Details

analyze1.6s (21.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
3.1%	96.6%	0.2%	11
4.7%	95.1%	0.2%	12
8.2%	91.6%	0.2%	13
10.5%	88.2%	1.3%	14

Compiler

Compiled 15 to 10 computations (33.3% saved)

sample1.4s (19%)

Results

1.0s	8256×	body	128	valid
342.0ms	2662×	body	128	invalid

Compiler

Compiled 30 to 20 computations (33.3% saved)

preprocess35.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

355×	`fma-neg_binary64`
312×	`sub-neg_binary64`
245×	`associate-/l*_binary64`
235×	`div-sub_binary64`
223×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	143
1	112	143
2	283	143
3	920	133
4	2971	121
0	5	5

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2
3
4

Outputs
0
1
2
3
4

Call 2

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

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

Compiler

Compiled 14 to 9 computations (35.7% saved)

simplify45.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

783×	`fma-neg_binary64`
721×	`fma-def_binary64`
245×	`cancel-sign-sub-inv_binary64`
187×	`distribute-rgt-in_binary64`
138×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	17	13
2	39	13
3	107	13
4	326	11
5	814	11
6	1834	11
7	3225	11
8	3920	11
9	3976	11
10	4006	11
11	4011	11
12	4011	11

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

prune3.0ms (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

Status	Error	Program
	5.6b	(fma.f64 y (/.f64 (-.f64 t z) a) x)
▶	3.9b	(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))

Compiler

Compiled 76 to 46 computations (39.5% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
✓	0.0b	(*.f64 y (-.f64 z t))
✓	4.1b	(/.f64 (*.f64 y (-.f64 z t)) a)

series24.0ms (0.3%)

Counts

3 → 120

Calls

36 calls:

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

rewrite88.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

946×	`prod-diff_binary64`
151×	`egg-rr`
124×	`add-sqr-sqrt_binary64`
123×	`*-un-lft-identity_binary64`
123×	`pow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	226	30
2	3446	30

Stop Event

1×	node limit

Counts

3 → 214

Calls

Call 1

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

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

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

simplify97.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	1349
1	102	1158
2	213	1148
3	467	1058
4	1138	1058
5	2595	1058
6	3354	1058
7	3548	1058
8	3614	1058
9	3624	1058
10	3628	1058

Stop Event

1×

saturated

Counts

334 → 248

Calls

Call 1

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

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

prune192.0ms (2.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	243	5	248
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	244	6	250

Error

0.0b

Counts

250 → 6

Alt Table

Status	Error	Program
▶	1.8b	(-.f64 x (*.f64 (/.f64 y a) (-.f64 z t)))
	5.6b	(fma.f64 y (/.f64 (-.f64 t z) a) x)
	34.5b	(-.f64 x (pow.f64 (pow.f64 (*.f64 (/.f64 y a) (-.f64 z t)) 3) 1/3))
	5.0b	(-.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
	13.2b	(-.f64 x (.f64 (cbrt.f64 (.f64 (/.f64 y a) (-.f64 z t))) (cbrt.f64 (pow.f64 (*.f64 (/.f64 y a) (-.f64 z t)) 2))))
	3.8b	(-.f64 (+.f64 (/.f64 (.f64 y t) a) x) (/.f64 (.f64 y z) a))

Compiler

Compiled 7455 to 2235 computations (70% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (*.f64 (/.f64 y a) (-.f64 z t)))
✓	6.6b	(*.f64 (/.f64 y a) (-.f64 z t))

series10.0ms (0.1%)

Counts

2 → 108

Calls

27 calls:

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

rewrite60.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

373×	`fma-def_binary64`
222×	`expm1-udef_binary64`
222×	`log1p-udef_binary64`
182×	`log-pow_binary64`
164×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	229	23
2	3504	23

Stop Event

1×	node limit

Counts

2 → 136

Calls

Call 1

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

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

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

simplify88.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	37	1205
1	94	1158
2	205	1148
3	457	1058
4	1119	1058
5	2526	1058
6	3541	1058
7	3872	1058
8	3982	1058
9	3989	1058
10	3989	1058

Stop Event

1×

saturated

Counts

244 → 164

Calls

Call 1

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

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

prune119.0ms (1.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	163	1	164
Fresh	0	5	5
Picked	1	0	1
Done	0	0	0
Total	164	6	170

Error

Counts

170 → 6

Alt Table

Status	Error	Program
	34.5b	(-.f64 x (pow.f64 (pow.f64 (*.f64 (/.f64 y a) (-.f64 z t)) 3) 1/3))
	5.0b	(-.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
▶	1.6b	(-.f64 x (/.f64 (-.f64 z t) (/.f64 a y)))
	5.6b	(fma.f64 y (/.f64 (-.f64 t z) a) x)
	13.2b	(-.f64 x (.f64 (cbrt.f64 (.f64 (/.f64 y a) (-.f64 z t))) (cbrt.f64 (pow.f64 (*.f64 (/.f64 y a) (-.f64 z t)) 2))))
	3.8b	(-.f64 (+.f64 (/.f64 (.f64 y t) a) x) (/.f64 (.f64 y z) a))

Compiler

Compiled 3291 to 789 computations (76% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (/.f64 (-.f64 z t) (/.f64 a y)))
✓	6.7b	(/.f64 (-.f64 z t) (/.f64 a y))

series7.0ms (0.1%)

Counts

2 → 108

Calls

27 calls:

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

rewrite71.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

403×	`fma-def_binary64`
230×	`expm1-udef_binary64`
230×	`log1p-udef_binary64`
204×	`fma-neg_binary64`
130×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	235	23
2	3820	23

Stop Event

1×	node limit

Counts

2 → 161

Calls

Call 1

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

Outputs

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

simplify91.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	37	1541
1	94	1158
2	205	1148
3	457	1058
4	1118	1058
5	2519	1058
6	3510	1058
7	3841	1058
8	3951	1058
9	3958	1058
10	3958	1058

Stop Event

1×

saturated

Counts

269 → 188

Calls

Call 1

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

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

prune148.0ms (2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	188	0	188
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	188	6	194

Error

Counts

194 → 6

Alt Table

Status	Error	Program
	34.5b	(-.f64 x (pow.f64 (pow.f64 (*.f64 (/.f64 y a) (-.f64 z t)) 3) 1/3))
	5.0b	(-.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
✓	1.6b	(-.f64 x (/.f64 (-.f64 z t) (/.f64 a y)))
	5.6b	(fma.f64 y (/.f64 (-.f64 t z) a) x)
	13.2b	(-.f64 x (.f64 (cbrt.f64 (.f64 (/.f64 y a) (-.f64 z t))) (cbrt.f64 (pow.f64 (*.f64 (/.f64 y a) (-.f64 z t)) 2))))
▶	3.8b	(-.f64 (+.f64 (/.f64 (.f64 y t) a) x) (/.f64 (.f64 y z) a))

Compiler

Compiled 4070 to 849 computations (79.1% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 (*.f64 y t) a) x)
✓	0.0b	(-.f64 (+.f64 (/.f64 (.f64 y t) a) x) (/.f64 (.f64 y z) a))
✓	4.3b	(/.f64 (*.f64 y t) a)
✓	5.1b	(/.f64 (*.f64 y z) a)

series22.0ms (0.3%)

Counts

4 → 48

Calls

45 calls:

Time	Variable		Point	Expression
3.0ms	a	@	-inf	(/.f64 (*.f64 y t) a)
2.0ms	t	@	inf	(+.f64 (/.f64 (*.f64 y t) a) x)
1.0ms	y	@	0	(/.f64 (*.f64 y z) a)
1.0ms	y	@	0	(/.f64 (*.f64 y t) a)
1.0ms	x	@	0	(-.f64 (+.f64 (/.f64 (.f64 y t) a) x) (/.f64 (.f64 y z) a))

rewrite76.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

262×	`expm1-udef_binary64`
262×	`log1p-udef_binary64`
147×	`add-sqr-sqrt_binary64`
146×	`*-un-lft-identity_binary64`
146×	`pow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	43
1	273	43
2	4399	43

Stop Event

1×	node limit

Counts

4 → 177

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 y (/.f64 a z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 y (/.f64 1 (/.f64 a z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 y (.f64 z (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 z (.f64 y (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 y z) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 y (/.f64 a z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 y (/.f64 a z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 y (/.f64 a z))) (pow.f64 (cbrt.f64 (/.f64 y (/.f64 a z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 y (/.f64 a z))) 2) (cbrt.f64 (/.f64 y (/.f64 a z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 y z)) 2) (.f64 (cbrt.f64 (.f64 y z)) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 y (/.f64 a z))) (sqrt.f64 (/.f64 y (/.f64 a z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 y z)) (.f64 (sqrt.f64 (.f64 y z)) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 y (neg.f64 z)) (/.f64 1 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 a) (.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 y 1) (/.f64 z a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 y a) z)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 y (pow.f64 (cbrt.f64 a) 2)) (/.f64 z (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (.f64 y z) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 y (sqrt.f64 a)) (/.f64 z (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (.f64 y z) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 z 1) (/.f64 y a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 y z)) 2) 1) (/.f64 (cbrt.f64 (.f64 y z)) a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 y z)) 1) (/.f64 (sqrt.f64 (.f64 y z)) a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 z (pow.f64 (cbrt.f64 a) 2)) (/.f64 y (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 y z)) 2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (/.f64 y (/.f64 a z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 y z)) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (sqrt.f64 (.f64 y z)) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 z (sqrt.f64 a)) (/.f64 y (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 y z)) 2) (sqrt.f64 a)) (/.f64 (cbrt.f64 (.f64 y z)) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (/.f64 a z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 y (/.f64 a z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 y (/.f64 a z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (/.f64 a z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (.f64 y z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (.f64 y z) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 y (/.f64 a z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 y (/.f64 a z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 y (/.f64 a z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 y (/.f64 a z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 y (/.f64 a z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 y (/.f64 a z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 y (/.f64 a z))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 y (/.f64 a z))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 t (/.f64 a y)))) 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 t (/.f64 a y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 t (/.f64 a y)))))) (#(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 (cbrt.f64 (/.f64 t (/.f64 a y))) (pow.f64 (cbrt.f64 (/.f64 t (/.f64 a y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 t (/.f64 a y))) 2) (cbrt.f64 (/.f64 t (/.f64 a y))))))) (#(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 (sqrt.f64 (/.f64 t (/.f64 a y))) (sqrt.f64 (/.f64 t (/.f64 a y))))))) (#(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 (/.f64 1 (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 t (/.f64 a y))))))) (#(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 (/.f64 1 (sqrt.f64 a)) (/.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 t (/.f64 a y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 t (/.f64 a y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 t (/.f64 a y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 t (/.f64 a y)) 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 neg.f64 (/.f64 (.f64 y t) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 t (/.f64 a y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 t (/.f64 a y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 t (/.f64 a y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 t (/.f64 a y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 t (/.f64 a y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 t (/.f64 a y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 t (/.f64 a y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 t (/.f64 a y))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 t (/.f64 a y)) (-.f64 x (/.f64 y (/.f64 a z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 t (/.f64 a y)) (.f64 (-.f64 x (/.f64 y (/.f64 a z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (-.f64 (/.f64 t (/.f64 a y)) (/.f64 y (/.f64 a z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (+.f64 (/.f64 t (/.f64 a y)) (/.f64 (neg.f64 y) (/.f64 a z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 t (/.f64 a y)) x) (/.f64 (neg.f64 y) (/.f64 a z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 t (/.f64 a y)) x) (.f64 (/.f64 (neg.f64 y) (/.f64 a z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 t (/.f64 a y)) (-.f64 x (/.f64 y (/.f64 a z)))) (fma.f64 (neg.f64 (/.f64 1 a)) (.f64 y z) (/.f64 y (/.f64 a z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 t (/.f64 a y)) (-.f64 x (/.f64 y (/.f64 a z)))) (fma.f64 (/.f64 (neg.f64 y) (/.f64 a z)) 1 (/.f64 y (/.f64 a z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 t (/.f64 a y)) (-.f64 x (/.f64 y (/.f64 a z)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 y (/.f64 a z)))) (pow.f64 (cbrt.f64 (/.f64 y (/.f64 a z))) 2) (/.f64 y (/.f64 a z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 t (/.f64 a y)) (-.f64 x (/.f64 y (/.f64 a z)))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 y (/.f64 a z)))) (sqrt.f64 (/.f64 y (/.f64 a z))) (/.f64 y (/.f64 a z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 y) (/.f64 a z)) (+.f64 (/.f64 t (/.f64 a y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 y (/.f64 a z))) (/.f64 t (/.f64 a y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (/.f64 t (/.f64 a y)) (-.f64 x (/.f64 y (/.f64 a z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (/.f64 t (/.f64 a y)) (-.f64 x (/.f64 y (/.f64 a z)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 (/.f64 t (/.f64 a y)) (-.f64 x (/.f64 y (/.f64 a z))))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 t (/.f64 a y)) (-.f64 x (/.f64 y (/.f64 a z))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 t (/.f64 a y)) (-.f64 x (/.f64 y (/.f64 a z))))) 2) (cbrt.f64 (+.f64 (/.f64 t (/.f64 a y)) (-.f64 x (/.f64 y (/.f64 a z))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 (/.f64 t (/.f64 a y)) (-.f64 x (/.f64 y (/.f64 a z))))) (sqrt.f64 (+.f64 (/.f64 t (/.f64 a y)) (-.f64 x (/.f64 y (/.f64 a z))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (+.f64 (/.f64 t (/.f64 a y)) x) 3) (pow.f64 (/.f64 y (/.f64 a z)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (/.f64 t (/.f64 a y)) x) 2) (.f64 (/.f64 y (/.f64 a z)) (+.f64 (/.f64 y (/.f64 a z)) (+.f64 (/.f64 t (/.f64 a y)) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (+.f64 (/.f64 t (/.f64 a y)) x) 2) (pow.f64 (/.f64 y (/.f64 a z)) 2)) (/.f64 1 (+.f64 (/.f64 y (/.f64 a z)) (+.f64 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simplify60.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

730×	`fma-neg_binary64`
680×	`fma-def_binary64`
247×	`cancel-sign-sub-inv_binary64`
136×	`distribute-rgt-in_binary64`
105×	`unsub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	38	451
1	113	451
2	281	416
3	694	374
4	1609	374
5	2885	374
6	3505	374
7	3633	374
8	3675	374
9	3680	374

Stop Event

1×

saturated

Counts

225 → 197

Calls

Call 1

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

prune131.0ms (1.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	197	0	197
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	197	6	203

Error

Counts

203 → 6

Alt Table

Status	Error	Program
	34.5b	(-.f64 x (pow.f64 (pow.f64 (*.f64 (/.f64 y a) (-.f64 z t)) 3) 1/3))
	5.0b	(-.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
✓	1.6b	(-.f64 x (/.f64 (-.f64 z t) (/.f64 a y)))
	5.6b	(fma.f64 y (/.f64 (-.f64 t z) a) x)
	13.2b	(-.f64 x (.f64 (cbrt.f64 (.f64 (/.f64 y a) (-.f64 z t))) (cbrt.f64 (pow.f64 (*.f64 (/.f64 y a) (-.f64 z t)) 2))))
✓	3.8b	(-.f64 (+.f64 (/.f64 (.f64 y t) a) x) (/.f64 (.f64 y z) a))

Compiler

Compiled 4160 to 1034 computations (75.1% saved)

regimes2.8s (38.5%)

Accuracy

Total 1.3b remaining (98.9%)

Threshold costs 0b (0%)

Counts

174 → 3

Compiler

Compiled 2136 to 618 computations (71.1% saved)

bsearch14.0ms (0.2%)

Algorithm

2×	binary-search

Calls

2 calls:

8.0ms	y
5.0ms	y

Steps

Iters	Point		Range
1.65e-46	∈ [	1.4599033904654763e-46	,	1.9871189389860773e-46	]
-1e-175	∈ [	-3.4165263259815445e-166	,	-1.1458142131674756e-178	]

Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

45×	`distribute-rgt-neg-in_binary64`
34×	`cancel-sign-sub-inv_binary64`
30×	`distribute-lft-neg-in_binary64`
25×	`neg-sub0_binary64`
25×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	55
1	41	53
2	59	53
3	75	53
4	110	53
5	138	53
6	163	53
7	195	53
8	235	53
9	280	53
10	311	53
11	329	53
12	335	53

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 y -456244061762219520/4562440617622195218641171605700291324893228507248559930579192517899275167208677386505912811317371399778642309573594407310688704721375437998252661319722214188251994674360264950082874192246603776) (fma.f64 -1 (*.f64 (-.f64 z t) (/.f64 y a)) x) (if (<=.f64 y 8484632873687469/51422017416287688817342786954917203280710495801049370729644032) (-.f64 x (/.f64 (+.f64 (*.f64 y z) (*.f64 y (neg.f64 t))) a)) (fma.f64 y (/.f64 (-.f64 t z) a) x)))

Outputs
(if (<=.f64 y -456244061762219520/4562440617622195218641171605700291324893228507248559930579192517899275167208677386505912811317371399778642309573594407310688704721375437998252661319722214188251994674360264950082874192246603776) (fma.f64 -1 (.f64 (-.f64 z t) (/.f64 y a)) x) (if (<=.f64 y 8484632873687469/51422017416287688817342786954917203280710495801049370729644032) (-.f64 x (/.f64 (+.f64 (.f64 y z) (*.f64 y (neg.f64 t))) a)) (fma.f64 y (/.f64 (-.f64 t z) a) x)))
(if (<=.f64 y -891101683129335/8911016831293350036408538292383381493932086928219843614412485386522021810954448020519360959604241015192660760885926576778688876408936402340337229140082449586429677098359892480630613656731648) (fma.f64 -1 (.f64 (-.f64 z t) (/.f64 y a)) x) (if (<=.f64 y 8484632873687469/51422017416287688817342786954917203280710495801049370729644032) (-.f64 x (/.f64 (+.f64 (.f64 y z) (*.f64 y (neg.f64 t))) a)) (fma.f64 y (/.f64 (-.f64 t z) a) x)))
(if (<=.f64 y -891101683129335/8911016831293350036408538292383381493932086928219843614412485386522021810954448020519360959604241015192660760885926576778688876408936402340337229140082449586429677098359892480630613656731648) (fma.f64 -1 (.f64 (-.f64 z t) (/.f64 y a)) x) (if (<=.f64 y 8484632873687469/51422017416287688817342786954917203280710495801049370729644032) (-.f64 x (/.f64 (-.f64 (.f64 y z) (*.f64 y t)) a)) (fma.f64 y (/.f64 (-.f64 t z) a) x)))
(if (<=.f64 y -891101683129335/8911016831293350036408538292383381493932086928219843614412485386522021810954448020519360959604241015192660760885926576778688876408936402340337229140082449586429677098359892480630613656731648) (fma.f64 -1 (.f64 (-.f64 z t) (/.f64 y a)) x) (if (<=.f64 y 8484632873687469/51422017416287688817342786954917203280710495801049370729644032) (+.f64 x (/.f64 (-.f64 (.f64 y t) (*.f64 y z)) a)) (fma.f64 y (/.f64 (-.f64 t z) a) x)))

end92.0ms (1.3%)

Stop Event

1×

fuel

Compiler

Compiled 187 to 112 computations (40.1% saved)

Iter	Nodes	Cost
0	27	55
1	41	53
2	59	53
3	75	53
4	110	53
5	138	53
6	163	53
7	195	53
8	235	53
9	280	53
10	311	53
11	329	53
12	335	53

Iter	Nodes	Cost
0	27	55
1	41	53
2	59	53
3	75	53
4	110	53
5	138	53
6	163	53
7	195	53
8	235	53
9	280	53
10	311	53
11	329	53
12	335	53

Details

analyze1.6s (21.6%)

sample1.4s (19%)

preprocess35.0ms (0.5%)

simplify45.0ms (0.6%)

prune3.0ms (0%)

localize6.0ms (0.1%)

series24.0ms (0.3%)

rewrite88.0ms (1.2%)

simplify97.0ms (1.3%)

prune192.0ms (2.6%)

localize8.0ms (0.1%)

series10.0ms (0.1%)

rewrite60.0ms (0.8%)

simplify88.0ms (1.2%)

prune119.0ms (1.6%)

localize10.0ms (0.1%)

series7.0ms (0.1%)

rewrite71.0ms (1%)

simplify91.0ms (1.2%)

prune148.0ms (2%)

localize8.0ms (0.1%)

series22.0ms (0.3%)

rewrite76.0ms (1%)

simplify60.0ms (0.8%)

prune131.0ms (1.8%)

regimes2.8s (38.5%)

bsearch14.0ms (0.2%)

simplify9.0ms (0.1%)

end92.0ms (1.3%)

Profiling

Iter	Nodes	Cost
0	27	55
1	41	53
2	59	53
3	75	53
4	110	53
5	138	53
6	163	53
7	195	53
8	235	53
9	280	53
10	311	53
11	329	53
12	335	53