Details

analyze639.0ms (5.3%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	99.8%	0.2%	0%	0%	0%	3
0%	0%	99.8%	0.2%	0%	0%	0%	4
0%	0%	99.8%	0.2%	0%	0%	0%	5
0%	0%	99.8%	0.2%	0%	0%	0%	6
0%	0%	99.8%	0.2%	0%	0%	0%	7
0%	0%	99.8%	0.2%	0%	0%	0%	8
0%	0%	99.8%	0.2%	0%	0%	0%	9
0%	0%	99.8%	0.2%	0%	0%	0%	10
3.1%	3.1%	96.6%	0.2%	0%	0%	0%	11
4.7%	4.7%	95.1%	0.2%	0%	0%	0%	12

Compiler

Compiled 17 to 11 computations (35.3% saved)

sample1.9s (15.9%)

Results

1.8s	8256×	body	256	valid
127.0ms	695×	body	256	infinite

Bogosity

preprocess62.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

758×	`div-sub_binary64`
528×	`unsub-neg_binary64`
462×	`distribute-rgt-in_binary64`
411×	`sub-neg_binary64`
371×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	176
1	109	176
2	277	154
3	623	154
4	1431	154
5	3920	154
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 (-.f64 y z) t) (-.f64 a z)))
(+.f64 y (/.f64 (*.f64 (-.f64 x z) t) (-.f64 a z)))
(+.f64 z (/.f64 (*.f64 (-.f64 y x) t) (-.f64 a x)))
(+.f64 t (/.f64 (*.f64 (-.f64 y z) x) (-.f64 a z)))
(+.f64 a (/.f64 (*.f64 (-.f64 y z) t) (-.f64 x z)))
(+.f64 x (/.f64 (*.f64 (-.f64 z y) t) (-.f64 a y)))
(+.f64 x (/.f64 (*.f64 (-.f64 t z) y) (-.f64 a z)))
(+.f64 x (/.f64 (*.f64 (-.f64 a z) t) (-.f64 y z)))
(+.f64 x (/.f64 (*.f64 (-.f64 y t) z) (-.f64 a t)))
(+.f64 x (/.f64 (*.f64 (-.f64 y a) t) (-.f64 z a)))
(+.f64 x (/.f64 (*.f64 (-.f64 y z) a) (-.f64 t z)))

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

Compiler

Compiled 21 to 15 computations (28.6% saved)

simplify70.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

868×	`div-sub_binary64`
726×	`fma-def_binary64`
585×	`fma-neg_binary64`
389×	`sub-neg_binary64`
344×	`times-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	18	16
2	40	14
3	84	14
4	185	14
5	371	14
6	870	14
7	2167	14
8	6382	14
9	7806	14

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 26 to 12 computations (53.8% 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
▶	3.3b	(fma.f64 (-.f64 y z) (/.f64 t (-.f64 a z)) x)
▶	11.6b	(+.f64 x (/.f64 (*.f64 (-.f64 y z) t) (-.f64 a z)))

Compiler

Compiled 31 to 19 computations (38.7% saved)

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (-.f64 y z) t)
✓	0.0b	(+.f64 x (/.f64 (*.f64 (-.f64 y z) t) (-.f64 a z)))
✓	11.7b	(/.f64 (*.f64 (-.f64 y z) t) (-.f64 a z))

Compiler

Compiled 41 to 10 computations (75.6% saved)

series24.0ms (0.2%)

Counts

3 → 144

Calls

36 calls:

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

rewrite89.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

706×	`log-prod_binary64`
521×	`fma-def_binary64`
265×	`fma-neg_binary64`
254×	`pow1/3_binary64`
248×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	36
1	254	36
2	4005	34

Stop Event

1×	node limit

Counts

3 → 148

Calls

Call 1

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

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

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

simplify117.0ms (1%)

Algorithm

1×	egg-herbie

Rules

925×	`times-frac_binary64`
766×	`fma-def_binary64`
673×	`associate-/l*_binary64`
367×	`associate-l_binary64`
360×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	148	3225
1	485	2886
2	1757	2272

Stop Event

1×	node limit

Counts

292 → 237

Calls

Call 1

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

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

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 t (-.f64 a z))
✓	3.3b	(fma.f64 (-.f64 y z) (/.f64 t (-.f64 a z)) x)

Compiler

Compiled 31 to 9 computations (71% saved)

series17.0ms (0.1%)

Counts

2 → 84

Calls

24 calls:

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

rewrite70.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

805×	`prod-diff_binary64`
580×	`log-prod_binary64`
349×	`fma-def_binary64`
322×	`pow2_binary64`
222×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	223	21
2	3261	21

Stop Event

1×	node limit

Counts

2 → 69

Calls

Call 1

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

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

Outputs

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

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

simplify100.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

817×	`fma-def_binary64`
724×	`associate-/l*_binary64`
689×	`associate-+l+_binary64`
445×	`associate-/r*_binary64`
318×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	153	2298
1	497	2216
2	1936	1677

Stop Event

1×	node limit

Counts

153 → 131

Calls

Call 1

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

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

eval134.0ms (1.1%)

Compiler: Compiled 7397 to 2254 computations (69.5% saved)

prune91.0ms (0.8%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	353	15	368
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	355	15	370

Error

Counts

370 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	20.9b	(+.f64 x (/.f64 (*.f64 t (neg.f64 z)) (-.f64 a z)))
	27.4b	(+.f64 t (-.f64 x (/.f64 t (/.f64 z (-.f64 y a)))))
▶	24.1b	(+.f64 x (*.f64 (/.f64 t a) (-.f64 y z)))
	51.3b	(*.f64 t (/.f64 y (-.f64 a z)))
▶	3.7b	(+.f64 x (*.f64 (-.f64 y z) (/.f64 1 (/.f64 (-.f64 a z) t))))
▶	22.9b	(+.f64 x t)
	12.4b	(-.f64 x (*.f64 (/.f64 z (-.f64 a z)) t))
	53.1b	(/.f64 (*.f64 y t) (-.f64 a z))
▶	27.3b	(+.f64 (/.f64 (*.f64 y t) a) x)
▶	43.5b	(/.f64 (*.f64 t (-.f64 y z)) (-.f64 a z))
	36.9b	(*.f64 (/.f64 t (-.f64 a z)) (-.f64 y z))
	29.2b	x
	26.2b	(+.f64 x (*.f64 (/.f64 t a) y))
	25.0b	(-.f64 x (*.f64 (-.f64 (/.f64 y z) 1) t))
	25.5b	(fma.f64 (/.f64 y a) t x)

Compiler

Compiled 378 to 251 computations (33.6% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 a z) t)
✓	0.0b	(+.f64 x (*.f64 (-.f64 y z) (/.f64 1 (/.f64 (-.f64 a z) t))))
✓	0.8b	(/.f64 1 (/.f64 (-.f64 a z) t))
✓	12.3b	(*.f64 (-.f64 y z) (/.f64 1 (/.f64 (-.f64 a z) t)))

Compiler

Compiled 53 to 18 computations (66% saved)

series18.0ms (0.1%)

Counts

4 → 168

Calls

45 calls:

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

rewrite108.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

796×	`log-prod_binary64`
567×	`fma-def_binary64`
298×	`fma-neg_binary64`
276×	`expm1-udef_binary64`
276×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	46
1	299	41
2	4613	41

Stop Event

1×	node limit

Counts

4 → 212

Calls

Call 1

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

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

simplify100.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

829×	`associate-/l*_binary64`
441×	`associate-/r*_binary64`
397×	`associate-l_binary64`
392×	`associate-r_binary64`
314×	`associate-+l-_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	175	3819
1	564	3492
2	2061	2862

Stop Event

1×	node limit

Counts

380 → 315

Calls

Call 1

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

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

localize5.0ms (0%)

Compiler: Compiled 10 to 6 computations (40% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 (*.f64 y t) a) x)
✓	5.8b	(/.f64 (*.f64 y t) a)

Compiler

Compiled 24 to 8 computations (66.7% saved)

series13.0ms (0.1%)

Counts

2 → 12

Calls

21 calls:

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

rewrite72.0ms (0.6%)

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)))))

simplify23.0ms (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	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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (*.f64 (/.f64 t a) (-.f64 y z)))
✓	6.5b	(*.f64 (/.f64 t a) (-.f64 y z))

Compiler

Compiled 32 to 9 computations (71.9% saved)

series13.0ms (0.1%)

Counts

2 → 108

Calls

27 calls:

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

rewrite79.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

609×	`log-prod_binary64`
463×	`pow-prod-down_binary64`
388×	`fma-def_binary64`
323×	`pow2_binary64`
222×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	225	21
2	3413	21

Stop Event

1×	node limit

Counts

2 → 111

Calls

Call 1

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

Outputs

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

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

simplify147.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

890×	`fma-neg_binary64`
554×	`fma-def_binary64`
254×	`cancel-sign-sub-inv_binary64`
135×	`distribute-rgt-in_binary64`
92×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	1151
1	54	1150
2	104	1058
3	199	1058
4	373	1058
5	604	1058
6	1059	1058
7	1686	1058
8	2636	1058
9	3363	1058
10	3458	1058
11	3472	1058
12	3477	1058
13	3481	1058

Stop Event

1×

saturated

Counts

219 → 126

Calls

Call 1

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 t (-.f64 y z))
✓	11.7b	(/.f64 (*.f64 t (-.f64 y z)) (-.f64 a z))

Compiler

Compiled 29 to 9 computations (69% saved)

series6.0ms (0.1%)

Counts

2 → 60

Calls

21 calls:

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

rewrite70.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

745×	`prod-diff_binary64`
582×	`log-prod_binary64`
330×	`fma-def_binary64`
296×	`pow2_binary64`
206×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	205	20
2	3157	20

Stop Event

1×	node limit

Counts

2 → 80

Calls

Call 1

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

Outputs

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

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

simplify52.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

925×	`times-frac_binary64`
669×	`associate-/l*_binary64`
476×	`fma-def_binary64`
368×	`associate-l_binary64`
361×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	104	1414
1	350	1234
2	1354	1051

Stop Event

1×	node limit

Counts

140 → 126

Calls

Call 1

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

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

eval159.0ms (1.3%)

Compiler: Compiled 12024 to 3674 computations (69.4% saved)

prune136.0ms (1.1%)

Pruning

20 alts after pruning (18 fresh and 2 done)

	Pruned	Kept	Total
New	674	13	687
Fresh	5	5	10
Picked	1	0	1
Done	2	2	4
Total	682	20	702

Error

Counts

702 → 20

Alt Table

Click to see full alt table

Status	Error	Program
▶	20.9b	(+.f64 x (/.f64 (*.f64 t (neg.f64 z)) (-.f64 a z)))
	27.4b	(+.f64 t (-.f64 x (/.f64 t (/.f64 z (-.f64 y a)))))
	50.4b	(*.f64 (/.f64 t a) (-.f64 y z))
	51.3b	(*.f64 (/.f64 y (-.f64 a z)) t)
	52.4b	(/.f64 (*.f64 t (-.f64 y z)) a)
	53.1b	(/.f64 (*.f64 y t) (-.f64 a z))
	56.1b	(/.f64 (*.f64 y t) a)
✓	27.3b	(+.f64 (/.f64 (*.f64 y t) a) x)
✓	22.9b	(+.f64 x t)
	12.4b	(-.f64 x (*.f64 (/.f64 z (-.f64 a z)) t))
▶	3.6b	(+.f64 x (/.f64 (-.f64 y z) (/.f64 (-.f64 a z) t)))
	25.0b	(-.f64 x (*.f64 (-.f64 (/.f64 y z) 1) t))
▶	55.5b	(*.f64 (/.f64 t a) y)
	29.2b	x
	25.5b	(fma.f64 (/.f64 y a) t x)
	50.7b	t
▶	52.6b	(/.f64 (*.f64 z (neg.f64 t)) (-.f64 a z))
	49.2b	(*.f64 (/.f64 t z) (neg.f64 (-.f64 y z)))
▶	30.2b	(-.f64 x (/.f64 z (/.f64 a t)))
	36.9b	(*.f64 (/.f64 t (-.f64 a z)) (-.f64 y z))

Compiler

Compiled 444 to 298 computations (32.9% saved)

localize52.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (-.f64 a z) t)
✓	0.0b	(+.f64 x (/.f64 (-.f64 y z) (/.f64 (-.f64 a z) t)))
✓	13.0b	(/.f64 (-.f64 y z) (/.f64 (-.f64 a z) t))

Compiler

Compiled 41 to 10 computations (75.6% saved)

series9.0ms (0.1%)

Counts

2 → 108

Calls

27 calls:

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

rewrite91.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

797×	`log-prod_binary64`
573×	`fma-def_binary64`
359×	`fma-neg_binary64`
266×	`log-div_binary64`
262×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	29
1	266	27
2	4515	27

Stop Event

1×	node limit

Counts

2 → 152

Calls

Call 1

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

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 y (-.f64 a z)) t) (-.f64 (*.f64 (/.f64 z (-.f64 a z)) t) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 y z) (/.f64 t (-.f64 a z)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (-.f64 y z) (/.f64 t (-.f64 a z))))) (/.f64 (pow.f64 (*.f64 (-.f64 y z) (/.f64 t (-.f64 a z))) 2) (-.f64 x (*.f64 (-.f64 y z) (/.f64 t (-.f64 a z))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (*.f64 (/.f64 y (-.f64 a z)) t)) (*.f64 (/.f64 z (-.f64 a z)) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (-.f64 y z) (/.f64 t (-.f64 a z)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (-.f64 y z) (/.f64 t (-.f64 a z)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (-.f64 y z) (/.f64 t (-.f64 a z)) x)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y z) (/.f64 t (-.f64 a z)) x)) 2))))) (#(struct:change #<rule 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simplify78.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

925×	`times-frac_binary64`
761×	`fma-def_binary64`
668×	`associate-/l*_binary64`
364×	`associate-l_binary64`
362×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	146	2865
1	479	2646
2	1746	2032

Stop Event

1×	node limit

Counts

260 → 232

Calls

Call 1

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

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

localize34.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.3b	(*.f64 (/.f64 t a) y)

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 (/.f64 t a) y)
0.0ms	y	@	inf	(*.f64 (/.f64 t a) y)
0.0ms	a	@	-inf	(*.f64 (/.f64 t a) y)
0.0ms	y	@	-inf	(*.f64 (/.f64 t a) y)
0.0ms	t	@	0	(*.f64 (/.f64 t a) y)

rewrite52.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

682×	`pow1_binary64`
629×	`add-log-exp_binary64`
629×	`log1p-expm1-u_binary64`
629×	`expm1-log1p-u_binary64`
614×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	125	7
2	1675	7

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

Outputs

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

simplify15.0ms (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

59 → 25

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 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (/.f64 z (/.f64 a t)))
✓	4.8b	(/.f64 z (/.f64 a t))

Compiler

Compiled 24 to 8 computations (66.7% saved)

series9.0ms (0.1%)

Counts

2 → 84

Calls

21 calls:

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

rewrite123.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

710×	`prod-diff_binary64`
534×	`log-prod_binary64`
305×	`pow-prod-down_binary64`
260×	`pow2_binary64`
226×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	182	17
2	2813	17

Stop Event

1×	node limit

Counts

2 → 253

Calls

Call 1

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

Outputs

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

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

simplify90.0ms (0.7%)

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	10	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	1170	672
11	1326	672
12	1445	672
13	1450	672

Stop Event

1×

saturated

Counts

337 → 259

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	11.9b	(/.f64 (*.f64 z (neg.f64 t)) (-.f64 a z))

Compiler

Compiled 25 to 9 computations (64% saved)

series7.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite63.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1002×	`pow1_binary64`
934×	`add-log-exp_binary64`
933×	`log1p-expm1-u_binary64`
933×	`expm1-log1p-u_binary64`
98×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	182	10
2	2832	10

Stop Event

1×	node limit

Counts

1 → 44

Calls

Call 1

Inputs
(/.f64 (*.f64 z (neg.f64 t)) (-.f64 a z))

Outputs

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

simplify73.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

636×	`associate-/r/_binary64`
568×	`associate-/l/_binary64`
381×	`div-sub_binary64`
368×	`unswap-sqr_binary64`
348×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	43	768
1	131	750
2	451	627
3	2384	582
4	6169	582

Stop Event

1×	node limit

Counts

80 → 61

Calls

Call 1

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

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

localize15.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (/.f64 (*.f64 t (neg.f64 z)) (-.f64 a z)))
✓	11.9b	(/.f64 (*.f64 t (neg.f64 z)) (-.f64 a z))

Compiler

Compiled 36 to 10 computations (72.2% saved)

series13.0ms (0.1%)

Counts

2 → 84

Calls

21 calls:

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

rewrite130.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

576×	`log-prod_binary64`
389×	`pow-prod-down_binary64`
338×	`fma-def_binary64`
282×	`pow2_binary64`
205×	`pow-unpow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	230	23
2	3744	21

Stop Event

1×	node limit

Counts

2 → 176

Calls

Call 1

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

Outputs

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

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

simplify148.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

635×	`associate-/r/_binary64`
566×	`associate-/l/_binary64`
471×	`sub-neg_binary64`
381×	`div-sub_binary64`
312×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	59	1569
1	176	1515
2	579	1302
3	2803	1218
4	6821	1218

Stop Event

1×	node limit

Counts

260 → 210

Calls

Call 1

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

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

eval250.0ms (2.1%)

Compiler: Compiled 17932 to 5735 computations (68% saved)

prune176.0ms (1.5%)

Pruning

24 alts after pruning (19 fresh and 5 done)

	Pruned	Kept	Total
New	832	11	843
Fresh	5	8	13
Picked	0	1	1
Done	2	4	6
Total	839	24	863

Error

Counts

863 → 24

Alt Table

Click to see full alt table

Status	Error	Program
▶	12.4b	(-.f64 x (/.f64 t (-.f64 (/.f64 a z) 1)))
✓	20.9b	(+.f64 x (/.f64 (*.f64 t (neg.f64 z)) (-.f64 a z)))
	50.4b	(*.f64 (/.f64 t a) (-.f64 y z))
	51.3b	(*.f64 (/.f64 y (-.f64 a z)) t)
▶	57.1b	(*.f64 (neg.f64 z) (/.f64 t a))
▶	52.4b	(/.f64 (*.f64 t (-.f64 y z)) a)
	53.1b	(/.f64 (*.f64 y t) (-.f64 a z))
	56.8b	(*.f64 t (/.f64 (neg.f64 z) a))
	49.2b	(*.f64 (/.f64 t z) (neg.f64 (-.f64 y z)))
	50.7b	t
	55.5b	(/.f64 y (/.f64 a t))
✓	30.2b	(-.f64 x (/.f64 z (/.f64 a t)))
▶	55.1b	(/.f64 t (/.f64 a y))
	27.0b	(-.f64 x (/.f64 (-.f64 y z) (/.f64 z t)))
▶	25.0b	(-.f64 x (*.f64 (-.f64 (/.f64 y z) 1) t))
	56.1b	(/.f64 (*.f64 y t) a)
	27.4b	(+.f64 x (-.f64 t (/.f64 t (/.f64 z (-.f64 y a)))))
✓	55.5b	(*.f64 (/.f64 t a) y)
	29.2b	x
	25.5b	(fma.f64 (/.f64 y a) t x)
✓	27.3b	(+.f64 (/.f64 (*.f64 y t) a) x)
✓	22.9b	(+.f64 x t)
	52.9b	(+.f64 t (/.f64 (*.f64 a t) z))
	36.9b	(*.f64 (/.f64 t (-.f64 a z)) (-.f64 y z))

Compiler

Compiled 485 to 331 computations (31.8% saved)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (/.f64 t (-.f64 (/.f64 a z) 1)))
✓	2.7b	(/.f64 t (-.f64 (/.f64 a z) 1))

Compiler

Compiled 34 to 16 computations (52.9% saved)

series22.0ms (0.2%)

Counts

2 → 72

Calls

21 calls:

Time	Variable		Point	Expression
7.0ms	x	@	0	(-.f64 x (/.f64 t (-.f64 (/.f64 a z) 1)))
6.0ms	t	@	inf	(/.f64 t (-.f64 (/.f64 a z) 1))
1.0ms	t	@	0	(/.f64 t (-.f64 (/.f64 a z) 1))
1.0ms	t	@	-inf	(/.f64 t (-.f64 (/.f64 a z) 1))
1.0ms	a	@	0	(/.f64 t (-.f64 (/.f64 a z) 1))

rewrite177.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

802×	`prod-diff_binary64`
573×	`log-prod_binary64`
280×	`fma-def_binary64`
208×	`pow1/3_binary64`
206×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	225	23
2	3290	23

Stop Event

1×	node limit

Counts

2 → 203

Calls

Call 1

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

Outputs

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

simplify110.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

516×	`distribute-rgt-neg-in_binary64`
491×	`times-frac_binary64`
411×	`distribute-lft-neg-in_binary64`
315×	`distribute-neg-frac_binary64`
308×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	63	1449
1	203	1371
2	668	1161
3	3783	1080

Stop Event

1×	node limit

Counts

275 → 238

Calls

Call 1

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

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

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.0b	(/.f64 t (/.f64 a y))

Compiler

Compiled 16 to 7 computations (56.3% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite60.0ms (0.5%)

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 t (/.f64 a y))

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

simplify15.0ms (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

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
✓	4.3b	(*.f64 (neg.f64 z) (/.f64 t a))

Compiler

Compiled 19 to 8 computations (57.9% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite55.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

713×	`pow1_binary64`
658×	`add-log-exp_binary64`
657×	`log1p-expm1-u_binary64`
657×	`expm1-log1p-u_binary64`
643×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	150	7
2	2083	7

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

Outputs

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

simplify31.0ms (0.3%)

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

60 → 26

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(*.f64 t (-.f64 y z))
✓	7.0b	(/.f64 (*.f64 t (-.f64 y z)) a)

Compiler

Compiled 24 to 8 computations (66.7% saved)

series4.0ms (0%)

Counts

1 → 24

Calls

12 calls:

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

rewrite62.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

501×	`log-prod_binary64`
386×	`prod-diff_binary64`
381×	`exp-prod_binary64`
325×	`pow-prod-down_binary64`
250×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	176	10
2	2595	10

Stop Event

1×	node limit

Counts

1 → 57

Calls

Call 1

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

Outputs

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

simplify86.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

971×	`fma-def_binary64`
605×	`fma-neg_binary64`
159×	`cancel-sign-sub-inv_binary64`
99×	`associate-/l*_binary64`
96×	`div-sub_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	354
1	24	336
2	49	336
3	91	228
4	177	228
5	327	228
6	566	228
7	997	228
8	1922	228
9	3114	228
10	3280	228
11	3310	228
12	3315	228
13	3315	228

Stop Event

1×

saturated

Counts

81 → 63

Calls

Call 1

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

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

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (*.f64 (-.f64 (/.f64 y z) 1) t))
✓	2.9b	(*.f64 (-.f64 (/.f64 y z) 1) t)

Compiler

Compiled 34 to 16 computations (52.9% saved)

series11.0ms (0.1%)

Counts

2 → 72

Calls

21 calls:

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

rewrite94.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

884×	`prod-diff_binary64`
557×	`log-prod_binary64`
294×	`pow2_binary64`
285×	`fma-def_binary64`
201×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	222	23
2	3147	23

Stop Event

1×	node limit

Counts

2 → 164

Calls

Call 1

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

Outputs

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

simplify84.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

403×	`fma-neg_binary64`
319×	`fma-def_binary64`
130×	`cancel-sign-sub-inv_binary64`
97×	`distribute-rgt-in_binary64`
67×	`unsub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	816
1	60	678
2	125	678
3	339	678
4	788	678
5	1333	678
6	1813	678
7	1933	678
8	2004	678
9	2011	678

Stop Event

1×

saturated

Counts

236 → 182

Calls

Call 1

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

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

eval339.0ms (2.8%)

Compiler: Compiled 13929 to 6827 computations (51% saved)

prune114.0ms (0.9%)

Pruning

27 alts after pruning (20 fresh and 7 done)

	Pruned	Kept	Total
New	577	9	586
Fresh	3	11	14
Picked	1	0	1
Done	2	7	9
Total	583	27	610

Error

Counts

610 → 27

Alt Table

Click to see full alt table

Status	Error	Program
	47.3b	(*.f64 (-.f64 1 (/.f64 y z)) t)
✓	20.9b	(+.f64 x (/.f64 (*.f64 t (neg.f64 z)) (-.f64 a z)))
✓	12.4b	(-.f64 x (/.f64 t (-.f64 (/.f64 a z) 1)))
	62.1b	(/.f64 z (/.f64 a t))
	51.3b	(*.f64 (/.f64 y (-.f64 a z)) t)
✓	57.1b	(*.f64 (neg.f64 z) (/.f64 t a))
	49.8b	(*.f64 t (/.f64 (-.f64 y z) a))
	55.1b	(*.f64 (/.f64 y a) t)
	53.1b	(/.f64 (*.f64 y t) (-.f64 a z))
	58.8b	(*.f64 y (/.f64 (neg.f64 t) z))
	56.8b	(*.f64 t (/.f64 (neg.f64 z) a))
	50.7b	t
	55.5b	(/.f64 y (/.f64 a t))
	27.0b	(-.f64 x (/.f64 (-.f64 y z) (/.f64 z t)))
✓	30.2b	(-.f64 x (/.f64 z (/.f64 a t)))
	35.1b	(-.f64 x (/.f64 (*.f64 y t) z))
	36.9b	(*.f64 (/.f64 t (-.f64 a z)) (-.f64 y z))
	25.0b	(-.f64 x (+.f64 (.f64 (/.f64 y z) t) (.f64 -1 t)))
	56.1b	(/.f64 (*.f64 y t) a)
	62.3b	(/.f64 (*.f64 z t) a)
✓	55.5b	(*.f64 (/.f64 t a) y)
	29.2b	x
	25.5b	(fma.f64 (/.f64 y a) t x)
	58.3b	(/.f64 (*.f64 z (neg.f64 t)) a)
✓	27.3b	(+.f64 (/.f64 (*.f64 y t) a) x)
✓	22.9b	(+.f64 x t)
	52.9b	(+.f64 t (/.f64 (*.f64 a t) z))

Compiler

Compiled 304 to 211 computations (30.6% saved)

regimes436.0ms (3.6%)

Counts

50 → 3

Calls

Call 1

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

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

Calls

8 calls:

77.0ms	t
70.0ms	x
68.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 y z) t) (-.f64 a z)))
66.0ms	(/.f64 (*.f64 (-.f64 y z) t) (-.f64 a z))
60.0ms	(/.f64 (*.f64 (-.f64 y z) t) (-.f64 a z))

Results

Error	Segments	Branch
2.2b	3	`x`
3.3b	1	`y`
3.3b	1	`z`
0.6b	3	`t`
3.3b	1	`a`
0.3b	3	`(+.f64 x (/.f64 (*.f64 (-.f64 y z) t) (-.f64 a z)))`
0.3b	3	`(/.f64 (*.f64 (-.f64 y z) t) (-.f64 a z))`
0.3b	3	`(/.f64 (*.f64 (-.f64 y z) t) (-.f64 a z))`

Compiler

Compiled 424 to 154 computations (63.7% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.152904305968617e+302	1.1544576260558507e+305
0.0ms	-3.5277423005925514e+136	-3.433555170911567e+135

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes410.0ms (3.4%)

Counts

49 → 3

Calls

Call 1

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

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

Calls

8 calls:

75.0ms	x
74.0ms	t
57.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 y z) t) (-.f64 a z)))
57.0ms	(/.f64 (*.f64 (-.f64 y z) t) (-.f64 a z))
57.0ms	(/.f64 (*.f64 (-.f64 y z) t) (-.f64 a z))

Results

Error	Segments	Branch
2.5b	3	`x`
3.6b	1	`y`
3.6b	1	`z`
0.6b	3	`t`
3.6b	1	`a`
0.3b	3	`(+.f64 x (/.f64 (*.f64 (-.f64 y z) t) (-.f64 a z)))`
0.3b	3	`(/.f64 (*.f64 (-.f64 y z) t) (-.f64 a z))`
0.3b	3	`(/.f64 (*.f64 (-.f64 y z) t) (-.f64 a z))`

Compiler

Compiled 414 to 153 computations (63% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.152904305968617e+302	1.1544576260558507e+305
0.0ms	-inf	-1.7514646410066724e+308

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes406.0ms (3.4%)

Counts

47 → 3

Calls

Call 1

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

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

Calls

8 calls:

73.0ms	t
71.0ms	x
60.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 y z) t) (-.f64 a z)))
58.0ms	(/.f64 (*.f64 (-.f64 y z) t) (-.f64 a z))
58.0ms	(/.f64 (*.f64 (-.f64 y z) t) (-.f64 a z))

Results

Error	Segments	Branch
2.5b	3	`x`
3.6b	1	`y`
3.6b	1	`z`
0.6b	3	`t`
3.6b	1	`a`
0.3b	3	`(+.f64 x (/.f64 (*.f64 (-.f64 y z) t) (-.f64 a z)))`
0.3b	3	`(/.f64 (*.f64 (-.f64 y z) t) (-.f64 a z))`
0.3b	3	`(/.f64 (*.f64 (-.f64 y z) t) (-.f64 a z))`

Compiler

Compiled 395 to 148 computations (62.5% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.152904305968617e+302	1.1544576260558507e+305
0.0ms	-1.3711047933416413e+105	-2.135629606858609e+103

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes136.0ms (1.1%)

Counts

46 → 1

Calls

Call 1

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

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

Calls

5 calls:

26.0ms	t
25.0ms	x
25.0ms	z
25.0ms	a
24.0ms	y

Results

Error	Segments	Branch
3.6b	1	`x`
3.6b	1	`y`
3.6b	1	`z`
3.6b	1	`t`
3.6b	1	`a`

Compiler

Compiled 340 to 117 computations (65.6% saved)

regimes414.0ms (3.4%)

Counts

44 → 3

Calls

Call 1

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

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

Calls

5 calls:

101.0ms	a
88.0ms	z
82.0ms	y
67.0ms	t
64.0ms	x

Results

Error	Segments	Branch
10.2b	3	`x`
9.5b	3	`y`
8.1b	3	`z`
11.0b	3	`t`
9.0b	5	`a`

Compiler

Compiled 318 to 112 computations (64.8% saved)

bsearch44.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
22.0ms	1.724412253058681e-39	3.410193304348883e-32
22.0ms	-5.741463029644397e-155	-4.3316032653768803e-160

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes425.0ms (3.5%)

Counts

37 → 3

Calls

Call 1

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

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

Calls

5 calls:

110.0ms	z
91.0ms	t
91.0ms	a
67.0ms	y
56.0ms	x

Results

Error	Segments	Branch
10.2b	3	`x`
9.5b	3	`y`
8.2b	3	`z`
11.0b	3	`t`
9.0b	5	`a`

Compiler

Compiled 250 to 91 computations (63.6% saved)

bsearch47.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
22.0ms	1.724412253058681e-39	3.410193304348883e-32
24.0ms	-5.741463029644397e-155	-4.3316032653768803e-160

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes321.0ms (2.6%)

Counts

36 → 3

Calls

Call 1

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

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

Calls

5 calls:

84.0ms	a
64.0ms	z
63.0ms	y
53.0ms	t
48.0ms	x

Results

Error	Segments	Branch
10.2b	3	`x`
9.5b	3	`y`
8.7b	3	`z`
11.2b	3	`t`
9.3b	5	`a`

Compiler

Compiled 241 to 90 computations (62.7% saved)

bsearch44.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
21.0ms	9.988549253736776e-245	5.363459132101083e-237
22.0ms	-5.741463029644397e-155	-4.3316032653768803e-160

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes569.0ms (4.7%)

Counts

33 → 3

Calls

Call 1

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

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

Calls

5 calls:

219.0ms	x
135.0ms	y
118.0ms	t
46.0ms	a
43.0ms	z

Results

Error	Segments	Branch
18.1b	7	`x`
16.5b	9	`y`
14.5b	3	`z`
17.8b	7	`t`
16.3b	3	`a`

Compiler

Compiled 214 to 80 computations (62.6% saved)

bsearch43.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
21.0ms	1.724412253058681e-39	3.410193304348883e-32
22.0ms	-4.660609814288562e-96	-7.066804732514336e-108

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes438.0ms (3.6%)

Counts

30 → 3

Calls

Call 1

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

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

Calls

5 calls:

132.0ms	a
96.0ms	x
82.0ms	t
78.0ms	y
44.0ms	z

Results

Error	Segments	Branch
18.1b	7	`x`
18.8b	6	`y`
14.9b	3	`z`
19.0b	5	`t`
16.2b	4	`a`

Compiler

Compiled 191 to 75 computations (60.7% saved)

bsearch47.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
23.0ms	1.724412253058681e-39	3.410193304348883e-32
23.0ms	-4.660609814288562e-96	-7.066804732514336e-108

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes354.0ms (2.9%)

Counts

29 → 5

Calls

Call 1

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

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

Calls

5 calls:

110.0ms	x
87.0ms	y
66.0ms	a
44.0ms	z
38.0ms	t

Results

Error	Segments	Branch
20.7b	3	`x`
18.8b	6	`y`
17.6b	3	`z`
20.7b	3	`t`
16.2b	5	`a`

Compiler

Compiled 184 to 74 computations (59.8% saved)

bsearch98.0ms (0.8%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
25.0ms	8.803251860119609e+117	6.123098153856769e+120
24.0ms	1.0606807149396357e+55	2.0385058181058373e+63
24.0ms	5.815741964192438e+26	5.042907198867734e+28
25.0ms	-3.514077983239558e+151	-8.539267327247384e+142

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes227.0ms (1.9%)

Counts

26 → 3

Calls

Call 1

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

Outputs
(+.f64 x t)
x
(+.f64 x t)

Calls

5 calls:

55.0ms	z
49.0ms	a
49.0ms	x
40.0ms	t
28.0ms	y

Results

Error	Segments	Branch
20.7b	3	`x`
21.1b	2	`y`
18.9b	3	`z`
21.3b	3	`t`
19.4b	4	`a`

Compiler

Compiled 163 to 72 computations (55.8% saved)

bsearch45.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
22.0ms	1.0434913007434336e-47	1.76182266563442e-45
23.0ms	-6.785872207380266e-131	-3.326336491114687e-132

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes54.0ms (0.4%)

Accuracy

Total -36.6b remaining (-144.6%)

Threshold costs -36.6b (-144.6%)

Counts

5 → 3

Calls

Call 1

Inputs
t
x
x
t
x

Outputs
x
t
x

Calls

5 calls:

15.0ms	t
12.0ms	x
12.0ms	a
8.0ms	z
5.0ms	y

Results

Error	Segments	Branch
25.3b	3	`x`
29.2b	1	`y`
27.0b	2	`z`
26.3b	4	`t`
28.2b	3	`a`

Compiler

Compiled 40 to 30 computations (25% saved)

bsearch44.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
22.0ms	3.4896253499042787e-146	1.2725812984549337e-139
22.0ms	-8.168447485859198e-166	-2.3967059408731715e-166

Compiler

Compiled 24 to 17 computations (29.2% saved)

simplify29.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

19×	`+-commutative_binary64`
13×	`*-commutative_binary64`
12×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	96	596
1	127	596
2	151	596
3	163	596
4	170	596
5	171	596

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (+.f64 x (/.f64 (.f64 (-.f64 y z) t) (-.f64 a z))) -20000000000000001173281225401480239510924085727794608776187427091019642704107631219009550715922787179608060751714014998753604207233728512) (fma.f64 (-.f64 y z) (/.f64 t (-.f64 a z)) x) (if (<=.f64 (+.f64 x (/.f64 (.f64 (-.f64 y z) t) (-.f64 a z))) 500000000000000000080882538393228219106334323115829719147747508550558749612869373932630121517106957626889886784090168708013722910283889599821695770803013034305575373061142488088628325022100263638403663533845231056330713750098525613244949130339381695724688044273646160407063978743165327734459561131638784) (+.f64 x (/.f64 (*.f64 (-.f64 y z) t) (-.f64 a z))) (+.f64 x (/.f64 (-.f64 y z) (/.f64 (-.f64 a z) t)))))
(if (<=.f64 (+.f64 x (/.f64 (.f64 (-.f64 y z) t) (-.f64 a z))) -inf.0) (+.f64 x (.f64 (-.f64 y z) (/.f64 1 (/.f64 (-.f64 a z) t)))) (if (<=.f64 (+.f64 x (/.f64 (.f64 (-.f64 y z) t) (-.f64 a z))) 500000000000000000080882538393228219106334323115829719147747508550558749612869373932630121517106957626889886784090168708013722910283889599821695770803013034305575373061142488088628325022100263638403663533845231056330713750098525613244949130339381695724688044273646160407063978743165327734459561131638784) (+.f64 x (/.f64 (.f64 (-.f64 y z) t) (-.f64 a z))) (+.f64 x (/.f64 (-.f64 y z) (/.f64 (-.f64 a z) t)))))
(if (<=.f64 (+.f64 x (/.f64 (.f64 (-.f64 y z) t) (-.f64 a z))) -999999999999999938258300825281978540327027364472124478294416212538871491824599713636820527503908255301632) (+.f64 x (/.f64 (-.f64 y z) (/.f64 (-.f64 a z) t))) (if (<=.f64 (+.f64 x (/.f64 (.f64 (-.f64 y z) t) (-.f64 a z))) 500000000000000000080882538393228219106334323115829719147747508550558749612869373932630121517106957626889886784090168708013722910283889599821695770803013034305575373061142488088628325022100263638403663533845231056330713750098525613244949130339381695724688044273646160407063978743165327734459561131638784) (+.f64 x (/.f64 (*.f64 (-.f64 y z) t) (-.f64 a z))) (+.f64 x (/.f64 (-.f64 y z) (/.f64 (-.f64 a z) t)))))
(+.f64 x (/.f64 (-.f64 y z) (/.f64 (-.f64 a z) t)))
(if (<=.f64 z -6933781035961601/120766797594289323271729746591624604509341479053326093708038601607859973196548763266756055205685080561326988000984443036792658708157593364241965896045846273396780650463232) (-.f64 x (.f64 (/.f64 z (-.f64 a z)) t)) (if (<=.f64 z 5285308176853859/3064991081731777716716694054300618367237478244367204352) (+.f64 x (.f64 (/.f64 t a) (-.f64 y z))) (-.f64 x (*.f64 (/.f64 z (-.f64 a z)) t))))
(if (<=.f64 z -6933781035961601/120766797594289323271729746591624604509341479053326093708038601607859973196548763266756055205685080561326988000984443036792658708157593364241965896045846273396780650463232) (-.f64 x (/.f64 t (-.f64 (/.f64 a z) 1))) (if (<=.f64 z 5285308176853859/3064991081731777716716694054300618367237478244367204352) (+.f64 x (*.f64 (/.f64 t a) (-.f64 y z))) (-.f64 x (/.f64 t (-.f64 (/.f64 a z) 1)))))
(if (<=.f64 z -6933781035961601/120766797594289323271729746591624604509341479053326093708038601607859973196548763266756055205685080561326988000984443036792658708157593364241965896045846273396780650463232) (-.f64 x (/.f64 t (-.f64 (/.f64 a z) 1))) (if (<=.f64 z 6143115396528003/61501577861568104283923723841611832207865934590357532972465351809127477760976746151505184346770074671911354525161107149776344601938347976800349887747194103071045442949864673913541659442291879217725274258783458313456274137454056383441015716964266784080483319808) (+.f64 x (*.f64 (/.f64 t a) y)) (-.f64 x (/.f64 t (-.f64 (/.f64 a z) 1)))))
(if (<=.f64 z -5604167992601771/1202453802380202612679414065556140558016349465041059773802132977424491020858679523053413887173001575952350707712) (+.f64 x t) (if (<=.f64 z 5285308176853859/3064991081731777716716694054300618367237478244367204352) (+.f64 x (*.f64 (/.f64 t a) y)) (+.f64 x t)))
(if (<=.f64 z -5604167992601771/1202453802380202612679414065556140558016349465041059773802132977424491020858679523053413887173001575952350707712) (+.f64 x t) (if (<=.f64 z 5285308176853859/3064991081731777716716694054300618367237478244367204352) (+.f64 (/.f64 (*.f64 y t) a) x) (+.f64 x t)))
(if (<=.f64 a -35140779832395578754960455880527941875424611251621062720022513027636722225307701151433854893490415138637286226382814016065256419695049393120060874162176) (-.f64 x (/.f64 z (/.f64 a t))) (if (<=.f64 a 581574196419243767693836288) (+.f64 x t) (if (<=.f64 a 10606807149396357185058261884905289796271873477083922432) (*.f64 t (/.f64 (-.f64 y z) a)) (if (<=.f64 a 8803251860119608964035959289797194839065156047467027382068323992495140573769685812879576029493306724674558334311858176) (+.f64 x t) (-.f64 x (/.f64 z (/.f64 a t)))))))
(if (<=.f64 z -6778811752326057/99895953610111751404211111353381321783955140565279076827493022708011895642232499843849795298031743077114461795885011932654335221737225129801285632) (+.f64 x t) (if (<=.f64 z 4292674227245883/411376139330301510538742295639337626245683966408394965837152256) x (+.f64 x t)))
(if (<=.f64 x -6779020003231909/8299031137761985917024815727382322302024892464484873799991314659381305622825816292799414097894207588576395773222601578364790302150823550615773749668227927374122363606803019047370752) x (if (<=.f64 x 3924880906117997/112472844863579909570263462692149546471742427957547915827518889315295939516787196757976017152597271428748022765838022378080206651387357492225212879521629096378368) t x))
t

Outputs
(if (<=.f64 (+.f64 x (/.f64 (.f64 (-.f64 y z) t) (-.f64 a z))) -20000000000000001173281225401480239510924085727794608776187427091019642704107631219009550715922787179608060751714014998753604207233728512) (fma.f64 (-.f64 y z) (/.f64 t (-.f64 a z)) x) (if (<=.f64 (+.f64 x (/.f64 (.f64 (-.f64 y z) t) (-.f64 a z))) 500000000000000000080882538393228219106334323115829719147747508550558749612869373932630121517106957626889886784090168708013722910283889599821695770803013034305575373061142488088628325022100263638403663533845231056330713750098525613244949130339381695724688044273646160407063978743165327734459561131638784) (+.f64 x (/.f64 (*.f64 (-.f64 y z) t) (-.f64 a z))) (+.f64 x (/.f64 (-.f64 y z) (/.f64 (-.f64 a z) t)))))
(if (<=.f64 (+.f64 x (/.f64 (.f64 (-.f64 y z) t) (-.f64 a z))) -inf.0) (+.f64 x (.f64 (-.f64 y z) (/.f64 1 (/.f64 (-.f64 a z) t)))) (if (<=.f64 (+.f64 x (/.f64 (.f64 (-.f64 y z) t) (-.f64 a z))) 500000000000000000080882538393228219106334323115829719147747508550558749612869373932630121517106957626889886784090168708013722910283889599821695770803013034305575373061142488088628325022100263638403663533845231056330713750098525613244949130339381695724688044273646160407063978743165327734459561131638784) (+.f64 x (/.f64 (.f64 (-.f64 y z) t) (-.f64 a z))) (+.f64 x (/.f64 (-.f64 y z) (/.f64 (-.f64 a z) t)))))
(if (<=.f64 (+.f64 x (/.f64 (.f64 (-.f64 y z) t) (-.f64 a z))) -999999999999999938258300825281978540327027364472124478294416212538871491824599713636820527503908255301632) (+.f64 x (/.f64 (-.f64 y z) (/.f64 (-.f64 a z) t))) (if (<=.f64 (+.f64 x (/.f64 (.f64 (-.f64 y z) t) (-.f64 a z))) 500000000000000000080882538393228219106334323115829719147747508550558749612869373932630121517106957626889886784090168708013722910283889599821695770803013034305575373061142488088628325022100263638403663533845231056330713750098525613244949130339381695724688044273646160407063978743165327734459561131638784) (+.f64 x (/.f64 (*.f64 (-.f64 y z) t) (-.f64 a z))) (+.f64 x (/.f64 (-.f64 y z) (/.f64 (-.f64 a z) t)))))
(+.f64 x (/.f64 (-.f64 y z) (/.f64 (-.f64 a z) t)))
(if (<=.f64 z -6933781035961601/120766797594289323271729746591624604509341479053326093708038601607859973196548763266756055205685080561326988000984443036792658708157593364241965896045846273396780650463232) (-.f64 x (.f64 (/.f64 z (-.f64 a z)) t)) (if (<=.f64 z 5285308176853859/3064991081731777716716694054300618367237478244367204352) (+.f64 x (.f64 (/.f64 t a) (-.f64 y z))) (-.f64 x (*.f64 (/.f64 z (-.f64 a z)) t))))
(if (<=.f64 z -6933781035961601/120766797594289323271729746591624604509341479053326093708038601607859973196548763266756055205685080561326988000984443036792658708157593364241965896045846273396780650463232) (-.f64 x (.f64 t (/.f64 z (-.f64 a z)))) (if (<=.f64 z 5285308176853859/3064991081731777716716694054300618367237478244367204352) (+.f64 x (.f64 (-.f64 y z) (/.f64 t a))) (-.f64 x (*.f64 t (/.f64 z (-.f64 a z))))))
(if (<=.f64 z -6933781035961601/120766797594289323271729746591624604509341479053326093708038601607859973196548763266756055205685080561326988000984443036792658708157593364241965896045846273396780650463232) (-.f64 x (/.f64 t (-.f64 (/.f64 a z) 1))) (if (<=.f64 z 5285308176853859/3064991081731777716716694054300618367237478244367204352) (+.f64 x (*.f64 (/.f64 t a) (-.f64 y z))) (-.f64 x (/.f64 t (-.f64 (/.f64 a z) 1)))))
(if (<=.f64 z -6933781035961601/120766797594289323271729746591624604509341479053326093708038601607859973196548763266756055205685080561326988000984443036792658708157593364241965896045846273396780650463232) (-.f64 x (/.f64 t (+.f64 (/.f64 a z) -1))) (if (<=.f64 z 5285308176853859/3064991081731777716716694054300618367237478244367204352) (+.f64 x (*.f64 (-.f64 y z) (/.f64 t a))) (-.f64 x (/.f64 t (+.f64 (/.f64 a z) -1)))))
(if (<=.f64 z -6933781035961601/120766797594289323271729746591624604509341479053326093708038601607859973196548763266756055205685080561326988000984443036792658708157593364241965896045846273396780650463232) (-.f64 x (/.f64 t (-.f64 (/.f64 a z) 1))) (if (<=.f64 z 6143115396528003/61501577861568104283923723841611832207865934590357532972465351809127477760976746151505184346770074671911354525161107149776344601938347976800349887747194103071045442949864673913541659442291879217725274258783458313456274137454056383441015716964266784080483319808) (+.f64 x (*.f64 (/.f64 t a) y)) (-.f64 x (/.f64 t (-.f64 (/.f64 a z) 1)))))
(if (<=.f64 z -6933781035961601/120766797594289323271729746591624604509341479053326093708038601607859973196548763266756055205685080561326988000984443036792658708157593364241965896045846273396780650463232) (-.f64 x (/.f64 t (+.f64 (/.f64 a z) -1))) (if (<=.f64 z 6143115396528003/61501577861568104283923723841611832207865934590357532972465351809127477760976746151505184346770074671911354525161107149776344601938347976800349887747194103071045442949864673913541659442291879217725274258783458313456274137454056383441015716964266784080483319808) (+.f64 x (*.f64 y (/.f64 t a))) (-.f64 x (/.f64 t (+.f64 (/.f64 a z) -1)))))
(if (<=.f64 z -5604167992601771/1202453802380202612679414065556140558016349465041059773802132977424491020858679523053413887173001575952350707712) (+.f64 x t) (if (<=.f64 z 5285308176853859/3064991081731777716716694054300618367237478244367204352) (+.f64 x (*.f64 (/.f64 t a) y)) (+.f64 x t)))
(if (<=.f64 z -5604167992601771/1202453802380202612679414065556140558016349465041059773802132977424491020858679523053413887173001575952350707712) (+.f64 x t) (if (<=.f64 z 5285308176853859/3064991081731777716716694054300618367237478244367204352) (+.f64 x (*.f64 y (/.f64 t a))) (+.f64 x t)))
(if (<=.f64 z -5604167992601771/1202453802380202612679414065556140558016349465041059773802132977424491020858679523053413887173001575952350707712) (+.f64 x t) (if (<=.f64 z 5285308176853859/3064991081731777716716694054300618367237478244367204352) (+.f64 (/.f64 (*.f64 y t) a) x) (+.f64 x t)))
(if (<=.f64 z -5604167992601771/1202453802380202612679414065556140558016349465041059773802132977424491020858679523053413887173001575952350707712) (+.f64 x t) (if (<=.f64 z 5285308176853859/3064991081731777716716694054300618367237478244367204352) (+.f64 x (/.f64 (*.f64 y t) a)) (+.f64 x t)))
(if (<=.f64 a -35140779832395578754960455880527941875424611251621062720022513027636722225307701151433854893490415138637286226382814016065256419695049393120060874162176) (-.f64 x (/.f64 z (/.f64 a t))) (if (<=.f64 a 581574196419243767693836288) (+.f64 x t) (if (<=.f64 a 10606807149396357185058261884905289796271873477083922432) (*.f64 t (/.f64 (-.f64 y z) a)) (if (<=.f64 a 8803251860119608964035959289797194839065156047467027382068323992495140573769685812879576029493306724674558334311858176) (+.f64 x t) (-.f64 x (/.f64 z (/.f64 a t)))))))
(if (<=.f64 z -6778811752326057/99895953610111751404211111353381321783955140565279076827493022708011895642232499843849795298031743077114461795885011932654335221737225129801285632) (+.f64 x t) (if (<=.f64 z 4292674227245883/411376139330301510538742295639337626245683966408394965837152256) x (+.f64 x t)))
(if (<=.f64 x -6779020003231909/8299031137761985917024815727382322302024892464484873799991314659381305622825816292799414097894207588576395773222601578364790302150823550615773749668227927374122363606803019047370752) x (if (<=.f64 x 3924880906117997/112472844863579909570263462692149546471742427957547915827518889315295939516787196757976017152597271428748022765838022378080206651387357492225212879521629096378368) t x))
t

Compiler

Compiled 475 to 221 computations (53.5% saved)

soundness182.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

868×	`div-sub_binary64`
726×	`fma-def_binary64`
585×	`fma-neg_binary64`
389×	`sub-neg_binary64`
344×	`times-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	18	16
2	40	14
3	84	14
4	185	14
5	371	14
6	870	14
7	2167	14
8	6382	14
9	7806	14

Stop Event

1×	node limit

Compiler

Compiled 63 to 39 computations (38.1% saved)

end114.0ms (0.9%)

Compiler: Compiled 415 to 125 computations (69.9% 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