f64 c d)))
d
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 b (+.f64 c d)))
d
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 c d))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 b (+.f64 c d)))
b
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 b (+.f64 c d)))
b
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 b (+.f64 c d))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 b (+.f64 c d)))
a
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 b (+.f64 c d)))
a
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 b d))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 b (+.f64 c d)))
c
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 b (+.f64 c d)))
c
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a c)
(+.f64 a (+.f64 b c))
(+.f64 a (+.f64 b c))
(+.f64 a (+.f64 b c))
b
(+.f64 a (+.f64 b c))
(+.f64 a (+.f64 b c))
(+.f64 a (+.f64 b c))
b
(+.f64 a (+.f64 b c))
(+.f64 a (+.f64 b c))
(+.f64 a (+.f64 b c))
(+.f64 b c)
(+.f64 a (+.f64 b c))
(+.f64 a (+.f64 b c))
(+.f64 a (+.f64 b c))
a
(+.f64 a (+.f64 b c))
(+.f64 a (+.f64 b c))
(+.f64 a (+.f64 b c))
a
(+.f64 a (+.f64 b c))
(+.f64 a (+.f64 b c))
(+.f64 a (+.f64 b c))
(+.f64 a b)
(+.f64 a (+.f64 b c))
(+.f64 a (+.f64 b c))
(+.f64 a (+.f64 b c))
c
(+.f64 a (+.f64 b c))
(+.f64 a (+.f64 b c))
(+.f64 a (+.f64 b c))
c
(+.f64 a (+.f64 b c))
(+.f64 a (+.f64 b c))
(+.f64 a (+.f64 b c))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (+.f64 c d) (+.f64 a b)))) 1)
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(-.f64 (/.f64 (*.f64 d d) (-.f64 (-.f64 d (+.f64 a c)) b)) (/.f64 (pow.f64 (+.f64 a (+.f64 b c)) 2) (-.f64 (-.f64 d (+.f64 a c)) b)))
(*.f64 (+.f64 (+.f64 c d) (+.f64 a b)) 1)
(*.f64 1 (+.f64 (+.f64 c d) (+.f64 a b)))
(*.f64 (cbrt.f64 (+.f64 (+.f64 c d) (+.f64 a b))) (pow.f64 (cbrt.f64 (+.f64 (+.f64 c d) (+.f64 a b))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 c d) (+.f64 a b))) 2) (cbrt.f64 (+.f64 (+.f64 c d) (+.f64 a b))))
(*.f64 (sqrt.f64 (+.f64 (+.f64 c d) (+.f64 a b))) (sqrt.f64 (+.f64 (+.f64 c d) (+.f64 a b))))
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(.f64 (+.f64 (pow.f64 (+.f64 a (+.f64 b c)) 3) (pow.f64 d 3)) (/.f64 1 (fma.f64 d d (.f64 (+.f64 a (+.f64 b c)) (-.f64 (+.f64 a (+.f64 b c)) d)))))
(.f64 (-.f64 (.f64 a a) (pow.f64 (+.f64 b (+.f64 c d)) 2)) (/.f64 1 (-.f64 a (+.f64 b (+.f64 c d)))))
(.f64 (-.f64 (.f64 d d) (pow.f64 (+.f64 a (+.f64 b c)) 2)) (/.f64 1 (-.f64 (-.f64 d (+.f64 a c)) b)))
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(/.f64 (+.f64 (pow.f64 (+.f64 b (+.f64 c d)) 3) (pow.f64 a 3)) (+.f64 (pow.f64 (+.f64 b (+.f64 c d)) 2) (-.f64 (.f64 a a) (.f64 a (+.f64 b (+.f64 c d))))))
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(log.f64 (*.f64 (+.f64 1 (expm1.f64 d)) (exp.f64 (+.f64 a (+.f64 b c)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 d)) (+.f64 1 (expm1.f64 (+.f64 a (+.f64 b c))))))
(log.f64 (*.f64 (exp.f64 (+.f64 c d)) (exp.f64 (+.f64 a b))))
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(log.f64 (*.f64 (exp.f64 (+.f64 a (+.f64 b c))) (+.f64 1 (expm1.f64 d))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 a (+.f64 b c)))) (exp.f64 d)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 a (+.f64 b c)))) (+.f64 1 (expm1.f64 d))))
(log.f64 (*.f64 (exp.f64 (+.f64 a b)) (+.f64 1 (expm1.f64 (+.f64 c d)))))
(log.f64 (.f64 (.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (+.f64 c d))))
(log.f64 (.f64 (.f64 (exp.f64 a) (exp.f64 b)) (+.f64 1 (expm1.f64 (+.f64 c d)))))
(log.f64 (.f64 (.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 (+.f64 c d))))
(log.f64 (.f64 (.f64 (exp.f64 b) (exp.f64 a)) (+.f64 1 (expm1.f64 (+.f64 c d)))))
(log.f64 (*.f64 (exp.f64 (+.f64 b d)) (+.f64 1 (expm1.f64 (+.f64 a c)))))
(log.f64 (.f64 (.f64 (exp.f64 d) (exp.f64 b)) (exp.f64 (+.f64 a c))))
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(cbrt.f64 (pow.f64 (+.f64 (+.f64 c d) (+.f64 a b)) 3))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 c d) (+.f64 a b))))
(exp.f64 (log.f64 (+.f64 (+.f64 c d) (+.f64 a b))))
(exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 c d) (+.f64 a b))) 1))
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(.f64 (+.f64 (pow.f64 (+.f64 b (+.f64 c d)) 3) (pow.f64 a 3)) (/.f64 1 (fma.f64 a a (.f64 (+.f64 b (+.f64 c d)) (-.f64 (+.f64 b (+.f64 c d)) a)))))
(.f64 (+.f64 (pow.f64 (+.f64 a (+.f64 b c)) 3) (pow.f64 d 3)) (/.f64 1 (fma.f64 d d (.f64 (+.f64 a (+.f64 b c)) (-.f64 (+.f64 a (+.f64 b c)) d)))))
(.f64 (-.f64 (.f64 a a) (pow.f64 (+.f64 b (+.f64 c d)) 2)) (/.f64 1 (-.f64 a (+.f64 b (+.f64 c d)))))
(.f64 (-.f64 (.f64 d d) (pow.f64 (+.f64 a (+.f64 b c)) 2)) (/.f64 1 (-.f64 (-.f64 d (+.f64 a c)) b)))
(/.f64 1 (/.f64 (fma.f64 a a (*.f64 (+.f64 b (+.f64 c d)) (-.f64 (+.f64 b (+.f64 c d)) a))) (+.f64 (pow.f64 (+.f64 b (+.f64 c d)) 3) (pow.f64 a 3))))
(/.f64 1 (/.f64 (-.f64 a (+.f64 b (+.f64 c d))) (-.f64 (*.f64 a a) (pow.f64 (+.f64 b (+.f64 c d)) 2))))
(/.f64 1 (/.f64 (fma.f64 d d (*.f64 (+.f64 a (+.f64 b c)) (-.f64 (+.f64 a (+.f64 b c)) d))) (+.f64 (pow.f64 (+.f64 a (+.f64 b c)) 3) (pow.f64 d 3))))
(/.f64 1 (/.f64 (-.f64 (-.f64 d (+.f64 a c)) b) (-.f64 (*.f64 d d) (pow.f64 (+.f64 a (+.f64 b c)) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 b (+.f64 c d)) 3) (pow.f64 a 3)) (fma.f64 a a (*.f64 (+.f64 b (+.f64 c d)) (-.f64 (+.f64 b (+.f64 c d)) a))))
(/.f64 (+.f64 (pow.f64 (+.f64 b (+.f64 c d)) 3) (pow.f64 a 3)) (+.f64 (pow.f64 (+.f64 b (+.f64 c d)) 2) (-.f64 (.f64 a a) (.f64 a (+.f64 b (+.f64 c d))))))
(/.f64 (+.f64 (pow.f64 (+.f64 a (+.f64 b c)) 3) (pow.f64 d 3)) (fma.f64 d d (*.f64 (+.f64 a (+.f64 b c)) (-.f64 (+.f64 a (+.f64 b c)) d))))
(/.f64 (+.f64 (pow.f64 (+.f64 a (+.f64 b c)) 3) (pow.f64 d 3)) (+.f64 (pow.f64 (+.f64 a (+.f64 b c)) 2) (-.f64 (.f64 d d) (.f64 d (+.f64 a (+.f64 b c))))))
(/.f64 (-.f64 (*.f64 a a) (pow.f64 (+.f64 b (+.f64 c d)) 2)) (-.f64 a (+.f64 b (+.f64 c d))))
(/.f64 (-.f64 (*.f64 d d) (pow.f64 (+.f64 a (+.f64 b c)) 2)) (-.f64 (-.f64 d (+.f64 a c)) b))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 b (+.f64 c d)) 3) (pow.f64 a 3))) (neg.f64 (fma.f64 a a (*.f64 (+.f64 b (+.f64 c d)) (-.f64 (+.f64 b (+.f64 c d)) a)))))
(/.f64 (neg.f64 (-.f64 (*.f64 a a) (pow.f64 (+.f64 b (+.f64 c d)) 2))) (neg.f64 (-.f64 a (+.f64 b (+.f64 c d)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 a (+.f64 b c)) 3) (pow.f64 d 3))) (neg.f64 (fma.f64 d d (*.f64 (+.f64 a (+.f64 b c)) (-.f64 (+.f64 a (+.f64 b c)) d)))))
(/.f64 (neg.f64 (-.f64 (*.f64 d d) (pow.f64 (+.f64 a (+.f64 b c)) 2))) (neg.f64 (-.f64 (-.f64 d (+.f64 a c)) b)))
(/.f64 (+.f64 (pow.f64 (+.f64 b d) 3) (pow.f64 (+.f64 a c) 3)) (+.f64 (.f64 (+.f64 b d) (+.f64 b d)) (-.f64 (pow.f64 (+.f64 a c) 2) (.f64 (+.f64 b d) (+.f64 a c)))))
(/.f64 (+.f64 (pow.f64 (+.f64 a b) 3) (pow.f64 (+.f64 c d) 3)) (+.f64 (.f64 (+.f64 a b) (+.f64 a b)) (-.f64 (pow.f64 (+.f64 c d) 2) (.f64 (+.f64 a b) (+.f64 c d)))))
(/.f64 (-.f64 (pow.f64 (+.f64 a (+.f64 b c)) 2) (*.f64 d d)) (-.f64 (+.f64 a (+.f64 b c)) d))
(/.f64 (fma.f64 (+.f64 b d) (+.f64 b d) (neg.f64 (pow.f64 (+.f64 a c) 2))) (-.f64 (+.f64 b d) (+.f64 a c)))
(/.f64 (-.f64 (pow.f64 (+.f64 b (+.f64 c d)) 2) (*.f64 a a)) (-.f64 (+.f64 b (+.f64 c d)) a))
(/.f64 (-.f64 (*.f64 (+.f64 a b) (+.f64 a b)) (pow.f64 (+.f64 c d) 2)) (-.f64 (+.f64 a b) (+.f64 c d)))
(pow.f64 (+.f64 (+.f64 c d) (+.f64 a b)) 1)
(pow.f64 (cbrt.f64 (+.f64 (+.f64 c d) (+.f64 a b))) 3)
(pow.f64 (pow.f64 (+.f64 (+.f64 c d) (+.f64 a b)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (+.f64 c d) (+.f64 a b))) 2)
(sqrt.f64 (pow.f64 (+.f64 (+.f64 c d) (+.f64 a b)) 2))
(log.f64 (exp.f64 (+.f64 (+.f64 c d) (+.f64 a b))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (+.f64 c d) (+.f64 a b)))))
(log.f64 (*.f64 (exp.f64 a) (+.f64 1 (expm1.f64 (+.f64 b (+.f64 c d))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 a)) (exp.f64 (+.f64 b (+.f64 c d)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 a)) (+.f64 1 (expm1.f64 (+.f64 b (+.f64 c d))))))
(log.f64 (*.f64 (exp.f64 d) (+.f64 1 (expm1.f64 (+.f64 a (+.f64 b c))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 d)) (exp.f64 (+.f64 a (+.f64 b c)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 d)) (+.f64 1 (expm1.f64 (+.f64 a (+.f64 b c))))))
(log.f64 (*.f64 (exp.f64 (+.f64 c d)) (exp.f64 (+.f64 a b))))
(log.f64 (.f64 (exp.f64 (+.f64 c d)) (.f64 (exp.f64 a) (exp.f64 b))))
(log.f64 (.f64 (exp.f64 (+.f64 c d)) (.f64 (exp.f64 b) (exp.f64 a))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 c d))) (exp.f64 (+.f64 a b))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (+.f64 c d))) (.f64 (exp.f64 a) (exp.f64 b))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (+.f64 c d))) (.f64 (exp.f64 b) (exp.f64 a))))
(log.f64 (*.f64 (exp.f64 (+.f64 b (+.f64 c d))) (+.f64 1 (expm1.f64 a))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 b (+.f64 c d)))) (exp.f64 a)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 b (+.f64 c d)))) (+.f64 1 (expm1.f64 a))))
(log.f64 (*.f64 (exp.f64 (+.f64 a c)) (exp.f64 (+.f64 b d))))
(log.f64 (.f64 (exp.f64 (+.f64 a c)) (.f64 (exp.f64 d) (exp.f64 b))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 a c))) (exp.f64 (+.f64 b d))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (+.f64 a c))) (.f64 (exp.f64 d) (exp.f64 b))))
(log.f64 (*.f64 (exp.f64 (+.f64 a (+.f64 b c))) (+.f64 1 (expm1.f64 d))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 a (+.f64 b c)))) (exp.f64 d)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 a (+.f64 b c)))) (+.f64 1 (expm1.f64 d))))
(log.f64 (*.f64 (exp.f64 (+.f64 a b)) (+.f64 1 (expm1.f64 (+.f64 c d)))))
(log.f64 (.f64 (.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (+.f64 c d))))
(log.f64 (.f64 (.f64 (exp.f64 a) (exp.f64 b)) (+.f64 1 (expm1.f64 (+.f64 c d)))))
(log.f64 (.f64 (.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 (+.f64 c d))))
(log.f64 (.f64 (.f64 (exp.f64 b) (exp.f64 a)) (+.f64 1 (expm1.f64 (+.f64 c d)))))
(log.f64 (*.f64 (exp.f64 (+.f64 b d)) (+.f64 1 (expm1.f64 (+.f64 a c)))))
(log.f64 (.f64 (.f64 (exp.f64 d) (exp.f64 b)) (exp.f64 (+.f64 a c))))
(log.f64 (.f64 (.f64 (exp.f64 d) (exp.f64 b)) (+.f64 1 (expm1.f64 (+.f64 a c)))))
(cbrt.f64 (pow.f64 (+.f64 (+.f64 c d) (+.f64 a b)) 3))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 c d) (+.f64 a b))))
(exp.f64 (log.f64 (+.f64 (+.f64 c d) (+.f64 a b))))
(exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 c d) (+.f64 a b))) 1))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 c d) (+.f64 a b))))
(fma.f64 1 a (+.f64 b (+.f64 c d)))
(fma.f64 1 d (+.f64 a (+.f64 b c)))
(fma.f64 1 (+.f64 b (+.f64 c d)) a)
(fma.f64 1 (+.f64 a (+.f64 b c)) d)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 a (+.f64 b c))) 2) (cbrt.f64 (+.f64 a (+.f64 b c))) d)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 b (+.f64 c d))) 2) (cbrt.f64 (+.f64 b (+.f64 c d))) a)
(fma.f64 (pow.f64 (cbrt.f64 d) 2) (cbrt.f64 d) (+.f64 a (+.f64 b c)))
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (+.f64 b (+.f64 c d)))
(fma.f64 (sqrt.f64 (+.f64 a (+.f64 b c))) (sqrt.f64 (+.f64 a (+.f64 b c))) d)
(fma.f64 (sqrt.f64 (+.f64 b (+.f64 c d))) (sqrt.f64 (+.f64 b (+.f64 c d))) a)
(fma.f64 (sqrt.f64 d) (sqrt.f64 d) (+.f64 a (+.f64 b c)))
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (+.f64 b (+.f64 c d)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 a (+.f64 b c)))) 1)
(-.f64 (/.f64 (*.f64 b b) (-.f64 b (+.f64 a c))) (/.f64 (pow.f64 (+.f64 a c) 2) (-.f64 b (+.f64 a c))))
(*.f64 (+.f64 a (+.f64 b c)) 1)
(*.f64 1 (+.f64 a (+.f64 b c)))
(*.f64 (cbrt.f64 (+.f64 a (+.f64 b c))) (pow.f64 (cbrt.f64 (+.f64 a (+.f64 b c))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 a (+.f64 b c))) 2) (cbrt.f64 (+.f64 a (+.f64 b c))))
(*.f64 (sqrt.f64 (+.f64 a (+.f64 b c))) (sqrt.f64 (+.f64 a (+.f64 b c))))
(.f64 (+.f64 (pow.f64 (+.f64 a c) 3) (pow.f64 b 3)) (/.f64 1 (fma.f64 b b (.f64 (+.f64 a c) (-.f64 (+.f64 a c) b)))))
(.f64 (-.f64 (.f64 b b) (pow.f64 (+.f64 a c) 2)) (/.f64 1 (-.f64 b (+.f64 a c))))
(/.f64 1 (/.f64 (fma.f64 b b (*.f64 (+.f64 a c) (-.f64 (+.f64 a c) b))) (+.f64 (pow.f64 (+.f64 a c) 3) (pow.f64 b 3))))
(/.f64 1 (/.f64 (-.f64 b (+.f64 a c)) (-.f64 (*.f64 b b) (pow.f64 (+.f64 a c) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 a c) 3) (pow.f64 b 3)) (fma.f64 b b (*.f64 (+.f64 a c) (-.f64 (+.f64 a c) b))))
(/.f64 (+.f64 (pow.f64 (+.f64 a c) 3) (pow.f64 b 3)) (+.f64 (pow.f64 (+.f64 a c) 2) (-.f64 (.f64 b b) (.f64 b (+.f64 a c)))))
(/.f64 (-.f64 (*.f64 b b) (pow.f64 (+.f64 a c) 2)) (-.f64 b (+.f64 a c)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 a c) 3) (pow.f64 b 3))) (neg.f64 (fma.f64 b b (*.f64 (+.f64 a c) (-.f64 (+.f64 a c) b)))))
(/.f64 (neg.f64 (-.f64 (*.f64 b b) (pow.f64 (+.f64 a c) 2))) (neg.f64 (-.f64 b (+.f64 a c))))
(/.f64 (+.f64 (pow.f64 (+.f64 a b) 3) (pow.f64 c 3)) (+.f64 (.f64 (+.f64 a b) (+.f64 a b)) (-.f64 (.f64 c c) (*.f64 (+.f64 a b) c))))
(/.f64 (-.f64 (pow.f64 (+.f64 a c) 2) (*.f64 b b)) (-.f64 (+.f64 a c) b))
(/.f64 (-.f64 (.f64 (+.f64 a b) (+.f64 a b)) (.f64 c c)) (-.f64 (+.f64 a b) c))
(pow.f64 (+.f64 a (+.f64 b c)) 1)
(pow.f64 (cbrt.f64 (+.f64 a (+.f64 b c))) 3)
(pow.f64 (pow.f64 (+.f64 a (+.f64 b c)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 a (+.f64 b c))) 2)
(sqrt.f64 (pow.f64 (+.f64 a (+.f64 b c)) 2))
(log.f64 (exp.f64 (+.f64 a (+.f64 b c))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 a (+.f64 b c)))))
(log.f64 (*.f64 (exp.f64 a) (exp.f64 (+.f64 b c))))
(log.f64 (.f64 (exp.f64 a) (.f64 (exp.f64 b) (exp.f64 c))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 a)) (exp.f64 (+.f64 b c))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 a)) (.f64 (exp.f64 b) (exp.f64 c))))
(log.f64 (*.f64 (exp.f64 b) (+.f64 1 (expm1.f64 (+.f64 a c)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 b)) (exp.f64 (+.f64 a c))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 b)) (+.f64 1 (expm1.f64 (+.f64 a c)))))
(log.f64 (*.f64 (exp.f64 c) (exp.f64 (+.f64 a b))))
(log.f64 (.f64 (exp.f64 c) (.f64 (exp.f64 a) (exp.f64 b))))
(log.f64 (.f64 (exp.f64 c) (.f64 (exp.f64 b) (exp.f64 a))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 c)) (exp.f64 (+.f64 a b))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 c)) (.f64 (exp.f64 a) (exp.f64 b))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 c)) (.f64 (exp.f64 b) (exp.f64 a))))
(log.f64 (*.f64 (exp.f64 (+.f64 a c)) (+.f64 1 (expm1.f64 b))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 a c))) (exp.f64 b)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 a c))) (+.f64 1 (expm1.f64 b))))
(log.f64 (*.f64 (exp.f64 (+.f64 a b)) (+.f64 1 (expm1.f64 c))))
(log.f64 (.f64 (.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 c)))
(log.f64 (.f64 (.f64 (exp.f64 a) (exp.f64 b)) (+.f64 1 (expm1.f64 c))))
(log.f64 (.f64 (.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 c)))
(log.f64 (.f64 (.f64 (exp.f64 b) (exp.f64 a)) (+.f64 1 (expm1.f64 c))))
(log.f64 (*.f64 (exp.f64 (+.f64 b c)) (exp.f64 a)))
(log.f64 (*.f64 (exp.f64 (+.f64 b c)) (+.f64 1 (expm1.f64 a))))
(log.f64 (.f64 (.f64 (exp.f64 b) (exp.f64 c)) (exp.f64 a)))
(log.f64 (.f64 (.f64 (exp.f64 b) (exp.f64 c)) (+.f64 1 (expm1.f64 a))))
(cbrt.f64 (pow.f64 (+.f64 a (+.f64 b c)) 3))
(expm1.f64 (log1p.f64 (+.f64 a (+.f64 b c))))
(exp.f64 (log.f64 (+.f64 a (+.f64 b c))))
(exp.f64 (*.f64 (log.f64 (+.f64 a (+.f64 b c))) 1))
(log1p.f64 (expm1.f64 (+.f64 a (+.f64 b c))))
(fma.f64 1 b (+.f64 a c))
(fma.f64 1 (+.f64 a c) b)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 a c)) 2) (cbrt.f64 (+.f64 a c)) b)
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (+.f64 a c))
(fma.f64 (sqrt.f64 (+.f64 a c)) (sqrt.f64 (+.f64 a c)) b)
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) (+.f64 a c))

Outputs
(+.f64 b (+.f64 c d))
a
a
(+.f64 a (+.f64 c d))
(+.f64 (+.f64 c d) a)
(+.f64 c (+.f64 a d))
b
b
(+.f64 a (+.f64 b d))
(+.f64 b (+.f64 a d))
c
c
(+.f64 a (+.f64 b c))
(+.f64 b (+.f64 c a))
d
d
(+.f64 c d)
b
b
(+.f64 b d)
c
c
(+.f64 b c)
d
d
(+.f64 a (+.f64 b c))
(+.f64 b (+.f64 c a))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 c (+.f64 d (+.f64 b a)))
(+.f64 c (+.f64 b (+.f64 a d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 c (+.f64 d (+.f64 b a)))
(+.f64 c (+.f64 b (+.f64 a d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 c (+.f64 d (+.f64 b a)))
(+.f64 c (+.f64 b (+.f64 a d)))
d
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 c (+.f64 d (+.f64 b a)))
(+.f64 c (+.f64 b (+.f64 a d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 c (+.f64 d (+.f64 b a)))
(+.f64 c (+.f64 b (+.f64 a d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 c (+.f64 d (+.f64 b a)))
(+.f64 c (+.f64 b (+.f64 a d)))
d
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 c (+.f64 d (+.f64 b a)))
(+.f64 c (+.f64 b (+.f64 a d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 c (+.f64 d (+.f64 b a)))
(+.f64 c (+.f64 b (+.f64 a d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 c (+.f64 d (+.f64 b a)))
(+.f64 c (+.f64 b (+.f64 a d)))
(+.f64 a (+.f64 c d))
(+.f64 (+.f64 c d) a)
(+.f64 c (+.f64 a d))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 c (+.f64 d (+.f64 b a)))
(+.f64 c (+.f64 b (+.f64 a d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 c (+.f64 d (+.f64 b a)))
(+.f64 c (+.f64 b (+.f64 a d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 c (+.f64 d (+.f64 b a)))
(+.f64 c (+.f64 b (+.f64 a d)))
b
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 c (+.f64 d (+.f64 b a)))
(+.f64 c (+.f64 b (+.f64 a d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 c (+.f64 d (+.f64 b a)))
(+.f64 c (+.f64 b (+.f64 a d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 c (+.f64 d (+.f64 b a)))
(+.f64 c (+.f64 b (+.f64 a d)))
b
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 c (+.f64 d (+.f64 b a)))
(+.f64 c (+.f64 b (+.f64 a d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 c (+.f64 d (+.f64 b a)))
(+.f64 c (+.f64 b (+.f64 a d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 c (+.f64 d (+.f64 b a)))
(+.f64 c (+.f64 b (+.f64 a d)))
(+.f64 b (+.f64 c d))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 c (+.f64 d (+.f64 b a)))
(+.f64 c (+.f64 b (+.f64 a d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 c (+.f64 d (+.f64 b a)))
(+.f64 c (+.f64 b (+.f64 a d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 c (+.f64 d (+.f64 b a)))
(+.f64 c (+.f64 b (+.f64 a d)))
a
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 c (+.f64 d (+.f64 b a)))
(+.f64 c (+.f64 b (+.f64 a d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 c (+.f64 d (+.f64 b a)))
(+.f64 c (+.f64 b (+.f64 a d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 c (+.f64 d (+.f64 b a)))
(+.f64 c (+.f64 b (+.f64 a d)))
a
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 c (+.f64 d (+.f64 b a)))
(+.f64 c (+.f64 b (+.f64 a d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 c (+.f64 d (+.f64 b a)))
(+.f64 c (+.f64 b (+.f64 a d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 c (+.f64 d (+.f64 b a)))
(+.f64 c (+.f64 b (+.f64 a d)))
(+.f64 a (+.f64 b d))
(+.f64 b (+.f64 a d))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 c (+.f64 d (+.f64 b a)))
(+.f64 c (+.f64 b (+.f64 a d)))
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c
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(+.f64 c (+.f64 b (+.f64 a d)))
c
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(+.f64 b (+.f64 c a))
b
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(+.f64 b (+.f64 c a))
(+.f64 a (+.f64 b c))
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b
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(+.f64 b (+.f64 c a))
(+.f64 a (+.f64 b c))
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a
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a
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c
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(+.f64 b (+.f64 c a))
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c
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(+.f64 a (+.f64 b c))
(+.f64 b (+.f64 c a))
(expm1.f64 (log1p.f64 (+.f64 a (+.f64 b c))))
(+.f64 a (+.f64 b c))
(+.f64 b (+.f64 c a))
(exp.f64 (log.f64 (+.f64 a (+.f64 b c))))
(+.f64 a (+.f64 b c))
(+.f64 b (+.f64 c a))
(exp.f64 (*.f64 (log.f64 (+.f64 a (+.f64 b c))) 1))
(+.f64 a (+.f64 b c))
(+.f64 b (+.f64 c a))
(log1p.f64 (expm1.f64 (+.f64 a (+.f64 b c))))
(+.f64 a (+.f64 b c))
(+.f64 b (+.f64 c a))
(fma.f64 1 b (+.f64 a c))
(+.f64 a (+.f64 b c))
(+.f64 b (+.f64 c a))
(fma.f64 1 (+.f64 a c) b)
(+.f64 a (+.f64 b c))
(+.f64 b (+.f64 c a))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 a c)) 2) (cbrt.f64 (+.f64 a c)) b)
(+.f64 a (+.f64 b c))
(+.f64 b (+.f64 c a))
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (+.f64 a c))
(+.f64 a (+.f64 b c))
(+.f64 b (+.f64 c a))
(fma.f64 (sqrt.f64 (+.f64 a c)) (sqrt.f64 (+.f64 a c)) b)
(+.f64 a (+.f64 b c))
(+.f64 b (+.f64 c a))
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) (+.f64 a c))
(+.f64 a (+.f64 b c))
(+.f64 b (+.f64 c a))

eval129.0ms (1.8%)

Compiler: Compiled 4817 to 1944 computations (59.6% saved)

prune90.0ms (1.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	268	9	277
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	270	9	279

Accuracy

100.0%

Counts

279 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	93.3%	(*.f64 (fma.f64 (sqrt.f64 (+.f64 b (+.f64 c d))) (sqrt.f64 (+.f64 b (+.f64 c d))) a) 2)
	93.7%	(.f64 (/.f64 (-.f64 (pow.f64 (+.f64 b (+.f64 c d)) 2) (.f64 a a)) (-.f64 (+.f64 b (+.f64 c d)) a)) 2)
	93.9%	(.f64 (/.f64 (+.f64 (pow.f64 (+.f64 b (+.f64 c d)) 3) (pow.f64 a 3)) (fma.f64 a a (.f64 (+.f64 b (+.f64 c d)) (-.f64 (+.f64 b (+.f64 c d)) a)))) 2)
▶	11.4%	(*.f64 (+.f64 (+.f64 c d) a) 2)
	11.4%	(*.f64 (+.f64 d (+.f64 c a)) 2)
▶	100.0%	(*.f64 (+.f64 c (+.f64 b (+.f64 a d))) 2)
▶	11.4%	(*.f64 (+.f64 c (+.f64 a d)) 2)
	11.3%	(*.f64 c 2)
▶	6.6%	(*.f64 b 2)
▶	93.3%	(*.f64 (fma.f64 (sqrt.f64 (+.f64 b (+.f64 c d))) (sqrt.f64 (+.f64 b (+.f64 c d))) a) 2)
	93.7%	(.f64 (/.f64 (-.f64 (pow.f64 (+.f64 b (+.f64 c d)) 2) (.f64 a a)) (-.f64 (+.f64 b (+.f64 c d)) a)) 2)
	93.9%	(.f64 (/.f64 (+.f64 (pow.f64 (+.f64 b (+.f64 c d)) 3) (pow.f64 a 3)) (fma.f64 a a (.f64 (+.f64 b (+.f64 c d)) (-.f64 (+.f64 b (+.f64 c d)) a)))) 2)
▶	11.4%	(*.f64 (+.f64 (+.f64 c d) a) 2)
	11.4%	(*.f64 (+.f64 d (+.f64 c a)) 2)
▶	100.0%	(*.f64 (+.f64 c (+.f64 b (+.f64 a d))) 2)
▶	11.4%	(*.f64 (+.f64 c (+.f64 a d)) 2)
	11.3%	(*.f64 c 2)
▶	6.6%	(*.f64 b 2)

Compiler

Compiled 556 to 344 computations (38.1% saved)

localize153.0ms (2.1%)

Localize:

Found 5 expressions with local error:

New	Accuracy	Program
✓	99.8%	(sqrt.f64 (+.f64 b (+.f64 c d)))
	99.3%	(+.f64 b (+.f64 c d))
✓	94.1%	(fma.f64 (sqrt.f64 (+.f64 b (+.f64 c d))) (sqrt.f64 (+.f64 b (+.f64 c d))) a)
✓	97.9%	(+.f64 (+.f64 c d) a)
✓	100.0%	(+.f64 c (+.f64 b (+.f64 a d)))

Compiler

Compiled 126 to 29 computations (77% saved)

series59.0ms (0.8%)

Counts

4 → 120

Calls

42 calls:

Time	Variable		Point	Expression
10.0ms	c	@	0	(fma.f64 (sqrt.f64 (+.f64 b (+.f64 c d))) (sqrt.f64 (+.f64 b (+.f64 c d))) a)
8.0ms	b	@	0	(fma.f64 (sqrt.f64 (+.f64 b (+.f64 c d))) (sqrt.f64 (+.f64 b (+.f64 c d))) a)
7.0ms	d	@	0	(fma.f64 (sqrt.f64 (+.f64 b (+.f64 c d))) (sqrt.f64 (+.f64 b (+.f64 c d))) a)
4.0ms	a	@	0	(fma.f64 (sqrt.f64 (+.f64 b (+.f64 c d))) (sqrt.f64 (+.f64 b (+.f64 c d))) a)
3.0ms	d	@	inf	(sqrt.f64 (+.f64 b (+.f64 c d)))

rewrite112.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1230×	`fma-neg`
690×	`expm1-udef`
690×	`log1p-udef`
470×	`hypot-def`
412×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	68
1	377	68
2	6017	68

Stop Event

1×	node limit

Counts

4 → 157

Calls

Call 1

Inputs
(+.f64 c (+.f64 b (+.f64 a d)))
(+.f64 (+.f64 c d) a)
(fma.f64 (sqrt.f64 (+.f64 b (+.f64 c d))) (sqrt.f64 (+.f64 b (+.f64 c d))) a)
(sqrt.f64 (+.f64 b (+.f64 c d)))

Outputs
(-.f64 (exp.f64 (log1p.f64 (+.f64 (+.f64 c d) (+.f64 b a)))) 1)
(-.f64 (/.f64 (*.f64 c c) (-.f64 c (+.f64 b (+.f64 a d)))) (/.f64 (pow.f64 (+.f64 b (+.f64 a d)) 2) (-.f64 c (+.f64 b (+.f64 a d)))))
(*.f64 (+.f64 (+.f64 c d) (+.f64 b a)) 1)
(*.f64 1 (+.f64 (+.f64 c d) (+.f64 b a)))
(*.f64 (cbrt.f64 (+.f64 (+.f64 c d) (+.f64 b a))) (pow.f64 (cbrt.f64 (+.f64 (+.f64 c d) (+.f64 b a))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 c d) (+.f64 b a))) 2) (cbrt.f64 (+.f64 (+.f64 c d) (+.f64 b a))))
(*.f64 (sqrt.f64 (+.f64 (+.f64 c d) (+.f64 b a))) (sqrt.f64 (+.f64 (+.f64 c d) (+.f64 b a))))
(.f64 (+.f64 (pow.f64 (+.f64 b (+.f64 a d)) 3) (pow.f64 c 3)) (/.f64 1 (fma.f64 c c (.f64 (+.f64 b (+.f64 a d)) (-.f64 (+.f64 b (+.f64 a d)) c)))))
(.f64 (-.f64 (.f64 c c) (pow.f64 (+.f64 b (+.f64 a d)) 2)) (/.f64 1 (-.f64 c (+.f64 b (+.f64 a d)))))
(/.f64 1 (/.f64 (fma.f64 c c (*.f64 (+.f64 b (+.f64 a d)) (-.f64 (+.f64 b (+.f64 a d)) c))) (+.f64 (pow.f64 (+.f64 b (+.f64 a d)) 3) (pow.f64 c 3))))
(/.f64 1 (/.f64 (-.f64 c (+.f64 b (+.f64 a d))) (-.f64 (*.f64 c c) (pow.f64 (+.f64 b (+.f64 a d)) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 b (+.f64 a d)) 3) (pow.f64 c 3)) (fma.f64 c c (*.f64 (+.f64 b (+.f64 a d)) (-.f64 (+.f64 b (+.f64 a d)) c))))
(/.f64 (+.f64 (pow.f64 (+.f64 b (+.f64 a d)) 3) (pow.f64 c 3)) (+.f64 (pow.f64 (+.f64 b (+.f64 a d)) 2) (-.f64 (.f64 c c) (.f64 c (+.f64 b (+.f64 a d))))))
(/.f64 (-.f64 (*.f64 c c) (pow.f64 (+.f64 b (+.f64 a d)) 2)) (-.f64 c (+.f64 b (+.f64 a d))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 b (+.f64 a d)) 3) (pow.f64 c 3))) (neg.f64 (fma.f64 c c (*.f64 (+.f64 b (+.f64 a d)) (-.f64 (+.f64 b (+.f64 a d)) c)))))
(/.f64 (neg.f64 (-.f64 (*.f64 c c) (pow.f64 (+.f64 b (+.f64 a d)) 2))) (neg.f64 (-.f64 c (+.f64 b (+.f64 a d)))))
(/.f64 (+.f64 (pow.f64 (+.f64 c b) 3) (pow.f64 (+.f64 a d) 3)) (+.f64 (.f64 (+.f64 c b) (+.f64 c b)) (-.f64 (pow.f64 (+.f64 a d) 2) (.f64 (+.f64 c b) (+.f64 a d)))))
(/.f64 (+.f64 (pow.f64 (+.f64 c (+.f64 d b)) 3) (pow.f64 a 3)) (+.f64 (pow.f64 (+.f64 c (+.f64 d b)) 2) (-.f64 (.f64 a a) (.f64 (+.f64 c (+.f64 d b)) a))))
(/.f64 (-.f64 (pow.f64 (+.f64 b (+.f64 a d)) 2) (*.f64 c c)) (-.f64 (+.f64 b (+.f64 a d)) c))
(/.f64 (fma.f64 (+.f64 c b) (+.f64 c b) (neg.f64 (pow.f64 (+.f64 a d) 2))) (-.f64 (+.f64 c b) (+.f64 a d)))
(/.f64 (-.f64 (pow.f64 (+.f64 c (+.f64 d b)) 2) (*.f64 a a)) (-.f64 (+.f64 c (+.f64 d b)) a))
(pow.f64 (+.f64 (+.f64 c d) (+.f64 b a)) 1)
(pow.f64 (cbrt.f64 (+.f64 (+.f64 c d) (+.f64 b a))) 3)
(pow.f64 (pow.f64 (+.f64 (+.f64 c d) (+.f64 b a)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (+.f64 c d) (+.f64 b a))) 2)
(sqrt.f64 (pow.f64 (+.f64 (+.f64 c d) (+.f64 b a)) 2))
(log.f64 (exp.f64 (+.f64 (+.f64 c d) (+.f64 b a))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (+.f64 c d) (+.f64 b a)))))
(cbrt.f64 (pow.f64 (+.f64 (+.f64 c d) (+.f64 b a)) 3))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 c d) (+.f64 b a))))
(exp.f64 (log.f64 (+.f64 (+.f64 c d) (+.f64 b a))))
(exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 c d) (+.f64 b a))) 1))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 c d) (+.f64 b a))))
(fma.f64 (sqrt.f64 (+.f64 c (+.f64 d b))) (sqrt.f64 (+.f64 c (+.f64 d b))) a)
(fma.f64 1 c (+.f64 b (+.f64 a d)))
(fma.f64 1 (+.f64 b (+.f64 a d)) c)
(fma.f64 1 (+.f64 c (+.f64 d b)) a)
(fma.f64 (pow.f64 (cbrt.f64 c) 2) (cbrt.f64 c) (+.f64 b (+.f64 a d)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 c (+.f64 d b))) 2) (cbrt.f64 (+.f64 c (+.f64 d b))) a)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 b (+.f64 a d))) 2) (cbrt.f64 (+.f64 b (+.f64 a d))) c)
(fma.f64 (sqrt.f64 c) (sqrt.f64 c) (+.f64 b (+.f64 a d)))
(fma.f64 (sqrt.f64 (+.f64 b (+.f64 a d))) (sqrt.f64 (+.f64 b (+.f64 a d))) c)
(-.f64 (exp.f64 (log1p.f64 (+.f64 c (+.f64 a d)))) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 c d) 2) (+.f64 c (-.f64 d a))) (/.f64 (*.f64 a a) (+.f64 c (-.f64 d a))))
(*.f64 (+.f64 c (+.f64 a d)) 1)
(*.f64 1 (+.f64 c (+.f64 a d)))
(*.f64 (cbrt.f64 (+.f64 c (+.f64 a d))) (pow.f64 (cbrt.f64 (+.f64 c (+.f64 a d))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 c (+.f64 a d))) 2) (cbrt.f64 (+.f64 c (+.f64 a d))))
(*.f64 (sqrt.f64 (+.f64 c (+.f64 a d))) (sqrt.f64 (+.f64 c (+.f64 a d))))
(.f64 (+.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 a 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 c d) 2) (.f64 a (-.f64 a (+.f64 c d))))))
(.f64 (-.f64 (pow.f64 (+.f64 c d) 2) (.f64 a a)) (/.f64 1 (+.f64 c (-.f64 d a))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 c d) 2) (*.f64 a (-.f64 a (+.f64 c d)))) (+.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 a 3))))
(/.f64 1 (/.f64 (+.f64 c (-.f64 d a)) (-.f64 (pow.f64 (+.f64 c d) 2) (*.f64 a a))))
(/.f64 (+.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 a 3)) (+.f64 (pow.f64 (+.f64 c d) 2) (*.f64 a (-.f64 a (+.f64 c d)))))
(/.f64 (+.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 a 3)) (+.f64 (.f64 a a) (-.f64 (pow.f64 (+.f64 c d) 2) (.f64 a (+.f64 c d)))))
(/.f64 (-.f64 (pow.f64 (+.f64 c d) 2) (*.f64 a a)) (+.f64 c (-.f64 d a)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 a 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 c d) 2) (*.f64 a (-.f64 a (+.f64 c d))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 c d) 2) (*.f64 a a))) (neg.f64 (+.f64 c (-.f64 d a))))
(/.f64 (+.f64 (pow.f64 c 3) (pow.f64 (+.f64 a d) 3)) (+.f64 (.f64 c c) (-.f64 (pow.f64 (+.f64 a d) 2) (.f64 c (+.f64 a d)))))
(/.f64 (-.f64 (*.f64 c c) (pow.f64 (+.f64 a d) 2)) (-.f64 c (+.f64 a d)))
(/.f64 (-.f64 (*.f64 a a) (pow.f64 (+.f64 c d) 2)) (-.f64 a (+.f64 c d)))
(pow.f64 (+.f64 c (+.f64 a d)) 1)
(pow.f64 (cbrt.f64 (+.f64 c (+.f64 a d))) 3)
(pow.f64 (pow.f64 (+.f64 c (+.f64 a d)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 c (+.f64 a d))) 2)
(sqrt.f64 (pow.f64 (+.f64 c (+.f64 a d)) 2))
(log.f64 (exp.f64 (+.f64 c (+.f64 a d))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 c (+.f64 a d)))))
(cbrt.f64 (pow.f64 (+.f64 c (+.f64 a d)) 3))
(expm1.f64 (log1p.f64 (+.f64 c (+.f64 a d))))
(exp.f64 (log.f64 (+.f64 c (+.f64 a d))))
(exp.f64 (*.f64 (log.f64 (+.f64 c (+.f64 a d))) 1))
(log1p.f64 (expm1.f64 (+.f64 c (+.f64 a d))))
(fma.f64 1 c (+.f64 a d))
(fma.f64 1 a (+.f64 c d))
(fma.f64 1 (+.f64 c d) a)
(fma.f64 (pow.f64 (cbrt.f64 c) 2) (cbrt.f64 c) (+.f64 a d))
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (+.f64 c d))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 c d)) 2) (cbrt.f64 (+.f64 c d)) a)
(fma.f64 (sqrt.f64 c) (sqrt.f64 c) (+.f64 a d))
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (+.f64 c d))
(fma.f64 (sqrt.f64 (+.f64 c d)) (sqrt.f64 (+.f64 c d)) a)
(+.f64 c (+.f64 b (+.f64 a d)))
(+.f64 b (+.f64 c (+.f64 a d)))
(+.f64 a (+.f64 c (+.f64 d b)))
(+.f64 (+.f64 a d) (+.f64 c b))
(+.f64 (+.f64 b (+.f64 a d)) c)
(+.f64 (+.f64 c d) (+.f64 b a))
(+.f64 (+.f64 c (+.f64 a d)) b)
(+.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (+.f64 c b) (+.f64 a d))
(+.f64 (+.f64 b a) (+.f64 c d))
(+.f64 (*.f64 (+.f64 c b) 1) (+.f64 a d))
(+.f64 (+.f64 c (+.f64 b a)) d)
(+.f64 (+.f64 (+.f64 c b) a) d)
(-.f64 (exp.f64 (log1p.f64 (+.f64 (+.f64 c d) (+.f64 b a)))) 1)
(-.f64 (/.f64 (*.f64 c c) (-.f64 c (+.f64 b (+.f64 a d)))) (/.f64 (pow.f64 (+.f64 b (+.f64 a d)) 2) (-.f64 c (+.f64 b (+.f64 a d)))))
(*.f64 (+.f64 (+.f64 c d) (+.f64 b a)) 1)
(*.f64 1 (+.f64 (+.f64 c d) (+.f64 b a)))
(*.f64 (cbrt.f64 (+.f64 (+.f64 c d) (+.f64 b a))) (pow.f64 (cbrt.f64 (+.f64 (+.f64 c d) (+.f64 b a))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 c d) (+.f64 b a))) 2) (cbrt.f64 (+.f64 (+.f64 c d) (+.f64 b a))))
(*.f64 (sqrt.f64 (+.f64 (+.f64 c d) (+.f64 b a))) (sqrt.f64 (+.f64 (+.f64 c d) (+.f64 b a))))
(.f64 (+.f64 (pow.f64 (+.f64 b (+.f64 a d)) 3) (pow.f64 c 3)) (/.f64 1 (fma.f64 c c (.f64 (+.f64 b (+.f64 a d)) (-.f64 (+.f64 b (+.f64 a d)) c)))))
(.f64 (-.f64 (.f64 c c) (pow.f64 (+.f64 b (+.f64 a d)) 2)) (/.f64 1 (-.f64 c (+.f64 b (+.f64 a d)))))
(/.f64 1 (/.f64 (fma.f64 c c (*.f64 (+.f64 b (+.f64 a d)) (-.f64 (+.f64 b (+.f64 a d)) c))) (+.f64 (pow.f64 (+.f64 b (+.f64 a d)) 3) (pow.f64 c 3))))
(/.f64 1 (/.f64 (-.f64 c (+.f64 b (+.f64 a d))) (-.f64 (*.f64 c c) (pow.f64 (+.f64 b (+.f64 a d)) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 b (+.f64 a d)) 3) (pow.f64 c 3)) (fma.f64 c c (*.f64 (+.f64 b (+.f64 a d)) (-.f64 (+.f64 b (+.f64 a d)) c))))
(/.f64 (+.f64 (pow.f64 (+.f64 b (+.f64 a d)) 3) (pow.f64 c 3)) (+.f64 (pow.f64 (+.f64 b (+.f64 a d)) 2) (-.f64 (.f64 c c) (.f64 c (+.f64 b (+.f64 a d))))))
(/.f64 (-.f64 (*.f64 c c) (pow.f64 (+.f64 b (+.f64 a d)) 2)) (-.f64 c (+.f64 b (+.f64 a d))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 b (+.f64 a d)) 3) (pow.f64 c 3))) (neg.f64 (fma.f64 c c (*.f64 (+.f64 b (+.f64 a d)) (-.f64 (+.f64 b (+.f64 a d)) c)))))
(/.f64 (neg.f64 (-.f64 (*.f64 c c) (pow.f64 (+.f64 b (+.f64 a d)) 2))) (neg.f64 (-.f64 c (+.f64 b (+.f64 a d)))))
(/.f64 (+.f64 (pow.f64 (+.f64 c b) 3) (pow.f64 (+.f64 a d) 3)) (+.f64 (.f64 (+.f64 c b) (+.f64 c b)) (-.f64 (pow.f64 (+.f64 a d) 2) (.f64 (+.f64 c b) (+.f64 a d)))))
(/.f64 (+.f64 (pow.f64 (+.f64 c (+.f64 d b)) 3) (pow.f64 a 3)) (+.f64 (pow.f64 (+.f64 c (+.f64 d b)) 2) (-.f64 (.f64 a a) (.f64 (+.f64 c (+.f64 d b)) a))))
(/.f64 (-.f64 (pow.f64 (+.f64 b (+.f64 a d)) 2) (*.f64 c c)) (-.f64 (+.f64 b (+.f64 a d)) c))
(/.f64 (fma.f64 (+.f64 c b) (+.f64 c b) (neg.f64 (pow.f64 (+.f64 a d) 2))) (-.f64 (+.f64 c b) (+.f64 a d)))
(/.f64 (-.f64 (pow.f64 (+.f64 c (+.f64 d b)) 2) (*.f64 a a)) (-.f64 (+.f64 c (+.f64 d b)) a))
(pow.f64 (+.f64 (+.f64 c d) (+.f64 b a)) 1)
(pow.f64 (cbrt.f64 (+.f64 (+.f64 c d) (+.f64 b a))) 3)
(pow.f64 (pow.f64 (+.f64 (+.f64 c d) (+.f64 b a)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (+.f64 c d) (+.f64 b a))) 2)
(sqrt.f64 (pow.f64 (+.f64 (+.f64 c d) (+.f64 b a)) 2))
(log.f64 (exp.f64 (+.f64 (+.f64 c d) (+.f64 b a))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (+.f64 c d) (+.f64 b a)))))
(cbrt.f64 (pow.f64 (+.f64 (+.f64 c d) (+.f64 b a)) 3))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 c d) (+.f64 b a))))
(exp.f64 (log.f64 (+.f64 (+.f64 c d) (+.f64 b a))))
(exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 c d) (+.f64 b a))) 1))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 c d) (+.f64 b a))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 c (+.f64 d b))))) 1)
(*.f64 (sqrt.f64 (+.f64 c (+.f64 d b))) 1)
(*.f64 1 (sqrt.f64 (+.f64 c (+.f64 d b))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 c (+.f64 d b)))) (cbrt.f64 (+.f64 c (+.f64 d b))))
(*.f64 (cbrt.f64 (+.f64 c (+.f64 d b))) (cbrt.f64 (sqrt.f64 (+.f64 c (+.f64 d b)))))
(*.f64 (pow.f64 (+.f64 c (+.f64 d b)) 1/4) (pow.f64 (+.f64 c (+.f64 d b)) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 c (+.f64 d b))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 c (+.f64 d b)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 c (+.f64 d b))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 c (+.f64 d b))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 c (+.f64 d b))) 1/2))
(/.f64 (sqrt.f64 (-.f64 (*.f64 b b) (pow.f64 (+.f64 c d) 2))) (sqrt.f64 (-.f64 b (+.f64 c d))))
(/.f64 (hypot.f64 (pow.f64 b 3/2) (pow.f64 (+.f64 c d) 3/2)) (hypot.f64 b (sqrt.f64 (*.f64 (+.f64 c d) (-.f64 (+.f64 c d) b)))))
(pow.f64 (+.f64 c (+.f64 d b)) 1/2)
(pow.f64 (sqrt.f64 (+.f64 c (+.f64 d b))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 c (+.f64 d b)))) 3)
(pow.f64 (pow.f64 (+.f64 c (+.f64 d b)) 3/2) 1/3)
(pow.f64 (pow.f64 (+.f64 c (+.f64 d b)) 1/4) 2)
(fabs.f64 (sqrt.f64 (+.f64 c (+.f64 d b))))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 c (+.f64 d b)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 c (+.f64 d b))))))
(cbrt.f64 (pow.f64 (+.f64 c (+.f64 d b)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 c (+.f64 d b)))))
(hypot.f64 (sqrt.f64 d) (sqrt.f64 (+.f64 c b)))
(hypot.f64 (sqrt.f64 (+.f64 c d)) (sqrt.f64 b))
(hypot.f64 (sqrt.f64 b) (sqrt.f64 (+.f64 c d)))
(hypot.f64 (sqrt.f64 (+.f64 c b)) (sqrt.f64 d))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 c (+.f64 d b)))))
(exp.f64 (*.f64 (log.f64 (+.f64 c (+.f64 d b))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 c (+.f64 d b)))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 c (+.f64 d b)))))

simplify123.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

864×	`times-frac`
644×	`fma-def`
518×	`distribute-rgt-in`
482×	`distribute-lft-in`
458×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	499	9405
1	1406	9215
2	5170	8967

Stop Event

1×	node limit

Counts

277 → 233

Calls

Call 1

Inputs
(+.f64 a (+.f64 b d))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 b (+.f64 c d)))
c
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 b (+.f64 c d)))
c
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 c d))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 b (+.f64 c d)))
b
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 b (+.f64 c d)))
b
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 b (+.f64 c d))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 b (+.f64 c d)))
a
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 b (+.f64 c d)))
a
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 b c))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 b (+.f64 c d)))
d
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 b (+.f64 c d)))
d
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a d)
(+.f64 a (+.f64 c d))
(+.f64 a (+.f64 c d))
(+.f64 a (+.f64 c d))
c
(+.f64 a (+.f64 c d))
(+.f64 a (+.f64 c d))
(+.f64 a (+.f64 c d))
c
(+.f64 a (+.f64 c d))
(+.f64 a (+.f64 c d))
(+.f64 a (+.f64 c d))
(+.f64 a c)
(+.f64 a (+.f64 c d))
(+.f64 a (+.f64 c d))
(+.f64 a (+.f64 c d))
d
(+.f64 a (+.f64 c d))
(+.f64 a (+.f64 c d))
(+.f64 a (+.f64 c d))
d
(+.f64 a (+.f64 c d))
(+.f64 a (+.f64 c d))
(+.f64 a (+.f64 c d))
(+.f64 c d)
(+.f64 a (+.f64 c d))
(+.f64 a (+.f64 c d))
(+.f64 a (+.f64 c d))
a
(+.f64 a (+.f64 c d))
(+.f64 a (+.f64 c d))
(+.f64 a (+.f64 c d))
a
(+.f64 a (+.f64 c d))
(+.f64 a (+.f64 c d))
(+.f64 a (+.f64 c d))
(+.f64 a (+.f64 c d))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 b (+.f64 c (+.f64 d (.f64 (pow.f64 b 4) (+.f64 (.f64 -1 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 (+.f64 c d) 3))) (pow.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 c d) 3)))) 2))) (*.f64 5/64 (/.f64 1 (pow.f64 (+.f64 c d) 3)))))))))
(+.f64 a (+.f64 b (+.f64 c (+.f64 d (+.f64 (.f64 (pow.f64 b 4) (+.f64 (.f64 -1 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 (+.f64 c d) 3))) (pow.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 c d) 3)))) 2))) (.f64 5/64 (/.f64 1 (pow.f64 (+.f64 c d) 3))))) (.f64 (pow.f64 b 6) (+.f64 (.f64 -1 (+.f64 (.f64 1/8 (/.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 (+.f64 c d) 3))) (pow.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 c d) 3)))) 2)) (pow.f64 (+.f64 c d) 2))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 (+.f64 c d) 4))) (.f64 -1/2 (/.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 (+.f64 c d) 3))) (pow.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 c d) 3)))) 2)) (+.f64 c d)))) (+.f64 c d))) (pow.f64 (.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 c d) 5)))) 2)))) (+.f64 (.f64 1/256 (/.f64 1 (pow.f64 (+.f64 c d) 5))) (+.f64 (.f64 1/8 (/.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 (+.f64 c d) 3))) (pow.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 c d) 3)))) 2)) (pow.f64 (+.f64 c d) 2))) (.f64 1/2 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 (+.f64 c d) 4))) (.f64 -1/2 (/.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 (+.f64 c d) 3))) (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 c d) 3)))) 2)) (+.f64 c d)))) (+.f64 c d))))))))))))
(+.f64 a (+.f64 b d))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 b (+.f64 c (+.f64 d (.f64 (pow.f64 c 4) (+.f64 (.f64 -1 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 (+.f64 b d) 3))) (pow.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 b d) 3)))) 2))) (*.f64 5/64 (/.f64 1 (pow.f64 (+.f64 b d) 3)))))))))
(+.f64 a (+.f64 b (+.f64 c (+.f64 d (+.f64 (.f64 (pow.f64 c 4) (+.f64 (.f64 -1 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 (+.f64 b d) 3))) (pow.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 b d) 3)))) 2))) (.f64 5/64 (/.f64 1 (pow.f64 (+.f64 b d) 3))))) (.f64 (pow.f64 c 6) (+.f64 (.f64 -1 (+.f64 (.f64 1/8 (/.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 (+.f64 b d) 3))) (pow.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 b d) 3)))) 2)) (pow.f64 (+.f64 b d) 2))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 (+.f64 b d) 4))) (.f64 -1/2 (/.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 (+.f64 b d) 3))) (pow.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 b d) 3)))) 2)) (+.f64 b d)))) (+.f64 b d))) (pow.f64 (.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 b d) 5)))) 2)))) (+.f64 (.f64 1/256 (/.f64 1 (pow.f64 (+.f64 b d) 5))) (+.f64 (.f64 1/8 (/.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 (+.f64 b d) 3))) (pow.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 b d) 3)))) 2)) (pow.f64 (+.f64 b d) 2))) (.f64 1/2 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 (+.f64 b d) 4))) (.f64 -1/2 (/.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 (+.f64 b d) 3))) (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 b d) 3)))) 2)) (+.f64 b d)))) (+.f64 b d))))))))))))
(+.f64 a (+.f64 b c))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 b (+.f64 c (+.f64 d (.f64 (pow.f64 d 4) (+.f64 (.f64 -1 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 (+.f64 b c) 3))) (pow.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 b c) 3)))) 2))) (*.f64 5/64 (/.f64 1 (pow.f64 (+.f64 b c) 3)))))))))
(+.f64 a (+.f64 b (+.f64 c (+.f64 d (+.f64 (.f64 (pow.f64 d 4) (+.f64 (.f64 -1 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 (+.f64 b c) 3))) (pow.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 b c) 3)))) 2))) (.f64 5/64 (/.f64 1 (pow.f64 (+.f64 b c) 3))))) (.f64 (pow.f64 d 6) (+.f64 (.f64 -1 (+.f64 (.f64 1/8 (/.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 (+.f64 b c) 3))) (pow.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 b c) 3)))) 2)) (pow.f64 (+.f64 b c) 2))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 (+.f64 b c) 4))) (.f64 -1/2 (/.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 (+.f64 b c) 3))) (pow.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 b c) 3)))) 2)) (+.f64 b c)))) (+.f64 b c))) (pow.f64 (.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 b c) 5)))) 2)))) (+.f64 (.f64 1/256 (/.f64 1 (pow.f64 (+.f64 b c) 5))) (+.f64 (.f64 1/8 (/.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 (+.f64 b c) 3))) (pow.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 b c) 3)))) 2)) (pow.f64 (+.f64 b c) 2))) (.f64 1/2 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 (+.f64 b c) 4))) (.f64 -1/2 (/.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 (+.f64 b c) 3))) (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 b c) 3)))) 2)) (+.f64 b c)))) (+.f64 b c))))))))))))
(+.f64 b (+.f64 c d))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 b (+.f64 c d)))
a
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 b (+.f64 c d)))
a
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(sqrt.f64 (+.f64 c d))
(+.f64 (sqrt.f64 (+.f64 c d)) (.f64 1/2 (.f64 b (sqrt.f64 (/.f64 1 (+.f64 c d))))))
(+.f64 (sqrt.f64 (+.f64 c d)) (+.f64 (.f64 -1/8 (.f64 (pow.f64 b 2) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 c d) 3))))) (.f64 1/2 (.f64 b (sqrt.f64 (/.f64 1 (+.f64 c d)))))))
(+.f64 (sqrt.f64 (+.f64 c d)) (+.f64 (.f64 -1/8 (.f64 (pow.f64 b 2) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 c d) 3))))) (+.f64 (.f64 1/16 (.f64 (pow.f64 b 3) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 c d) 5))))) (.f64 1/2 (.f64 b (sqrt.f64 (/.f64 1 (+.f64 c d))))))))
(sqrt.f64 (+.f64 b d))
(+.f64 (sqrt.f64 (+.f64 b d)) (.f64 1/2 (.f64 c (sqrt.f64 (/.f64 1 (+.f64 b d))))))
(+.f64 (sqrt.f64 (+.f64 b d)) (+.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 b d) 3))))) (.f64 1/2 (.f64 c (sqrt.f64 (/.f64 1 (+.f64 b d)))))))
(+.f64 (sqrt.f64 (+.f64 b d)) (+.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 b d) 3))))) (+.f64 (.f64 1/16 (.f64 (pow.f64 c 3) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 b d) 5))))) (.f64 1/2 (.f64 c (sqrt.f64 (/.f64 1 (+.f64 b d))))))))
(sqrt.f64 (+.f64 b c))
(+.f64 (sqrt.f64 (+.f64 b c)) (.f64 1/2 (.f64 d (sqrt.f64 (/.f64 1 (+.f64 b c))))))
(+.f64 (sqrt.f64 (+.f64 b c)) (+.f64 (.f64 -1/8 (.f64 (pow.f64 d 2) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 b c) 3))))) (.f64 1/2 (.f64 d (sqrt.f64 (/.f64 1 (+.f64 b c)))))))
(+.f64 (sqrt.f64 (+.f64 b c)) (+.f64 (.f64 -1/8 (.f64 (pow.f64 d 2) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 b c) 3))))) (+.f64 (.f64 1/16 (.f64 (pow.f64 d 3) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 b c) 5))))) (.f64 1/2 (.f64 d (sqrt.f64 (/.f64 1 (+.f64 b c))))))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (+.f64 c d) (+.f64 b a)))) 1)
(-.f64 (/.f64 (*.f64 c c) (-.f64 c (+.f64 b (+.f64 a d)))) (/.f64 (pow.f64 (+.f64 b (+.f64 a d)) 2) (-.f64 c (+.f64 b (+.f64 a d)))))
(*.f64 (+.f64 (+.f64 c d) (+.f64 b a)) 1)
(*.f64 1 (+.f64 (+.f64 c d) (+.f64 b a)))
(*.f64 (cbrt.f64 (+.f64 (+.f64 c d) (+.f64 b a))) (pow.f64 (cbrt.f64 (+.f64 (+.f64 c d) (+.f64 b a))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 c d) (+.f64 b a))) 2) (cbrt.f64 (+.f64 (+.f64 c d) (+.f64 b a))))
(*.f64 (sqrt.f64 (+.f64 (+.f64 c d) (+.f64 b a))) (sqrt.f64 (+.f64 (+.f64 c d) (+.f64 b a))))
(.f64 (+.f64 (pow.f64 (+.f64 b (+.f64 a d)) 3) (pow.f64 c 3)) (/.f64 1 (fma.f64 c c (.f64 (+.f64 b (+.f64 a d)) (-.f64 (+.f64 b (+.f64 a d)) c)))))
(.f64 (-.f64 (.f64 c c) (pow.f64 (+.f64 b (+.f64 a d)) 2)) (/.f64 1 (-.f64 c (+.f64 b (+.f64 a d)))))
(/.f64 1 (/.f64 (fma.f64 c c (*.f64 (+.f64 b (+.f64 a d)) (-.f64 (+.f64 b (+.f64 a d)) c))) (+.f64 (pow.f64 (+.f64 b (+.f64 a d)) 3) (pow.f64 c 3))))
(/.f64 1 (/.f64 (-.f64 c (+.f64 b (+.f64 a d))) (-.f64 (*.f64 c c) (pow.f64 (+.f64 b (+.f64 a d)) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 b (+.f64 a d)) 3) (pow.f64 c 3)) (fma.f64 c c (*.f64 (+.f64 b (+.f64 a d)) (-.f64 (+.f64 b (+.f64 a d)) c))))
(/.f64 (+.f64 (pow.f64 (+.f64 b (+.f64 a d)) 3) (pow.f64 c 3)) (+.f64 (pow.f64 (+.f64 b (+.f64 a d)) 2) (-.f64 (.f64 c c) (.f64 c (+.f64 b (+.f64 a d))))))
(/.f64 (-.f64 (*.f64 c c) (pow.f64 (+.f64 b (+.f64 a d)) 2)) (-.f64 c (+.f64 b (+.f64 a d))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 b (+.f64 a d)) 3) (pow.f64 c 3))) (neg.f64 (fma.f64 c c (*.f64 (+.f64 b (+.f64 a d)) (-.f64 (+.f64 b (+.f64 a d)) c)))))
(/.f64 (neg.f64 (-.f64 (*.f64 c c) (pow.f64 (+.f64 b (+.f64 a d)) 2))) (neg.f64 (-.f64 c (+.f64 b (+.f64 a d)))))
(/.f64 (+.f64 (pow.f64 (+.f64 c b) 3) (pow.f64 (+.f64 a d) 3)) (+.f64 (.f64 (+.f64 c b) (+.f64 c b)) (-.f64 (pow.f64 (+.f64 a d) 2) (.f64 (+.f64 c b) (+.f64 a d)))))
(/.f64 (+.f64 (pow.f64 (+.f64 c (+.f64 d b)) 3) (pow.f64 a 3)) (+.f64 (pow.f64 (+.f64 c (+.f64 d b)) 2) (-.f64 (.f64 a a) (.f64 (+.f64 c (+.f64 d b)) a))))
(/.f64 (-.f64 (pow.f64 (+.f64 b (+.f64 a d)) 2) (*.f64 c c)) (-.f64 (+.f64 b (+.f64 a d)) c))
(/.f64 (fma.f64 (+.f64 c b) (+.f64 c b) (neg.f64 (pow.f64 (+.f64 a d) 2))) (-.f64 (+.f64 c b) (+.f64 a d)))
(/.f64 (-.f64 (pow.f64 (+.f64 c (+.f64 d b)) 2) (*.f64 a a)) (-.f64 (+.f64 c (+.f64 d b)) a))
(pow.f64 (+.f64 (+.f64 c d) (+.f64 b a)) 1)
(pow.f64 (cbrt.f64 (+.f64 (+.f64 c d) (+.f64 b a))) 3)
(pow.f64 (pow.f64 (+.f64 (+.f64 c d) (+.f64 b a)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (+.f64 c d) (+.f64 b a))) 2)
(sqrt.f64 (pow.f64 (+.f64 (+.f64 c d) (+.f64 b a)) 2))
(log.f64 (exp.f64 (+.f64 (+.f64 c d) (+.f64 b a))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (+.f64 c d) (+.f64 b a)))))
(cbrt.f64 (pow.f64 (+.f64 (+.f64 c d) (+.f64 b a)) 3))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 c d) (+.f64 b a))))
(exp.f64 (log.f64 (+.f64 (+.f64 c d) (+.f64 b a))))
(exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 c d) (+.f64 b a))) 1))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 c d) (+.f64 b a))))
(fma.f64 (sqrt.f64 (+.f64 c (+.f64 d b))) (sqrt.f64 (+.f64 c (+.f64 d b))) a)
(fma.f64 1 c (+.f64 b (+.f64 a d)))
(fma.f64 1 (+.f64 b (+.f64 a d)) c)
(fma.f64 1 (+.f64 c (+.f64 d b)) a)
(fma.f64 (pow.f64 (cbrt.f64 c) 2) (cbrt.f64 c) (+.f64 b (+.f64 a d)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 c (+.f64 d b))) 2) (cbrt.f64 (+.f64 c (+.f64 d b))) a)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 b (+.f64 a d))) 2) (cbrt.f64 (+.f64 b (+.f64 a d))) c)
(fma.f64 (sqrt.f64 c) (sqrt.f64 c) (+.f64 b (+.f64 a d)))
(fma.f64 (sqrt.f64 (+.f64 b (+.f64 a d))) (sqrt.f64 (+.f64 b (+.f64 a d))) c)
(-.f64 (exp.f64 (log1p.f64 (+.f64 c (+.f64 a d)))) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 c d) 2) (+.f64 c (-.f64 d a))) (/.f64 (*.f64 a a) (+.f64 c (-.f64 d a))))
(*.f64 (+.f64 c (+.f64 a d)) 1)
(*.f64 1 (+.f64 c (+.f64 a d)))
(*.f64 (cbrt.f64 (+.f64 c (+.f64 a d))) (pow.f64 (cbrt.f64 (+.f64 c (+.f64 a d))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 c (+.f64 a d))) 2) (cbrt.f64 (+.f64 c (+.f64 a d))))
(*.f64 (sqrt.f64 (+.f64 c (+.f64 a d))) (sqrt.f64 (+.f64 c (+.f64 a d))))
(.f64 (+.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 a 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 c d) 2) (.f64 a (-.f64 a (+.f64 c d))))))
(.f64 (-.f64 (pow.f64 (+.f64 c d) 2) (.f64 a a)) (/.f64 1 (+.f64 c (-.f64 d a))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 c d) 2) (*.f64 a (-.f64 a (+.f64 c d)))) (+.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 a 3))))
(/.f64 1 (/.f64 (+.f64 c (-.f64 d a)) (-.f64 (pow.f64 (+.f64 c d) 2) (*.f64 a a))))
(/.f64 (+.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 a 3)) (+.f64 (pow.f64 (+.f64 c d) 2) (*.f64 a (-.f64 a (+.f64 c d)))))
(/.f64 (+.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 a 3)) (+.f64 (.f64 a a) (-.f64 (pow.f64 (+.f64 c d) 2) (.f64 a (+.f64 c d)))))
(/.f64 (-.f64 (pow.f64 (+.f64 c d) 2) (*.f64 a a)) (+.f64 c (-.f64 d a)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 a 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 c d) 2) (*.f64 a (-.f64 a (+.f64 c d))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 c d) 2) (*.f64 a a))) (neg.f64 (+.f64 c (-.f64 d a))))
(/.f64 (+.f64 (pow.f64 c 3) (pow.f64 (+.f64 a d) 3)) (+.f64 (.f64 c c) (-.f64 (pow.f64 (+.f64 a d) 2) (.f64 c (+.f64 a d)))))
(/.f64 (-.f64 (*.f64 c c) (pow.f64 (+.f64 a d) 2)) (-.f64 c (+.f64 a d)))
(/.f64 (-.f64 (*.f64 a a) (pow.f64 (+.f64 c d) 2)) (-.f64 a (+.f64 c d)))
(pow.f64 (+.f64 c (+.f64 a d)) 1)
(pow.f64 (cbrt.f64 (+.f64 c (+.f64 a d))) 3)
(pow.f64 (pow.f64 (+.f64 c (+.f64 a d)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 c (+.f64 a d))) 2)
(sqrt.f64 (pow.f64 (+.f64 c (+.f64 a d)) 2))
(log.f64 (exp.f64 (+.f64 c (+.f64 a d))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 c (+.f64 a d)))))
(cbrt.f64 (pow.f64 (+.f64 c (+.f64 a d)) 3))
(expm1.f64 (log1p.f64 (+.f64 c (+.f64 a d))))
(exp.f64 (log.f64 (+.f64 c (+.f64 a d))))
(exp.f64 (*.f64 (log.f64 (+.f64 c (+.f64 a d))) 1))
(log1p.f64 (expm1.f64 (+.f64 c (+.f64 a d))))
(fma.f64 1 c (+.f64 a d))
(fma.f64 1 a (+.f64 c d))
(fma.f64 1 (+.f64 c d) a)
(fma.f64 (pow.f64 (cbrt.f64 c) 2) (cbrt.f64 c) (+.f64 a d))
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (+.f64 c d))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 c d)) 2) (cbrt.f64 (+.f64 c d)) a)
(fma.f64 (sqrt.f64 c) (sqrt.f64 c) (+.f64 a d))
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (+.f64 c d))
(fma.f64 (sqrt.f64 (+.f64 c d)) (sqrt.f64 (+.f64 c d)) a)
(+.f64 c (+.f64 b (+.f64 a d)))
(+.f64 b (+.f64 c (+.f64 a d)))
(+.f64 a (+.f64 c (+.f64 d b)))
(+.f64 (+.f64 a d) (+.f64 c b))
(+.f64 (+.f64 b (+.f64 a d)) c)
(+.f64 (+.f64 c d) (+.f64 b a))
(+.f64 (+.f64 c (+.f64 a d)) b)
(+.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (+.f64 c b) (+.f64 a d))
(+.f64 (+.f64 b a) (+.f64 c d))
(+.f64 (*.f64 (+.f64 c b) 1) (+.f64 a d))
(+.f64 (+.f64 c (+.f64 b a)) d)
(+.f64 (+.f64 (+.f64 c b) a) d)
(-.f64 (exp.f64 (log1p.f64 (+.f64 (+.f64 c d) (+.f64 b a)))) 1)
(-.f64 (/.f64 (*.f64 c c) (-.f64 c (+.f64 b (+.f64 a d)))) (/.f64 (pow.f64 (+.f64 b (+.f64 a d)) 2) (-.f64 c (+.f64 b (+.f64 a d)))))
(*.f64 (+.f64 (+.f64 c d) (+.f64 b a)) 1)
(*.f64 1 (+.f64 (+.f64 c d) (+.f64 b a)))
(*.f64 (cbrt.f64 (+.f64 (+.f64 c d) (+.f64 b a))) (pow.f64 (cbrt.f64 (+.f64 (+.f64 c d) (+.f64 b a))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 c d) (+.f64 b a))) 2) (cbrt.f64 (+.f64 (+.f64 c d) (+.f64 b a))))
(*.f64 (sqrt.f64 (+.f64 (+.f64 c d) (+.f64 b a))) (sqrt.f64 (+.f64 (+.f64 c d) (+.f64 b a))))
(.f64 (+.f64 (pow.f64 (+.f64 b (+.f64 a d)) 3) (pow.f64 c 3)) (/.f64 1 (fma.f64 c c (.f64 (+.f64 b (+.f64 a d)) (-.f64 (+.f64 b (+.f64 a d)) c)))))
(.f64 (-.f64 (.f64 c c) (pow.f64 (+.f64 b (+.f64 a d)) 2)) (/.f64 1 (-.f64 c (+.f64 b (+.f64 a d)))))
(/.f64 1 (/.f64 (fma.f64 c c (*.f64 (+.f64 b (+.f64 a d)) (-.f64 (+.f64 b (+.f64 a d)) c))) (+.f64 (pow.f64 (+.f64 b (+.f64 a d)) 3) (pow.f64 c 3))))
(/.f64 1 (/.f64 (-.f64 c (+.f64 b (+.f64 a d))) (-.f64 (*.f64 c c) (pow.f64 (+.f64 b (+.f64 a d)) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 b (+.f64 a d)) 3) (pow.f64 c 3)) (fma.f64 c c (*.f64 (+.f64 b (+.f64 a d)) (-.f64 (+.f64 b (+.f64 a d)) c))))
(/.f64 (+.f64 (pow.f64 (+.f64 b (+.f64 a d)) 3) (pow.f64 c 3)) (+.f64 (pow.f64 (+.f64 b (+.f64 a d)) 2) (-.f64 (.f64 c c) (.f64 c (+.f64 b (+.f64 a d))))))
(/.f64 (-.f64 (*.f64 c c) (pow.f64 (+.f64 b (+.f64 a d)) 2)) (-.f64 c (+.f64 b (+.f64 a d))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 b (+.f64 a d)) 3) (pow.f64 c 3))) (neg.f64 (fma.f64 c c (*.f64 (+.f64 b (+.f64 a d)) (-.f64 (+.f64 b (+.f64 a d)) c)))))
(/.f64 (neg.f64 (-.f64 (*.f64 c c) (pow.f64 (+.f64 b (+.f64 a d)) 2))) (neg.f64 (-.f64 c (+.f64 b (+.f64 a d)))))
(/.f64 (+.f64 (pow.f64 (+.f64 c b) 3) (pow.f64 (+.f64 a d) 3)) (+.f64 (.f64 (+.f64 c b) (+.f64 c b)) (-.f64 (pow.f64 (+.f64 a d) 2) (.f64 (+.f64 c b) (+.f64 a d)))))
(/.f64 (+.f64 (pow.f64 (+.f64 c (+.f64 d b)) 3) (pow.f64 a 3)) (+.f64 (pow.f64 (+.f64 c (+.f64 d b)) 2) (-.f64 (.f64 a a) (.f64 (+.f64 c (+.f64 d b)) a))))
(/.f64 (-.f64 (pow.f64 (+.f64 b (+.f64 a d)) 2) (*.f64 c c)) (-.f64 (+.f64 b (+.f64 a d)) c))
(/.f64 (fma.f64 (+.f64 c b) (+.f64 c b) (neg.f64 (pow.f64 (+.f64 a d) 2))) (-.f64 (+.f64 c b) (+.f64 a d)))
(/.f64 (-.f64 (pow.f64 (+.f64 c (+.f64 d b)) 2) (*.f64 a a)) (-.f64 (+.f64 c (+.f64 d b)) a))
(pow.f64 (+.f64 (+.f64 c d) (+.f64 b a)) 1)
(pow.f64 (cbrt.f64 (+.f64 (+.f64 c d) (+.f64 b a))) 3)
(pow.f64 (pow.f64 (+.f64 (+.f64 c d) (+.f64 b a)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (+.f64 c d) (+.f64 b a))) 2)
(sqrt.f64 (pow.f64 (+.f64 (+.f64 c d) (+.f64 b a)) 2))
(log.f64 (exp.f64 (+.f64 (+.f64 c d) (+.f64 b a))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (+.f64 c d) (+.f64 b a)))))
(cbrt.f64 (pow.f64 (+.f64 (+.f64 c d) (+.f64 b a)) 3))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 c d) (+.f64 b a))))
(exp.f64 (log.f64 (+.f64 (+.f64 c d) (+.f64 b a))))
(exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 c d) (+.f64 b a))) 1))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 c d) (+.f64 b a))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 c (+.f64 d b))))) 1)
(*.f64 (sqrt.f64 (+.f64 c (+.f64 d b))) 1)
(*.f64 1 (sqrt.f64 (+.f64 c (+.f64 d b))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 c (+.f64 d b)))) (cbrt.f64 (+.f64 c (+.f64 d b))))
(*.f64 (cbrt.f64 (+.f64 c (+.f64 d b))) (cbrt.f64 (sqrt.f64 (+.f64 c (+.f64 d b)))))
(*.f64 (pow.f64 (+.f64 c (+.f64 d b)) 1/4) (pow.f64 (+.f64 c (+.f64 d b)) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 c (+.f64 d b))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 c (+.f64 d b)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 c (+.f64 d b))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 c (+.f64 d b))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 c (+.f64 d b))) 1/2))
(/.f64 (sqrt.f64 (-.f64 (*.f64 b b) (pow.f64 (+.f64 c d) 2))) (sqrt.f64 (-.f64 b (+.f64 c d))))
(/.f64 (hypot.f64 (pow.f64 b 3/2) (pow.f64 (+.f64 c d) 3/2)) (hypot.f64 b (sqrt.f64 (*.f64 (+.f64 c d) (-.f64 (+.f64 c d) b)))))
(pow.f64 (+.f64 c (+.f64 d b)) 1/2)
(pow.f64 (sqrt.f64 (+.f64 c (+.f64 d b))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 c (+.f64 d b)))) 3)
(pow.f64 (pow.f64 (+.f64 c (+.f64 d b)) 3/2) 1/3)
(pow.f64 (pow.f64 (+.f64 c (+.f64 d b)) 1/4) 2)
(fabs.f64 (sqrt.f64 (+.f64 c (+.f64 d b))))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 c (+.f64 d b)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 c (+.f64 d b))))))
(cbrt.f64 (pow.f64 (+.f64 c (+.f64 d b)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 c (+.f64 d b)))))
(hypot.f64 (sqrt.f64 d) (sqrt.f64 (+.f64 c b)))
(hypot.f64 (sqrt.f64 (+.f64 c d)) (sqrt.f64 b))
(hypot.f64 (sqrt.f64 b) (sqrt.f64 (+.f64 c d)))
(hypot.f64 (sqrt.f64 (+.f64 c b)) (sqrt.f64 d))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 c (+.f64 d b)))))
(exp.f64 (*.f64 (log.f64 (+.f64 c (+.f64 d b))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 c (+.f64 d b)))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 c (+.f64 d b)))))

Outputs
(+.f64 a (+.f64 b d))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 (+.f64 b c) d))
(+.f64 a (+.f64 b (+.f64 d c)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 (+.f64 b c) d))
(+.f64 a (+.f64 b (+.f64 d c)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 (+.f64 b c) d))
(+.f64 a (+.f64 b (+.f64 d c)))
c
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 (+.f64 b c) d))
(+.f64 a (+.f64 b (+.f64 d c)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 (+.f64 b c) d))
(+.f64 a (+.f64 b (+.f64 d c)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 (+.f64 b c) d))
(+.f64 a (+.f64 b (+.f64 d c)))
c
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 (+.f64 b c) d))
(+.f64 a (+.f64 b (+.f64 d c)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 (+.f64 b c) d))
(+.f64 a (+.f64 b (+.f64 d c)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 (+.f64 b c) d))
(+.f64 a (+.f64 b (+.f64 d c)))
(+.f64 a (+.f64 c d))
(+.f64 (+.f64 a c) d)
(+.f64 d (+.f64 a c))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 (+.f64 b c) d))
(+.f64 a (+.f64 b (+.f64 d c)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 (+.f64 b c) d))
(+.f64 a (+.f64 b (+.f64 d c)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 (+.f64 b c) d))
(+.f64 a (+.f64 b (+.f64 d c)))
b
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 (+.f64 b c) d))
(+.f64 a (+.f64 b (+.f64 d c)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 (+.f64 b c) d))
(+.f64 a (+.f64 b (+.f64 d c)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 (+.f64 b c) d))
(+.f64 a (+.f64 b (+.f64 d c)))
b
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 (+.f64 b c) d))
(+.f64 a (+.f64 b (+.f64 d c)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 (+.f64 b c) d))
(+.f64 a (+.f64 b (+.f64 d c)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 (+.f64 b c) d))
(+.f64 a (+.f64 b (+.f64 d c)))
(+.f64 b (+.f64 c d))
(+.f64 (+.f64 b c) d)
(+.f64 b (+.f64 d c))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 (+.f64 b c) d))
(+.f64 a (+.f64 b (+.f64 d c)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 (+.f64 b c) d))
(+.f64 a (+.f64 b (+.f64 d c)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 (+.f64 b c) d))
(+.f64 a (+.f64 b (+.f64 d c)))
a
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 (+.f64 b c) d))
(+.f64 a (+.f64 b (+.f64 d c)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 (+.f64 b c) d))
(+.f64 a (+.f64 b (+.f64 d c)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 (+.f64 b c) d))
(+.f64 a (+.f64 b (+.f64 d c)))
a
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 (+.f64 b c) d))
(+.f64 a (+.f64 b (+.f64 d c)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 (+.f64 b c) d))
(+.f64 a (+.f64 b (+.f64 d c)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 (+.f64 b c) d))
(+.f64 a (+.f64 b (+.f64 d c)))
(+.f64 a (+.f64 b c))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 (+.f64 b c) d))
(+.f64 a (+.f64 b (+.f64 d c)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 (+.f64 b c) d))
(+.f64 a (+.f64 b (+.f64 d c)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 (+.f64 b c) d))
(+.f64 a (+.f64 b (+.f64 d c)))
d
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 (+.f64 b c) d))
(+.f64 a (+.f64 b (+.f64 d c)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 (+.f64 b c) d))
(+.f64 a (+.f64 b (+.f64 d c)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 (+.f64 b c) d))
(+.f64 a (+.f64 b (+.f64 d c)))
d
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 (+.f64 b c) d))
(+.f64 a (+.f64 b (+.f64 d c)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 (+.f64 b c) d))
(+.f64 a (+.f64 b (+.f64 d c)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 (+.f64 b c) d))
(+.f64 a (+.f64 b (+.f64 d c)))
(+.f64 a d)
(+.f64 a (+.f64 c d))
(+.f64 (+.f64 a c) d)
(+.f64 d (+.f64 a c))
(+.f64 a (+.f64 c d))
(+.f64 (+.f64 a c) d)
(+.f64 d (+.f64 a c))
(+.f64 a (+.f64 c d))
(+.f64 (+.f64 a c) d)
(+.f64 d (+.f64 a c))
c
(+.f64 a (+.f64 c d))
(+.f64 (+.f64 a c) d)
(+.f64 d (+.f64 a c))
(+.f64 a (+.f64 c d))
(+.f64 (+.f64 a c) d)
(+.f64 d (+.f64 a c))
(+.f64 a (+.f64 c d))
(+.f64 (+.f64 a c) d)
(+.f64 d (+.f64 a c))
c
(+.f64 a (+.f64 c d))
(+.f64 (+.f64 a c) d)
(+.f64 d (+.f64 a c))
(+.f64 a (+.f64 c d))
(+.f64 (+.f64 a c) d)
(+.f64 d (+.f64 a c))
(+.f64 a (+.f64 c d))
(+.f64 (+.f64 a c) d)
(+.f64 d (+.f64 a c))
(+.f64 a c)
(+.f64 a (+.f64 c d))
(+.f64 (+.f64 a c) d)
(+.f64 d (+.f64 a c))
(+.f64 a (+.f64 c d))
(+.f64 (+.f64 a c) d)
(+.f64 d (+.f64 a c))
(+.f64 a (+.f64 c d))
(+.f64 (+.f64 a c) d)
(+.f64 d (+.f64 a c))
d
(+.f64 a (+.f64 c d))
(+.f64 (+.f64 a c) d)
(+.f64 d (+.f64 a c))
(+.f64 a (+.f64 c d))
(+.f64 (+.f64 a c) d)
(+.f64 d (+.f64 a c))
(+.f64 a (+.f64 c d))
(+.f64 (+.f64 a c) d)
(+.f64 d (+.f64 a c))
d
(+.f64 a (+.f64 c d))
(+.f64 (+.f64 a c) d)
(+.f64 d (+.f64 a c))
(+.f64 a (+.f64 c d))
(+.f64 (+.f64 a c) d)
(+.f64 d (+.f64 a c))
(+.f64 a (+.f64 c d))
(+.f64 (+.f64 a c) d)
(+.f64 d (+.f64 a c))
(+.f64 c d)
(+.f64 d c)
(+.f64 a (+.f64 c d))
(+.f64 (+.f64 a c) d)
(+.f64 d (+.f64 a c))
(+.f64 a (+.f64 c d))
(+.f64 (+.f64 a c) d)
(+.f64 d (+.f64 a c))
(+.f64 a (+.f64 c d))
(+.f64 (+.f64 a c) d)
(+.f64 d (+.f64 a c))
a
(+.f64 a (+.f64 c d))
(+.f64 (+.f64 a c) d)
(+.f64 d (+.f64 a c))
(+.f64 a (+.f64 c d))
(+.f64 (+.f64 a c) d)
(+.f64 d (+.f64 a c))
(+.f64 a (+.f64 c d))
(+.f64 (+.f64 a c) d)
(+.f64 d (+.f64 a c))
a
(+.f64 a (+.f64 c d))
(+.f64 (+.f64 a c) d)
(+.f64 d (+.f64 a c))
(+.f64 a (+.f64 c d))
(+.f64 (+.f64 a c) d)
(+.f64 d (+.f64 a c))
(+.f64 a (+.f64 c d))
(+.f64 (+.f64 a c) d)
(+.f64 d (+.f64 a c))
(+.f64 a (+.f64 c d))
(+.f64 (+.f64 a c) d)
(+.f64 d (+.f64 a c))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 (+.f64 b c) d))
(+.f64 a (+.f64 b (+.f64 d c)))
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a
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(+.f64 a (+.f64 (+.f64 b c) d))
(+.f64 a (+.f64 b (+.f64 d c)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 c d) (+.f64 b a))) 2) (cbrt.f64 (+.f64 (+.f64 c d) (+.f64 b a))))
(+.f64 a (+.f64 (+.f64 b c) d))
(+.f64 a (+.f64 b (+.f64 d c)))
(*.f64 (sqrt.f64 (+.f64 (+.f64 c d) (+.f64 b a))) (sqrt.f64 (+.f64 (+.f64 c d) (+.f64 b a))))
(+.f64 a (+.f64 (+.f64 b c) d))
(+.f64 a (+.f64 b (+.f64 d c)))
(.f64 (+.f64 (pow.f64 (+.f64 b (+.f64 a d)) 3) (pow.f64 c 3)) (/.f64 1 (fma.f64 c c (.f64 (+.f64 b (+.f64 a d)) (-.f64 (+.f64 b (+.f64 a d)) c)))))
(/.f64 (.f64 (+.f64 (pow.f64 c 3) (pow.f64 (+.f64 a (+.f64 b d)) 3)) 1) (fma.f64 c c (.f64 (+.f64 a (+.f64 b d)) (+.f64 b (-.f64 (+.f64 a d) c)))))
(/.f64 (+.f64 (pow.f64 c 3) (pow.f64 (+.f64 a (+.f64 b d)) 3)) (fma.f64 c c (*.f64 (+.f64 a (+.f64 b d)) (+.f64 (+.f64 b d) (-.f64 a c)))))
(.f64 (-.f64 (.f64 c c) (pow.f64 (+.f64 b (+.f64 a d)) 2)) (/.f64 1 (-.f64 c (+.f64 b (+.f64 a d)))))
(/.f64 (-.f64 (*.f64 c c) (pow.f64 (+.f64 a (+.f64 b d)) 2)) (-.f64 c (+.f64 a (+.f64 b d))))
(/.f64 (-.f64 (*.f64 c c) (pow.f64 (+.f64 a (+.f64 b d)) 2)) (-.f64 (-.f64 c a) (+.f64 b d)))
(/.f64 (-.f64 (pow.f64 (+.f64 a (+.f64 b d)) 2) (*.f64 c c)) (+.f64 (+.f64 b d) (-.f64 a c)))
(/.f64 1 (/.f64 (fma.f64 c c (*.f64 (+.f64 b (+.f64 a d)) (-.f64 (+.f64 b (+.f64 a d)) c))) (+.f64 (pow.f64 (+.f64 b (+.f64 a d)) 3) (pow.f64 c 3))))
(/.f64 (.f64 (+.f64 (pow.f64 c 3) (pow.f64 (+.f64 a (+.f64 b d)) 3)) 1) (fma.f64 c c (.f64 (+.f64 a (+.f64 b d)) (+.f64 b (-.f64 (+.f64 a d) c)))))
(/.f64 (+.f64 (pow.f64 c 3) (pow.f64 (+.f64 a (+.f64 b d)) 3)) (fma.f64 c c (*.f64 (+.f64 a (+.f64 b d)) (+.f64 (+.f64 b d) (-.f64 a c)))))
(/.f64 1 (/.f64 (-.f64 c (+.f64 b (+.f64 a d))) (-.f64 (*.f64 c c) (pow.f64 (+.f64 b (+.f64 a d)) 2))))
(/.f64 (-.f64 (*.f64 c c) (pow.f64 (+.f64 a (+.f64 b d)) 2)) (-.f64 c (+.f64 a (+.f64 b d))))
(/.f64 (-.f64 (*.f64 c c) (pow.f64 (+.f64 a (+.f64 b d)) 2)) (-.f64 (-.f64 c a) (+.f64 b d)))
(/.f64 (-.f64 (pow.f64 (+.f64 a (+.f64 b d)) 2) (*.f64 c c)) (+.f64 (+.f64 b d) (-.f64 a c)))
(/.f64 (+.f64 (pow.f64 (+.f64 b (+.f64 a d)) 3) (pow.f64 c 3)) (fma.f64 c c (*.f64 (+.f64 b (+.f64 a d)) (-.f64 (+.f64 b (+.f64 a d)) c))))
(/.f64 (.f64 (+.f64 (pow.f64 c 3) (pow.f64 (+.f64 a (+.f64 b d)) 3)) 1) (fma.f64 c c (.f64 (+.f64 a (+.f64 b d)) (+.f64 b (-.f64 (+.f64 a d) c)))))
(/.f64 (+.f64 (pow.f64 c 3) (pow.f64 (+.f64 a (+.f64 b d)) 3)) (fma.f64 c c (*.f64 (+.f64 a (+.f64 b d)) (+.f64 (+.f64 b d) (-.f64 a c)))))
(/.f64 (+.f64 (pow.f64 (+.f64 b (+.f64 a d)) 3) (pow.f64 c 3)) (+.f64 (pow.f64 (+.f64 b (+.f64 a d)) 2) (-.f64 (.f64 c c) (.f64 c (+.f64 b (+.f64 a d))))))
(/.f64 (+.f64 (pow.f64 c 3) (pow.f64 (+.f64 a (+.f64 b d)) 3)) (+.f64 (pow.f64 (+.f64 a (+.f64 b d)) 2) (*.f64 c (-.f64 c (+.f64 a (+.f64 b d))))))
(/.f64 (+.f64 (pow.f64 c 3) (pow.f64 (+.f64 a (+.f64 b d)) 3)) (fma.f64 c (-.f64 (-.f64 c a) (+.f64 b d)) (pow.f64 (+.f64 a (+.f64 b d)) 2)))
(/.f64 (-.f64 (*.f64 c c) (pow.f64 (+.f64 b (+.f64 a d)) 2)) (-.f64 c (+.f64 b (+.f64 a d))))
(/.f64 (-.f64 (*.f64 c c) (pow.f64 (+.f64 a (+.f64 b d)) 2)) (-.f64 c (+.f64 a (+.f64 b d))))
(/.f64 (-.f64 (*.f64 c c) (pow.f64 (+.f64 a (+.f64 b d)) 2)) (-.f64 (-.f64 c a) (+.f64 b d)))
(/.f64 (-.f64 (pow.f64 (+.f64 a (+.f64 b d)) 2) (*.f64 c c)) (+.f64 (+.f64 b d) (-.f64 a c)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 b (+.f64 a d)) 3) (pow.f64 c 3))) (neg.f64 (fma.f64 c c (*.f64 (+.f64 b (+.f64 a d)) (-.f64 (+.f64 b (+.f64 a d)) c)))))
(/.f64 (.f64 (+.f64 (pow.f64 c 3) (pow.f64 (+.f64 a (+.f64 b d)) 3)) 1) (fma.f64 c c (.f64 (+.f64 a (+.f64 b d)) (+.f64 b (-.f64 (+.f64 a d) c)))))
(/.f64 (+.f64 (pow.f64 c 3) (pow.f64 (+.f64 a (+.f64 b d)) 3)) (fma.f64 c c (*.f64 (+.f64 a (+.f64 b d)) (+.f64 (+.f64 b d) (-.f64 a c)))))
(/.f64 (neg.f64 (-.f64 (*.f64 c c) (pow.f64 (+.f64 b (+.f64 a d)) 2))) (neg.f64 (-.f64 c (+.f64 b (+.f64 a d)))))
(/.f64 (-.f64 (*.f64 c c) (pow.f64 (+.f64 a (+.f64 b d)) 2)) (-.f64 c (+.f64 a (+.f64 b d))))
(/.f64 (-.f64 (*.f64 c c) (pow.f64 (+.f64 a (+.f64 b d)) 2)) (-.f64 (-.f64 c a) (+.f64 b d)))
(/.f64 (-.f64 (pow.f64 (+.f64 a (+.f64 b d)) 2) (*.f64 c c)) (+.f64 (+.f64 b d) (-.f64 a c)))
(/.f64 (+.f64 (pow.f64 (+.f64 c b) 3) (pow.f64 (+.f64 a d) 3)) (+.f64 (.f64 (+.f64 c b) (+.f64 c b)) (-.f64 (pow.f64 (+.f64 a d) 2) (.f64 (+.f64 c b) (+.f64 a d)))))
(/.f64 (+.f64 (pow.f64 (+.f64 b c) 3) (pow.f64 (+.f64 a d) 3)) (+.f64 (pow.f64 (+.f64 b c) 2) (-.f64 (pow.f64 (+.f64 a d) 2) (*.f64 (+.f64 a d) (+.f64 b c)))))
(/.f64 (+.f64 (pow.f64 (+.f64 b c) 3) (pow.f64 (+.f64 a d) 3)) (+.f64 (pow.f64 (+.f64 b c) 2) (*.f64 (+.f64 a d) (-.f64 (+.f64 a d) (+.f64 b c)))))
(/.f64 (+.f64 (pow.f64 (+.f64 c (+.f64 d b)) 3) (pow.f64 a 3)) (+.f64 (pow.f64 (+.f64 c (+.f64 d b)) 2) (-.f64 (.f64 a a) (.f64 (+.f64 c (+.f64 d b)) a))))
(/.f64 (+.f64 (pow.f64 (+.f64 (+.f64 b c) d) 3) (pow.f64 a 3)) (+.f64 (pow.f64 (+.f64 (+.f64 b c) d) 2) (*.f64 a (-.f64 a (+.f64 (+.f64 b c) d)))))
(/.f64 (+.f64 (pow.f64 (+.f64 b (+.f64 d c)) 3) (pow.f64 a 3)) (fma.f64 a (-.f64 (-.f64 (-.f64 a c) d) b) (pow.f64 (+.f64 b (+.f64 d c)) 2)))
(/.f64 (-.f64 (pow.f64 (+.f64 b (+.f64 a d)) 2) (*.f64 c c)) (-.f64 (+.f64 b (+.f64 a d)) c))
(/.f64 (-.f64 (*.f64 c c) (pow.f64 (+.f64 a (+.f64 b d)) 2)) (-.f64 c (+.f64 a (+.f64 b d))))
(/.f64 (-.f64 (*.f64 c c) (pow.f64 (+.f64 a (+.f64 b d)) 2)) (-.f64 (-.f64 c a) (+.f64 b d)))
(/.f64 (-.f64 (pow.f64 (+.f64 a (+.f64 b d)) 2) (*.f64 c c)) (+.f64 (+.f64 b d) (-.f64 a c)))
(/.f64 (fma.f64 (+.f64 c b) (+.f64 c b) (neg.f64 (pow.f64 (+.f64 a d) 2))) (-.f64 (+.f64 c b) (+.f64 a d)))
(/.f64 (+.f64 (pow.f64 (+.f64 b c) 2) (neg.f64 (pow.f64 (+.f64 a d) 2))) (+.f64 c (-.f64 b (+.f64 a d))))
(/.f64 (-.f64 (pow.f64 (+.f64 b c) 2) (pow.f64 (+.f64 a d) 2)) (+.f64 c (-.f64 b (+.f64 a d))))
(/.f64 (-.f64 (pow.f64 (+.f64 c (+.f64 d b)) 2) (*.f64 a a)) (-.f64 (+.f64 c (+.f64 d b)) a))
(/.f64 (-.f64 (pow.f64 (+.f64 (+.f64 b c) d) 2) (*.f64 a a)) (+.f64 c (-.f64 (+.f64 b d) a)))
(/.f64 (-.f64 (pow.f64 (+.f64 b (+.f64 d c)) 2) (*.f64 a a)) (+.f64 b (+.f64 d (-.f64 c a))))
(pow.f64 (+.f64 (+.f64 c d) (+.f64 b a)) 1)
(+.f64 a (+.f64 (+.f64 b c) d))
(+.f64 a (+.f64 b (+.f64 d c)))
(pow.f64 (cbrt.f64 (+.f64 (+.f64 c d) (+.f64 b a))) 3)
(+.f64 a (+.f64 (+.f64 b c) d))
(+.f64 a (+.f64 b (+.f64 d c)))
(pow.f64 (pow.f64 (+.f64 (+.f64 c d) (+.f64 b a)) 3) 1/3)
(+.f64 a (+.f64 (+.f64 b c) d))
(+.f64 a (+.f64 b (+.f64 d c)))
(pow.f64 (sqrt.f64 (+.f64 (+.f64 c d) (+.f64 b a))) 2)
(+.f64 a (+.f64 (+.f64 b c) d))
(+.f64 a (+.f64 b (+.f64 d c)))
(sqrt.f64 (pow.f64 (+.f64 (+.f64 c d) (+.f64 b a)) 2))
(+.f64 a (+.f64 (+.f64 b c) d))
(+.f64 a (+.f64 b (+.f64 d c)))
(log.f64 (exp.f64 (+.f64 (+.f64 c d) (+.f64 b a))))
(+.f64 a (+.f64 (+.f64 b c) d))
(+.f64 a (+.f64 b (+.f64 d c)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (+.f64 c d) (+.f64 b a)))))
(+.f64 a (+.f64 (+.f64 b c) d))
(+.f64 a (+.f64 b (+.f64 d c)))
(cbrt.f64 (pow.f64 (+.f64 (+.f64 c d) (+.f64 b a)) 3))
(+.f64 a (+.f64 (+.f64 b c) d))
(+.f64 a (+.f64 b (+.f64 d c)))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 c d) (+.f64 b a))))
(+.f64 a (+.f64 (+.f64 b c) d))
(+.f64 a (+.f64 b (+.f64 d c)))
(exp.f64 (log.f64 (+.f64 (+.f64 c d) (+.f64 b a))))
(+.f64 a (+.f64 (+.f64 b c) d))
(+.f64 a (+.f64 b (+.f64 d c)))
(exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 c d) (+.f64 b a))) 1))
(+.f64 a (+.f64 (+.f64 b c) d))
(+.f64 a (+.f64 b (+.f64 d c)))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 c d) (+.f64 b a))))
(+.f64 a (+.f64 (+.f64 b c) d))
(+.f64 a (+.f64 b (+.f64 d c)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 c (+.f64 d b))))) 1)
(sqrt.f64 (+.f64 (+.f64 b c) d))
(sqrt.f64 (+.f64 b (+.f64 d c)))
(*.f64 (sqrt.f64 (+.f64 c (+.f64 d b))) 1)
(sqrt.f64 (+.f64 (+.f64 b c) d))
(sqrt.f64 (+.f64 b (+.f64 d c)))
(*.f64 1 (sqrt.f64 (+.f64 c (+.f64 d b))))
(sqrt.f64 (+.f64 (+.f64 b c) d))
(sqrt.f64 (+.f64 b (+.f64 d c)))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 c (+.f64 d b)))) (cbrt.f64 (+.f64 c (+.f64 d b))))
(*.f64 (cbrt.f64 (+.f64 (+.f64 b c) d)) (cbrt.f64 (sqrt.f64 (+.f64 (+.f64 b c) d))))
(*.f64 (cbrt.f64 (+.f64 b (+.f64 d c))) (cbrt.f64 (sqrt.f64 (+.f64 b (+.f64 d c)))))
(*.f64 (cbrt.f64 (+.f64 c (+.f64 d b))) (cbrt.f64 (sqrt.f64 (+.f64 c (+.f64 d b)))))
(*.f64 (cbrt.f64 (+.f64 (+.f64 b c) d)) (cbrt.f64 (sqrt.f64 (+.f64 (+.f64 b c) d))))
(*.f64 (cbrt.f64 (+.f64 b (+.f64 d c))) (cbrt.f64 (sqrt.f64 (+.f64 b (+.f64 d c)))))
(*.f64 (pow.f64 (+.f64 c (+.f64 d b)) 1/4) (pow.f64 (+.f64 c (+.f64 d b)) 1/4))
(sqrt.f64 (+.f64 (+.f64 b c) d))
(sqrt.f64 (+.f64 b (+.f64 d c)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 c (+.f64 d b))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 c (+.f64 d b)))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 b c) d)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 (+.f64 b c) d))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 b (+.f64 d c)))) (sqrt.f64 (cbrt.f64 (+.f64 b (+.f64 d c)))))
(*.f64 (cbrt.f64 (+.f64 b (+.f64 d c))) (sqrt.f64 (cbrt.f64 (+.f64 b (+.f64 d c)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 c (+.f64 d b))))
(sqrt.f64 (+.f64 (+.f64 b c) d))
(sqrt.f64 (+.f64 b (+.f64 d c)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 c (+.f64 d b))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 c (+.f64 d b))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 b c) d)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 (+.f64 b c) d))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 b (+.f64 d c)))) (sqrt.f64 (cbrt.f64 (+.f64 b (+.f64 d c)))))
(*.f64 (cbrt.f64 (+.f64 b (+.f64 d c))) (sqrt.f64 (cbrt.f64 (+.f64 b (+.f64 d c)))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 b b) (pow.f64 (+.f64 c d) 2))) (sqrt.f64 (-.f64 b (+.f64 c d))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 b b) (pow.f64 (+.f64 d c) 2))) (sqrt.f64 (-.f64 b (+.f64 d c))))
(/.f64 (hypot.f64 (pow.f64 b 3/2) (pow.f64 (+.f64 c d) 3/2)) (hypot.f64 b (sqrt.f64 (*.f64 (+.f64 c d) (-.f64 (+.f64 c d) b)))))
(/.f64 (hypot.f64 (pow.f64 b 3/2) (pow.f64 (+.f64 d c) 3/2)) (hypot.f64 b (sqrt.f64 (*.f64 (+.f64 d c) (+.f64 c (-.f64 d b))))))
(/.f64 (hypot.f64 (pow.f64 b 3/2) (pow.f64 (+.f64 d c) 3/2)) (hypot.f64 b (sqrt.f64 (*.f64 (+.f64 d c) (-.f64 (+.f64 d c) b)))))
(pow.f64 (+.f64 c (+.f64 d b)) 1/2)
(sqrt.f64 (+.f64 (+.f64 b c) d))
(sqrt.f64 (+.f64 b (+.f64 d c)))
(pow.f64 (sqrt.f64 (+.f64 c (+.f64 d b))) 1)
(sqrt.f64 (+.f64 (+.f64 b c) d))
(sqrt.f64 (+.f64 b (+.f64 d c)))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 c (+.f64 d b)))) 3)
(sqrt.f64 (+.f64 (+.f64 b c) d))
(sqrt.f64 (+.f64 b (+.f64 d c)))
(pow.f64 (pow.f64 (+.f64 c (+.f64 d b)) 3/2) 1/3)
(cbrt.f64 (pow.f64 (+.f64 (+.f64 b c) d) 3/2))
(cbrt.f64 (pow.f64 (+.f64 b (+.f64 d c)) 3/2))
(pow.f64 (pow.f64 (+.f64 c (+.f64 d b)) 1/4) 2)
(sqrt.f64 (+.f64 (+.f64 b c) d))
(sqrt.f64 (+.f64 b (+.f64 d c)))
(fabs.f64 (sqrt.f64 (+.f64 c (+.f64 d b))))
(sqrt.f64 (+.f64 (+.f64 b c) d))
(sqrt.f64 (+.f64 b (+.f64 d c)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 c (+.f64 d b)))))
(sqrt.f64 (+.f64 (+.f64 b c) d))
(sqrt.f64 (+.f64 b (+.f64 d c)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 c (+.f64 d b))))))
(sqrt.f64 (+.f64 (+.f64 b c) d))
(sqrt.f64 (+.f64 b (+.f64 d c)))
(cbrt.f64 (pow.f64 (+.f64 c (+.f64 d b)) 3/2))
(cbrt.f64 (pow.f64 (+.f64 (+.f64 b c) d) 3/2))
(cbrt.f64 (pow.f64 (+.f64 b (+.f64 d c)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 c (+.f64 d b)))))
(sqrt.f64 (+.f64 (+.f64 b c) d))
(sqrt.f64 (+.f64 b (+.f64 d c)))
(hypot.f64 (sqrt.f64 d) (sqrt.f64 (+.f64 c b)))
(sqrt.f64 (+.f64 (+.f64 b c) d))
(sqrt.f64 (+.f64 b (+.f64 d c)))
(hypot.f64 (sqrt.f64 (+.f64 c d)) (sqrt.f64 b))
(sqrt.f64 (+.f64 (+.f64 b c) d))
(sqrt.f64 (+.f64 b (+.f64 d c)))
(hypot.f64 (sqrt.f64 b) (sqrt.f64 (+.f64 c d)))
(sqrt.f64 (+.f64 (+.f64 b c) d))
(sqrt.f64 (+.f64 b (+.f64 d c)))
(hypot.f64 (sqrt.f64 (+.f64 c b)) (sqrt.f64 d))
(sqrt.f64 (+.f64 (+.f64 b c) d))
(sqrt.f64 (+.f64 b (+.f64 d c)))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 c (+.f64 d b)))))
(sqrt.f64 (+.f64 (+.f64 b c) d))
(sqrt.f64 (+.f64 b (+.f64 d c)))
(exp.f64 (*.f64 (log.f64 (+.f64 c (+.f64 d b))) 1/2))
(sqrt.f64 (+.f64 (+.f64 b c) d))
(sqrt.f64 (+.f64 b (+.f64 d c)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 c (+.f64 d b)))) 1))
(sqrt.f64 (+.f64 (+.f64 b c) d))
(sqrt.f64 (+.f64 b (+.f64 d c)))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 c (+.f64 d b)))))
(sqrt.f64 (+.f64 (+.f64 b c) d))
(sqrt.f64 (+.f64 b (+.f64 d c)))

eval568.0ms (8%)

Compiler: Compiled 12644 to 5501 computations (56.5% saved)

prune117.0ms (1.6%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	450	3	453
Fresh	3	1	4
Picked	2	3	5
Done	0	0	0
Total	455	7	462

Accuracy

100.0%

Counts

462 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 (+.f64 (+.f64 c (+.f64 a d)) b) 2)
✓	11.4%	(*.f64 (+.f64 (+.f64 c d) a) 2)
▶	11.4%	(*.f64 (+.f64 (+.f64 a c) d) 2)
✓	11.4%	(*.f64 (+.f64 c (+.f64 a d)) 2)
▶	9.5%	(*.f64 (+.f64 a d) 2)
▶	11.3%	(*.f64 c 2)
✓	6.6%	(*.f64 b 2)
▶	100.0%	(*.f64 (+.f64 (+.f64 c (+.f64 a d)) b) 2)
✓	11.4%	(*.f64 (+.f64 (+.f64 c d) a) 2)
▶	11.4%	(*.f64 (+.f64 (+.f64 a c) d) 2)
✓	11.4%	(*.f64 (+.f64 c (+.f64 a d)) 2)
▶	9.5%	(*.f64 (+.f64 a d) 2)
▶	11.3%	(*.f64 c 2)
✓	6.6%	(*.f64 b 2)

Compiler

Compiled 138 to 104 computations (24.6% saved)

localize65.0ms (0.9%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	98.6%	(+.f64 (+.f64 a c) d)

Compiler

Compiled 69 to 22 computations (68.1% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	a	@	0	(+.f64 (+.f64 a c) d)
0.0ms	a	@	inf	(+.f64 (+.f64 a c) d)
0.0ms	c	@	0	(+.f64 (+.f64 a c) d)
0.0ms	c	@	inf	(+.f64 (+.f64 a c) d)
0.0ms	a	@	-inf	(+.f64 (+.f64 a c) d)

rewrite63.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1980×	`pow1`
1842×	`add-exp-log`
1842×	`log1p-expm1-u`
1842×	`expm1-log1p-u`
178×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	160	13
2	2424	13

Stop Event

1×	node limit

Counts

1 → 39

Calls

Call 1

Inputs
(+.f64 (+.f64 a c) d)

Outputs
(-.f64 (+.f64 1 (+.f64 a (+.f64 c d))) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 a c) 2) (+.f64 a (-.f64 c d))) (/.f64 (*.f64 d d) (+.f64 a (-.f64 c d))))
(*.f64 (+.f64 a (+.f64 c d)) 1)
(*.f64 1 (+.f64 a (+.f64 c d)))
(*.f64 (cbrt.f64 (+.f64 a (+.f64 c d))) (pow.f64 (cbrt.f64 (+.f64 a (+.f64 c d))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 a (+.f64 c d))) 2) (cbrt.f64 (+.f64 a (+.f64 c d))))
(*.f64 (sqrt.f64 (+.f64 a (+.f64 c d))) (sqrt.f64 (+.f64 a (+.f64 c d))))
(.f64 (+.f64 (pow.f64 d 3) (pow.f64 (+.f64 a c) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 a c) 2) (.f64 d (-.f64 d (+.f64 a c))))))
(.f64 (-.f64 (pow.f64 (+.f64 a c) 2) (.f64 d d)) (/.f64 1 (+.f64 a (-.f64 c d))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 a c) 2) (*.f64 d (-.f64 d (+.f64 a c)))) (+.f64 (pow.f64 d 3) (pow.f64 (+.f64 a c) 3))))
(/.f64 1 (/.f64 (+.f64 a (-.f64 c d)) (-.f64 (pow.f64 (+.f64 a c) 2) (*.f64 d d))))
(/.f64 (+.f64 (pow.f64 d 3) (pow.f64 (+.f64 a c) 3)) (+.f64 (pow.f64 (+.f64 a c) 2) (*.f64 d (-.f64 d (+.f64 a c)))))
(/.f64 (+.f64 (pow.f64 d 3) (pow.f64 (+.f64 a c) 3)) (+.f64 (.f64 d d) (-.f64 (pow.f64 (+.f64 a c) 2) (.f64 (+.f64 a c) d))))
(/.f64 (-.f64 (pow.f64 (+.f64 a c) 2) (*.f64 d d)) (+.f64 a (-.f64 c d)))
(/.f64 (neg.f64 (+.f64 (pow.f64 d 3) (pow.f64 (+.f64 a c) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 a c) 2) (*.f64 d (-.f64 d (+.f64 a c))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 a c) 2) (*.f64 d d))) (neg.f64 (+.f64 a (-.f64 c d))))
(/.f64 (+.f64 (pow.f64 a 3) (pow.f64 (+.f64 c d) 3)) (+.f64 (.f64 a a) (-.f64 (.f64 (+.f64 c d) (+.f64 c d)) (*.f64 a (+.f64 c d)))))
(/.f64 (-.f64 (.f64 a a) (.f64 (+.f64 c d) (+.f64 c d))) (-.f64 a (+.f64 c d)))
(/.f64 (-.f64 (*.f64 d d) (pow.f64 (+.f64 a c) 2)) (-.f64 d (+.f64 a c)))
(pow.f64 (+.f64 a (+.f64 c d)) 1)
(pow.f64 (cbrt.f64 (+.f64 a (+.f64 c d))) 3)
(pow.f64 (pow.f64 (+.f64 a (+.f64 c d)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 a (+.f64 c d))) 2)
(sqrt.f64 (pow.f64 (+.f64 a (+.f64 c d)) 2))
(log.f64 (exp.f64 (+.f64 a (+.f64 c d))))
(cbrt.f64 (pow.f64 (+.f64 a (+.f64 c d)) 3))
(expm1.f64 (log1p.f64 (+.f64 a (+.f64 c d))))
(exp.f64 (log.f64 (+.f64 a (+.f64 c d))))
(exp.f64 (*.f64 (log.f64 (+.f64 a (+.f64 c d))) 1))
(log1p.f64 (expm1.f64 (+.f64 a (+.f64 c d))))
(fma.f64 1 a (+.f64 c d))
(fma.f64 1 (+.f64 a c) d)
(fma.f64 1 d (+.f64 a c))
(fma.f64 (pow.f64 (cbrt.f64 d) 2) (cbrt.f64 d) (+.f64 a c))
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (+.f64 c d))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 a c)) 2) (cbrt.f64 (+.f64 a c)) d)
(fma.f64 (sqrt.f64 d) (sqrt.f64 d) (+.f64 a c))
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (+.f64 c d))
(fma.f64 (sqrt.f64 (+.f64 a c)) (sqrt.f64 (+.f64 a c)) d)

simplify72.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1586×	`div-sub`
1086×	`associate-r`
1046×	`associate-l`
756×	`fma-def`
632×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	109	1451
1	302	1401
2	1021	1371
3	6947	1371

Stop Event

1×	node limit

Counts

75 → 59

Calls

Call 1

Inputs
(+.f64 c d)
(+.f64 a (+.f64 c d))
(+.f64 a (+.f64 c d))
(+.f64 a (+.f64 c d))
a
(+.f64 a (+.f64 c d))
(+.f64 a (+.f64 c d))
(+.f64 a (+.f64 c d))
a
(+.f64 a (+.f64 c d))
(+.f64 a (+.f64 c d))
(+.f64 a (+.f64 c d))
(+.f64 a d)
(+.f64 a (+.f64 c d))
(+.f64 a (+.f64 c d))
(+.f64 a (+.f64 c d))
c
(+.f64 a (+.f64 c d))
(+.f64 a (+.f64 c d))
(+.f64 a (+.f64 c d))
c
(+.f64 a (+.f64 c d))
(+.f64 a (+.f64 c d))
(+.f64 a (+.f64 c d))
(+.f64 a c)
(+.f64 a (+.f64 c d))
(+.f64 a (+.f64 c d))
(+.f64 a (+.f64 c d))
d
(+.f64 a (+.f64 c d))
(+.f64 a (+.f64 c d))
(+.f64 a (+.f64 c d))
d
(+.f64 a (+.f64 c d))
(+.f64 a (+.f64 c d))
(+.f64 a (+.f64 c d))
(-.f64 (+.f64 1 (+.f64 a (+.f64 c d))) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 a c) 2) (+.f64 a (-.f64 c d))) (/.f64 (*.f64 d d) (+.f64 a (-.f64 c d))))
(*.f64 (+.f64 a (+.f64 c d)) 1)
(*.f64 1 (+.f64 a (+.f64 c d)))
(*.f64 (cbrt.f64 (+.f64 a (+.f64 c d))) (pow.f64 (cbrt.f64 (+.f64 a (+.f64 c d))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 a (+.f64 c d))) 2) (cbrt.f64 (+.f64 a (+.f64 c d))))
(*.f64 (sqrt.f64 (+.f64 a (+.f64 c d))) (sqrt.f64 (+.f64 a (+.f64 c d))))
(.f64 (+.f64 (pow.f64 d 3) (pow.f64 (+.f64 a c) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 a c) 2) (.f64 d (-.f64 d (+.f64 a c))))))
(.f64 (-.f64 (pow.f64 (+.f64 a c) 2) (.f64 d d)) (/.f64 1 (+.f64 a (-.f64 c d))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 a c) 2) (*.f64 d (-.f64 d (+.f64 a c)))) (+.f64 (pow.f64 d 3) (pow.f64 (+.f64 a c) 3))))
(/.f64 1 (/.f64 (+.f64 a (-.f64 c d)) (-.f64 (pow.f64 (+.f64 a c) 2) (*.f64 d d))))
(/.f64 (+.f64 (pow.f64 d 3) (pow.f64 (+.f64 a c) 3)) (+.f64 (pow.f64 (+.f64 a c) 2) (*.f64 d (-.f64 d (+.f64 a c)))))
(/.f64 (+.f64 (pow.f64 d 3) (pow.f64 (+.f64 a c) 3)) (+.f64 (.f64 d d) (-.f64 (pow.f64 (+.f64 a c) 2) (.f64 (+.f64 a c) d))))
(/.f64 (-.f64 (pow.f64 (+.f64 a c) 2) (*.f64 d d)) (+.f64 a (-.f64 c d)))
(/.f64 (neg.f64 (+.f64 (pow.f64 d 3) (pow.f64 (+.f64 a c) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 a c) 2) (*.f64 d (-.f64 d (+.f64 a c))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 a c) 2) (*.f64 d d))) (neg.f64 (+.f64 a (-.f64 c d))))
(/.f64 (+.f64 (pow.f64 a 3) (pow.f64 (+.f64 c d) 3)) (+.f64 (.f64 a a) (-.f64 (.f64 (+.f64 c d) (+.f64 c d)) (*.f64 a (+.f64 c d)))))
(/.f64 (-.f64 (.f64 a a) (.f64 (+.f64 c d) (+.f64 c d))) (-.f64 a (+.f64 c d)))
(/.f64 (-.f64 (*.f64 d d) (pow.f64 (+.f64 a c) 2)) (-.f64 d (+.f64 a c)))
(pow.f64 (+.f64 a (+.f64 c d)) 1)
(pow.f64 (cbrt.f64 (+.f64 a (+.f64 c d))) 3)
(pow.f64 (pow.f64 (+.f64 a (+.f64 c d)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 a (+.f64 c d))) 2)
(sqrt.f64 (pow.f64 (+.f64 a (+.f64 c d)) 2))
(log.f64 (exp.f64 (+.f64 a (+.f64 c d))))
(cbrt.f64 (pow.f64 (+.f64 a (+.f64 c d)) 3))
(expm1.f64 (log1p.f64 (+.f64 a (+.f64 c d))))
(exp.f64 (log.f64 (+.f64 a (+.f64 c d))))
(exp.f64 (*.f64 (log.f64 (+.f64 a (+.f64 c d))) 1))
(log1p.f64 (expm1.f64 (+.f64 a (+.f64 c d))))
(fma.f64 1 a (+.f64 c d))
(fma.f64 1 (+.f64 a c) d)
(fma.f64 1 d (+.f64 a c))
(fma.f64 (pow.f64 (cbrt.f64 d) 2) (cbrt.f64 d) (+.f64 a c))
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (+.f64 c d))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 a c)) 2) (cbrt.f64 (+.f64 a c)) d)
(fma.f64 (sqrt.f64 d) (sqrt.f64 d) (+.f64 a c))
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (+.f64 c d))
(fma.f64 (sqrt.f64 (+.f64 a c)) (sqrt.f64 (+.f64 a c)) d)

Outputs
(+.f64 c d)
(+.f64 a (+.f64 c d))
(+.f64 (+.f64 c d) a)
(+.f64 c (+.f64 d a))
(+.f64 a (+.f64 c d))
(+.f64 (+.f64 c d) a)
(+.f64 c (+.f64 d a))
(+.f64 a (+.f64 c d))
(+.f64 (+.f64 c d) a)
(+.f64 c (+.f64 d a))
a
(+.f64 a (+.f64 c d))
(+.f64 (+.f64 c d) a)
(+.f64 c (+.f64 d a))
(+.f64 a (+.f64 c d))
(+.f64 (+.f64 c d) a)
(+.f64 c (+.f64 d a))
(+.f64 a (+.f64 c d))
(+.f64 (+.f64 c d) a)
(+.f64 c (+.f64 d a))
a
(+.f64 a (+.f64 c d))
(+.f64 (+.f64 c d) a)
(+.f64 c (+.f64 d a))
(+.f64 a (+.f64 c d))
(+.f64 (+.f64 c d) a)
(+.f64 c (+.f64 d a))
(+.f64 a (+.f64 c d))
(+.f64 (+.f64 c d) a)
(+.f64 c (+.f64 d a))
(+.f64 a d)
(+.f64 d a)
(+.f64 a (+.f64 c d))
(+.f64 (+.f64 c d) a)
(+.f64 c (+.f64 d a))
(+.f64 a (+.f64 c d))
(+.f64 (+.f64 c d) a)
(+.f64 c (+.f64 d a))
(+.f64 a (+.f64 c d))
(+.f64 (+.f64 c d) a)
(+.f64 c (+.f64 d a))
c
(+.f64 a (+.f64 c d))
(+.f64 (+.f64 c d) a)
(+.f64 c (+.f64 d a))
(+.f64 a (+.f64 c d))
(+.f64 (+.f64 c d) a)
(+.f64 c (+.f64 d a))
(+.f64 a (+.f64 c d))
(+.f64 (+.f64 c d) a)
(+.f64 c (+.f64 d a))
c
(+.f64 a (+.f64 c d))
(+.f64 (+.f64 c d) a)
(+.f64 c (+.f64 d a))
(+.f64 a (+.f64 c d))
(+.f64 (+.f64 c d) a)
(+.f64 c (+.f64 d a))
(+.f64 a (+.f64 c d))
(+.f64 (+.f64 c d) a)
(+.f64 c (+.f64 d a))
(+.f64 a c)
(+.f64 c a)
(+.f64 a (+.f64 c d))
(+.f64 (+.f64 c d) a)
(+.f64 c (+.f64 d a))
(+.f64 a (+.f64 c d))
(+.f64 (+.f64 c d) a)
(+.f64 c (+.f64 d a))
(+.f64 a (+.f64 c d))
(+.f64 (+.f64 c d) a)
(+.f64 c (+.f64 d a))
d
(+.f64 a (+.f64 c d))
(+.f64 (+.f64 c d) a)
(+.f64 c (+.f64 d a))
(+.f64 a (+.f64 c d))
(+.f64 (+.f64 c d) a)
(+.f64 c (+.f64 d a))
(+.f64 a (+.f64 c d))
(+.f64 (+.f64 c d) a)
(+.f64 c (+.f64 d a))
d
(+.f64 a (+.f64 c d))
(+.f64 (+.f64 c d) a)
(+.f64 c (+.f64 d a))
(+.f64 a (+.f64 c d))
(+.f64 (+.f64 c d) a)
(+.f64 c (+.f64 d a))
(+.f64 a (+.f64 c d))
(+.f64 (+.f64 c d) a)
(+.f64 c (+.f64 d a))
(-.f64 (+.f64 1 (+.f64 a (+.f64 c d))) 1)
(+.f64 (+.f64 c d) a)
(+.f64 c (+.f64 d a))
(-.f64 (/.f64 (pow.f64 (+.f64 a c) 2) (+.f64 a (-.f64 c d))) (/.f64 (*.f64 d d) (+.f64 a (-.f64 c d))))
(/.f64 (-.f64 (pow.f64 (+.f64 c a) 2) (*.f64 d d)) (+.f64 a (-.f64 c d)))
(/.f64 (-.f64 (*.f64 d d) (pow.f64 (+.f64 c a) 2)) (-.f64 d (+.f64 c a)))
(*.f64 (+.f64 a (+.f64 c d)) 1)
(+.f64 (+.f64 c d) a)
(+.f64 c (+.f64 d a))
(*.f64 1 (+.f64 a (+.f64 c d)))
(+.f64 (+.f64 c d) a)
(+.f64 c (+.f64 d a))
(*.f64 (cbrt.f64 (+.f64 a (+.f64 c d))) (pow.f64 (cbrt.f64 (+.f64 a (+.f64 c d))) 2))
(+.f64 (+.f64 c d) a)
(+.f64 c (+.f64 d a))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 a (+.f64 c d))) 2) (cbrt.f64 (+.f64 a (+.f64 c d))))
(+.f64 (+.f64 c d) a)
(+.f64 c (+.f64 d a))
(*.f64 (sqrt.f64 (+.f64 a (+.f64 c d))) (sqrt.f64 (+.f64 a (+.f64 c d))))
(+.f64 (+.f64 c d) a)
(+.f64 c (+.f64 d a))
(.f64 (+.f64 (pow.f64 d 3) (pow.f64 (+.f64 a c) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 a c) 2) (.f64 d (-.f64 d (+.f64 a c))))))
(/.f64 (.f64 (+.f64 (pow.f64 d 3) (pow.f64 (+.f64 c a) 3)) 1) (+.f64 (pow.f64 (+.f64 c a) 2) (.f64 d (-.f64 (-.f64 d a) c))))
(/.f64 (+.f64 (pow.f64 d 3) (pow.f64 (+.f64 c a) 3)) (fma.f64 d (-.f64 d (+.f64 c a)) (pow.f64 (+.f64 c a) 2)))
(/.f64 (+.f64 (pow.f64 d 3) (pow.f64 (+.f64 c a) 3)) (fma.f64 d d (*.f64 (+.f64 c a) (+.f64 c (-.f64 a d)))))
(.f64 (-.f64 (pow.f64 (+.f64 a c) 2) (.f64 d d)) (/.f64 1 (+.f64 a (-.f64 c d))))
(/.f64 (-.f64 (pow.f64 (+.f64 c a) 2) (*.f64 d d)) (+.f64 a (-.f64 c d)))
(/.f64 (-.f64 (*.f64 d d) (pow.f64 (+.f64 c a) 2)) (-.f64 d (+.f64 c a)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 a c) 2) (*.f64 d (-.f64 d (+.f64 a c)))) (+.f64 (pow.f64 d 3) (pow.f64 (+.f64 a c) 3))))
(/.f64 (.f64 (+.f64 (pow.f64 d 3) (pow.f64 (+.f64 c a) 3)) 1) (+.f64 (pow.f64 (+.f64 c a) 2) (.f64 d (-.f64 (-.f64 d a) c))))
(/.f64 (+.f64 (pow.f64 d 3) (pow.f64 (+.f64 c a) 3)) (fma.f64 d (-.f64 d (+.f64 c a)) (pow.f64 (+.f64 c a) 2)))
(/.f64 (+.f64 (pow.f64 d 3) (pow.f64 (+.f64 c a) 3)) (fma.f64 d d (*.f64 (+.f64 c a) (+.f64 c (-.f64 a d)))))
(/.f64 1 (/.f64 (+.f64 a (-.f64 c d)) (-.f64 (pow.f64 (+.f64 a c) 2) (*.f64 d d))))
(/.f64 (-.f64 (pow.f64 (+.f64 c a) 2) (*.f64 d d)) (+.f64 a (-.f64 c d)))
(/.f64 (-.f64 (*.f64 d d) (pow.f64 (+.f64 c a) 2)) (-.f64 d (+.f64 c a)))
(/.f64 (+.f64 (pow.f64 d 3) (pow.f64 (+.f64 a c) 3)) (+.f64 (pow.f64 (+.f64 a c) 2) (*.f64 d (-.f64 d (+.f64 a c)))))
(/.f64 (.f64 (+.f64 (pow.f64 d 3) (pow.f64 (+.f64 c a) 3)) 1) (+.f64 (pow.f64 (+.f64 c a) 2) (.f64 d (-.f64 (-.f64 d a) c))))
(/.f64 (+.f64 (pow.f64 d 3) (pow.f64 (+.f64 c a) 3)) (fma.f64 d (-.f64 d (+.f64 c a)) (pow.f64 (+.f64 c a) 2)))
(/.f64 (+.f64 (pow.f64 d 3) (pow.f64 (+.f64 c a) 3)) (fma.f64 d d (*.f64 (+.f64 c a) (+.f64 c (-.f64 a d)))))
(/.f64 (+.f64 (pow.f64 d 3) (pow.f64 (+.f64 a c) 3)) (+.f64 (.f64 d d) (-.f64 (pow.f64 (+.f64 a c) 2) (.f64 (+.f64 a c) d))))
(/.f64 (.f64 (+.f64 (pow.f64 d 3) (pow.f64 (+.f64 c a) 3)) 1) (+.f64 (pow.f64 (+.f64 c a) 2) (.f64 d (-.f64 (-.f64 d a) c))))
(/.f64 (+.f64 (pow.f64 d 3) (pow.f64 (+.f64 c a) 3)) (fma.f64 d (-.f64 d (+.f64 c a)) (pow.f64 (+.f64 c a) 2)))
(/.f64 (+.f64 (pow.f64 d 3) (pow.f64 (+.f64 c a) 3)) (fma.f64 d d (*.f64 (+.f64 c a) (+.f64 c (-.f64 a d)))))
(/.f64 (-.f64 (pow.f64 (+.f64 a c) 2) (*.f64 d d)) (+.f64 a (-.f64 c d)))
(/.f64 (-.f64 (pow.f64 (+.f64 c a) 2) (*.f64 d d)) (+.f64 a (-.f64 c d)))
(/.f64 (-.f64 (*.f64 d d) (pow.f64 (+.f64 c a) 2)) (-.f64 d (+.f64 c a)))
(/.f64 (neg.f64 (+.f64 (pow.f64 d 3) (pow.f64 (+.f64 a c) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 a c) 2) (*.f64 d (-.f64 d (+.f64 a c))))))
(/.f64 (.f64 (+.f64 (pow.f64 d 3) (pow.f64 (+.f64 c a) 3)) 1) (+.f64 (pow.f64 (+.f64 c a) 2) (.f64 d (-.f64 (-.f64 d a) c))))
(/.f64 (+.f64 (pow.f64 d 3) (pow.f64 (+.f64 c a) 3)) (fma.f64 d (-.f64 d (+.f64 c a)) (pow.f64 (+.f64 c a) 2)))
(/.f64 (+.f64 (pow.f64 d 3) (pow.f64 (+.f64 c a) 3)) (fma.f64 d d (*.f64 (+.f64 c a) (+.f64 c (-.f64 a d)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 a c) 2) (*.f64 d d))) (neg.f64 (+.f64 a (-.f64 c d))))
(/.f64 (-.f64 (pow.f64 (+.f64 c a) 2) (*.f64 d d)) (+.f64 a (-.f64 c d)))
(/.f64 (-.f64 (*.f64 d d) (pow.f64 (+.f64 c a) 2)) (-.f64 d (+.f64 c a)))
(/.f64 (+.f64 (pow.f64 a 3) (pow.f64 (+.f64 c d) 3)) (+.f64 (.f64 a a) (-.f64 (.f64 (+.f64 c d) (+.f64 c d)) (*.f64 a (+.f64 c d)))))
(/.f64 (+.f64 (pow.f64 a 3) (pow.f64 (+.f64 c d) 3)) (fma.f64 a a (*.f64 (+.f64 c d) (-.f64 (+.f64 c d) a))))
(/.f64 (+.f64 (pow.f64 a 3) (pow.f64 (+.f64 c d) 3)) (fma.f64 (+.f64 c d) (+.f64 c (-.f64 d a)) (*.f64 a a)))
(/.f64 (-.f64 (.f64 a a) (.f64 (+.f64 c d) (+.f64 c d))) (-.f64 a (+.f64 c d)))
(/.f64 (+.f64 c (+.f64 d a)) (/.f64 (-.f64 a (+.f64 c d)) (-.f64 a (+.f64 c d))))
(/.f64 (+.f64 c (+.f64 d a)) 1)
(/.f64 (-.f64 (*.f64 d d) (pow.f64 (+.f64 a c) 2)) (-.f64 d (+.f64 a c)))
(/.f64 (-.f64 (pow.f64 (+.f64 c a) 2) (*.f64 d d)) (+.f64 a (-.f64 c d)))
(/.f64 (-.f64 (*.f64 d d) (pow.f64 (+.f64 c a) 2)) (-.f64 d (+.f64 c a)))
(pow.f64 (+.f64 a (+.f64 c d)) 1)
(+.f64 (+.f64 c d) a)
(+.f64 c (+.f64 d a))
(pow.f64 (cbrt.f64 (+.f64 a (+.f64 c d))) 3)
(+.f64 (+.f64 c d) a)
(+.f64 c (+.f64 d a))
(pow.f64 (pow.f64 (+.f64 a (+.f64 c d)) 3) 1/3)
(+.f64 (+.f64 c d) a)
(+.f64 c (+.f64 d a))
(pow.f64 (sqrt.f64 (+.f64 a (+.f64 c d))) 2)
(+.f64 (+.f64 c d) a)
(+.f64 c (+.f64 d a))
(sqrt.f64 (pow.f64 (+.f64 a (+.f64 c d)) 2))
(+.f64 (+.f64 c d) a)
(+.f64 c (+.f64 d a))
(log.f64 (exp.f64 (+.f64 a (+.f64 c d))))
(+.f64 (+.f64 c d) a)
(+.f64 c (+.f64 d a))
(cbrt.f64 (pow.f64 (+.f64 a (+.f64 c d)) 3))
(+.f64 (+.f64 c d) a)
(+.f64 c (+.f64 d a))
(expm1.f64 (log1p.f64 (+.f64 a (+.f64 c d))))
(+.f64 (+.f64 c d) a)
(+.f64 c (+.f64 d a))
(exp.f64 (log.f64 (+.f64 a (+.f64 c d))))
(+.f64 (+.f64 c d) a)
(+.f64 c (+.f64 d a))
(exp.f64 (*.f64 (log.f64 (+.f64 a (+.f64 c d))) 1))
(+.f64 (+.f64 c d) a)
(+.f64 c (+.f64 d a))
(log1p.f64 (expm1.f64 (+.f64 a (+.f64 c d))))
(+.f64 (+.f64 c d) a)
(+.f64 c (+.f64 d a))
(fma.f64 1 a (+.f64 c d))
(+.f64 (+.f64 c d) a)
(+.f64 c (+.f64 d a))
(fma.f64 1 (+.f64 a c) d)
(+.f64 (+.f64 c d) a)
(+.f64 c (+.f64 d a))
(fma.f64 1 d (+.f64 a c))
(+.f64 (+.f64 c d) a)
(+.f64 c (+.f64 d a))
(fma.f64 (pow.f64 (cbrt.f64 d) 2) (cbrt.f64 d) (+.f64 a c))
(+.f64 (+.f64 c d) a)
(+.f64 c (+.f64 d a))
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (+.f64 c d))
(+.f64 (+.f64 c d) a)
(+.f64 c (+.f64 d a))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 a c)) 2) (cbrt.f64 (+.f64 a c)) d)
(+.f64 (+.f64 c d) a)
(+.f64 c (+.f64 d a))
(fma.f64 (sqrt.f64 d) (sqrt.f64 d) (+.f64 a c))
(+.f64 (+.f64 c d) a)
(+.f64 c (+.f64 d a))
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (+.f64 c d))
(+.f64 (+.f64 c d) a)
(+.f64 c (+.f64 d a))
(fma.f64 (sqrt.f64 (+.f64 a c)) (sqrt.f64 (+.f64 a c)) d)
(+.f64 (+.f64 c d) a)
(+.f64 c (+.f64 d a))

eval18.0ms (0.2%)

Compiler: Compiled 818 to 364 computations (55.5% saved)

prune14.0ms (0.2%)

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	0	0
Picked	0	4	4
Done	0	3	3
Total	59	7	66

Accuracy

100.0%

Counts

66 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (+.f64 (+.f64 c (+.f64 a d)) b) 2)
✓	11.4%	(*.f64 (+.f64 (+.f64 c d) a) 2)
✓	11.4%	(*.f64 (+.f64 (+.f64 a c) d) 2)
✓	11.4%	(*.f64 (+.f64 c (+.f64 a d)) 2)
✓	9.5%	(*.f64 (+.f64 a d) 2)
✓	11.3%	(*.f64 c 2)
✓	6.6%	(*.f64 b 2)

Compiler

Compiled 215 to 115 computations (46.5% saved)

regimes76.0ms (1.1%)

Counts

14 → 1

Calls

Call 1

Inputs
(*.f64 b 2)
(*.f64 c 2)
(*.f64 (+.f64 a d) 2)
(*.f64 (+.f64 c (+.f64 a d)) 2)
(*.f64 (+.f64 d (+.f64 c a)) 2)
(*.f64 (+.f64 (+.f64 a c) d) 2)
(*.f64 (+.f64 (+.f64 c d) a) 2)
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) 2)
(*.f64 (+.f64 c (+.f64 b (+.f64 a d))) 2)
(*.f64 (+.f64 d (+.f64 b (+.f64 a c))) 2)
(*.f64 (+.f64 (+.f64 c (+.f64 a d)) b) 2)
(.f64 (/.f64 (-.f64 (pow.f64 (+.f64 b (+.f64 c d)) 2) (.f64 a a)) (-.f64 (+.f64 b (+.f64 c d)) a)) 2)
(*.f64 (fma.f64 (sqrt.f64 (+.f64 b (+.f64 c d))) (sqrt.f64 (+.f64 b (+.f64 c d))) a) 2)
(.f64 (/.f64 (+.f64 (pow.f64 (+.f64 b (+.f64 c d)) 3) (pow.f64 a 3)) (fma.f64 a a (.f64 (+.f64 b (+.f64 c d)) (-.f64 (+.f64 b (+.f64 c d)) a)))) 2)

Outputs
(*.f64 (+.f64 (+.f64 c (+.f64 a d)) b) 2)

Calls

8 calls:

10.0ms	c
9.0ms	a
9.0ms	(+.f64 b (+.f64 c d))
9.0ms	(+.f64 a (+.f64 b (+.f64 c d)))
9.0ms	(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) 2)

Results

Accuracy	Segments	Branch
100.0%	1	`a`
100.0%	1	`b`
100.0%	1	`c`
100.0%	1	`d`
100.0%	1	`(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) 2)`
100.0%	1	`(+.f64 a (+.f64 b (+.f64 c d)))`
100.0%	1	`(+.f64 b (+.f64 c d))`
100.0%	1	`(+.f64 c d)`

Compiler

Compiled 206 to 106 computations (48.5% saved)

regimes66.0ms (0.9%)

Counts

10 → 1

Calls

Call 1

Inputs
(*.f64 b 2)
(*.f64 c 2)
(*.f64 (+.f64 a d) 2)
(*.f64 (+.f64 c (+.f64 a d)) 2)
(*.f64 (+.f64 d (+.f64 c a)) 2)
(*.f64 (+.f64 (+.f64 a c) d) 2)
(*.f64 (+.f64 (+.f64 c d) a) 2)
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) 2)
(*.f64 (+.f64 c (+.f64 b (+.f64 a d))) 2)
(*.f64 (+.f64 d (+.f64 b (+.f64 a c))) 2)

Outputs
(*.f64 (+.f64 c (+.f64 b (+.f64 a d))) 2)

Calls

8 calls:

12.0ms	(+.f64 a (+.f64 b (+.f64 c d)))
10.0ms	d
8.0ms	b
7.0ms	(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) 2)
7.0ms	(+.f64 c d)

Results

Accuracy	Segments	Branch
100.0%	1	`a`
100.0%	1	`b`
100.0%	1	`c`
100.0%	1	`d`
100.0%	1	`(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) 2)`
100.0%	1	`(+.f64 a (+.f64 b (+.f64 c d)))`
100.0%	1	`(+.f64 b (+.f64 c d))`
100.0%	1	`(+.f64 c d)`

Compiler

Compiled 130 to 81 computations (37.7% saved)

regimes118.0ms (1.7%)

Counts

8 → 1

Calls

Call 1

Inputs
(*.f64 b 2)
(*.f64 c 2)
(*.f64 (+.f64 a d) 2)
(*.f64 (+.f64 c (+.f64 a d)) 2)
(*.f64 (+.f64 d (+.f64 c a)) 2)
(*.f64 (+.f64 (+.f64 a c) d) 2)
(*.f64 (+.f64 (+.f64 c d) a) 2)
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) 2)

Outputs
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) 2)

Calls

8 calls:

71.0ms	b
8.0ms	(+.f64 c d)
7.0ms	(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) 2)
6.0ms	(+.f64 a (+.f64 b (+.f64 c d)))
6.0ms	(+.f64 b (+.f64 c d))

Results

Accuracy	Segments	Branch
94.2%	1	`a`
94.2%	1	`b`
94.2%	1	`c`
94.2%	1	`d`
94.2%	1	`(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) 2)`
94.2%	1	`(+.f64 a (+.f64 b (+.f64 c d)))`
94.2%	1	`(+.f64 b (+.f64 c d))`
94.2%	1	`(+.f64 c d)`

Compiler

Compiled 112 to 73 computations (34.8% saved)

regimes110.0ms (1.5%)

Counts

7 → 2

Calls

Call 1

Inputs
(*.f64 b 2)
(*.f64 c 2)
(*.f64 (+.f64 a d) 2)
(*.f64 (+.f64 c (+.f64 a d)) 2)
(*.f64 (+.f64 d (+.f64 c a)) 2)
(*.f64 (+.f64 (+.f64 a c) d) 2)
(*.f64 (+.f64 (+.f64 c d) a) 2)

Outputs
(*.f64 (+.f64 a d) 2)
(*.f64 (+.f64 c (+.f64 a d)) 2)

Calls

5 calls:

62.0ms	(+.f64 c d)
15.0ms	d
13.0ms	c
10.0ms	b
7.0ms	a

Results

Accuracy	Segments	Branch
11.4%	1	`a`
13.3%	2	`d`
13.9%	2	`b`
11.4%	1	`c`
13.8%	2	`(+.f64 c d)`

Compiler

Compiled 70 to 47 computations (32.9% saved)

regimes18.0ms (0.2%)

Counts

3 → 2

Calls

Call 1

Inputs
(*.f64 b 2)
(*.f64 c 2)
(*.f64 (+.f64 a d) 2)

Outputs
(*.f64 (+.f64 a d) 2)
(*.f64 c 2)

Calls

1 calls:

16.0ms

Results

Accuracy	Segments	Branch
13.8%	2	`b`

Compiler

Compiled 20 to 15 computations (25% saved)

regimes14.0ms (0.2%)

Counts

2 → 1

Calls

Call 1

Inputs
(*.f64 b 2)
(*.f64 c 2)

Outputs
(*.f64 c 2)

Calls

4 calls:

3.0ms	b
3.0ms	c
3.0ms	a
3.0ms	d

Results

Accuracy	Segments	Branch
11.3%	1	`c`
11.3%	1	`a`
11.3%	1	`d`
11.3%	1	`b`

Compiler

Compiled 30 to 24 computations (20% saved)

regimes13.0ms (0.2%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 b 2)

Outputs
(*.f64 b 2)

Calls

4 calls:

4.0ms	c
3.0ms	d
3.0ms	b
3.0ms	a

Results

Accuracy	Segments	Branch
6.6%	1	`a`
6.6%	1	`d`
6.6%	1	`b`
6.6%	1	`c`

Compiler

Compiled 27 to 22 computations (18.5% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	-2.5889512040767855	-2.5878050071484866

Compiler

Compiled 20 to 15 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	-2.5889512040767855	-2.5878050071484866

Compiler

Compiled 20 to 15 computations (25% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

16×	`+-commutative`
14×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	159
1	44	159

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(*.f64 (+.f64 (+.f64 c (+.f64 a d)) b) 2)
(*.f64 (+.f64 c (+.f64 b (+.f64 a d))) 2)
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) 2)
(if (<=.f64 b -2913828958908711/1125899906842624) (.f64 (+.f64 a d) 2) (.f64 (+.f64 c (+.f64 a d)) 2))
(if (<=.f64 b -2913828958908711/1125899906842624) (.f64 (+.f64 a d) 2) (.f64 c 2))
(*.f64 c 2)
(*.f64 b 2)

Outputs
(*.f64 (+.f64 (+.f64 c (+.f64 a d)) b) 2)
(*.f64 (+.f64 c (+.f64 b (+.f64 a d))) 2)
(*.f64 2 (+.f64 c (+.f64 (+.f64 a d) b)))
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) 2)
(*.f64 2 (+.f64 a (+.f64 b (+.f64 c d))))
(if (<=.f64 b -2913828958908711/1125899906842624) (.f64 (+.f64 a d) 2) (.f64 (+.f64 c (+.f64 a d)) 2))
(if (<=.f64 b -2913828958908711/1125899906842624) (.f64 (+.f64 a d) 2) (.f64 c 2))
(*.f64 c 2)
(*.f64 b 2)

Compiler

Compiled 89 to 64 computations (28.1% saved)

soundness1.4s (19.6%)

Rules

2014×	`unsub-neg`
1530×	`fma-def`
1452×	`fma-neg`
1406×	`log-prod`
1308×	`associate-+l-`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	64
1	301	64
2	5272	64
0	16	68
1	377	68
2	6017	68
0	505	9817
1	1391	9625
2	4813	9565
0	505	9817
1	1391	9625
2	4813	9565
0	52	312
1	128	300
2	381	300
3	1165	300
4	2501	300
5	4122	300
6	5962	300
7	6824	300
8	7356	300
9	7439	300
10	7444	300
11	7444	300
12	7444	300
13	7445	300
14	7445	300
0	505	9817
1	1391	9625
2	4813	9565

Stop Event

1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 465 to 223 computations (52% saved)

end0.0ms (0%)

preprocess120.0ms (1.7%)

Remove: (sort a b c d)
Compiler: Compiled 212 to 130 computations (38.7% saved)

analyze1.0ms (0%)

sample2.2s (30.5%)

preprocess672.0ms (9.4%)

eval2.0ms (0%)

prune7.0ms (0.1%)

localize115.0ms (1.6%)

series7.0ms (0.1%)

rewrite109.0ms (1.5%)

simplify515.0ms (7.2%)

eval129.0ms (1.8%)

prune90.0ms (1.3%)

localize153.0ms (2.1%)

series59.0ms (0.8%)

rewrite112.0ms (1.6%)

simplify123.0ms (1.7%)

eval568.0ms (8%)

prune117.0ms (1.6%)

localize65.0ms (0.9%)

series1.0ms (0%)

rewrite63.0ms (0.9%)

simplify72.0ms (1%)

eval18.0ms (0.2%)

prune14.0ms (0.2%)

regimes76.0ms (1.1%)

regimes66.0ms (0.9%)

regimes118.0ms (1.7%)

regimes110.0ms (1.5%)

regimes18.0ms (0.2%)

regimes14.0ms (0.2%)

regimes13.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify7.0ms (0.1%)

soundness1.4s (19.6%)

end0.0ms (0%)

preprocess120.0ms (1.7%)

Profiling