Details

analyze344.0ms (2.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
3.1%	96.6%	0.2%	11
4.7%	95.1%	0.2%	12

Compiler

Compiled 15 to 10 computations (33.3% saved)

sample2.9s (22.1%)

Results

2.4s	8256×	body	256	valid
492.0ms	2769×	body	256	invalid

preprocess88.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

811×	`div-sub_binary64`
499×	`sub-neg_binary64`
355×	`fma-neg_binary64`
315×	`distribute-rgt-neg-in_binary64`
293×	`unsub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	143
1	112	143
2	283	143
3	926	133
4	3020	121
5	6107	121
0	5	5

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2
3
4

Outputs
0
1
2
3
4

Call 2

Inputs
(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
(-.f64 y (/.f64 (*.f64 x (-.f64 z t)) a))
(-.f64 z (/.f64 (*.f64 y (-.f64 x t)) a))
(-.f64 t (/.f64 (*.f64 y (-.f64 z x)) a))
(-.f64 a (/.f64 (*.f64 y (-.f64 z t)) x))
(-.f64 x (/.f64 (*.f64 z (-.f64 y t)) a))
(-.f64 x (/.f64 (*.f64 t (-.f64 z y)) a))
(-.f64 x (/.f64 (*.f64 a (-.f64 z t)) y))
(-.f64 x (/.f64 (*.f64 y (-.f64 t z)) a))
(-.f64 x (/.f64 (*.f64 y (-.f64 a t)) z))
(-.f64 x (/.f64 (*.f64 y (-.f64 z a)) t))

Outputs
(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
(-.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
(-.f64 x (*.f64 (/.f64 y a) (-.f64 z t)))
(-.f64 x (*.f64 (-.f64 z t) (/.f64 y a)))
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(-.f64 y (/.f64 (*.f64 x (-.f64 z t)) a))
(-.f64 y (/.f64 x (/.f64 a (-.f64 z t))))
(-.f64 y (*.f64 (/.f64 x a) (-.f64 z t)))
(-.f64 y (*.f64 (-.f64 z t) (/.f64 x a)))
(fma.f64 (/.f64 x a) (-.f64 t z) y)
(-.f64 z (/.f64 (*.f64 y (-.f64 x t)) a))
(-.f64 z (/.f64 y (/.f64 a (-.f64 x t))))
(-.f64 z (*.f64 (/.f64 y a) (-.f64 x t)))
(-.f64 z (*.f64 (-.f64 x t) (/.f64 y a)))
(fma.f64 (/.f64 (neg.f64 y) a) (-.f64 x t) z)
(fma.f64 (/.f64 y a) (-.f64 t x) z)
(-.f64 t (/.f64 (*.f64 y (-.f64 z x)) a))
(-.f64 t (*.f64 (/.f64 y a) (-.f64 z x)))
(-.f64 t (*.f64 (-.f64 z x) (/.f64 y a)))
(fma.f64 (/.f64 (neg.f64 y) a) (-.f64 z x) t)
(fma.f64 (/.f64 y a) (-.f64 x z) t)
(-.f64 a (/.f64 (*.f64 y (-.f64 z t)) x))
(-.f64 a (/.f64 y (/.f64 x (-.f64 z t))))
(-.f64 a (*.f64 (/.f64 y x) (-.f64 z t)))
(-.f64 a (*.f64 (-.f64 z t) (/.f64 y x)))
(fma.f64 (/.f64 y x) (-.f64 t z) a)
(-.f64 x (/.f64 (*.f64 z (-.f64 y t)) a))
(-.f64 x (/.f64 z (/.f64 a (-.f64 y t))))
(-.f64 x (*.f64 (/.f64 z a) (-.f64 y t)))
(-.f64 x (*.f64 (/.f64 (-.f64 y t) a) z))
(-.f64 x (*.f64 z (/.f64 (-.f64 y t) a)))
(fma.f64 (/.f64 z a) (-.f64 t y) x)
(-.f64 x (/.f64 (*.f64 t (-.f64 z y)) a))
(-.f64 x (/.f64 t (/.f64 a (-.f64 z y))))
(-.f64 x (*.f64 (/.f64 t a) (-.f64 z y)))
(-.f64 x (*.f64 (-.f64 z y) (/.f64 t a)))
(fma.f64 (/.f64 (neg.f64 t) a) (-.f64 z y) x)
(fma.f64 (/.f64 t a) (-.f64 y z) x)
(-.f64 x (/.f64 (*.f64 a (-.f64 z t)) y))
(-.f64 x (/.f64 (*.f64 (-.f64 z t) a) y))
(-.f64 x (*.f64 (/.f64 a y) (-.f64 z t)))
(-.f64 x (*.f64 (-.f64 z t) (/.f64 a y)))
(fma.f64 (/.f64 a y) (-.f64 t z) x)
(-.f64 x (/.f64 (*.f64 y (-.f64 t z)) a))
(-.f64 x (*.f64 (/.f64 y a) (-.f64 t z)))
(-.f64 x (*.f64 (-.f64 t z) (/.f64 y a)))
(fma.f64 (/.f64 y a) (-.f64 z t) x)
(-.f64 x (/.f64 (*.f64 y (-.f64 a t)) z))
(-.f64 x (/.f64 (-.f64 a t) (/.f64 z y)))
(-.f64 x (*.f64 (-.f64 a t) (/.f64 y z)))
(-.f64 x (*.f64 y (/.f64 (-.f64 a t) z)))
(fma.f64 (/.f64 y z) (-.f64 t a) x)
(-.f64 x (/.f64 (*.f64 y (-.f64 z a)) t))
(-.f64 x (*.f64 (/.f64 y t) (-.f64 z a)))
(-.f64 x (*.f64 (-.f64 z a) (/.f64 y t)))
(-.f64 x (*.f64 y (/.f64 (-.f64 z a) t)))
(fma.f64 (/.f64 y t) (-.f64 a z) x)

Compiler

Compiled 19 to 14 computations (26.3% saved)

simplify118.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

783×	`fma-neg_binary64`
717×	`fma-def_binary64`
245×	`cancel-sign-sub-inv_binary64`
181×	`distribute-rgt-in_binary64`
139×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	17	13
2	39	13
3	107	13
4	327	11
5	879	11
6	1902	11
7	3302	11
8	3989	11
9	4045	11
10	4075	11
11	4080	11
12	4080	11

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))

Outputs
(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
(-.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
(-.f64 x (*.f64 (/.f64 y a) (-.f64 z t)))
(-.f64 x (*.f64 (-.f64 z t) (/.f64 y a)))
(-.f64 x (*.f64 y (/.f64 (-.f64 z t) a)))
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 y (/.f64 (-.f64 t z) a) x)

eval1.0ms (0%)

Compiler: Compiled 22 to 12 computations (45.5% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	6.6b	(fma.f64 y (/.f64 (-.f64 t z) a) x)
▶	8.5b	(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))

Compiler

Compiled 27 to 17 computations (37% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
✓	0.0b	(*.f64 y (-.f64 z t))
✓	9.1b	(/.f64 (*.f64 y (-.f64 z t)) a)

Compiler

Compiled 34 to 9 computations (73.5% saved)

series23.0ms (0.2%)

Counts

3 → 120

Calls

36 calls:

Time	Variable		Point	Expression
2.0ms	t	@	inf	(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
2.0ms	x	@	0	(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
2.0ms	y	@	0	(/.f64 (*.f64 y (-.f64 z t)) a)
1.0ms	t	@	inf	(/.f64 (*.f64 y (-.f64 z t)) a)
1.0ms	z	@	0	(/.f64 (*.f64 y (-.f64 z t)) a)

rewrite122.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

946×	`prod-diff_binary64`
637×	`log-prod_binary64`
369×	`fma-def_binary64`
220×	`expm1-udef_binary64`
220×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	226	30
2	3454	30

Stop Event

1×	node limit

Counts

3 → 266

Calls

Call 1

Inputs
(/.f64 (*.f64 y (-.f64 z t)) a)
(*.f64 y (-.f64 z t))
(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (/.f64 y a) (-.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (.f64 (/.f64 y a) (-.f64 z t)))) (cbrt.f64 (exp.f64 (.f64 (/.f64 y a) (-.f64 z t)))))) (log.f64 (cbrt.f64 (exp.f64 (.f64 (/.f64 y a) (-.f64 z t))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 (/.f64 y a) (-.f64 z t))))) (log.f64 (sqrt.f64 (exp.f64 (.f64 (/.f64 y a) (-.f64 z t))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 y a) (-.f64 z t)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 y (/.f64 1 (/.f64 a (-.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 y (.f64 (-.f64 z t) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 z t) (.f64 y (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 y (-.f64 z t)) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 y a) (-.f64 z t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (/.f64 y a) (-.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (/.f64 y a) (-.f64 z t))) (cbrt.f64 (pow.f64 (.f64 (/.f64 y a) (-.f64 z t)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 y a) (-.f64 z t)) 2)) (cbrt.f64 (.f64 (/.f64 y a) (-.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 y (-.f64 z t))) 2) (.f64 (cbrt.f64 (.f64 y (-.f64 z t))) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (/.f64 y a) (-.f64 z t))) (sqrt.f64 (.f64 (/.f64 y a) (-.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 y (-.f64 z t))) (.f64 (sqrt.f64 (.f64 y (-.f64 z t))) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 z t) (neg.f64 y)) (/.f64 1 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 a) (.f64 y (-.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 y 1) (/.f64 (-.f64 z t) a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 z t) 1) (/.f64 y a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 y a) (-.f64 z t))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 y (-.f64 z t))) 2) 1) (/.f64 (cbrt.f64 (.f64 y (-.f64 z t))) a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 y (-.f64 z t))) 1) (/.f64 (sqrt.f64 (.f64 y (-.f64 z t))) a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 y (pow.f64 (cbrt.f64 a) 2)) (/.f64 (-.f64 z t) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 z t) (pow.f64 (cbrt.f64 a) 2)) (/.f64 y (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (.f64 y (-.f64 z t)) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 y (-.f64 z t))) 2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (.f64 (/.f64 y a) (-.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 y (-.f64 z t))) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (sqrt.f64 (.f64 y (-.f64 z t))) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 y (sqrt.f64 a)) (/.f64 (-.f64 z t) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 z t) (sqrt.f64 a)) (/.f64 y (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (.f64 y (-.f64 z t)) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 y (-.f64 z t))) 2) (sqrt.f64 a)) (/.f64 (cbrt.f64 (.f64 y (-.f64 z t))) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (/.f64 y a) (-.f64 z t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (/.f64 y a) (-.f64 z t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (/.f64 y a) (-.f64 z t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (/.f64 y a) (-.f64 z t)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 a y) (-.f64 z t)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (.f64 y (-.f64 z t)) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (/.f64 y a) (-.f64 z t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.f64 (/.f64 y a) (-.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 y a) (-.f64 z t)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (/.f64 y a) (-.f64 z t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (/.f64 y a) (-.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (/.f64 y a) (-.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (/.f64 y a) (-.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (/.f64 y a) (-.f64 z t))) 1))))))
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Outputs

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

simplify147.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

798×	`fma-neg_binary64`
488×	`fma-def_binary64`
273×	`cancel-sign-sub-inv_binary64`
138×	`distribute-rgt-in_binary64`
116×	`unsub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	1349
1	102	1158
2	214	1148
3	468	1058
4	1148	1058
5	2593	1058
6	3352	1058
7	3546	1058
8	3612	1058
9	3622	1058
10	3626	1058

Stop Event

1×

saturated

Counts

386 → 300

Calls

Call 1

Inputs
(.f64 -1 (/.f64 (.f64 y t) a))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(/.f64 (*.f64 y z) a)
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(/.f64 (*.f64 y z) a)
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(/.f64 (*.f64 y z) a)
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(.f64 -1 (/.f64 (.f64 y t) a))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(.f64 -1 (/.f64 (.f64 y t) a))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(*.f64 (-.f64 z t) y)
(*.f64 (-.f64 z t) y)
(*.f64 (-.f64 z t) y)
(*.f64 (-.f64 z t) y)
(*.f64 (-.f64 z t) y)
(*.f64 (-.f64 z t) y)
(*.f64 (-.f64 z t) y)
(*.f64 (-.f64 z t) y)
(*.f64 (-.f64 z t) y)
(*.f64 (-.f64 z t) y)
(*.f64 (-.f64 z t) y)
(*.f64 (-.f64 z t) y)
(.f64 -1 (.f64 y t))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y t)))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y t)))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y t)))
(*.f64 y z)
(+.f64 (.f64 -1 (.f64 y t)) (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y t)) (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y t)) (*.f64 y z))
(*.f64 y z)
(+.f64 (.f64 -1 (.f64 y t)) (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y t)) (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y t)) (*.f64 y z))
(*.f64 y z)
(+.f64 (.f64 -1 (.f64 y t)) (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y t)) (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y t)) (*.f64 y z))
(.f64 -1 (.f64 y t))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y t)))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y t)))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y t)))
(.f64 -1 (.f64 y t))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y t)))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y t)))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y t)))
(.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a))
(+.f64 x (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)))
(+.f64 x (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)))
(+.f64 x (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)))
x
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)) x)
x
(+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 z t)) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 z t)) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 z t)) a)) x)
x
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y)
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a))
(+.f64 x (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)))
(+.f64 x (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)))
(+.f64 x (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)))
(-.f64 x (.f64 -1 (/.f64 (.f64 y t) a)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x) (.f64 -1 (/.f64 (.f64 y t) a)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x) (.f64 -1 (/.f64 (.f64 y t) a)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x) (.f64 -1 (/.f64 (.f64 y t) a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(-.f64 (+.f64 x (.f64 -1 (/.f64 (.f64 y z) a))) (.f64 -1 (/.f64 (.f64 y t) a)))
(-.f64 (+.f64 x (.f64 -1 (/.f64 (.f64 y z) a))) (.f64 -1 (/.f64 (.f64 y t) a)))
(-.f64 (+.f64 x (.f64 -1 (/.f64 (.f64 y z) a))) (.f64 -1 (/.f64 (.f64 y t) a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(-.f64 (+.f64 x (.f64 -1 (/.f64 (.f64 y z) a))) (.f64 -1 (/.f64 (.f64 y t) a)))
(-.f64 (+.f64 x (.f64 -1 (/.f64 (.f64 y z) a))) (.f64 -1 (/.f64 (.f64 y t) a)))
(-.f64 (+.f64 x (.f64 -1 (/.f64 (.f64 y z) a))) (.f64 -1 (/.f64 (.f64 y t) a)))
(-.f64 x (/.f64 (*.f64 y z) a))
(-.f64 (+.f64 (/.f64 (.f64 y t) a) x) (/.f64 (.f64 y z) a))
(-.f64 (+.f64 (/.f64 (.f64 y t) a) x) (/.f64 (.f64 y z) a))
(-.f64 (+.f64 (/.f64 (.f64 y t) a) x) (/.f64 (.f64 y z) a))
(/.f64 (*.f64 y t) a)
(-.f64 (+.f64 (/.f64 (.f64 y t) a) x) (/.f64 (.f64 y z) a))
(-.f64 (+.f64 (/.f64 (.f64 y t) a) x) (/.f64 (.f64 y z) a))
(-.f64 (+.f64 (/.f64 (.f64 y t) a) x) (/.f64 (.f64 y z) a))
(/.f64 (*.f64 y t) a)
(-.f64 (+.f64 (/.f64 (.f64 y t) a) x) (/.f64 (.f64 y z) a))
(-.f64 (+.f64 (/.f64 (.f64 y t) a) x) (/.f64 (.f64 y z) a))
(-.f64 (+.f64 (/.f64 (.f64 y t) a) x) (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y (-.f64 z t)) a))
(+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 z t)) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 z t)) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 z t)) a)) x)
x
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)) x)
x
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)) x)

Outputs
(.f64 -1 (/.f64 (.f64 y t) a))
(/.f64 (neg.f64 (*.f64 y t)) a)
(/.f64 (neg.f64 y) (/.f64 a t))
(*.f64 (/.f64 y a) (neg.f64 t))
(*.f64 (neg.f64 t) (/.f64 y a))
(/.f64 (neg.f64 t) (/.f64 a y))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (neg.f64 (*.f64 y t)) a) (/.f64 y (/.f64 a z)))
(*.f64 (/.f64 y a) (-.f64 z t))
(*.f64 y (/.f64 (-.f64 z t) a))
(*.f64 (-.f64 z t) (/.f64 y a))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (neg.f64 (*.f64 y t)) a) (/.f64 y (/.f64 a z)))
(*.f64 (/.f64 y a) (-.f64 z t))
(*.f64 y (/.f64 (-.f64 z t) a))
(*.f64 (-.f64 z t) (/.f64 y a))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (neg.f64 (*.f64 y t)) a) (/.f64 y (/.f64 a z)))
(*.f64 (/.f64 y a) (-.f64 z t))
(*.f64 y (/.f64 (-.f64 z t) a))
(*.f64 (-.f64 z t) (/.f64 y a))
(/.f64 (*.f64 y z) a)
(/.f64 y (/.f64 a z))
(*.f64 (/.f64 y a) z)
(*.f64 z (/.f64 y a))
(*.f64 y (/.f64 z a))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (neg.f64 (*.f64 y t)) a) (/.f64 y (/.f64 a z)))
(*.f64 (/.f64 y a) (-.f64 z t))
(*.f64 y (/.f64 (-.f64 z t) a))
(*.f64 (-.f64 z t) (/.f64 y a))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (neg.f64 (*.f64 y t)) a) (/.f64 y (/.f64 a z)))
(*.f64 (/.f64 y a) (-.f64 z t))
(*.f64 y (/.f64 (-.f64 z t) a))
(*.f64 (-.f64 z t) (/.f64 y a))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (neg.f64 (*.f64 y t)) a) (/.f64 y (/.f64 a z)))
(*.f64 (/.f64 y a) (-.f64 z t))
(*.f64 y (/.f64 (-.f64 z t) a))
(*.f64 (-.f64 z t) (/.f64 y a))
(/.f64 (*.f64 y z) a)
(/.f64 y (/.f64 a z))
(*.f64 (/.f64 y a) z)
(*.f64 z (/.f64 y a))
(*.f64 y (/.f64 z a))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (neg.f64 (*.f64 y t)) a) (/.f64 y (/.f64 a z)))
(*.f64 (/.f64 y a) (-.f64 z t))
(*.f64 y (/.f64 (-.f64 z t) a))
(*.f64 (-.f64 z t) (/.f64 y a))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (neg.f64 (*.f64 y t)) a) (/.f64 y (/.f64 a z)))
(*.f64 (/.f64 y a) (-.f64 z t))
(*.f64 y (/.f64 (-.f64 z t) a))
(*.f64 (-.f64 z t) (/.f64 y a))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (neg.f64 (*.f64 y t)) a) (/.f64 y (/.f64 a z)))
(*.f64 (/.f64 y a) (-.f64 z t))
(*.f64 y (/.f64 (-.f64 z t) a))
(*.f64 (-.f64 z t) (/.f64 y a))
(/.f64 (*.f64 y z) a)
(/.f64 y (/.f64 a z))
(*.f64 (/.f64 y a) z)
(*.f64 z (/.f64 y a))
(*.f64 y (/.f64 z a))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (neg.f64 (*.f64 y t)) a) (/.f64 y (/.f64 a z)))
(*.f64 (/.f64 y a) (-.f64 z t))
(*.f64 y (/.f64 (-.f64 z t) a))
(*.f64 (-.f64 z t) (/.f64 y a))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (neg.f64 (*.f64 y t)) a) (/.f64 y (/.f64 a z)))
(*.f64 (/.f64 y a) (-.f64 z t))
(*.f64 y (/.f64 (-.f64 z t) a))
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(fma.f64 -1 (/.f64 (-.f64 z t) (/.f64 a y)) x)
(-.f64 x (*.f64 (/.f64 y a) (-.f64 z t)))
(+.f64 (*.f64 (/.f64 y a) (-.f64 t z)) x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(-.f64 (+.f64 (/.f64 (.f64 y t) a) x) (/.f64 (.f64 y z) a))
(fma.f64 -1 (/.f64 (-.f64 z t) (/.f64 a y)) x)
(-.f64 x (*.f64 (/.f64 y a) (-.f64 z t)))
(+.f64 (*.f64 (/.f64 y a) (-.f64 t z)) x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(.f64 -1 (/.f64 (.f64 y (-.f64 z t)) a))
(neg.f64 (/.f64 (-.f64 z t) (/.f64 a y)))
(/.f64 (*.f64 (neg.f64 y) (-.f64 z t)) a)
(*.f64 (/.f64 y a) (-.f64 t z))
(*.f64 y (/.f64 (-.f64 t z) a))
(+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 z t)) a)) x)
(fma.f64 -1 (/.f64 (-.f64 z t) (/.f64 a y)) x)
(-.f64 x (*.f64 (/.f64 y a) (-.f64 z t)))
(+.f64 (*.f64 (/.f64 y a) (-.f64 t z)) x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 z t)) a)) x)
(fma.f64 -1 (/.f64 (-.f64 z t) (/.f64 a y)) x)
(-.f64 x (*.f64 (/.f64 y a) (-.f64 z t)))
(+.f64 (*.f64 (/.f64 y a) (-.f64 t z)) x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 z t)) a)) x)
(fma.f64 -1 (/.f64 (-.f64 z t) (/.f64 a y)) x)
(-.f64 x (*.f64 (/.f64 y a) (-.f64 z t)))
(+.f64 (*.f64 (/.f64 y a) (-.f64 t z)) x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
x
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)) x)
(fma.f64 -1 (/.f64 (-.f64 z t) (/.f64 a y)) x)
(-.f64 x (*.f64 (/.f64 y a) (-.f64 z t)))
(+.f64 (*.f64 (/.f64 y a) (-.f64 t z)) x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)) x)
(fma.f64 -1 (/.f64 (-.f64 z t) (/.f64 a y)) x)
(-.f64 x (*.f64 (/.f64 y a) (-.f64 z t)))
(+.f64 (*.f64 (/.f64 y a) (-.f64 t z)) x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)) x)
(fma.f64 -1 (/.f64 (-.f64 z t) (/.f64 a y)) x)
(-.f64 x (*.f64 (/.f64 y a) (-.f64 z t)))
(+.f64 (*.f64 (/.f64 y a) (-.f64 t z)) x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
x
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)) x)
(fma.f64 -1 (/.f64 (-.f64 z t) (/.f64 a y)) x)
(-.f64 x (*.f64 (/.f64 y a) (-.f64 z t)))
(+.f64 (*.f64 (/.f64 y a) (-.f64 t z)) x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)) x)
(fma.f64 -1 (/.f64 (-.f64 z t) (/.f64 a y)) x)
(-.f64 x (*.f64 (/.f64 y a) (-.f64 z t)))
(+.f64 (*.f64 (/.f64 y a) (-.f64 t z)) x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)) x)
(fma.f64 -1 (/.f64 (-.f64 z t) (/.f64 a y)) x)
(-.f64 x (*.f64 (/.f64 y a) (-.f64 z t)))
(+.f64 (*.f64 (/.f64 y a) (-.f64 t z)) x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 t z) a)
✓	6.2b	(fma.f64 y (/.f64 (-.f64 t z) a) x)

Compiler

Compiled 26 to 8 computations (69.2% saved)

series137.0ms (1%)

Counts

2 → 84

Calls

24 calls:

Time	Variable		Point	Expression
127.0ms	y	@	0	(fma.f64 y (/.f64 (-.f64 t z) a) x)
1.0ms	t	@	0	(fma.f64 y (/.f64 (-.f64 t z) a) x)
1.0ms	t	@	-inf	(fma.f64 y (/.f64 (-.f64 t z) a) x)
1.0ms	z	@	0	(fma.f64 y (/.f64 (-.f64 t z) a) x)
1.0ms	z	@	inf	(fma.f64 y (/.f64 (-.f64 t z) a) x)

rewrite134.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

610×	`prod-diff_binary64`
525×	`log-prod_binary64`
329×	`pow-prod-down_binary64`
284×	`pow2_binary64`
214×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	18
1	197	18
2	2841	18

Stop Event

1×	node limit

Counts

2 → 205

Calls

Call 1

Inputs
(fma.f64 y (/.f64 (-.f64 t z) a) x)
(/.f64 (-.f64 t z) a)

Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 t z) a) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 z a))) (sqrt.f64 (/.f64 z a)) (/.f64 z a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 t z) a) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 z) (sqrt.f64 a))) (/.f64 (sqrt.f64 z) (sqrt.f64 a)) (/.f64 z a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 t a) (neg.f64 (/.f64 z a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 t z) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 t (/.f64 1 a) (neg.f64 (.f64 (/.f64 1 a) z))) (fma.f64 (neg.f64 (/.f64 1 a)) z (.f64 (/.f64 1 a) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 t a) (neg.f64 (.f64 (/.f64 1 a) z))) (fma.f64 (neg.f64 (/.f64 1 a)) z (.f64 (/.f64 1 a) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 t a)) 2) (cbrt.f64 (/.f64 t a)) (neg.f64 (.f64 (/.f64 1 a) z))) (fma.f64 (neg.f64 (/.f64 1 a)) z (.f64 (/.f64 1 a) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 t a)) (sqrt.f64 (/.f64 t a)) (neg.f64 (.f64 (/.f64 1 a) z))) (fma.f64 (neg.f64 (/.f64 1 a)) z (.f64 (/.f64 1 a) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 a) -2) (/.f64 t (cbrt.f64 a)) (neg.f64 (.f64 (/.f64 1 a) z))) (fma.f64 (neg.f64 (/.f64 1 a)) z (.f64 (/.f64 1 a) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 a -1/2) (/.f64 t (sqrt.f64 a)) (neg.f64 (.f64 (/.f64 1 a) z))) (fma.f64 (neg.f64 (/.f64 1 a)) z (.f64 (/.f64 1 a) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (pow.f64 (cbrt.f64 t) 2) 1) (/.f64 (cbrt.f64 t) a) (neg.f64 (.f64 (/.f64 1 a) z))) (fma.f64 (neg.f64 (/.f64 1 a)) z (.f64 (/.f64 1 a) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (sqrt.f64 t) 1) (/.f64 (sqrt.f64 t) a) (neg.f64 (.f64 (/.f64 1 a) z))) (fma.f64 (neg.f64 (/.f64 1 a)) z (.f64 (/.f64 1 a) z)))))) (#(struct:change #<rule 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Outputs

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(/.f64 (cbrt.f64 t) (sqrt.f64 a)) (neg.f64 (/.f64 z a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 t) (sqrt.f64 a)) (/.f64 (sqrt.f64 t) (sqrt.f64 a)) (neg.f64 (/.f64 z a)))))))

simplify210.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

886×	`fma-neg_binary64`
569×	`fma-def_binary64`
253×	`cancel-sign-sub-inv_binary64`
135×	`distribute-rgt-in_binary64`
90×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	28	950
1	60	949
2	113	800
3	212	746
4	393	746
5	622	746
6	1076	746
7	1700	746
8	2651	746
9	3372	746
10	3467	746
11	3481	746
12	3486	746
13	3490	746

Stop Event

1×

saturated

Counts

289 → 227

Calls

Call 1

Inputs
x
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y)
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(/.f64 (*.f64 y (-.f64 t z)) a)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x)
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(/.f64 (*.f64 y t) a)
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(/.f64 (*.f64 y t) a)
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (.f64 y t) a) (+.f64 (.f64 -1 (/.f64 (*.f64 y z) a)) x))
(+.f64 (/.f64 (.f64 y t) a) (+.f64 (.f64 -1 (/.f64 (*.f64 y z) a)) x))
(+.f64 (/.f64 (.f64 y t) a) (+.f64 (.f64 -1 (/.f64 (*.f64 y z) a)) x))
(.f64 -1 (/.f64 (.f64 y z) a))
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(.f64 -1 (/.f64 (.f64 y z) a))
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(/.f64 (*.f64 y (-.f64 t z)) a)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
x
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
x
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(/.f64 (*.f64 y (-.f64 t z)) a)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
x
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
x
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(*.f64 -1 (/.f64 z a))
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))
(/.f64 t a)
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))
(/.f64 t a)
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))
(/.f64 t a)
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))
(*.f64 -1 (/.f64 z a))
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))
(*.f64 -1 (/.f64 z a))
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))

Outputs
x
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (/.f64 (-.f64 t z) a) y x)
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (/.f64 (-.f64 t z) a) y x)
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (/.f64 (-.f64 t z) a) y x)
(*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y)
(*.f64 (-.f64 t z) (/.f64 y a))
(*.f64 (/.f64 (-.f64 t z) a) y)
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (/.f64 (-.f64 t z) a) y x)
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (/.f64 (-.f64 t z) a) y x)
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (/.f64 (-.f64 t z) a) y x)
(/.f64 (*.f64 y (-.f64 t z)) a)
(*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y)
(*.f64 (-.f64 t z) (/.f64 y a))
(*.f64 (/.f64 (-.f64 t z) a) y)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (/.f64 (-.f64 t z) a) y x)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (/.f64 (-.f64 t z) a) y x)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (/.f64 (-.f64 t z) a) y x)
(+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x)
(fma.f64 -1 (/.f64 (*.f64 z y) a) x)
(-.f64 x (*.f64 (/.f64 y a) z))
(-.f64 x (*.f64 z (/.f64 y a)))
(fma.f64 (/.f64 z a) (neg.f64 y) x)
(fma.f64 z (/.f64 (neg.f64 y) a) x)
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (/.f64 (-.f64 t z) a) y x)
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (/.f64 (-.f64 t z) a) y x)
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (/.f64 (-.f64 t z) a) y x)
(/.f64 (*.f64 y t) a)
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(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (/.f64 (-.f64 t z) a) y x)
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (/.f64 (-.f64 t z) a) y x)
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (/.f64 (-.f64 t z) a) y x)
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (/.f64 (-.f64 t z) a) y x)
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (/.f64 (-.f64 t z) a) y x)
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (/.f64 (-.f64 t z) a) y x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 x (/.f64 y (/.f64 a t)))
(+.f64 x (*.f64 (/.f64 y a) t))
(fma.f64 (/.f64 y a) t x)
(fma.f64 (/.f64 t a) y x)
(fma.f64 t (/.f64 y a) x)
(+.f64 (/.f64 (.f64 y t) a) (+.f64 (.f64 -1 (/.f64 (*.f64 y z) a)) x))
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (/.f64 (-.f64 t z) a) y x)
(+.f64 (/.f64 (.f64 y t) a) (+.f64 (.f64 -1 (/.f64 (*.f64 y z) a)) x))
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (/.f64 (-.f64 t z) a) y x)
(+.f64 (/.f64 (.f64 y t) a) (+.f64 (.f64 -1 (/.f64 (*.f64 y z) a)) x))
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (/.f64 (-.f64 t z) a) y x)
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 (*.f64 z y) a))
(/.f64 (neg.f64 y) (/.f64 a z))
(*.f64 (/.f64 z a) (neg.f64 y))
(*.f64 z (/.f64 (neg.f64 y) a))
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (/.f64 (-.f64 t z) a) y x)
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (/.f64 (-.f64 t z) a) y x)
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (/.f64 (-.f64 t z) a) y x)
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 (*.f64 z y) a))
(/.f64 (neg.f64 y) (/.f64 a z))
(*.f64 (/.f64 z a) (neg.f64 y))
(*.f64 z (/.f64 (neg.f64 y) a))
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (/.f64 (-.f64 t z) a) y x)
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (/.f64 (-.f64 t z) a) y x)
(+.f64 (/.f64 (.f64 y t) a) (+.f64 x (.f64 -1 (/.f64 (*.f64 y z) a))))
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (/.f64 (-.f64 t z) a) y x)
(/.f64 (*.f64 y (-.f64 t z)) a)
(*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y)
(*.f64 (-.f64 t z) (/.f64 y a))
(*.f64 (/.f64 (-.f64 t z) a) y)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (/.f64 (-.f64 t z) a) y x)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (/.f64 (-.f64 t z) a) y x)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (/.f64 (-.f64 t z) a) y x)
x
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (/.f64 (-.f64 t z) a) y x)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (/.f64 (-.f64 t z) a) y x)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (/.f64 (-.f64 t z) a) y x)
x
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (/.f64 (-.f64 t z) a) y x)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (/.f64 (-.f64 t z) a) y x)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (/.f64 (-.f64 t z) a) y x)
(/.f64 (*.f64 y (-.f64 t z)) a)
(*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y)
(*.f64 (-.f64 t z) (/.f64 y a))
(*.f64 (/.f64 (-.f64 t z) a) y)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (/.f64 (-.f64 t z) a) y x)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (/.f64 (-.f64 t z) a) y x)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (/.f64 (-.f64 t z) a) y x)
x
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (/.f64 (-.f64 t z) a) y x)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (/.f64 (-.f64 t z) a) y x)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (/.f64 (-.f64 t z) a) y x)
x
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (/.f64 (-.f64 t z) a) y x)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (/.f64 (-.f64 t z) a) y x)
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
(fma.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y x)
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(fma.f64 (/.f64 (-.f64 t z) a) y x)
(*.f64 -1 (/.f64 z a))
(neg.f64 (/.f64 z a))
(/.f64 (neg.f64 z) a)
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))
(-.f64 (/.f64 t a) (/.f64 z a))
(/.f64 (-.f64 t z) a)
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))
(-.f64 (/.f64 t a) (/.f64 z a))
(/.f64 (-.f64 t z) a)
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))
(-.f64 (/.f64 t a) (/.f64 z a))
(/.f64 (-.f64 t z) a)
(/.f64 t a)
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))
(-.f64 (/.f64 t a) (/.f64 z a))
(/.f64 (-.f64 t z) a)
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))
(-.f64 (/.f64 t a) (/.f64 z a))
(/.f64 (-.f64 t z) a)
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))
(-.f64 (/.f64 t a) (/.f64 z a))
(/.f64 (-.f64 t z) a)
(/.f64 t a)
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))
(-.f64 (/.f64 t a) (/.f64 z a))
(/.f64 (-.f64 t z) a)
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))
(-.f64 (/.f64 t a) (/.f64 z a))
(/.f64 (-.f64 t z) a)
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))
(-.f64 (/.f64 t a) (/.f64 z a))
(/.f64 (-.f64 t z) a)
(/.f64 t a)
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))
(-.f64 (/.f64 t a) (/.f64 z a))
(/.f64 (-.f64 t z) a)
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))
(-.f64 (/.f64 t a) (/.f64 z a))
(/.f64 (-.f64 t z) a)
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))
(-.f64 (/.f64 t a) (/.f64 z a))
(/.f64 (-.f64 t z) a)
(*.f64 -1 (/.f64 z a))
(neg.f64 (/.f64 z a))
(/.f64 (neg.f64 z) a)
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))
(-.f64 (/.f64 t a) (/.f64 z a))
(/.f64 (-.f64 t z) a)
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))
(-.f64 (/.f64 t a) (/.f64 z a))
(/.f64 (-.f64 t z) a)
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))
(-.f64 (/.f64 t a) (/.f64 z a))
(/.f64 (-.f64 t z) a)
(*.f64 -1 (/.f64 z a))
(neg.f64 (/.f64 z a))
(/.f64 (neg.f64 z) a)
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))
(-.f64 (/.f64 t a) (/.f64 z a))
(/.f64 (-.f64 t z) a)
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))
(-.f64 (/.f64 t a) (/.f64 z a))
(/.f64 (-.f64 t z) a)
(+.f64 (/.f64 t a) (*.f64 -1 (/.f64 z a)))
(-.f64 (/.f64 t a) (/.f64 z a))
(/.f64 (-.f64 t z) a)

eval209.0ms (1.6%)

Compiler: Compiled 15421 to 4483 computations (70.9% saved)

prune105.0ms (0.8%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	509	18	527
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	511	18	529

Error

Counts

529 → 18

Alt Table

Click to see full alt table

Status	Error	Program
▶	51.5b	(*.f64 (/.f64 z a) (neg.f64 y))
	2.1b	(-.f64 x (pow.f64 (/.f64 (/.f64 a y) (-.f64 z t)) -1))
	38.5b	(*.f64 (/.f64 (-.f64 t z) a) y)
	1.9b	(-.f64 x (.f64 (-.f64 z t) (.f64 y (/.f64 1 a))))
	29.4b	x
	28.3b	(-.f64 x (pow.f64 (sqrt.f64 (*.f64 (/.f64 y a) (-.f64 z t))) 2))
▶	1.9b	(-.f64 x (*.f64 (/.f64 y a) (-.f64 z t)))
	48.9b	(/.f64 (*.f64 y t) a)
	50.6b	(*.f64 z (/.f64 (neg.f64 y) a))
	6.6b	(-.f64 x (*.f64 y (/.f64 1 (/.f64 a (-.f64 z t)))))
	17.1b	(+.f64 (/.f64 (*.f64 y t) a) x)
	13.9b	(-.f64 x (/.f64 (neg.f64 t) (/.f64 a y)))
	19.9b	(-.f64 x (*.f64 y (/.f64 z a)))
▶	47.0b	(*.f64 t (/.f64 y a))
▶	8.5b	(-.f64 x (.f64 (/.f64 1 a) (.f64 y (-.f64 z t))))
▶	21.3b	(-.f64 x (/.f64 (*.f64 y z) a))
	49.2b	(*.f64 y (/.f64 t a))
	28.6b	(-.f64 x (/.f64 (/.f64 (.f64 (-.f64 (.f64 z z) (*.f64 t t)) y) (+.f64 z t)) a))

Compiler

Compiled 466 to 317 computations (32% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (*.f64 (/.f64 y a) (-.f64 z t)))
✓	5.5b	(*.f64 (/.f64 y a) (-.f64 z t))

Compiler

Compiled 32 to 9 computations (71.9% saved)

series14.0ms (0.1%)

Counts

2 → 108

Calls

27 calls:

Time	Variable		Point	Expression
4.0ms	a	@	inf	(*.f64 (/.f64 y a) (-.f64 z t))
1.0ms	y	@	-inf	(-.f64 x (*.f64 (/.f64 y a) (-.f64 z t)))
1.0ms	a	@	-inf	(*.f64 (/.f64 y a) (-.f64 z t))
1.0ms	y	@	inf	(*.f64 (/.f64 y a) (-.f64 z t))
1.0ms	a	@	0	(*.f64 (/.f64 y a) (-.f64 z t))

rewrite87.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

634×	`log-prod_binary64`
373×	`fma-def_binary64`
329×	`pow2_binary64`
226×	`pow1/3_binary64`
222×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	229	23
2	3510	23

Stop Event

1×	node limit

Counts

2 → 145

Calls

Call 1

Inputs
(*.f64 (/.f64 y a) (-.f64 z t))
(-.f64 x (*.f64 (/.f64 y a) (-.f64 z t)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 y a) (-.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (/.f64 y a)) (*.f64 (neg.f64 t) (/.f64 y a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 y a) z) (*.f64 (/.f64 y a) (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 y a)) (-.f64 z t))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 y a)) (-.f64 z t)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 y a)) (-.f64 z t)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 y a)) (-.f64 z t)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 y a) (-.f64 z t)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 a (-.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 z t) (/.f64 a y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a (*.f64 y (-.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 z 3) (pow.f64 t 3)) (*.f64 (/.f64 a y) (fma.f64 z z (*.f64 t (+.f64 z t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 z z) (*.f64 t t)) (*.f64 (/.f64 a y) (+.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 z t)) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 y (-.f64 z t))) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 (pow.f64 z 3) (pow.f64 t 3))) (*.f64 a (fma.f64 z z (*.f64 t (+.f64 z t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) (-.f64 (pow.f64 z 3) (pow.f64 t 3))) (*.f64 (neg.f64 a) (fma.f64 z z (*.f64 t (+.f64 z t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 (*.f64 z z) (*.f64 t t))) (*.f64 a (+.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) (-.f64 (*.f64 z z) (*.f64 t t))) (*.f64 (neg.f64 a) (+.f64 z t)))))) 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(#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 y a) (-.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y a) (-.f64 z t))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 y a) z (*.f64 (/.f64 y a) (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z (/.f64 y a) (*.f64 (neg.f64 t) (/.f64 y a)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (/.f64 y a) (neg.f64 (-.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (*.f64 (/.f64 y a) (neg.f64 (-.f64 z t))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 (/.f64 y a) (-.f64 z t))) (fma.f64 (/.f64 (neg.f64 y) a) (-.f64 z t) (*.f64 (/.f64 y a) (-.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 (/.f64 y a) (-.f64 z t))) (fma.f64 (*.f64 (/.f64 y a) (neg.f64 (-.f64 z t))) 1 (*.f64 (/.f64 y a) (-.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 (/.f64 y a) (-.f64 z t))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (/.f64 y a) (-.f64 z t)))) (cbrt.f64 (pow.f64 (*.f64 (/.f64 y a) (-.f64 z t)) 2)) (*.f64 (/.f64 y a) (-.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 y a) (neg.f64 (-.f64 z t))) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 x (*.f64 (/.f64 y a) (-.f64 z t))))))) (#(struct:change #<rule 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (/.f64 y a) (-.f64 z t)) 3)) (fma.f64 (*.f64 (/.f64 y a) (-.f64 z t)) (fma.f64 (/.f64 y a) (-.f64 z t) x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 y a) (-.f64 z t)) 2)) (fma.f64 (/.f64 y a) (-.f64 z t) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (/.f64 y a) (-.f64 z t)) 3))) (neg.f64 (fma.f64 (*.f64 (/.f64 y a) (-.f64 z t)) (fma.f64 (/.f64 y a) (-.f64 z t) x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 y a) (-.f64 z t)) 2))) (neg.f64 (fma.f64 (/.f64 y a) (-.f64 z t) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (/.f64 y a) (neg.f64 (-.f64 z t))) 3)) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (/.f64 y a) (neg.f64 (-.f64 z t))) 2) (*.f64 x (*.f64 (/.f64 y a) (neg.f64 (-.f64 z 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z t))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 (neg.f64 y) a) 1) (-.f64 z t) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 (neg.f64 y) a) (pow.f64 (cbrt.f64 (-.f64 z t)) 2)) (cbrt.f64 (-.f64 z t)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 (neg.f64 y) a) (sqrt.f64 (-.f64 z t))) (sqrt.f64 (-.f64 z t)) x)))))

simplify124.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

966×	`fma-def_binary64`
730×	`fma-neg_binary64`
280×	`cancel-sign-sub-inv_binary64`
132×	`distribute-rgt-in_binary64`
109×	`unsub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	37	1205
1	94	1158
2	206	1148
3	458	1058
4	1124	1058
5	2529	1058
6	3522	1058
7	3853	1058
8	3963	1058
9	3970	1058
10	3970	1058

Stop Event

1×

saturated

Counts

253 → 173

Calls

Call 1

Inputs
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 (*.f64 (-.f64 z t) y) a)
(/.f64 (*.f64 (-.f64 z t) y) a)
(/.f64 (*.f64 (-.f64 z t) y) a)
(/.f64 (*.f64 (-.f64 z t) y) a)
(/.f64 (*.f64 (-.f64 z t) y) a)
(/.f64 (*.f64 (-.f64 z t) y) a)
(/.f64 (*.f64 (-.f64 z t) y) a)
(/.f64 (*.f64 (-.f64 z t) y) a)
(/.f64 (*.f64 (-.f64 z t) y) a)
(/.f64 (*.f64 (-.f64 z t) y) a)
(/.f64 (*.f64 (-.f64 z t) y) a)
(/.f64 (*.f64 (-.f64 z t) y) a)
(.f64 -1 (/.f64 (.f64 y t) a))
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(/.f64 (*.f64 y z) a)
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(/.f64 (*.f64 y z) a)
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(/.f64 (*.f64 y z) a)
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(.f64 -1 (/.f64 (.f64 y t) a))
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(.f64 -1 (/.f64 (.f64 y t) a))
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(.f64 -1 (/.f64 (.f64 y (-.f64 z t)) a))
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(+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 z t)) a)) x)
x
(+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 z t)) a)) x)
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(+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 z t)) a)) x)
x
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)) x)
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x
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(*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y)
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(.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a))
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(+.f64 x (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)))
(.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a))
(+.f64 x (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)))
(+.f64 x (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)))
(+.f64 x (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)))
x
(+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 z t)) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 z t)) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 z t)) a)) x)
x
(+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 z t)) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 z t)) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 z t)) a)) x)
(-.f64 x (.f64 -1 (/.f64 (.f64 y t) a)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x) (.f64 -1 (/.f64 (.f64 y t) a)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x) (.f64 -1 (/.f64 (.f64 y t) a)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x) (.f64 -1 (/.f64 (.f64 y t) a)))
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(fma.f64 y (/.f64 (-.f64 t z) a) x)
x
(+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 z t)) a)) x)
(fma.f64 -1 (/.f64 y (/.f64 a (-.f64 z t))) x)
(-.f64 x (*.f64 (/.f64 (-.f64 z t) a) y))
(+.f64 x (*.f64 (/.f64 y a) (-.f64 t z)))
(fma.f64 y (/.f64 (-.f64 t z) a) x)
(+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 z t)) a)) x)
(fma.f64 -1 (/.f64 y (/.f64 a (-.f64 z t))) x)
(-.f64 x (*.f64 (/.f64 (-.f64 z t) a) y))
(+.f64 x (*.f64 (/.f64 y a) (-.f64 t z)))
(fma.f64 y (/.f64 (-.f64 t z) a) x)
(+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 z t)) a)) x)
(fma.f64 -1 (/.f64 y (/.f64 a (-.f64 z t))) x)
(-.f64 x (*.f64 (/.f64 (-.f64 z t) a) y))
(+.f64 x (*.f64 (/.f64 y a) (-.f64 t z)))
(fma.f64 y (/.f64 (-.f64 t z) a) x)
x
(+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 z t)) a)) x)
(fma.f64 -1 (/.f64 y (/.f64 a (-.f64 z t))) x)
(-.f64 x (*.f64 (/.f64 (-.f64 z t) a) y))
(+.f64 x (*.f64 (/.f64 y a) (-.f64 t z)))
(fma.f64 y (/.f64 (-.f64 t z) a) x)
(+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 z t)) a)) x)
(fma.f64 -1 (/.f64 y (/.f64 a (-.f64 z t))) x)
(-.f64 x (*.f64 (/.f64 (-.f64 z t) a) y))
(+.f64 x (*.f64 (/.f64 y a) (-.f64 t z)))
(fma.f64 y (/.f64 (-.f64 t z) a) x)
(+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 z t)) a)) x)
(fma.f64 -1 (/.f64 y (/.f64 a (-.f64 z t))) x)
(-.f64 x (*.f64 (/.f64 (-.f64 z t) a) y))
(+.f64 x (*.f64 (/.f64 y a) (-.f64 t z)))
(fma.f64 y (/.f64 (-.f64 t z) a) x)
(-.f64 x (.f64 -1 (/.f64 (.f64 y t) a)))
(-.f64 x (neg.f64 (/.f64 y (/.f64 a t))))
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 y (/.f64 t a) x)
(fma.f64 t (/.f64 y a) x)
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x) (.f64 -1 (/.f64 (.f64 y t) a)))
(fma.f64 -1 (/.f64 y (/.f64 a (-.f64 z t))) x)
(-.f64 x (*.f64 (/.f64 (-.f64 z t) a) y))
(+.f64 x (*.f64 (/.f64 y a) (-.f64 t z)))
(fma.f64 y (/.f64 (-.f64 t z) a) x)
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x) (.f64 -1 (/.f64 (.f64 y t) a)))
(fma.f64 -1 (/.f64 y (/.f64 a (-.f64 z t))) x)
(-.f64 x (*.f64 (/.f64 (-.f64 z t) a) y))
(+.f64 x (*.f64 (/.f64 y a) (-.f64 t z)))
(fma.f64 y (/.f64 (-.f64 t z) a) x)
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x) (.f64 -1 (/.f64 (.f64 y t) a)))
(fma.f64 -1 (/.f64 y (/.f64 a (-.f64 z t))) x)
(-.f64 x (*.f64 (/.f64 (-.f64 z t) a) y))
(+.f64 x (*.f64 (/.f64 y a) (-.f64 t z)))
(fma.f64 y (/.f64 (-.f64 t z) a) x)
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 y (/.f64 (neg.f64 z) a))
(*.f64 z (neg.f64 (/.f64 y a)))
(-.f64 (+.f64 x (.f64 -1 (/.f64 (.f64 y z) a))) (.f64 -1 (/.f64 (.f64 y t) a)))
(fma.f64 -1 (/.f64 y (/.f64 a (-.f64 z t))) x)
(-.f64 x (*.f64 (/.f64 (-.f64 z t) a) y))
(+.f64 x (*.f64 (/.f64 y a) (-.f64 t z)))
(fma.f64 y (/.f64 (-.f64 t z) a) x)
(-.f64 (+.f64 x (.f64 -1 (/.f64 (.f64 y z) a))) (.f64 -1 (/.f64 (.f64 y t) a)))
(fma.f64 -1 (/.f64 y (/.f64 a (-.f64 z t))) x)
(-.f64 x (*.f64 (/.f64 (-.f64 z t) a) y))
(+.f64 x (*.f64 (/.f64 y a) (-.f64 t z)))
(fma.f64 y (/.f64 (-.f64 t z) a) x)
(-.f64 (+.f64 x (.f64 -1 (/.f64 (.f64 y z) a))) (.f64 -1 (/.f64 (.f64 y t) a)))
(fma.f64 -1 (/.f64 y (/.f64 a (-.f64 z t))) x)
(-.f64 x (*.f64 (/.f64 (-.f64 z t) a) y))
(+.f64 x (*.f64 (/.f64 y a) (-.f64 t z)))
(fma.f64 y (/.f64 (-.f64 t z) a) x)
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 y (/.f64 (neg.f64 z) a))
(*.f64 z (neg.f64 (/.f64 y a)))
(-.f64 (+.f64 x (.f64 -1 (/.f64 (.f64 y z) a))) (.f64 -1 (/.f64 (.f64 y t) a)))
(fma.f64 -1 (/.f64 y (/.f64 a (-.f64 z t))) x)
(-.f64 x (*.f64 (/.f64 (-.f64 z t) a) y))
(+.f64 x (*.f64 (/.f64 y a) (-.f64 t z)))
(fma.f64 y (/.f64 (-.f64 t z) a) x)
(-.f64 (+.f64 x (.f64 -1 (/.f64 (.f64 y z) a))) (.f64 -1 (/.f64 (.f64 y t) a)))
(fma.f64 -1 (/.f64 y (/.f64 a (-.f64 z t))) x)
(-.f64 x (*.f64 (/.f64 (-.f64 z t) a) y))
(+.f64 x (*.f64 (/.f64 y a) (-.f64 t z)))
(fma.f64 y (/.f64 (-.f64 t z) a) x)
(-.f64 (+.f64 x (.f64 -1 (/.f64 (.f64 y z) a))) (.f64 -1 (/.f64 (.f64 y t) a)))
(fma.f64 -1 (/.f64 y (/.f64 a (-.f64 z t))) x)
(-.f64 x (*.f64 (/.f64 (-.f64 z t) a) y))
(+.f64 x (*.f64 (/.f64 y a) (-.f64 t z)))
(fma.f64 y (/.f64 (-.f64 t z) a) x)
(-.f64 x (/.f64 (*.f64 y z) a))
(-.f64 x (/.f64 y (/.f64 a z)))
(-.f64 x (/.f64 z (/.f64 a y)))
(fma.f64 y (/.f64 (neg.f64 z) a) x)
(fma.f64 z (neg.f64 (/.f64 y a)) x)
(-.f64 (+.f64 (/.f64 (.f64 y t) a) x) (/.f64 (.f64 y z) a))
(fma.f64 -1 (/.f64 y (/.f64 a (-.f64 z t))) x)
(-.f64 x (*.f64 (/.f64 (-.f64 z t) a) y))
(+.f64 x (*.f64 (/.f64 y a) (-.f64 t z)))
(fma.f64 y (/.f64 (-.f64 t z) a) x)
(-.f64 (+.f64 (/.f64 (.f64 y t) a) x) (/.f64 (.f64 y z) a))
(fma.f64 -1 (/.f64 y (/.f64 a (-.f64 z t))) x)
(-.f64 x (*.f64 (/.f64 (-.f64 z t) a) y))
(+.f64 x (*.f64 (/.f64 y a) (-.f64 t z)))
(fma.f64 y (/.f64 (-.f64 t z) a) x)
(-.f64 (+.f64 (/.f64 (.f64 y t) a) x) (/.f64 (.f64 y z) a))
(fma.f64 -1 (/.f64 y (/.f64 a (-.f64 z t))) x)
(-.f64 x (*.f64 (/.f64 (-.f64 z t) a) y))
(+.f64 x (*.f64 (/.f64 y a) (-.f64 t z)))
(fma.f64 y (/.f64 (-.f64 t z) a) x)
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 y (/.f64 t a))
(-.f64 (+.f64 (/.f64 (.f64 y t) a) x) (/.f64 (.f64 y z) a))
(fma.f64 -1 (/.f64 y (/.f64 a (-.f64 z t))) x)
(-.f64 x (*.f64 (/.f64 (-.f64 z t) a) y))
(+.f64 x (*.f64 (/.f64 y a) (-.f64 t z)))
(fma.f64 y (/.f64 (-.f64 t z) a) x)
(-.f64 (+.f64 (/.f64 (.f64 y t) a) x) (/.f64 (.f64 y z) a))
(fma.f64 -1 (/.f64 y (/.f64 a (-.f64 z t))) x)
(-.f64 x (*.f64 (/.f64 (-.f64 z t) a) y))
(+.f64 x (*.f64 (/.f64 y a) (-.f64 t z)))
(fma.f64 y (/.f64 (-.f64 t z) a) x)
(-.f64 (+.f64 (/.f64 (.f64 y t) a) x) (/.f64 (.f64 y z) a))
(fma.f64 -1 (/.f64 y (/.f64 a (-.f64 z t))) x)
(-.f64 x (*.f64 (/.f64 (-.f64 z t) a) y))
(+.f64 x (*.f64 (/.f64 y a) (-.f64 t z)))
(fma.f64 y (/.f64 (-.f64 t z) a) x)
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 y (/.f64 t a))
(-.f64 (+.f64 (/.f64 (.f64 y t) a) x) (/.f64 (.f64 y z) a))
(fma.f64 -1 (/.f64 y (/.f64 a (-.f64 z t))) x)
(-.f64 x (*.f64 (/.f64 (-.f64 z t) a) y))
(+.f64 x (*.f64 (/.f64 y a) (-.f64 t z)))
(fma.f64 y (/.f64 (-.f64 t z) a) x)
(-.f64 (+.f64 (/.f64 (.f64 y t) a) x) (/.f64 (.f64 y z) a))
(fma.f64 -1 (/.f64 y (/.f64 a (-.f64 z t))) x)
(-.f64 x (*.f64 (/.f64 (-.f64 z t) a) y))
(+.f64 x (*.f64 (/.f64 y a) (-.f64 t z)))
(fma.f64 y (/.f64 (-.f64 t z) a) x)
(-.f64 (+.f64 (/.f64 (.f64 y t) a) x) (/.f64 (.f64 y z) a))
(fma.f64 -1 (/.f64 y (/.f64 a (-.f64 z t))) x)
(-.f64 x (*.f64 (/.f64 (-.f64 z t) a) y))
(+.f64 x (*.f64 (/.f64 y a) (-.f64 t z)))
(fma.f64 y (/.f64 (-.f64 t z) a) x)

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	3.6b	(*.f64 t (/.f64 y a))

Compiler

Compiled 16 to 7 computations (56.3% saved)

series5.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(*.f64 t (/.f64 y a))
1.0ms	t	@	0	(*.f64 t (/.f64 y a))
1.0ms	a	@	0	(*.f64 t (/.f64 y a))
1.0ms	a	@	inf	(*.f64 t (/.f64 y a))
1.0ms	t	@	inf	(*.f64 t (/.f64 y a))

rewrite54.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

681×	`pow1_binary64`
628×	`add-log-exp_binary64`
628×	`log1p-expm1-u_binary64`
628×	`expm1-log1p-u_binary64`
613×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	125	7
2	1672	7

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

Inputs
(*.f64 t (/.f64 y a))

Outputs

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

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
2×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	252
1	9	252
2	13	252
3	16	252
4	17	252

Stop Event

1×

saturated

Counts

58 → 24

Calls

Call 1

Inputs
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)

Outputs
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	8.2b	(*.f64 (/.f64 z a) (neg.f64 y))

Compiler

Compiled 19 to 8 computations (57.9% saved)

series9.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	z	@	inf	(*.f64 (/.f64 z a) (neg.f64 y))
1.0ms	a	@	0	(*.f64 (/.f64 z a) (neg.f64 y))
1.0ms	a	@	inf	(*.f64 (/.f64 z a) (neg.f64 y))
1.0ms	z	@	0	(*.f64 (/.f64 z a) (neg.f64 y))
1.0ms	y	@	0	(*.f64 (/.f64 z a) (neg.f64 y))

rewrite57.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

715×	`pow1_binary64`
660×	`add-log-exp_binary64`
659×	`log1p-expm1-u_binary64`
659×	`expm1-log1p-u_binary64`
645×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	150	7
2	2088	7

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

Inputs
(*.f64 (/.f64 z a) (neg.f64 y))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (/.f64 z a) y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 z a) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 z (/.f64 a y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 a z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z y) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z y) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z y) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z y) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z y) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 z) y) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (neg.f64 z)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 z a) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 z a) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 z a) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 z a) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 z a) y))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 z a) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (/.f64 z a)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 z a) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 z a) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (/.f64 z a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 z a) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 z a) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 z a) y)))))))

simplify31.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

145×	`fma-def_binary64`
46×	`fma-neg_binary64`
24×	`sub-neg_binary64`
18×	`div-sub_binary64`
14×	`associate-/l*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	324
1	15	324
2	35	324
3	69	324
4	114	324
5	162	324
6	202	324
7	238	324
8	275	324
9	394	324
10	445	324

Stop Event

1×

saturated

Counts

61 → 27

Calls

Call 1

Inputs
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))

Outputs
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (/.f64 (*.f64 y z) a))
✓	6.3b	(/.f64 (*.f64 y z) a)

Compiler

Compiled 24 to 8 computations (66.7% saved)

series7.0ms (0.1%)

Counts

2 → 48

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	a	@	inf	(/.f64 (*.f64 y z) a)
1.0ms	x	@	0	(-.f64 x (/.f64 (*.f64 y z) a))
0.0ms	y	@	-inf	(/.f64 (*.f64 y z) a)
0.0ms	a	@	-inf	(/.f64 (*.f64 y z) a)
0.0ms	y	@	0	(/.f64 (*.f64 y z) a)

rewrite100.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

587×	`prod-diff_binary64`
503×	`log-prod_binary64`
320×	`pow-prod-down_binary64`
250×	`pow2_binary64`
215×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	176	17
2	2613	17

Stop Event

1×	node limit

Counts

2 → 250

Calls

Call 1

Inputs
(/.f64 (*.f64 y z) a)
(-.f64 x (/.f64 (*.f64 y z) a))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 y a) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 y a) z))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 y a) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 y a) z)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 y a) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 y a) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (/.f64 a z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 z (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (*.f64 y (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y z) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y a) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 y a) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 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x (/.f64 (*.f64 y (neg.f64 z)) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 (/.f64 (*.f64 y (neg.f64 z)) a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 x (*.f64 (/.f64 y a) z)) (fma.f64 (neg.f64 (/.f64 1 a)) (*.f64 y z) (*.f64 (/.f64 y a) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 x (*.f64 (/.f64 y a) z)) (fma.f64 (/.f64 (*.f64 y (neg.f64 z)) a) 1 (*.f64 (/.f64 y a) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 x (*.f64 (/.f64 y a) z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (/.f64 y a) z))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 y a) z)) 2) (*.f64 (/.f64 y a) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 x (*.f64 (/.f64 y a) z)) (+.f64 (/.f64 (*.f64 y (neg.f64 z)) a) (*.f64 (/.f64 y a) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (*.f64 y (neg.f64 z)) a) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 x (*.f64 (/.f64 y a) z))) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 (/.f64 y a) z))) 2) (fma.f64 (neg.f64 (/.f64 1 a)) (*.f64 y z) (*.f64 (/.f64 y a) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 x (*.f64 (/.f64 y a) z))) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 (/.f64 y a) z))) 2) (fma.f64 (/.f64 (*.f64 y (neg.f64 z)) a) 1 (*.f64 (/.f64 y a) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 x (*.f64 (/.f64 y a) z))) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 (/.f64 y a) z))) 2) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (/.f64 y a) z))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 y a) z)) 2) (*.f64 (/.f64 y a) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 x (*.f64 (/.f64 y a) z))) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 (/.f64 y a) z))) 2) (+.f64 (/.f64 (*.f64 y (neg.f64 z)) a) (*.f64 (/.f64 y a) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 (/.f64 y a) z))) 2) (cbrt.f64 (-.f64 x (*.f64 (/.f64 y a) z))) (fma.f64 (neg.f64 (/.f64 1 a)) (*.f64 y z) (*.f64 (/.f64 y a) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 (/.f64 y a) z))) 2) (cbrt.f64 (-.f64 x (*.f64 (/.f64 y a) z))) (fma.f64 (/.f64 (*.f64 y (neg.f64 z)) a) 1 (*.f64 (/.f64 y a) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 (/.f64 y a) z))) 2) (cbrt.f64 (-.f64 x (*.f64 (/.f64 y a) z))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (/.f64 y a) z))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 y a) z)) 2) (*.f64 (/.f64 y a) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 (/.f64 y a) z))) 2) (cbrt.f64 (-.f64 x (*.f64 (/.f64 y a) z))) (+.f64 (/.f64 (*.f64 y (neg.f64 z)) a) (*.f64 (/.f64 y a) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y a) z)) 2) (neg.f64 (cbrt.f64 (*.f64 (/.f64 y a) z))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (/.f64 (*.f64 y (neg.f64 z)) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (/.f64 (*.f64 y (neg.f64 z)) a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 (*.f64 y (neg.f64 z)) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (/.f64 (*.f64 y (neg.f64 z)) a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 x (*.f64 (/.f64 y a) z))) (sqrt.f64 (-.f64 x (*.f64 (/.f64 y a) z))) (fma.f64 (neg.f64 (/.f64 1 a)) (*.f64 y z) (*.f64 (/.f64 y a) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 x (*.f64 (/.f64 y a) z))) (sqrt.f64 (-.f64 x (*.f64 (/.f64 y a) z))) (fma.f64 (/.f64 (*.f64 y (neg.f64 z)) a) 1 (*.f64 (/.f64 y a) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 x (*.f64 (/.f64 y a) z))) (sqrt.f64 (-.f64 x (*.f64 (/.f64 y a) z))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (/.f64 y a) z))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 y a) z)) 2) (*.f64 (/.f64 y a) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 x (*.f64 (/.f64 y a) z))) (sqrt.f64 (-.f64 x (*.f64 (/.f64 y a) z))) (+.f64 (/.f64 (*.f64 y (neg.f64 z)) a) (*.f64 (/.f64 y a) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (/.f64 y a) z)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 y a) z))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (*.f64 y (neg.f64 z)) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (/.f64 (*.f64 y (neg.f64 z)) a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (neg.f64 z)) (/.f64 1 a) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (/.f64 y a) z) 3)) (/.f64 1 (fma.f64 (*.f64 (/.f64 y a) z) (fma.f64 (/.f64 y a) z x) (*.f64 x x))) (fma.f64 (neg.f64 (/.f64 1 a)) (*.f64 y z) (*.f64 (/.f64 y a) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (/.f64 y a) z) 3)) (/.f64 1 (fma.f64 (*.f64 (/.f64 y a) z) (fma.f64 (/.f64 y a) z x) (*.f64 x x))) (fma.f64 (/.f64 (*.f64 y (neg.f64 z)) a) 1 (*.f64 (/.f64 y a) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (/.f64 y a) z) 3)) (/.f64 1 (fma.f64 (*.f64 (/.f64 y a) z) (fma.f64 (/.f64 y a) z x) (*.f64 x x))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (/.f64 y a) z))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 y a) z)) 2) (*.f64 (/.f64 y a) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (/.f64 y a) z) 3)) (/.f64 1 (fma.f64 (*.f64 (/.f64 y a) z) (fma.f64 (/.f64 y a) z x) (*.f64 x x))) (+.f64 (/.f64 (*.f64 y (neg.f64 z)) a) (*.f64 (/.f64 y a) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 y a) z) 2)) (/.f64 1 (fma.f64 (/.f64 y a) z x)) (fma.f64 (neg.f64 (/.f64 1 a)) (*.f64 y z) (*.f64 (/.f64 y a) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 y a) z) 2)) (/.f64 1 (fma.f64 (/.f64 y a) z x)) (fma.f64 (/.f64 (*.f64 y (neg.f64 z)) a) 1 (*.f64 (/.f64 y a) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 y a) z) 2)) (/.f64 1 (fma.f64 (/.f64 y a) z x)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (/.f64 y a) z))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 y a) z)) 2) (*.f64 (/.f64 y a) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 y a) z) 2)) (/.f64 1 (fma.f64 (/.f64 y a) z x)) (+.f64 (/.f64 (*.f64 y (neg.f64 z)) a) (*.f64 (/.f64 y a) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 y (neg.f64 z)) a)) 2) (cbrt.f64 (/.f64 (*.f64 y (neg.f64 z)) a)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (*.f64 y (neg.f64 z)) a)) (sqrt.f64 (/.f64 (*.f64 y (neg.f64 z)) a)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 y a) z))) (sqrt.f64 (*.f64 (/.f64 y a) z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 (/.f64 y a) z) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (/.f64 y a) z))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (/.f64 y a) z))) (fma.f64 (neg.f64 (/.f64 1 a)) (*.f64 y z) (*.f64 (/.f64 y a) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (/.f64 y a) z))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (/.f64 y a) z))) (fma.f64 (/.f64 (*.f64 y (neg.f64 z)) a) 1 (*.f64 (/.f64 y a) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (/.f64 y a) z))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (/.f64 y a) z))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (/.f64 y a) z))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 y a) z)) 2) (*.f64 (/.f64 y a) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (/.f64 y a) z))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (/.f64 y a) z))) (+.f64 (/.f64 (*.f64 y (neg.f64 z)) a) (*.f64 (/.f64 y a) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y a) z)) 2)) (cbrt.f64 (*.f64 (/.f64 y a) z)) x)))))

simplify60.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

365×	`fma-def_binary64`
220×	`fma-neg_binary64`
81×	`cancel-sign-sub-inv_binary64`
54×	`associate-/l*_binary64`
44×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	456
1	19	420
2	41	420
3	80	420
4	141	420
5	214	420
6	300	420
7	378	420
8	482	420
9	747	420
10	1169	420
11	1323	420
12	1440	420
13	1445	420

Stop Event

1×

saturated

Counts

298 → 256

Calls

Call 1

Inputs
(.f64 -1 (/.f64 (.f64 y z) a))
(+.f64 x (.f64 -1 (/.f64 (.f64 y z) a)))
(+.f64 x (.f64 -1 (/.f64 (.f64 y z) a)))
(+.f64 x (.f64 -1 (/.f64 (.f64 y z) a)))
x
(+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x)
x
(+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x)
x
(+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x)
(.f64 -1 (/.f64 (.f64 y z) a))
(+.f64 x (.f64 -1 (/.f64 (.f64 y z) a)))
(+.f64 x (.f64 -1 (/.f64 (.f64 y z) a)))
(+.f64 x (.f64 -1 (/.f64 (.f64 y z) a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(+.f64 x (.f64 -1 (/.f64 (.f64 y z) a)))
(+.f64 x (.f64 -1 (/.f64 (.f64 y z) a)))
(+.f64 x (.f64 -1 (/.f64 (.f64 y z) a)))
x
(+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x)
(.f64 -1 (/.f64 (.f64 y z) a))
(+.f64 x (.f64 -1 (/.f64 (.f64 y z) a)))
(+.f64 x (.f64 -1 (/.f64 (.f64 y z) a)))
(+.f64 x (.f64 -1 (/.f64 (.f64 y z) a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(+.f64 x (.f64 -1 (/.f64 (.f64 y z) a)))
(+.f64 x (.f64 -1 (/.f64 (.f64 y z) a)))
(+.f64 x (.f64 -1 (/.f64 (.f64 y z) a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(+.f64 x (.f64 -1 (/.f64 (.f64 y z) a)))
(+.f64 x (.f64 -1 (/.f64 (.f64 y z) a)))
(+.f64 x (.f64 -1 (/.f64 (.f64 y z) a)))
x
(+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x)
x
(+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x)

Outputs
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 y) (/.f64 a z))
(*.f64 (/.f64 y a) (neg.f64 z))
(*.f64 y (/.f64 (neg.f64 z) a))
(+.f64 x (.f64 -1 (/.f64 (.f64 y z) a)))
(fma.f64 -1 (/.f64 y (/.f64 a z)) x)
(-.f64 x (*.f64 (/.f64 y a) z))
(-.f64 x (*.f64 z (/.f64 y a)))
(+.f64 x (.f64 -1 (/.f64 (.f64 y z) a)))
(fma.f64 -1 (/.f64 y (/.f64 a z)) x)
(-.f64 x (*.f64 (/.f64 y a) z))
(-.f64 x (*.f64 z (/.f64 y a)))
(+.f64 x (.f64 -1 (/.f64 (.f64 y z) a)))
(fma.f64 -1 (/.f64 y (/.f64 a z)) x)
(-.f64 x (*.f64 (/.f64 y a) z))
(-.f64 x (*.f64 z (/.f64 y a)))
x
(+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x)
(fma.f64 -1 (/.f64 y (/.f64 a z)) x)
(-.f64 x (*.f64 (/.f64 y a) z))
(-.f64 x (*.f64 z (/.f64 y a)))
(+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x)
(fma.f64 -1 (/.f64 y (/.f64 a z)) x)
(-.f64 x (*.f64 (/.f64 y a) z))
(-.f64 x (*.f64 z (/.f64 y a)))
(+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x)
(fma.f64 -1 (/.f64 y (/.f64 a z)) x)
(-.f64 x (*.f64 (/.f64 y a) z))
(-.f64 x (*.f64 z (/.f64 y a)))
x
(+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x)
(fma.f64 -1 (/.f64 y (/.f64 a z)) x)
(-.f64 x (*.f64 (/.f64 y a) z))
(-.f64 x (*.f64 z (/.f64 y a)))
(+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x)
(fma.f64 -1 (/.f64 y (/.f64 a z)) x)
(-.f64 x (*.f64 (/.f64 y a) z))
(-.f64 x (*.f64 z (/.f64 y a)))
(+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x)
(fma.f64 -1 (/.f64 y (/.f64 a z)) x)
(-.f64 x (*.f64 (/.f64 y a) z))
(-.f64 x (*.f64 z (/.f64 y a)))
x
(+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x)
(fma.f64 -1 (/.f64 y (/.f64 a z)) x)
(-.f64 x (*.f64 (/.f64 y a) z))
(-.f64 x (*.f64 z (/.f64 y a)))
(+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x)
(fma.f64 -1 (/.f64 y (/.f64 a z)) x)
(-.f64 x (*.f64 (/.f64 y a) z))
(-.f64 x (*.f64 z (/.f64 y a)))
(+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x)
(fma.f64 -1 (/.f64 y (/.f64 a z)) x)
(-.f64 x (*.f64 (/.f64 y a) z))
(-.f64 x (*.f64 z (/.f64 y a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 y) (/.f64 a z))
(*.f64 (/.f64 y a) (neg.f64 z))
(*.f64 y (/.f64 (neg.f64 z) a))
(+.f64 x (.f64 -1 (/.f64 (.f64 y z) a)))
(fma.f64 -1 (/.f64 y (/.f64 a z)) x)
(-.f64 x (*.f64 (/.f64 y a) z))
(-.f64 x (*.f64 z (/.f64 y a)))
(+.f64 x (.f64 -1 (/.f64 (.f64 y z) a)))
(fma.f64 -1 (/.f64 y (/.f64 a z)) x)
(-.f64 x (*.f64 (/.f64 y a) z))
(-.f64 x (*.f64 z (/.f64 y a)))
(+.f64 x (.f64 -1 (/.f64 (.f64 y z) a)))
(fma.f64 -1 (/.f64 y (/.f64 a z)) x)
(-.f64 x (*.f64 (/.f64 y a) z))
(-.f64 x (*.f64 z (/.f64 y a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 y) (/.f64 a z))
(*.f64 (/.f64 y a) (neg.f64 z))
(*.f64 y (/.f64 (neg.f64 z) a))
(+.f64 x (.f64 -1 (/.f64 (.f64 y z) a)))
(fma.f64 -1 (/.f64 y (/.f64 a z)) x)
(-.f64 x (*.f64 (/.f64 y a) z))
(-.f64 x (*.f64 z (/.f64 y a)))
(+.f64 x (.f64 -1 (/.f64 (.f64 y z) a)))
(fma.f64 -1 (/.f64 y (/.f64 a z)) x)
(-.f64 x (*.f64 (/.f64 y a) z))
(-.f64 x (*.f64 z (/.f64 y a)))
(+.f64 x (.f64 -1 (/.f64 (.f64 y z) a)))
(fma.f64 -1 (/.f64 y (/.f64 a z)) x)
(-.f64 x (*.f64 (/.f64 y a) z))
(-.f64 x (*.f64 z (/.f64 y a)))
x
(+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x)
(fma.f64 -1 (/.f64 y (/.f64 a z)) x)
(-.f64 x (*.f64 (/.f64 y a) z))
(-.f64 x (*.f64 z (/.f64 y a)))
(+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x)
(fma.f64 -1 (/.f64 y (/.f64 a z)) x)
(-.f64 x (*.f64 (/.f64 y a) z))
(-.f64 x (*.f64 z (/.f64 y a)))
(+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x)
(fma.f64 -1 (/.f64 y (/.f64 a z)) x)
(-.f64 x (*.f64 (/.f64 y a) z))
(-.f64 x (*.f64 z (/.f64 y a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 y) (/.f64 a z))
(*.f64 (/.f64 y a) (neg.f64 z))
(*.f64 y (/.f64 (neg.f64 z) a))
(+.f64 x (.f64 -1 (/.f64 (.f64 y z) a)))
(fma.f64 -1 (/.f64 y (/.f64 a z)) x)
(-.f64 x (*.f64 (/.f64 y a) z))
(-.f64 x (*.f64 z (/.f64 y a)))
(+.f64 x (.f64 -1 (/.f64 (.f64 y z) a)))
(fma.f64 -1 (/.f64 y (/.f64 a z)) x)
(-.f64 x (*.f64 (/.f64 y a) z))
(-.f64 x (*.f64 z (/.f64 y a)))
(+.f64 x (.f64 -1 (/.f64 (.f64 y z) a)))
(fma.f64 -1 (/.f64 y (/.f64 a z)) x)
(-.f64 x (*.f64 (/.f64 y a) z))
(-.f64 x (*.f64 z (/.f64 y a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 y) (/.f64 a z))
(*.f64 (/.f64 y a) (neg.f64 z))
(*.f64 y (/.f64 (neg.f64 z) a))
(+.f64 x (.f64 -1 (/.f64 (.f64 y z) a)))
(fma.f64 -1 (/.f64 y (/.f64 a z)) x)
(-.f64 x (*.f64 (/.f64 y a) z))
(-.f64 x (*.f64 z (/.f64 y a)))
(+.f64 x (.f64 -1 (/.f64 (.f64 y z) a)))
(fma.f64 -1 (/.f64 y (/.f64 a z)) x)
(-.f64 x (*.f64 (/.f64 y a) z))
(-.f64 x (*.f64 z (/.f64 y a)))
(+.f64 x (.f64 -1 (/.f64 (.f64 y z) a)))
(fma.f64 -1 (/.f64 y (/.f64 a z)) x)
(-.f64 x (*.f64 (/.f64 y a) z))
(-.f64 x (*.f64 z (/.f64 y a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 y) (/.f64 a z))
(*.f64 (/.f64 y a) (neg.f64 z))
(*.f64 y (/.f64 (neg.f64 z) a))
(+.f64 x (.f64 -1 (/.f64 (.f64 y z) a)))
(fma.f64 -1 (/.f64 y (/.f64 a z)) x)
(-.f64 x (*.f64 (/.f64 y a) z))
(-.f64 x (*.f64 z (/.f64 y a)))
(+.f64 x (.f64 -1 (/.f64 (.f64 y z) a)))
(fma.f64 -1 (/.f64 y (/.f64 a z)) x)
(-.f64 x (*.f64 (/.f64 y a) z))
(-.f64 x (*.f64 z (/.f64 y a)))
(+.f64 x (.f64 -1 (/.f64 (.f64 y z) a)))
(fma.f64 -1 (/.f64 y (/.f64 a z)) x)
(-.f64 x (*.f64 (/.f64 y a) z))
(-.f64 x (*.f64 z (/.f64 y a)))
x
(+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x)
(fma.f64 -1 (/.f64 y (/.f64 a z)) x)
(-.f64 x (*.f64 (/.f64 y a) z))
(-.f64 x (*.f64 z (/.f64 y a)))
(+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x)
(fma.f64 -1 (/.f64 y (/.f64 a z)) x)
(-.f64 x (*.f64 (/.f64 y a) z))
(-.f64 x (*.f64 z (/.f64 y a)))
(+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x)
(fma.f64 -1 (/.f64 y (/.f64 a z)) x)
(-.f64 x (*.f64 (/.f64 y a) z))
(-.f64 x (*.f64 z (/.f64 y a)))
x
(+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x)
(fma.f64 -1 (/.f64 y (/.f64 a z)) x)
(-.f64 x (*.f64 (/.f64 y a) z))
(-.f64 x (*.f64 z (/.f64 y a)))
(+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x)
(fma.f64 -1 (/.f64 y (/.f64 a z)) x)
(-.f64 x (*.f64 (/.f64 y a) z))
(-.f64 x (*.f64 z (/.f64 y a)))
(+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x)
(fma.f64 -1 (/.f64 y (/.f64 a z)) x)
(-.f64 x (*.f64 (/.f64 y a) z))
(-.f64 x (*.f64 z (/.f64 y a)))

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (.f64 (/.f64 1 a) (.f64 y (-.f64 z t))))
	0.0b	(*.f64 y (-.f64 z t))
✓	9.2b	(.f64 (/.f64 1 a) (.f64 y (-.f64 z t)))

Compiler

Compiled 42 to 17 computations (59.5% saved)

series9.0ms (0.1%)

Counts

2 → 108

Calls

27 calls:

Time	Variable		Point	Expression
1.0ms	t	@	0	(-.f64 x (.f64 (/.f64 1 a) (.f64 y (-.f64 z t))))
1.0ms	a	@	inf	(.f64 (/.f64 1 a) (.f64 y (-.f64 z t)))
0.0ms	a	@	-inf	(.f64 (/.f64 1 a) (.f64 y (-.f64 z t)))
0.0ms	a	@	0	(.f64 (/.f64 1 a) (.f64 y (-.f64 z t)))
0.0ms	t	@	-inf	(.f64 (/.f64 1 a) (.f64 y (-.f64 z t)))

rewrite83.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

694×	`log-prod_binary64`
408×	`fma-def_binary64`
354×	`pow2_binary64`
244×	`pow1/3_binary64`
240×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	23
1	263	23
2	3748	23

Stop Event

1×	node limit

Counts

2 → 148

Calls

Call 1

Inputs
(.f64 (/.f64 1 a) (.f64 y (-.f64 z t)))
(-.f64 x (.f64 (/.f64 1 a) (.f64 y (-.f64 z t))))

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (neg.f64 (*.f64 (-.f64 z t) (/.f64 y a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (neg.f64 (*.f64 (-.f64 z t) (/.f64 y a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 (-.f64 z t) (/.f64 y a))) (fma.f64 (neg.f64 (*.f64 (-.f64 z t) (/.f64 y a))) 1 (*.f64 (-.f64 z t) (/.f64 y a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 (-.f64 z t) (/.f64 y a))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (-.f64 z t) (/.f64 y a)))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 z t) (/.f64 y a))) 2) (*.f64 (-.f64 z t) (/.f64 y a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 (-.f64 z t) (/.f64 y a))) (fma.f64 (/.f64 -1 a) (*.f64 y (-.f64 z t)) (*.f64 (-.f64 z t) (/.f64 y a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 (-.f64 z t) (/.f64 y a))) (fma.f64 (neg.f64 (-.f64 z t)) (/.f64 y a) (*.f64 (-.f64 z t) (/.f64 y a))))))) (#(struct:change #<rule egg-rr> (2) ((x 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simplify123.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

993×	`fma-def_binary64`
730×	`fma-neg_binary64`
281×	`cancel-sign-sub-inv_binary64`
132×	`distribute-rgt-in_binary64`
109×	`unsub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	37	1205
1	94	1158
2	206	1148
3	458	1058
4	1125	1058
5	2537	1058
6	3552	1058
7	3883	1058
8	3993	1058
9	4000	1058
10	4000	1058

Stop Event

1×

saturated

Counts

256 → 175

Calls

Call 1

Inputs
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 (*.f64 y (-.f64 z t)) a)
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(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 (*.f64 y (-.f64 z t)) a)
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(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 (*.f64 y (-.f64 z t)) a)
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Outputs
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(-.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)) x)
(fma.f64 -1 (/.f64 y (/.f64 a (-.f64 z t))) x)
(-.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
(fma.f64 (/.f64 y a) (-.f64 t z) x)
x
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(fma.f64 -1 (/.f64 y (/.f64 a (-.f64 z t))) x)
(-.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(fma.f64 -1 (/.f64 y (/.f64 a (-.f64 z t))) x)
(-.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(fma.f64 -1 (/.f64 y (/.f64 a (-.f64 z t))) x)
(-.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y)
(neg.f64 (/.f64 y (/.f64 a (-.f64 z t))))
(/.f64 (neg.f64 (*.f64 y (-.f64 z t))) a)
(*.f64 (/.f64 y a) (-.f64 t z))
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(fma.f64 -1 (/.f64 y (/.f64 a (-.f64 z t))) x)
(-.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(fma.f64 -1 (/.f64 y (/.f64 a (-.f64 z t))) x)
(-.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(fma.f64 -1 (/.f64 y (/.f64 a (-.f64 z t))) x)
(-.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a))
(neg.f64 (/.f64 y (/.f64 a (-.f64 z t))))
(/.f64 (neg.f64 (*.f64 y (-.f64 z t))) a)
(*.f64 (/.f64 y a) (-.f64 t z))
(+.f64 x (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)))
(fma.f64 -1 (/.f64 y (/.f64 a (-.f64 z t))) x)
(-.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(+.f64 x (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)))
(fma.f64 -1 (/.f64 y (/.f64 a (-.f64 z t))) x)
(-.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(+.f64 x (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)))
(fma.f64 -1 (/.f64 y (/.f64 a (-.f64 z t))) x)
(-.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(-.f64 x (.f64 -1 (/.f64 (.f64 y t) a)))
(-.f64 x (neg.f64 (/.f64 y (/.f64 a t))))
(+.f64 (/.f64 t (/.f64 a y)) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x) (.f64 -1 (/.f64 (.f64 y t) a)))
(fma.f64 -1 (/.f64 y (/.f64 a (-.f64 z t))) x)
(-.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x) (.f64 -1 (/.f64 (.f64 y t) a)))
(fma.f64 -1 (/.f64 y (/.f64 a (-.f64 z t))) x)
(-.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x) (.f64 -1 (/.f64 (.f64 y t) a)))
(fma.f64 -1 (/.f64 y (/.f64 a (-.f64 z t))) x)
(-.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 (*.f64 y z) a))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 y (/.f64 (neg.f64 z) a))
(*.f64 (neg.f64 z) (/.f64 y a))
(*.f64 z (neg.f64 (/.f64 y a)))
(-.f64 (+.f64 x (.f64 -1 (/.f64 (.f64 y z) a))) (.f64 -1 (/.f64 (.f64 y t) a)))
(fma.f64 -1 (/.f64 y (/.f64 a (-.f64 z t))) x)
(-.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(-.f64 (+.f64 x (.f64 -1 (/.f64 (.f64 y z) a))) (.f64 -1 (/.f64 (.f64 y t) a)))
(fma.f64 -1 (/.f64 y (/.f64 a (-.f64 z t))) x)
(-.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(-.f64 (+.f64 x (.f64 -1 (/.f64 (.f64 y z) a))) (.f64 -1 (/.f64 (.f64 y t) a)))
(fma.f64 -1 (/.f64 y (/.f64 a (-.f64 z t))) x)
(-.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 (*.f64 y z) a))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 y (/.f64 (neg.f64 z) a))
(*.f64 (neg.f64 z) (/.f64 y a))
(*.f64 z (neg.f64 (/.f64 y a)))
(-.f64 (+.f64 x (.f64 -1 (/.f64 (.f64 y z) a))) (.f64 -1 (/.f64 (.f64 y t) a)))
(fma.f64 -1 (/.f64 y (/.f64 a (-.f64 z t))) x)
(-.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(-.f64 (+.f64 x (.f64 -1 (/.f64 (.f64 y z) a))) (.f64 -1 (/.f64 (.f64 y t) a)))
(fma.f64 -1 (/.f64 y (/.f64 a (-.f64 z t))) x)
(-.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(-.f64 (+.f64 x (.f64 -1 (/.f64 (.f64 y z) a))) (.f64 -1 (/.f64 (.f64 y t) a)))
(fma.f64 -1 (/.f64 y (/.f64 a (-.f64 z t))) x)
(-.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(-.f64 x (/.f64 (*.f64 y z) a))
(-.f64 x (/.f64 z (/.f64 a y)))
(-.f64 x (*.f64 y (/.f64 z a)))
(-.f64 (+.f64 (/.f64 (.f64 y t) a) x) (/.f64 (.f64 y z) a))
(fma.f64 -1 (/.f64 y (/.f64 a (-.f64 z t))) x)
(-.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(-.f64 (+.f64 (/.f64 (.f64 y t) a) x) (/.f64 (.f64 y z) a))
(fma.f64 -1 (/.f64 y (/.f64 a (-.f64 z t))) x)
(-.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(-.f64 (+.f64 (/.f64 (.f64 y t) a) x) (/.f64 (.f64 y z) a))
(fma.f64 -1 (/.f64 y (/.f64 a (-.f64 z t))) x)
(-.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t a))
(-.f64 (+.f64 (/.f64 (.f64 y t) a) x) (/.f64 (.f64 y z) a))
(fma.f64 -1 (/.f64 y (/.f64 a (-.f64 z t))) x)
(-.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(-.f64 (+.f64 (/.f64 (.f64 y t) a) x) (/.f64 (.f64 y z) a))
(fma.f64 -1 (/.f64 y (/.f64 a (-.f64 z t))) x)
(-.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(-.f64 (+.f64 (/.f64 (.f64 y t) a) x) (/.f64 (.f64 y z) a))
(fma.f64 -1 (/.f64 y (/.f64 a (-.f64 z t))) x)
(-.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t a))
(-.f64 (+.f64 (/.f64 (.f64 y t) a) x) (/.f64 (.f64 y z) a))
(fma.f64 -1 (/.f64 y (/.f64 a (-.f64 z t))) x)
(-.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(-.f64 (+.f64 (/.f64 (.f64 y t) a) x) (/.f64 (.f64 y z) a))
(fma.f64 -1 (/.f64 y (/.f64 a (-.f64 z t))) x)
(-.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
(fma.f64 (/.f64 y a) (-.f64 t z) x)
(-.f64 (+.f64 (/.f64 (.f64 y t) a) x) (/.f64 (.f64 y z) a))
(fma.f64 -1 (/.f64 y (/.f64 a (-.f64 z t))) x)
(-.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
(fma.f64 (/.f64 y a) (-.f64 t z) x)

eval207.0ms (1.6%)

Compiler: Compiled 14128 to 3777 computations (73.3% saved)

prune304.0ms (2.3%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	677	11	688
Fresh	10	3	13
Picked	1	0	1
Done	2	2	4
Total	690	16	706

Error

Counts

706 → 16

Alt Table

Click to see full alt table

Status	Error	Program
▶	50.6b	(*.f64 z (/.f64 (neg.f64 y) a))
▶	2.0b	(-.f64 x (/.f64 (-.f64 z t) (/.f64 a y)))
▶	13.8b	(-.f64 x (*.f64 t (neg.f64 (/.f64 y a))))
	53.1b	(/.f64 (*.f64 z y) (neg.f64 a))
✓	47.0b	(*.f64 t (/.f64 y a))
▶	49.2b	(*.f64 y (/.f64 t a))
	48.9b	(/.f64 1 (/.f64 a (*.f64 t y)))
	48.9b	(/.f64 (*.f64 y t) a)
	47.1b	(/.f64 t (/.f64 a y))
	17.5b	(-.f64 x (*.f64 (/.f64 y a) z))
	17.5b	(-.f64 x (.f64 z (.f64 y (/.f64 1 a))))
	29.4b	x
✓	51.5b	(*.f64 (/.f64 z a) (neg.f64 y))
	38.5b	(*.f64 (/.f64 (-.f64 t z) a) y)
	8.5b	(-.f64 x (/.f64 1 (/.f64 a (*.f64 y (-.f64 z t)))))
▶	17.1b	(+.f64 (/.f64 (*.f64 y t) a) x)

Compiler

Compiled 341 to 238 computations (30.2% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (/.f64 (-.f64 z t) (/.f64 a y)))
✓	6.4b	(/.f64 (-.f64 z t) (/.f64 a y))

Compiler

Compiled 32 to 9 computations (71.9% saved)

series7.0ms (0.1%)

Counts

2 → 108

Calls

27 calls:

Time	Variable		Point	Expression
0.0ms	z	@	0	(/.f64 (-.f64 z t) (/.f64 a y))
0.0ms	t	@	-inf	(/.f64 (-.f64 z t) (/.f64 a y))
0.0ms	z	@	-inf	(/.f64 (-.f64 z t) (/.f64 a y))
0.0ms	z	@	-inf	(-.f64 x (/.f64 (-.f64 z t) (/.f64 a y)))
0.0ms	y	@	-inf	(/.f64 (-.f64 z t) (/.f64 a y))

rewrite90.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

704×	`log-prod_binary64`
403×	`fma-def_binary64`
344×	`pow2_binary64`
237×	`pow1/3_binary64`
230×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	235	23
2	3830	23

Stop Event

1×	node limit

Counts

2 → 180

Calls

Call 1

Inputs
(/.f64 (-.f64 z t) (/.f64 a y))
(-.f64 x (/.f64 (-.f64 z t) (/.f64 a y)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (/.f64 y a)) (neg.f64 (*.f64 (/.f64 t a) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 z t) (/.f64 y a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 z t)) (/.f64 y a))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 z t)) (/.f64 y a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 z t)) (/.f64 y a)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 z t)) (/.f64 y a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 z (/.f64 y a)) (*.f64 (/.f64 t a) y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 z t) (/.f64 y a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 z t) (/.f64 y a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 (-.f64 z t) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 z t) (/.f64 y a)) 1)))) 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simplify134.0ms (1%)

Algorithm

1×	egg-herbie

Rules

971×	`fma-def_binary64`
730×	`fma-neg_binary64`
281×	`cancel-sign-sub-inv_binary64`
132×	`distribute-rgt-in_binary64`
109×	`unsub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	37	1541
1	94	1158
2	206	1148
3	458	1058
4	1125	1058
5	2533	1058
6	3535	1058
7	3866	1058
8	3976	1058
9	3983	1058
10	3983	1058

Stop Event

1×

saturated

Counts

288 → 207

Calls

Call 1

Inputs
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(/.f64 (*.f64 y z) a)
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(/.f64 (*.f64 y z) a)
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(/.f64 (*.f64 y z) a)
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(.f64 -1 (/.f64 (.f64 y t) a))
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(.f64 -1 (/.f64 (.f64 y t) a))
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(/.f64 (*.f64 y (-.f64 z t)) a)
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(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 (*.f64 y (-.f64 z t)) a)
(.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a))
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x
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)) x)
x
(+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 z t)) a)) x)
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(-.f64 x (.f64 -1 (/.f64 (.f64 y t) a)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x) (.f64 -1 (/.f64 (.f64 y t) a)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x) (.f64 -1 (/.f64 (.f64 y t) a)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x) (.f64 -1 (/.f64 (.f64 y t) a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(-.f64 (+.f64 x (.f64 -1 (/.f64 (.f64 y z) a))) (.f64 -1 (/.f64 (.f64 y t) a)))
(-.f64 (+.f64 x (.f64 -1 (/.f64 (.f64 y z) a))) (.f64 -1 (/.f64 (.f64 y t) a)))
(-.f64 (+.f64 x (.f64 -1 (/.f64 (.f64 y z) a))) (.f64 -1 (/.f64 (.f64 y t) a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(-.f64 (+.f64 x (.f64 -1 (/.f64 (.f64 y z) a))) (.f64 -1 (/.f64 (.f64 y t) a)))
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(-.f64 (+.f64 x (.f64 -1 (/.f64 (.f64 y z) a))) (.f64 -1 (/.f64 (.f64 y t) a)))
(-.f64 x (/.f64 (*.f64 y z) a))
(-.f64 (+.f64 (/.f64 (.f64 y t) a) x) (/.f64 (.f64 y z) a))
(-.f64 (+.f64 (/.f64 (.f64 y t) a) x) (/.f64 (.f64 y z) a))
(-.f64 (+.f64 (/.f64 (.f64 y t) a) x) (/.f64 (.f64 y z) a))
(/.f64 (*.f64 y t) a)
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(/.f64 (*.f64 y t) a)
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(.f64 -1 (/.f64 (.f64 y (-.f64 z t)) a))
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(+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 z t)) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 z t)) a)) x)
x
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x
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x
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
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(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y)
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
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(+.f64 x (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)))
(+.f64 x (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)))

Outputs
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(fma.f64 y (/.f64 (-.f64 t z) a) x)
(-.f64 (+.f64 x (.f64 -1 (/.f64 (.f64 y z) a))) (.f64 -1 (/.f64 (.f64 y t) a)))
(fma.f64 -1 (/.f64 y (/.f64 a (-.f64 z t))) x)
(-.f64 x (*.f64 (/.f64 (-.f64 z t) a) y))
(-.f64 x (*.f64 y (/.f64 (-.f64 z t) a)))
(fma.f64 y (/.f64 (-.f64 t z) a) x)
(-.f64 (+.f64 x (.f64 -1 (/.f64 (.f64 y z) a))) (.f64 -1 (/.f64 (.f64 y t) a)))
(fma.f64 -1 (/.f64 y (/.f64 a (-.f64 z t))) x)
(-.f64 x (*.f64 (/.f64 (-.f64 z t) a) y))
(-.f64 x (*.f64 y (/.f64 (-.f64 z t) a)))
(fma.f64 y (/.f64 (-.f64 t z) a) x)
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 y (/.f64 (neg.f64 z) a))
(-.f64 (+.f64 x (.f64 -1 (/.f64 (.f64 y z) a))) (.f64 -1 (/.f64 (.f64 y t) a)))
(fma.f64 -1 (/.f64 y (/.f64 a (-.f64 z t))) x)
(-.f64 x (*.f64 (/.f64 (-.f64 z t) a) y))
(-.f64 x (*.f64 y (/.f64 (-.f64 z t) a)))
(fma.f64 y (/.f64 (-.f64 t z) a) x)
(-.f64 (+.f64 x (.f64 -1 (/.f64 (.f64 y z) a))) (.f64 -1 (/.f64 (.f64 y t) a)))
(fma.f64 -1 (/.f64 y (/.f64 a (-.f64 z t))) x)
(-.f64 x (*.f64 (/.f64 (-.f64 z t) a) y))
(-.f64 x (*.f64 y (/.f64 (-.f64 z t) a)))
(fma.f64 y (/.f64 (-.f64 t z) a) x)
(-.f64 (+.f64 x (.f64 -1 (/.f64 (.f64 y z) a))) (.f64 -1 (/.f64 (.f64 y t) a)))
(fma.f64 -1 (/.f64 y (/.f64 a (-.f64 z t))) x)
(-.f64 x (*.f64 (/.f64 (-.f64 z t) a) y))
(-.f64 x (*.f64 y (/.f64 (-.f64 z t) a)))
(fma.f64 y (/.f64 (-.f64 t z) a) x)
(-.f64 x (/.f64 (*.f64 y z) a))
(-.f64 x (/.f64 y (/.f64 a z)))
(-.f64 x (*.f64 (/.f64 z a) y))
(fma.f64 y (/.f64 (neg.f64 z) a) x)
(-.f64 (+.f64 (/.f64 (.f64 y t) a) x) (/.f64 (.f64 y z) a))
(fma.f64 -1 (/.f64 y (/.f64 a (-.f64 z t))) x)
(-.f64 x (*.f64 (/.f64 (-.f64 z t) a) y))
(-.f64 x (*.f64 y (/.f64 (-.f64 z t) a)))
(fma.f64 y (/.f64 (-.f64 t z) a) x)
(-.f64 (+.f64 (/.f64 (.f64 y t) a) x) (/.f64 (.f64 y z) a))
(fma.f64 -1 (/.f64 y (/.f64 a (-.f64 z t))) x)
(-.f64 x (*.f64 (/.f64 (-.f64 z t) a) y))
(-.f64 x (*.f64 y (/.f64 (-.f64 z t) a)))
(fma.f64 y (/.f64 (-.f64 t z) a) x)
(-.f64 (+.f64 (/.f64 (.f64 y t) a) x) (/.f64 (.f64 y z) a))
(fma.f64 -1 (/.f64 y (/.f64 a (-.f64 z t))) x)
(-.f64 x (*.f64 (/.f64 (-.f64 z t) a) y))
(-.f64 x (*.f64 y (/.f64 (-.f64 z t) a)))
(fma.f64 y (/.f64 (-.f64 t z) a) x)
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 y (/.f64 t a))
(-.f64 (+.f64 (/.f64 (.f64 y t) a) x) (/.f64 (.f64 y z) a))
(fma.f64 -1 (/.f64 y (/.f64 a (-.f64 z t))) x)
(-.f64 x (*.f64 (/.f64 (-.f64 z t) a) y))
(-.f64 x (*.f64 y (/.f64 (-.f64 z t) a)))
(fma.f64 y (/.f64 (-.f64 t z) a) x)
(-.f64 (+.f64 (/.f64 (.f64 y t) a) x) (/.f64 (.f64 y z) a))
(fma.f64 -1 (/.f64 y (/.f64 a (-.f64 z t))) x)
(-.f64 x (*.f64 (/.f64 (-.f64 z t) a) y))
(-.f64 x (*.f64 y (/.f64 (-.f64 z t) a)))
(fma.f64 y (/.f64 (-.f64 t z) a) x)
(-.f64 (+.f64 (/.f64 (.f64 y t) a) x) (/.f64 (.f64 y z) a))
(fma.f64 -1 (/.f64 y (/.f64 a (-.f64 z t))) x)
(-.f64 x (*.f64 (/.f64 (-.f64 z t) a) y))
(-.f64 x (*.f64 y (/.f64 (-.f64 z t) a)))
(fma.f64 y (/.f64 (-.f64 t z) a) x)
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 y (/.f64 t a))
(-.f64 (+.f64 (/.f64 (.f64 y t) a) x) (/.f64 (.f64 y z) a))
(fma.f64 -1 (/.f64 y (/.f64 a (-.f64 z t))) x)
(-.f64 x (*.f64 (/.f64 (-.f64 z t) a) y))
(-.f64 x (*.f64 y (/.f64 (-.f64 z t) a)))
(fma.f64 y (/.f64 (-.f64 t z) a) x)
(-.f64 (+.f64 (/.f64 (.f64 y t) a) x) (/.f64 (.f64 y z) a))
(fma.f64 -1 (/.f64 y (/.f64 a (-.f64 z t))) x)
(-.f64 x (*.f64 (/.f64 (-.f64 z t) a) y))
(-.f64 x (*.f64 y (/.f64 (-.f64 z t) a)))
(fma.f64 y (/.f64 (-.f64 t z) a) x)
(-.f64 (+.f64 (/.f64 (.f64 y t) a) x) (/.f64 (.f64 y z) a))
(fma.f64 -1 (/.f64 y (/.f64 a (-.f64 z t))) x)
(-.f64 x (*.f64 (/.f64 (-.f64 z t) a) y))
(-.f64 x (*.f64 y (/.f64 (-.f64 z t) a)))
(fma.f64 y (/.f64 (-.f64 t z) a) x)
(.f64 -1 (/.f64 (.f64 y (-.f64 z t)) a))
(neg.f64 (/.f64 y (/.f64 a (-.f64 z t))))
(/.f64 (neg.f64 (*.f64 y (-.f64 z t))) a)
(*.f64 (/.f64 y a) (-.f64 t z))
(/.f64 y (/.f64 a (-.f64 t z)))
(+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 z t)) a)) x)
(fma.f64 -1 (/.f64 y (/.f64 a (-.f64 z t))) x)
(-.f64 x (*.f64 (/.f64 (-.f64 z t) a) y))
(-.f64 x (*.f64 y (/.f64 (-.f64 z t) a)))
(fma.f64 y (/.f64 (-.f64 t z) a) x)
(+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 z t)) a)) x)
(fma.f64 -1 (/.f64 y (/.f64 a (-.f64 z t))) x)
(-.f64 x (*.f64 (/.f64 (-.f64 z t) a) y))
(-.f64 x (*.f64 y (/.f64 (-.f64 z t) a)))
(fma.f64 y (/.f64 (-.f64 t z) a) x)
(+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 z t)) a)) x)
(fma.f64 -1 (/.f64 y (/.f64 a (-.f64 z t))) x)
(-.f64 x (*.f64 (/.f64 (-.f64 z t) a) y))
(-.f64 x (*.f64 y (/.f64 (-.f64 z t) a)))
(fma.f64 y (/.f64 (-.f64 t z) a) x)
x
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)) x)
(fma.f64 -1 (/.f64 y (/.f64 a (-.f64 z t))) x)
(-.f64 x (*.f64 (/.f64 (-.f64 z t) a) y))
(-.f64 x (*.f64 y (/.f64 (-.f64 z t) a)))
(fma.f64 y (/.f64 (-.f64 t z) a) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)) x)
(fma.f64 -1 (/.f64 y (/.f64 a (-.f64 z t))) x)
(-.f64 x (*.f64 (/.f64 (-.f64 z t) a) y))
(-.f64 x (*.f64 y (/.f64 (-.f64 z t) a)))
(fma.f64 y (/.f64 (-.f64 t z) a) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)) x)
(fma.f64 -1 (/.f64 y (/.f64 a (-.f64 z t))) x)
(-.f64 x (*.f64 (/.f64 (-.f64 z t) a) y))
(-.f64 x (*.f64 y (/.f64 (-.f64 z t) a)))
(fma.f64 y (/.f64 (-.f64 t z) a) x)
x
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)) x)
(fma.f64 -1 (/.f64 y (/.f64 a (-.f64 z t))) x)
(-.f64 x (*.f64 (/.f64 (-.f64 z t) a) y))
(-.f64 x (*.f64 y (/.f64 (-.f64 z t) a)))
(fma.f64 y (/.f64 (-.f64 t z) a) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)) x)
(fma.f64 -1 (/.f64 y (/.f64 a (-.f64 z t))) x)
(-.f64 x (*.f64 (/.f64 (-.f64 z t) a) y))
(-.f64 x (*.f64 y (/.f64 (-.f64 z t) a)))
(fma.f64 y (/.f64 (-.f64 t z) a) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)) x)
(fma.f64 -1 (/.f64 y (/.f64 a (-.f64 z t))) x)
(-.f64 x (*.f64 (/.f64 (-.f64 z t) a) y))
(-.f64 x (*.f64 y (/.f64 (-.f64 z t) a)))
(fma.f64 y (/.f64 (-.f64 t z) a) x)
x
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(fma.f64 -1 (/.f64 y (/.f64 a (-.f64 z t))) x)
(-.f64 x (*.f64 (/.f64 (-.f64 z t) a) y))
(-.f64 x (*.f64 y (/.f64 (-.f64 z t) a)))
(fma.f64 y (/.f64 (-.f64 t z) a) x)
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(fma.f64 -1 (/.f64 y (/.f64 a (-.f64 z t))) x)
(-.f64 x (*.f64 (/.f64 (-.f64 z t) a) y))
(-.f64 x (*.f64 y (/.f64 (-.f64 z t) a)))
(fma.f64 y (/.f64 (-.f64 t z) a) x)
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(fma.f64 -1 (/.f64 y (/.f64 a (-.f64 z t))) x)
(-.f64 x (*.f64 (/.f64 (-.f64 z t) a) y))
(-.f64 x (*.f64 y (/.f64 (-.f64 z t) a)))
(fma.f64 y (/.f64 (-.f64 t z) a) x)
(*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y)
(neg.f64 (/.f64 y (/.f64 a (-.f64 z t))))
(/.f64 (neg.f64 (*.f64 y (-.f64 z t))) a)
(*.f64 (/.f64 y a) (-.f64 t z))
(/.f64 y (/.f64 a (-.f64 t z)))
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(fma.f64 -1 (/.f64 y (/.f64 a (-.f64 z t))) x)
(-.f64 x (*.f64 (/.f64 (-.f64 z t) a) y))
(-.f64 x (*.f64 y (/.f64 (-.f64 z t) a)))
(fma.f64 y (/.f64 (-.f64 t z) a) x)
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(fma.f64 -1 (/.f64 y (/.f64 a (-.f64 z t))) x)
(-.f64 x (*.f64 (/.f64 (-.f64 z t) a) y))
(-.f64 x (*.f64 y (/.f64 (-.f64 z t) a)))
(fma.f64 y (/.f64 (-.f64 t z) a) x)
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(fma.f64 -1 (/.f64 y (/.f64 a (-.f64 z t))) x)
(-.f64 x (*.f64 (/.f64 (-.f64 z t) a) y))
(-.f64 x (*.f64 y (/.f64 (-.f64 z t) a)))
(fma.f64 y (/.f64 (-.f64 t z) a) x)
(.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a))
(neg.f64 (/.f64 y (/.f64 a (-.f64 z t))))
(/.f64 (neg.f64 (*.f64 y (-.f64 z t))) a)
(*.f64 (/.f64 y a) (-.f64 t z))
(/.f64 y (/.f64 a (-.f64 t z)))
(+.f64 x (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)))
(fma.f64 -1 (/.f64 y (/.f64 a (-.f64 z t))) x)
(-.f64 x (*.f64 (/.f64 (-.f64 z t) a) y))
(-.f64 x (*.f64 y (/.f64 (-.f64 z t) a)))
(fma.f64 y (/.f64 (-.f64 t z) a) x)
(+.f64 x (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)))
(fma.f64 -1 (/.f64 y (/.f64 a (-.f64 z t))) x)
(-.f64 x (*.f64 (/.f64 (-.f64 z t) a) y))
(-.f64 x (*.f64 y (/.f64 (-.f64 z t) a)))
(fma.f64 y (/.f64 (-.f64 t z) a) x)
(+.f64 x (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)))
(fma.f64 -1 (/.f64 y (/.f64 a (-.f64 z t))) x)
(-.f64 x (*.f64 (/.f64 (-.f64 z t) a) y))
(-.f64 x (*.f64 y (/.f64 (-.f64 z t) a)))
(fma.f64 y (/.f64 (-.f64 t z) a) x)

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	6.7b	(*.f64 y (/.f64 t a))

Compiler

Compiled 16 to 7 computations (56.3% saved)

series4.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	a	@	inf	(*.f64 y (/.f64 t a))
0.0ms	a	@	-inf	(*.f64 y (/.f64 t a))
0.0ms	y	@	-inf	(*.f64 y (/.f64 t a))
0.0ms	y	@	inf	(*.f64 y (/.f64 t a))
0.0ms	y	@	0	(*.f64 y (/.f64 t a))

rewrite61.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

681×	`pow1_binary64`
628×	`add-log-exp_binary64`
628×	`log1p-expm1-u_binary64`
628×	`expm1-log1p-u_binary64`
613×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	125	7
2	1672	7

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

Inputs
(*.f64 y (/.f64 t a))

Outputs

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

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
2×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	252
1	9	252
2	13	252
3	16	252
4	17	252

Stop Event

1×

saturated

Counts

58 → 23

Calls

Call 1

Inputs
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)

Outputs
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	3.4b	(*.f64 z (/.f64 (neg.f64 y) a))

Compiler

Compiled 20 to 8 computations (60% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	z	@	0	(*.f64 z (/.f64 (neg.f64 y) a))
0.0ms	z	@	-inf	(*.f64 z (/.f64 (neg.f64 y) a))
0.0ms	y	@	-inf	(*.f64 z (/.f64 (neg.f64 y) a))
0.0ms	a	@	inf	(*.f64 z (/.f64 (neg.f64 y) a))
0.0ms	a	@	-inf	(*.f64 z (/.f64 (neg.f64 y) a))

rewrite101.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

695×	`pow1_binary64`
641×	`add-log-exp_binary64`
640×	`log1p-expm1-u_binary64`
640×	`expm1-log1p-u_binary64`
626×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	150	7
2	2150	7

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(*.f64 z (/.f64 (neg.f64 y) a))

Outputs

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

simplify28.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

145×	`fma-def_binary64`
46×	`fma-neg_binary64`
24×	`sub-neg_binary64`
18×	`div-sub_binary64`
14×	`associate-/l*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	324
1	15	324
2	35	324
3	69	324
4	114	324
5	162	324
6	202	324
7	238	324
8	275	324
9	394	324
10	445	324

Stop Event

1×

saturated

Counts

57 → 23

Calls

Call 1

Inputs
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))

Outputs
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 (*.f64 y t) a) x)
✓	7.6b	(/.f64 (*.f64 y t) a)

Compiler

Compiled 24 to 8 computations (66.7% saved)

series6.0ms (0%)

Counts

2 → 12

Calls

21 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(+.f64 (/.f64 (*.f64 y t) a) x)
0.0ms	t	@	-inf	(+.f64 (/.f64 (*.f64 y t) a) x)
0.0ms	y	@	0	(/.f64 (*.f64 y t) a)
0.0ms	t	@	inf	(+.f64 (/.f64 (*.f64 y t) a) x)
0.0ms	y	@	inf	(+.f64 (/.f64 (*.f64 y t) a) x)

rewrite71.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

827×	`prod-diff_binary64`
493×	`log-prod_binary64`
325×	`pow-prod-down_binary64`
277×	`fma-def_binary64`
247×	`pow2_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	175	17
2	2592	15

Stop Event

1×	node limit

Counts

2 → 117

Calls

Call 1

Inputs
(/.f64 (*.f64 y t) a)
(+.f64 (/.f64 (*.f64 y t) a) x)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 y a) t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 y a) t))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 y a) t)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 y a) t)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 y a) t)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 y a) t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (/.f64 a t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 t (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 t (*.f64 y (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y t) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y a) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 y a) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 y a) t)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 y a) t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y a) t)) 2) (cbrt.f64 (*.f64 (/.f64 y a) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y t)) 2) (*.f64 (cbrt.f64 (*.f64 y t)) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 y a) t)) (sqrt.f64 (*.f64 (/.f64 y a) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y t)) (*.f64 (sqrt.f64 (*.f64 y t)) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (neg.f64 t)) (/.f64 1 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (*.f64 y t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 1) (/.f64 t a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 t 1) (/.f64 y a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y a) t)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y t)) 2) 1) (/.f64 (cbrt.f64 (*.f64 y t)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 y t)) 1) (/.f64 (sqrt.f64 (*.f64 y t)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (pow.f64 (cbrt.f64 a) 2)) (/.f64 t (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 t (pow.f64 (cbrt.f64 a) 2)) (/.f64 y (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 a) -2) (/.f64 (*.f64 y t) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y t)) 2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (*.f64 (/.f64 y a) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 y t)) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (sqrt.f64 (*.f64 y t)) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (sqrt.f64 a)) (/.f64 t (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 t (sqrt.f64 a)) (/.f64 y (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 a -1/2) (/.f64 (*.f64 y t) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y t)) 2) (sqrt.f64 a)) (/.f64 (cbrt.f64 (*.f64 y t)) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 y a) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 y a) t) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 y a) t)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 y a) t)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 y a) t) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (*.f64 y t)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 a (*.f64 y t)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 y t) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 y a) t) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 y a) t)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 y a) t))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 y a) t) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 y a) t)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 y a) t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 y a) t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y a) t)) 1))))))

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

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
2×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	48
1	10	48
2	14	48
3	17	48
4	18	48

Stop Event

1×

saturated

Counts

129 → 120

Calls

Call 1

Inputs
x
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
x
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
x
x
(/.f64 (*.f64 y t) a)
x
x

Outputs
x
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
x
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
x
x
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
x
x

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (*.f64 t (neg.f64 (/.f64 y a))))
✓	3.6b	(*.f64 t (neg.f64 (/.f64 y a)))

Compiler

Compiled 30 to 9 computations (70% saved)

series7.0ms (0.1%)

Counts

2 → 84

Calls

21 calls:

Time	Variable		Expression
0.0ms	t	@	(*.f64 t (neg.f64 (/.f64 y a)))
0.0ms	x	@	(-.f64 x (*.f64 t (neg.f64 (/.f64 y a))))
0.0ms	a	@	(*.f64 t (neg.f64 (/.f64 y a)))
0.0ms	y	@	(*.f64 t (neg.f64 (/.f64 y a)))
0.0ms	a	@	(-.f64 x (*.f64 t (neg.f64 (/.f64 y a))))

rewrite97.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

616×	`prod-diff_binary64`
493×	`log-prod_binary64`
307×	`pow-prod-down_binary64`
243×	`pow2_binary64`
210×	`pow-unpow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	203	17
2	3062	15

Stop Event

1×	node limit

Counts

2 → 212

Calls

Call 1

Inputs
(*.f64 t (neg.f64 (/.f64 y a)))
(-.f64 x (*.f64 t (neg.f64 (/.f64 y a))))

Outputs

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y a)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 t (sqrt.f64 (/.f64 y a))) (sqrt.f64 (/.f64 y a)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 t) 1) (/.f64 y a) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 t) (cbrt.f64 (pow.f64 (/.f64 a y) -2))) (cbrt.f64 (/.f64 y a)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 t) (sqrt.f64 (/.f64 y a))) (sqrt.f64 (/.f64 y a)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 t) -1) (/.f64 y a) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 t -1) (/.f64 y a) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 y a) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 y a) (sqrt.f64 t)) (sqrt.f64 t) x)))))

simplify77.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

261×	`fma-def_binary64`
230×	`fma-neg_binary64`
74×	`cancel-sign-sub-inv_binary64`
52×	`associate-/l*_binary64`
42×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	732
1	18	732
2	38	660
3	73	660
4	120	660
5	169	660
6	209	660
7	251	660
8	314	660
9	455	660
10	526	660
11	588	660
12	730	660
13	1019	660
14	1171	660
15	1290	660
16	1295	660

Stop Event

1×

saturated

Counts

296 → 219

Calls

Call 1

Inputs
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(/.f64 (*.f64 y t) a)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
x
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
x
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
x
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(/.f64 (*.f64 y t) a)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(/.f64 (*.f64 y t) a)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
x
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(/.f64 (*.f64 y t) a)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(/.f64 (*.f64 y t) a)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(/.f64 (*.f64 y t) a)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
x
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
x
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)

Outputs
(.f64 -1 (/.f64 (.f64 y t) a))
(neg.f64 (/.f64 y (/.f64 a t)))
(/.f64 (neg.f64 y) (/.f64 a t))
(*.f64 (/.f64 y a) (neg.f64 t))
(*.f64 y (neg.f64 (/.f64 t a)))
(.f64 -1 (/.f64 (.f64 y t) a))
(neg.f64 (/.f64 y (/.f64 a t)))
(/.f64 (neg.f64 y) (/.f64 a t))
(*.f64 (/.f64 y a) (neg.f64 t))
(*.f64 y (neg.f64 (/.f64 t a)))
(.f64 -1 (/.f64 (.f64 y t) a))
(neg.f64 (/.f64 y (/.f64 a t)))
(/.f64 (neg.f64 y) (/.f64 a t))
(*.f64 (/.f64 y a) (neg.f64 t))
(*.f64 y (neg.f64 (/.f64 t a)))
(.f64 -1 (/.f64 (.f64 y t) a))
(neg.f64 (/.f64 y (/.f64 a t)))
(/.f64 (neg.f64 y) (/.f64 a t))
(*.f64 (/.f64 y a) (neg.f64 t))
(*.f64 y (neg.f64 (/.f64 t a)))
(.f64 -1 (/.f64 (.f64 y t) a))
(neg.f64 (/.f64 y (/.f64 a t)))
(/.f64 (neg.f64 y) (/.f64 a t))
(*.f64 (/.f64 y a) (neg.f64 t))
(*.f64 y (neg.f64 (/.f64 t a)))
(.f64 -1 (/.f64 (.f64 y t) a))
(neg.f64 (/.f64 y (/.f64 a t)))
(/.f64 (neg.f64 y) (/.f64 a t))
(*.f64 (/.f64 y a) (neg.f64 t))
(*.f64 y (neg.f64 (/.f64 t a)))
(.f64 -1 (/.f64 (.f64 y t) a))
(neg.f64 (/.f64 y (/.f64 a t)))
(/.f64 (neg.f64 y) (/.f64 a t))
(*.f64 (/.f64 y a) (neg.f64 t))
(*.f64 y (neg.f64 (/.f64 t a)))
(.f64 -1 (/.f64 (.f64 y t) a))
(neg.f64 (/.f64 y (/.f64 a t)))
(/.f64 (neg.f64 y) (/.f64 a t))
(*.f64 (/.f64 y a) (neg.f64 t))
(*.f64 y (neg.f64 (/.f64 t a)))
(.f64 -1 (/.f64 (.f64 y t) a))
(neg.f64 (/.f64 y (/.f64 a t)))
(/.f64 (neg.f64 y) (/.f64 a t))
(*.f64 (/.f64 y a) (neg.f64 t))
(*.f64 y (neg.f64 (/.f64 t a)))
(.f64 -1 (/.f64 (.f64 y t) a))
(neg.f64 (/.f64 y (/.f64 a t)))
(/.f64 (neg.f64 y) (/.f64 a t))
(*.f64 (/.f64 y a) (neg.f64 t))
(*.f64 y (neg.f64 (/.f64 t a)))
(.f64 -1 (/.f64 (.f64 y t) a))
(neg.f64 (/.f64 y (/.f64 a t)))
(/.f64 (neg.f64 y) (/.f64 a t))
(*.f64 (/.f64 y a) (neg.f64 t))
(*.f64 y (neg.f64 (/.f64 t a)))
(.f64 -1 (/.f64 (.f64 y t) a))
(neg.f64 (/.f64 y (/.f64 a t)))
(/.f64 (neg.f64 y) (/.f64 a t))
(*.f64 (/.f64 y a) (neg.f64 t))
(*.f64 y (neg.f64 (/.f64 t a)))
(.f64 -1 (/.f64 (.f64 y t) a))
(neg.f64 (/.f64 y (/.f64 a t)))
(/.f64 (neg.f64 y) (/.f64 a t))
(*.f64 (/.f64 y a) (neg.f64 t))
(*.f64 y (neg.f64 (/.f64 t a)))
(.f64 -1 (/.f64 (.f64 y t) a))
(neg.f64 (/.f64 y (/.f64 a t)))
(/.f64 (neg.f64 y) (/.f64 a t))
(*.f64 (/.f64 y a) (neg.f64 t))
(*.f64 y (neg.f64 (/.f64 t a)))
(.f64 -1 (/.f64 (.f64 y t) a))
(neg.f64 (/.f64 y (/.f64 a t)))
(/.f64 (neg.f64 y) (/.f64 a t))
(*.f64 (/.f64 y a) (neg.f64 t))
(*.f64 y (neg.f64 (/.f64 t a)))
(.f64 -1 (/.f64 (.f64 y t) a))
(neg.f64 (/.f64 y (/.f64 a t)))
(/.f64 (neg.f64 y) (/.f64 a t))
(*.f64 (/.f64 y a) (neg.f64 t))
(*.f64 y (neg.f64 (/.f64 t a)))
(.f64 -1 (/.f64 (.f64 y t) a))
(neg.f64 (/.f64 y (/.f64 a t)))
(/.f64 (neg.f64 y) (/.f64 a t))
(*.f64 (/.f64 y a) (neg.f64 t))
(*.f64 y (neg.f64 (/.f64 t a)))
(.f64 -1 (/.f64 (.f64 y t) a))
(neg.f64 (/.f64 y (/.f64 a t)))
(/.f64 (neg.f64 y) (/.f64 a t))
(*.f64 (/.f64 y a) (neg.f64 t))
(*.f64 y (neg.f64 (/.f64 t a)))
(.f64 -1 (/.f64 (.f64 y t) a))
(neg.f64 (/.f64 y (/.f64 a t)))
(/.f64 (neg.f64 y) (/.f64 a t))
(*.f64 (/.f64 y a) (neg.f64 t))
(*.f64 y (neg.f64 (/.f64 t a)))
(.f64 -1 (/.f64 (.f64 y t) a))
(neg.f64 (/.f64 y (/.f64 a t)))
(/.f64 (neg.f64 y) (/.f64 a t))
(*.f64 (/.f64 y a) (neg.f64 t))
(*.f64 y (neg.f64 (/.f64 t a)))
(.f64 -1 (/.f64 (.f64 y t) a))
(neg.f64 (/.f64 y (/.f64 a t)))
(/.f64 (neg.f64 y) (/.f64 a t))
(*.f64 (/.f64 y a) (neg.f64 t))
(*.f64 y (neg.f64 (/.f64 t a)))
(.f64 -1 (/.f64 (.f64 y t) a))
(neg.f64 (/.f64 y (/.f64 a t)))
(/.f64 (neg.f64 y) (/.f64 a t))
(*.f64 (/.f64 y a) (neg.f64 t))
(*.f64 y (neg.f64 (/.f64 t a)))
(.f64 -1 (/.f64 (.f64 y t) a))
(neg.f64 (/.f64 y (/.f64 a t)))
(/.f64 (neg.f64 y) (/.f64 a t))
(*.f64 (/.f64 y a) (neg.f64 t))
(*.f64 y (neg.f64 (/.f64 t a)))
(.f64 -1 (/.f64 (.f64 y t) a))
(neg.f64 (/.f64 y (/.f64 a t)))
(/.f64 (neg.f64 y) (/.f64 a t))
(*.f64 (/.f64 y a) (neg.f64 t))
(*.f64 y (neg.f64 (/.f64 t a)))
(.f64 -1 (/.f64 (.f64 y t) a))
(neg.f64 (/.f64 y (/.f64 a t)))
(/.f64 (neg.f64 y) (/.f64 a t))
(*.f64 (/.f64 y a) (neg.f64 t))
(*.f64 y (neg.f64 (/.f64 t a)))
(.f64 -1 (/.f64 (.f64 y t) a))
(neg.f64 (/.f64 y (/.f64 a t)))
(/.f64 (neg.f64 y) (/.f64 a t))
(*.f64 (/.f64 y a) (neg.f64 t))
(*.f64 y (neg.f64 (/.f64 t a)))
(.f64 -1 (/.f64 (.f64 y t) a))
(neg.f64 (/.f64 y (/.f64 a t)))
(/.f64 (neg.f64 y) (/.f64 a t))
(*.f64 (/.f64 y a) (neg.f64 t))
(*.f64 y (neg.f64 (/.f64 t a)))
(.f64 -1 (/.f64 (.f64 y t) a))
(neg.f64 (/.f64 y (/.f64 a t)))
(/.f64 (neg.f64 y) (/.f64 a t))
(*.f64 (/.f64 y a) (neg.f64 t))
(*.f64 y (neg.f64 (/.f64 t a)))
(.f64 -1 (/.f64 (.f64 y t) a))
(neg.f64 (/.f64 y (/.f64 a t)))
(/.f64 (neg.f64 y) (/.f64 a t))
(*.f64 (/.f64 y a) (neg.f64 t))
(*.f64 y (neg.f64 (/.f64 t a)))
(.f64 -1 (/.f64 (.f64 y t) a))
(neg.f64 (/.f64 y (/.f64 a t)))
(/.f64 (neg.f64 y) (/.f64 a t))
(*.f64 (/.f64 y a) (neg.f64 t))
(*.f64 y (neg.f64 (/.f64 t a)))
(.f64 -1 (/.f64 (.f64 y t) a))
(neg.f64 (/.f64 y (/.f64 a t)))
(/.f64 (neg.f64 y) (/.f64 a t))
(*.f64 (/.f64 y a) (neg.f64 t))
(*.f64 y (neg.f64 (/.f64 t a)))
(.f64 -1 (/.f64 (.f64 y t) a))
(neg.f64 (/.f64 y (/.f64 a t)))
(/.f64 (neg.f64 y) (/.f64 a t))
(*.f64 (/.f64 y a) (neg.f64 t))
(*.f64 y (neg.f64 (/.f64 t a)))
(.f64 -1 (/.f64 (.f64 y t) a))
(neg.f64 (/.f64 y (/.f64 a t)))
(/.f64 (neg.f64 y) (/.f64 a t))
(*.f64 (/.f64 y a) (neg.f64 t))
(*.f64 y (neg.f64 (/.f64 t a)))
(.f64 -1 (/.f64 (.f64 y t) a))
(neg.f64 (/.f64 y (/.f64 a t)))
(/.f64 (neg.f64 y) (/.f64 a t))
(*.f64 (/.f64 y a) (neg.f64 t))
(*.f64 y (neg.f64 (/.f64 t a)))
(.f64 -1 (/.f64 (.f64 y t) a))
(neg.f64 (/.f64 y (/.f64 a t)))
(/.f64 (neg.f64 y) (/.f64 a t))
(*.f64 (/.f64 y a) (neg.f64 t))
(*.f64 y (neg.f64 (/.f64 t a)))
(.f64 -1 (/.f64 (.f64 y t) a))
(neg.f64 (/.f64 y (/.f64 a t)))
(/.f64 (neg.f64 y) (/.f64 a t))
(*.f64 (/.f64 y a) (neg.f64 t))
(*.f64 y (neg.f64 (/.f64 t a)))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 (/.f64 t a) y)
(*.f64 y (/.f64 t a))
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 (/.f64 t a) y x)
(fma.f64 y (/.f64 t a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 (/.f64 t a) y x)
(fma.f64 y (/.f64 t a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 (/.f64 t a) y x)
(fma.f64 y (/.f64 t a) x)
x
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 (/.f64 t a) y x)
(fma.f64 y (/.f64 t a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 (/.f64 t a) y x)
(fma.f64 y (/.f64 t a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 (/.f64 t a) y x)
(fma.f64 y (/.f64 t a) x)
x
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 (/.f64 t a) y x)
(fma.f64 y (/.f64 t a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 (/.f64 t a) y x)
(fma.f64 y (/.f64 t a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 (/.f64 t a) y x)
(fma.f64 y (/.f64 t a) x)
x
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 (/.f64 t a) y x)
(fma.f64 y (/.f64 t a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 (/.f64 t a) y x)
(fma.f64 y (/.f64 t a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 (/.f64 t a) y x)
(fma.f64 y (/.f64 t a) x)
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 (/.f64 t a) y)
(*.f64 y (/.f64 t a))
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 (/.f64 t a) y x)
(fma.f64 y (/.f64 t a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 (/.f64 t a) y x)
(fma.f64 y (/.f64 t a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 (/.f64 t a) y x)
(fma.f64 y (/.f64 t a) x)
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 (/.f64 t a) y)
(*.f64 y (/.f64 t a))
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 (/.f64 t a) y x)
(fma.f64 y (/.f64 t a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 (/.f64 t a) y x)
(fma.f64 y (/.f64 t a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 (/.f64 t a) y x)
(fma.f64 y (/.f64 t a) x)
x
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 (/.f64 t a) y x)
(fma.f64 y (/.f64 t a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 (/.f64 t a) y x)
(fma.f64 y (/.f64 t a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 (/.f64 t a) y x)
(fma.f64 y (/.f64 t a) x)
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 (/.f64 t a) y)
(*.f64 y (/.f64 t a))
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 (/.f64 t a) y x)
(fma.f64 y (/.f64 t a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 (/.f64 t a) y x)
(fma.f64 y (/.f64 t a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 (/.f64 t a) y x)
(fma.f64 y (/.f64 t a) x)
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 (/.f64 t a) y)
(*.f64 y (/.f64 t a))
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 (/.f64 t a) y x)
(fma.f64 y (/.f64 t a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 (/.f64 t a) y x)
(fma.f64 y (/.f64 t a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 (/.f64 t a) y x)
(fma.f64 y (/.f64 t a) x)
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 (/.f64 t a) y)
(*.f64 y (/.f64 t a))
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 (/.f64 t a) y x)
(fma.f64 y (/.f64 t a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 (/.f64 t a) y x)
(fma.f64 y (/.f64 t a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 (/.f64 t a) y x)
(fma.f64 y (/.f64 t a) x)
x
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 (/.f64 t a) y x)
(fma.f64 y (/.f64 t a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 (/.f64 t a) y x)
(fma.f64 y (/.f64 t a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 (/.f64 t a) y x)
(fma.f64 y (/.f64 t a) x)
x
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 (/.f64 t a) y x)
(fma.f64 y (/.f64 t a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 (/.f64 t a) y x)
(fma.f64 y (/.f64 t a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 (/.f64 t a) y x)
(fma.f64 y (/.f64 t a) x)

eval230.0ms (1.7%)

Compiler: Compiled 11440 to 2882 computations (74.8% saved)

prune162.0ms (1.2%)

Pruning

16 alts after pruning (10 fresh and 6 done)

	Pruned	Kept	Total
New	585	7	592
Fresh	6	3	9
Picked	1	0	1
Done	0	6	6
Total	592	16	608

Error

Counts

608 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	13.8b	(+.f64 (*.f64 (/.f64 y a) t) x)
	48.9b	(/.f64 1 (/.f64 a (*.f64 y t)))
▶	53.1b	(/.f64 (*.f64 z y) (neg.f64 a))
▶	8.5b	(-.f64 x (/.f64 1 (/.f64 a (*.f64 y (-.f64 z t)))))
✓	50.6b	(*.f64 z (/.f64 (neg.f64 y) a))
✓	2.0b	(-.f64 x (/.f64 (-.f64 z t) (/.f64 a y)))
✓	47.0b	(*.f64 t (/.f64 y a))
✓	49.2b	(*.f64 y (/.f64 t a))
▶	17.5b	(-.f64 x (*.f64 (/.f64 y a) z))
	17.5b	(-.f64 x (.f64 z (.f64 y (/.f64 1 a))))
▶	48.7b	(/.f64 y (/.f64 a t))
✓	51.5b	(*.f64 (/.f64 z a) (neg.f64 y))
▶	37.9b	(/.f64 y (/.f64 a (-.f64 t z)))
	48.9b	(/.f64 (*.f64 y t) a)
	29.4b	x
✓	17.1b	(+.f64 (/.f64 (*.f64 y t) a) x)

Compiler

Compiled 292 to 204 computations (30.1% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (/.f64 1 (/.f64 a (*.f64 y (-.f64 z t)))))
	0.0b	(*.f64 y (-.f64 z t))
✓	0.8b	(/.f64 1 (/.f64 a (*.f64 y (-.f64 z t))))
✓	8.8b	(/.f64 a (*.f64 y (-.f64 z t)))

Compiler

Compiled 46 to 14 computations (69.6% saved)

series17.0ms (0.1%)

Counts

3 → 132

Calls

39 calls:

Time	Variable		Point	Expression
2.0ms	y	@	-inf	(/.f64 a (*.f64 y (-.f64 z t)))
1.0ms	z	@	0	(/.f64 a (*.f64 y (-.f64 z t)))
1.0ms	z	@	inf	(/.f64 a (*.f64 y (-.f64 z t)))
1.0ms	a	@	0	(/.f64 a (*.f64 y (-.f64 z t)))
1.0ms	z	@	-inf	(/.f64 a (*.f64 y (-.f64 z t)))

rewrite175.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

967×	`prod-diff_binary64`
378×	`fma-def_binary64`
246×	`expm1-udef_binary64`
246×	`log1p-udef_binary64`
209×	`egg-rr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	39
1	267	33
2	3942	33

Stop Event

1×	node limit

Counts

3 → 299

Calls

Call 1

Inputs
(/.f64 a (*.f64 y (-.f64 z t)))
(/.f64 1 (/.f64 a (*.f64 y (-.f64 z t))))
(-.f64 x (/.f64 1 (/.f64 a (*.f64 y (-.f64 z t)))))

Outputs

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

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a)) (*.f64 y (-.f64 z t)) x)))))

simplify117.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

588×	`times-frac_binary64`
512×	`div-sub_binary64`
378×	`associate-/l*_binary64`
320×	`distribute-rgt-out_binary64`
312×	`associate-/r*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	78	2009
1	246	1896
2	858	1784
3	4344	1628
4	7356	1628

Stop Event

1×	node limit

Counts

431 → 344

Calls

Call 1

Inputs
(.f64 -1 (/.f64 a (.f64 y t)))
(+.f64 (.f64 -1 (/.f64 a (.f64 y t))) (.f64 -1 (/.f64 (.f64 a z) (*.f64 y (pow.f64 t 2)))))
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(/.f64 a (*.f64 y z))
(+.f64 (/.f64 a (.f64 y z)) (/.f64 (.f64 a t) (*.f64 y (pow.f64 z 2))))
(+.f64 (/.f64 a (.f64 y z)) (+.f64 (/.f64 (.f64 a t) (.f64 y (pow.f64 z 2))) (/.f64 (.f64 a (pow.f64 t 2)) (*.f64 y (pow.f64 z 3)))))
(+.f64 (/.f64 (.f64 a (pow.f64 t 3)) (.f64 y (pow.f64 z 4))) (+.f64 (/.f64 a (.f64 y z)) (+.f64 (/.f64 (.f64 a t) (.f64 y (pow.f64 z 2))) (/.f64 (.f64 a (pow.f64 t 2)) (*.f64 y (pow.f64 z 3))))))
(/.f64 a (*.f64 y z))
(+.f64 (/.f64 a (.f64 y z)) (/.f64 (.f64 a t) (*.f64 y (pow.f64 z 2))))
(+.f64 (/.f64 a (.f64 y z)) (+.f64 (/.f64 (.f64 a t) (.f64 y (pow.f64 z 2))) (/.f64 (.f64 a (pow.f64 t 2)) (*.f64 y (pow.f64 z 3)))))
(+.f64 (/.f64 (.f64 a (pow.f64 t 3)) (.f64 y (pow.f64 z 4))) (+.f64 (/.f64 a (.f64 y z)) (+.f64 (/.f64 (.f64 a t) (.f64 y (pow.f64 z 2))) (/.f64 (.f64 a (pow.f64 t 2)) (*.f64 y (pow.f64 z 3))))))
(/.f64 a (*.f64 y z))
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(+.f64 (/.f64 (.f64 a (pow.f64 t 3)) (.f64 y (pow.f64 z 4))) (+.f64 (/.f64 a (.f64 y z)) (+.f64 (/.f64 (.f64 a t) (.f64 y (pow.f64 z 2))) (/.f64 (.f64 a (pow.f64 t 2)) (*.f64 y (pow.f64 z 3))))))
(.f64 -1 (/.f64 a (.f64 y t)))
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(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 z 2)) (.f64 y (pow.f64 t 3)))) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 z 3)) (.f64 y (pow.f64 t 4)))) (+.f64 (.f64 -1 (/.f64 a (.f64 y t))) (.f64 -1 (/.f64 (.f64 a z) (*.f64 y (pow.f64 t 2)))))))
(.f64 -1 (/.f64 a (.f64 y t)))
(+.f64 (.f64 -1 (/.f64 a (.f64 y t))) (.f64 -1 (/.f64 (.f64 a z) (*.f64 y (pow.f64 t 2)))))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 z 2)) (.f64 y (pow.f64 t 3)))) (+.f64 (.f64 -1 (/.f64 a (.f64 y t))) (.f64 -1 (/.f64 (.f64 a z) (.f64 y (pow.f64 t 2))))))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 z 2)) (.f64 y (pow.f64 t 3)))) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 z 3)) (.f64 y (pow.f64 t 4)))) (+.f64 (.f64 -1 (/.f64 a (.f64 y t))) (.f64 -1 (/.f64 (.f64 a z) (*.f64 y (pow.f64 t 2)))))))
(/.f64 (*.f64 (-.f64 z t) y) a)
(/.f64 (*.f64 (-.f64 z t) y) a)
(/.f64 (*.f64 (-.f64 z t) y) a)
(/.f64 (*.f64 (-.f64 z t) y) a)
(/.f64 (*.f64 (-.f64 z t) y) a)
(/.f64 (*.f64 (-.f64 z t) y) a)
(/.f64 (*.f64 (-.f64 z t) y) a)
(/.f64 (*.f64 (-.f64 z t) y) a)
(/.f64 (*.f64 (-.f64 z t) y) a)
(/.f64 (*.f64 (-.f64 z t) y) a)
(/.f64 (*.f64 (-.f64 z t) y) a)
(/.f64 (*.f64 (-.f64 z t) y) a)
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 (*.f64 y (-.f64 z t)) a)
(.f64 -1 (/.f64 (.f64 y t) a))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
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(/.f64 (*.f64 y z) a)
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(/.f64 (*.f64 y z) a)
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(/.f64 (*.f64 y z) a)
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(.f64 -1 (/.f64 (.f64 y t) a))
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(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(.f64 -1 (/.f64 (.f64 y t) a))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(.f64 -1 (/.f64 (.f64 y (-.f64 z t)) a))
(+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 z t)) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 z t)) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 z t)) a)) x)
x
(+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 z t)) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 z t)) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 z t)) a)) x)
x
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)) x)
(.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a))
(+.f64 x (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)))
(+.f64 x (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)))
(+.f64 x (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)))
x
(+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 z t)) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 z t)) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 z t)) a)) x)
x
(+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 z t)) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 z t)) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 z t)) a)) x)
x
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y)
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a))
(+.f64 x (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)))
(+.f64 x (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)))
(+.f64 x (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)))
(-.f64 x (.f64 -1 (/.f64 (.f64 y t) a)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x) (.f64 -1 (/.f64 (.f64 y t) a)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x) (.f64 -1 (/.f64 (.f64 y t) a)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x) (.f64 -1 (/.f64 (.f64 y t) a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(-.f64 (+.f64 x (.f64 -1 (/.f64 (.f64 y z) a))) (.f64 -1 (/.f64 (.f64 y t) a)))
(-.f64 (+.f64 x (.f64 -1 (/.f64 (.f64 y z) a))) (.f64 -1 (/.f64 (.f64 y t) a)))
(-.f64 (+.f64 x (.f64 -1 (/.f64 (.f64 y z) a))) (.f64 -1 (/.f64 (.f64 y t) a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(-.f64 (+.f64 x (.f64 -1 (/.f64 (.f64 y z) a))) (.f64 -1 (/.f64 (.f64 y t) a)))
(-.f64 (+.f64 x (.f64 -1 (/.f64 (.f64 y z) a))) (.f64 -1 (/.f64 (.f64 y t) a)))
(-.f64 (+.f64 x (.f64 -1 (/.f64 (.f64 y z) a))) (.f64 -1 (/.f64 (.f64 y t) a)))
(-.f64 x (/.f64 (*.f64 y z) a))
(-.f64 (+.f64 (/.f64 (.f64 y t) a) x) (/.f64 (.f64 y z) a))
(-.f64 (+.f64 (/.f64 (.f64 y t) a) x) (/.f64 (.f64 y z) a))
(-.f64 (+.f64 (/.f64 (.f64 y t) a) x) (/.f64 (.f64 y z) a))
(/.f64 (*.f64 y t) a)
(-.f64 (+.f64 (/.f64 (.f64 y t) a) x) (/.f64 (.f64 y z) a))
(-.f64 (+.f64 (/.f64 (.f64 y t) a) x) (/.f64 (.f64 y z) a))
(-.f64 (+.f64 (/.f64 (.f64 y t) a) x) (/.f64 (.f64 y z) a))
(/.f64 (*.f64 y t) a)
(-.f64 (+.f64 (/.f64 (.f64 y t) a) x) (/.f64 (.f64 y z) a))
(-.f64 (+.f64 (/.f64 (.f64 y t) a) x) (/.f64 (.f64 y z) a))
(-.f64 (+.f64 (/.f64 (.f64 y t) a) x) (/.f64 (.f64 y z) a))

Outputs
(.f64 -1 (/.f64 a (.f64 y t)))
(neg.f64 (/.f64 a (*.f64 y t)))
(/.f64 (neg.f64 a) (*.f64 y t))
(+.f64 (.f64 -1 (/.f64 a (.f64 y t))) (.f64 -1 (/.f64 (.f64 a z) (*.f64 y (pow.f64 t 2)))))
(.f64 -1 (+.f64 (/.f64 a (.f64 y t)) (.f64 (/.f64 a y) (/.f64 z (.f64 t t)))))
(-.f64 (/.f64 (neg.f64 a) (.f64 y t)) (.f64 (/.f64 a y) (/.f64 z (*.f64 t t))))
(.f64 (/.f64 a y) (-.f64 (/.f64 -1 t) (/.f64 z (.f64 t t))))
(.f64 (/.f64 a (.f64 y t)) (-.f64 -1 (/.f64 z t)))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 z 2)) (.f64 y (pow.f64 t 3)))) (+.f64 (.f64 -1 (/.f64 a (.f64 y t))) (.f64 -1 (/.f64 (.f64 a z) (.f64 y (pow.f64 t 2))))))
(fma.f64 -1 (.f64 (/.f64 a y) (/.f64 (.f64 z z) (pow.f64 t 3))) (.f64 -1 (+.f64 (/.f64 a (.f64 y t)) (.f64 (/.f64 a y) (/.f64 z (.f64 t t))))))
(-.f64 (-.f64 (/.f64 (neg.f64 a) (.f64 y t)) (.f64 (/.f64 a y) (/.f64 z (.f64 t t)))) (.f64 (/.f64 a y) (/.f64 z (/.f64 (pow.f64 t 3) z))))
(-.f64 (.f64 (/.f64 (neg.f64 a) y) (+.f64 (/.f64 z (.f64 t t)) (.f64 (/.f64 z (pow.f64 t 3)) z))) (/.f64 a (.f64 y t)))
(.f64 (/.f64 a y) (+.f64 (/.f64 -1 t) (.f64 (/.f64 z (*.f64 t t)) (+.f64 -1 (/.f64 (neg.f64 z) t)))))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 z 2)) (.f64 y (pow.f64 t 3)))) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 z 3)) (.f64 y (pow.f64 t 4)))) (+.f64 (.f64 -1 (/.f64 a (.f64 y t))) (.f64 -1 (/.f64 (.f64 a z) (*.f64 y (pow.f64 t 2)))))))
(fma.f64 -1 (.f64 (/.f64 a y) (/.f64 (.f64 z z) (pow.f64 t 3))) (fma.f64 -1 (.f64 (/.f64 a y) (/.f64 (pow.f64 z 3) (pow.f64 t 4))) (.f64 -1 (+.f64 (/.f64 a (.f64 y t)) (.f64 (/.f64 a y) (/.f64 z (*.f64 t t)))))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 a) (.f64 y t)) (.f64 (/.f64 a y) (/.f64 z (.f64 t t)))) (.f64 (/.f64 (pow.f64 z 3) y) (/.f64 a (pow.f64 t 4)))) (*.f64 (/.f64 a y) (/.f64 z (/.f64 (pow.f64 t 3) z))))
(-.f64 (.f64 (/.f64 a y) (-.f64 (/.f64 -1 t) (/.f64 z (.f64 t t)))) (.f64 (/.f64 a y) (+.f64 (.f64 (/.f64 z (pow.f64 t 3)) z) (/.f64 (pow.f64 z 3) (pow.f64 t 4)))))
(.f64 (/.f64 a y) (-.f64 (-.f64 (/.f64 -1 t) (/.f64 z (.f64 t t))) (.f64 (/.f64 z (pow.f64 t 3)) (+.f64 (/.f64 (.f64 z z) t) z))))
(/.f64 a (*.f64 y z))
(/.f64 (/.f64 a z) y)
(+.f64 (/.f64 a (.f64 y z)) (/.f64 (.f64 a t) (*.f64 y (pow.f64 z 2))))
(+.f64 (/.f64 a (.f64 y z)) (/.f64 (/.f64 (.f64 a t) y) (*.f64 z z)))
(fma.f64 (/.f64 a y) (/.f64 t (.f64 z z)) (/.f64 a (.f64 y z)))
(*.f64 (+.f64 1 (/.f64 t z)) (/.f64 (/.f64 a z) y))
(+.f64 (/.f64 a (.f64 y z)) (+.f64 (/.f64 (.f64 a t) (.f64 y (pow.f64 z 2))) (/.f64 (.f64 a (pow.f64 t 2)) (*.f64 y (pow.f64 z 3)))))
(+.f64 (/.f64 a (.f64 y z)) (+.f64 (/.f64 (/.f64 (.f64 a t) y) (.f64 z z)) (/.f64 (.f64 a (.f64 t t)) (.f64 y (pow.f64 z 3)))))
(+.f64 (/.f64 a (.f64 y z)) (.f64 (/.f64 a y) (+.f64 (/.f64 t (*.f64 z z)) (/.f64 t (/.f64 (pow.f64 z 3) t)))))
(fma.f64 (/.f64 a y) (.f64 (+.f64 (/.f64 t z) 1) (/.f64 t (.f64 z z))) (/.f64 a (*.f64 y z)))
(fma.f64 (/.f64 a y) (.f64 (+.f64 1 (/.f64 t z)) (/.f64 t (.f64 z z))) (/.f64 (/.f64 a z) y))
(+.f64 (/.f64 (.f64 a (pow.f64 t 3)) (.f64 y (pow.f64 z 4))) (+.f64 (/.f64 a (.f64 y z)) (+.f64 (/.f64 (.f64 a t) (.f64 y (pow.f64 z 2))) (/.f64 (.f64 a (pow.f64 t 2)) (*.f64 y (pow.f64 z 3))))))
(+.f64 (+.f64 (.f64 (/.f64 a y) (/.f64 (pow.f64 t 3) (pow.f64 z 4))) (/.f64 a (.f64 y z))) (+.f64 (/.f64 (/.f64 (.f64 a t) y) (.f64 z z)) (/.f64 (.f64 a (.f64 t t)) (*.f64 y (pow.f64 z 3)))))
(+.f64 (.f64 (/.f64 a y) (+.f64 (/.f64 t (.f64 z z)) (/.f64 t (/.f64 (pow.f64 z 3) t)))) (fma.f64 (/.f64 a y) (/.f64 (pow.f64 t 3) (pow.f64 z 4)) (/.f64 a (*.f64 y z))))
(+.f64 (/.f64 a (.f64 y z)) (.f64 (/.f64 a y) (+.f64 (/.f64 (pow.f64 t 3) (pow.f64 z 4)) (.f64 (+.f64 (/.f64 t z) 1) (/.f64 t (.f64 z z))))))
(+.f64 (/.f64 (/.f64 a z) y) (.f64 (/.f64 a y) (+.f64 (/.f64 (pow.f64 t 3) (pow.f64 z 4)) (.f64 (+.f64 1 (/.f64 t z)) (/.f64 t (*.f64 z z))))))
(/.f64 a (*.f64 y z))
(/.f64 (/.f64 a z) y)
(+.f64 (/.f64 a (.f64 y z)) (/.f64 (.f64 a t) (*.f64 y (pow.f64 z 2))))
(+.f64 (/.f64 a (.f64 y z)) (/.f64 (/.f64 (.f64 a t) y) (*.f64 z z)))
(fma.f64 (/.f64 a y) (/.f64 t (.f64 z z)) (/.f64 a (.f64 y z)))
(*.f64 (+.f64 1 (/.f64 t z)) (/.f64 (/.f64 a z) y))
(+.f64 (/.f64 a (.f64 y z)) (+.f64 (/.f64 (.f64 a t) (.f64 y (pow.f64 z 2))) (/.f64 (.f64 a (pow.f64 t 2)) (*.f64 y (pow.f64 z 3)))))
(+.f64 (/.f64 a (.f64 y z)) (+.f64 (/.f64 (/.f64 (.f64 a t) y) (.f64 z z)) (/.f64 (.f64 a (.f64 t t)) (.f64 y (pow.f64 z 3)))))
(+.f64 (/.f64 a (.f64 y z)) (.f64 (/.f64 a y) (+.f64 (/.f64 t (*.f64 z z)) (/.f64 t (/.f64 (pow.f64 z 3) t)))))
(fma.f64 (/.f64 a y) (.f64 (+.f64 (/.f64 t z) 1) (/.f64 t (.f64 z z))) (/.f64 a (*.f64 y z)))
(fma.f64 (/.f64 a y) (.f64 (+.f64 1 (/.f64 t z)) (/.f64 t (.f64 z z))) (/.f64 (/.f64 a z) y))
(+.f64 (/.f64 (.f64 a (pow.f64 t 3)) (.f64 y (pow.f64 z 4))) (+.f64 (/.f64 a (.f64 y z)) (+.f64 (/.f64 (.f64 a t) (.f64 y (pow.f64 z 2))) (/.f64 (.f64 a (pow.f64 t 2)) (*.f64 y (pow.f64 z 3))))))
(+.f64 (+.f64 (.f64 (/.f64 a y) (/.f64 (pow.f64 t 3) (pow.f64 z 4))) (/.f64 a (.f64 y z))) (+.f64 (/.f64 (/.f64 (.f64 a t) y) (.f64 z z)) (/.f64 (.f64 a (.f64 t t)) (*.f64 y (pow.f64 z 3)))))
(+.f64 (.f64 (/.f64 a y) (+.f64 (/.f64 t (.f64 z z)) (/.f64 t (/.f64 (pow.f64 z 3) t)))) (fma.f64 (/.f64 a y) (/.f64 (pow.f64 t 3) (pow.f64 z 4)) (/.f64 a (*.f64 y z))))
(+.f64 (/.f64 a (.f64 y z)) (.f64 (/.f64 a y) (+.f64 (/.f64 (pow.f64 t 3) (pow.f64 z 4)) (.f64 (+.f64 (/.f64 t z) 1) (/.f64 t (.f64 z z))))))
(+.f64 (/.f64 (/.f64 a z) y) (.f64 (/.f64 a y) (+.f64 (/.f64 (pow.f64 t 3) (pow.f64 z 4)) (.f64 (+.f64 1 (/.f64 t z)) (/.f64 t (*.f64 z z))))))
(/.f64 a (*.f64 y z))
(/.f64 (/.f64 a z) y)
(+.f64 (/.f64 a (.f64 y z)) (/.f64 (.f64 a t) (*.f64 y (pow.f64 z 2))))
(+.f64 (/.f64 a (.f64 y z)) (/.f64 (/.f64 (.f64 a t) y) (*.f64 z z)))
(fma.f64 (/.f64 a y) (/.f64 t (.f64 z z)) (/.f64 a (.f64 y z)))
(*.f64 (+.f64 1 (/.f64 t z)) (/.f64 (/.f64 a z) y))
(+.f64 (/.f64 a (.f64 y z)) (+.f64 (/.f64 (.f64 a t) (.f64 y (pow.f64 z 2))) (/.f64 (.f64 a (pow.f64 t 2)) (*.f64 y (pow.f64 z 3)))))
(+.f64 (/.f64 a (.f64 y z)) (+.f64 (/.f64 (/.f64 (.f64 a t) y) (.f64 z z)) (/.f64 (.f64 a (.f64 t t)) (.f64 y (pow.f64 z 3)))))
(+.f64 (/.f64 a (.f64 y z)) (.f64 (/.f64 a y) (+.f64 (/.f64 t (*.f64 z z)) (/.f64 t (/.f64 (pow.f64 z 3) t)))))
(fma.f64 (/.f64 a y) (.f64 (+.f64 (/.f64 t z) 1) (/.f64 t (.f64 z z))) (/.f64 a (*.f64 y z)))
(fma.f64 (/.f64 a y) (.f64 (+.f64 1 (/.f64 t z)) (/.f64 t (.f64 z z))) (/.f64 (/.f64 a z) y))
(+.f64 (/.f64 (.f64 a (pow.f64 t 3)) (.f64 y (pow.f64 z 4))) (+.f64 (/.f64 a (.f64 y z)) (+.f64 (/.f64 (.f64 a t) (.f64 y (pow.f64 z 2))) (/.f64 (.f64 a (pow.f64 t 2)) (*.f64 y (pow.f64 z 3))))))
(+.f64 (+.f64 (.f64 (/.f64 a y) (/.f64 (pow.f64 t 3) (pow.f64 z 4))) (/.f64 a (.f64 y z))) (+.f64 (/.f64 (/.f64 (.f64 a t) y) (.f64 z z)) (/.f64 (.f64 a (.f64 t t)) (*.f64 y (pow.f64 z 3)))))
(+.f64 (.f64 (/.f64 a y) (+.f64 (/.f64 t (.f64 z z)) (/.f64 t (/.f64 (pow.f64 z 3) t)))) (fma.f64 (/.f64 a y) (/.f64 (pow.f64 t 3) (pow.f64 z 4)) (/.f64 a (*.f64 y z))))
(+.f64 (/.f64 a (.f64 y z)) (.f64 (/.f64 a y) (+.f64 (/.f64 (pow.f64 t 3) (pow.f64 z 4)) (.f64 (+.f64 (/.f64 t z) 1) (/.f64 t (.f64 z z))))))
(+.f64 (/.f64 (/.f64 a z) y) (.f64 (/.f64 a y) (+.f64 (/.f64 (pow.f64 t 3) (pow.f64 z 4)) (.f64 (+.f64 1 (/.f64 t z)) (/.f64 t (*.f64 z z))))))
(.f64 -1 (/.f64 a (.f64 y t)))
(neg.f64 (/.f64 a (*.f64 y t)))
(/.f64 (neg.f64 a) (*.f64 y t))
(+.f64 (.f64 -1 (/.f64 a (.f64 y t))) (.f64 -1 (/.f64 (.f64 a z) (*.f64 y (pow.f64 t 2)))))
(.f64 -1 (+.f64 (/.f64 a (.f64 y t)) (.f64 (/.f64 a y) (/.f64 z (.f64 t t)))))
(-.f64 (/.f64 (neg.f64 a) (.f64 y t)) (.f64 (/.f64 a y) (/.f64 z (*.f64 t t))))
(.f64 (/.f64 a y) (-.f64 (/.f64 -1 t) (/.f64 z (.f64 t t))))
(.f64 (/.f64 a (.f64 y t)) (-.f64 -1 (/.f64 z t)))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 z 2)) (.f64 y (pow.f64 t 3)))) (+.f64 (.f64 -1 (/.f64 a (.f64 y t))) (.f64 -1 (/.f64 (.f64 a z) (.f64 y (pow.f64 t 2))))))
(fma.f64 -1 (.f64 (/.f64 a y) (/.f64 (.f64 z z) (pow.f64 t 3))) (.f64 -1 (+.f64 (/.f64 a (.f64 y t)) (.f64 (/.f64 a y) (/.f64 z (.f64 t t))))))
(-.f64 (-.f64 (/.f64 (neg.f64 a) (.f64 y t)) (.f64 (/.f64 a y) (/.f64 z (.f64 t t)))) (.f64 (/.f64 a y) (/.f64 z (/.f64 (pow.f64 t 3) z))))
(-.f64 (.f64 (/.f64 (neg.f64 a) y) (+.f64 (/.f64 z (.f64 t t)) (.f64 (/.f64 z (pow.f64 t 3)) z))) (/.f64 a (.f64 y t)))
(.f64 (/.f64 a y) (+.f64 (/.f64 -1 t) (.f64 (/.f64 z (*.f64 t t)) (+.f64 -1 (/.f64 (neg.f64 z) t)))))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 z 2)) (.f64 y (pow.f64 t 3)))) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 z 3)) (.f64 y (pow.f64 t 4)))) (+.f64 (.f64 -1 (/.f64 a (.f64 y t))) (.f64 -1 (/.f64 (.f64 a z) (*.f64 y (pow.f64 t 2)))))))
(fma.f64 -1 (.f64 (/.f64 a y) (/.f64 (.f64 z z) (pow.f64 t 3))) (fma.f64 -1 (.f64 (/.f64 a y) (/.f64 (pow.f64 z 3) (pow.f64 t 4))) (.f64 -1 (+.f64 (/.f64 a (.f64 y t)) (.f64 (/.f64 a y) (/.f64 z (*.f64 t t)))))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 a) (.f64 y t)) (.f64 (/.f64 a y) (/.f64 z (.f64 t t)))) (.f64 (/.f64 (pow.f64 z 3) y) (/.f64 a (pow.f64 t 4)))) (*.f64 (/.f64 a y) (/.f64 z (/.f64 (pow.f64 t 3) z))))
(-.f64 (.f64 (/.f64 a y) (-.f64 (/.f64 -1 t) (/.f64 z (.f64 t t)))) (.f64 (/.f64 a y) (+.f64 (.f64 (/.f64 z (pow.f64 t 3)) z) (/.f64 (pow.f64 z 3) (pow.f64 t 4)))))
(.f64 (/.f64 a y) (-.f64 (-.f64 (/.f64 -1 t) (/.f64 z (.f64 t t))) (.f64 (/.f64 z (pow.f64 t 3)) (+.f64 (/.f64 (.f64 z z) t) z))))
(.f64 -1 (/.f64 a (.f64 y t)))
(neg.f64 (/.f64 a (*.f64 y t)))
(/.f64 (neg.f64 a) (*.f64 y t))
(+.f64 (.f64 -1 (/.f64 a (.f64 y t))) (.f64 -1 (/.f64 (.f64 a z) (*.f64 y (pow.f64 t 2)))))
(.f64 -1 (+.f64 (/.f64 a (.f64 y t)) (.f64 (/.f64 a y) (/.f64 z (.f64 t t)))))
(-.f64 (/.f64 (neg.f64 a) (.f64 y t)) (.f64 (/.f64 a y) (/.f64 z (*.f64 t t))))
(.f64 (/.f64 a y) (-.f64 (/.f64 -1 t) (/.f64 z (.f64 t t))))
(.f64 (/.f64 a (.f64 y t)) (-.f64 -1 (/.f64 z t)))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 z 2)) (.f64 y (pow.f64 t 3)))) (+.f64 (.f64 -1 (/.f64 a (.f64 y t))) (.f64 -1 (/.f64 (.f64 a z) (.f64 y (pow.f64 t 2))))))
(fma.f64 -1 (.f64 (/.f64 a y) (/.f64 (.f64 z z) (pow.f64 t 3))) (.f64 -1 (+.f64 (/.f64 a (.f64 y t)) (.f64 (/.f64 a y) (/.f64 z (.f64 t t))))))
(-.f64 (-.f64 (/.f64 (neg.f64 a) (.f64 y t)) (.f64 (/.f64 a y) (/.f64 z (.f64 t t)))) (.f64 (/.f64 a y) (/.f64 z (/.f64 (pow.f64 t 3) z))))
(-.f64 (.f64 (/.f64 (neg.f64 a) y) (+.f64 (/.f64 z (.f64 t t)) (.f64 (/.f64 z (pow.f64 t 3)) z))) (/.f64 a (.f64 y t)))
(.f64 (/.f64 a y) (+.f64 (/.f64 -1 t) (.f64 (/.f64 z (*.f64 t t)) (+.f64 -1 (/.f64 (neg.f64 z) t)))))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 z 2)) (.f64 y (pow.f64 t 3)))) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 z 3)) (.f64 y (pow.f64 t 4)))) (+.f64 (.f64 -1 (/.f64 a (.f64 y t))) (.f64 -1 (/.f64 (.f64 a z) (*.f64 y (pow.f64 t 2)))))))
(fma.f64 -1 (.f64 (/.f64 a y) (/.f64 (.f64 z z) (pow.f64 t 3))) (fma.f64 -1 (.f64 (/.f64 a y) (/.f64 (pow.f64 z 3) (pow.f64 t 4))) (.f64 -1 (+.f64 (/.f64 a (.f64 y t)) (.f64 (/.f64 a y) (/.f64 z (*.f64 t t)))))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 a) (.f64 y t)) (.f64 (/.f64 a y) (/.f64 z (.f64 t t)))) (.f64 (/.f64 (pow.f64 z 3) y) (/.f64 a (pow.f64 t 4)))) (*.f64 (/.f64 a y) (/.f64 z (/.f64 (pow.f64 t 3) z))))
(-.f64 (.f64 (/.f64 a y) (-.f64 (/.f64 -1 t) (/.f64 z (.f64 t t)))) (.f64 (/.f64 a y) (+.f64 (.f64 (/.f64 z (pow.f64 t 3)) z) (/.f64 (pow.f64 z 3) (pow.f64 t 4)))))
(.f64 (/.f64 a y) (-.f64 (-.f64 (/.f64 -1 t) (/.f64 z (.f64 t t))) (.f64 (/.f64 z (pow.f64 t 3)) (+.f64 (/.f64 (.f64 z z) t) z))))
(/.f64 (*.f64 (-.f64 z t) y) a)
(/.f64 y (/.f64 a (-.f64 z t)))
(*.f64 y (/.f64 (-.f64 z t) a))
(*.f64 (-.f64 z t) (/.f64 y a))
(/.f64 (*.f64 (-.f64 z t) y) a)
(/.f64 y (/.f64 a (-.f64 z t)))
(*.f64 y (/.f64 (-.f64 z t) a))
(*.f64 (-.f64 z t) (/.f64 y a))
(/.f64 (*.f64 (-.f64 z t) y) a)
(/.f64 y (/.f64 a (-.f64 z t)))
(*.f64 y (/.f64 (-.f64 z t) a))
(*.f64 (-.f64 z t) (/.f64 y a))
(/.f64 (*.f64 (-.f64 z t) y) a)
(/.f64 y (/.f64 a (-.f64 z t)))
(*.f64 y (/.f64 (-.f64 z t) a))
(*.f64 (-.f64 z t) (/.f64 y a))
(/.f64 (*.f64 (-.f64 z t) y) a)
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(fma.f64 -1 (/.f64 y (/.f64 a (-.f64 z t))) x)
(-.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
(+.f64 (*.f64 (/.f64 y a) (-.f64 t z)) x)
(fma.f64 y (/.f64 (-.f64 t z) a) x)
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 y) (/.f64 a z))
(*.f64 y (/.f64 (neg.f64 z) a))
(-.f64 (+.f64 x (.f64 -1 (/.f64 (.f64 y z) a))) (.f64 -1 (/.f64 (.f64 y t) a)))
(fma.f64 -1 (/.f64 y (/.f64 a (-.f64 z t))) x)
(-.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
(+.f64 (*.f64 (/.f64 y a) (-.f64 t z)) x)
(fma.f64 y (/.f64 (-.f64 t z) a) x)
(-.f64 (+.f64 x (.f64 -1 (/.f64 (.f64 y z) a))) (.f64 -1 (/.f64 (.f64 y t) a)))
(fma.f64 -1 (/.f64 y (/.f64 a (-.f64 z t))) x)
(-.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
(+.f64 (*.f64 (/.f64 y a) (-.f64 t z)) x)
(fma.f64 y (/.f64 (-.f64 t z) a) x)
(-.f64 (+.f64 x (.f64 -1 (/.f64 (.f64 y z) a))) (.f64 -1 (/.f64 (.f64 y t) a)))
(fma.f64 -1 (/.f64 y (/.f64 a (-.f64 z t))) x)
(-.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
(+.f64 (*.f64 (/.f64 y a) (-.f64 t z)) x)
(fma.f64 y (/.f64 (-.f64 t z) a) x)
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 y) (/.f64 a z))
(*.f64 y (/.f64 (neg.f64 z) a))
(-.f64 (+.f64 x (.f64 -1 (/.f64 (.f64 y z) a))) (.f64 -1 (/.f64 (.f64 y t) a)))
(fma.f64 -1 (/.f64 y (/.f64 a (-.f64 z t))) x)
(-.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
(+.f64 (*.f64 (/.f64 y a) (-.f64 t z)) x)
(fma.f64 y (/.f64 (-.f64 t z) a) x)
(-.f64 (+.f64 x (.f64 -1 (/.f64 (.f64 y z) a))) (.f64 -1 (/.f64 (.f64 y t) a)))
(fma.f64 -1 (/.f64 y (/.f64 a (-.f64 z t))) x)
(-.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
(+.f64 (*.f64 (/.f64 y a) (-.f64 t z)) x)
(fma.f64 y (/.f64 (-.f64 t z) a) x)
(-.f64 (+.f64 x (.f64 -1 (/.f64 (.f64 y z) a))) (.f64 -1 (/.f64 (.f64 y t) a)))
(fma.f64 -1 (/.f64 y (/.f64 a (-.f64 z t))) x)
(-.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
(+.f64 (*.f64 (/.f64 y a) (-.f64 t z)) x)
(fma.f64 y (/.f64 (-.f64 t z) a) x)
(-.f64 x (/.f64 (*.f64 y z) a))
(-.f64 x (/.f64 y (/.f64 a z)))
(-.f64 x (*.f64 (/.f64 y a) z))
(-.f64 x (*.f64 (/.f64 z a) y))
(-.f64 (+.f64 (/.f64 (.f64 y t) a) x) (/.f64 (.f64 y z) a))
(fma.f64 -1 (/.f64 y (/.f64 a (-.f64 z t))) x)
(-.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
(+.f64 (*.f64 (/.f64 y a) (-.f64 t z)) x)
(fma.f64 y (/.f64 (-.f64 t z) a) x)
(-.f64 (+.f64 (/.f64 (.f64 y t) a) x) (/.f64 (.f64 y z) a))
(fma.f64 -1 (/.f64 y (/.f64 a (-.f64 z t))) x)
(-.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
(+.f64 (*.f64 (/.f64 y a) (-.f64 t z)) x)
(fma.f64 y (/.f64 (-.f64 t z) a) x)
(-.f64 (+.f64 (/.f64 (.f64 y t) a) x) (/.f64 (.f64 y z) a))
(fma.f64 -1 (/.f64 y (/.f64 a (-.f64 z t))) x)
(-.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
(+.f64 (*.f64 (/.f64 y a) (-.f64 t z)) x)
(fma.f64 y (/.f64 (-.f64 t z) a) x)
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 y (/.f64 t a))
(-.f64 (+.f64 (/.f64 (.f64 y t) a) x) (/.f64 (.f64 y z) a))
(fma.f64 -1 (/.f64 y (/.f64 a (-.f64 z t))) x)
(-.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
(+.f64 (*.f64 (/.f64 y a) (-.f64 t z)) x)
(fma.f64 y (/.f64 (-.f64 t z) a) x)
(-.f64 (+.f64 (/.f64 (.f64 y t) a) x) (/.f64 (.f64 y z) a))
(fma.f64 -1 (/.f64 y (/.f64 a (-.f64 z t))) x)
(-.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
(+.f64 (*.f64 (/.f64 y a) (-.f64 t z)) x)
(fma.f64 y (/.f64 (-.f64 t z) a) x)
(-.f64 (+.f64 (/.f64 (.f64 y t) a) x) (/.f64 (.f64 y z) a))
(fma.f64 -1 (/.f64 y (/.f64 a (-.f64 z t))) x)
(-.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
(+.f64 (*.f64 (/.f64 y a) (-.f64 t z)) x)
(fma.f64 y (/.f64 (-.f64 t z) a) x)
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 y (/.f64 t a))
(-.f64 (+.f64 (/.f64 (.f64 y t) a) x) (/.f64 (.f64 y z) a))
(fma.f64 -1 (/.f64 y (/.f64 a (-.f64 z t))) x)
(-.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
(+.f64 (*.f64 (/.f64 y a) (-.f64 t z)) x)
(fma.f64 y (/.f64 (-.f64 t z) a) x)
(-.f64 (+.f64 (/.f64 (.f64 y t) a) x) (/.f64 (.f64 y z) a))
(fma.f64 -1 (/.f64 y (/.f64 a (-.f64 z t))) x)
(-.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
(+.f64 (*.f64 (/.f64 y a) (-.f64 t z)) x)
(fma.f64 y (/.f64 (-.f64 t z) a) x)
(-.f64 (+.f64 (/.f64 (.f64 y t) a) x) (/.f64 (.f64 y z) a))
(fma.f64 -1 (/.f64 y (/.f64 a (-.f64 z t))) x)
(-.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
(+.f64 (*.f64 (/.f64 y a) (-.f64 t z)) x)
(fma.f64 y (/.f64 (-.f64 t z) a) x)

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	6.3b	(/.f64 y (/.f64 a t))

Compiler

Compiled 16 to 7 computations (56.3% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	a	@	inf	(/.f64 y (/.f64 a t))
0.0ms	y	@	0	(/.f64 y (/.f64 a t))
0.0ms	a	@	-inf	(/.f64 y (/.f64 a t))
0.0ms	y	@	-inf	(/.f64 y (/.f64 a t))
0.0ms	t	@	-inf	(/.f64 y (/.f64 a t))

rewrite58.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

780×	`pow1_binary64`
724×	`add-log-exp_binary64`
724×	`log1p-expm1-u_binary64`
724×	`expm1-log1p-u_binary64`
707×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	131	7
2	1915	7

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

Inputs
(/.f64 y (/.f64 a t))

Outputs

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

simplify29.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
2×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	252
1	9	252
2	13	252
3	16	252
4	17	252

Stop Event

1×

saturated

Counts

77 → 42

Calls

Call 1

Inputs
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)

Outputs
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	6.3b	(/.f64 (*.f64 z y) (neg.f64 a))

Compiler

Compiled 19 to 8 computations (57.9% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	z	@	0	(/.f64 (*.f64 z y) (neg.f64 a))
0.0ms	z	@	-inf	(/.f64 (*.f64 z y) (neg.f64 a))
0.0ms	y	@	-inf	(/.f64 (*.f64 z y) (neg.f64 a))
0.0ms	z	@	inf	(/.f64 (*.f64 z y) (neg.f64 a))
0.0ms	a	@	inf	(/.f64 (*.f64 z y) (neg.f64 a))

rewrite57.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

731×	`pow1_binary64`
677×	`add-log-exp_binary64`
676×	`log1p-expm1-u_binary64`
676×	`expm1-log1p-u_binary64`
662×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	148	7
2	2173	7

Stop Event

1×	node limit

Counts

1 → 46

Calls

Call 1

Inputs
(/.f64 (*.f64 z y) (neg.f64 a))

Outputs

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

simplify30.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

145×	`fma-def_binary64`
46×	`fma-neg_binary64`
24×	`sub-neg_binary64`
18×	`div-sub_binary64`
14×	`associate-/l*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	324
1	15	324
2	35	324
3	69	324
4	114	324
5	162	324
6	202	324
7	238	324
8	275	324
9	394	324
10	445	324

Stop Event

1×

saturated

Counts

82 → 48

Calls

Call 1

Inputs
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))

Outputs
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 (*.f64 y z)) a)
(*.f64 (neg.f64 (/.f64 y a)) z)
(*.f64 z (/.f64 (neg.f64 y) a))
(*.f64 y (neg.f64 (/.f64 z a)))

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (*.f64 (/.f64 y a) z))
✓	3.4b	(*.f64 (/.f64 y a) z)

Compiler

Compiled 24 to 8 computations (66.7% saved)

series6.0ms (0%)

Counts

2 → 84

Calls

21 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(*.f64 (/.f64 y a) z)
0.0ms	a	@	-inf	(-.f64 x (*.f64 (/.f64 y a) z))
0.0ms	y	@	inf	(-.f64 x (*.f64 (/.f64 y a) z))
0.0ms	y	@	-inf	(*.f64 (/.f64 y a) z)
0.0ms	y	@	-inf	(-.f64 x (*.f64 (/.f64 y a) z))

rewrite96.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

667×	`prod-diff_binary64`
502×	`log-prod_binary64`
321×	`pow-prod-down_binary64`
253×	`pow2_binary64`
215×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	179	17
2	2622	17

Stop Event

1×	node limit

Counts

2 → 198

Calls

Call 1

Inputs
(*.f64 (/.f64 y a) z)
(-.f64 x (*.f64 (/.f64 y a) z))

Outputs

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

simplify77.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

365×	`fma-def_binary64`
220×	`fma-neg_binary64`
81×	`cancel-sign-sub-inv_binary64`
54×	`associate-/l*_binary64`
44×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	708
1	19	672
2	41	672
3	80	672
4	141	672
5	214	672
6	300	672
7	378	672
8	482	672
9	747	672
10	1169	672
11	1326	672
12	1444	672
13	1449	672

Stop Event

1×

saturated

Counts

282 → 205

Calls

Call 1

Inputs
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(/.f64 (*.f64 y z) a)
(.f64 -1 (/.f64 (.f64 y z) a))
(+.f64 x (.f64 -1 (/.f64 (.f64 y z) a)))
(+.f64 x (.f64 -1 (/.f64 (.f64 y z) a)))
(+.f64 x (.f64 -1 (/.f64 (.f64 y z) a)))
x
(+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x)
x
(+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x)
x
(+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x)
(.f64 -1 (/.f64 (.f64 y z) a))
(+.f64 x (.f64 -1 (/.f64 (.f64 y z) a)))
(+.f64 x (.f64 -1 (/.f64 (.f64 y z) a)))
(+.f64 x (.f64 -1 (/.f64 (.f64 y z) a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(+.f64 x (.f64 -1 (/.f64 (.f64 y z) a)))
(+.f64 x (.f64 -1 (/.f64 (.f64 y z) a)))
(+.f64 x (.f64 -1 (/.f64 (.f64 y z) a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(+.f64 x (.f64 -1 (/.f64 (.f64 y z) a)))
(+.f64 x (.f64 -1 (/.f64 (.f64 y z) a)))
(+.f64 x (.f64 -1 (/.f64 (.f64 y z) a)))
x
(+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x)
x
(+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x)
x
(+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x)
(.f64 -1 (/.f64 (.f64 y z) a))
(+.f64 x (.f64 -1 (/.f64 (.f64 y z) a)))
(+.f64 x (.f64 -1 (/.f64 (.f64 y z) a)))
(+.f64 x (.f64 -1 (/.f64 (.f64 y z) a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(+.f64 x (.f64 -1 (/.f64 (.f64 y z) a)))
(+.f64 x (.f64 -1 (/.f64 (.f64 y z) a)))
(+.f64 x (.f64 -1 (/.f64 (.f64 y z) a)))

Outputs
(/.f64 (*.f64 y z) a)
(/.f64 y (/.f64 a z))
(*.f64 (/.f64 y a) z)
(*.f64 z (/.f64 y a))
(*.f64 y (/.f64 z a))
(/.f64 (*.f64 y z) a)
(/.f64 y (/.f64 a z))
(*.f64 (/.f64 y a) z)
(*.f64 z (/.f64 y a))
(*.f64 y (/.f64 z a))
(/.f64 (*.f64 y z) a)
(/.f64 y (/.f64 a z))
(*.f64 (/.f64 y a) z)
(*.f64 z (/.f64 y a))
(*.f64 y (/.f64 z a))
(/.f64 (*.f64 y z) a)
(/.f64 y (/.f64 a z))
(*.f64 (/.f64 y a) z)
(*.f64 z (/.f64 y a))
(*.f64 y (/.f64 z a))
(/.f64 (*.f64 y z) a)
(/.f64 y (/.f64 a z))
(*.f64 (/.f64 y a) z)
(*.f64 z (/.f64 y a))
(*.f64 y (/.f64 z a))
(/.f64 (*.f64 y z) a)
(/.f64 y (/.f64 a z))
(*.f64 (/.f64 y a) z)
(*.f64 z (/.f64 y a))
(*.f64 y (/.f64 z a))
(/.f64 (*.f64 y z) a)
(/.f64 y (/.f64 a z))
(*.f64 (/.f64 y a) z)
(*.f64 z (/.f64 y a))
(*.f64 y (/.f64 z a))
(/.f64 (*.f64 y z) a)
(/.f64 y (/.f64 a z))
(*.f64 (/.f64 y a) z)
(*.f64 z (/.f64 y a))
(*.f64 y (/.f64 z a))
(/.f64 (*.f64 y z) a)
(/.f64 y (/.f64 a z))
(*.f64 (/.f64 y a) z)
(*.f64 z (/.f64 y a))
(*.f64 y (/.f64 z a))
(/.f64 (*.f64 y z) a)
(/.f64 y (/.f64 a z))
(*.f64 (/.f64 y a) z)
(*.f64 z (/.f64 y a))
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(-.f64 x (*.f64 (/.f64 y a) z))
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(-.f64 x (/.f64 (*.f64 y z) a))

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 a (-.f64 t z))
✓	6.2b	(/.f64 y (/.f64 a (-.f64 t z)))

Compiler

Compiled 24 to 8 computations (66.7% saved)

series19.0ms (0.1%)

Counts

2 → 72

Calls

21 calls:

Time	Variable		Point	Expression
7.0ms	a	@	0	(/.f64 a (-.f64 t z))
2.0ms	z	@	0	(/.f64 a (-.f64 t z))
1.0ms	y	@	0	(/.f64 y (/.f64 a (-.f64 t z)))
1.0ms	a	@	0	(/.f64 y (/.f64 a (-.f64 t z)))
1.0ms	t	@	-inf	(/.f64 y (/.f64 a (-.f64 t z)))

rewrite69.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

530×	`log-prod_binary64`
404×	`prod-diff_binary64`
309×	`pow-prod-down_binary64`
260×	`pow2_binary64`
181×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	182	17
2	2795	17

Stop Event

1×	node limit

Counts

2 → 102

Calls

Call 1

Inputs
(/.f64 y (/.f64 a (-.f64 t z)))
(/.f64 a (-.f64 t z))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y (/.f64 (-.f64 t z) a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 t (/.f64 y a)) (*.f64 (neg.f64 z) (/.f64 y a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 y a) t) (*.f64 (/.f64 y a) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (/.f64 (-.f64 t z) a))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (/.f64 (-.f64 t z) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (/.f64 (-.f64 t z) a)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (/.f64 (-.f64 t z) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 (-.f64 t z) a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 (-.f64 t z) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 t z) (/.f64 y a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (/.f64 (-.f64 t z) a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 y (/.f64 (-.f64 t z) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y (/.f64 (-.f64 t z) a))) (pow.f64 (cbrt.f64 (*.f64 y (/.f64 (-.f64 t z) a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 (-.f64 t z) a))) 2) (cbrt.f64 (*.f64 y (/.f64 (-.f64 t z) a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 (-.f64 t z) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y (/.f64 (-.f64 t z) a))) (sqrt.f64 (*.f64 y (/.f64 (-.f64 t z) a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 (-.f64 t z) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (/.f64 (neg.f64 a) (-.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 t z) a) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y a) (-.f64 t z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (/.f64 y (/.f64 1 (-.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) a) (/.f64 (cbrt.f64 y) (/.f64 1 (-.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) a) (/.f64 (sqrt.f64 y) (/.f64 1 (-.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (/.f64 a (-.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (/.f64 a (-.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 a (-.f64 t z))) -2) (/.f64 y (cbrt.f64 (/.f64 a (-.f64 t z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (pow.f64 (/.f64 (-.f64 t z) a) -2))) (cbrt.f64 (*.f64 y (/.f64 (-.f64 t z) a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (pow.f64 (/.f64 (-.f64 t z) a) -2))) (/.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 a (-.f64 t z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 a (-.f64 t z)) -1/2) (/.f64 y (sqrt.f64 (/.f64 a (-.f64 t z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (/.f64 a (-.f64 t z)))) (/.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 a (-.f64 t z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 1) (/.f64 (-.f64 t z) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (neg.f64 a)) (neg.f64 (-.f64 t z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y a) 1) (-.f64 t z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y a) (pow.f64 (cbrt.f64 (-.f64 t z)) 2)) (cbrt.f64 (-.f64 t z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y a) (sqrt.f64 (-.f64 t z))) (sqrt.f64 (-.f64 t z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (/.f64 (-.f64 t z) a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (/.f64 (-.f64 t z) a)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (/.f64 (-.f64 t z) a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (/.f64 (-.f64 t z) a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (/.f64 (-.f64 t z) a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (*.f64 y (-.f64 t z))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 y 3) (pow.f64 (/.f64 a (-.f64 t z)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 a (*.f64 y (-.f64 t z))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (/.f64 (neg.f64 a) (-.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (/.f64 (-.f64 t z) a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (/.f64 (-.f64 t z) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (/.f64 (-.f64 t z) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (/.f64 (-.f64 t z) a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (/.f64 a (-.f64 t z)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (/.f64 (-.f64 t z) a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (/.f64 (-.f64 t z) a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (/.f64 (-.f64 t z) a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 (-.f64 t z) a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 y (/.f64 (-.f64 t z) a)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (/.f64 (-.f64 t z) a)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (/.f64 (-.f64 t z) a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 a (*.f64 y (-.f64 t z)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 t (/.f64 y a) (*.f64 (neg.f64 z) (/.f64 y a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 y a) t (*.f64 (/.f64 y a) (neg.f64 z)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 a (-.f64 t z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 a (-.f64 t z)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 a (-.f64 t z))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 a (-.f64 t z))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 a (-.f64 t z))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 a (-.f64 t z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a (/.f64 1 (-.f64 t z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a (-.f64 t z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 a (-.f64 t z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) (/.f64 1 (-.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 a (-.f64 t z))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 t z) a) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 t z) a) -2)) (cbrt.f64 (/.f64 a (-.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (/.f64 1 (-.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 a (-.f64 t z))) (sqrt.f64 (/.f64 a (-.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 a) (/.f64 1 (neg.f64 (-.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 t z)) a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) 1) (/.f64 (cbrt.f64 a) (-.f64 t z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 a) 1) (/.f64 (sqrt.f64 a) (-.f64 t z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 t z)) -2) (/.f64 a (cbrt.f64 (-.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (pow.f64 (cbrt.f64 (-.f64 t z)) 2)) (cbrt.f64 (/.f64 a (-.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 a) (pow.f64 (cbrt.f64 (-.f64 t z)) 2)) (/.f64 (sqrt.f64 a) (cbrt.f64 (-.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 t z) -1/2) (/.f64 a (sqrt.f64 (-.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (sqrt.f64 (-.f64 t z))) (/.f64 (cbrt.f64 a) (sqrt.f64 (-.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a (-.f64 (pow.f64 t 3) (pow.f64 z 3))) (fma.f64 z (+.f64 t z) (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a (-.f64 (*.f64 t t) (*.f64 z z))) (+.f64 t z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (-.f64 t z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 t z) a) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 a (-.f64 t z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 a (-.f64 t z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 a (-.f64 t z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 t z) a) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 a 3) (pow.f64 (-.f64 t z) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (-.f64 t z) a) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 a (neg.f64 (-.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 t z) a) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 a (-.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 a (-.f64 t z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 a (-.f64 t z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 a 3) (pow.f64 (-.f64 t z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 a (-.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 a (-.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 a (-.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 a (-.f64 t z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 a (-.f64 t z)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 a (-.f64 t z)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 a (-.f64 t z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 t z) a)) -1))))))

simplify76.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

699×	`distribute-rgt-neg-in_binary64`
571×	`associate-/r/_binary64`
542×	`associate-/l/_binary64`
422×	`unswap-sqr_binary64`
352×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	51	1092
1	147	1074
2	482	978
3	2352	939
4	5854	939

Stop Event

1×	node limit

Counts

174 → 123

Calls

Call 1

Inputs
(/.f64 (*.f64 y (-.f64 t z)) a)
(/.f64 (*.f64 y (-.f64 t z)) a)
(/.f64 (*.f64 y (-.f64 t z)) a)
(/.f64 (*.f64 y (-.f64 t z)) a)
(/.f64 (*.f64 y (-.f64 t z)) a)
(/.f64 (*.f64 y (-.f64 t z)) a)
(/.f64 (*.f64 y (-.f64 t z)) a)
(/.f64 (*.f64 y (-.f64 t z)) a)
(/.f64 (*.f64 y (-.f64 t z)) a)
(/.f64 (*.f64 y (-.f64 t z)) a)
(/.f64 (*.f64 y (-.f64 t z)) a)
(/.f64 (*.f64 y (-.f64 t z)) a)
(/.f64 (*.f64 y (-.f64 t z)) a)
(/.f64 (*.f64 y (-.f64 t z)) a)
(/.f64 (*.f64 y (-.f64 t z)) a)
(/.f64 (*.f64 y (-.f64 t z)) a)
(/.f64 (*.f64 y (-.f64 t z)) a)
(/.f64 (*.f64 y (-.f64 t z)) a)
(/.f64 (*.f64 y (-.f64 t z)) a)
(/.f64 (*.f64 y (-.f64 t z)) a)
(/.f64 (*.f64 y (-.f64 t z)) a)
(/.f64 (*.f64 y (-.f64 t z)) a)
(/.f64 (*.f64 y (-.f64 t z)) a)
(/.f64 (*.f64 y (-.f64 t z)) a)
(.f64 -1 (/.f64 (.f64 y z) a))
(+.f64 (/.f64 (.f64 y t) a) (.f64 -1 (/.f64 (*.f64 y z) a)))
(+.f64 (/.f64 (.f64 y t) a) (.f64 -1 (/.f64 (*.f64 y z) a)))
(+.f64 (/.f64 (.f64 y t) a) (.f64 -1 (/.f64 (*.f64 y z) a)))
(/.f64 (*.f64 y t) a)
(+.f64 (/.f64 (.f64 y t) a) (.f64 -1 (/.f64 (*.f64 y z) a)))
(+.f64 (/.f64 (.f64 y t) a) (.f64 -1 (/.f64 (*.f64 y z) a)))
(+.f64 (/.f64 (.f64 y t) a) (.f64 -1 (/.f64 (*.f64 y z) a)))
(/.f64 (*.f64 y t) a)
(+.f64 (/.f64 (.f64 y t) a) (.f64 -1 (/.f64 (*.f64 y z) a)))
(+.f64 (/.f64 (.f64 y t) a) (.f64 -1 (/.f64 (*.f64 y z) a)))
(+.f64 (/.f64 (.f64 y t) a) (.f64 -1 (/.f64 (*.f64 y z) a)))
(/.f64 (*.f64 y t) a)
(+.f64 (/.f64 (.f64 y t) a) (.f64 -1 (/.f64 (*.f64 y z) a)))
(+.f64 (/.f64 (.f64 y t) a) (.f64 -1 (/.f64 (*.f64 y z) a)))
(+.f64 (/.f64 (.f64 y t) a) (.f64 -1 (/.f64 (*.f64 y z) a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(+.f64 (/.f64 (.f64 y t) a) (.f64 -1 (/.f64 (*.f64 y z) a)))
(+.f64 (/.f64 (.f64 y t) a) (.f64 -1 (/.f64 (*.f64 y z) a)))
(+.f64 (/.f64 (.f64 y t) a) (.f64 -1 (/.f64 (*.f64 y z) a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(+.f64 (/.f64 (.f64 y t) a) (.f64 -1 (/.f64 (*.f64 y z) a)))
(+.f64 (/.f64 (.f64 y t) a) (.f64 -1 (/.f64 (*.f64 y z) a)))
(+.f64 (/.f64 (.f64 y t) a) (.f64 -1 (/.f64 (*.f64 y z) a)))
(*.f64 -1 (/.f64 a z))
(+.f64 (.f64 -1 (/.f64 a z)) (.f64 -1 (/.f64 (*.f64 a t) (pow.f64 z 2))))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 t 2)) (pow.f64 z 3))) (+.f64 (.f64 -1 (/.f64 a z)) (.f64 -1 (/.f64 (*.f64 a t) (pow.f64 z 2)))))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 t 2)) (pow.f64 z 3))) (+.f64 (.f64 -1 (/.f64 a z)) (+.f64 (.f64 -1 (/.f64 (.f64 a t) (pow.f64 z 2))) (.f64 -1 (/.f64 (*.f64 a (pow.f64 t 3)) (pow.f64 z 4))))))
(/.f64 a t)
(+.f64 (/.f64 a t) (/.f64 (*.f64 a z) (pow.f64 t 2)))
(+.f64 (/.f64 a t) (+.f64 (/.f64 (.f64 a z) (pow.f64 t 2)) (/.f64 (.f64 a (pow.f64 z 2)) (pow.f64 t 3))))
(+.f64 (/.f64 (.f64 a (pow.f64 z 3)) (pow.f64 t 4)) (+.f64 (/.f64 a t) (+.f64 (/.f64 (.f64 a z) (pow.f64 t 2)) (/.f64 (*.f64 a (pow.f64 z 2)) (pow.f64 t 3)))))
(/.f64 a t)
(+.f64 (/.f64 a t) (/.f64 (*.f64 a z) (pow.f64 t 2)))
(+.f64 (/.f64 a t) (+.f64 (/.f64 (.f64 a z) (pow.f64 t 2)) (/.f64 (.f64 a (pow.f64 z 2)) (pow.f64 t 3))))
(+.f64 (/.f64 (.f64 a (pow.f64 z 3)) (pow.f64 t 4)) (+.f64 (/.f64 a t) (+.f64 (/.f64 (.f64 a z) (pow.f64 t 2)) (/.f64 (*.f64 a (pow.f64 z 2)) (pow.f64 t 3)))))
(/.f64 a t)
(+.f64 (/.f64 a t) (/.f64 (*.f64 a z) (pow.f64 t 2)))
(+.f64 (/.f64 a t) (+.f64 (/.f64 (.f64 a z) (pow.f64 t 2)) (/.f64 (.f64 a (pow.f64 z 2)) (pow.f64 t 3))))
(+.f64 (/.f64 (.f64 a (pow.f64 z 3)) (pow.f64 t 4)) (+.f64 (/.f64 a t) (+.f64 (/.f64 (.f64 a z) (pow.f64 t 2)) (/.f64 (*.f64 a (pow.f64 z 2)) (pow.f64 t 3)))))
(*.f64 -1 (/.f64 a z))
(+.f64 (.f64 -1 (/.f64 a z)) (.f64 -1 (/.f64 (*.f64 a t) (pow.f64 z 2))))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 t 2)) (pow.f64 z 3))) (+.f64 (.f64 -1 (/.f64 a z)) (.f64 -1 (/.f64 (*.f64 a t) (pow.f64 z 2)))))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 t 2)) (pow.f64 z 3))) (+.f64 (.f64 -1 (/.f64 a z)) (+.f64 (.f64 -1 (/.f64 (.f64 a t) (pow.f64 z 2))) (.f64 -1 (/.f64 (*.f64 a (pow.f64 t 3)) (pow.f64 z 4))))))
(*.f64 -1 (/.f64 a z))
(+.f64 (.f64 -1 (/.f64 a z)) (.f64 -1 (/.f64 (*.f64 a t) (pow.f64 z 2))))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 t 2)) (pow.f64 z 3))) (+.f64 (.f64 -1 (/.f64 a z)) (.f64 -1 (/.f64 (*.f64 a t) (pow.f64 z 2)))))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 t 2)) (pow.f64 z 3))) (+.f64 (.f64 -1 (/.f64 a z)) (+.f64 (.f64 -1 (/.f64 (.f64 a t) (pow.f64 z 2))) (.f64 -1 (/.f64 (*.f64 a (pow.f64 t 3)) (pow.f64 z 4))))))

Outputs
(/.f64 (*.f64 y (-.f64 t z)) a)
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(*.f64 (/.f64 y a) (-.f64 t z))
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(*.f64 (/.f64 a z) (-.f64 -1 (/.f64 t z)))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 t 2)) (pow.f64 z 3))) (+.f64 (.f64 -1 (/.f64 a z)) (.f64 -1 (/.f64 (*.f64 a t) (pow.f64 z 2)))))
(fma.f64 -1 (/.f64 a (/.f64 (pow.f64 z 3) (.f64 t t))) (.f64 -1 (+.f64 (/.f64 a z) (/.f64 a (/.f64 (*.f64 z z) t)))))
(-.f64 (-.f64 (/.f64 (neg.f64 a) z) (.f64 (/.f64 a (.f64 z z)) t)) (.f64 (/.f64 a (pow.f64 z 3)) (.f64 t t)))
(-.f64 (.f64 (/.f64 a z) (-.f64 -1 (/.f64 t z))) (.f64 (*.f64 t t) (/.f64 a (pow.f64 z 3))))
(.f64 (/.f64 -1 z) (+.f64 (.f64 (+.f64 1 (/.f64 t z)) (/.f64 t (/.f64 z a))) a))
(.f64 (/.f64 -1 z) (+.f64 (.f64 (+.f64 1 (/.f64 t z)) (/.f64 (*.f64 t a) z)) a))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 t 2)) (pow.f64 z 3))) (+.f64 (.f64 -1 (/.f64 a z)) (+.f64 (.f64 -1 (/.f64 (.f64 a t) (pow.f64 z 2))) (.f64 -1 (/.f64 (*.f64 a (pow.f64 t 3)) (pow.f64 z 4))))))
(fma.f64 -1 (/.f64 a (/.f64 (pow.f64 z 3) (.f64 t t))) (fma.f64 -1 (/.f64 a z) (fma.f64 -1 (/.f64 a (/.f64 (.f64 z z) t)) (neg.f64 (/.f64 (*.f64 a (pow.f64 t 3)) (pow.f64 z 4))))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 a) z) (.f64 (/.f64 a (.f64 z z)) t)) (.f64 (/.f64 a (pow.f64 z 4)) (pow.f64 t 3))) (.f64 (/.f64 a (pow.f64 z 3)) (*.f64 t t)))
(-.f64 (.f64 (/.f64 a z) (-.f64 -1 (/.f64 t z))) (+.f64 (.f64 (pow.f64 t 3) (/.f64 a (pow.f64 z 4))) (.f64 (.f64 t t) (/.f64 a (pow.f64 z 3)))))
(-.f64 (.f64 (/.f64 a z) (-.f64 -1 (/.f64 t z))) (.f64 (.f64 t (.f64 t (/.f64 a (pow.f64 z 3)))) (-.f64 (/.f64 t z) -1)))
(+.f64 (.f64 (/.f64 a z) (-.f64 -1 (/.f64 t z))) (.f64 (.f64 t (.f64 t (/.f64 a (pow.f64 z 3)))) (-.f64 -1 (/.f64 t z))))
(*.f64 -1 (/.f64 a z))
(neg.f64 (/.f64 a z))
(/.f64 (neg.f64 a) z)
(+.f64 (.f64 -1 (/.f64 a z)) (.f64 -1 (/.f64 (*.f64 a t) (pow.f64 z 2))))
(.f64 -1 (+.f64 (/.f64 a z) (/.f64 a (/.f64 (.f64 z z) t))))
(-.f64 (/.f64 (neg.f64 a) z) (.f64 (/.f64 a (.f64 z z)) t))
(*.f64 (/.f64 a z) (-.f64 -1 (/.f64 t z)))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 t 2)) (pow.f64 z 3))) (+.f64 (.f64 -1 (/.f64 a z)) (.f64 -1 (/.f64 (*.f64 a t) (pow.f64 z 2)))))
(fma.f64 -1 (/.f64 a (/.f64 (pow.f64 z 3) (.f64 t t))) (.f64 -1 (+.f64 (/.f64 a z) (/.f64 a (/.f64 (*.f64 z z) t)))))
(-.f64 (-.f64 (/.f64 (neg.f64 a) z) (.f64 (/.f64 a (.f64 z z)) t)) (.f64 (/.f64 a (pow.f64 z 3)) (.f64 t t)))
(-.f64 (.f64 (/.f64 a z) (-.f64 -1 (/.f64 t z))) (.f64 (*.f64 t t) (/.f64 a (pow.f64 z 3))))
(.f64 (/.f64 -1 z) (+.f64 (.f64 (+.f64 1 (/.f64 t z)) (/.f64 t (/.f64 z a))) a))
(.f64 (/.f64 -1 z) (+.f64 (.f64 (+.f64 1 (/.f64 t z)) (/.f64 (*.f64 t a) z)) a))
(+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 t 2)) (pow.f64 z 3))) (+.f64 (.f64 -1 (/.f64 a z)) (+.f64 (.f64 -1 (/.f64 (.f64 a t) (pow.f64 z 2))) (.f64 -1 (/.f64 (*.f64 a (pow.f64 t 3)) (pow.f64 z 4))))))
(fma.f64 -1 (/.f64 a (/.f64 (pow.f64 z 3) (.f64 t t))) (fma.f64 -1 (/.f64 a z) (fma.f64 -1 (/.f64 a (/.f64 (.f64 z z) t)) (neg.f64 (/.f64 (*.f64 a (pow.f64 t 3)) (pow.f64 z 4))))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 a) z) (.f64 (/.f64 a (.f64 z z)) t)) (.f64 (/.f64 a (pow.f64 z 4)) (pow.f64 t 3))) (.f64 (/.f64 a (pow.f64 z 3)) (*.f64 t t)))
(-.f64 (.f64 (/.f64 a z) (-.f64 -1 (/.f64 t z))) (+.f64 (.f64 (pow.f64 t 3) (/.f64 a (pow.f64 z 4))) (.f64 (.f64 t t) (/.f64 a (pow.f64 z 3)))))
(-.f64 (.f64 (/.f64 a z) (-.f64 -1 (/.f64 t z))) (.f64 (.f64 t (.f64 t (/.f64 a (pow.f64 z 3)))) (-.f64 (/.f64 t z) -1)))
(+.f64 (.f64 (/.f64 a z) (-.f64 -1 (/.f64 t z))) (.f64 (.f64 t (.f64 t (/.f64 a (pow.f64 z 3)))) (-.f64 -1 (/.f64 t z))))

eval350.0ms (2.7%)

Compiler: Compiled 17878 to 5009 computations (72% saved)

prune360.0ms (2.7%)

Pruning

15 alts after pruning (7 fresh and 8 done)

	Pruned	Kept	Total
New	790	5	795
Fresh	3	2	5
Picked	0	1	1
Done	3	7	10
Total	796	15	811

Error

Counts

811 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	13.8b	(+.f64 (*.f64 (/.f64 y a) t) x)
	48.9b	(/.f64 1 (/.f64 a (*.f64 y t)))
	21.4b	(-.f64 x (/.f64 1 (/.f64 a (*.f64 y z))))
✓	51.5b	(*.f64 (/.f64 z a) (neg.f64 y))
	29.4b	x
✓	37.9b	(/.f64 y (/.f64 a (-.f64 t z)))
	48.9b	(/.f64 (*.f64 y t) a)
✓	47.0b	(*.f64 t (/.f64 y a))
✓	49.2b	(*.f64 y (/.f64 t a))
✓	48.7b	(/.f64 y (/.f64 a t))
	50.6b	(neg.f64 (/.f64 z (/.f64 a y)))
✓	50.6b	(*.f64 z (/.f64 (neg.f64 y) a))
	19.4b	(-.f64 x (/.f64 1 (/.f64 (/.f64 a z) y)))
✓	17.1b	(+.f64 (/.f64 (*.f64 y t) a) x)
✓	17.5b	(-.f64 x (*.f64 (/.f64 y a) z))

Compiler

Compiled 167 to 118 computations (29.3% saved)

regimes1.1s (8.4%)

Counts

43 → 3

Calls

Call 1

Inputs
x
x
x
x
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(/.f64 (*.f64 y t) a)
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 t (/.f64 a y))
(/.f64 (*.f64 y t) a)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(neg.f64 (/.f64 z (/.f64 a y)))
(/.f64 (*.f64 z y) (neg.f64 a))
(/.f64 (*.f64 z y) (neg.f64 a))
(*.f64 (/.f64 z a) (neg.f64 y))
(*.f64 z (/.f64 (neg.f64 y) a))
(+.f64 (*.f64 (/.f64 y a) t) x)
(/.f64 1 (/.f64 a (*.f64 y t)))
(/.f64 y (/.f64 a (-.f64 t z)))
(/.f64 1 (/.f64 a (*.f64 t y)))
(-.f64 x (*.f64 (/.f64 y a) z))
(*.f64 (/.f64 (-.f64 t z) a) y)
(+.f64 (/.f64 (*.f64 y t) a) x)
(-.f64 x (*.f64 y (/.f64 z a)))
(-.f64 x (/.f64 (*.f64 y z) a))
(-.f64 x (*.f64 t (neg.f64 (/.f64 y a))))
(-.f64 x (/.f64 (neg.f64 t) (/.f64 a y)))
(-.f64 x (/.f64 1 (/.f64 a (*.f64 y z))))
(-.f64 x (/.f64 1 (/.f64 (/.f64 a z) y)))
(-.f64 x (/.f64 (-.f64 z t) (/.f64 a y)))
(-.f64 x (.f64 z (.f64 y (/.f64 1 a))))
(-.f64 x (*.f64 (/.f64 y a) (-.f64 z t)))
(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
(-.f64 x (/.f64 1 (/.f64 a (*.f64 y (-.f64 z t)))))
(-.f64 x (.f64 (-.f64 z t) (.f64 y (/.f64 1 a))))
(-.f64 x (*.f64 y (/.f64 1 (/.f64 a (-.f64 z t)))))
(-.f64 x (.f64 (/.f64 1 a) (.f64 y (-.f64 z t))))
(-.f64 x (/.f64 (/.f64 (.f64 (-.f64 (.f64 z z) (*.f64 t t)) y) (+.f64 z t)) a))
(fma.f64 y (/.f64 (-.f64 t z) a) x)
(-.f64 x (pow.f64 (/.f64 (/.f64 a y) (-.f64 z t)) -1))
(-.f64 x (pow.f64 (sqrt.f64 (*.f64 (/.f64 y a) (-.f64 z t))) 2))

Outputs
(-.f64 x (*.f64 (/.f64 y a) (-.f64 z t)))
(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
(-.f64 x (*.f64 (/.f64 y a) (-.f64 z t)))

Calls

11 calls:

192.0ms	(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
180.0ms	y
147.0ms	z
136.0ms	(*.f64 y (-.f64 z t))
98.0ms	(*.f64 y (-.f64 z t))

Results

Error	Segments	Branch
1.9b	1	`x`
0.4b	3	`y`
1.9b	1	`z`
1.9b	1	`t`
1.9b	1	`a`
0.2b	3	`(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))`
0.2b	3	`(/.f64 (*.f64 y (-.f64 z t)) a)`
0.2b	3	`(/.f64 (*.f64 y (-.f64 z t)) a)`
0.3b	3	`(*.f64 y (-.f64 z t))`
0.3b	3	`(*.f64 y (-.f64 z t))`
1.9b	1	`(-.f64 z t)`

Compiler

Compiled 405 to 180 computations (55.6% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.4441587959669005e+73	3.12653171645669e+84
0.0ms	-1.429861185521607e+294	-2.983043327123882e+281

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes301.0ms (2.3%)

Counts

34 → 1

Calls

Call 1

Inputs
x
x
x
x
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(/.f64 (*.f64 y t) a)
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 t (/.f64 a y))
(/.f64 (*.f64 y t) a)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(neg.f64 (/.f64 z (/.f64 a y)))
(/.f64 (*.f64 z y) (neg.f64 a))
(/.f64 (*.f64 z y) (neg.f64 a))
(*.f64 (/.f64 z a) (neg.f64 y))
(*.f64 z (/.f64 (neg.f64 y) a))
(+.f64 (*.f64 (/.f64 y a) t) x)
(/.f64 1 (/.f64 a (*.f64 y t)))
(/.f64 y (/.f64 a (-.f64 t z)))
(/.f64 1 (/.f64 a (*.f64 t y)))
(-.f64 x (*.f64 (/.f64 y a) z))
(*.f64 (/.f64 (-.f64 t z) a) y)
(+.f64 (/.f64 (*.f64 y t) a) x)
(-.f64 x (*.f64 y (/.f64 z a)))
(-.f64 x (/.f64 (*.f64 y z) a))
(-.f64 x (*.f64 t (neg.f64 (/.f64 y a))))
(-.f64 x (/.f64 (neg.f64 t) (/.f64 a y)))
(-.f64 x (/.f64 1 (/.f64 a (*.f64 y z))))
(-.f64 x (/.f64 1 (/.f64 (/.f64 a z) y)))
(-.f64 x (/.f64 (-.f64 z t) (/.f64 a y)))
(-.f64 x (.f64 z (.f64 y (/.f64 1 a))))
(-.f64 x (*.f64 (/.f64 y a) (-.f64 z t)))

Outputs
(-.f64 x (*.f64 (/.f64 y a) (-.f64 z t)))

Calls

6 calls:

73.0ms	z
59.0ms	(-.f64 z t)
52.0ms	a
36.0ms	x
32.0ms	y

Results

Error	Segments	Branch
1.9b	1	`x`
1.9b	1	`y`
1.9b	1	`z`
1.9b	1	`t`
1.9b	1	`a`
1.9b	1	`(-.f64 z t)`

Compiler

Compiled 246 to 103 computations (58.1% saved)

regimes227.0ms (1.7%)

Counts

33 → 1

Calls

Call 1

Inputs
x
x
x
x
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(/.f64 (*.f64 y t) a)
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 t (/.f64 a y))
(/.f64 (*.f64 y t) a)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(neg.f64 (/.f64 z (/.f64 a y)))
(/.f64 (*.f64 z y) (neg.f64 a))
(/.f64 (*.f64 z y) (neg.f64 a))
(*.f64 (/.f64 z a) (neg.f64 y))
(*.f64 z (/.f64 (neg.f64 y) a))
(+.f64 (*.f64 (/.f64 y a) t) x)
(/.f64 1 (/.f64 a (*.f64 y t)))
(/.f64 y (/.f64 a (-.f64 t z)))
(/.f64 1 (/.f64 a (*.f64 t y)))
(-.f64 x (*.f64 (/.f64 y a) z))
(*.f64 (/.f64 (-.f64 t z) a) y)
(+.f64 (/.f64 (*.f64 y t) a) x)
(-.f64 x (*.f64 y (/.f64 z a)))
(-.f64 x (/.f64 (*.f64 y z) a))
(-.f64 x (*.f64 t (neg.f64 (/.f64 y a))))
(-.f64 x (/.f64 (neg.f64 t) (/.f64 a y)))
(-.f64 x (/.f64 1 (/.f64 a (*.f64 y z))))
(-.f64 x (/.f64 1 (/.f64 (/.f64 a z) y)))
(-.f64 x (/.f64 (-.f64 z t) (/.f64 a y)))
(-.f64 x (.f64 z (.f64 y (/.f64 1 a))))

Outputs
(-.f64 x (/.f64 (-.f64 z t) (/.f64 a y)))

Calls

6 calls:

67.0ms	z
35.0ms	y
31.0ms	a
30.0ms	(-.f64 z t)
30.0ms	x

Results

Error	Segments	Branch
2.0b	1	`x`
2.0b	1	`y`
2.0b	1	`z`
2.0b	1	`t`
2.0b	1	`a`
2.0b	1	`(-.f64 z t)`

Compiler

Compiled 237 to 101 computations (57.4% saved)

regimes888.0ms (6.7%)

Counts

31 → 5

Calls

Call 1

Inputs
x
x
x
x
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(/.f64 (*.f64 y t) a)
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 t (/.f64 a y))
(/.f64 (*.f64 y t) a)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(neg.f64 (/.f64 z (/.f64 a y)))
(/.f64 (*.f64 z y) (neg.f64 a))
(/.f64 (*.f64 z y) (neg.f64 a))
(*.f64 (/.f64 z a) (neg.f64 y))
(*.f64 z (/.f64 (neg.f64 y) a))
(+.f64 (*.f64 (/.f64 y a) t) x)
(/.f64 1 (/.f64 a (*.f64 y t)))
(/.f64 y (/.f64 a (-.f64 t z)))
(/.f64 1 (/.f64 a (*.f64 t y)))
(-.f64 x (*.f64 (/.f64 y a) z))
(*.f64 (/.f64 (-.f64 t z) a) y)
(+.f64 (/.f64 (*.f64 y t) a) x)
(-.f64 x (*.f64 y (/.f64 z a)))
(-.f64 x (/.f64 (*.f64 y z) a))
(-.f64 x (*.f64 t (neg.f64 (/.f64 y a))))
(-.f64 x (/.f64 (neg.f64 t) (/.f64 a y)))
(-.f64 x (/.f64 1 (/.f64 a (*.f64 y z))))
(-.f64 x (/.f64 1 (/.f64 (/.f64 a z) y)))

Outputs
(-.f64 x (*.f64 (/.f64 y a) z))
(+.f64 (*.f64 (/.f64 y a) t) x)
(-.f64 x (*.f64 (/.f64 y a) z))
(-.f64 x (/.f64 (neg.f64 t) (/.f64 a y)))
(-.f64 x (*.f64 (/.f64 y a) z))

Calls

5 calls:

278.0ms	y
167.0ms	z
162.0ms	a
114.0ms	t
83.0ms	x

Results

Error	Segments	Branch
10.3b	3	`x`
9.4b	6	`y`
6.0b	5	`z`
7.2b	3	`t`
10.6b	5	`a`

Compiler

Compiled 211 to 87 computations (58.8% saved)

bsearch93.0ms (0.7%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
23.0ms	3.520300080658325e+91	1.0145103901803202e+94
22.0ms	6.581944038841192e-8	2.0717924474903047
24.0ms	2.4217562673675415e-132	2.5037934223564613e-131
24.0ms	-11599.56610957906	-63.96188657421647

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes497.0ms (3.8%)

Counts

28 → 5

Calls

Call 1

Inputs
x
x
x
x
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(/.f64 (*.f64 y t) a)
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 t (/.f64 a y))
(/.f64 (*.f64 y t) a)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(neg.f64 (/.f64 z (/.f64 a y)))
(/.f64 (*.f64 z y) (neg.f64 a))
(/.f64 (*.f64 z y) (neg.f64 a))
(*.f64 (/.f64 z a) (neg.f64 y))
(*.f64 z (/.f64 (neg.f64 y) a))
(+.f64 (*.f64 (/.f64 y a) t) x)
(/.f64 1 (/.f64 a (*.f64 y t)))
(/.f64 y (/.f64 a (-.f64 t z)))
(/.f64 1 (/.f64 a (*.f64 t y)))
(-.f64 x (*.f64 (/.f64 y a) z))
(*.f64 (/.f64 (-.f64 t z) a) y)
(+.f64 (/.f64 (*.f64 y t) a) x)
(-.f64 x (*.f64 y (/.f64 z a)))
(-.f64 x (/.f64 (*.f64 y z) a))
(-.f64 x (*.f64 t (neg.f64 (/.f64 y a))))

Outputs
(-.f64 x (*.f64 (/.f64 y a) z))
(+.f64 (*.f64 (/.f64 y a) t) x)
(-.f64 x (*.f64 (/.f64 y a) z))
(+.f64 (*.f64 (/.f64 y a) t) x)
(-.f64 x (*.f64 (/.f64 y a) z))

Calls

5 calls:

143.0ms	z
124.0ms	y
114.0ms	x
70.0ms	a
40.0ms	t

Results

Error	Segments	Branch
9.3b	5	`x`
9.5b	6	`y`
6.0b	5	`z`
7.2b	3	`t`
10.6b	5	`a`

Compiler

Compiled 185 to 75 computations (59.5% saved)

bsearch93.0ms (0.7%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
22.0ms	3.520300080658325e+91	1.0145103901803202e+94
22.0ms	6.581944038841192e-8	2.0717924474903047
20.0ms	2.4217562673675415e-132	2.5037934223564613e-131
28.0ms	-11599.56610957906	-63.96188657421647

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes133.0ms (1%)

Counts

22 → 3

Calls

Call 1

Inputs
x
x
x
x
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(/.f64 (*.f64 y t) a)
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 t (/.f64 a y))
(/.f64 (*.f64 y t) a)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(neg.f64 (/.f64 z (/.f64 a y)))
(/.f64 (*.f64 z y) (neg.f64 a))
(/.f64 (*.f64 z y) (neg.f64 a))
(*.f64 (/.f64 z a) (neg.f64 y))
(*.f64 z (/.f64 (neg.f64 y) a))
(+.f64 (*.f64 (/.f64 y a) t) x)
(/.f64 1 (/.f64 a (*.f64 y t)))
(/.f64 y (/.f64 a (-.f64 t z)))
(/.f64 1 (/.f64 a (*.f64 t y)))

Outputs
(+.f64 (*.f64 (/.f64 y a) t) x)
(/.f64 y (/.f64 a (-.f64 t z)))
(+.f64 (*.f64 (/.f64 y a) t) x)

Calls

5 calls:

35.0ms	t
32.0ms	y
32.0ms	x
16.0ms	a
12.0ms	z

Results

Error	Segments	Branch
10.3b	3	`x`
12.6b	3	`y`
13.8b	1	`z`
12.0b	3	`t`
13.8b	1	`a`

Compiler

Compiled 142 to 62 computations (56.3% saved)

bsearch45.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
24.0ms	1.4572365962305446e-213	9.221610008387442e-210
20.0ms	-3.223722728542891e-102	-6.859706035176198e-108

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes85.0ms (0.6%)

Counts

20 → 3

Calls

Call 1

Inputs
x
x
x
x
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(/.f64 (*.f64 y t) a)
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 t (/.f64 a y))
(/.f64 (*.f64 y t) a)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(neg.f64 (/.f64 z (/.f64 a y)))
(/.f64 (*.f64 z y) (neg.f64 a))
(/.f64 (*.f64 z y) (neg.f64 a))
(*.f64 (/.f64 z a) (neg.f64 y))
(*.f64 z (/.f64 (neg.f64 y) a))
(+.f64 (*.f64 (/.f64 y a) t) x)
(/.f64 1 (/.f64 a (*.f64 y t)))

Outputs
(+.f64 (*.f64 (/.f64 y a) t) x)
(/.f64 (*.f64 z y) (neg.f64 a))
(+.f64 (*.f64 (/.f64 y a) t) x)

Calls

5 calls:

31.0ms	t
12.0ms	x
12.0ms	z
12.0ms	a
11.0ms	y

Results

Error	Segments	Branch
13.8b	1	`x`
13.8b	1	`y`
13.8b	1	`z`
12.3b	3	`t`
13.8b	1	`a`

Compiler

Compiled 128 to 55 computations (57% saved)

bsearch43.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
21.0ms	1.6178664181833628e-68	5.559840748656596e-68
21.0ms	1.571978099433653e-125	1.000157986886004e-119

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes240.0ms (1.8%)

Counts

18 → 6

Calls

Call 1

Inputs
x
x
x
x
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(/.f64 (*.f64 y t) a)
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 t (/.f64 a y))
(/.f64 (*.f64 y t) a)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(neg.f64 (/.f64 z (/.f64 a y)))
(/.f64 (*.f64 z y) (neg.f64 a))
(/.f64 (*.f64 z y) (neg.f64 a))
(*.f64 (/.f64 z a) (neg.f64 y))
(*.f64 z (/.f64 (neg.f64 y) a))

Outputs
x
(/.f64 t (/.f64 a y))
(/.f64 (*.f64 z y) (neg.f64 a))
(/.f64 (*.f64 y t) a)
(neg.f64 (/.f64 z (/.f64 a y)))
x

Calls

5 calls:

68.0ms	a
51.0ms	x
49.0ms	t
42.0ms	z
25.0ms	y

Results

Error	Segments	Branch
21.2b	6	`x`
28.0b	2	`y`
26.5b	5	`z`
23.7b	6	`t`
25.1b	8	`a`

Compiler

Compiled 114 to 50 computations (56.1% saved)

bsearch104.0ms (0.8%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
21.0ms	1.4572365962305446e-213	9.221610008387442e-210
22.0ms	2.211678346549125e-262	8.508207372913998e-262
21.0ms	-1.3413225124752972e-139	-5.225211559515231e-140
20.0ms	-6.751413709937726e-122	-1.9278228002819117e-124
20.0ms	-508010109484.6945	-0.0008412389572467476

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes204.0ms (1.6%)

Counts

14 → 6

Calls

Call 1

Inputs
x
x
x
x
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(/.f64 (*.f64 y t) a)
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 t (/.f64 a y))
(/.f64 (*.f64 y t) a)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(neg.f64 (/.f64 z (/.f64 a y)))

Outputs
x
(/.f64 t (/.f64 a y))
(neg.f64 (/.f64 z (/.f64 a y)))
(/.f64 (*.f64 y t) a)
(neg.f64 (/.f64 z (/.f64 a y)))
x

Calls

5 calls:

57.0ms	a
46.0ms	x
41.0ms	t
35.0ms	z
22.0ms	y

Results

Error	Segments	Branch
21.2b	6	`x`
28.0b	2	`y`
26.5b	5	`z`
23.9b	6	`t`
25.2b	8	`a`

Compiler

Compiled 90 to 42 computations (53.3% saved)

bsearch105.0ms (0.8%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
21.0ms	1.4572365962305446e-213	9.221610008387442e-210
21.0ms	2.211678346549125e-262	8.508207372913998e-262
22.0ms	-1.3413225124752972e-139	-5.225211559515231e-140
20.0ms	-6.751413709937726e-122	-1.9278228002819117e-124
20.0ms	-508010109484.6945	-0.0008412389572467476

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes146.0ms (1.1%)

Counts

13 → 3

Calls

Call 1

Inputs
x
x
x
x
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(/.f64 (*.f64 y t) a)
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 t (/.f64 a y))
(/.f64 (*.f64 y t) a)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))

Outputs
x
(/.f64 (*.f64 y t) a)
x

Calls

5 calls:

36.0ms	z
35.0ms	a
29.0ms	t
22.0ms	x
20.0ms	y

Results

Error	Segments	Branch
23.9b	3	`x`
28.0b	2	`y`
26.5b	5	`z`
25.1b	4	`t`
26.2b	5	`a`

Compiler

Compiled 84 to 40 computations (52.4% saved)

bsearch43.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
21.0ms	1.2248498293391643e-241	2.7924999807914712e-241
21.0ms	-0.0008412389572467476	-2.0039261921067557e-5

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes22.0ms (0.2%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

4 → 1

Calls

Call 1

Inputs
x
x
x
x

Outputs
x

Calls

5 calls:

5.0ms	z
4.0ms	x
4.0ms	t
4.0ms	y
4.0ms	a

Results

Error	Segments	Branch
29.4b	1	`x`
29.4b	1	`y`
29.4b	1	`z`
29.4b	1	`t`
29.4b	1	`a`

Compiler

Compiled 39 to 30 computations (23.1% saved)

simplify51.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

76×	`distribute-rgt-neg-in_binary64`
61×	`cancel-sign-sub-inv_binary64`
51×	`distribute-lft-neg-in_binary64`
46×	`neg-sub0_binary64`
46×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	91	478
1	126	476
2	172	476
3	216	476
4	252	476
5	275	476
6	302	476
7	340	476
8	391	476
9	464	476
10	525	476
11	573	476
12	606	476
13	624	476

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (.f64 y (-.f64 z t)) a) -1000000000000000066436467741248103118547156170586292454485461107376856746627884050583544890346687569804406120783567460668037744292161050890877875387371120199760770880078039125129799472606133954939884328574613293205683935969567348590731356020719265634967118123751637393518591968740451429495341056) (-.f64 x (.f64 (/.f64 y a) (-.f64 z t))) (if (<=.f64 (/.f64 (.f64 y (-.f64 z t)) a) 39999999999999999321347871798453031921236320962738625287353816798266916864) (-.f64 x (/.f64 (.f64 y (-.f64 z t)) a)) (-.f64 x (*.f64 (/.f64 y a) (-.f64 z t)))))
(-.f64 x (*.f64 (/.f64 y a) (-.f64 z t)))
(-.f64 x (/.f64 (-.f64 z t) (/.f64 a y)))
(if (<=.f64 z -3188464453659649/274877906944) (-.f64 x (.f64 (/.f64 y a) z)) (if (<=.f64 z 3870778427839125/1598335257761788022467377781654101148543282249044465229239888363328190330275719997501596724768507889233831388734160190922469363547795602076820570112) (+.f64 (.f64 (/.f64 y a) t) x) (if (<=.f64 z 4973176307383569/75557863725914323419136) (-.f64 x (.f64 (/.f64 y a) z)) (if (<=.f64 z 35203000806583248857901292153803548288164877837769585577309957574710123046009095941854855168) (-.f64 x (/.f64 (neg.f64 t) (/.f64 a y))) (-.f64 x (.f64 (/.f64 y a) z))))))
(if (<=.f64 z -3188464453659649/274877906944) (-.f64 x (.f64 (/.f64 y a) z)) (if (<=.f64 z 3870778427839125/1598335257761788022467377781654101148543282249044465229239888363328190330275719997501596724768507889233831388734160190922469363547795602076820570112) (+.f64 (.f64 (/.f64 y a) t) x) (if (<=.f64 z 4973176307383569/75557863725914323419136) (-.f64 x (.f64 (/.f64 y a) z)) (if (<=.f64 z 35203000806583248857901292153803548288164877837769585577309957574710123046009095941854855168) (+.f64 (.f64 (/.f64 y a) t) x) (-.f64 x (*.f64 (/.f64 y a) z))))))
(if (<=.f64 x -8129353147232301/2521728396569246669585858566409191283525103313309788586748690777871726193375821479130513040312634601011624191379636224) (+.f64 (.f64 (/.f64 y a) t) x) (if (<=.f64 x 4418723008614499/3032261899024822138962850563403325303236105502181048068630961011769630766965579856114996892243450152247046349017834127355803867273661746858289623584064806912508701125040722471777861885999215712549341795300227478029087591511359488) (/.f64 y (/.f64 a (-.f64 t z))) (+.f64 (.f64 (/.f64 y a) t) x)))
(if (<=.f64 t 1497595322581633/95268205270873786358080970147496530326800480428008152797215483387004752771599292606210513399154418065180265231976520474104247304665780191232) (+.f64 (.f64 (/.f64 y a) t) x) (if (<=.f64 t 982180863244213/60708402882054033466233184588234965832575213720379360039119137804340758912662765568) (/.f64 (.f64 z y) (neg.f64 a)) (+.f64 (*.f64 (/.f64 y a) t) x)))
(if (<=.f64 x -8323237633797235/16384) x (if (<=.f64 x -6281201827997449/93035356709837681990313447409664580397266094167976711716030745495121828878514934185752454491361736391777602765602070775492429008462675968) (/.f64 t (/.f64 a y)) (if (<=.f64 x -7193677847750727/53631231719770388398296099992823384509917463282369573510894245774887056120294187907207497192667613710760127432745944203415015531247786279785734596024336384) (/.f64 (.f64 z y) (neg.f64 a)) (if (<=.f64 x 3920558807173651/17726622920963562283492833353875882150307419319860869157979152909707315649514250439943889552308992750523075148942386782770807567185698815677056677116184170553481231217950104164393978236130449019315710017470734562946173533283208371259654747728689409291887821024109648618981425152) (/.f64 (.f64 y t) a) (if (<=.f64 x 4418723008614499/3032261899024822138962850563403325303236105502181048068630961011769630766965579856114996892243450152247046349017834127355803867273661746858289623584064806912508701125040722471777861885999215712549341795300227478029087591511359488) (neg.f64 (/.f64 z (/.f64 a y))) x)))))
(if (<=.f64 x -8323237633797235/16384) x (if (<=.f64 x -6281201827997449/93035356709837681990313447409664580397266094167976711716030745495121828878514934185752454491361736391777602765602070775492429008462675968) (/.f64 t (/.f64 a y)) (if (<=.f64 x -7193677847750727/53631231719770388398296099992823384509917463282369573510894245774887056120294187907207497192667613710760127432745944203415015531247786279785734596024336384) (neg.f64 (/.f64 z (/.f64 a y))) (if (<=.f64 x 3920558807173651/17726622920963562283492833353875882150307419319860869157979152909707315649514250439943889552308992750523075148942386782770807567185698815677056677116184170553481231217950104164393978236130449019315710017470734562946173533283208371259654747728689409291887821024109648618981425152) (/.f64 (*.f64 y t) a) (if (<=.f64 x 4418723008614499/3032261899024822138962850563403325303236105502181048068630961011769630766965579856114996892243450152247046349017834127355803867273661746858289623584064806912508701125040722471777861885999215712549341795300227478029087591511359488) (neg.f64 (/.f64 z (/.f64 a y))) x)))))
(if (<=.f64 x -3879529937291261/4611686018427387904) x (if (<=.f64 x 7356464565217873/60060134630437601839769261564074054890494076748396028293423195126101052500953853663579281588642651046788432153477643700953461525330417946094091687253119241280317815380727220618693026799113163298559838143343221009234642712357476936954116911097916781328596992) (/.f64 (*.f64 y t) a) x))
x

Outputs
(if (<=.f64 (/.f64 (.f64 y (-.f64 z t)) a) -1000000000000000066436467741248103118547156170586292454485461107376856746627884050583544890346687569804406120783567460668037744292161050890877875387371120199760770880078039125129799472606133954939884328574613293205683935969567348590731356020719265634967118123751637393518591968740451429495341056) (-.f64 x (.f64 (/.f64 y a) (-.f64 z t))) (if (<=.f64 (/.f64 (.f64 y (-.f64 z t)) a) 39999999999999999321347871798453031921236320962738625287353816798266916864) (-.f64 x (/.f64 (.f64 y (-.f64 z t)) a)) (-.f64 x (*.f64 (/.f64 y a) (-.f64 z t)))))
(if (<=.f64 (/.f64 (.f64 y (-.f64 z t)) a) -1000000000000000066436467741248103118547156170586292454485461107376856746627884050583544890346687569804406120783567460668037744292161050890877875387371120199760770880078039125129799472606133954939884328574613293205683935969567348590731356020719265634967118123751637393518591968740451429495341056) (-.f64 x (.f64 (-.f64 z t) (/.f64 y a))) (if (<=.f64 (/.f64 (.f64 y (-.f64 z t)) a) 39999999999999999321347871798453031921236320962738625287353816798266916864) (-.f64 x (/.f64 (.f64 y (-.f64 z t)) a)) (-.f64 x (*.f64 (-.f64 z t) (/.f64 y a)))))
(if (<=.f64 (/.f64 (.f64 y (-.f64 z t)) a) -1000000000000000066436467741248103118547156170586292454485461107376856746627884050583544890346687569804406120783567460668037744292161050890877875387371120199760770880078039125129799472606133954939884328574613293205683935969567348590731356020719265634967118123751637393518591968740451429495341056) (+.f64 x (.f64 (/.f64 y a) (-.f64 t z))) (if (<=.f64 (/.f64 (.f64 y (-.f64 z t)) a) 39999999999999999321347871798453031921236320962738625287353816798266916864) (-.f64 x (/.f64 (.f64 y (-.f64 z t)) a)) (+.f64 x (*.f64 (/.f64 y a) (-.f64 t z)))))
(-.f64 x (*.f64 (/.f64 y a) (-.f64 z t)))
(-.f64 x (*.f64 (-.f64 z t) (/.f64 y a)))
(+.f64 x (*.f64 (/.f64 y a) (-.f64 t z)))
(-.f64 x (/.f64 (-.f64 z t) (/.f64 a y)))
(if (<=.f64 z -3188464453659649/274877906944) (-.f64 x (.f64 (/.f64 y a) z)) (if (<=.f64 z 3870778427839125/1598335257761788022467377781654101148543282249044465229239888363328190330275719997501596724768507889233831388734160190922469363547795602076820570112) (+.f64 (.f64 (/.f64 y a) t) x) (if (<=.f64 z 4973176307383569/75557863725914323419136) (-.f64 x (.f64 (/.f64 y a) z)) (if (<=.f64 z 35203000806583248857901292153803548288164877837769585577309957574710123046009095941854855168) (-.f64 x (/.f64 (neg.f64 t) (/.f64 a y))) (-.f64 x (.f64 (/.f64 y a) z))))))
(if (<=.f64 z -3188464453659649/274877906944) (-.f64 x (.f64 z (/.f64 y a))) (if (<=.f64 z 3870778427839125/1598335257761788022467377781654101148543282249044465229239888363328190330275719997501596724768507889233831388734160190922469363547795602076820570112) (+.f64 x (.f64 t (/.f64 y a))) (if (<=.f64 z 4973176307383569/75557863725914323419136) (-.f64 x (.f64 z (/.f64 y a))) (if (<=.f64 z 35203000806583248857901292153803548288164877837769585577309957574710123046009095941854855168) (-.f64 x (/.f64 (neg.f64 t) (/.f64 a y))) (-.f64 x (.f64 z (/.f64 y a)))))))
(if (<=.f64 z -3188464453659649/274877906944) (-.f64 x (.f64 z (/.f64 y a))) (if (<=.f64 z 3870778427839125/1598335257761788022467377781654101148543282249044465229239888363328190330275719997501596724768507889233831388734160190922469363547795602076820570112) (+.f64 x (.f64 t (/.f64 y a))) (if (<=.f64 z 4973176307383569/75557863725914323419136) (-.f64 x (.f64 z (/.f64 y a))) (if (<=.f64 z 35203000806583248857901292153803548288164877837769585577309957574710123046009095941854855168) (+.f64 x (/.f64 t (/.f64 a y))) (-.f64 x (.f64 z (/.f64 y a)))))))
(if (<=.f64 z -3188464453659649/274877906944) (-.f64 x (.f64 (/.f64 y a) z)) (if (<=.f64 z 3870778427839125/1598335257761788022467377781654101148543282249044465229239888363328190330275719997501596724768507889233831388734160190922469363547795602076820570112) (+.f64 (.f64 (/.f64 y a) t) x) (if (<=.f64 z 4973176307383569/75557863725914323419136) (-.f64 x (.f64 (/.f64 y a) z)) (if (<=.f64 z 35203000806583248857901292153803548288164877837769585577309957574710123046009095941854855168) (+.f64 (.f64 (/.f64 y a) t) x) (-.f64 x (*.f64 (/.f64 y a) z))))))
(if (<=.f64 z -3188464453659649/274877906944) (-.f64 x (.f64 z (/.f64 y a))) (if (<=.f64 z 3870778427839125/1598335257761788022467377781654101148543282249044465229239888363328190330275719997501596724768507889233831388734160190922469363547795602076820570112) (+.f64 x (.f64 t (/.f64 y a))) (if (<=.f64 z 4973176307383569/75557863725914323419136) (-.f64 x (.f64 z (/.f64 y a))) (if (<=.f64 z 35203000806583248857901292153803548288164877837769585577309957574710123046009095941854855168) (+.f64 x (.f64 t (/.f64 y a))) (-.f64 x (*.f64 z (/.f64 y a)))))))
(if (<=.f64 x -8129353147232301/2521728396569246669585858566409191283525103313309788586748690777871726193375821479130513040312634601011624191379636224) (+.f64 (.f64 (/.f64 y a) t) x) (if (<=.f64 x 4418723008614499/3032261899024822138962850563403325303236105502181048068630961011769630766965579856114996892243450152247046349017834127355803867273661746858289623584064806912508701125040722471777861885999215712549341795300227478029087591511359488) (/.f64 y (/.f64 a (-.f64 t z))) (+.f64 (.f64 (/.f64 y a) t) x)))
(if (<=.f64 x -8129353147232301/2521728396569246669585858566409191283525103313309788586748690777871726193375821479130513040312634601011624191379636224) (+.f64 x (.f64 t (/.f64 y a))) (if (<=.f64 x 4418723008614499/3032261899024822138962850563403325303236105502181048068630961011769630766965579856114996892243450152247046349017834127355803867273661746858289623584064806912508701125040722471777861885999215712549341795300227478029087591511359488) (/.f64 y (/.f64 a (-.f64 t z))) (+.f64 x (.f64 t (/.f64 y a)))))
(if (<=.f64 t 1497595322581633/95268205270873786358080970147496530326800480428008152797215483387004752771599292606210513399154418065180265231976520474104247304665780191232) (+.f64 (.f64 (/.f64 y a) t) x) (if (<=.f64 t 982180863244213/60708402882054033466233184588234965832575213720379360039119137804340758912662765568) (/.f64 (.f64 z y) (neg.f64 a)) (+.f64 (*.f64 (/.f64 y a) t) x)))
(if (<=.f64 t 1497595322581633/95268205270873786358080970147496530326800480428008152797215483387004752771599292606210513399154418065180265231976520474104247304665780191232) (+.f64 x (.f64 t (/.f64 y a))) (if (<=.f64 t 982180863244213/60708402882054033466233184588234965832575213720379360039119137804340758912662765568) (/.f64 (.f64 y z) (neg.f64 a)) (+.f64 x (*.f64 t (/.f64 y a)))))
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x

Compiler

Compiled 383 to 191 computations (50.1% saved)

soundness0.0ms (0%)

end102.0ms (0.8%)

Compiler: Compiled 333 to 109 computations (67.3% saved)

Iter	Nodes	Cost
0	8	324
1	15	324
2	35	324
3	69	324
4	114	324
5	162	324
6	202	324
7	238	324
8	275	324
9	394	324
10	445	324

Iter	Nodes	Cost
0	8	324
1	15	324
2	35	324
3	69	324
4	114	324
5	162	324
6	202	324
7	238	324
8	275	324
9	394	324
10	445	324

Iter	Nodes	Cost
0	8	324
1	15	324
2	35	324
3	69	324
4	114	324
5	162	324
6	202	324
7	238	324
8	275	324
9	394	324
10	445	324

Iter	Nodes	Cost
0	91	478
1	126	476
2	172	476
3	216	476
4	252	476
5	275	476
6	302	476
7	340	476
8	391	476
9	464	476
10	525	476
11	573	476
12	606	476
13	624	476

Iter	Nodes	Cost
0	8	324
1	15	324
2	35	324
3	69	324
4	114	324
5	162	324
6	202	324
7	238	324
8	275	324
9	394	324
10	445	324

Iter	Nodes	Cost
0	8	324
1	15	324
2	35	324
3	69	324
4	114	324
5	162	324
6	202	324
7	238	324
8	275	324
9	394	324
10	445	324

Iter	Nodes	Cost
0	8	324
1	15	324
2	35	324
3	69	324
4	114	324
5	162	324
6	202	324
7	238	324
8	275	324
9	394	324
10	445	324

Iter	Nodes	Cost
0	91	478
1	126	476
2	172	476
3	216	476
4	252	476
5	275	476
6	302	476
7	340	476
8	391	476
9	464	476
10	525	476
11	573	476
12	606	476
13	624	476

Iter	Nodes	Cost
0	8	324
1	15	324
2	35	324
3	69	324
4	114	324
5	162	324
6	202	324
7	238	324
8	275	324
9	394	324
10	445	324

Iter	Nodes	Cost
0	8	324
1	15	324
2	35	324
3	69	324
4	114	324
5	162	324
6	202	324
7	238	324
8	275	324
9	394	324
10	445	324

Iter	Nodes	Cost
0	8	324
1	15	324
2	35	324
3	69	324
4	114	324
5	162	324
6	202	324
7	238	324
8	275	324
9	394	324
10	445	324

Iter	Nodes	Cost
0	91	478
1	126	476
2	172	476
3	216	476
4	252	476
5	275	476
6	302	476
7	340	476
8	391	476
9	464	476
10	525	476
11	573	476
12	606	476
13	624	476