Details

analyze441.0ms (2.6%)

Algorithm

1×

Search

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

Compiler

Compiled 19 to 14 computations (26.3% saved)

sample1.7s (9.8%)

Results

1.2s	8256×	body	256	valid
464.0ms	3251×	body	256	invalid

preprocess72.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

770×	`times-frac_binary64`
763×	`distribute-neg-frac_binary64`
477×	`fma-neg_binary64`
445×	`div-sub_binary64`
413×	`associate-*r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	209
1	199	187
2	704	187
3	2404	187
4	6853	187
0	5	5
1	5	5

Stop Event

1×	unsound
1×	node limit

Calls

Call 1

Inputs
0
1
2
3
4

Outputs
0
1
0
2
3
2
4

Call 2

Inputs
(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) (.f64 a 2))
(/.f64 (-.f64 (.f64 y x) (.f64 (.f64 z 9) t)) (.f64 a 2))
(/.f64 (-.f64 (.f64 z y) (.f64 (.f64 x 9) t)) (.f64 a 2))
(/.f64 (-.f64 (.f64 t y) (.f64 (.f64 z 9) x)) (.f64 a 2))
(/.f64 (-.f64 (.f64 a y) (.f64 (.f64 z 9) t)) (.f64 x 2))
(/.f64 (-.f64 (.f64 x z) (.f64 (.f64 y 9) t)) (.f64 a 2))
(/.f64 (-.f64 (.f64 x t) (.f64 (.f64 z 9) y)) (.f64 a 2))
(/.f64 (-.f64 (.f64 x a) (.f64 (.f64 z 9) t)) (.f64 y 2))
(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 t 9) z)) (.f64 a 2))
(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 a 9) t)) (.f64 z 2))
(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) a)) (.f64 t 2))

Outputs
(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) (.f64 a 2))
(/.f64 (fma.f64 x y (.f64 z (.f64 t -9))) (*.f64 a 2))
(/.f64 (fma.f64 x y (.f64 t (.f64 z -9))) (*.f64 a 2))
(/.f64 (-.f64 (.f64 y x) (.f64 (.f64 z 9) t)) (.f64 a 2))
(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) (.f64 a 2))
(/.f64 (fma.f64 x y (.f64 z (.f64 t -9))) (*.f64 a 2))
(/.f64 (fma.f64 x y (.f64 t (.f64 z -9))) (*.f64 a 2))
(/.f64 (-.f64 (.f64 z y) (.f64 (.f64 x 9) t)) (.f64 a 2))
(/.f64 (-.f64 (.f64 y z) (.f64 x (.f64 9 t))) (.f64 a 2))
(/.f64 (fma.f64 y z (.f64 x (.f64 t -9))) (*.f64 a 2))
(/.f64 (fma.f64 x (.f64 t -9) (.f64 y z)) (*.f64 a 2))
(/.f64 (-.f64 (.f64 t y) (.f64 (.f64 z 9) x)) (.f64 a 2))
(/.f64 (-.f64 (.f64 y t) (.f64 x (.f64 z 9))) (.f64 a 2))
(/.f64 (fma.f64 y t (.f64 x (.f64 z -9))) (*.f64 a 2))
(/.f64 (fma.f64 x (.f64 z -9) (.f64 y t)) (*.f64 a 2))
(/.f64 (-.f64 (.f64 a y) (.f64 (.f64 z 9) t)) (.f64 x 2))
(/.f64 (-.f64 (.f64 y a) (.f64 (.f64 z 9) t)) (.f64 x 2))
(/.f64 (fma.f64 y a (.f64 z (.f64 t -9))) (*.f64 x 2))
(/.f64 (fma.f64 y a (.f64 t (.f64 z -9))) (*.f64 x 2))
(/.f64 (-.f64 (.f64 x z) (.f64 (.f64 y 9) t)) (.f64 a 2))
(/.f64 (-.f64 (.f64 x z) (.f64 t (.f64 y 9))) (.f64 a 2))
(/.f64 (fma.f64 x z (.f64 t (.f64 y -9))) (*.f64 a 2))
(/.f64 (fma.f64 x z (.f64 y (.f64 t -9))) (*.f64 a 2))
(/.f64 (-.f64 (.f64 x t) (.f64 (.f64 z 9) y)) (.f64 a 2))
(/.f64 (-.f64 (.f64 x t) (.f64 y (.f64 z 9))) (.f64 a 2))
(/.f64 (fma.f64 x t (.f64 z (.f64 y -9))) (*.f64 a 2))
(/.f64 (fma.f64 x t (.f64 y (.f64 z -9))) (*.f64 a 2))
(/.f64 (-.f64 (.f64 x a) (.f64 (.f64 z 9) t)) (.f64 y 2))
(/.f64 (fma.f64 x a (.f64 z (.f64 t -9))) (*.f64 y 2))
(/.f64 (fma.f64 x a (.f64 t (.f64 z -9))) (*.f64 y 2))
(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 t 9) z)) (.f64 a 2))
(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) (.f64 a 2))
(/.f64 (fma.f64 x y (.f64 z (.f64 t -9))) (*.f64 a 2))
(/.f64 (fma.f64 x y (.f64 t (.f64 z -9))) (*.f64 a 2))
(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 a 9) t)) (.f64 z 2))
(/.f64 (-.f64 (.f64 x y) (.f64 t (.f64 9 a))) (.f64 z 2))
(/.f64 (fma.f64 x y (.f64 a (.f64 t -9))) (*.f64 z 2))
(/.f64 (fma.f64 x y (.f64 t (.f64 a -9))) (*.f64 z 2))
(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) a)) (.f64 t 2))
(/.f64 (-.f64 (.f64 x y) (.f64 z (.f64 9 a))) (.f64 t 2))
(/.f64 (fma.f64 x y (.f64 z (.f64 a -9))) (*.f64 t 2))
(/.f64 (fma.f64 x y (.f64 -9 (.f64 z a))) (*.f64 t 2))

Symmetry

(sort x y)

(sort z t)

Compiler

Compiled 23 to 18 computations (21.7% saved)

simplify106.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

789×	`fma-def_binary64`
757×	`fma-neg_binary64`
540×	`cancel-sign-sub-inv_binary64`
472×	`times-frac_binary64`
432×	`div-sub_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	19
1	31	17
2	109	17
3	349	17
4	984	17
5	2404	17
6	4110	17
7	4913	17
8	6240	17
9	7368	17

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) (.f64 a 2))

Outputs
(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) (.f64 a 2))
(/.f64 (fma.f64 x y (.f64 t (.f64 z -9))) (*.f64 a 2))
(/.f64 (fma.f64 x y (.f64 z (.f64 t -9))) (*.f64 a 2))
(.f64 (/.f64 1/2 a) (fma.f64 x y (.f64 z (*.f64 t -9))))
(.f64 1/2 (/.f64 (fma.f64 x y (.f64 z (*.f64 t -9))) a))

eval1.0ms (0%)

Compiler: Compiled 30 to 20 computations (33.3% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

7.0b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	7.0b	(.f64 1/2 (/.f64 (fma.f64 x y (.f64 z (*.f64 t -9))) a))
▶	7.0b	(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) (.f64 a 2))

Compiler

Compiled 35 to 25 computations (28.6% saved)

localize19.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 x y (.f64 z (.f64 t -9)))
✓	0.2b	(.f64 z (.f64 t -9))
✓	6.6b	(/.f64 (fma.f64 x y (.f64 z (.f64 t -9))) a)

Compiler

Compiled 50 to 28 computations (44% saved)

series63.0ms (0.4%)

Counts

3 → 132

Calls

33 calls:

Time	Variable		Point	Expression
46.0ms	z	@	0	(/.f64 (fma.f64 x y (.f64 z (.f64 t -9))) a)
2.0ms	a	@	-inf	(/.f64 (fma.f64 x y (.f64 z (.f64 t -9))) a)
1.0ms	x	@	0	(/.f64 (fma.f64 x y (.f64 z (.f64 t -9))) a)
1.0ms	a	@	0	(/.f64 (fma.f64 x y (.f64 z (.f64 t -9))) a)
1.0ms	x	@	-inf	(/.f64 (fma.f64 x y (.f64 z (.f64 t -9))) a)

rewrite101.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

576×	`log-prod_binary64`
446×	`exp-prod_binary64`
344×	`pow-prod-down_binary64`
301×	`pow2_binary64`
240×	`prod-diff_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	32
1	225	32
2	2786	32

Stop Event

1×	node limit

Counts

3 → 107

Calls

Call 1

Inputs
(/.f64 (fma.f64 x y (.f64 z (.f64 t -9))) a)
(.f64 z (.f64 t -9))
(fma.f64 x y (.f64 z (.f64 t -9)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 z (.f64 t -9) (.f64 x y)) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 z (.f64 t -9) (.f64 x y)) a))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 z (.f64 t -9) (.f64 x y)) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 z (.f64 t -9) (.f64 x y)) a)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 z (.f64 t -9) (.f64 x y)) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 z (.f64 t -9) (.f64 x y)) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 z (.f64 t -9) (.f64 x y)) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 z (.f64 t -9) (.f64 x y)) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (fma.f64 z (.f64 t -9) (.f64 x y)) a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (fma.f64 z (.f64 t -9) (.f64 x y)) a)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (.f64 t -9) (.f64 x y)) a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (.f64 t -9) (.f64 x y)) a)) 2) (cbrt.f64 (/.f64 (fma.f64 z (.f64 t -9) (.f64 x y)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (fma.f64 z (.f64 t -9) (.f64 x y)) 2)) (.f64 (cbrt.f64 (fma.f64 z (.f64 t -9) (.f64 x y))) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (fma.f64 z (.f64 t -9) (.f64 x y)) a)) (sqrt.f64 (/.f64 (fma.f64 z (.f64 t -9) (.f64 x y)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 z (.f64 t -9) (.f64 x y))) (.f64 (sqrt.f64 (fma.f64 z (.f64 t -9) (.f64 x y))) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (fma.f64 z (.f64 t -9) (.f64 x y))) (/.f64 1 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 a) (fma.f64 z (.f64 t -9) (.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 z (.f64 t -9) (.f64 x y)) 2)) 1) (/.f64 (cbrt.f64 (fma.f64 z (.f64 t -9) (.f64 x y))) a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (fma.f64 z (.f64 t -9) (.f64 x y))) 1) (/.f64 (sqrt.f64 (fma.f64 z (.f64 t -9) (.f64 x y))) a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 a) -2) (/.f64 (fma.f64 z (.f64 t -9) (.f64 x y)) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 z (.f64 t -9) (.f64 x y)) 2)) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (/.f64 (fma.f64 z (.f64 t -9) (.f64 x y)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (fma.f64 z (.f64 t -9) (.f64 x y))) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (sqrt.f64 (fma.f64 z (.f64 t -9) (.f64 x y))) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 a -1/2) (/.f64 (fma.f64 z (.f64 t -9) (.f64 x y)) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 z (.f64 t -9) (.f64 x y)) 2)) (sqrt.f64 a)) (/.f64 (cbrt.f64 (fma.f64 z (.f64 t -9) (.f64 x y))) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 z (.f64 t -9) (.f64 x y)) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 z (.f64 t -9) (.f64 x y)) a) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 z (.f64 t -9) (.f64 x y)) a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (.f64 t -9) (.f64 x y)) a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 z (.f64 t -9) (.f64 x y)) a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (fma.f64 z (.f64 t -9) (.f64 x y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 (fma.f64 z (.f64 t -9) (.f64 x y)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (fma.f64 z (.f64 t -9) (.f64 x y)) 3) (pow.f64 a 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 a (fma.f64 z (.f64 t -9) (.f64 x y))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (fma.f64 z (.f64 t -9) (.f64 x y)) a))) 2)) (cbrt.f64 (log.f64 (/.f64 (fma.f64 z (.f64 t -9) (.f64 x y)) a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (fma.f64 z (.f64 t -9) (.f64 x y)) a)))) (sqrt.f64 (log.f64 (/.f64 (fma.f64 z (.f64 t -9) (.f64 x y)) a))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 z (.f64 t -9) (.f64 x y)) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 z (.f64 t -9) (.f64 x y)) a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 z (.f64 t -9) (.f64 x y)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 z (.f64 t -9) (.f64 x y)) a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 z (.f64 t -9) (.f64 x y)) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 z (.f64 t -9) (.f64 x y)) 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 z (.f64 t -9) (.f64 x y)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 z (.f64 t -9) (.f64 x y)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 z (.f64 t -9) (.f64 x y)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 z (.f64 t -9) (.f64 x y)) a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (fma.f64 z (.f64 t -9) (.f64 x y)) a))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 (fma.f64 z (.f64 t -9) (.f64 x y)) a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 (fma.f64 z (.f64 t -9) (.f64 x y)) a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 a (fma.f64 z (.f64 t -9) (.f64 x y)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (/.f64 (fma.f64 z (.f64 t -9) (*.f64 x y)) a)) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 z (.f64 t -9)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 t) (.f64 -9 z))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 t) (.f64 -9 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 t) (.f64 -9 z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 t) (.f64 -9 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 z (.f64 t -9)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 z (.f64 t -9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (.f64 z t) 2) 81) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 z (.f64 t -9)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 z (.f64 t -9))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 z (.f64 t -9))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (.f64 z (.f64 t -9))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 z (.f64 t -9)))) 2)) (cbrt.f64 (log.f64 (.f64 z (.f64 t -9)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 z (.f64 t -9))))) (sqrt.f64 (log.f64 (.f64 z (.f64 t -9)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 (.f64 z t) 2) 81))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 t) (.f64 -9 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 z (.f64 t -9)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 z (.f64 t -9)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 z (.f64 t -9))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 z (.f64 t -9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 z (.f64 t -9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 z (.f64 t -9))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (.f64 z (.f64 t -9)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 z (.f64 t -9)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 z (.f64 t -9)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 z (.f64 t -9))) 1) 1))))))
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Outputs

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(log.f64 (cbrt.f64 (/.f64 (fma.f64 z (*.f64 t -9) (*.f64 x y)) a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (fma.f64 z (*.f64 t -9) (*.f64 x y)) a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 a (fma.f64 z (*.f64 t -9) (*.f64 x y)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (fma.f64 z (*.f64 t -9) (*.f64 x y)) a)) 1) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 z (*.f64 t -9)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 t) (*.f64 -9 z))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 t) (*.f64 -9 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 t) (*.f64 -9 z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 t) (*.f64 -9 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (*.f64 t -9)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (*.f64 t -9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 z t) 2) 81) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (*.f64 t -9)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (*.f64 t -9))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (*.f64 t -9))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 z (*.f64 t -9))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 z (*.f64 t -9)))) 2)) (cbrt.f64 (log.f64 (*.f64 z (*.f64 t -9)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 z (*.f64 t -9))))) (sqrt.f64 (log.f64 (*.f64 z (*.f64 t -9)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (*.f64 z t) 2) 81))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 t) (*.f64 -9 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 z (*.f64 t -9)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (*.f64 t -9)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (*.f64 t -9))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (*.f64 t -9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (*.f64 t -9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 z (*.f64 t -9))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 z (*.f64 t -9)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z (*.f64 t -9)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z (*.f64 t -9)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 z (*.f64 t -9))) 1) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (*.f64 t -9)) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x y) (*.f64 z (*.f64 t -9)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 z (*.f64 t -9) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x y) 1) (*.f64 z (*.f64 t -9)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 z (*.f64 t -9) (*.f64 x y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 z (*.f64 t -9) (*.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 z (*.f64 t -9) (*.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 z (*.f64 t -9) (*.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 z (*.f64 t -9) (*.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 z (*.f64 t -9) (*.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 z (*.f64 t -9) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 z (*.f64 t -9) (*.f64 x y))) (cbrt.f64 (pow.f64 (fma.f64 z (*.f64 t -9) (*.f64 x y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 z (*.f64 t -9) (*.f64 x y)) 2)) (cbrt.f64 (fma.f64 z (*.f64 t -9) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 z (*.f64 t -9) (*.f64 x y))) (sqrt.f64 (fma.f64 z (*.f64 t -9) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 z (*.f64 t -9)) 3)) (+.f64 (pow.f64 (*.f64 x y) 2) (-.f64 (*.f64 (pow.f64 (*.f64 z t) 2) 81) (*.f64 (*.f64 x y) (*.f64 z (*.f64 t -9))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (pow.f64 (*.f64 z t) 2) 81)) (-.f64 (*.f64 x y) (*.f64 z (*.f64 t -9))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 z (*.f64 t -9) (*.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 z (*.f64 t -9) (*.f64 x y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 z (*.f64 t -9) (*.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 z (*.f64 t -9) (*.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 z (*.f64 t -9) (*.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 z (*.f64 t -9) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 z (*.f64 t -9) (*.f64 x y)))) 2)) (cbrt.f64 (log.f64 (fma.f64 z (*.f64 t -9) (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 z (*.f64 t -9) (*.f64 x y))))) (sqrt.f64 (log.f64 (fma.f64 z (*.f64 t -9) (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 z (*.f64 t -9) (*.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 z (*.f64 t -9) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (*.f64 t -9) (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 z (*.f64 t -9)))) (pow.f64 (exp.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 y) x) (+.f64 1 (expm1.f64 (*.f64 z (*.f64 t -9))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 z (*.f64 t -9) (*.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 z (*.f64 t -9) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 z (*.f64 t -9) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 z (*.f64 t -9) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 z (*.f64 t -9) (*.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 z (*.f64 t -9) (*.f64 x y)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 z (*.f64 t -9) (*.f64 x y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 z (*.f64 t -9) (*.f64 x y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 z (*.f64 t -9) (*.f64 x y))) 1) 1))))))

simplify52.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

30×	`fma-def_binary64`
19×	`associate-/l*_binary64`
16×	`*-commutative_binary64`
15×	`associate-/r/_binary64`
10×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	1512
1	31	1512
2	57	1512
3	92	1512
4	125	1512
5	143	1512
6	145	1512

Stop Event

1×

saturated

Counts

239 → 120

Calls

Call 1

Inputs
(.f64 -9 (/.f64 (.f64 t z) a))
(+.f64 (.f64 -9 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(+.f64 (.f64 -9 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(+.f64 (.f64 -9 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(/.f64 (*.f64 y x) a)
(+.f64 (.f64 -9 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(+.f64 (.f64 -9 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(+.f64 (.f64 -9 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(/.f64 (*.f64 y x) a)
(+.f64 (.f64 -9 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(+.f64 (.f64 -9 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(+.f64 (.f64 -9 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(.f64 -9 (/.f64 (.f64 t z) a))
(+.f64 (.f64 -9 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(+.f64 (.f64 -9 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(+.f64 (.f64 -9 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(/.f64 (*.f64 y x) a)
(+.f64 (.f64 -9 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(+.f64 (.f64 -9 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(+.f64 (.f64 -9 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(/.f64 (*.f64 y x) a)
(+.f64 (.f64 -9 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(+.f64 (.f64 -9 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(+.f64 (.f64 -9 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(/.f64 (*.f64 y x) a)
(+.f64 (.f64 -9 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(+.f64 (.f64 -9 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(+.f64 (.f64 -9 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(.f64 -9 (/.f64 (.f64 t z) a))
(+.f64 (.f64 -9 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(+.f64 (.f64 -9 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(+.f64 (.f64 -9 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(.f64 -9 (/.f64 (.f64 t z) a))
(+.f64 (.f64 -9 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(+.f64 (.f64 -9 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(+.f64 (.f64 -9 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(/.f64 (*.f64 y x) a)
(+.f64 (.f64 -9 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(+.f64 (.f64 -9 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(+.f64 (.f64 -9 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(.f64 -9 (/.f64 (.f64 t z) a))
(+.f64 (.f64 -9 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(+.f64 (.f64 -9 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(+.f64 (.f64 -9 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(.f64 -9 (/.f64 (.f64 t z) a))
(+.f64 (.f64 -9 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(+.f64 (.f64 -9 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(+.f64 (.f64 -9 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(/.f64 (+.f64 (.f64 y x) (.f64 -9 (*.f64 t z))) a)
(/.f64 (+.f64 (.f64 y x) (.f64 -9 (*.f64 t z))) a)
(/.f64 (+.f64 (.f64 y x) (.f64 -9 (*.f64 t z))) a)
(/.f64 (+.f64 (.f64 y x) (.f64 -9 (*.f64 t z))) a)
(/.f64 (+.f64 (.f64 y x) (.f64 -9 (*.f64 t z))) a)
(/.f64 (+.f64 (.f64 y x) (.f64 -9 (*.f64 t z))) a)
(/.f64 (+.f64 (.f64 y x) (.f64 -9 (*.f64 t z))) a)
(/.f64 (+.f64 (.f64 y x) (.f64 -9 (*.f64 t z))) a)
(/.f64 (+.f64 (.f64 y x) (.f64 -9 (*.f64 t z))) a)
(/.f64 (+.f64 (.f64 y x) (.f64 -9 (*.f64 t z))) a)
(/.f64 (+.f64 (.f64 y x) (.f64 -9 (*.f64 t z))) a)
(/.f64 (+.f64 (.f64 y x) (.f64 -9 (*.f64 t z))) a)
(.f64 -9 (.f64 t z))
(.f64 -9 (.f64 t z))
(.f64 -9 (.f64 t z))
(.f64 -9 (.f64 t z))
(.f64 -9 (.f64 t z))
(.f64 -9 (.f64 t z))
(.f64 -9 (.f64 t z))
(.f64 -9 (.f64 t z))
(.f64 -9 (.f64 t z))
(.f64 -9 (.f64 t z))
(.f64 -9 (.f64 t z))
(.f64 -9 (.f64 t z))
(.f64 -9 (.f64 t z))
(.f64 -9 (.f64 t z))
(.f64 -9 (.f64 t z))
(.f64 -9 (.f64 t z))
(.f64 -9 (.f64 t z))
(.f64 -9 (.f64 t z))
(.f64 -9 (.f64 t z))
(.f64 -9 (.f64 t z))
(.f64 -9 (.f64 t z))
(.f64 -9 (.f64 t z))
(.f64 -9 (.f64 t z))
(.f64 -9 (.f64 t z))
(.f64 -9 (.f64 t z))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(.f64 -9 (.f64 t z))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(.f64 -9 (.f64 t z))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(.f64 -9 (.f64 t z))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(.f64 -9 (.f64 t z))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(.f64 -9 (.f64 t z))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))

Outputs
(.f64 -9 (/.f64 (.f64 t z) a))
(/.f64 (.f64 (.f64 -9 t) z) a)
(/.f64 (.f64 t (.f64 z -9)) a)
(.f64 (/.f64 t a) (.f64 -9 z))
(+.f64 (.f64 -9 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(fma.f64 -9 (/.f64 t (/.f64 a z)) (/.f64 y (/.f64 a x)))
(fma.f64 -9 (.f64 (/.f64 t a) z) (.f64 (/.f64 y a) x))
(fma.f64 (/.f64 y a) x (.f64 (/.f64 t a) (.f64 -9 z)))
(fma.f64 x (/.f64 y a) (.f64 (/.f64 t a) (.f64 -9 z)))
(fma.f64 (.f64 t z) (/.f64 -9 a) (.f64 y (/.f64 x a)))
(fma.f64 t (.f64 -9 (/.f64 z a)) (.f64 y (/.f64 x a)))
(+.f64 (.f64 -9 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(fma.f64 -9 (/.f64 t (/.f64 a z)) (/.f64 y (/.f64 a x)))
(fma.f64 -9 (.f64 (/.f64 t a) z) (.f64 (/.f64 y a) x))
(fma.f64 (/.f64 y a) x (.f64 (/.f64 t a) (.f64 -9 z)))
(fma.f64 x (/.f64 y a) (.f64 (/.f64 t a) (.f64 -9 z)))
(fma.f64 (.f64 t z) (/.f64 -9 a) (.f64 y (/.f64 x a)))
(fma.f64 t (.f64 -9 (/.f64 z a)) (.f64 y (/.f64 x a)))
(+.f64 (.f64 -9 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(fma.f64 -9 (/.f64 t (/.f64 a z)) (/.f64 y (/.f64 a x)))
(fma.f64 -9 (.f64 (/.f64 t a) z) (.f64 (/.f64 y a) x))
(fma.f64 (/.f64 y a) x (.f64 (/.f64 t a) (.f64 -9 z)))
(fma.f64 x (/.f64 y a) (.f64 (/.f64 t a) (.f64 -9 z)))
(fma.f64 (.f64 t z) (/.f64 -9 a) (.f64 y (/.f64 x a)))
(fma.f64 t (.f64 -9 (/.f64 z a)) (.f64 y (/.f64 x a)))
(/.f64 (*.f64 y x) a)
(/.f64 y (/.f64 a x))
(*.f64 (/.f64 y a) x)
(*.f64 x (/.f64 y a))
(*.f64 y (/.f64 x a))
(+.f64 (.f64 -9 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(fma.f64 -9 (/.f64 t (/.f64 a z)) (/.f64 y (/.f64 a x)))
(fma.f64 -9 (.f64 (/.f64 t a) z) (.f64 (/.f64 y a) x))
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(+.f64 (.f64 -9 (/.f64 (.f64 t z) a)) (/.f64 (*.f64 y x) a))
(fma.f64 -9 (/.f64 t (/.f64 a z)) (/.f64 y (/.f64 a x)))
(fma.f64 -9 (.f64 (/.f64 t a) z) (.f64 (/.f64 y a) x))
(fma.f64 (/.f64 y a) x (.f64 (/.f64 t a) (.f64 -9 z)))
(fma.f64 x (/.f64 y a) (.f64 (/.f64 t a) (.f64 -9 z)))
(fma.f64 (.f64 t z) (/.f64 -9 a) (.f64 y (/.f64 x a)))
(fma.f64 t (.f64 -9 (/.f64 z a)) (.f64 y (/.f64 x a)))
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(/.f64 (fma.f64 -9 (.f64 t z) (.f64 y x)) a)
(/.f64 (+.f64 (.f64 y x) (.f64 -9 (*.f64 t z))) a)
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(/.f64 (+.f64 (.f64 y x) (.f64 -9 (*.f64 t z))) a)
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(/.f64 (fma.f64 -9 (.f64 t z) (.f64 y x)) a)
(/.f64 (+.f64 (.f64 y x) (.f64 -9 (*.f64 t z))) a)
(/.f64 (fma.f64 y x (.f64 (.f64 -9 t) z)) a)
(/.f64 (fma.f64 -9 (.f64 t z) (.f64 y x)) a)
(/.f64 (+.f64 (.f64 y x) (.f64 -9 (*.f64 t z))) a)
(/.f64 (fma.f64 y x (.f64 (.f64 -9 t) z)) a)
(/.f64 (fma.f64 -9 (.f64 t z) (.f64 y x)) a)
(/.f64 (+.f64 (.f64 y x) (.f64 -9 (*.f64 t z))) a)
(/.f64 (fma.f64 y x (.f64 (.f64 -9 t) z)) a)
(/.f64 (fma.f64 -9 (.f64 t z) (.f64 y x)) a)
(/.f64 (+.f64 (.f64 y x) (.f64 -9 (*.f64 t z))) a)
(/.f64 (fma.f64 y x (.f64 (.f64 -9 t) z)) a)
(/.f64 (fma.f64 -9 (.f64 t z) (.f64 y x)) a)
(/.f64 (+.f64 (.f64 y x) (.f64 -9 (*.f64 t z))) a)
(/.f64 (fma.f64 y x (.f64 (.f64 -9 t) z)) a)
(/.f64 (fma.f64 -9 (.f64 t z) (.f64 y x)) a)
(/.f64 (+.f64 (.f64 y x) (.f64 -9 (*.f64 t z))) a)
(/.f64 (fma.f64 y x (.f64 (.f64 -9 t) z)) a)
(/.f64 (fma.f64 -9 (.f64 t z) (.f64 y x)) a)
(/.f64 (+.f64 (.f64 y x) (.f64 -9 (*.f64 t z))) a)
(/.f64 (fma.f64 y x (.f64 (.f64 -9 t) z)) a)
(/.f64 (fma.f64 -9 (.f64 t z) (.f64 y x)) a)
(/.f64 (+.f64 (.f64 y x) (.f64 -9 (*.f64 t z))) a)
(/.f64 (fma.f64 y x (.f64 (.f64 -9 t) z)) a)
(/.f64 (fma.f64 -9 (.f64 t z) (.f64 y x)) a)
(/.f64 (+.f64 (.f64 y x) (.f64 -9 (*.f64 t z))) a)
(/.f64 (fma.f64 y x (.f64 (.f64 -9 t) z)) a)
(/.f64 (fma.f64 -9 (.f64 t z) (.f64 y x)) a)
(.f64 -9 (.f64 t z))
(.f64 (.f64 -9 t) z)
(.f64 t (.f64 z -9))
(.f64 t (.f64 -9 z))
(.f64 -9 (.f64 t z))
(.f64 (.f64 -9 t) z)
(.f64 t (.f64 z -9))
(.f64 t (.f64 -9 z))
(.f64 -9 (.f64 t z))
(.f64 (.f64 -9 t) z)
(.f64 t (.f64 z -9))
(.f64 t (.f64 -9 z))
(.f64 -9 (.f64 t z))
(.f64 (.f64 -9 t) z)
(.f64 t (.f64 z -9))
(.f64 t (.f64 -9 z))
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(.f64 (.f64 -9 t) z)
(.f64 t (.f64 z -9))
(.f64 t (.f64 -9 z))
(.f64 -9 (.f64 t z))
(.f64 (.f64 -9 t) z)
(.f64 t (.f64 z -9))
(.f64 t (.f64 -9 z))
(.f64 -9 (.f64 t z))
(.f64 (.f64 -9 t) z)
(.f64 t (.f64 z -9))
(.f64 t (.f64 -9 z))
(.f64 -9 (.f64 t z))
(.f64 (.f64 -9 t) z)
(.f64 t (.f64 z -9))
(.f64 t (.f64 -9 z))
(.f64 -9 (.f64 t z))
(.f64 (.f64 -9 t) z)
(.f64 t (.f64 z -9))
(.f64 t (.f64 -9 z))
(.f64 -9 (.f64 t z))
(.f64 (.f64 -9 t) z)
(.f64 t (.f64 z -9))
(.f64 t (.f64 -9 z))
(.f64 -9 (.f64 t z))
(.f64 (.f64 -9 t) z)
(.f64 t (.f64 z -9))
(.f64 t (.f64 -9 z))
(.f64 -9 (.f64 t z))
(.f64 (.f64 -9 t) z)
(.f64 t (.f64 z -9))
(.f64 t (.f64 -9 z))
(.f64 -9 (.f64 t z))
(.f64 (.f64 -9 t) z)
(.f64 t (.f64 z -9))
(.f64 t (.f64 -9 z))
(.f64 -9 (.f64 t z))
(.f64 (.f64 -9 t) z)
(.f64 t (.f64 z -9))
(.f64 t (.f64 -9 z))
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(.f64 (.f64 -9 t) z)
(.f64 t (.f64 z -9))
(.f64 t (.f64 -9 z))
(.f64 -9 (.f64 t z))
(.f64 (.f64 -9 t) z)
(.f64 t (.f64 z -9))
(.f64 t (.f64 -9 z))
(.f64 -9 (.f64 t z))
(.f64 (.f64 -9 t) z)
(.f64 t (.f64 z -9))
(.f64 t (.f64 -9 z))
(.f64 -9 (.f64 t z))
(.f64 (.f64 -9 t) z)
(.f64 t (.f64 z -9))
(.f64 t (.f64 -9 z))
(.f64 -9 (.f64 t z))
(.f64 (.f64 -9 t) z)
(.f64 t (.f64 z -9))
(.f64 t (.f64 -9 z))
(.f64 -9 (.f64 t z))
(.f64 (.f64 -9 t) z)
(.f64 t (.f64 z -9))
(.f64 t (.f64 -9 z))
(.f64 -9 (.f64 t z))
(.f64 (.f64 -9 t) z)
(.f64 t (.f64 z -9))
(.f64 t (.f64 -9 z))
(.f64 -9 (.f64 t z))
(.f64 (.f64 -9 t) z)
(.f64 t (.f64 z -9))
(.f64 t (.f64 -9 z))
(.f64 -9 (.f64 t z))
(.f64 (.f64 -9 t) z)
(.f64 t (.f64 z -9))
(.f64 t (.f64 -9 z))
(.f64 -9 (.f64 t z))
(.f64 (.f64 -9 t) z)
(.f64 t (.f64 z -9))
(.f64 t (.f64 -9 z))
(.f64 -9 (.f64 t z))
(.f64 (.f64 -9 t) z)
(.f64 t (.f64 z -9))
(.f64 t (.f64 -9 z))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(fma.f64 y x (.f64 (.f64 -9 t) z))
(fma.f64 -9 (.f64 t z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(fma.f64 y x (.f64 (.f64 -9 t) z))
(fma.f64 -9 (.f64 t z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(fma.f64 y x (.f64 (.f64 -9 t) z))
(fma.f64 -9 (.f64 t z) (.f64 y x))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(fma.f64 y x (.f64 (.f64 -9 t) z))
(fma.f64 -9 (.f64 t z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(fma.f64 y x (.f64 (.f64 -9 t) z))
(fma.f64 -9 (.f64 t z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(fma.f64 y x (.f64 (.f64 -9 t) z))
(fma.f64 -9 (.f64 t z) (.f64 y x))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(fma.f64 y x (.f64 (.f64 -9 t) z))
(fma.f64 -9 (.f64 t z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(fma.f64 y x (.f64 (.f64 -9 t) z))
(fma.f64 -9 (.f64 t z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(fma.f64 y x (.f64 (.f64 -9 t) z))
(fma.f64 -9 (.f64 t z) (.f64 y x))
(.f64 -9 (.f64 t z))
(.f64 (.f64 -9 t) z)
(.f64 t (.f64 z -9))
(.f64 t (.f64 -9 z))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(fma.f64 y x (.f64 (.f64 -9 t) z))
(fma.f64 -9 (.f64 t z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(fma.f64 y x (.f64 (.f64 -9 t) z))
(fma.f64 -9 (.f64 t z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(fma.f64 y x (.f64 (.f64 -9 t) z))
(fma.f64 -9 (.f64 t z) (.f64 y x))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(fma.f64 y x (.f64 (.f64 -9 t) z))
(fma.f64 -9 (.f64 t z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(fma.f64 y x (.f64 (.f64 -9 t) z))
(fma.f64 -9 (.f64 t z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(fma.f64 y x (.f64 (.f64 -9 t) z))
(fma.f64 -9 (.f64 t z) (.f64 y x))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(fma.f64 y x (.f64 (.f64 -9 t) z))
(fma.f64 -9 (.f64 t z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(fma.f64 y x (.f64 (.f64 -9 t) z))
(fma.f64 -9 (.f64 t z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(fma.f64 y x (.f64 (.f64 -9 t) z))
(fma.f64 -9 (.f64 t z) (.f64 y x))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(fma.f64 y x (.f64 (.f64 -9 t) z))
(fma.f64 -9 (.f64 t z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(fma.f64 y x (.f64 (.f64 -9 t) z))
(fma.f64 -9 (.f64 t z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(fma.f64 y x (.f64 (.f64 -9 t) z))
(fma.f64 -9 (.f64 t z) (.f64 y x))
(.f64 -9 (.f64 t z))
(.f64 (.f64 -9 t) z)
(.f64 t (.f64 z -9))
(.f64 t (.f64 -9 z))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(fma.f64 y x (.f64 (.f64 -9 t) z))
(fma.f64 -9 (.f64 t z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(fma.f64 y x (.f64 (.f64 -9 t) z))
(fma.f64 -9 (.f64 t z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(fma.f64 y x (.f64 (.f64 -9 t) z))
(fma.f64 -9 (.f64 t z) (.f64 y x))
(.f64 -9 (.f64 t z))
(.f64 (.f64 -9 t) z)
(.f64 t (.f64 z -9))
(.f64 t (.f64 -9 z))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(fma.f64 y x (.f64 (.f64 -9 t) z))
(fma.f64 -9 (.f64 t z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(fma.f64 y x (.f64 (.f64 -9 t) z))
(fma.f64 -9 (.f64 t z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(fma.f64 y x (.f64 (.f64 -9 t) z))
(fma.f64 -9 (.f64 t z) (.f64 y x))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(fma.f64 y x (.f64 (.f64 -9 t) z))
(fma.f64 -9 (.f64 t z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(fma.f64 y x (.f64 (.f64 -9 t) z))
(fma.f64 -9 (.f64 t z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(fma.f64 y x (.f64 (.f64 -9 t) z))
(fma.f64 -9 (.f64 t z) (.f64 y x))
(.f64 -9 (.f64 t z))
(.f64 (.f64 -9 t) z)
(.f64 t (.f64 z -9))
(.f64 t (.f64 -9 z))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(fma.f64 y x (.f64 (.f64 -9 t) z))
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(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(fma.f64 y x (.f64 (.f64 -9 t) z))
(fma.f64 -9 (.f64 t z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(fma.f64 y x (.f64 (.f64 -9 t) z))
(fma.f64 -9 (.f64 t z) (.f64 y x))
(.f64 -9 (.f64 t z))
(.f64 (.f64 -9 t) z)
(.f64 t (.f64 z -9))
(.f64 t (.f64 -9 z))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(fma.f64 y x (.f64 (.f64 -9 t) z))
(fma.f64 -9 (.f64 t z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(fma.f64 y x (.f64 (.f64 -9 t) z))
(fma.f64 -9 (.f64 t z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(fma.f64 y x (.f64 (.f64 -9 t) z))
(fma.f64 -9 (.f64 t z) (.f64 y x))

localize50.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 z 9) t)
✓	0.4b	(-.f64 (.f64 x y) (.f64 (*.f64 z 9) t))
✓	6.6b	(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) (.f64 a 2))

Compiler

Compiled 48 to 26 computations (45.8% saved)

series16.0ms (0.1%)

Counts

3 → 132

Calls

33 calls:

Time	Variable		Point	Expression
1.0ms	a	@	0	(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) (.f64 a 2))
1.0ms	x	@	0	(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) (.f64 a 2))
1.0ms	a	@	inf	(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) (.f64 a 2))
1.0ms	y	@	0	(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) (.f64 a 2))
1.0ms	t	@	0	(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) (.f64 a 2))

rewrite122.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

890×	`log-prod_binary64`
475×	`fma-def_binary64`
282×	`expm1-udef_binary64`
282×	`log1p-udef_binary64`
255×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	39
1	313	35
2	4405	35

Stop Event

1×	node limit

Counts

3 → 274

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) (.f64 a 2))
(-.f64 (.f64 x y) (.f64 (*.f64 z 9) t))
(.f64 (.f64 z 9) t)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x y) (/.f64 1/2 a)) (neg.f64 (.f64 (.f64 9 (.f64 z t)) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (fma.f64 x y (.f64 t (.f64 z -9))) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x y (.f64 t (.f64 z -9))) a)))) (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x y (.f64 t (.f64 z -9))) a)))))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x y (.f64 t (.f64 z -9))) a))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x y (.f64 t (.f64 z -9))) a))))) (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x y (.f64 t (.f64 z -9))) a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (.f64 x y) (/.f64 1/2 a)) (.f64 (.f64 9 (.f64 z t)) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 x y (.f64 t (.f64 z -9))) (/.f64 1/2 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x y (.f64 t (.f64 z -9))) (/.f64 1/2 a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (fma.f64 x y (.f64 t (.f64 z -9))) (/.f64 1/2 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (fma.f64 x y (.f64 t (.f64 z -9))) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (fma.f64 x y (.f64 t (.f64 z -9))) (/.f64 1/2 a))) (pow.f64 (cbrt.f64 (.f64 (fma.f64 x y (.f64 t (.f64 z -9))) (/.f64 1/2 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 x y (.f64 t (.f64 z -9))) (/.f64 1/2 a))) 2) (cbrt.f64 (.f64 (fma.f64 x y (.f64 t (.f64 z -9))) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (fma.f64 x y (.f64 t (.f64 z -9))) 2)) (.f64 (cbrt.f64 (fma.f64 x y (.f64 t (.f64 z -9)))) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (fma.f64 x y (.f64 t (.f64 z -9))) 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Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 9 (*.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 t) (*.f64 z 9))) (cbrt.f64 (pow.f64 (exp.f64 t) (*.f64 z 9))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 t) (*.f64 z 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 t) (*.f64 z 9)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 t) (*.f64 z 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 9 (*.f64 z t)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 9 (*.f64 z t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 9 (*.f64 z t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 9 (*.f64 z t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 9 (*.f64 z t)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 9 (*.f64 z t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 t) (*.f64 z 9)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 9 (*.f64 z t)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 9 (*.f64 z t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 9 (*.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 9 (*.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 9 (*.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 9 (*.f64 z t))) 1))))))

simplify282.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1606×	`fma-def_binary64`
595×	`fma-neg_binary64`
466×	`associate-/l*_binary64`
377×	`div-sub_binary64`
345×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	23	1710
1	54	1710
2	137	1710
3	335	1566
4	802	1566
5	1778	1566
6	3553	1566
7	4450	1566
8	5572	1566
9	6169	1566
10	6755	1566
11	6990	1566
12	7909	1566
13	7916	1566

Stop Event

1×	node limit

Counts

406 → 288

Calls

Call 1

Inputs
(.f64 -9/2 (/.f64 (.f64 t z) a))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(.f64 1/2 (/.f64 (.f64 y x) a))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(.f64 1/2 (/.f64 (.f64 y x) a))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(.f64 1/2 (/.f64 (.f64 y x) a))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(.f64 1/2 (/.f64 (.f64 y x) a))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(.f64 1/2 (/.f64 (.f64 y x) a))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(.f64 1/2 (/.f64 (.f64 y x) a))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(.f64 1/2 (/.f64 (-.f64 (.f64 y x) (.f64 9 (.f64 t z))) a))
(.f64 1/2 (/.f64 (-.f64 (.f64 y x) (.f64 9 (.f64 t z))) a))
(.f64 1/2 (/.f64 (-.f64 (.f64 y x) (.f64 9 (.f64 t z))) a))
(.f64 1/2 (/.f64 (-.f64 (.f64 y x) (.f64 9 (.f64 t z))) a))
(.f64 1/2 (/.f64 (-.f64 (.f64 y x) (.f64 9 (.f64 t z))) a))
(.f64 1/2 (/.f64 (-.f64 (.f64 y x) (.f64 9 (.f64 t z))) a))
(.f64 1/2 (/.f64 (-.f64 (.f64 y x) (.f64 9 (.f64 t z))) a))
(.f64 1/2 (/.f64 (-.f64 (.f64 y x) (.f64 9 (.f64 t z))) a))
(.f64 1/2 (/.f64 (-.f64 (.f64 y x) (.f64 9 (.f64 t z))) a))
(.f64 1/2 (/.f64 (-.f64 (.f64 y x) (.f64 9 (.f64 t z))) a))
(.f64 1/2 (/.f64 (-.f64 (.f64 y x) (.f64 9 (.f64 t z))) a))
(.f64 1/2 (/.f64 (-.f64 (.f64 y x) (.f64 9 (.f64 t z))) a))
(.f64 -9 (.f64 t z))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(.f64 -9 (.f64 t z))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(.f64 -9 (.f64 t z))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(.f64 -9 (.f64 t z))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(.f64 -9 (.f64 t z))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(.f64 -9 (.f64 t z))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(.f64 9 (.f64 t z))
(.f64 9 (.f64 t z))
(.f64 9 (.f64 t z))
(.f64 9 (.f64 t z))
(.f64 9 (.f64 t z))
(.f64 9 (.f64 t z))
(.f64 9 (.f64 t z))
(.f64 9 (.f64 t z))
(.f64 9 (.f64 t z))
(.f64 9 (.f64 t z))
(.f64 9 (.f64 t z))
(.f64 9 (.f64 t z))
(.f64 9 (.f64 t z))
(.f64 9 (.f64 t z))
(.f64 9 (.f64 t z))
(.f64 9 (.f64 t z))
(.f64 9 (.f64 t z))
(.f64 9 (.f64 t z))
(.f64 9 (.f64 t z))
(.f64 9 (.f64 t z))
(.f64 9 (.f64 t z))
(.f64 9 (.f64 t z))
(.f64 9 (.f64 t z))
(.f64 9 (.f64 t z))

Outputs
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(.f64 -9/2 (.f64 (/.f64 z a) t))
(/.f64 t (/.f64 a (*.f64 -9/2 z)))
(*.f64 t (/.f64 -9/2 (/.f64 a z)))
(*.f64 t (/.f64 z (/.f64 a -9/2)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(fma.f64 -9/2 (/.f64 t (/.f64 a z)) (*.f64 1/2 (/.f64 y (/.f64 a x))))
(fma.f64 -9/2 (/.f64 (.f64 t z) a) (.f64 1/2 (/.f64 (*.f64 y x) a)))
(fma.f64 -9/2 (.f64 (/.f64 z a) t) (.f64 1/2 (/.f64 (*.f64 y x) a)))
(.f64 (fma.f64 t (.f64 z -9) (*.f64 y x)) (/.f64 1/2 a))
(.f64 1/2 (/.f64 (fma.f64 t (.f64 z -9) (*.f64 y x)) a))
(/.f64 (fma.f64 1/2 (.f64 y x) (.f64 t (*.f64 -9/2 z))) a)
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(fma.f64 -9/2 (/.f64 t (/.f64 a z)) (*.f64 1/2 (/.f64 y (/.f64 a x))))
(fma.f64 -9/2 (/.f64 (.f64 t z) a) (.f64 1/2 (/.f64 (*.f64 y x) a)))
(fma.f64 -9/2 (.f64 (/.f64 z a) t) (.f64 1/2 (/.f64 (*.f64 y x) a)))
(.f64 (fma.f64 t (.f64 z -9) (*.f64 y x)) (/.f64 1/2 a))
(.f64 1/2 (/.f64 (fma.f64 t (.f64 z -9) (*.f64 y x)) a))
(/.f64 (fma.f64 1/2 (.f64 y x) (.f64 t (*.f64 -9/2 z))) a)
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(fma.f64 -9/2 (/.f64 t (/.f64 a z)) (*.f64 1/2 (/.f64 y (/.f64 a x))))
(fma.f64 -9/2 (/.f64 (.f64 t z) a) (.f64 1/2 (/.f64 (*.f64 y x) a)))
(fma.f64 -9/2 (.f64 (/.f64 z a) t) (.f64 1/2 (/.f64 (*.f64 y x) a)))
(.f64 (fma.f64 t (.f64 z -9) (*.f64 y x)) (/.f64 1/2 a))
(.f64 1/2 (/.f64 (fma.f64 t (.f64 z -9) (*.f64 y x)) a))
(/.f64 (fma.f64 1/2 (.f64 y x) (.f64 t (*.f64 -9/2 z))) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(.f64 x (.f64 1/2 (/.f64 y a)))
(.f64 1/2 (.f64 x (/.f64 y a)))
(*.f64 y (/.f64 x (/.f64 a 1/2)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(fma.f64 -9/2 (/.f64 t (/.f64 a z)) (*.f64 1/2 (/.f64 y (/.f64 a x))))
(fma.f64 -9/2 (/.f64 (.f64 t z) a) (.f64 1/2 (/.f64 (*.f64 y x) a)))
(fma.f64 -9/2 (.f64 (/.f64 z a) t) (.f64 1/2 (/.f64 (*.f64 y x) a)))
(.f64 (fma.f64 t (.f64 z -9) (*.f64 y x)) (/.f64 1/2 a))
(.f64 1/2 (/.f64 (fma.f64 t (.f64 z -9) (*.f64 y x)) a))
(/.f64 (fma.f64 1/2 (.f64 y x) (.f64 t (*.f64 -9/2 z))) a)
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(fma.f64 -9/2 (/.f64 t (/.f64 a z)) (*.f64 1/2 (/.f64 y (/.f64 a x))))
(fma.f64 -9/2 (/.f64 (.f64 t z) a) (.f64 1/2 (/.f64 (*.f64 y x) a)))
(fma.f64 -9/2 (.f64 (/.f64 z a) t) (.f64 1/2 (/.f64 (*.f64 y x) a)))
(.f64 (fma.f64 t (.f64 z -9) (*.f64 y x)) (/.f64 1/2 a))
(.f64 1/2 (/.f64 (fma.f64 t (.f64 z -9) (*.f64 y x)) a))
(/.f64 (fma.f64 1/2 (.f64 y x) (.f64 t (*.f64 -9/2 z))) a)
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(fma.f64 -9/2 (/.f64 t (/.f64 a z)) (*.f64 1/2 (/.f64 y (/.f64 a x))))
(fma.f64 -9/2 (/.f64 (.f64 t z) a) (.f64 1/2 (/.f64 (*.f64 y x) a)))
(fma.f64 -9/2 (.f64 (/.f64 z a) t) (.f64 1/2 (/.f64 (*.f64 y x) a)))
(.f64 (fma.f64 t (.f64 z -9) (*.f64 y x)) (/.f64 1/2 a))
(.f64 1/2 (/.f64 (fma.f64 t (.f64 z -9) (*.f64 y x)) a))
(/.f64 (fma.f64 1/2 (.f64 y x) (.f64 t (*.f64 -9/2 z))) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(.f64 x (.f64 1/2 (/.f64 y a)))
(.f64 1/2 (.f64 x (/.f64 y a)))
(*.f64 y (/.f64 x (/.f64 a 1/2)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(fma.f64 -9/2 (/.f64 t (/.f64 a z)) (*.f64 1/2 (/.f64 y (/.f64 a x))))
(fma.f64 -9/2 (/.f64 (.f64 t z) a) (.f64 1/2 (/.f64 (*.f64 y x) a)))
(fma.f64 -9/2 (.f64 (/.f64 z a) t) (.f64 1/2 (/.f64 (*.f64 y x) a)))
(.f64 (fma.f64 t (.f64 z -9) (*.f64 y x)) (/.f64 1/2 a))
(.f64 1/2 (/.f64 (fma.f64 t (.f64 z -9) (*.f64 y x)) a))
(/.f64 (fma.f64 1/2 (.f64 y x) (.f64 t (*.f64 -9/2 z))) a)
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(fma.f64 -9/2 (/.f64 t (/.f64 a z)) (*.f64 1/2 (/.f64 y (/.f64 a x))))
(fma.f64 -9/2 (/.f64 (.f64 t z) a) (.f64 1/2 (/.f64 (*.f64 y x) a)))
(fma.f64 -9/2 (.f64 (/.f64 z a) t) (.f64 1/2 (/.f64 (*.f64 y x) a)))
(.f64 (fma.f64 t (.f64 z -9) (*.f64 y x)) (/.f64 1/2 a))
(.f64 1/2 (/.f64 (fma.f64 t (.f64 z -9) (*.f64 y x)) a))
(/.f64 (fma.f64 1/2 (.f64 y x) (.f64 t (*.f64 -9/2 z))) a)
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(fma.f64 -9/2 (/.f64 t (/.f64 a z)) (*.f64 1/2 (/.f64 y (/.f64 a x))))
(fma.f64 -9/2 (/.f64 (.f64 t z) a) (.f64 1/2 (/.f64 (*.f64 y x) a)))
(fma.f64 -9/2 (.f64 (/.f64 z a) t) (.f64 1/2 (/.f64 (*.f64 y x) a)))
(.f64 (fma.f64 t (.f64 z -9) (*.f64 y x)) (/.f64 1/2 a))
(.f64 1/2 (/.f64 (fma.f64 t (.f64 z -9) (*.f64 y x)) a))
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(.f64 (.f64 9 z) t)
(.f64 t (.f64 z 9))
(.f64 z (.f64 t 9))
(.f64 9 (.f64 t z))
(.f64 (.f64 9 t) z)
(.f64 (.f64 9 z) t)
(.f64 t (.f64 z 9))
(.f64 z (.f64 t 9))
(.f64 9 (.f64 t z))
(.f64 (.f64 9 t) z)
(.f64 (.f64 9 z) t)
(.f64 t (.f64 z 9))
(.f64 z (.f64 t 9))
(.f64 9 (.f64 t z))
(.f64 (.f64 9 t) z)
(.f64 (.f64 9 z) t)
(.f64 t (.f64 z 9))
(.f64 z (.f64 t 9))
(.f64 9 (.f64 t z))
(.f64 (.f64 9 t) z)
(.f64 (.f64 9 z) t)
(.f64 t (.f64 z 9))
(.f64 z (.f64 t 9))
(.f64 9 (.f64 t z))
(.f64 (.f64 9 t) z)
(.f64 (.f64 9 z) t)
(.f64 t (.f64 z 9))
(.f64 z (.f64 t 9))
(.f64 9 (.f64 t z))
(.f64 (.f64 9 t) z)
(.f64 (.f64 9 z) t)
(.f64 t (.f64 z 9))
(.f64 z (.f64 t 9))
(.f64 9 (.f64 t z))
(.f64 (.f64 9 t) z)
(.f64 (.f64 9 z) t)
(.f64 t (.f64 z 9))
(.f64 z (.f64 t 9))
(.f64 9 (.f64 t z))
(.f64 (.f64 9 t) z)
(.f64 (.f64 9 z) t)
(.f64 t (.f64 z 9))
(.f64 z (.f64 t 9))
(.f64 9 (.f64 t z))
(.f64 (.f64 9 t) z)
(.f64 (.f64 9 z) t)
(.f64 t (.f64 z 9))
(.f64 z (.f64 t 9))
(.f64 9 (.f64 t z))
(.f64 (.f64 9 t) z)
(.f64 (.f64 9 z) t)
(.f64 t (.f64 z 9))
(.f64 z (.f64 t 9))
(.f64 9 (.f64 t z))
(.f64 (.f64 9 t) z)
(.f64 (.f64 9 z) t)
(.f64 t (.f64 z 9))
(.f64 z (.f64 t 9))

eval219.0ms (1.3%)

Compiler: Compiled 9069 to 5156 computations (43.1% saved)

prune142.0ms (0.8%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	393	15	408
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	394	16	410

Error

0.0b

Counts

410 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	7.0b	(/.f64 (fma.f64 (.f64 z -9) t (.f64 x y)) (*.f64 a 2))
	32.5b	(fma.f64 (/.f64 (sqrt.f64 (.f64 x y)) a) (/.f64 (sqrt.f64 (.f64 x y)) 2) (neg.f64 (.f64 (.f64 9 (*.f64 z t)) (/.f64 1/2 a))))
	36.2b	(.f64 1/2 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 z (.f64 t -9) (*.f64 x y)) a) 3)))
	7.9b	(.f64 1/2 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (.f64 t -9) (*.f64 x y)) a)) 3))
▶	7.0b	(/.f64 (-.f64 (.f64 x y) (.f64 z (.f64 t 9))) (.f64 a 2))
	34.9b	(/.f64 (.f64 -9 (.f64 t z)) (*.f64 a 2))
	33.8b	(*.f64 t (/.f64 z (/.f64 a -9/2)))
	7.0b	(-.f64 (.f64 (.f64 x y) (/.f64 1/2 a)) (.f64 (.f64 9 (*.f64 z t)) (/.f64 1/2 a)))
	35.3b	(.f64 1/2 (.f64 (/.f64 t a) (*.f64 -9 z)))
	31.4b	(*.f64 y (/.f64 x (/.f64 a 1/2)))
✓	7.0b	(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) (.f64 a 2))
▶	8.2b	(fma.f64 (/.f64 y a) (/.f64 x 2) (neg.f64 (.f64 (.f64 9 (*.f64 z t)) (/.f64 1/2 a))))
	7.3b	(pow.f64 (.f64 2 (/.f64 a (fma.f64 x y (.f64 t (*.f64 z -9))))) -1)
▶	34.9b	(/.f64 (.f64 z (.f64 t -9)) (*.f64 a 2))
▶	34.9b	(.f64 -9/2 (/.f64 (.f64 t z) a))
▶	31.2b	(/.f64 (.f64 y x) (.f64 a 2))

Compiler

Compiled 530 to 389 computations (26.6% saved)

localize22.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 z (.f64 t 9))
✓	0.4b	(-.f64 (.f64 x y) (.f64 z (*.f64 t 9)))
✓	6.6b	(/.f64 (-.f64 (.f64 x y) (.f64 z (.f64 t 9))) (.f64 a 2))

Compiler

Compiled 48 to 26 computations (45.8% saved)

series9.0ms (0.1%)

Counts

3 → 132

Calls

33 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/.f64 (-.f64 (.f64 x y) (.f64 z (.f64 t 9))) (.f64 a 2))
0.0ms	x	@	-inf	(/.f64 (-.f64 (.f64 x y) (.f64 z (.f64 t 9))) (.f64 a 2))
0.0ms	z	@	inf	(/.f64 (-.f64 (.f64 x y) (.f64 z (.f64 t 9))) (.f64 a 2))
0.0ms	x	@	inf	(/.f64 (-.f64 (.f64 x y) (.f64 z (.f64 t 9))) (.f64 a 2))
0.0ms	y	@	inf	(/.f64 (-.f64 (.f64 x y) (.f64 z (.f64 t 9))) (.f64 a 2))

rewrite150.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

892×	`log-prod_binary64`
479×	`fma-def_binary64`
282×	`expm1-udef_binary64`
282×	`log1p-udef_binary64`
253×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	39
1	313	35
2	4418	35

Stop Event

1×	node limit

Counts

3 → 276

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 x y) (.f64 z (.f64 t 9))) (.f64 a 2))
(-.f64 (.f64 x y) (.f64 z (*.f64 t 9)))
(.f64 z (.f64 t 9))

Outputs

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z t)) 3)) (-.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (sqrt.f64 (*.f64 z t)) 3)) (fma.f64 z (*.f64 t -9) (*.f64 z (*.f64 t 9))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (sqrt.f64 (*.f64 z t)) 3)) (-.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (sqrt.f64 (*.f64 z t)) 3)) (fma.f64 (*.f64 (*.f64 z t) -9) 1 (*.f64 z (*.f64 t 9))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (sqrt.f64 (*.f64 z t)) 3)) (-.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (sqrt.f64 (*.f64 z t)) 3)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (*.f64 t 9)))) (pow.f64 (cbrt.f64 (*.f64 z (*.f64 t 9))) 2) (*.f64 z (*.f64 t 9))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (sqrt.f64 (*.f64 z t)) 3)) (-.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (sqrt.f64 (*.f64 z t)) 3)) (fma.f64 -9 (*.f64 z t) (*.f64 z (*.f64 t 9))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (sqrt.f64 (*.f64 z t)) 3)) (-.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (sqrt.f64 (*.f64 z t)) 3)) (*.f64 (fma.f64 z (*.f64 t -9) (*.f64 z (*.f64 t 9))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (sqrt.f64 (*.f64 z t)) 3)) (-.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (sqrt.f64 (*.f64 z t)) 3)) (+.f64 (fma.f64 z (*.f64 t -9) (*.f64 z (*.f64 t 9))) (fma.f64 z (*.f64 t -9) (*.f64 z (*.f64 t 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 z (*.f64 t 9))) 2)) (cbrt.f64 (*.f64 z (*.f64 t 9))) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (*.f64 z t)) 9 (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 z) t) 9 (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 z) 9) t (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 z) 1) (*.f64 t 9) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 z) (cbrt.f64 (*.f64 (*.f64 t t) 81))) (cbrt.f64 (*.f64 t 9)) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 z) (*.f64 (sqrt.f64 t) 3)) (*.f64 (sqrt.f64 t) 3) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 (*.f64 z t) -9))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 (*.f64 (*.f64 z t) -9) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (fma.f64 z (*.f64 t -9) (fma.f64 z (*.f64 t -9) (*.f64 z (*.f64 t 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (neg.f64 (-.f64 (*.f64 z (*.f64 t 9)) (fma.f64 z (*.f64 t -9) (*.f64 z (*.f64 t 9))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (*.f64 z t) -9))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (*.f64 (*.f64 z t) -9) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (fma.f64 z (*.f64 t -9) (fma.f64 z (*.f64 t -9) (*.f64 z (*.f64 t 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (neg.f64 (-.f64 (*.f64 z (*.f64 t 9)) (fma.f64 z (*.f64 t -9) (*.f64 z (*.f64 t 9))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (*.f64 z t) -9))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (*.f64 (*.f64 z t) -9) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (fma.f64 z (*.f64 t -9) (fma.f64 z (*.f64 t -9) (*.f64 z (*.f64 t 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 (-.f64 (*.f64 z (*.f64 t 9)) (fma.f64 z (*.f64 t -9) (*.f64 z (*.f64 t 9))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (*.f64 z t) -9))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (*.f64 (*.f64 z t) -9) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 z (*.f64 t -9) (fma.f64 z (*.f64 t -9) (*.f64 z (*.f64 t 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (-.f64 (*.f64 z (*.f64 t 9)) (fma.f64 z (*.f64 t -9) (*.f64 z (*.f64 t 9))))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 z (*.f64 t 9)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 t) 9) z)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 t) 9) z)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 t) 9) z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 t) 9) z))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 t) 9) z))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (*.f64 t 9)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (*.f64 t 9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (*.f64 t 9))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (*.f64 z t)) 3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 z t) 3) 729) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (*.f64 t 9)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 t) 9) z))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 z (*.f64 t 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 z t) 3) 729))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (*.f64 t 9))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (*.f64 t 9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (*.f64 t 9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 z (*.f64 t 9))) 1))))))

simplify469.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1606×	`fma-def_binary64`
595×	`fma-neg_binary64`
466×	`associate-/l*_binary64`
377×	`div-sub_binary64`
345×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	23	1710
1	54	1710
2	137	1710
3	335	1566
4	802	1566
5	1778	1566
6	3553	1566
7	4450	1566
8	5572	1566
9	6169	1566
10	6755	1566
11	6990	1566
12	7909	1566
13	7916	1566

Stop Event

1×	node limit

Counts

408 → 290

Calls

Call 1

Inputs
(.f64 -9/2 (/.f64 (.f64 t z) a))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(.f64 1/2 (/.f64 (.f64 y x) a))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(.f64 1/2 (/.f64 (.f64 y x) a))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(.f64 1/2 (/.f64 (.f64 y x) a))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(.f64 1/2 (/.f64 (.f64 y x) a))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(.f64 1/2 (/.f64 (.f64 y x) a))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(.f64 1/2 (/.f64 (.f64 y x) a))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(.f64 1/2 (/.f64 (-.f64 (.f64 y x) (.f64 9 (.f64 t z))) a))
(.f64 1/2 (/.f64 (-.f64 (.f64 y x) (.f64 9 (.f64 t z))) a))
(.f64 1/2 (/.f64 (-.f64 (.f64 y x) (.f64 9 (.f64 t z))) a))
(.f64 1/2 (/.f64 (-.f64 (.f64 y x) (.f64 9 (.f64 t z))) a))
(.f64 1/2 (/.f64 (-.f64 (.f64 y x) (.f64 9 (.f64 t z))) a))
(.f64 1/2 (/.f64 (-.f64 (.f64 y x) (.f64 9 (.f64 t z))) a))
(.f64 1/2 (/.f64 (-.f64 (.f64 y x) (.f64 9 (.f64 t z))) a))
(.f64 1/2 (/.f64 (-.f64 (.f64 y x) (.f64 9 (.f64 t z))) a))
(.f64 1/2 (/.f64 (-.f64 (.f64 y x) (.f64 9 (.f64 t z))) a))
(.f64 1/2 (/.f64 (-.f64 (.f64 y x) (.f64 9 (.f64 t z))) a))
(.f64 1/2 (/.f64 (-.f64 (.f64 y x) (.f64 9 (.f64 t z))) a))
(.f64 1/2 (/.f64 (-.f64 (.f64 y x) (.f64 9 (.f64 t z))) a))
(.f64 -9 (.f64 t z))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(.f64 -9 (.f64 t z))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(.f64 -9 (.f64 t z))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(.f64 -9 (.f64 t z))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(.f64 -9 (.f64 t z))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(.f64 -9 (.f64 t z))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(.f64 9 (.f64 t z))
(.f64 9 (.f64 t z))
(.f64 9 (.f64 t z))
(.f64 9 (.f64 t z))
(.f64 9 (.f64 t z))
(.f64 9 (.f64 t z))
(.f64 9 (.f64 t z))
(.f64 9 (.f64 t z))
(.f64 9 (.f64 t z))
(.f64 9 (.f64 t z))
(.f64 9 (.f64 t z))
(.f64 9 (.f64 t z))
(.f64 9 (.f64 t z))
(.f64 9 (.f64 t z))
(.f64 9 (.f64 t z))
(.f64 9 (.f64 t z))
(.f64 9 (.f64 t z))
(.f64 9 (.f64 t z))
(.f64 9 (.f64 t z))
(.f64 9 (.f64 t z))
(.f64 9 (.f64 t z))
(.f64 9 (.f64 t z))
(.f64 9 (.f64 t z))
(.f64 9 (.f64 t z))

Outputs
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(.f64 -9/2 (.f64 (/.f64 z a) t))
(/.f64 t (/.f64 a (*.f64 -9/2 z)))
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(fma.f64 (.f64 t z) -9 (.f64 y x))
(fma.f64 t (.f64 z -9) (.f64 y x))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(fma.f64 y x (.f64 (.f64 t z) -9))
(fma.f64 (.f64 t z) -9 (.f64 y x))
(fma.f64 t (.f64 z -9) (.f64 y x))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(fma.f64 y x (.f64 (.f64 t z) -9))
(fma.f64 (.f64 t z) -9 (.f64 y x))
(fma.f64 t (.f64 z -9) (.f64 y x))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(fma.f64 y x (.f64 (.f64 t z) -9))
(fma.f64 (.f64 t z) -9 (.f64 y x))
(fma.f64 t (.f64 z -9) (.f64 y x))
(.f64 -9 (.f64 t z))
(.f64 (.f64 t z) -9)
(.f64 t (.f64 z -9))
(.f64 z (.f64 t -9))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(fma.f64 y x (.f64 (.f64 t z) -9))
(fma.f64 (.f64 t z) -9 (.f64 y x))
(fma.f64 t (.f64 z -9) (.f64 y x))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(fma.f64 y x (.f64 (.f64 t z) -9))
(fma.f64 (.f64 t z) -9 (.f64 y x))
(fma.f64 t (.f64 z -9) (.f64 y x))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(fma.f64 y x (.f64 (.f64 t z) -9))
(fma.f64 (.f64 t z) -9 (.f64 y x))
(fma.f64 t (.f64 z -9) (.f64 y x))
(.f64 -9 (.f64 t z))
(.f64 (.f64 t z) -9)
(.f64 t (.f64 z -9))
(.f64 z (.f64 t -9))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(fma.f64 y x (.f64 (.f64 t z) -9))
(fma.f64 (.f64 t z) -9 (.f64 y x))
(fma.f64 t (.f64 z -9) (.f64 y x))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(fma.f64 y x (.f64 (.f64 t z) -9))
(fma.f64 (.f64 t z) -9 (.f64 y x))
(fma.f64 t (.f64 z -9) (.f64 y x))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(fma.f64 y x (.f64 (.f64 t z) -9))
(fma.f64 (.f64 t z) -9 (.f64 y x))
(fma.f64 t (.f64 z -9) (.f64 y x))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(fma.f64 y x (.f64 (.f64 t z) -9))
(fma.f64 (.f64 t z) -9 (.f64 y x))
(fma.f64 t (.f64 z -9) (.f64 y x))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(fma.f64 y x (.f64 (.f64 t z) -9))
(fma.f64 (.f64 t z) -9 (.f64 y x))
(fma.f64 t (.f64 z -9) (.f64 y x))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(fma.f64 y x (.f64 (.f64 t z) -9))
(fma.f64 (.f64 t z) -9 (.f64 y x))
(fma.f64 t (.f64 z -9) (.f64 y x))
(.f64 -9 (.f64 t z))
(.f64 (.f64 t z) -9)
(.f64 t (.f64 z -9))
(.f64 z (.f64 t -9))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(fma.f64 y x (.f64 (.f64 t z) -9))
(fma.f64 (.f64 t z) -9 (.f64 y x))
(fma.f64 t (.f64 z -9) (.f64 y x))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(fma.f64 y x (.f64 (.f64 t z) -9))
(fma.f64 (.f64 t z) -9 (.f64 y x))
(fma.f64 t (.f64 z -9) (.f64 y x))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(fma.f64 y x (.f64 (.f64 t z) -9))
(fma.f64 (.f64 t z) -9 (.f64 y x))
(fma.f64 t (.f64 z -9) (.f64 y x))
(.f64 -9 (.f64 t z))
(.f64 (.f64 t z) -9)
(.f64 t (.f64 z -9))
(.f64 z (.f64 t -9))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(fma.f64 y x (.f64 (.f64 t z) -9))
(fma.f64 (.f64 t z) -9 (.f64 y x))
(fma.f64 t (.f64 z -9) (.f64 y x))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(fma.f64 y x (.f64 (.f64 t z) -9))
(fma.f64 (.f64 t z) -9 (.f64 y x))
(fma.f64 t (.f64 z -9) (.f64 y x))
(+.f64 (.f64 y x) (.f64 -9 (*.f64 t z)))
(fma.f64 y x (.f64 (.f64 t z) -9))
(fma.f64 (.f64 t z) -9 (.f64 y x))
(fma.f64 t (.f64 z -9) (.f64 y x))
(.f64 9 (.f64 t z))
(.f64 (.f64 9 t) z)
(.f64 (.f64 9 z) t)
(.f64 t (.f64 z 9))
(.f64 z (.f64 t 9))
(.f64 9 (.f64 t z))
(.f64 (.f64 9 t) z)
(.f64 (.f64 9 z) t)
(.f64 t (.f64 z 9))
(.f64 z (.f64 t 9))
(.f64 9 (.f64 t z))
(.f64 (.f64 9 t) z)
(.f64 (.f64 9 z) t)
(.f64 t (.f64 z 9))
(.f64 z (.f64 t 9))
(.f64 9 (.f64 t z))
(.f64 (.f64 9 t) z)
(.f64 (.f64 9 z) t)
(.f64 t (.f64 z 9))
(.f64 z (.f64 t 9))
(.f64 9 (.f64 t z))
(.f64 (.f64 9 t) z)
(.f64 (.f64 9 z) t)
(.f64 t (.f64 z 9))
(.f64 z (.f64 t 9))
(.f64 9 (.f64 t z))
(.f64 (.f64 9 t) z)
(.f64 (.f64 9 z) t)
(.f64 t (.f64 z 9))
(.f64 z (.f64 t 9))
(.f64 9 (.f64 t z))
(.f64 (.f64 9 t) z)
(.f64 (.f64 9 z) t)
(.f64 t (.f64 z 9))
(.f64 z (.f64 t 9))
(.f64 9 (.f64 t z))
(.f64 (.f64 9 t) z)
(.f64 (.f64 9 z) t)
(.f64 t (.f64 z 9))
(.f64 z (.f64 t 9))
(.f64 9 (.f64 t z))
(.f64 (.f64 9 t) z)
(.f64 (.f64 9 z) t)
(.f64 t (.f64 z 9))
(.f64 z (.f64 t 9))
(.f64 9 (.f64 t z))
(.f64 (.f64 9 t) z)
(.f64 (.f64 9 z) t)
(.f64 t (.f64 z 9))
(.f64 z (.f64 t 9))
(.f64 9 (.f64 t z))
(.f64 (.f64 9 t) z)
(.f64 (.f64 9 z) t)
(.f64 t (.f64 z 9))
(.f64 z (.f64 t 9))
(.f64 9 (.f64 t z))
(.f64 (.f64 9 t) z)
(.f64 (.f64 9 z) t)
(.f64 t (.f64 z 9))
(.f64 z (.f64 t 9))
(.f64 9 (.f64 t z))
(.f64 (.f64 9 t) z)
(.f64 (.f64 9 z) t)
(.f64 t (.f64 z 9))
(.f64 z (.f64 t 9))
(.f64 9 (.f64 t z))
(.f64 (.f64 9 t) z)
(.f64 (.f64 9 z) t)
(.f64 t (.f64 z 9))
(.f64 z (.f64 t 9))
(.f64 9 (.f64 t z))
(.f64 (.f64 9 t) z)
(.f64 (.f64 9 z) t)
(.f64 t (.f64 z 9))
(.f64 z (.f64 t 9))
(.f64 9 (.f64 t z))
(.f64 (.f64 9 t) z)
(.f64 (.f64 9 z) t)
(.f64 t (.f64 z 9))
(.f64 z (.f64 t 9))
(.f64 9 (.f64 t z))
(.f64 (.f64 9 t) z)
(.f64 (.f64 9 z) t)
(.f64 t (.f64 z 9))
(.f64 z (.f64 t 9))
(.f64 9 (.f64 t z))
(.f64 (.f64 9 t) z)
(.f64 (.f64 9 z) t)
(.f64 t (.f64 z 9))
(.f64 z (.f64 t 9))
(.f64 9 (.f64 t z))
(.f64 (.f64 9 t) z)
(.f64 (.f64 9 z) t)
(.f64 t (.f64 z 9))
(.f64 z (.f64 t 9))
(.f64 9 (.f64 t z))
(.f64 (.f64 9 t) z)
(.f64 (.f64 9 z) t)
(.f64 t (.f64 z 9))
(.f64 z (.f64 t 9))
(.f64 9 (.f64 t z))
(.f64 (.f64 9 t) z)
(.f64 (.f64 9 z) t)
(.f64 t (.f64 z 9))
(.f64 z (.f64 t 9))
(.f64 9 (.f64 t z))
(.f64 (.f64 9 t) z)
(.f64 (.f64 9 z) t)
(.f64 t (.f64 z 9))
(.f64 z (.f64 t 9))
(.f64 9 (.f64 t z))
(.f64 (.f64 9 t) z)
(.f64 (.f64 9 z) t)
(.f64 t (.f64 z 9))
(.f64 z (.f64 t 9))
(.f64 9 (.f64 t z))
(.f64 (.f64 9 t) z)
(.f64 (.f64 9 z) t)
(.f64 t (.f64 z 9))
(.f64 z (.f64 t 9))

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 -9/2 (/.f64 (.f64 t z) a))
✓	5.4b	(/.f64 (*.f64 t z) a)

Compiler

Compiled 24 to 10 computations (58.3% saved)

series14.0ms (0.1%)

Counts

2 → 0

Calls

18 calls:

Time	Variable		Point	Expression
5.0ms	t	@	inf	(/.f64 (*.f64 t z) a)
1.0ms	t	@	0	(/.f64 (*.f64 t z) a)
1.0ms	t	@	-inf	(/.f64 (*.f64 t z) a)
1.0ms	a	@	inf	(/.f64 (*.f64 t z) a)
1.0ms	z	@	inf	(/.f64 (*.f64 t z) a)

rewrite70.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

908×	`pow1_binary64`
844×	`add-log-exp_binary64`
844×	`log1p-expm1-u_binary64`
844×	`expm1-log1p-u_binary64`
827×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	168	17
2	2223	17

Stop Event

1×	node limit

Counts

2 → 63

Calls

Call 1

Inputs
(/.f64 (*.f64 t z) a)
(.f64 -9/2 (/.f64 (.f64 t z) a))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (*.f64 -9/2 t) (/.f64 a z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -9/2 (/.f64 a (*.f64 t z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a (*.f64 (*.f64 t z) -9/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 t z) -9/2) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (*.f64 t z) -9/2)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 t z) -9/2) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 t z) -9/2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 t z) -9/2) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 t -9/2) (/.f64 a z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 t (neg.f64 z)) -9/2) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -9/2 t) (/.f64 a z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -9/2 (*.f64 t (neg.f64 z))) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 -9/2 t) (/.f64 a z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 -9/2 t) (/.f64 a z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 -9/2 t) (/.f64 a z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 -9/2 t) (/.f64 a z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (*.f64 (/.f64 t a) z) 2) 81/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 (/.f64 t a) z)) -9/2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 -9/2 t) (/.f64 a z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 -9/2 t) (/.f64 a z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 -9/2 t) (/.f64 a z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 -9/2 t) (/.f64 a z))))))))

simplify23.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

63 → 63

Calls

Call 1

Inputs

Outputs

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.6b	(/.f64 (.f64 y x) (.f64 a 2))

Compiler

Compiled 22 to 12 computations (45.5% saved)

series6.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(/.f64 (.f64 y x) (.f64 a 2))
1.0ms	a	@	0	(/.f64 (.f64 y x) (.f64 a 2))
1.0ms	x	@	0	(/.f64 (.f64 y x) (.f64 a 2))
1.0ms	a	@	inf	(/.f64 (.f64 y x) (.f64 a 2))
1.0ms	x	@	inf	(/.f64 (.f64 y x) (.f64 a 2))

rewrite114.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

520×	`log-prod_binary64`
410×	`exp-prod_binary64`
313×	`prod-exp_binary64`
270×	`pow-prod-down_binary64`
229×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	171	10
2	2416	10

Stop Event

1×	node limit

Counts

1 → 74

Calls

Call 1

Inputs
(/.f64 (.f64 y x) (.f64 a 2))

Outputs

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

simplify37.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative_binary64`
15×	`associate-/l*_binary64`
11×	`associate-/r/_binary64`
10×	`associate-r_binary64`
8×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	360
1	14	360
2	29	360
3	56	360
4	86	360
5	97	360

Stop Event

1×

saturated

Counts

110 → 76

Calls

Call 1

Inputs
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))

Outputs
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.2b	(.f64 z (.f64 t -9))
✓	5.4b	(/.f64 (.f64 z (.f64 t -9)) (*.f64 a 2))

Compiler

Compiled 30 to 20 computations (33.3% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	z	@	0	(/.f64 (.f64 z (.f64 t -9)) (*.f64 a 2))
0.0ms	t	@	-inf	(/.f64 (.f64 z (.f64 t -9)) (*.f64 a 2))
0.0ms	a	@	-inf	(/.f64 (.f64 z (.f64 t -9)) (*.f64 a 2))
0.0ms	z	@	-inf	(/.f64 (.f64 z (.f64 t -9)) (*.f64 a 2))
0.0ms	t	@	0	(/.f64 (.f64 z (.f64 t -9)) (*.f64 a 2))

rewrite113.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

646×	`log-prod_binary64`
509×	`exp-prod_binary64`
326×	`pow-prod-down_binary64`
279×	`pow2_binary64`
206×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	214	10
2	2968	10

Stop Event

1×	node limit

Counts

1 → 74

Calls

Call 1

Inputs
(/.f64 (.f64 z (.f64 t -9)) (*.f64 a 2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 z a) (/.f64 t -2/9)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 z a)) (/.f64 t -2/9))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 z a)) (/.f64 t -2/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 z a)) (/.f64 t -2/9)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 z a)) (/.f64 t -2/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 z a) (/.f64 t -2/9)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (/.f64 1 (*.f64 (/.f64 a t) -2/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (*.f64 (*.f64 t -9) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 t -9) (*.f64 z (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 z -9) t) (/.f64 1/2 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 z a) (/.f64 t -2/9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 z a) (/.f64 t -2/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 z -9) t)) 2) (*.f64 (cbrt.f64 (*.f64 (*.f64 z -9) t)) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 z a) (/.f64 t -2/9))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 z a) (/.f64 t -2/9))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 z a) (/.f64 t -2/9))) 2) (cbrt.f64 (*.f64 (/.f64 z a) (/.f64 t -2/9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (*.f64 z -9) t)) (*.f64 (sqrt.f64 (*.f64 (*.f64 z -9) t)) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 z a) (/.f64 t -2/9))) (sqrt.f64 (*.f64 (/.f64 z a) (/.f64 t -2/9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 z t) 9) (/.f64 1 (*.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z a) (/.f64 t -2/9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 t -2/9) (/.f64 z a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 a) (*.f64 (*.f64 z -9) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 t -9) (/.f64 a z)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z t) (*.f64 -9 (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (*.f64 t -9) (/.f64 a z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 t -9) a) (/.f64 z 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z 2) (/.f64 (*.f64 t -9) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (/.f64 (*.f64 (*.f64 z -9) t) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 z -9) t)) 2) a) (/.f64 (cbrt.f64 (*.f64 (*.f64 z -9) t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 z -9) t)) a) (/.f64 (sqrt.f64 (*.f64 (*.f64 z -9) t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 z -9) t)) 2) (/.f64 (sqrt.f64 (*.f64 (*.f64 z -9) t)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 z t) a) -9/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 z -9) t)) 2) 2) (/.f64 (cbrt.f64 (*.f64 (*.f64 z -9) t)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 z t) 2) (/.f64 -9 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z 1) (/.f64 (*.f64 t -9) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 t -9) 1) (/.f64 z (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (+.f64 a a)) (*.f64 t -9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 z -9) t)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (*.f64 z -9) t)) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 z -9) t)) 1) (/.f64 (sqrt.f64 (*.f64 (*.f64 z -9) t)) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 z t) 1) (/.f64 -9 (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (pow.f64 (cbrt.f64 (+.f64 a a)) 2)) (/.f64 (*.f64 t -9) (cbrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 t -9) (pow.f64 (cbrt.f64 (+.f64 a a)) 2)) (/.f64 z (cbrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 a a)) -2) (/.f64 (*.f64 (*.f64 z -9) t) (cbrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 z -9) t)) 2) (pow.f64 (cbrt.f64 (+.f64 a a)) 2)) (cbrt.f64 (*.f64 (/.f64 z a) (/.f64 t -2/9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 z -9) t)) (pow.f64 (cbrt.f64 (+.f64 a a)) 2)) (/.f64 (sqrt.f64 (*.f64 (*.f64 z -9) t)) (cbrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 z t) (pow.f64 (cbrt.f64 (+.f64 a a)) 2)) (/.f64 -9 (cbrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (sqrt.f64 (+.f64 a a))) (/.f64 (*.f64 t -9) (sqrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 t -9) (sqrt.f64 (+.f64 a a))) (/.f64 z (sqrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 a a) -1/2) (/.f64 (*.f64 (*.f64 z -9) t) (sqrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 z -9) t)) 2) (sqrt.f64 (+.f64 a a))) (/.f64 (cbrt.f64 (*.f64 (*.f64 z -9) t)) (sqrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 z t) (sqrt.f64 (+.f64 a a))) (/.f64 -9 (sqrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 z a) (/.f64 t -2/9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 z a) (/.f64 t -2/9)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 z a) (/.f64 t -2/9)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 z a) (/.f64 t -2/9))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 z a) (/.f64 t -2/9))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (/.f64 a t) -2/9) z) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (/.f64 z a) (/.f64 t -2/9))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z -9) t) 3) (pow.f64 (+.f64 a a) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (*.f64 (/.f64 a t) -2/9) z) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 z a) (/.f64 t -2/9)))) 2)) (cbrt.f64 (log.f64 (*.f64 (/.f64 z a) (/.f64 t -2/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 z a) (/.f64 t -2/9))))) (sqrt.f64 (log.f64 (*.f64 (/.f64 z a) (/.f64 t -2/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (*.f64 z -9) t) (*.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 z a) (/.f64 t -2/9)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 z a)) (/.f64 t -2/9)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 z a) (/.f64 t -2/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 z a) (/.f64 t -2/9)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z -9) t) 3) (pow.f64 (+.f64 a a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 z a) (/.f64 t -2/9))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 z a) (/.f64 t -2/9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 z a) (/.f64 t -2/9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 z a) (/.f64 t -2/9))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (/.f64 z a) (/.f64 t -2/9)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 z a) (/.f64 t -2/9)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 z a) (/.f64 t -2/9)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (/.f64 a t) -2/9) z)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 z a) (/.f64 t -2/9))) 1) 1))))))

simplify58.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative_binary64`
15×	`associate-/l*_binary64`
11×	`associate-/r/_binary64`
10×	`associate-r_binary64`
8×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	360
1	14	360
2	29	360
3	56	360
4	86	360
5	97	360

Stop Event

1×

saturated

Counts

110 → 76

Calls

Call 1

Inputs
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))

Outputs
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 t a) (.f64 -9/2 z))
(/.f64 z (/.f64 a (*.f64 -9/2 t)))
(/.f64 (.f64 t (.f64 -9/2 z)) a)
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 t a) (.f64 -9/2 z))
(/.f64 z (/.f64 a (*.f64 -9/2 t)))
(/.f64 (.f64 t (.f64 -9/2 z)) a)
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 t a) (.f64 -9/2 z))
(/.f64 z (/.f64 a (*.f64 -9/2 t)))
(/.f64 (.f64 t (.f64 -9/2 z)) a)
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 t a) (.f64 -9/2 z))
(/.f64 z (/.f64 a (*.f64 -9/2 t)))
(/.f64 (.f64 t (.f64 -9/2 z)) a)
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 t a) (.f64 -9/2 z))
(/.f64 z (/.f64 a (*.f64 -9/2 t)))
(/.f64 (.f64 t (.f64 -9/2 z)) a)
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 t a) (.f64 -9/2 z))
(/.f64 z (/.f64 a (*.f64 -9/2 t)))
(/.f64 (.f64 t (.f64 -9/2 z)) a)
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 t a) (.f64 -9/2 z))
(/.f64 z (/.f64 a (*.f64 -9/2 t)))
(/.f64 (.f64 t (.f64 -9/2 z)) a)
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 t a) (.f64 -9/2 z))
(/.f64 z (/.f64 a (*.f64 -9/2 t)))
(/.f64 (.f64 t (.f64 -9/2 z)) a)
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 t a) (.f64 -9/2 z))
(/.f64 z (/.f64 a (*.f64 -9/2 t)))
(/.f64 (.f64 t (.f64 -9/2 z)) a)
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 t a) (.f64 -9/2 z))
(/.f64 z (/.f64 a (*.f64 -9/2 t)))
(/.f64 (.f64 t (.f64 -9/2 z)) a)
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 t a) (.f64 -9/2 z))
(/.f64 z (/.f64 a (*.f64 -9/2 t)))
(/.f64 (.f64 t (.f64 -9/2 z)) a)
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 t a) (.f64 -9/2 z))
(/.f64 z (/.f64 a (*.f64 -9/2 t)))
(/.f64 (.f64 t (.f64 -9/2 z)) a)
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 t a) (.f64 -9/2 z))
(/.f64 z (/.f64 a (*.f64 -9/2 t)))
(/.f64 (.f64 t (.f64 -9/2 z)) a)
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 t a) (.f64 -9/2 z))
(/.f64 z (/.f64 a (*.f64 -9/2 t)))
(/.f64 (.f64 t (.f64 -9/2 z)) a)
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 t a) (.f64 -9/2 z))
(/.f64 z (/.f64 a (*.f64 -9/2 t)))
(/.f64 (.f64 t (.f64 -9/2 z)) a)
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 t a) (.f64 -9/2 z))
(/.f64 z (/.f64 a (*.f64 -9/2 t)))
(/.f64 (.f64 t (.f64 -9/2 z)) a)
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 t a) (.f64 -9/2 z))
(/.f64 z (/.f64 a (*.f64 -9/2 t)))
(/.f64 (.f64 t (.f64 -9/2 z)) a)
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 t a) (.f64 -9/2 z))
(/.f64 z (/.f64 a (*.f64 -9/2 t)))
(/.f64 (.f64 t (.f64 -9/2 z)) a)
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 t a) (.f64 -9/2 z))
(/.f64 z (/.f64 a (*.f64 -9/2 t)))
(/.f64 (.f64 t (.f64 -9/2 z)) a)
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 t a) (.f64 -9/2 z))
(/.f64 z (/.f64 a (*.f64 -9/2 t)))
(/.f64 (.f64 t (.f64 -9/2 z)) a)
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 t a) (.f64 -9/2 z))
(/.f64 z (/.f64 a (*.f64 -9/2 t)))
(/.f64 (.f64 t (.f64 -9/2 z)) a)
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 t a) (.f64 -9/2 z))
(/.f64 z (/.f64 a (*.f64 -9/2 t)))
(/.f64 (.f64 t (.f64 -9/2 z)) a)
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 t a) (.f64 -9/2 z))
(/.f64 z (/.f64 a (*.f64 -9/2 t)))
(/.f64 (.f64 t (.f64 -9/2 z)) a)
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 t a) (.f64 -9/2 z))
(/.f64 z (/.f64 a (*.f64 -9/2 t)))
(/.f64 (.f64 t (.f64 -9/2 z)) a)
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 t a) (.f64 -9/2 z))
(/.f64 z (/.f64 a (*.f64 -9/2 t)))
(/.f64 (.f64 t (.f64 -9/2 z)) a)
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 t a) (.f64 -9/2 z))
(/.f64 z (/.f64 a (*.f64 -9/2 t)))
(/.f64 (.f64 t (.f64 -9/2 z)) a)
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 t a) (.f64 -9/2 z))
(/.f64 z (/.f64 a (*.f64 -9/2 t)))
(/.f64 (.f64 t (.f64 -9/2 z)) a)
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 t a) (.f64 -9/2 z))
(/.f64 z (/.f64 a (*.f64 -9/2 t)))
(/.f64 (.f64 t (.f64 -9/2 z)) a)
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 t a) (.f64 -9/2 z))
(/.f64 z (/.f64 a (*.f64 -9/2 t)))
(/.f64 (.f64 t (.f64 -9/2 z)) a)
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 t a) (.f64 -9/2 z))
(/.f64 z (/.f64 a (*.f64 -9/2 t)))
(/.f64 (.f64 t (.f64 -9/2 z)) a)
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 t a) (.f64 -9/2 z))
(/.f64 z (/.f64 a (*.f64 -9/2 t)))
(/.f64 (.f64 t (.f64 -9/2 z)) a)
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 t a) (.f64 -9/2 z))
(/.f64 z (/.f64 a (*.f64 -9/2 t)))
(/.f64 (.f64 t (.f64 -9/2 z)) a)
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 t a) (.f64 -9/2 z))
(/.f64 z (/.f64 a (*.f64 -9/2 t)))
(/.f64 (.f64 t (.f64 -9/2 z)) a)
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 t a) (.f64 -9/2 z))
(/.f64 z (/.f64 a (*.f64 -9/2 t)))
(/.f64 (.f64 t (.f64 -9/2 z)) a)
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 t a) (.f64 -9/2 z))
(/.f64 z (/.f64 a (*.f64 -9/2 t)))
(/.f64 (.f64 t (.f64 -9/2 z)) a)
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 t a) (.f64 -9/2 z))
(/.f64 z (/.f64 a (*.f64 -9/2 t)))
(/.f64 (.f64 t (.f64 -9/2 z)) a)

localize70.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 9 (.f64 z t))
✓	4.4b	(fma.f64 (/.f64 y a) (/.f64 x 2) (neg.f64 (.f64 (.f64 9 (*.f64 z t)) (/.f64 1/2 a))))
✓	5.5b	(.f64 (.f64 9 (*.f64 z t)) (/.f64 1/2 a))

Compiler

Compiled 66 to 36 computations (45.5% saved)

series75.0ms (0.4%)

Counts

3 → 120

Calls

30 calls:

Time	Variable		Point	Expression
52.0ms	z	@	0	(fma.f64 (/.f64 y a) (/.f64 x 2) (neg.f64 (.f64 (.f64 9 (*.f64 z t)) (/.f64 1/2 a))))
2.0ms	y	@	0	(fma.f64 (/.f64 y a) (/.f64 x 2) (neg.f64 (.f64 (.f64 9 (*.f64 z t)) (/.f64 1/2 a))))
1.0ms	a	@	-inf	(fma.f64 (/.f64 y a) (/.f64 x 2) (neg.f64 (.f64 (.f64 9 (*.f64 z t)) (/.f64 1/2 a))))
1.0ms	a	@	0	(fma.f64 (/.f64 y a) (/.f64 x 2) (neg.f64 (.f64 (.f64 9 (*.f64 z t)) (/.f64 1/2 a))))
1.0ms	x	@	0	(fma.f64 (/.f64 y a) (/.f64 x 2) (neg.f64 (.f64 (.f64 9 (*.f64 z t)) (/.f64 1/2 a))))

rewrite475.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

908×	`log-prod_binary64`
670×	`prod-diff_binary64`
434×	`egg-rr`
311×	`expm1-udef_binary64`
311×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	45
1	371	37
2	4734	37

Stop Event

1×	node limit

Counts

3 → 488

Calls

Call 1

Inputs
(.f64 (.f64 9 (*.f64 z t)) (/.f64 1/2 a))
(fma.f64 (/.f64 y a) (/.f64 x 2) (neg.f64 (.f64 (.f64 9 (*.f64 z t)) (/.f64 1/2 a))))
(.f64 9 (.f64 z t))

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 9 (*.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 z) t) 9)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 z) t) 9)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 z) t) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 z) t) 9))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 z) t) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 9 (*.f64 z t)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 9 (*.f64 z t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 9 (*.f64 z t)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 9 (*.f64 z t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (*.f64 z t)) 3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (*.f64 z t) 2) 81))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 z) t) 9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 9 (*.f64 z t)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 9 (*.f64 z t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 9 (*.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 9 (*.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 9 (*.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 9 (*.f64 z t))) 1))))))

simplify414.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1243×	`fma-neg_binary64`
1143×	`fma-def_binary64`
319×	`associate-/l*_binary64`
294×	`unsub-neg_binary64`
289×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	1608
1	78	1464
2	201	1464
3	550	1464
4	1389	1464
5	3022	1464
6	4473	1464
7	5259	1464
8	5712	1464
9	5946	1464
10	6105	1464
11	6131	1464
12	6149	1464
13	6351	1464
14	6975	1464
15	6975	1464

Stop Event

1×

saturated

Counts

608 → 500

Calls

Call 1

Inputs
(.f64 9/2 (/.f64 (.f64 t z) a))
(.f64 9/2 (/.f64 (.f64 t z) a))
(.f64 9/2 (/.f64 (.f64 t z) a))
(.f64 9/2 (/.f64 (.f64 t z) a))
(.f64 9/2 (/.f64 (.f64 t z) a))
(.f64 9/2 (/.f64 (.f64 t z) a))
(.f64 9/2 (/.f64 (.f64 t z) a))
(.f64 9/2 (/.f64 (.f64 t z) a))
(.f64 9/2 (/.f64 (.f64 t z) a))
(.f64 9/2 (/.f64 (.f64 t z) a))
(.f64 9/2 (/.f64 (.f64 t z) a))
(.f64 9/2 (/.f64 (.f64 t z) a))
(.f64 9/2 (/.f64 (.f64 t z) a))
(.f64 9/2 (/.f64 (.f64 t z) a))
(.f64 9/2 (/.f64 (.f64 t z) a))
(.f64 9/2 (/.f64 (.f64 t z) a))
(.f64 9/2 (/.f64 (.f64 t z) a))
(.f64 9/2 (/.f64 (.f64 t z) a))
(.f64 9/2 (/.f64 (.f64 t z) a))
(.f64 9/2 (/.f64 (.f64 t z) a))
(.f64 9/2 (/.f64 (.f64 t z) a))
(.f64 9/2 (/.f64 (.f64 t z) a))
(.f64 9/2 (/.f64 (.f64 t z) a))
(.f64 9/2 (/.f64 (.f64 t z) a))
(.f64 9/2 (/.f64 (.f64 t z) a))
(.f64 9/2 (/.f64 (.f64 t z) a))
(.f64 9/2 (/.f64 (.f64 t z) a))
(.f64 9/2 (/.f64 (.f64 t z) a))
(.f64 9/2 (/.f64 (.f64 t z) a))
(.f64 9/2 (/.f64 (.f64 t z) a))
(.f64 9/2 (/.f64 (.f64 t z) a))
(.f64 9/2 (/.f64 (.f64 t z) a))
(.f64 9/2 (/.f64 (.f64 t z) a))
(.f64 9/2 (/.f64 (.f64 t z) a))
(.f64 9/2 (/.f64 (.f64 t z) a))
(.f64 9/2 (/.f64 (.f64 t z) a))
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(.f64 9 (.f64 t z))
(.f64 (.f64 t z) 9)
(.f64 z (.f64 t 9))
(.f64 t (.f64 z 9))

eval782.0ms (4.6%)

Compiler: Compiled 34636 to 19781 computations (42.9% saved)

prune249.0ms (1.5%)

Pruning

18 alts after pruning (14 fresh and 4 done)

	Pruned	Kept	Total
New	1017	14	1031
Fresh	10	0	10
Picked	1	0	1
Done	1	4	5
Total	1029	18	1047

Error

Counts

1047 → 18

Alt Table

Click to see full alt table

Status	Error	Program
▶	8.2b	(-.f64 (.f64 (/.f64 y a) (.f64 1/2 x)) (/.f64 (.f64 (.f64 z t) 9/2) a))
	33.8b	(*.f64 (/.f64 z a) (/.f64 t -2/9))
	34.9b	(/.f64 (.f64 t (.f64 -9/2 z)) a)
▶	31.4b	(*.f64 (/.f64 y 2) (/.f64 x a))
▶	34.9b	(/.f64 (.f64 (.f64 t z) -9/2) a)
✓	7.0b	(/.f64 (-.f64 (.f64 x y) (.f64 z (.f64 t 9))) (.f64 a 2))
	43.4b	(*.f64 (/.f64 y (sqrt.f64 (+.f64 a a))) (/.f64 x (sqrt.f64 (+.f64 a a))))
✓	34.9b	(.f64 -9/2 (/.f64 (.f64 t z) a))
	32.1b	(*.f64 (/.f64 x (/.f64 a y)) 1/2)
✓	31.2b	(/.f64 (.f64 y x) (.f64 a 2))
	35.2b	(.f64 z (.f64 (*.f64 t -9) (/.f64 1/2 a)))
	31.6b	(*.f64 (/.f64 y (+.f64 a a)) x)
✓	7.0b	(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) (.f64 a 2))
	33.7b	(/.f64 (*.f64 t -9/2) (/.f64 a z))
	34.8b	(.f64 (/.f64 1/2 a) (.f64 (*.f64 z -9) t))
▶	35.0b	(/.f64 -9/2 (/.f64 a (*.f64 t z)))
▶	33.8b	(*.f64 t (/.f64 z (/.f64 a -9/2)))
	31.2b	(.f64 (/.f64 1/2 a) (.f64 y x))

Compiler

Compiled 432 to 314 computations (27.3% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 (/.f64 y a) (.f64 1/2 x)) (/.f64 (.f64 (.f64 z t) 9/2) a))
✓	0.2b	(.f64 (.f64 z t) 9/2)
✓	5.4b	(/.f64 (.f64 (.f64 z t) 9/2) a)
✓	7.2b	(.f64 (/.f64 y a) (.f64 1/2 x))

Compiler

Compiled 55 to 26 computations (52.7% saved)

series14.0ms (0.1%)

Counts

4 → 156

Calls

39 calls:

Time	Variable		Point	Expression
1.0ms	y	@	inf	(.f64 (/.f64 y a) (.f64 1/2 x))
1.0ms	a	@	inf	(.f64 (/.f64 y a) (.f64 1/2 x))
1.0ms	z	@	0	(-.f64 (.f64 (/.f64 y a) (.f64 1/2 x)) (/.f64 (.f64 (.f64 z t) 9/2) a))
0.0ms	z	@	0	(.f64 (.f64 z t) 9/2)
0.0ms	t	@	0	(.f64 (.f64 z t) 9/2)

rewrite108.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

920×	`log-prod_binary64`
372×	`fma-def_binary64`
300×	`expm1-udef_binary64`
300×	`log1p-udef_binary64`
246×	`log-pow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	49
1	328	46
2	4582	44

Stop Event

1×	node limit

Counts

4 → 240

Calls

Call 1

Inputs
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 (.f64 (.f64 z t) 9/2) a)
(.f64 (.f64 z t) 9/2)
(-.f64 (.f64 (/.f64 y a) (.f64 1/2 x)) (/.f64 (.f64 (.f64 z t) 9/2) a))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (/.f64 y a) (.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/2) (/.f64 y a))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/2) (/.f64 y a))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/2) (/.f64 y a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/2) (/.f64 y a)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/2) (/.f64 y a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 y a) (.f64 1/2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 a (.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/2 x) (/.f64 a y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a (.f64 y (.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 y (.f64 1/2 x)) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 y (.f64 1/2 x))) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 y (.f64 1/2 x)) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 y (.f64 1/2 x)) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 y (.f64 1/2 x)) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 y) (.f64 1/2 x)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 1/2 x) (neg.f64 y)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (/.f64 y a) (.f64 1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (/.f64 y a) (.f64 1/2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (/.f64 y a) (.f64 1/2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (/.f64 y a) (.f64 1/2 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (/.f64 y a) (.f64 1/2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/2) (/.f64 y a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 y a) (.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (/.f64 y a) (.f64 1/2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (/.f64 y a) (.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (/.f64 y a) (.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (/.f64 y a) (.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (/.f64 y a) (.f64 1/2 x))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 z (/.f64 a (.f64 t 9/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 z (/.f64 a (.f64 t 9/2))))) (cbrt.f64 (exp.f64 (/.f64 z (/.f64 a (.f64 t 9/2))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 z (/.f64 a (.f64 t 9/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 z (/.f64 a (.f64 t 9/2)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 z (/.f64 a (.f64 t 9/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 z (/.f64 a (.f64 t 9/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 z (.f64 (.f64 t 9/2) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 z t) (/.f64 1 (.f64 a 2/9)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 z t) (.f64 9/2 (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 9/2 (/.f64 (.f64 z t) a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 9/2 (.f64 (.f64 z t) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 z (.f64 t 9/2)) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 z (/.f64 a (.f64 t 9/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 z (/.f64 a (.f64 t 9/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 z (/.f64 a (.f64 t 9/2)))) (cbrt.f64 (pow.f64 (/.f64 z (/.f64 a (.f64 t 9/2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (/.f64 z (/.f64 a (.f64 t 9/2))) 2)) (cbrt.f64 (/.f64 z (/.f64 a (.f64 t 9/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 t 9/2))) 2) (.f64 (cbrt.f64 (.f64 z (.f64 t 9/2))) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 z (/.f64 a (.f64 t 9/2)))) (sqrt.f64 (/.f64 z (/.f64 a (.f64 t 9/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 z (.f64 t 9/2))) (.f64 (sqrt.f64 (.f64 z (.f64 t 9/2))) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 z t) -9/2) (/.f64 1 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 a) (.f64 z (.f64 t 9/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (.f64 z (.f64 t 9/2)) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (.f64 z (.f64 t 9/2)) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 z 1) (/.f64 (.f64 t 9/2) a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 z t) 1) (/.f64 9/2 a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 z t) a) 9/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 z (.f64 t 9/2))) 2) 1) (/.f64 (cbrt.f64 (.f64 z (.f64 t 9/2))) a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 z (.f64 t 9/2))) 1) (/.f64 (sqrt.f64 (.f64 z (.f64 t 9/2))) a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 z (pow.f64 (cbrt.f64 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egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 z (/.f64 a (.f64 t 9/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 z (/.f64 a (.f64 t 9/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 z (/.f64 a (.f64 t 9/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 z (/.f64 a (.f64 t 9/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 z (/.f64 a (.f64 t 9/2)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 z (.f64 t 9/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 9/2) (.f64 z t))) (cbrt.f64 (pow.f64 (exp.f64 9/2) (.f64 z t))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 9/2) (.f64 z t)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 9/2) (.f64 z t)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 9/2) (.f64 z t)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 z (.f64 t 9/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 z (.f64 t 9/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 z (.f64 t 9/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 z (.f64 t 9/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 z (.f64 t 9/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 81/4 (pow.f64 (.f64 z t) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 9/2) (.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 z (.f64 t 9/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 z (.f64 t 9/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 z (.f64 t 9/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 z (.f64 t 9/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 z (.f64 t 9/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 z (.f64 t 9/2))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 y a) (.f64 1/2 x)) (/.f64 (.f64 (.f64 z t) -9/2) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 y a) (.f64 1/2 x)) (.f64 (/.f64 (.f64 (.f64 z t) -9/2) a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (fma.f64 y (.f64 1/2 x) (.f64 (.f64 z t) -9/2)) a) (fma.f64 (neg.f64 (/.f64 1 a)) (.f64 z (.f64 t 9/2)) (/.f64 z (/.f64 a (.f64 t 9/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (fma.f64 y (.f64 1/2 x) (.f64 (.f64 z t) -9/2)) a) (fma.f64 (/.f64 (.f64 (.f64 z t) -9/2) a) 1 (/.f64 z (/.f64 a (.f64 t 9/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (fma.f64 y (.f64 1/2 x) (.f64 (.f64 z t) -9/2)) a) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 z (/.f64 a (.f64 t 9/2))))) (cbrt.f64 (pow.f64 (/.f64 z (/.f64 a (.f64 t 9/2))) 2)) (/.f64 z (/.f64 a (.f64 t 9/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (fma.f64 y (.f64 1/2 x) (.f64 (.f64 z t) -9/2)) a) (+.f64 (/.f64 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y a) 1/2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 (/.f64 (.f64 (.f64 z t) -9/2) a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 (/.f64 y a) 1/2) (sqrt.f64 x)) (sqrt.f64 x) (/.f64 (.f64 (.f64 z t) -9/2) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 (/.f64 y a) 1/2) (sqrt.f64 x)) (sqrt.f64 x) (.f64 (/.f64 (.f64 (.f64 z t) -9/2) a) 1))))))

simplify310.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1179×	`fma-neg_binary64`
1143×	`fma-def_binary64`
319×	`associate-/l*_binary64`
278×	`distribute-rgt-neg-in_binary64`
266×	`unsub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	1968
1	73	1824
2	189	1824
3	535	1824
4	1373	1824
5	2974	1824
6	4367	1824
7	5050	1824
8	5461	1824
9	5662	1824
10	5813	1824
11	5839	1824
12	5857	1824
13	6059	1824
14	6683	1824
15	6683	1824

Stop Event

1×

saturated

Counts

396 → 252

Calls

Call 1

Inputs
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
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(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(fma.f64 -9/2 (/.f64 t (/.f64 a z)) (*.f64 1/2 (/.f64 y (/.f64 a x))))
(/.f64 (fma.f64 1/2 (.f64 y x) (.f64 t (*.f64 z -9/2))) a)
(/.f64 (fma.f64 x (.f64 1/2 y) (.f64 z (*.f64 t -9/2))) a)
(/.f64 (fma.f64 1/2 (.f64 y x) (.f64 z (*.f64 t -9/2))) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(.f64 1/2 (.f64 x (/.f64 y a)))
(/.f64 x (/.f64 (/.f64 a 1/2) y))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(fma.f64 -9/2 (/.f64 t (/.f64 a z)) (*.f64 1/2 (/.f64 y (/.f64 a x))))
(/.f64 (fma.f64 1/2 (.f64 y x) (.f64 t (*.f64 z -9/2))) a)
(/.f64 (fma.f64 x (.f64 1/2 y) (.f64 z (*.f64 t -9/2))) a)
(/.f64 (fma.f64 1/2 (.f64 y x) (.f64 z (*.f64 t -9/2))) a)
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(fma.f64 -9/2 (/.f64 t (/.f64 a z)) (*.f64 1/2 (/.f64 y (/.f64 a x))))
(/.f64 (fma.f64 1/2 (.f64 y x) (.f64 t (*.f64 z -9/2))) a)
(/.f64 (fma.f64 x (.f64 1/2 y) (.f64 z (*.f64 t -9/2))) a)
(/.f64 (fma.f64 1/2 (.f64 y x) (.f64 z (*.f64 t -9/2))) a)
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(fma.f64 -9/2 (/.f64 t (/.f64 a z)) (*.f64 1/2 (/.f64 y (/.f64 a x))))
(/.f64 (fma.f64 1/2 (.f64 y x) (.f64 t (*.f64 z -9/2))) a)
(/.f64 (fma.f64 x (.f64 1/2 y) (.f64 z (*.f64 t -9/2))) a)
(/.f64 (fma.f64 1/2 (.f64 y x) (.f64 z (*.f64 t -9/2))) a)
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 (/.f64 t (/.f64 a z)) -9/2)
(*.f64 z (/.f64 t (/.f64 a -9/2)))
(.f64 z (.f64 t (/.f64 -9/2 a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(fma.f64 -9/2 (/.f64 t (/.f64 a z)) (*.f64 1/2 (/.f64 y (/.f64 a x))))
(/.f64 (fma.f64 1/2 (.f64 y x) (.f64 t (*.f64 z -9/2))) a)
(/.f64 (fma.f64 x (.f64 1/2 y) (.f64 z (*.f64 t -9/2))) a)
(/.f64 (fma.f64 1/2 (.f64 y x) (.f64 z (*.f64 t -9/2))) a)
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(fma.f64 -9/2 (/.f64 t (/.f64 a z)) (*.f64 1/2 (/.f64 y (/.f64 a x))))
(/.f64 (fma.f64 1/2 (.f64 y x) (.f64 t (*.f64 z -9/2))) a)
(/.f64 (fma.f64 x (.f64 1/2 y) (.f64 z (*.f64 t -9/2))) a)
(/.f64 (fma.f64 1/2 (.f64 y x) (.f64 z (*.f64 t -9/2))) a)
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(fma.f64 -9/2 (/.f64 t (/.f64 a z)) (*.f64 1/2 (/.f64 y (/.f64 a x))))
(/.f64 (fma.f64 1/2 (.f64 y x) (.f64 t (*.f64 z -9/2))) a)
(/.f64 (fma.f64 x (.f64 1/2 y) (.f64 z (*.f64 t -9/2))) a)
(/.f64 (fma.f64 1/2 (.f64 y x) (.f64 z (*.f64 t -9/2))) a)
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 (/.f64 t (/.f64 a z)) -9/2)
(*.f64 z (/.f64 t (/.f64 a -9/2)))
(.f64 z (.f64 t (/.f64 -9/2 a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(fma.f64 -9/2 (/.f64 t (/.f64 a z)) (*.f64 1/2 (/.f64 y (/.f64 a x))))
(/.f64 (fma.f64 1/2 (.f64 y x) (.f64 t (*.f64 z -9/2))) a)
(/.f64 (fma.f64 x (.f64 1/2 y) (.f64 z (*.f64 t -9/2))) a)
(/.f64 (fma.f64 1/2 (.f64 y x) (.f64 z (*.f64 t -9/2))) a)
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(fma.f64 -9/2 (/.f64 t (/.f64 a z)) (*.f64 1/2 (/.f64 y (/.f64 a x))))
(/.f64 (fma.f64 1/2 (.f64 y x) (.f64 t (*.f64 z -9/2))) a)
(/.f64 (fma.f64 x (.f64 1/2 y) (.f64 z (*.f64 t -9/2))) a)
(/.f64 (fma.f64 1/2 (.f64 y x) (.f64 z (*.f64 t -9/2))) a)
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(fma.f64 -9/2 (/.f64 t (/.f64 a z)) (*.f64 1/2 (/.f64 y (/.f64 a x))))
(/.f64 (fma.f64 1/2 (.f64 y x) (.f64 t (*.f64 z -9/2))) a)
(/.f64 (fma.f64 x (.f64 1/2 y) (.f64 z (*.f64 t -9/2))) a)
(/.f64 (fma.f64 1/2 (.f64 y x) (.f64 z (*.f64 t -9/2))) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(.f64 1/2 (.f64 x (/.f64 y a)))
(/.f64 x (/.f64 (/.f64 a 1/2) y))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(fma.f64 -9/2 (/.f64 t (/.f64 a z)) (*.f64 1/2 (/.f64 y (/.f64 a x))))
(/.f64 (fma.f64 1/2 (.f64 y x) (.f64 t (*.f64 z -9/2))) a)
(/.f64 (fma.f64 x (.f64 1/2 y) (.f64 z (*.f64 t -9/2))) a)
(/.f64 (fma.f64 1/2 (.f64 y x) (.f64 z (*.f64 t -9/2))) a)
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(fma.f64 -9/2 (/.f64 t (/.f64 a z)) (*.f64 1/2 (/.f64 y (/.f64 a x))))
(/.f64 (fma.f64 1/2 (.f64 y x) (.f64 t (*.f64 z -9/2))) a)
(/.f64 (fma.f64 x (.f64 1/2 y) (.f64 z (*.f64 t -9/2))) a)
(/.f64 (fma.f64 1/2 (.f64 y x) (.f64 z (*.f64 t -9/2))) a)
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(fma.f64 -9/2 (/.f64 t (/.f64 a z)) (*.f64 1/2 (/.f64 y (/.f64 a x))))
(/.f64 (fma.f64 1/2 (.f64 y x) (.f64 t (*.f64 z -9/2))) a)
(/.f64 (fma.f64 x (.f64 1/2 y) (.f64 z (*.f64 t -9/2))) a)
(/.f64 (fma.f64 1/2 (.f64 y x) (.f64 z (*.f64 t -9/2))) a)
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 (/.f64 t (/.f64 a z)) -9/2)
(*.f64 z (/.f64 t (/.f64 a -9/2)))
(.f64 z (.f64 t (/.f64 -9/2 a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(fma.f64 -9/2 (/.f64 t (/.f64 a z)) (*.f64 1/2 (/.f64 y (/.f64 a x))))
(/.f64 (fma.f64 1/2 (.f64 y x) (.f64 t (*.f64 z -9/2))) a)
(/.f64 (fma.f64 x (.f64 1/2 y) (.f64 z (*.f64 t -9/2))) a)
(/.f64 (fma.f64 1/2 (.f64 y x) (.f64 z (*.f64 t -9/2))) a)
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(fma.f64 -9/2 (/.f64 t (/.f64 a z)) (*.f64 1/2 (/.f64 y (/.f64 a x))))
(/.f64 (fma.f64 1/2 (.f64 y x) (.f64 t (*.f64 z -9/2))) a)
(/.f64 (fma.f64 x (.f64 1/2 y) (.f64 z (*.f64 t -9/2))) a)
(/.f64 (fma.f64 1/2 (.f64 y x) (.f64 z (*.f64 t -9/2))) a)
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(fma.f64 -9/2 (/.f64 t (/.f64 a z)) (*.f64 1/2 (/.f64 y (/.f64 a x))))
(/.f64 (fma.f64 1/2 (.f64 y x) (.f64 t (*.f64 z -9/2))) a)
(/.f64 (fma.f64 x (.f64 1/2 y) (.f64 z (*.f64 t -9/2))) a)
(/.f64 (fma.f64 1/2 (.f64 y x) (.f64 z (*.f64 t -9/2))) a)
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 (/.f64 t (/.f64 a z)) -9/2)
(*.f64 z (/.f64 t (/.f64 a -9/2)))
(.f64 z (.f64 t (/.f64 -9/2 a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(fma.f64 -9/2 (/.f64 t (/.f64 a z)) (*.f64 1/2 (/.f64 y (/.f64 a x))))
(/.f64 (fma.f64 1/2 (.f64 y x) (.f64 t (*.f64 z -9/2))) a)
(/.f64 (fma.f64 x (.f64 1/2 y) (.f64 z (*.f64 t -9/2))) a)
(/.f64 (fma.f64 1/2 (.f64 y x) (.f64 z (*.f64 t -9/2))) a)
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(fma.f64 -9/2 (/.f64 t (/.f64 a z)) (*.f64 1/2 (/.f64 y (/.f64 a x))))
(/.f64 (fma.f64 1/2 (.f64 y x) (.f64 t (*.f64 z -9/2))) a)
(/.f64 (fma.f64 x (.f64 1/2 y) (.f64 z (*.f64 t -9/2))) a)
(/.f64 (fma.f64 1/2 (.f64 y x) (.f64 z (*.f64 t -9/2))) a)
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(fma.f64 -9/2 (/.f64 t (/.f64 a z)) (*.f64 1/2 (/.f64 y (/.f64 a x))))
(/.f64 (fma.f64 1/2 (.f64 y x) (.f64 t (*.f64 z -9/2))) a)
(/.f64 (fma.f64 x (.f64 1/2 y) (.f64 z (*.f64 t -9/2))) a)
(/.f64 (fma.f64 1/2 (.f64 y x) (.f64 z (*.f64 t -9/2))) a)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 z (/.f64 a -9/2))
✓	4.4b	(*.f64 t (/.f64 z (/.f64 a -9/2)))

Compiler

Compiled 24 to 15 computations (37.5% saved)

series6.0ms (0%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(/.f64 z (/.f64 a -9/2))
1.0ms	a	@	inf	(/.f64 z (/.f64 a -9/2))
1.0ms	a	@	0	(/.f64 z (/.f64 a -9/2))
1.0ms	z	@	inf	(/.f64 z (/.f64 a -9/2))
0.0ms	z	@	-inf	(/.f64 z (/.f64 a -9/2))

rewrite75.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

942×	`pow1_binary64`
881×	`add-log-exp_binary64`
881×	`log1p-expm1-u_binary64`
881×	`expm1-log1p-u_binary64`
863×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	176	17
2	2366	17

Stop Event

1×	node limit

Counts

2 → 61

Calls

Call 1

Inputs
(*.f64 t (/.f64 z (/.f64 a -9/2)))
(/.f64 z (/.f64 a -9/2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 t (*.f64 z (/.f64 -9/2 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 t (/.f64 a (/.f64 z -2/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 a -2/9) (*.f64 t z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 t z) (*.f64 a -2/9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 t z)) (*.f64 a 2/9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 t z) a) -2/9)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 t z) 1) (*.f64 a -2/9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 t z) (pow.f64 (cbrt.f64 (*.f64 a -2/9)) 2)) (cbrt.f64 (*.f64 a -2/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 t z) (sqrt.f64 (*.f64 a -2/9))) (sqrt.f64 (*.f64 a -2/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 z) t) (*.f64 a 2/9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 t (neg.f64 z)) (*.f64 a 2/9))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t (*.f64 z (/.f64 -9/2 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 t (*.f64 z (/.f64 -9/2 a))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 t (*.f64 z (/.f64 -9/2 a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 t (*.f64 z (/.f64 -9/2 a)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 t (*.f64 z (/.f64 -9/2 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 t) (*.f64 z (/.f64 -9/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 t (*.f64 z (/.f64 -9/2 a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 t 3) (pow.f64 (*.f64 z (/.f64 -9/2 a)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 z (/.f64 -9/2 a)) 3) (pow.f64 t 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 t (*.f64 z (/.f64 -9/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 t (*.f64 z (/.f64 -9/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 t (*.f64 z (/.f64 -9/2 a)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 z (/.f64 -9/2 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (/.f64 -9/2 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -9/2 (/.f64 z a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (/.f64 -9/2 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 z (/.f64 -9/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (/.f64 -9/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z (/.f64 -9/2 a))) (pow.f64 (cbrt.f64 (*.f64 z (/.f64 -9/2 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 z (/.f64 -9/2 a))) 2) (cbrt.f64 (*.f64 z (/.f64 -9/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (/.f64 -9/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 z (/.f64 -9/2 a))) (sqrt.f64 (*.f64 z (/.f64 -9/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 z) (/.f64 1 (*.f64 a 2/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -9/2 a) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z a) -9/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) 1) (/.f64 (cbrt.f64 z) (*.f64 a -2/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 z) 1) (/.f64 (sqrt.f64 z) (*.f64 a -2/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 z) a) (/.f64 (sqrt.f64 z) -2/9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (/.f64 z -2/9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) a) (/.f64 (cbrt.f64 z) -2/9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 a -2/9)) 2)) (/.f64 z (cbrt.f64 (*.f64 a -2/9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 (cbrt.f64 (*.f64 a -2/9)) 2)) (cbrt.f64 (*.f64 z (/.f64 -9/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 (*.f64 a -2/9)) 2)) (/.f64 (sqrt.f64 z) (cbrt.f64 (*.f64 a -2/9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 a -2/9))) (/.f64 z (sqrt.f64 (*.f64 a -2/9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (sqrt.f64 (*.f64 a -2/9))) (/.f64 (cbrt.f64 z) (sqrt.f64 (*.f64 a -2/9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z 1) (/.f64 -9/2 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (neg.f64 a)) 9/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (/.f64 -9/2 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (/.f64 -9/2 a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (/.f64 -9/2 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (/.f64 -9/2 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (/.f64 z -2/9)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 z (*.f64 a 2/9)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (/.f64 -9/2 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (/.f64 -9/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (/.f64 -9/2 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 z 3) (pow.f64 (*.f64 a -2/9) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (/.f64 -9/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (/.f64 -9/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (/.f64 -9/2 a))))))))

simplify23.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

15×	`associate-/l*_binary64`
13×	`*-commutative_binary64`
9×	`associate-/r/_binary64`
8×	`associate-l_binary64`
7×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	528
1	19	528
2	36	528
3	60	528
4	84	528
5	88	528

Stop Event

1×

saturated

Counts

121 → 63

Calls

Call 1

Inputs
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
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(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
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(.f64 -9/2 (/.f64 (.f64 t z) a))
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(.f64 -9/2 (/.f64 (.f64 t z) a))
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(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
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(*.f64 -9/2 (/.f64 z a))
(*.f64 -9/2 (/.f64 z a))
(*.f64 -9/2 (/.f64 z a))

Outputs
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(/.f64 (.f64 (.f64 -9/2 t) z) a)
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(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
(*.f64 z (/.f64 t (/.f64 a -9/2)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
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(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
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(.f64 -9/2 (/.f64 (.f64 t z) a))
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(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
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(.f64 (/.f64 (.f64 -9/2 t) a) z)
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(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
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(.f64 -9/2 (/.f64 (.f64 t z) a))
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(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
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(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
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(.f64 -9/2 (/.f64 (.f64 t z) a))
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(.f64 (/.f64 (.f64 -9/2 t) a) z)
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(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
(*.f64 z (/.f64 t (/.f64 a -9/2)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
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(.f64 -9/2 (/.f64 (.f64 t z) a))
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(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
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(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
(*.f64 z (/.f64 t (/.f64 a -9/2)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
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(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
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(.f64 -9/2 (/.f64 (.f64 t z) a))
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(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
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(.f64 (/.f64 (.f64 -9/2 t) a) z)
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(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
(*.f64 z (/.f64 t (/.f64 a -9/2)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
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(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
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(.f64 -9/2 (/.f64 (.f64 t z) a))
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(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
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(.f64 -9/2 (/.f64 (.f64 t z) a))
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(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
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(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
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(.f64 -9/2 (/.f64 (.f64 t z) a))
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(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
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(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
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(.f64 -9/2 (/.f64 (.f64 t z) a))
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(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
(*.f64 z (/.f64 t (/.f64 a -9/2)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
(*.f64 z (/.f64 t (/.f64 a -9/2)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
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(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
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(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
(*.f64 z (/.f64 t (/.f64 a -9/2)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
(*.f64 z (/.f64 t (/.f64 a -9/2)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
(*.f64 z (/.f64 t (/.f64 a -9/2)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
(*.f64 z (/.f64 t (/.f64 a -9/2)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
(*.f64 z (/.f64 t (/.f64 a -9/2)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
(*.f64 z (/.f64 t (/.f64 a -9/2)))
(*.f64 -9/2 (/.f64 z a))
(*.f64 -9/2 (/.f64 z a))
(*.f64 -9/2 (/.f64 z a))
(*.f64 -9/2 (/.f64 z a))
(*.f64 -9/2 (/.f64 z a))
(*.f64 -9/2 (/.f64 z a))
(*.f64 -9/2 (/.f64 z a))
(*.f64 -9/2 (/.f64 z a))
(*.f64 -9/2 (/.f64 z a))
(*.f64 -9/2 (/.f64 z a))
(*.f64 -9/2 (/.f64 z a))
(*.f64 -9/2 (/.f64 z a))
(*.f64 -9/2 (/.f64 z a))
(*.f64 -9/2 (/.f64 z a))
(*.f64 -9/2 (/.f64 z a))
(*.f64 -9/2 (/.f64 z a))
(*.f64 -9/2 (/.f64 z a))
(*.f64 -9/2 (/.f64 z a))
(*.f64 -9/2 (/.f64 z a))
(*.f64 -9/2 (/.f64 z a))
(*.f64 -9/2 (/.f64 z a))
(*.f64 -9/2 (/.f64 z a))
(*.f64 -9/2 (/.f64 z a))
(*.f64 -9/2 (/.f64 z a))

localize8.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.4b	(*.f64 (/.f64 y 2) (/.f64 x a))

Compiler

Compiled 22 to 12 computations (45.5% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(*.f64 (/.f64 y 2) (/.f64 x a))
0.0ms	y	@	-inf	(*.f64 (/.f64 y 2) (/.f64 x a))
0.0ms	x	@	inf	(*.f64 (/.f64 y 2) (/.f64 x a))
0.0ms	a	@	inf	(*.f64 (/.f64 y 2) (/.f64 x a))
0.0ms	y	@	inf	(*.f64 (/.f64 y 2) (/.f64 x a))

rewrite59.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

587×	`unpow-prod-down_binary64`
465×	`log-prod_binary64`
339×	`exp-prod_binary64`
316×	`pow-prod-down_binary64`
237×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	179	10
2	2453	10

Stop Event

1×	node limit

Counts

1 → 65

Calls

Call 1

Inputs
(*.f64 (/.f64 y 2) (/.f64 x a))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y (*.f64 1/2 (/.f64 x a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 y)) (/.f64 x a))) 2)) (log.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 y)) (/.f64 x a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 y)) (/.f64 x a)))) (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 y)) (/.f64 x a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (*.f64 1/2 (/.f64 x a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (*.f64 2 (/.f64 a x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (*.f64 (/.f64 a x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 (*.f64 2 a) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 2 (/.f64 x a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y 1/2) (/.f64 a x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (*.f64 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 y x)) (neg.f64 (*.f64 2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 y (/.f64 x a))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 y (*.f64 1/2 x))) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) x) (*.f64 -2 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) 1) (*.f64 -2 (/.f64 a x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (neg.f64 x)) (*.f64 2 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) (neg.f64 x)) (*.f64 -2 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) y) (*.f64 (neg.f64 a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) 1) (*.f64 (neg.f64 a) (/.f64 2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 y)) (*.f64 a -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (neg.f64 y)) (*.f64 (neg.f64 a) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y (*.f64 1/2 x)) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y (*.f64 1/2 x)) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y (*.f64 1/2 x)) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) (/.f64 x a)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (*.f64 y 1/2)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y 1/2) (neg.f64 x)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x a) (neg.f64 y)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (*.f64 1/2 (/.f64 x a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 y (/.f64 x a)) 2) 1/4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 y (/.f64 x a)) 3) 1/8) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (*.f64 1/2 (/.f64 x a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (*.f64 1/2 (/.f64 x a)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 y (*.f64 1/2 (/.f64 x a)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 2 y) (/.f64 a x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 a x) (/.f64 2 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 2 a) (*.f64 y x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (*.f64 y (/.f64 x a))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (*.f64 y (*.f64 1/2 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 y (*.f64 1/2 (/.f64 x a))))) 2)) (cbrt.f64 (log.f64 (*.f64 y (*.f64 1/2 (/.f64 x a))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 y (*.f64 1/2 (/.f64 x a)))))) (sqrt.f64 (log.f64 (*.f64 y (*.f64 1/2 (/.f64 x a))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (*.f64 y (/.f64 x a)) 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (sqrt.f64 (exp.f64 y)) (/.f64 x a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (*.f64 1/2 (/.f64 x a))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 y (/.f64 x a)) 3) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (*.f64 1/2 (/.f64 x a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (*.f64 1/2 (/.f64 x a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (*.f64 1/2 (/.f64 x a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 1/2 (/.f64 x a)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 y (*.f64 1/2 (/.f64 x a))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (*.f64 1/2 (/.f64 x a))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (*.f64 1/2 (/.f64 x a))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (*.f64 1/2 (/.f64 x a)))) 1) 1))))))

simplify17.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative_binary64`
15×	`associate-/l*_binary64`
11×	`associate-/r/_binary64`
10×	`associate-r_binary64`
8×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	360
1	14	360
2	29	360
3	56	360
4	86	360
5	97	360

Stop Event

1×

saturated

Counts

101 → 66

Calls

Call 1

Inputs
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))

Outputs
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.9b	(/.f64 -9/2 (/.f64 a (*.f64 t z)))
✓	5.3b	(/.f64 a (*.f64 t z))

Compiler

Compiled 24 to 10 computations (58.3% saved)

series14.0ms (0.1%)

Counts

2 → 36

Calls

18 calls:

Time	Variable		Point	Expression
8.0ms	z	@	0	(/.f64 a (*.f64 t z))
1.0ms	a	@	0	(/.f64 a (*.f64 t z))
1.0ms	a	@	-inf	(/.f64 a (*.f64 t z))
0.0ms	a	@	inf	(/.f64 a (*.f64 t z))
0.0ms	t	@	0	(/.f64 a (*.f64 t z))

rewrite66.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

955×	`pow1_binary64`
891×	`add-log-exp_binary64`
891×	`log1p-expm1-u_binary64`
891×	`expm1-log1p-u_binary64`
89×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	175	17
2	2385	17

Stop Event

1×	node limit

Counts

2 → 69

Calls

Call 1

Inputs
(/.f64 a (*.f64 t z))
(/.f64 -9/2 (/.f64 a (*.f64 t z)))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 -9/2 (/.f64 (/.f64 a z) t)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 t z) (/.f64 -9/2 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -9/2 (/.f64 t (/.f64 a z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -9/2 (/.f64 (/.f64 a z) t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -9/2 (/.f64 (/.f64 a z) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -9/2 (/.f64 (/.f64 a z) t))) (cbrt.f64 (/.f64 81/4 (pow.f64 (/.f64 (/.f64 a z) t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 81/4 (pow.f64 (/.f64 (/.f64 a z) t) 2))) (cbrt.f64 (/.f64 -9/2 (/.f64 (/.f64 a z) t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -9/2 (/.f64 (/.f64 a z) t))) (sqrt.f64 (/.f64 -9/2 (/.f64 (/.f64 a z) t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 9/2 (/.f64 1 (neg.f64 (/.f64 (/.f64 a z) t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 t (/.f64 a z)) -9/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -9/2 a) (*.f64 t z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -9/2 (neg.f64 a)) (*.f64 t (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -9/2 (/.f64 a t)) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -9/2 a) t) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -9/2 a) z) t)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -9/2 a) 1) (*.f64 t z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -9/2 a) (pow.f64 (cbrt.f64 (*.f64 t z)) 2)) (cbrt.f64 (*.f64 t z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -9/2 a) (sqrt.f64 (*.f64 t z))) (sqrt.f64 (*.f64 t z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -9/2 (/.f64 (/.f64 a z) t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -9/2 (/.f64 (/.f64 a z) t)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -9/2 (/.f64 (/.f64 a z) t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -9/2 (/.f64 (/.f64 a z) t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (/.f64 a z) t) -2/9) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 81/4 (pow.f64 (/.f64 (/.f64 a z) t) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 -9/2 a)) (*.f64 t z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 -9/2 (/.f64 (/.f64 a z) t)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -9/2 (/.f64 (/.f64 a z) t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -9/2 (/.f64 (/.f64 a z) t))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -9/2 (/.f64 (/.f64 a z) t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -9/2 (/.f64 (/.f64 a z) t))))))))

simplify20.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative_binary64`
15×	`associate-/l*_binary64`
11×	`associate-/r/_binary64`
10×	`associate-r_binary64`
8×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	360
1	14	360
2	29	360
3	56	360
4	86	360
5	97	360

Stop Event

1×

saturated

Counts

105 → 71

Calls

Call 1

Inputs
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))

Outputs
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 t a) (.f64 -9/2 z))
(/.f64 z (/.f64 a (*.f64 -9/2 t)))
(/.f64 (.f64 t (.f64 -9/2 z)) a)
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 t a) (.f64 -9/2 z))
(/.f64 z (/.f64 a (*.f64 -9/2 t)))
(/.f64 (.f64 t (.f64 -9/2 z)) a)
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 t a) (.f64 -9/2 z))
(/.f64 z (/.f64 a (*.f64 -9/2 t)))
(/.f64 (.f64 t (.f64 -9/2 z)) a)
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 t a) (.f64 -9/2 z))
(/.f64 z (/.f64 a (*.f64 -9/2 t)))
(/.f64 (.f64 t (.f64 -9/2 z)) a)
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 t a) (.f64 -9/2 z))
(/.f64 z (/.f64 a (*.f64 -9/2 t)))
(/.f64 (.f64 t (.f64 -9/2 z)) a)
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 t a) (.f64 -9/2 z))
(/.f64 z (/.f64 a (*.f64 -9/2 t)))
(/.f64 (.f64 t (.f64 -9/2 z)) a)
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 t a) (.f64 -9/2 z))
(/.f64 z (/.f64 a (*.f64 -9/2 t)))
(/.f64 (.f64 t (.f64 -9/2 z)) a)
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 t a) (.f64 -9/2 z))
(/.f64 z (/.f64 a (*.f64 -9/2 t)))
(/.f64 (.f64 t (.f64 -9/2 z)) a)
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 t a) (.f64 -9/2 z))
(/.f64 z (/.f64 a (*.f64 -9/2 t)))
(/.f64 (.f64 t (.f64 -9/2 z)) a)
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 t a) (.f64 -9/2 z))
(/.f64 z (/.f64 a (*.f64 -9/2 t)))
(/.f64 (.f64 t (.f64 -9/2 z)) a)
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 t a) (.f64 -9/2 z))
(/.f64 z (/.f64 a (*.f64 -9/2 t)))
(/.f64 (.f64 t (.f64 -9/2 z)) a)
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 t a) (.f64 -9/2 z))
(/.f64 z (/.f64 a (*.f64 -9/2 t)))
(/.f64 (.f64 t (.f64 -9/2 z)) a)
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 t a) (.f64 -9/2 z))
(/.f64 z (/.f64 a (*.f64 -9/2 t)))
(/.f64 (.f64 t (.f64 -9/2 z)) a)
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 t a) (.f64 -9/2 z))
(/.f64 z (/.f64 a (*.f64 -9/2 t)))
(/.f64 (.f64 t (.f64 -9/2 z)) a)
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 t a) (.f64 -9/2 z))
(/.f64 z (/.f64 a (*.f64 -9/2 t)))
(/.f64 (.f64 t (.f64 -9/2 z)) a)
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 t a) (.f64 -9/2 z))
(/.f64 z (/.f64 a (*.f64 -9/2 t)))
(/.f64 (.f64 t (.f64 -9/2 z)) a)
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 t a) (.f64 -9/2 z))
(/.f64 z (/.f64 a (*.f64 -9/2 t)))
(/.f64 (.f64 t (.f64 -9/2 z)) a)
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 t a) (.f64 -9/2 z))
(/.f64 z (/.f64 a (*.f64 -9/2 t)))
(/.f64 (.f64 t (.f64 -9/2 z)) a)
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 t a) (.f64 -9/2 z))
(/.f64 z (/.f64 a (*.f64 -9/2 t)))
(/.f64 (.f64 t (.f64 -9/2 z)) a)
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 t a) (.f64 -9/2 z))
(/.f64 z (/.f64 a (*.f64 -9/2 t)))
(/.f64 (.f64 t (.f64 -9/2 z)) a)
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 t a) (.f64 -9/2 z))
(/.f64 z (/.f64 a (*.f64 -9/2 t)))
(/.f64 (.f64 t (.f64 -9/2 z)) a)
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 t a) (.f64 -9/2 z))
(/.f64 z (/.f64 a (*.f64 -9/2 t)))
(/.f64 (.f64 t (.f64 -9/2 z)) a)
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 t a) (.f64 -9/2 z))
(/.f64 z (/.f64 a (*.f64 -9/2 t)))
(/.f64 (.f64 t (.f64 -9/2 z)) a)
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 t a) (.f64 -9/2 z))
(/.f64 z (/.f64 a (*.f64 -9/2 t)))
(/.f64 (.f64 t (.f64 -9/2 z)) a)
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 t a) (.f64 -9/2 z))
(/.f64 z (/.f64 a (*.f64 -9/2 t)))
(/.f64 (.f64 t (.f64 -9/2 z)) a)
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 t a) (.f64 -9/2 z))
(/.f64 z (/.f64 a (*.f64 -9/2 t)))
(/.f64 (.f64 t (.f64 -9/2 z)) a)
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 t a) (.f64 -9/2 z))
(/.f64 z (/.f64 a (*.f64 -9/2 t)))
(/.f64 (.f64 t (.f64 -9/2 z)) a)
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 t a) (.f64 -9/2 z))
(/.f64 z (/.f64 a (*.f64 -9/2 t)))
(/.f64 (.f64 t (.f64 -9/2 z)) a)
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 t a) (.f64 -9/2 z))
(/.f64 z (/.f64 a (*.f64 -9/2 t)))
(/.f64 (.f64 t (.f64 -9/2 z)) a)
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 t a) (.f64 -9/2 z))
(/.f64 z (/.f64 a (*.f64 -9/2 t)))
(/.f64 (.f64 t (.f64 -9/2 z)) a)
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 t a) (.f64 -9/2 z))
(/.f64 z (/.f64 a (*.f64 -9/2 t)))
(/.f64 (.f64 t (.f64 -9/2 z)) a)
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 t a) (.f64 -9/2 z))
(/.f64 z (/.f64 a (*.f64 -9/2 t)))
(/.f64 (.f64 t (.f64 -9/2 z)) a)
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 t a) (.f64 -9/2 z))
(/.f64 z (/.f64 a (*.f64 -9/2 t)))
(/.f64 (.f64 t (.f64 -9/2 z)) a)
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 t a) (.f64 -9/2 z))
(/.f64 z (/.f64 a (*.f64 -9/2 t)))
(/.f64 (.f64 t (.f64 -9/2 z)) a)
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 t a) (.f64 -9/2 z))
(/.f64 z (/.f64 a (*.f64 -9/2 t)))
(/.f64 (.f64 t (.f64 -9/2 z)) a)
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 t a) (.f64 -9/2 z))
(/.f64 z (/.f64 a (*.f64 -9/2 t)))
(/.f64 (.f64 t (.f64 -9/2 z)) a)

localize39.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 t z) -9/2)
✓	5.4b	(/.f64 (.f64 (.f64 t z) -9/2) a)

Compiler

Compiled 24 to 12 computations (50% saved)

series4.0ms (0%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
0.0ms	z	@	0	(.f64 (.f64 t z) -9/2)
0.0ms	t	@	0	(.f64 (.f64 t z) -9/2)
0.0ms	t	@	0	(/.f64 (.f64 (.f64 t z) -9/2) a)
0.0ms	z	@	-inf	(.f64 (.f64 t z) -9/2)
0.0ms	t	@	inf	(/.f64 (.f64 (.f64 t z) -9/2) a)

rewrite64.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

900×	`pow1_binary64`
837×	`add-log-exp_binary64`
837×	`log1p-expm1-u_binary64`
837×	`expm1-log1p-u_binary64`
821×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	168	17
2	2208	17

Stop Event

1×	node limit

Counts

2 → 56

Calls

Call 1

Inputs
(/.f64 (.f64 (.f64 t z) -9/2) a)
(.f64 (.f64 t z) -9/2)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -9/2 (/.f64 a (*.f64 t z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 t (*.f64 (*.f64 z -9/2) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 t z) (/.f64 1 (*.f64 a -2/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 t z) (*.f64 -9/2 (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -9/2 (/.f64 (*.f64 t z) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -9/2 (*.f64 (*.f64 t z) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 t (*.f64 z -9/2)) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -9/2 (/.f64 a (*.f64 t z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -9/2 (/.f64 a (*.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -9/2 (/.f64 a (*.f64 t z)))) (pow.f64 (cbrt.f64 (/.f64 -9/2 (/.f64 a (*.f64 t z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -9/2 (/.f64 a (*.f64 t z)))) 2) (cbrt.f64 (/.f64 -9/2 (/.f64 a (*.f64 t z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 t (*.f64 z -9/2))) 2) (*.f64 (cbrt.f64 (*.f64 t (*.f64 z -9/2))) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -9/2 (/.f64 a (*.f64 t z)))) (sqrt.f64 (/.f64 -9/2 (/.f64 a (*.f64 t z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 t (*.f64 z -9/2))) (*.f64 (sqrt.f64 (*.f64 t (*.f64 z -9/2))) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 t z) 9/2) (/.f64 1 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (*.f64 t (*.f64 z -9/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 t 1) (/.f64 (*.f64 z -9/2) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 t z) 1) (/.f64 -9/2 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 t z) a) -9/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 t (*.f64 z -9/2))) 2) 1) (/.f64 (cbrt.f64 (*.f64 t (*.f64 z -9/2))) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 t (*.f64 z -9/2))) 1) (/.f64 (sqrt.f64 (*.f64 t (*.f64 z -9/2))) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 t (pow.f64 (cbrt.f64 a) 2)) (/.f64 (*.f64 z -9/2) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 t z) (pow.f64 (cbrt.f64 a) 2)) (/.f64 -9/2 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -9/2 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (*.f64 t z) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (*.f64 t (*.f64 z -9/2)) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 t (*.f64 z -9/2))) 2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (/.f64 -9/2 (/.f64 a (*.f64 t z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 t (*.f64 z -9/2))) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (sqrt.f64 (*.f64 t (*.f64 z -9/2))) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 t (sqrt.f64 a)) (/.f64 (*.f64 z -9/2) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 t z) (sqrt.f64 a)) (/.f64 -9/2 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -9/2 (sqrt.f64 a)) (/.f64 (*.f64 t z) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (*.f64 t (*.f64 z -9/2)) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 t (*.f64 z -9/2))) 2) (sqrt.f64 a)) (/.f64 (cbrt.f64 (*.f64 t (*.f64 z -9/2))) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -9/2 (/.f64 a (*.f64 t z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -9/2 (/.f64 a (*.f64 t z))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -9/2 (/.f64 a (*.f64 t z)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -9/2 (/.f64 a (*.f64 t z)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2/9 (/.f64 a (*.f64 t z))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 t (*.f64 z -9/2)) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 -9/2 (/.f64 a (*.f64 t z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -9/2 (/.f64 a (*.f64 t z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -9/2 (/.f64 a (*.f64 t z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 t (*.f64 z -9/2)) 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -9/2 (/.f64 a (*.f64 t z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -9/2 (/.f64 a (*.f64 t z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -9/2 (/.f64 a (*.f64 t z)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 t (*.f64 z -9/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t (*.f64 z -9/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 t (*.f64 z -9/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 t (*.f64 z -9/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 t (*.f64 z -9/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 81/4 (pow.f64 (*.f64 t z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -9/2) (*.f64 t z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 t (*.f64 z -9/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 t (*.f64 z -9/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 t (*.f64 z -9/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 t (*.f64 z -9/2))))))))

simplify25.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

17×	`associate-/l*_binary64`
13×	`*-commutative_binary64`
13×	`associate-/r/_binary64`
10×	`associate-r_binary64`
8×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	528
1	17	528
2	34	528
3	61	528
4	87	528
5	94	528

Stop Event

1×

saturated

Counts

116 → 59

Calls

Call 1

Inputs
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (.f64 t z))
(.f64 -9/2 (.f64 t z))
(.f64 -9/2 (.f64 t z))
(.f64 -9/2 (.f64 t z))
(.f64 -9/2 (.f64 t z))
(.f64 -9/2 (.f64 t z))
(.f64 -9/2 (.f64 t z))
(.f64 -9/2 (.f64 t z))
(.f64 -9/2 (.f64 t z))
(.f64 -9/2 (.f64 t z))
(.f64 -9/2 (.f64 t z))
(.f64 -9/2 (.f64 t z))
(.f64 -9/2 (.f64 t z))
(.f64 -9/2 (.f64 t z))
(.f64 -9/2 (.f64 t z))
(.f64 -9/2 (.f64 t z))
(.f64 -9/2 (.f64 t z))
(.f64 -9/2 (.f64 t z))
(.f64 -9/2 (.f64 t z))
(.f64 -9/2 (.f64 t z))
(.f64 -9/2 (.f64 t z))
(.f64 -9/2 (.f64 t z))
(.f64 -9/2 (.f64 t z))
(.f64 -9/2 (.f64 t z))

Outputs
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 z (.f64 -9/2 t)) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
(.f64 -9/2 (.f64 t (/.f64 z a)))
(.f64 t (.f64 z (/.f64 -9/2 a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 z (.f64 -9/2 t)) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
(.f64 -9/2 (.f64 t (/.f64 z a)))
(.f64 t (.f64 z (/.f64 -9/2 a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 z (.f64 -9/2 t)) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
(.f64 -9/2 (.f64 t (/.f64 z a)))
(.f64 t (.f64 z (/.f64 -9/2 a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 z (.f64 -9/2 t)) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
(.f64 -9/2 (.f64 t (/.f64 z a)))
(.f64 t (.f64 z (/.f64 -9/2 a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 z (.f64 -9/2 t)) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
(.f64 -9/2 (.f64 t (/.f64 z a)))
(.f64 t (.f64 z (/.f64 -9/2 a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 z (.f64 -9/2 t)) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
(.f64 -9/2 (.f64 t (/.f64 z a)))
(.f64 t (.f64 z (/.f64 -9/2 a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 z (.f64 -9/2 t)) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
(.f64 -9/2 (.f64 t (/.f64 z a)))
(.f64 t (.f64 z (/.f64 -9/2 a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 z (.f64 -9/2 t)) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
(.f64 -9/2 (.f64 t (/.f64 z a)))
(.f64 t (.f64 z (/.f64 -9/2 a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 z (.f64 -9/2 t)) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
(.f64 -9/2 (.f64 t (/.f64 z a)))
(.f64 t (.f64 z (/.f64 -9/2 a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 z (.f64 -9/2 t)) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
(.f64 -9/2 (.f64 t (/.f64 z a)))
(.f64 t (.f64 z (/.f64 -9/2 a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 z (.f64 -9/2 t)) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
(.f64 -9/2 (.f64 t (/.f64 z a)))
(.f64 t (.f64 z (/.f64 -9/2 a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 z (.f64 -9/2 t)) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
(.f64 -9/2 (.f64 t (/.f64 z a)))
(.f64 t (.f64 z (/.f64 -9/2 a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 z (.f64 -9/2 t)) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
(.f64 -9/2 (.f64 t (/.f64 z a)))
(.f64 t (.f64 z (/.f64 -9/2 a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 z (.f64 -9/2 t)) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
(.f64 -9/2 (.f64 t (/.f64 z a)))
(.f64 t (.f64 z (/.f64 -9/2 a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 z (.f64 -9/2 t)) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
(.f64 -9/2 (.f64 t (/.f64 z a)))
(.f64 t (.f64 z (/.f64 -9/2 a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 z (.f64 -9/2 t)) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
(.f64 -9/2 (.f64 t (/.f64 z a)))
(.f64 t (.f64 z (/.f64 -9/2 a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 z (.f64 -9/2 t)) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
(.f64 -9/2 (.f64 t (/.f64 z a)))
(.f64 t (.f64 z (/.f64 -9/2 a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 z (.f64 -9/2 t)) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
(.f64 -9/2 (.f64 t (/.f64 z a)))
(.f64 t (.f64 z (/.f64 -9/2 a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 z (.f64 -9/2 t)) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
(.f64 -9/2 (.f64 t (/.f64 z a)))
(.f64 t (.f64 z (/.f64 -9/2 a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 z (.f64 -9/2 t)) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
(.f64 -9/2 (.f64 t (/.f64 z a)))
(.f64 t (.f64 z (/.f64 -9/2 a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 z (.f64 -9/2 t)) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
(.f64 -9/2 (.f64 t (/.f64 z a)))
(.f64 t (.f64 z (/.f64 -9/2 a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 z (.f64 -9/2 t)) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
(.f64 -9/2 (.f64 t (/.f64 z a)))
(.f64 t (.f64 z (/.f64 -9/2 a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 z (.f64 -9/2 t)) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
(.f64 -9/2 (.f64 t (/.f64 z a)))
(.f64 t (.f64 z (/.f64 -9/2 a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 z (.f64 -9/2 t)) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
(.f64 -9/2 (.f64 t (/.f64 z a)))
(.f64 t (.f64 z (/.f64 -9/2 a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 z (.f64 -9/2 t)) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
(.f64 -9/2 (.f64 t (/.f64 z a)))
(.f64 t (.f64 z (/.f64 -9/2 a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 z (.f64 -9/2 t)) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
(.f64 -9/2 (.f64 t (/.f64 z a)))
(.f64 t (.f64 z (/.f64 -9/2 a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 z (.f64 -9/2 t)) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
(.f64 -9/2 (.f64 t (/.f64 z a)))
(.f64 t (.f64 z (/.f64 -9/2 a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 z (.f64 -9/2 t)) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
(.f64 -9/2 (.f64 t (/.f64 z a)))
(.f64 t (.f64 z (/.f64 -9/2 a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 z (.f64 -9/2 t)) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
(.f64 -9/2 (.f64 t (/.f64 z a)))
(.f64 t (.f64 z (/.f64 -9/2 a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 z (.f64 -9/2 t)) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
(.f64 -9/2 (.f64 t (/.f64 z a)))
(.f64 t (.f64 z (/.f64 -9/2 a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 z (.f64 -9/2 t)) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
(.f64 -9/2 (.f64 t (/.f64 z a)))
(.f64 t (.f64 z (/.f64 -9/2 a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 z (.f64 -9/2 t)) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
(.f64 -9/2 (.f64 t (/.f64 z a)))
(.f64 t (.f64 z (/.f64 -9/2 a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 z (.f64 -9/2 t)) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
(.f64 -9/2 (.f64 t (/.f64 z a)))
(.f64 t (.f64 z (/.f64 -9/2 a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 z (.f64 -9/2 t)) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
(.f64 -9/2 (.f64 t (/.f64 z a)))
(.f64 t (.f64 z (/.f64 -9/2 a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 z (.f64 -9/2 t)) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
(.f64 -9/2 (.f64 t (/.f64 z a)))
(.f64 t (.f64 z (/.f64 -9/2 a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 z (.f64 -9/2 t)) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
(.f64 -9/2 (.f64 t (/.f64 z a)))
(.f64 t (.f64 z (/.f64 -9/2 a)))
(.f64 -9/2 (.f64 t z))
(.f64 z (.f64 -9/2 t))
(.f64 -9/2 (.f64 t z))
(.f64 z (.f64 -9/2 t))
(.f64 -9/2 (.f64 t z))
(.f64 z (.f64 -9/2 t))
(.f64 -9/2 (.f64 t z))
(.f64 z (.f64 -9/2 t))
(.f64 -9/2 (.f64 t z))
(.f64 z (.f64 -9/2 t))
(.f64 -9/2 (.f64 t z))
(.f64 z (.f64 -9/2 t))
(.f64 -9/2 (.f64 t z))
(.f64 z (.f64 -9/2 t))
(.f64 -9/2 (.f64 t z))
(.f64 z (.f64 -9/2 t))
(.f64 -9/2 (.f64 t z))
(.f64 z (.f64 -9/2 t))
(.f64 -9/2 (.f64 t z))
(.f64 z (.f64 -9/2 t))
(.f64 -9/2 (.f64 t z))
(.f64 z (.f64 -9/2 t))
(.f64 -9/2 (.f64 t z))
(.f64 z (.f64 -9/2 t))
(.f64 -9/2 (.f64 t z))
(.f64 z (.f64 -9/2 t))
(.f64 -9/2 (.f64 t z))
(.f64 z (.f64 -9/2 t))
(.f64 -9/2 (.f64 t z))
(.f64 z (.f64 -9/2 t))
(.f64 -9/2 (.f64 t z))
(.f64 z (.f64 -9/2 t))
(.f64 -9/2 (.f64 t z))
(.f64 z (.f64 -9/2 t))
(.f64 -9/2 (.f64 t z))
(.f64 z (.f64 -9/2 t))
(.f64 -9/2 (.f64 t z))
(.f64 z (.f64 -9/2 t))
(.f64 -9/2 (.f64 t z))
(.f64 z (.f64 -9/2 t))
(.f64 -9/2 (.f64 t z))
(.f64 z (.f64 -9/2 t))
(.f64 -9/2 (.f64 t z))
(.f64 z (.f64 -9/2 t))
(.f64 -9/2 (.f64 t z))
(.f64 z (.f64 -9/2 t))
(.f64 -9/2 (.f64 t z))
(.f64 z (.f64 -9/2 t))

eval158.0ms (0.9%)

Compiler: Compiled 8917 to 5012 computations (43.8% saved)

prune101.0ms (0.6%)

Pruning

18 alts after pruning (13 fresh and 5 done)

	Pruned	Kept	Total
New	501	10	511
Fresh	6	3	9
Picked	1	0	1
Done	3	5	8
Total	511	18	529

Error

Counts

529 → 18

Alt Table

Click to see full alt table

Status	Error	Program
	32.2b	(/.f64 x (*.f64 (/.f64 2 y) a))
✓	31.4b	(*.f64 (/.f64 y 2) (/.f64 x a))
	34.8b	(.f64 (/.f64 1 a) (.f64 t (*.f64 z -9/2)))
▶	31.1b	(/.f64 (*.f64 y 1/2) (/.f64 a x))
	33.8b	(.f64 t (.f64 (/.f64 1 a) (/.f64 z -2/9)))
✓	7.0b	(/.f64 (-.f64 (.f64 x y) (.f64 z (.f64 t 9))) (.f64 a 2))
▶	33.8b	(.f64 t (.f64 (/.f64 z a) -9/2))
✓	31.2b	(/.f64 (.f64 y x) (.f64 a 2))
▶	35.2b	(.f64 z (.f64 (*.f64 t -9) (/.f64 1/2 a)))
▶	31.6b	(*.f64 (/.f64 y (+.f64 a a)) x)
✓	7.0b	(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) (.f64 a 2))
	33.7b	(/.f64 (*.f64 t -9/2) (/.f64 a z))
	35.8b	(/.f64 -9/2 (*.f64 (/.f64 a t) (/.f64 1 z)))
▶	31.4b	(/.f64 (/.f64 x a) (/.f64 2 y))
✓	8.2b	(-.f64 (.f64 (/.f64 y a) (.f64 1/2 x)) (/.f64 (.f64 (.f64 z t) 9/2) a))
	34.9b	(/.f64 (/.f64 (*.f64 t z) a) -2/9)
	33.7b	(*.f64 (/.f64 t (/.f64 a z)) -9/2)
	35.2b	(*.f64 z (/.f64 t (/.f64 a -9/2)))

Compiler

Compiled 408 to 306 computations (25% saved)

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.1b	(/.f64 (*.f64 y 1/2) (/.f64 a x))

Compiler

Compiled 22 to 12 computations (45.5% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(/.f64 (*.f64 y 1/2) (/.f64 a x))
0.0ms	x	@	0	(/.f64 (*.f64 y 1/2) (/.f64 a x))
0.0ms	a	@	-inf	(/.f64 (*.f64 y 1/2) (/.f64 a x))
0.0ms	x	@	-inf	(/.f64 (*.f64 y 1/2) (/.f64 a x))
0.0ms	y	@	inf	(/.f64 (*.f64 y 1/2) (/.f64 a x))

rewrite61.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

509×	`log-prod_binary64`
400×	`exp-prod_binary64`
296×	`prod-exp_binary64`
260×	`pow-prod-down_binary64`
232×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	174	10
2	2475	10

Stop Event

1×	node limit

Counts

1 → 77

Calls

Call 1

Inputs
(/.f64 (*.f64 y 1/2) (/.f64 a x))

Outputs

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

simplify22.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative_binary64`
15×	`associate-/l*_binary64`
11×	`associate-/r/_binary64`
10×	`associate-r_binary64`
8×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	360
1	14	360
2	29	360
3	56	360
4	86	360
5	97	360

Stop Event

1×

saturated

Counts

113 → 79

Calls

Call 1

Inputs
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))

Outputs
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (/.f64 z a) -9/2)
✓	4.4b	(.f64 t (.f64 (/.f64 z a) -9/2))

Compiler

Compiled 24 to 12 computations (50% saved)

series4.0ms (0%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
0.0ms	t	@	0	(.f64 t (.f64 (/.f64 z a) -9/2))
0.0ms	a	@	-inf	(.f64 t (.f64 (/.f64 z a) -9/2))
0.0ms	t	@	-inf	(.f64 t (.f64 (/.f64 z a) -9/2))
0.0ms	z	@	inf	(.f64 t (.f64 (/.f64 z a) -9/2))
0.0ms	z	@	-inf	(.f64 t (.f64 (/.f64 z a) -9/2))

rewrite67.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

871×	`pow1_binary64`
807×	`add-log-exp_binary64`
807×	`log1p-expm1-u_binary64`
807×	`expm1-log1p-u_binary64`
790×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	168	17
2	2153	17

Stop Event

1×	node limit

Counts

2 → 36

Calls

Call 1

Inputs
(.f64 t (.f64 (/.f64 z a) -9/2))
(*.f64 (/.f64 z a) -9/2)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 t (*.f64 (/.f64 z a) -9/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 z -9/2) t) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 t (*.f64 z -9/2)) a)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t (*.f64 (/.f64 z a) -9/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 t (*.f64 (/.f64 z a) -9/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 t (*.f64 (/.f64 z a) -9/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 t (*.f64 (/.f64 z a) -9/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 t (*.f64 (/.f64 z a) -9/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 t (/.f64 z a))) -9/2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 t (*.f64 (/.f64 z a) -9/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 t 3) (pow.f64 (*.f64 (/.f64 z a) -9/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (/.f64 z a) -9/2) 3) (pow.f64 t 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 t (*.f64 (/.f64 z a) -9/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 t (*.f64 (/.f64 z a) -9/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 t (*.f64 (/.f64 z a) -9/2))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 z a) -9/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 z (/.f64 a -9/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -9/2 (/.f64 a z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a (*.f64 z -9/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z -9/2) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 z -9/2)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z -9/2) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z -9/2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z -9/2) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 z) -9/2) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -9/2 (neg.f64 z)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 z a) -9/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 z a) -9/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 z a) -9/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 z a) -9/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (/.f64 z a) 2) 81/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 z a)) -9/2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 z a) -9/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 z a) -9/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 z a) -9/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 z a) -9/2)))))))

simplify22.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

15×	`associate-/l*_binary64`
13×	`*-commutative_binary64`
9×	`associate-/r/_binary64`
8×	`associate-l_binary64`
7×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	528
1	19	528
2	36	528
3	60	528
4	84	528
5	88	528

Stop Event

1×

saturated

Counts

96 → 39

Calls

Call 1

Inputs
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 z a))
(*.f64 -9/2 (/.f64 z a))
(*.f64 -9/2 (/.f64 z a))
(*.f64 -9/2 (/.f64 z a))
(*.f64 -9/2 (/.f64 z a))
(*.f64 -9/2 (/.f64 z a))
(*.f64 -9/2 (/.f64 z a))
(*.f64 -9/2 (/.f64 z a))
(*.f64 -9/2 (/.f64 z a))
(*.f64 -9/2 (/.f64 z a))
(*.f64 -9/2 (/.f64 z a))
(*.f64 -9/2 (/.f64 z a))
(*.f64 -9/2 (/.f64 z a))
(*.f64 -9/2 (/.f64 z a))
(*.f64 -9/2 (/.f64 z a))
(*.f64 -9/2 (/.f64 z a))
(*.f64 -9/2 (/.f64 z a))
(*.f64 -9/2 (/.f64 z a))
(*.f64 -9/2 (/.f64 z a))
(*.f64 -9/2 (/.f64 z a))
(*.f64 -9/2 (/.f64 z a))
(*.f64 -9/2 (/.f64 z a))
(*.f64 -9/2 (/.f64 z a))
(*.f64 -9/2 (/.f64 z a))

Outputs
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
(*.f64 z (/.f64 t (/.f64 a -9/2)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
(*.f64 z (/.f64 t (/.f64 a -9/2)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
(*.f64 z (/.f64 t (/.f64 a -9/2)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
(*.f64 z (/.f64 t (/.f64 a -9/2)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
(*.f64 z (/.f64 t (/.f64 a -9/2)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
(*.f64 z (/.f64 t (/.f64 a -9/2)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
(*.f64 z (/.f64 t (/.f64 a -9/2)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
(*.f64 z (/.f64 t (/.f64 a -9/2)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
(*.f64 z (/.f64 t (/.f64 a -9/2)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
(*.f64 z (/.f64 t (/.f64 a -9/2)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
(*.f64 z (/.f64 t (/.f64 a -9/2)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
(*.f64 z (/.f64 t (/.f64 a -9/2)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
(*.f64 z (/.f64 t (/.f64 a -9/2)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
(*.f64 z (/.f64 t (/.f64 a -9/2)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
(*.f64 z (/.f64 t (/.f64 a -9/2)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
(*.f64 z (/.f64 t (/.f64 a -9/2)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
(*.f64 z (/.f64 t (/.f64 a -9/2)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
(*.f64 z (/.f64 t (/.f64 a -9/2)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
(*.f64 z (/.f64 t (/.f64 a -9/2)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
(*.f64 z (/.f64 t (/.f64 a -9/2)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
(*.f64 z (/.f64 t (/.f64 a -9/2)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
(*.f64 z (/.f64 t (/.f64 a -9/2)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
(*.f64 z (/.f64 t (/.f64 a -9/2)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
(*.f64 z (/.f64 t (/.f64 a -9/2)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
(*.f64 z (/.f64 t (/.f64 a -9/2)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
(*.f64 z (/.f64 t (/.f64 a -9/2)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
(*.f64 z (/.f64 t (/.f64 a -9/2)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
(*.f64 z (/.f64 t (/.f64 a -9/2)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
(*.f64 z (/.f64 t (/.f64 a -9/2)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
(*.f64 z (/.f64 t (/.f64 a -9/2)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
(*.f64 z (/.f64 t (/.f64 a -9/2)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
(*.f64 z (/.f64 t (/.f64 a -9/2)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
(*.f64 z (/.f64 t (/.f64 a -9/2)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
(*.f64 z (/.f64 t (/.f64 a -9/2)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
(*.f64 z (/.f64 t (/.f64 a -9/2)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 (/.f64 (.f64 -9/2 t) a) z)
(*.f64 z (/.f64 t (/.f64 a -9/2)))
(*.f64 -9/2 (/.f64 z a))
(*.f64 -9/2 (/.f64 z a))
(*.f64 -9/2 (/.f64 z a))
(*.f64 -9/2 (/.f64 z a))
(*.f64 -9/2 (/.f64 z a))
(*.f64 -9/2 (/.f64 z a))
(*.f64 -9/2 (/.f64 z a))
(*.f64 -9/2 (/.f64 z a))
(*.f64 -9/2 (/.f64 z a))
(*.f64 -9/2 (/.f64 z a))
(*.f64 -9/2 (/.f64 z a))
(*.f64 -9/2 (/.f64 z a))
(*.f64 -9/2 (/.f64 z a))
(*.f64 -9/2 (/.f64 z a))
(*.f64 -9/2 (/.f64 z a))
(*.f64 -9/2 (/.f64 z a))
(*.f64 -9/2 (/.f64 z a))
(*.f64 -9/2 (/.f64 z a))
(*.f64 -9/2 (/.f64 z a))
(*.f64 -9/2 (/.f64 z a))
(*.f64 -9/2 (/.f64 z a))
(*.f64 -9/2 (/.f64 z a))
(*.f64 -9/2 (/.f64 z a))
(*.f64 -9/2 (/.f64 z a))

localize8.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	7.2b	(*.f64 (/.f64 y (+.f64 a a)) x)

Compiler

Compiled 23 to 8 computations (65.2% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite54.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

789×	`pow1_binary64`
735×	`add-log-exp_binary64`
734×	`log1p-expm1-u_binary64`
734×	`expm1-log1p-u_binary64`
718×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	154	10
2	2367	10

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

Outputs

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

simplify17.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative_binary64`
15×	`associate-/l*_binary64`
11×	`associate-/r/_binary64`
10×	`associate-r_binary64`
8×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	360
1	14	360
2	29	360
3	56	360
4	86	360
5	97	360

Stop Event

1×

saturated

Counts

59 → 25

Calls

Call 1

Inputs
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))

Outputs
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)

localize13.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.5b	(/.f64 (/.f64 x a) (/.f64 2 y))

Compiler

Compiled 22 to 12 computations (45.5% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/.f64 (/.f64 x a) (/.f64 2 y))
0.0ms	a	@	inf	(/.f64 (/.f64 x a) (/.f64 2 y))
0.0ms	y	@	inf	(/.f64 (/.f64 x a) (/.f64 2 y))
0.0ms	x	@	-inf	(/.f64 (/.f64 x a) (/.f64 2 y))
0.0ms	x	@	inf	(/.f64 (/.f64 x a) (/.f64 2 y))

rewrite64.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

500×	`log-prod_binary64`
393×	`exp-prod_binary64`
329×	`prod-exp_binary64`
284×	`pow-prod-down_binary64`
242×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	181	10
2	2598	10

Stop Event

1×	node limit

Counts

1 → 74

Calls

Call 1

Inputs
(/.f64 (/.f64 x a) (/.f64 2 y))

Outputs

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

simplify19.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative_binary64`
15×	`associate-/l*_binary64`
11×	`associate-/r/_binary64`
10×	`associate-r_binary64`
8×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	360
1	14	360
2	29	360
3	56	360
4	86	360
5	97	360

Stop Event

1×

saturated

Counts

110 → 76

Calls

Call 1

Inputs
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))

Outputs
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(/.f64 (.f64 (.f64 1/2 y) x) a)
(.f64 (/.f64 y a) (.f64 1/2 x))
(/.f64 x (/.f64 a (*.f64 1/2 y)))
(/.f64 (.f64 y (.f64 1/2 x)) a)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (.f64 t -9) (/.f64 1/2 a))
✓	6.1b	(.f64 z (.f64 (*.f64 t -9) (/.f64 1/2 a)))

Compiler

Compiled 32 to 22 computations (31.3% saved)

series5.0ms (0%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	a	@	inf	(.f64 (.f64 t -9) (/.f64 1/2 a))
1.0ms	t	@	0	(.f64 (.f64 t -9) (/.f64 1/2 a))
1.0ms	a	@	0	(.f64 (.f64 t -9) (/.f64 1/2 a))
0.0ms	a	@	-inf	(.f64 (.f64 t -9) (/.f64 1/2 a))
0.0ms	t	@	-inf	(.f64 (.f64 t -9) (/.f64 1/2 a))

rewrite72.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

537×	`log-prod_binary64`
403×	`exp-prod_binary64`
383×	`prod-exp_binary64`
338×	`pow-prod-down_binary64`
268×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	212	17
2	2590	17

Stop Event

1×	node limit

Counts

2 → 82

Calls

Call 1

Inputs
(.f64 z (.f64 (*.f64 t -9) (/.f64 1/2 a)))
(.f64 (.f64 t -9) (/.f64 1/2 a))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 z (/.f64 (*.f64 t -9/2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (/.f64 (*.f64 t -9/2) a))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (/.f64 (*.f64 t -9/2) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (/.f64 (*.f64 t -9/2) a)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (/.f64 (*.f64 t -9/2) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (/.f64 (*.f64 t -9/2) a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 z t) -9) (*.f64 a 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 t -9/2) z) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (*.f64 t -9/2)) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 z t) -9) 1/2) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 z t) -9) 1) (*.f64 a 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 z t) -9) -1/2) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (/.f64 (*.f64 t -9/2) a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (/.f64 (*.f64 t -9/2) a)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (/.f64 (*.f64 t -9/2) a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (/.f64 (*.f64 t -9/2) a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (/.f64 (*.f64 t -9/2) a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 z (/.f64 (*.f64 t -9/2) a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 z (/.f64 (*.f64 t -9/2) a)))) 2)) (cbrt.f64 (log.f64 (*.f64 z (/.f64 (*.f64 t -9/2) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 z (/.f64 (*.f64 t -9/2) a))))) (sqrt.f64 (log.f64 (*.f64 z (/.f64 (*.f64 t -9/2) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (/.f64 (*.f64 t -9/2) a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (/.f64 (*.f64 t -9/2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 z (/.f64 (*.f64 t -9/2) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (/.f64 (*.f64 t -9/2) a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (/.f64 (*.f64 t -9/2) a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (/.f64 (*.f64 t -9/2) a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (/.f64 (*.f64 t -9/2) a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 z (/.f64 (*.f64 t -9/2) a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 z (/.f64 (*.f64 t -9/2) a)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z (/.f64 (*.f64 t -9/2) a)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z (/.f64 (*.f64 t -9/2) a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 z (/.f64 (*.f64 t -9/2) a))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 z) 1) (log.f64 (/.f64 (*.f64 t -9/2) a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 z) (*.f64 (log.f64 (/.f64 (*.f64 t -9/2) a)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 z) 1) (*.f64 (log.f64 (/.f64 (*.f64 t -9/2) a)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 1/2 a)) 1) (log.f64 (*.f64 (*.f64 z t) -9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 (*.f64 t -9/2) a)) 1) (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (/.f64 (*.f64 t -9/2) a)) (*.f64 (log.f64 z) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 (*.f64 t -9/2) a)) 1) (*.f64 (log.f64 z) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (*.f64 (*.f64 z t) -9)) (*.f64 (log.f64 (/.f64 1/2 a)) 1)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 t -9/2) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 t -9/2) a))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 t -9/2) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 t -9/2) a)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 t -9/2) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 t -9/2) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 t -9) (*.f64 a 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a (*.f64 t -9/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 t -9/2) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 t -9/2)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 t -9/2) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 t -9/2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 t -9/2) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (*.f64 t -9)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 t -9) -1/2) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 t -9/2) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 t -9/2) a) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 t -9/2) a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 t -9/2) a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 t -9/2) a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 (*.f64 t -9/2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (*.f64 t -9/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (*.f64 t -9/2) a))) 2)) (cbrt.f64 (log.f64 (/.f64 (*.f64 t -9/2) a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (*.f64 t -9/2) a)))) (sqrt.f64 (log.f64 (/.f64 (*.f64 t -9/2) a))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 t -9/2) a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (*.f64 t -9/2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 t -9/2) a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 t -9/2) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 t -9/2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 t -9/2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 t -9/2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 t -9/2) a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (*.f64 t -9/2) a))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (*.f64 t -9/2) a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 t -9/2) a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 t -9/2) a)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 t -9)) 1) (log.f64 (*.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 t -9/2)) (*.f64 (log.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 t) 1) (log.f64 (/.f64 -9/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 t -9)) 1) (log.f64 (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (*.f64 t -9)) (*.f64 (log.f64 (/.f64 1/2 a)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 t -9)) 1) (*.f64 (log.f64 (/.f64 1/2 a)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 1/2 a)) 1) (log.f64 (*.f64 t -9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (/.f64 1/2 a)) (*.f64 (log.f64 (*.f64 t -9)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 1/2 a)) 1) (*.f64 (log.f64 (*.f64 t -9)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (/.f64 -9/2 a)) (*.f64 (log.f64 t) 1)))))))

simplify79.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

15×	`associate-/l*_binary64`
12×	`*-commutative_binary64`
9×	`associate-l_binary64`
9×	`associate-/r/_binary64`
8×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	528
1	19	528
2	34	528
3	57	528
4	80	528
5	90	528

Stop Event

1×

saturated

Counts

142 → 86

Calls

Call 1

Inputs
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t a))
(*.f64 -9/2 (/.f64 t a))
(*.f64 -9/2 (/.f64 t a))
(*.f64 -9/2 (/.f64 t a))
(*.f64 -9/2 (/.f64 t a))
(*.f64 -9/2 (/.f64 t a))
(*.f64 -9/2 (/.f64 t a))
(*.f64 -9/2 (/.f64 t a))
(*.f64 -9/2 (/.f64 t a))
(*.f64 -9/2 (/.f64 t a))
(*.f64 -9/2 (/.f64 t a))
(*.f64 -9/2 (/.f64 t a))
(*.f64 -9/2 (/.f64 t a))
(*.f64 -9/2 (/.f64 t a))
(*.f64 -9/2 (/.f64 t a))
(*.f64 -9/2 (/.f64 t a))
(*.f64 -9/2 (/.f64 t a))
(*.f64 -9/2 (/.f64 t a))
(*.f64 -9/2 (/.f64 t a))
(*.f64 -9/2 (/.f64 t a))
(*.f64 -9/2 (/.f64 t a))
(*.f64 -9/2 (/.f64 t a))
(*.f64 -9/2 (/.f64 t a))
(*.f64 -9/2 (/.f64 t a))

Outputs
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (*.f64 -9/2 t) (/.f64 a z))
(*.f64 (/.f64 -9/2 (/.f64 a t)) z)
(.f64 -9/2 (.f64 t (/.f64 z a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (*.f64 -9/2 t) (/.f64 a z))
(*.f64 (/.f64 -9/2 (/.f64 a t)) z)
(.f64 -9/2 (.f64 t (/.f64 z a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (*.f64 -9/2 t) (/.f64 a z))
(*.f64 (/.f64 -9/2 (/.f64 a t)) z)
(.f64 -9/2 (.f64 t (/.f64 z a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (*.f64 -9/2 t) (/.f64 a z))
(*.f64 (/.f64 -9/2 (/.f64 a t)) z)
(.f64 -9/2 (.f64 t (/.f64 z a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (*.f64 -9/2 t) (/.f64 a z))
(*.f64 (/.f64 -9/2 (/.f64 a t)) z)
(.f64 -9/2 (.f64 t (/.f64 z a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (*.f64 -9/2 t) (/.f64 a z))
(*.f64 (/.f64 -9/2 (/.f64 a t)) z)
(.f64 -9/2 (.f64 t (/.f64 z a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (*.f64 -9/2 t) (/.f64 a z))
(*.f64 (/.f64 -9/2 (/.f64 a t)) z)
(.f64 -9/2 (.f64 t (/.f64 z a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (*.f64 -9/2 t) (/.f64 a z))
(*.f64 (/.f64 -9/2 (/.f64 a t)) z)
(.f64 -9/2 (.f64 t (/.f64 z a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (*.f64 -9/2 t) (/.f64 a z))
(*.f64 (/.f64 -9/2 (/.f64 a t)) z)
(.f64 -9/2 (.f64 t (/.f64 z a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (*.f64 -9/2 t) (/.f64 a z))
(*.f64 (/.f64 -9/2 (/.f64 a t)) z)
(.f64 -9/2 (.f64 t (/.f64 z a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (*.f64 -9/2 t) (/.f64 a z))
(*.f64 (/.f64 -9/2 (/.f64 a t)) z)
(.f64 -9/2 (.f64 t (/.f64 z a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (*.f64 -9/2 t) (/.f64 a z))
(*.f64 (/.f64 -9/2 (/.f64 a t)) z)
(.f64 -9/2 (.f64 t (/.f64 z a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (*.f64 -9/2 t) (/.f64 a z))
(*.f64 (/.f64 -9/2 (/.f64 a t)) z)
(.f64 -9/2 (.f64 t (/.f64 z a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (*.f64 -9/2 t) (/.f64 a z))
(*.f64 (/.f64 -9/2 (/.f64 a t)) z)
(.f64 -9/2 (.f64 t (/.f64 z a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (*.f64 -9/2 t) (/.f64 a z))
(*.f64 (/.f64 -9/2 (/.f64 a t)) z)
(.f64 -9/2 (.f64 t (/.f64 z a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (*.f64 -9/2 t) (/.f64 a z))
(*.f64 (/.f64 -9/2 (/.f64 a t)) z)
(.f64 -9/2 (.f64 t (/.f64 z a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (*.f64 -9/2 t) (/.f64 a z))
(*.f64 (/.f64 -9/2 (/.f64 a t)) z)
(.f64 -9/2 (.f64 t (/.f64 z a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (*.f64 -9/2 t) (/.f64 a z))
(*.f64 (/.f64 -9/2 (/.f64 a t)) z)
(.f64 -9/2 (.f64 t (/.f64 z a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (*.f64 -9/2 t) (/.f64 a z))
(*.f64 (/.f64 -9/2 (/.f64 a t)) z)
(.f64 -9/2 (.f64 t (/.f64 z a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (*.f64 -9/2 t) (/.f64 a z))
(*.f64 (/.f64 -9/2 (/.f64 a t)) z)
(.f64 -9/2 (.f64 t (/.f64 z a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (*.f64 -9/2 t) (/.f64 a z))
(*.f64 (/.f64 -9/2 (/.f64 a t)) z)
(.f64 -9/2 (.f64 t (/.f64 z a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (*.f64 -9/2 t) (/.f64 a z))
(*.f64 (/.f64 -9/2 (/.f64 a t)) z)
(.f64 -9/2 (.f64 t (/.f64 z a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (*.f64 -9/2 t) (/.f64 a z))
(*.f64 (/.f64 -9/2 (/.f64 a t)) z)
(.f64 -9/2 (.f64 t (/.f64 z a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (*.f64 -9/2 t) (/.f64 a z))
(*.f64 (/.f64 -9/2 (/.f64 a t)) z)
(.f64 -9/2 (.f64 t (/.f64 z a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (*.f64 -9/2 t) (/.f64 a z))
(*.f64 (/.f64 -9/2 (/.f64 a t)) z)
(.f64 -9/2 (.f64 t (/.f64 z a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (*.f64 -9/2 t) (/.f64 a z))
(*.f64 (/.f64 -9/2 (/.f64 a t)) z)
(.f64 -9/2 (.f64 t (/.f64 z a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (*.f64 -9/2 t) (/.f64 a z))
(*.f64 (/.f64 -9/2 (/.f64 a t)) z)
(.f64 -9/2 (.f64 t (/.f64 z a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (*.f64 -9/2 t) (/.f64 a z))
(*.f64 (/.f64 -9/2 (/.f64 a t)) z)
(.f64 -9/2 (.f64 t (/.f64 z a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (*.f64 -9/2 t) (/.f64 a z))
(*.f64 (/.f64 -9/2 (/.f64 a t)) z)
(.f64 -9/2 (.f64 t (/.f64 z a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (*.f64 -9/2 t) (/.f64 a z))
(*.f64 (/.f64 -9/2 (/.f64 a t)) z)
(.f64 -9/2 (.f64 t (/.f64 z a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (*.f64 -9/2 t) (/.f64 a z))
(*.f64 (/.f64 -9/2 (/.f64 a t)) z)
(.f64 -9/2 (.f64 t (/.f64 z a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (*.f64 -9/2 t) (/.f64 a z))
(*.f64 (/.f64 -9/2 (/.f64 a t)) z)
(.f64 -9/2 (.f64 t (/.f64 z a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (*.f64 -9/2 t) (/.f64 a z))
(*.f64 (/.f64 -9/2 (/.f64 a t)) z)
(.f64 -9/2 (.f64 t (/.f64 z a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (*.f64 -9/2 t) (/.f64 a z))
(*.f64 (/.f64 -9/2 (/.f64 a t)) z)
(.f64 -9/2 (.f64 t (/.f64 z a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (*.f64 -9/2 t) (/.f64 a z))
(*.f64 (/.f64 -9/2 (/.f64 a t)) z)
(.f64 -9/2 (.f64 t (/.f64 z a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(/.f64 (*.f64 -9/2 t) (/.f64 a z))
(*.f64 (/.f64 -9/2 (/.f64 a t)) z)
(.f64 -9/2 (.f64 t (/.f64 z a)))
(*.f64 -9/2 (/.f64 t a))
(/.f64 (*.f64 -9/2 t) a)
(/.f64 -9/2 (/.f64 a t))
(/.f64 t (/.f64 a -9/2))
(*.f64 -9/2 (/.f64 t a))
(/.f64 (*.f64 -9/2 t) a)
(/.f64 -9/2 (/.f64 a t))
(/.f64 t (/.f64 a -9/2))
(*.f64 -9/2 (/.f64 t a))
(/.f64 (*.f64 -9/2 t) a)
(/.f64 -9/2 (/.f64 a t))
(/.f64 t (/.f64 a -9/2))
(*.f64 -9/2 (/.f64 t a))
(/.f64 (*.f64 -9/2 t) a)
(/.f64 -9/2 (/.f64 a t))
(/.f64 t (/.f64 a -9/2))
(*.f64 -9/2 (/.f64 t a))
(/.f64 (*.f64 -9/2 t) a)
(/.f64 -9/2 (/.f64 a t))
(/.f64 t (/.f64 a -9/2))
(*.f64 -9/2 (/.f64 t a))
(/.f64 (*.f64 -9/2 t) a)
(/.f64 -9/2 (/.f64 a t))
(/.f64 t (/.f64 a -9/2))
(*.f64 -9/2 (/.f64 t a))
(/.f64 (*.f64 -9/2 t) a)
(/.f64 -9/2 (/.f64 a t))
(/.f64 t (/.f64 a -9/2))
(*.f64 -9/2 (/.f64 t a))
(/.f64 (*.f64 -9/2 t) a)
(/.f64 -9/2 (/.f64 a t))
(/.f64 t (/.f64 a -9/2))
(*.f64 -9/2 (/.f64 t a))
(/.f64 (*.f64 -9/2 t) a)
(/.f64 -9/2 (/.f64 a t))
(/.f64 t (/.f64 a -9/2))
(*.f64 -9/2 (/.f64 t a))
(/.f64 (*.f64 -9/2 t) a)
(/.f64 -9/2 (/.f64 a t))
(/.f64 t (/.f64 a -9/2))
(*.f64 -9/2 (/.f64 t a))
(/.f64 (*.f64 -9/2 t) a)
(/.f64 -9/2 (/.f64 a t))
(/.f64 t (/.f64 a -9/2))
(*.f64 -9/2 (/.f64 t a))
(/.f64 (*.f64 -9/2 t) a)
(/.f64 -9/2 (/.f64 a t))
(/.f64 t (/.f64 a -9/2))
(*.f64 -9/2 (/.f64 t a))
(/.f64 (*.f64 -9/2 t) a)
(/.f64 -9/2 (/.f64 a t))
(/.f64 t (/.f64 a -9/2))
(*.f64 -9/2 (/.f64 t a))
(/.f64 (*.f64 -9/2 t) a)
(/.f64 -9/2 (/.f64 a t))
(/.f64 t (/.f64 a -9/2))
(*.f64 -9/2 (/.f64 t a))
(/.f64 (*.f64 -9/2 t) a)
(/.f64 -9/2 (/.f64 a t))
(/.f64 t (/.f64 a -9/2))
(*.f64 -9/2 (/.f64 t a))
(/.f64 (*.f64 -9/2 t) a)
(/.f64 -9/2 (/.f64 a t))
(/.f64 t (/.f64 a -9/2))
(*.f64 -9/2 (/.f64 t a))
(/.f64 (*.f64 -9/2 t) a)
(/.f64 -9/2 (/.f64 a t))
(/.f64 t (/.f64 a -9/2))
(*.f64 -9/2 (/.f64 t a))
(/.f64 (*.f64 -9/2 t) a)
(/.f64 -9/2 (/.f64 a t))
(/.f64 t (/.f64 a -9/2))
(*.f64 -9/2 (/.f64 t a))
(/.f64 (*.f64 -9/2 t) a)
(/.f64 -9/2 (/.f64 a t))
(/.f64 t (/.f64 a -9/2))
(*.f64 -9/2 (/.f64 t a))
(/.f64 (*.f64 -9/2 t) a)
(/.f64 -9/2 (/.f64 a t))
(/.f64 t (/.f64 a -9/2))
(*.f64 -9/2 (/.f64 t a))
(/.f64 (*.f64 -9/2 t) a)
(/.f64 -9/2 (/.f64 a t))
(/.f64 t (/.f64 a -9/2))
(*.f64 -9/2 (/.f64 t a))
(/.f64 (*.f64 -9/2 t) a)
(/.f64 -9/2 (/.f64 a t))
(/.f64 t (/.f64 a -9/2))
(*.f64 -9/2 (/.f64 t a))
(/.f64 (*.f64 -9/2 t) a)
(/.f64 -9/2 (/.f64 a t))
(/.f64 t (/.f64 a -9/2))
(*.f64 -9/2 (/.f64 t a))
(/.f64 (*.f64 -9/2 t) a)
(/.f64 -9/2 (/.f64 a t))
(/.f64 t (/.f64 a -9/2))

eval137.0ms (0.8%)

Compiler: Compiled 3470 to 2070 computations (40.3% saved)

prune60.0ms (0.4%)

Pruning

18 alts after pruning (8 fresh and 10 done)

	Pruned	Kept	Total
New	304	1	305
Fresh	1	7	8
Picked	0	1	1
Done	0	9	9
Total	305	18	323

Error

Counts

323 → 18

Alt Table

Click to see full alt table

Status	Error	Program
	32.2b	(/.f64 x (*.f64 (/.f64 2 y) a))
✓	31.4b	(*.f64 (/.f64 y 2) (/.f64 x a))
	34.8b	(.f64 (/.f64 1 a) (.f64 t (*.f64 z -9/2)))
✓	31.1b	(/.f64 (*.f64 y 1/2) (/.f64 a x))
	33.8b	(.f64 t (.f64 (/.f64 1 a) (/.f64 z -2/9)))
✓	7.0b	(/.f64 (-.f64 (.f64 x y) (.f64 z (.f64 t 9))) (.f64 a 2))
✓	33.8b	(.f64 t (.f64 (/.f64 z a) -9/2))
✓	31.2b	(/.f64 (.f64 y x) (.f64 a 2))
✓	35.2b	(.f64 z (.f64 (*.f64 t -9) (/.f64 1/2 a)))
✓	31.6b	(*.f64 (/.f64 y (+.f64 a a)) x)
✓	7.0b	(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) (.f64 a 2))
	33.7b	(/.f64 (*.f64 t -9/2) (/.f64 a z))
	35.8b	(/.f64 -9/2 (*.f64 (/.f64 a t) (/.f64 1 z)))
✓	31.4b	(/.f64 (/.f64 x a) (/.f64 2 y))
✓	8.2b	(-.f64 (.f64 (/.f64 y a) (.f64 1/2 x)) (/.f64 (.f64 (.f64 z t) 9/2) a))
	34.9b	(/.f64 (/.f64 (*.f64 t z) a) -2/9)
	35.2b	(*.f64 z (/.f64 t (/.f64 a -9/2)))
	33.7b	(*.f64 (/.f64 t (/.f64 a z)) -9/2)

Compiler

Compiled 244 to 182 computations (25.4% saved)

regimes1.9s (11.3%)

Counts

42 → 3

Calls

Call 1

Inputs
(*.f64 z (/.f64 t (/.f64 a -9/2)))
(/.f64 x (*.f64 (/.f64 2 y) a))
(/.f64 (*.f64 y 1/2) (/.f64 a x))
(.f64 t (.f64 (/.f64 z a) -9/2))
(/.f64 (/.f64 x a) (/.f64 2 y))
(/.f64 (/.f64 (*.f64 t z) a) -2/9)
(*.f64 (/.f64 t (/.f64 a z)) -9/2)
(*.f64 z (/.f64 t (/.f64 a -9/2)))
(*.f64 (/.f64 z a) (/.f64 t -2/9))
(/.f64 (.f64 t (.f64 -9/2 z)) a)
(*.f64 (/.f64 y 2) (/.f64 x a))
(/.f64 (.f64 (.f64 t z) -9/2) a)
(*.f64 (/.f64 x (/.f64 a y)) 1/2)
(*.f64 (/.f64 y (+.f64 a a)) x)
(/.f64 (*.f64 t -9/2) (/.f64 a z))
(/.f64 -9/2 (/.f64 a (*.f64 t z)))
(*.f64 t (/.f64 z (/.f64 a -9/2)))
(.f64 (/.f64 1/2 a) (.f64 y x))
(*.f64 t (/.f64 z (/.f64 a -9/2)))
(*.f64 y (/.f64 x (/.f64 a 1/2)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(/.f64 (.f64 y x) (.f64 a 2))
(.f64 (/.f64 1 a) (.f64 t (*.f64 z -9/2)))
(.f64 t (.f64 (/.f64 1 a) (/.f64 z -2/9)))
(/.f64 -9/2 (*.f64 (/.f64 a t) (/.f64 1 z)))
(.f64 z (.f64 (*.f64 t -9) (/.f64 1/2 a)))
(.f64 (/.f64 1/2 a) (.f64 (*.f64 z -9) t))
(/.f64 (.f64 -9 (.f64 t z)) (*.f64 a 2))
(.f64 1/2 (.f64 (/.f64 t a) (*.f64 -9 z)))
(/.f64 (.f64 z (.f64 t -9)) (*.f64 a 2))
(/.f64 (-.f64 (.f64 x y) (.f64 z (.f64 t 9))) (.f64 a 2))
(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) (.f64 a 2))
(-.f64 (.f64 (/.f64 y a) (.f64 1/2 x)) (/.f64 (.f64 (.f64 z t) 9/2) a))
(-.f64 (.f64 (.f64 x y) (/.f64 1/2 a)) (.f64 (.f64 9 (*.f64 z t)) (/.f64 1/2 a)))
(/.f64 (fma.f64 (.f64 z -9) t (.f64 x y)) (*.f64 a 2))
(.f64 1/2 (/.f64 (fma.f64 x y (.f64 z (*.f64 t -9))) a))
(fma.f64 (/.f64 y a) (/.f64 x 2) (neg.f64 (.f64 (.f64 9 (*.f64 z t)) (/.f64 1/2 a))))
(*.f64 (/.f64 y (sqrt.f64 (+.f64 a a))) (/.f64 x (sqrt.f64 (+.f64 a a))))
(pow.f64 (.f64 2 (/.f64 a (fma.f64 x y (.f64 t (*.f64 z -9))))) -1)
(.f64 1/2 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 z (.f64 t -9) (*.f64 x y)) a) 3)))
(.f64 1/2 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (.f64 t -9) (*.f64 x y)) a)) 3))
(fma.f64 (/.f64 (sqrt.f64 (.f64 x y)) a) (/.f64 (sqrt.f64 (.f64 x y)) 2) (neg.f64 (.f64 (.f64 9 (*.f64 z t)) (/.f64 1/2 a))))

Outputs
(*.f64 (/.f64 t (/.f64 a z)) -9/2)
(/.f64 (-.f64 (.f64 x y) (.f64 z (.f64 t 9))) (.f64 a 2))
(*.f64 (/.f64 z a) (/.f64 t -2/9))

Calls

14 calls:

329.0ms	(*.f64 x y)
295.0ms	t
222.0ms	(.f64 (.f64 z 9) t)
167.0ms	(.f64 (.f64 z 9) t)
166.0ms	(*.f64 x y)

Results

Error	Segments	Branch
6.0b	2	`x`
5.8b	3	`y`
5.8b	2	`z`
4.8b	5	`t`
7.0b	1	`a`
3.7b	3	`(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) (.f64 a 2))`
3.7b	3	`(-.f64 (.f64 x y) (.f64 (*.f64 z 9) t))`
4.5b	3	`(*.f64 x y)`
4.5b	3	`(*.f64 x y)`
3.8b	3	`(.f64 (.f64 z 9) t)`
3.8b	3	`(.f64 (.f64 z 9) t)`
5.8b	2	`(*.f64 z 9)`
5.8b	2	`(*.f64 z 9)`
7.0b	1	`(*.f64 a 2)`

Compiler

Compiled 532 to 325 computations (38.9% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	9.120055671257394e+295	+inf
0.0ms	-1.6294533158708795e+303	-4.836771334184326e+294

Compiler

Compiled 26 to 20 computations (23.1% saved)

regimes1.5s (8.6%)

Counts

30 → 5

Calls

Call 1

Inputs
(*.f64 z (/.f64 t (/.f64 a -9/2)))
(/.f64 x (*.f64 (/.f64 2 y) a))
(/.f64 (*.f64 y 1/2) (/.f64 a x))
(.f64 t (.f64 (/.f64 z a) -9/2))
(/.f64 (/.f64 x a) (/.f64 2 y))
(/.f64 (/.f64 (*.f64 t z) a) -2/9)
(*.f64 (/.f64 t (/.f64 a z)) -9/2)
(*.f64 z (/.f64 t (/.f64 a -9/2)))
(*.f64 (/.f64 z a) (/.f64 t -2/9))
(/.f64 (.f64 t (.f64 -9/2 z)) a)
(*.f64 (/.f64 y 2) (/.f64 x a))
(/.f64 (.f64 (.f64 t z) -9/2) a)
(*.f64 (/.f64 x (/.f64 a y)) 1/2)
(*.f64 (/.f64 y (+.f64 a a)) x)
(/.f64 (*.f64 t -9/2) (/.f64 a z))
(/.f64 -9/2 (/.f64 a (*.f64 t z)))
(*.f64 t (/.f64 z (/.f64 a -9/2)))
(.f64 (/.f64 1/2 a) (.f64 y x))
(*.f64 t (/.f64 z (/.f64 a -9/2)))
(*.f64 y (/.f64 x (/.f64 a 1/2)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(/.f64 (.f64 y x) (.f64 a 2))
(.f64 (/.f64 1 a) (.f64 t (*.f64 z -9/2)))
(.f64 t (.f64 (/.f64 1 a) (/.f64 z -2/9)))
(/.f64 -9/2 (*.f64 (/.f64 a t) (/.f64 1 z)))
(.f64 z (.f64 (*.f64 t -9) (/.f64 1/2 a)))
(.f64 (/.f64 1/2 a) (.f64 (*.f64 z -9) t))
(/.f64 (.f64 -9 (.f64 t z)) (*.f64 a 2))
(.f64 1/2 (.f64 (/.f64 t a) (*.f64 -9 z)))
(/.f64 (.f64 z (.f64 t -9)) (*.f64 a 2))

Outputs
(*.f64 (/.f64 t (/.f64 a z)) -9/2)
(/.f64 x (*.f64 (/.f64 2 y) a))
(/.f64 (*.f64 t -9/2) (/.f64 a z))
(/.f64 (.f64 y x) (.f64 a 2))
(*.f64 t (/.f64 z (/.f64 a -9/2)))

Calls

7 calls:

420.0ms	a
221.0ms	(*.f64 a 2)
214.0ms	(*.f64 a 2)
178.0ms	z
170.0ms	t

Results

Error	Segments	Branch
18.9b	9	`x`
20.2b	5	`y`
17.4b	5	`z`
18.1b	5	`t`
19.6b	12	`a`
19.6b	12	`(*.f64 a 2)`
19.6b	12	`(*.f64 a 2)`

Compiler

Compiled 277 to 170 computations (38.6% saved)

bsearch323.0ms (1.9%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
23.0ms	2.3286160881565906e-96	2.9085414354113414e-95
113.0ms	-3.2035060025270342e+106	-2.5584122416796754e+105
96.0ms	-6.284585413080226e+146	-1.6000176505148294e+145
90.0ms	-7.738407499006385e+170	-4.1837396060173783e+167

Compiler

Compiled 572 to 440 computations (23.1% saved)

regimes455.0ms (2.7%)

Counts

21 → 5

Calls

Call 1

Inputs
(*.f64 z (/.f64 t (/.f64 a -9/2)))
(/.f64 x (*.f64 (/.f64 2 y) a))
(/.f64 (*.f64 y 1/2) (/.f64 a x))
(.f64 t (.f64 (/.f64 z a) -9/2))
(/.f64 (/.f64 x a) (/.f64 2 y))
(/.f64 (/.f64 (*.f64 t z) a) -2/9)
(*.f64 (/.f64 t (/.f64 a z)) -9/2)
(*.f64 z (/.f64 t (/.f64 a -9/2)))
(*.f64 (/.f64 z a) (/.f64 t -2/9))
(/.f64 (.f64 t (.f64 -9/2 z)) a)
(*.f64 (/.f64 y 2) (/.f64 x a))
(/.f64 (.f64 (.f64 t z) -9/2) a)
(*.f64 (/.f64 x (/.f64 a y)) 1/2)
(*.f64 (/.f64 y (+.f64 a a)) x)
(/.f64 (*.f64 t -9/2) (/.f64 a z))
(/.f64 -9/2 (/.f64 a (*.f64 t z)))
(*.f64 t (/.f64 z (/.f64 a -9/2)))
(.f64 (/.f64 1/2 a) (.f64 y x))
(*.f64 t (/.f64 z (/.f64 a -9/2)))
(*.f64 y (/.f64 x (/.f64 a 1/2)))
(.f64 -9/2 (/.f64 (.f64 t z) a))

Outputs
(*.f64 (/.f64 t (/.f64 a z)) -9/2)
(/.f64 x (*.f64 (/.f64 2 y) a))
(/.f64 (*.f64 t -9/2) (/.f64 a z))
(.f64 (/.f64 1/2 a) (.f64 y x))
(*.f64 t (/.f64 z (/.f64 a -9/2)))

Calls

5 calls:

121.0ms	x
117.0ms	a
83.0ms	t
71.0ms	y
56.0ms	z

Results

Error	Segments	Branch
18.9b	9	`x`
20.2b	5	`y`
17.5b	5	`z`
18.1b	5	`t`
19.6b	12	`a`

Compiler

Compiled 182 to 106 computations (41.8% saved)

bsearch456.0ms (2.7%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
25.0ms	2.3286160881565906e-96	2.9085414354113414e-95
120.0ms	-3.2035060025270342e+106	-2.5584122416796754e+105
156.0ms	-6.284585413080226e+146	-1.6000176505148294e+145
153.0ms	-7.738407499006385e+170	-4.1837396060173783e+167

Compiler

Compiled 572 to 440 computations (23.1% saved)

regimes315.0ms (1.9%)

Counts

17 → 5

Calls

Call 1

Inputs
(*.f64 z (/.f64 t (/.f64 a -9/2)))
(/.f64 x (*.f64 (/.f64 2 y) a))
(/.f64 (*.f64 y 1/2) (/.f64 a x))
(.f64 t (.f64 (/.f64 z a) -9/2))
(/.f64 (/.f64 x a) (/.f64 2 y))
(/.f64 (/.f64 (*.f64 t z) a) -2/9)
(*.f64 (/.f64 t (/.f64 a z)) -9/2)
(*.f64 z (/.f64 t (/.f64 a -9/2)))
(*.f64 (/.f64 z a) (/.f64 t -2/9))
(/.f64 (.f64 t (.f64 -9/2 z)) a)
(*.f64 (/.f64 y 2) (/.f64 x a))
(/.f64 (.f64 (.f64 t z) -9/2) a)
(*.f64 (/.f64 x (/.f64 a y)) 1/2)
(*.f64 (/.f64 y (+.f64 a a)) x)
(/.f64 (*.f64 t -9/2) (/.f64 a z))
(/.f64 -9/2 (/.f64 a (*.f64 t z)))
(*.f64 t (/.f64 z (/.f64 a -9/2)))

Outputs
(*.f64 (/.f64 t (/.f64 a z)) -9/2)
(/.f64 x (*.f64 (/.f64 2 y) a))
(/.f64 (*.f64 t -9/2) (/.f64 a z))
(/.f64 (*.f64 y 1/2) (/.f64 a x))
(*.f64 t (/.f64 z (/.f64 a -9/2)))

Calls

5 calls:

107.0ms	a
68.0ms	x
52.0ms	y
42.0ms	t
41.0ms	z

Results

Error	Segments	Branch
20.5b	7	`x`
20.2b	5	`y`
17.6b	5	`z`
18.1b	5	`t`
19.9b	12	`a`

Compiler

Compiled 154 to 92 computations (40.3% saved)

bsearch295.0ms (1.7%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
21.0ms	2.3286160881565906e-96	2.9085414354113414e-95
103.0ms	-3.2035060025270342e+106	-2.5584122416796754e+105
83.0ms	-6.284585413080226e+146	-1.6000176505148294e+145
87.0ms	-7.738407499006385e+170	-4.1837396060173783e+167

Compiler

Compiled 572 to 440 computations (23.1% saved)

regimes361.0ms (2.1%)

Counts

16 → 5

Calls

Call 1

Inputs
(*.f64 z (/.f64 t (/.f64 a -9/2)))
(/.f64 x (*.f64 (/.f64 2 y) a))
(/.f64 (*.f64 y 1/2) (/.f64 a x))
(.f64 t (.f64 (/.f64 z a) -9/2))
(/.f64 (/.f64 x a) (/.f64 2 y))
(/.f64 (/.f64 (*.f64 t z) a) -2/9)
(*.f64 (/.f64 t (/.f64 a z)) -9/2)
(*.f64 z (/.f64 t (/.f64 a -9/2)))
(*.f64 (/.f64 z a) (/.f64 t -2/9))
(/.f64 (.f64 t (.f64 -9/2 z)) a)
(*.f64 (/.f64 y 2) (/.f64 x a))
(/.f64 (.f64 (.f64 t z) -9/2) a)
(*.f64 (/.f64 x (/.f64 a y)) 1/2)
(*.f64 (/.f64 y (+.f64 a a)) x)
(/.f64 (*.f64 t -9/2) (/.f64 a z))
(/.f64 -9/2 (/.f64 a (*.f64 t z)))

Outputs
(*.f64 (/.f64 t (/.f64 a z)) -9/2)
(/.f64 x (*.f64 (/.f64 2 y) a))
(/.f64 (*.f64 t -9/2) (/.f64 a z))
(/.f64 (*.f64 y 1/2) (/.f64 a x))
(/.f64 (*.f64 t -9/2) (/.f64 a z))

Calls

5 calls:

161.0ms	a
69.0ms	x
48.0ms	y
39.0ms	z
38.0ms	t

Results

Error	Segments	Branch
20.5b	7	`x`
20.2b	5	`y`
17.6b	5	`z`
18.1b	5	`t`
19.9b	12	`a`

Compiler

Compiled 147 to 88 computations (40.1% saved)

bsearch314.0ms (1.8%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
23.0ms	2.3286160881565906e-96	2.9085414354113414e-95
114.0ms	-3.2035060025270342e+106	-2.5584122416796754e+105
88.0ms	-6.284585413080226e+146	-1.6000176505148294e+145
90.0ms	-7.738407499006385e+170	-4.1837396060173783e+167

Compiler

Compiled 572 to 440 computations (23.1% saved)

regimes278.0ms (1.6%)

Counts

14 → 5

Calls

Call 1

Inputs
(*.f64 z (/.f64 t (/.f64 a -9/2)))
(/.f64 x (*.f64 (/.f64 2 y) a))
(/.f64 (*.f64 y 1/2) (/.f64 a x))
(.f64 t (.f64 (/.f64 z a) -9/2))
(/.f64 (/.f64 x a) (/.f64 2 y))
(/.f64 (/.f64 (*.f64 t z) a) -2/9)
(*.f64 (/.f64 t (/.f64 a z)) -9/2)
(*.f64 z (/.f64 t (/.f64 a -9/2)))
(*.f64 (/.f64 z a) (/.f64 t -2/9))
(/.f64 (.f64 t (.f64 -9/2 z)) a)
(*.f64 (/.f64 y 2) (/.f64 x a))
(/.f64 (.f64 (.f64 t z) -9/2) a)
(*.f64 (/.f64 x (/.f64 a y)) 1/2)
(*.f64 (/.f64 y (+.f64 a a)) x)

Outputs
(*.f64 (/.f64 t (/.f64 a z)) -9/2)
(/.f64 x (*.f64 (/.f64 2 y) a))
(.f64 t (.f64 (/.f64 z a) -9/2))
(/.f64 (*.f64 y 1/2) (/.f64 a x))
(.f64 t (.f64 (/.f64 z a) -9/2))

Calls

5 calls:

95.0ms	a
58.0ms	x
44.0ms	y
39.0ms	t
38.0ms	z

Results

Error	Segments	Branch
20.5b	7	`x`
20.2b	5	`y`
17.6b	5	`z`
18.1b	5	`t`
19.9b	12	`a`

Compiler

Compiled 133 to 82 computations (38.3% saved)

bsearch308.0ms (1.8%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
23.0ms	2.3286160881565906e-96	2.9085414354113414e-95
108.0ms	-3.2035060025270342e+106	-2.5584122416796754e+105
87.0ms	-6.284585413080226e+146	-1.6000176505148294e+145
88.0ms	-7.738407499006385e+170	-4.1837396060173783e+167

Compiler

Compiled 572 to 440 computations (23.1% saved)

regimes181.0ms (1.1%)

Counts

6 → 5

Calls

Call 1

Inputs
(*.f64 z (/.f64 t (/.f64 a -9/2)))
(/.f64 x (*.f64 (/.f64 2 y) a))
(/.f64 (*.f64 y 1/2) (/.f64 a x))
(.f64 t (.f64 (/.f64 z a) -9/2))
(/.f64 (/.f64 x a) (/.f64 2 y))
(/.f64 (/.f64 (*.f64 t z) a) -2/9)

Outputs
(.f64 t (.f64 (/.f64 z a) -9/2))
(/.f64 x (*.f64 (/.f64 2 y) a))
(.f64 t (.f64 (/.f64 z a) -9/2))
(/.f64 (*.f64 y 1/2) (/.f64 a x))
(.f64 t (.f64 (/.f64 z a) -9/2))

Calls

5 calls:

61.0ms	a
38.0ms	x
28.0ms	y
28.0ms	z
23.0ms	t

Results

Error	Segments	Branch
20.6b	7	`x`
20.2b	5	`y`
17.6b	5	`z`
18.1b	5	`t`
20.2b	12	`a`

Compiler

Compiled 77 to 54 computations (29.9% saved)

bsearch330.0ms (1.9%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
22.0ms	2.3286160881565906e-96	2.9085414354113414e-95
106.0ms	-3.2035060025270342e+106	-2.5584122416796754e+105
88.0ms	-6.284585413080226e+146	-1.6000176505148294e+145
114.0ms	-7.738407499006385e+170	-4.1837396060173783e+167

Compiler

Compiled 572 to 440 computations (23.1% saved)

regimes107.0ms (0.6%)

Counts

3 → 5

Calls

Call 1

Inputs
(*.f64 z (/.f64 t (/.f64 a -9/2)))
(/.f64 x (*.f64 (/.f64 2 y) a))
(/.f64 (*.f64 y 1/2) (/.f64 a x))

Outputs
(*.f64 z (/.f64 t (/.f64 a -9/2)))
(/.f64 (*.f64 y 1/2) (/.f64 a x))
(/.f64 x (*.f64 (/.f64 2 y) a))
(/.f64 (*.f64 y 1/2) (/.f64 a x))
(*.f64 z (/.f64 t (/.f64 a -9/2)))

Calls

5 calls:

33.0ms	a
20.0ms	y
18.0ms	z
17.0ms	x
16.0ms	t

Results

Error	Segments	Branch
23.4b	5	`x`
22.1b	5	`y`
19.6b	5	`z`
19.1b	5	`t`
24.6b	9	`a`

Compiler

Compiled 56 to 42 computations (25% saved)

bsearch89.0ms (0.5%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
22.0ms	2.3435658089956605e+57	9.307642577272978e+57
23.0ms	1.2953648376784832e-65	8.817277107711323e-63
22.0ms	9.151004894346438e-242	3.314049380989951e-239
22.0ms	-1.1741227309619492e-172	-7.384033221440065e-182

Compiler

Compiled 26 to 20 computations (23.1% saved)

regimes89.0ms (0.5%)

Accuracy

Total -37.8b remaining (-187.7%)

Threshold costs -37.8b (-187.7%)

Counts

2 → 5

Calls

Call 1

Inputs
(*.f64 z (/.f64 t (/.f64 a -9/2)))
(/.f64 x (*.f64 (/.f64 2 y) a))

Outputs
(*.f64 z (/.f64 t (/.f64 a -9/2)))
(/.f64 x (*.f64 (/.f64 2 y) a))
(*.f64 z (/.f64 t (/.f64 a -9/2)))
(/.f64 x (*.f64 (/.f64 2 y) a))
(*.f64 z (/.f64 t (/.f64 a -9/2)))

Calls

5 calls:

29.0ms	a
16.0ms	z
16.0ms	y
15.0ms	x
10.0ms	t

Results

Error	Segments	Branch
24.4b	5	`x`
23.2b	5	`y`
20.1b	5	`z`
20.9b	3	`t`
25.1b	9	`a`

Compiler

Compiled 49 to 38 computations (22.4% saved)

bsearch226.0ms (1.3%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
23.0ms	2.9085414354113414e-95	1.734506935228482e-87
25.0ms	-4.2122091563563366e+40	-1.551139862037483e+40
86.0ms	-6.284585413080226e+146	-1.6000176505148294e+145
92.0ms	-7.738407499006385e+170	-4.1837396060173783e+167

Compiler

Compiled 416 to 320 computations (23.1% saved)

simplify59.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

22×	`*-commutative_binary64`
8×	`+-commutative_binary64`
8×	`distribute-rgt-neg-in_binary64`
8×	`sub-neg_binary64`
6×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	102	689
1	129	689
2	157	689
3	173	689
4	181	689
5	183	689

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) (.f64 a 2)) -1000000000000000000161765076786456438212668646231659438295495017101117499225738747865260243034213915253779773568180337416027445820567779199643391541606026068611150746122284976177256650044200527276807327067690462112661427500197051226489898260678763391449376088547292320814127957486330655468919122263277568) (.f64 (/.f64 t (/.f64 a z)) -9/2) (if (<=.f64 (/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) (.f64 a 2)) 99999999999999998134867772062300415778155607198205813300984837204468478832795008398842977267828545807373626970040225815727702936870449359100155289601680494988872072239402046841988962644563396584878879514845800049027585211004144644909839626131908358862432902604247279245705105301413805838450032640) (/.f64 (-.f64 (.f64 x y) (.f64 z (.f64 t 9))) (.f64 a 2)) (.f64 (/.f64 z a) (/.f64 t -2/9))))
(if (<=.f64 z -759999999999999956437880039375959217189694663589975017884569455250049180353479494056408263809616408250832210579222590166425858511461083149769329870080118722512557103382528) (.f64 (/.f64 t (/.f64 a z)) -9/2) (if (<=.f64 z -16500000000000001344904841271773346377322731608358279149587416973495865302295695283651005423749182273125410589006341886228820085285664162171584512) (/.f64 x (.f64 (/.f64 2 y) a)) (if (<=.f64 z -31999999999999998024265626409023313290464875663107983305421318801243887738387190836378256880125064169652224) (/.f64 (.f64 t -9/2) (/.f64 a z)) (if (<=.f64 z 5600106538975211/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424) (/.f64 (.f64 y x) (.f64 a 2)) (.f64 t (/.f64 z (/.f64 a -9/2)))))))
(if (<=.f64 z -759999999999999956437880039375959217189694663589975017884569455250049180353479494056408263809616408250832210579222590166425858511461083149769329870080118722512557103382528) (.f64 (/.f64 t (/.f64 a z)) -9/2) (if (<=.f64 z -16500000000000001344904841271773346377322731608358279149587416973495865302295695283651005423749182273125410589006341886228820085285664162171584512) (/.f64 x (.f64 (/.f64 2 y) a)) (if (<=.f64 z -31999999999999998024265626409023313290464875663107983305421318801243887738387190836378256880125064169652224) (/.f64 (.f64 t -9/2) (/.f64 a z)) (if (<=.f64 z 5600106538975211/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424) (.f64 (/.f64 1/2 a) (.f64 y x)) (.f64 t (/.f64 z (/.f64 a -9/2)))))))
(if (<=.f64 z -759999999999999956437880039375959217189694663589975017884569455250049180353479494056408263809616408250832210579222590166425858511461083149769329870080118722512557103382528) (.f64 (/.f64 t (/.f64 a z)) -9/2) (if (<=.f64 z -16500000000000001344904841271773346377322731608358279149587416973495865302295695283651005423749182273125410589006341886228820085285664162171584512) (/.f64 x (.f64 (/.f64 2 y) a)) (if (<=.f64 z -31999999999999998024265626409023313290464875663107983305421318801243887738387190836378256880125064169652224) (/.f64 (.f64 t -9/2) (/.f64 a z)) (if (<=.f64 z 5600106538975211/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424) (/.f64 (.f64 y 1/2) (/.f64 a x)) (*.f64 t (/.f64 z (/.f64 a -9/2)))))))
(if (<=.f64 z -759999999999999956437880039375959217189694663589975017884569455250049180353479494056408263809616408250832210579222590166425858511461083149769329870080118722512557103382528) (.f64 (/.f64 t (/.f64 a z)) -9/2) (if (<=.f64 z -16500000000000001344904841271773346377322731608358279149587416973495865302295695283651005423749182273125410589006341886228820085285664162171584512) (/.f64 x (.f64 (/.f64 2 y) a)) (if (<=.f64 z -31999999999999998024265626409023313290464875663107983305421318801243887738387190836378256880125064169652224) (/.f64 (.f64 t -9/2) (/.f64 a z)) (if (<=.f64 z 5600106538975211/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424) (/.f64 (.f64 y 1/2) (/.f64 a x)) (/.f64 (*.f64 t -9/2) (/.f64 a z))))))
(if (<=.f64 z -759999999999999956437880039375959217189694663589975017884569455250049180353479494056408263809616408250832210579222590166425858511461083149769329870080118722512557103382528) (.f64 (/.f64 t (/.f64 a z)) -9/2) (if (<=.f64 z -16500000000000001344904841271773346377322731608358279149587416973495865302295695283651005423749182273125410589006341886228820085285664162171584512) (/.f64 x (.f64 (/.f64 2 y) a)) (if (<=.f64 z -31999999999999998024265626409023313290464875663107983305421318801243887738387190836378256880125064169652224) (.f64 t (.f64 (/.f64 z a) -9/2)) (if (<=.f64 z 5600106538975211/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424) (/.f64 (.f64 y 1/2) (/.f64 a x)) (.f64 t (*.f64 (/.f64 z a) -9/2))))))
(if (<=.f64 z -759999999999999956437880039375959217189694663589975017884569455250049180353479494056408263809616408250832210579222590166425858511461083149769329870080118722512557103382528) (.f64 t (.f64 (/.f64 z a) -9/2)) (if (<=.f64 z -16500000000000001344904841271773346377322731608358279149587416973495865302295695283651005423749182273125410589006341886228820085285664162171584512) (/.f64 x (.f64 (/.f64 2 y) a)) (if (<=.f64 z -31999999999999998024265626409023313290464875663107983305421318801243887738387190836378256880125064169652224) (.f64 t (.f64 (/.f64 z a) -9/2)) (if (<=.f64 z 5600106538975211/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424) (/.f64 (.f64 y 1/2) (/.f64 a x)) (.f64 t (.f64 (/.f64 z a) -9/2))))))
(if (<=.f64 t -8173927670004721/69617318994479297159441705409245167921344429126717528237597542082203295398081625160307507496908132931192662194421301381083506846944815643283884602656894137393981852330936660004926669193216) (.f64 z (/.f64 t (/.f64 a -9/2))) (if (<=.f64 t 5496105859582405/60060134630437601839769261564074054890494076748396028293423195126101052500953853663579281588642651046788432153477643700953461525330417946094091687253119241280317815380727220618693026799113163298559838143343221009234642712357476936954116911097916781328596992) (/.f64 (.f64 y 1/2) (/.f64 a x)) (if (<=.f64 t 1535928329004529/118571099379011784113736688648896417641748464297615937576404566024103044751294464) (/.f64 x (.f64 (/.f64 2 y) a)) (if (<=.f64 t 2343565808995660484765598694374649620789548874522372866048) (/.f64 (.f64 y 1/2) (/.f64 a x)) (*.f64 z (/.f64 t (/.f64 a -9/2)))))))
(if (<=.f64 z -759999999999999956437880039375959217189694663589975017884569455250049180353479494056408263809616408250832210579222590166425858511461083149769329870080118722512557103382528) (.f64 z (/.f64 t (/.f64 a -9/2))) (if (<=.f64 z -16500000000000001344904841271773346377322731608358279149587416973495865302295695283651005423749182273125410589006341886228820085285664162171584512) (/.f64 x (.f64 (/.f64 2 y) a)) (if (<=.f64 z -42122091563563365580771097744972934283264) (.f64 z (/.f64 t (/.f64 a -9/2))) (if (<=.f64 z 4371733385488425/150306725297525326584926758194517569752043683130132471725266622178061377607334940381676735896625196994043838464) (/.f64 x (.f64 (/.f64 2 y) a)) (*.f64 z (/.f64 t (/.f64 a -9/2)))))))
(*.f64 z (/.f64 t (/.f64 a -9/2)))

Outputs
(if (<=.f64 (/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) (.f64 a 2)) -1000000000000000000161765076786456438212668646231659438295495017101117499225738747865260243034213915253779773568180337416027445820567779199643391541606026068611150746122284976177256650044200527276807327067690462112661427500197051226489898260678763391449376088547292320814127957486330655468919122263277568) (.f64 (/.f64 t (/.f64 a z)) -9/2) (if (<=.f64 (/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) (.f64 a 2)) 99999999999999998134867772062300415778155607198205813300984837204468478832795008398842977267828545807373626970040225815727702936870449359100155289601680494988872072239402046841988962644563396584878879514845800049027585211004144644909839626131908358862432902604247279245705105301413805838450032640) (/.f64 (-.f64 (.f64 x y) (.f64 z (.f64 t 9))) (.f64 a 2)) (.f64 (/.f64 z a) (/.f64 t -2/9))))
(if (<=.f64 (/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) (.f64 a 2)) -1000000000000000000161765076786456438212668646231659438295495017101117499225738747865260243034213915253779773568180337416027445820567779199643391541606026068611150746122284976177256650044200527276807327067690462112661427500197051226489898260678763391449376088547292320814127957486330655468919122263277568) (.f64 (/.f64 t (/.f64 a z)) -9/2) (if (<=.f64 (/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) (.f64 a 2)) 99999999999999998134867772062300415778155607198205813300984837204468478832795008398842977267828545807373626970040225815727702936870449359100155289601680494988872072239402046841988962644563396584878879514845800049027585211004144644909839626131908358862432902604247279245705105301413805838450032640) (/.f64 (-.f64 (.f64 x y) (.f64 z (.f64 9 t))) (.f64 a 2)) (.f64 (/.f64 z a) (/.f64 t -2/9))))
(if (<=.f64 (/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) (.f64 a 2)) -1000000000000000000161765076786456438212668646231659438295495017101117499225738747865260243034213915253779773568180337416027445820567779199643391541606026068611150746122284976177256650044200527276807327067690462112661427500197051226489898260678763391449376088547292320814127957486330655468919122263277568) (.f64 (/.f64 t (/.f64 a z)) -9/2) (if (<=.f64 (/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) (.f64 a 2)) 99999999999999998134867772062300415778155607198205813300984837204468478832795008398842977267828545807373626970040225815727702936870449359100155289601680494988872072239402046841988962644563396584878879514845800049027585211004144644909839626131908358862432902604247279245705105301413805838450032640) (/.f64 (+.f64 (.f64 x y) (.f64 z (.f64 t -9))) (.f64 a 2)) (.f64 (/.f64 z a) (/.f64 t -2/9))))
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(if (<=.f64 z -759999999999999956437880039375959217189694663589975017884569455250049180353479494056408263809616408250832210579222590166425858511461083149769329870080118722512557103382528) (.f64 (/.f64 t (/.f64 a z)) -9/2) (if (<=.f64 z -16500000000000001344904841271773346377322731608358279149587416973495865302295695283651005423749182273125410589006341886228820085285664162171584512) (/.f64 x (.f64 a (/.f64 2 y))) (if (<=.f64 z -31999999999999998024265626409023313290464875663107983305421318801243887738387190836378256880125064169652224) (/.f64 (.f64 t -9/2) (/.f64 a z)) (if (<=.f64 z 5600106538975211/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424) (/.f64 (.f64 x y) (.f64 a 2)) (.f64 t (/.f64 z (/.f64 a -9/2)))))))
(if (<=.f64 z -759999999999999956437880039375959217189694663589975017884569455250049180353479494056408263809616408250832210579222590166425858511461083149769329870080118722512557103382528) (.f64 (/.f64 t (/.f64 a z)) -9/2) (if (<=.f64 z -16500000000000001344904841271773346377322731608358279149587416973495865302295695283651005423749182273125410589006341886228820085285664162171584512) (/.f64 x (.f64 (/.f64 2 y) a)) (if (<=.f64 z -31999999999999998024265626409023313290464875663107983305421318801243887738387190836378256880125064169652224) (/.f64 (.f64 t -9/2) (/.f64 a z)) (if (<=.f64 z 5600106538975211/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424) (.f64 (/.f64 1/2 a) (.f64 y x)) (.f64 t (/.f64 z (/.f64 a -9/2)))))))
(if (<=.f64 z -759999999999999956437880039375959217189694663589975017884569455250049180353479494056408263809616408250832210579222590166425858511461083149769329870080118722512557103382528) (.f64 (/.f64 t (/.f64 a z)) -9/2) (if (<=.f64 z -16500000000000001344904841271773346377322731608358279149587416973495865302295695283651005423749182273125410589006341886228820085285664162171584512) (/.f64 x (.f64 a (/.f64 2 y))) (if (<=.f64 z -31999999999999998024265626409023313290464875663107983305421318801243887738387190836378256880125064169652224) (/.f64 (.f64 t -9/2) (/.f64 a z)) (if (<=.f64 z 5600106538975211/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424) (.f64 (.f64 x y) (/.f64 1/2 a)) (.f64 t (/.f64 z (/.f64 a -9/2)))))))
(if (<=.f64 z -759999999999999956437880039375959217189694663589975017884569455250049180353479494056408263809616408250832210579222590166425858511461083149769329870080118722512557103382528) (.f64 (/.f64 t (/.f64 a z)) -9/2) (if (<=.f64 z -16500000000000001344904841271773346377322731608358279149587416973495865302295695283651005423749182273125410589006341886228820085285664162171584512) (/.f64 x (.f64 (/.f64 2 y) a)) (if (<=.f64 z -31999999999999998024265626409023313290464875663107983305421318801243887738387190836378256880125064169652224) (/.f64 (.f64 t -9/2) (/.f64 a z)) (if (<=.f64 z 5600106538975211/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424) (/.f64 (.f64 y 1/2) (/.f64 a x)) (*.f64 t (/.f64 z (/.f64 a -9/2)))))))
(if (<=.f64 z -759999999999999956437880039375959217189694663589975017884569455250049180353479494056408263809616408250832210579222590166425858511461083149769329870080118722512557103382528) (.f64 (/.f64 t (/.f64 a z)) -9/2) (if (<=.f64 z -16500000000000001344904841271773346377322731608358279149587416973495865302295695283651005423749182273125410589006341886228820085285664162171584512) (/.f64 x (.f64 a (/.f64 2 y))) (if (<=.f64 z -31999999999999998024265626409023313290464875663107983305421318801243887738387190836378256880125064169652224) (/.f64 (.f64 t -9/2) (/.f64 a z)) (if (<=.f64 z 5600106538975211/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424) (/.f64 (.f64 y 1/2) (/.f64 a x)) (*.f64 t (/.f64 z (/.f64 a -9/2)))))))
(if (<=.f64 z -759999999999999956437880039375959217189694663589975017884569455250049180353479494056408263809616408250832210579222590166425858511461083149769329870080118722512557103382528) (.f64 (/.f64 t (/.f64 a z)) -9/2) (if (<=.f64 z -16500000000000001344904841271773346377322731608358279149587416973495865302295695283651005423749182273125410589006341886228820085285664162171584512) (/.f64 x (.f64 (/.f64 2 y) a)) (if (<=.f64 z -31999999999999998024265626409023313290464875663107983305421318801243887738387190836378256880125064169652224) (/.f64 (.f64 t -9/2) (/.f64 a z)) (if (<=.f64 z 5600106538975211/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424) (/.f64 (.f64 y 1/2) (/.f64 a x)) (/.f64 (*.f64 t -9/2) (/.f64 a z))))))
(if (<=.f64 z -759999999999999956437880039375959217189694663589975017884569455250049180353479494056408263809616408250832210579222590166425858511461083149769329870080118722512557103382528) (.f64 (/.f64 t (/.f64 a z)) -9/2) (if (<=.f64 z -16500000000000001344904841271773346377322731608358279149587416973495865302295695283651005423749182273125410589006341886228820085285664162171584512) (/.f64 x (.f64 a (/.f64 2 y))) (if (<=.f64 z -31999999999999998024265626409023313290464875663107983305421318801243887738387190836378256880125064169652224) (/.f64 (.f64 t -9/2) (/.f64 a z)) (if (<=.f64 z 5600106538975211/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424) (/.f64 (.f64 y 1/2) (/.f64 a x)) (/.f64 (*.f64 t -9/2) (/.f64 a z))))))
(if (<=.f64 z -759999999999999956437880039375959217189694663589975017884569455250049180353479494056408263809616408250832210579222590166425858511461083149769329870080118722512557103382528) (.f64 (/.f64 t (/.f64 a z)) -9/2) (if (<=.f64 z -16500000000000001344904841271773346377322731608358279149587416973495865302295695283651005423749182273125410589006341886228820085285664162171584512) (/.f64 x (.f64 (/.f64 2 y) a)) (if (<=.f64 z -31999999999999998024265626409023313290464875663107983305421318801243887738387190836378256880125064169652224) (.f64 t (.f64 (/.f64 z a) -9/2)) (if (<=.f64 z 5600106538975211/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424) (/.f64 (.f64 y 1/2) (/.f64 a x)) (.f64 t (*.f64 (/.f64 z a) -9/2))))))
(if (<=.f64 z -759999999999999956437880039375959217189694663589975017884569455250049180353479494056408263809616408250832210579222590166425858511461083149769329870080118722512557103382528) (.f64 (/.f64 t (/.f64 a z)) -9/2) (if (<=.f64 z -16500000000000001344904841271773346377322731608358279149587416973495865302295695283651005423749182273125410589006341886228820085285664162171584512) (/.f64 x (.f64 a (/.f64 2 y))) (if (<=.f64 z -31999999999999998024265626409023313290464875663107983305421318801243887738387190836378256880125064169652224) (.f64 t (.f64 -9/2 (/.f64 z a))) (if (<=.f64 z 5600106538975211/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424) (/.f64 (.f64 y 1/2) (/.f64 a x)) (.f64 t (*.f64 -9/2 (/.f64 z a)))))))
(if (<=.f64 z -759999999999999956437880039375959217189694663589975017884569455250049180353479494056408263809616408250832210579222590166425858511461083149769329870080118722512557103382528) (.f64 t (.f64 (/.f64 z a) -9/2)) (if (<=.f64 z -16500000000000001344904841271773346377322731608358279149587416973495865302295695283651005423749182273125410589006341886228820085285664162171584512) (/.f64 x (.f64 (/.f64 2 y) a)) (if (<=.f64 z -31999999999999998024265626409023313290464875663107983305421318801243887738387190836378256880125064169652224) (.f64 t (.f64 (/.f64 z a) -9/2)) (if (<=.f64 z 5600106538975211/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424) (/.f64 (.f64 y 1/2) (/.f64 a x)) (.f64 t (.f64 (/.f64 z a) -9/2))))))
(if (<=.f64 z -759999999999999956437880039375959217189694663589975017884569455250049180353479494056408263809616408250832210579222590166425858511461083149769329870080118722512557103382528) (.f64 t (.f64 -9/2 (/.f64 z a))) (if (<=.f64 z -16500000000000001344904841271773346377322731608358279149587416973495865302295695283651005423749182273125410589006341886228820085285664162171584512) (/.f64 x (.f64 a (/.f64 2 y))) (if (<=.f64 z -31999999999999998024265626409023313290464875663107983305421318801243887738387190836378256880125064169652224) (.f64 t (.f64 -9/2 (/.f64 z a))) (if (<=.f64 z 5600106538975211/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424) (/.f64 (.f64 y 1/2) (/.f64 a x)) (.f64 t (.f64 -9/2 (/.f64 z a)))))))
(if (<=.f64 t -8173927670004721/69617318994479297159441705409245167921344429126717528237597542082203295398081625160307507496908132931192662194421301381083506846944815643283884602656894137393981852330936660004926669193216) (.f64 z (/.f64 t (/.f64 a -9/2))) (if (<=.f64 t 5496105859582405/60060134630437601839769261564074054890494076748396028293423195126101052500953853663579281588642651046788432153477643700953461525330417946094091687253119241280317815380727220618693026799113163298559838143343221009234642712357476936954116911097916781328596992) (/.f64 (.f64 y 1/2) (/.f64 a x)) (if (<=.f64 t 1535928329004529/118571099379011784113736688648896417641748464297615937576404566024103044751294464) (/.f64 x (.f64 (/.f64 2 y) a)) (if (<=.f64 t 2343565808995660484765598694374649620789548874522372866048) (/.f64 (.f64 y 1/2) (/.f64 a x)) (*.f64 z (/.f64 t (/.f64 a -9/2)))))))
(if (<=.f64 t -8173927670004721/69617318994479297159441705409245167921344429126717528237597542082203295398081625160307507496908132931192662194421301381083506846944815643283884602656894137393981852330936660004926669193216) (.f64 z (/.f64 t (/.f64 a -9/2))) (if (<=.f64 t 5496105859582405/60060134630437601839769261564074054890494076748396028293423195126101052500953853663579281588642651046788432153477643700953461525330417946094091687253119241280317815380727220618693026799113163298559838143343221009234642712357476936954116911097916781328596992) (/.f64 (.f64 y 1/2) (/.f64 a x)) (if (<=.f64 t 1535928329004529/118571099379011784113736688648896417641748464297615937576404566024103044751294464) (/.f64 x (.f64 a (/.f64 2 y))) (if (<=.f64 t 2343565808995660484765598694374649620789548874522372866048) (/.f64 (.f64 y 1/2) (/.f64 a x)) (*.f64 z (/.f64 t (/.f64 a -9/2)))))))
(if (<=.f64 z -759999999999999956437880039375959217189694663589975017884569455250049180353479494056408263809616408250832210579222590166425858511461083149769329870080118722512557103382528) (.f64 z (/.f64 t (/.f64 a -9/2))) (if (<=.f64 z -16500000000000001344904841271773346377322731608358279149587416973495865302295695283651005423749182273125410589006341886228820085285664162171584512) (/.f64 x (.f64 (/.f64 2 y) a)) (if (<=.f64 z -42122091563563365580771097744972934283264) (.f64 z (/.f64 t (/.f64 a -9/2))) (if (<=.f64 z 4371733385488425/150306725297525326584926758194517569752043683130132471725266622178061377607334940381676735896625196994043838464) (/.f64 x (.f64 (/.f64 2 y) a)) (*.f64 z (/.f64 t (/.f64 a -9/2)))))))
(if (<=.f64 z -759999999999999956437880039375959217189694663589975017884569455250049180353479494056408263809616408250832210579222590166425858511461083149769329870080118722512557103382528) (.f64 z (/.f64 t (/.f64 a -9/2))) (if (<=.f64 z -16500000000000001344904841271773346377322731608358279149587416973495865302295695283651005423749182273125410589006341886228820085285664162171584512) (/.f64 x (.f64 a (/.f64 2 y))) (if (<=.f64 z -42122091563563365580771097744972934283264) (.f64 z (/.f64 t (/.f64 a -9/2))) (if (<=.f64 z 4371733385488425/150306725297525326584926758194517569752043683130132471725266622178061377607334940381676735896625196994043838464) (/.f64 x (.f64 a (/.f64 2 y))) (*.f64 z (/.f64 t (/.f64 a -9/2)))))))
(*.f64 z (/.f64 t (/.f64 a -9/2)))

Compiler

Compiled 524 to 337 computations (35.7% saved)

soundness646.0ms (3.8%)

Algorithm

2×	egg-herbie

Rules

1606×	`fma-def_binary64`
1606×	`fma-def_binary64`
595×	`fma-neg_binary64`
595×	`fma-neg_binary64`
466×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	23	1710
1	54	1710
2	137	1710
3	335	1566
4	802	1566
5	1778	1566
6	3553	1566
7	4450	1566
8	5572	1566
9	6169	1566
10	6755	1566
11	6990	1566
12	7909	1566
13	7916	1566
0	23	1710
1	54	1710
2	137	1710
3	335	1566
4	802	1566
5	1778	1566
6	3553	1566
7	4450	1566
8	5572	1566
9	6169	1566
10	6755	1566
11	6990	1566
12	7909	1566
13	7916	1566

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 80 to 64 computations (20% saved)

end375.0ms (2.2%)

Remove: (sort x y)
Compiler: Compiled 863 to 520 computations (39.7% saved)