Details

analyze796.0ms (4.7%)

Algorithm

1×

Search

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

Compiler

Compiled 19 to 14 computations (26.3% saved)

sample2.2s (12.9%)

Results

1.6s	8256×	body	256	valid
550.0ms	3219×	body	256	infinite

Bogosity

preprocess65.0ms (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)

simplify91.0ms (0.5%)

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)

prune2.0ms (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

9.4b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	9.5b	(.f64 1/2 (/.f64 (fma.f64 x y (.f64 z (*.f64 t -9))) a))
▶	9.5b	(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) (.f64 a 2))

Compiler

Compiled 35 to 25 computations (28.6% saved)

localize41.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 1/2 (/.f64 (fma.f64 x y (.f64 z (*.f64 t -9))) a))
✓	0.2b	(.f64 z (.f64 t -9))
✓	0.3b	(fma.f64 x y (.f64 z (.f64 t -9)))
✓	8.9b	(/.f64 (fma.f64 x y (.f64 z (.f64 t -9))) a)

Compiler

Compiled 50 to 28 computations (44% saved)

series30.0ms (0.2%)

Counts

4 → 192

Calls

48 calls:

Time	Variable		Point	Expression
3.0ms	a	@	inf	(/.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	z	@	0	(/.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)

rewrite221.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

668×	`log-prod_binary64`
386×	`pow-prod-down_binary64`
350×	`pow2_binary64`
246×	`pow1/3_binary64`
243×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	49
1	268	49
2	3274	49

Stop Event

1×	node limit

Counts

4 → 113

Calls

Call 1

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

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

simplify156.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

162×	`fma-def_binary64`
101×	`associate-/l*_binary64`
74×	`associate-/r/_binary64`
65×	`associate-l_binary64`
62×	`associate-r_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	22	2592
1	48	2592
2	110	2592
3	227	2592
4	392	2448
5	593	2448
6	699	2448
7	713	2448

Stop Event

1×

saturated

Counts

305 → 133

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

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

localize19.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 z 9) t)
✓	0.3b	(-.f64 (.f64 x y) (.f64 (*.f64 z 9) t))
✓	8.9b	(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) (.f64 a 2))

Compiler

Compiled 48 to 26 computations (45.8% saved)

series18.0ms (0.1%)

Counts

3 → 132

Calls

33 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) (.f64 a 2))
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	@	inf	(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) (.f64 a 2))

rewrite165.0ms (1%)

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
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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))))))

simplify255.0ms (1.5%)

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))

eval363.0ms (2.2%)

Compiler: Compiled 9136 to 5147 computations (43.7% saved)

prune277.0ms (1.6%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	404	17	421
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	406	17	423

Error

0.0b

Counts

423 → 17

Alt Table

Click to see full alt table

Status	Error	Program
▶	6.8b	(.f64 1/2 (fma.f64 -9 (/.f64 z (/.f64 a t)) (.f64 y (/.f64 x a))))
	29.6b	(*.f64 t (/.f64 z (/.f64 a -9/2)))
	31.4b	(/.f64 (.f64 z (.f64 t -9)) (*.f64 a 2))
	34.3b	(.f64 y (.f64 x (/.f64 1/2 a)))
	9.9b	(/.f64 1/2 (/.f64 a (fma.f64 z (.f64 t -9) (.f64 x y))))
	9.8b	(fma.f64 (/.f64 y a) (/.f64 x 2) (neg.f64 (.f64 (.f64 9 (*.f64 z t)) (/.f64 1/2 a))))
	9.5b	(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
▶	9.5b	(-.f64 (.f64 (.f64 x y) (/.f64 1/2 a)) (.f64 (.f64 9 (*.f64 z t)) (/.f64 1/2 a)))
▶	31.4b	(/.f64 (.f64 -9 (.f64 t z)) (*.f64 a 2))
	10.3b	(/.f64 (pow.f64 (cbrt.f64 (fma.f64 x y (.f64 t (.f64 z -9)))) 3) (*.f64 a 2))
	31.5b	(.f64 1/2 (/.f64 (.f64 t (*.f64 z -9)) a))
	30.4b	(.f64 1/2 (.f64 -9 (/.f64 z (/.f64 a t))))
	36.5b	(/.f64 (.f64 y x) (.f64 a 2))
	29.6b	(.f64 t (.f64 z (/.f64 -9/2 a)))
▶	31.5b	(.f64 -9/2 (/.f64 (.f64 t z) a))
	9.5b	(/.f64 (-.f64 (.f64 x y) (.f64 z (.f64 t 9))) (.f64 a 2))
▶	34.2b	(*.f64 y (/.f64 x (/.f64 a 1/2)))

Compiler

Compiled 532 to 394 computations (25.9% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 1/2 (fma.f64 -9 (/.f64 z (/.f64 a t)) (.f64 y (/.f64 x a))))
✓	0.1b	(fma.f64 -9 (/.f64 z (/.f64 a t)) (*.f64 y (/.f64 x a)))
✓	5.1b	(*.f64 y (/.f64 x a))
✓	5.1b	(/.f64 z (/.f64 a t))

Compiler

Compiled 54 to 17 computations (68.5% saved)

series32.0ms (0.2%)

Counts

4 → 192

Calls

48 calls:

Time	Variable		Point	Expression
4.0ms	z	@	0	(/.f64 z (/.f64 a t))
3.0ms	t	@	-inf	(.f64 1/2 (fma.f64 -9 (/.f64 z (/.f64 a t)) (.f64 y (/.f64 x a))))
3.0ms	t	@	inf	(/.f64 z (/.f64 a t))
1.0ms	z	@	inf	(/.f64 z (/.f64 a t))
1.0ms	a	@	-inf	(fma.f64 -9 (/.f64 z (/.f64 a t)) (*.f64 y (/.f64 x a)))

rewrite93.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

800×	`log-prod_binary64`
280×	`pow1/3_binary64`
273×	`expm1-udef_binary64`
273×	`log1p-udef_binary64`
269×	`prod-diff_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	51
1	299	51
2	3978	51

Stop Event

1×	node limit

Counts

4 → 127

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 z (/.f64 t a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (/.f64 t a))) (cbrt.f64 (pow.f64 (exp.f64 z) (/.f64 t a))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (/.f64 t a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (/.f64 t a)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (/.f64 t a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 z (/.f64 t a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 z (/.f64 t a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 t (/.f64 z a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 z (/.f64 t a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 z (/.f64 t a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (/.f64 t a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 z (/.f64 t a))) (pow.f64 (cbrt.f64 (.f64 z (/.f64 t a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 z (/.f64 t a))) 2) (cbrt.f64 (.f64 z (/.f64 t a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (/.f64 t a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 z (/.f64 t a))) (sqrt.f64 (.f64 z (/.f64 t a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 z) (/.f64 1 (/.f64 (neg.f64 a) t)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 t a) z)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 a) (/.f64 z (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 z a) t)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) 1) (/.f64 (cbrt.f64 z) (/.f64 a t)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 z) 1) (/.f64 (sqrt.f64 z) (/.f64 a t)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 z) a) (/.f64 (sqrt.f64 z) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) a) (/.f64 (cbrt.f64 z) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 a t)) 2)) (/.f64 z (cbrt.f64 (/.f64 a t))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 (cbrt.f64 (/.f64 a t)) 2)) (cbrt.f64 (.f64 z (/.f64 t a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 (/.f64 a t)) 2)) (/.f64 (sqrt.f64 z) (cbrt.f64 (/.f64 a t))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (/.f64 a t))) (/.f64 z (sqrt.f64 (/.f64 a t))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (sqrt.f64 (/.f64 a t))) (/.f64 (cbrt.f64 z) (sqrt.f64 (/.f64 a t))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 z 1) (/.f64 t a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 z (neg.f64 a)) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 z a) 1) t)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 z a) (cbrt.f64 (.f64 t t))) (cbrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 z a) (sqrt.f64 t)) (sqrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 z (/.f64 t a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 z (/.f64 t a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 z (/.f64 t a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 z (/.f64 t a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (.f64 z t)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 z 3) (pow.f64 (/.f64 a t) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 a (.f64 z t)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 z (/.f64 (neg.f64 a) t)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 z (/.f64 t a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (/.f64 t a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 z (/.f64 t a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 z (/.f64 t a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 z 3) (pow.f64 (/.f64 a t) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 z (/.f64 t a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 z (/.f64 t a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 z (/.f64 t a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (*.f64 z (/.f64 t a))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 y (/.f64 x a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x a)) y)) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x a)) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x a)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 x a)) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 x a)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 y (/.f64 x a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 a x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a (.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 y x) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 y x)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 y x) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 y x) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 y x) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 x) y) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 y (neg.f64 x)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 y (/.f64 x a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 y (/.f64 x a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 y (/.f64 x a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 y (/.f64 x a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 y 3) (pow.f64 (/.f64 x a) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (/.f64 x a) 3) (pow.f64 y 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (.f64 y x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 y (/.f64 x a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 x a)) y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 y (/.f64 x a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 y (/.f64 x a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 y 3) (pow.f64 (/.f64 x a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (/.f64 x a) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 y (/.f64 x a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 y (/.f64 x a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 y (/.f64 x a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 y (/.f64 x a))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 y (/.f64 x a)) (.f64 (.f64 z (/.f64 t a)) -9))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 z (/.f64 t a)) -9) (.f64 y (/.f64 x a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (.f64 z (/.f64 t a)) -9 (.f64 y (/.f64 x a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (.f64 z (/.f64 t a)) -9) 1) (.f64 y (/.f64 x a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (fma.f64 (.f64 z (/.f64 t a)) -9 (.f64 y (/.f64 x a))))) (cbrt.f64 (exp.f64 (fma.f64 (.f64 z (/.f64 t a)) -9 (.f64 y (/.f64 x a))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (.f64 z (/.f64 t a)) -9 (.f64 y (/.f64 x a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (.f64 z (/.f64 t a)) -9 (.f64 y (/.f64 x a)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (.f64 z (/.f64 t a)) -9 (.f64 y (/.f64 x a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 z (/.f64 t a)) -9 (.f64 y (/.f64 x a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (.f64 z (/.f64 t a)) -9 (.f64 y (/.f64 x a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 (.f64 z (/.f64 t a)) -9 (.f64 y (/.f64 x a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 (.f64 z (/.f64 t a)) -9 (.f64 y (/.f64 x a)))) (pow.f64 (cbrt.f64 (fma.f64 (.f64 z (/.f64 t a)) -9 (.f64 y (/.f64 x a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 z (/.f64 t a)) -9 (.f64 y (/.f64 x a)))) 2) (cbrt.f64 (fma.f64 (.f64 z (/.f64 t a)) -9 (.f64 y (/.f64 x a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 (.f64 z (/.f64 t a)) -9 (.f64 y (/.f64 x a)))) (sqrt.f64 (fma.f64 (.f64 z (/.f64 t a)) -9 (.f64 y (/.f64 x a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 (.f64 z (/.f64 t a)) -9) 3) (pow.f64 (.f64 y (/.f64 x a)) 3)) (fma.f64 (.f64 (.f64 z (/.f64 t a)) -9) (.f64 (.f64 z (/.f64 t a)) -9) (-.f64 (pow.f64 (.f64 y (/.f64 x a)) 2) (.f64 (.f64 (.f64 z (/.f64 t a)) -9) (.f64 y (/.f64 x a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 (.f64 z (/.f64 t a)) -9) (.f64 (.f64 z (/.f64 t a)) -9)) (pow.f64 (.f64 y (/.f64 x a)) 2)) (-.f64 (.f64 (.f64 z (/.f64 t a)) -9) (.f64 y (/.f64 x a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (.f64 z (/.f64 t a)) -9 (.f64 y (/.f64 x a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (.f64 z (/.f64 t a)) -9 (.f64 y (/.f64 x a))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (.f64 z (/.f64 t a)) -9 (.f64 y (/.f64 x a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (.f64 z (/.f64 t a)) -9 (.f64 y (/.f64 x a)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (.f64 z (/.f64 t a)) -9 (.f64 y (/.f64 x a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (.f64 z (/.f64 t a)) -9 (.f64 y (/.f64 x a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (.f64 z (/.f64 t a)) -9 (.f64 y (/.f64 x a))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (pow.f64 (exp.f64 (/.f64 x a)) y) (exp.f64 (.f64 (.f64 z (/.f64 t a)) -9))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 y (/.f64 x a)))) (exp.f64 (.f64 (.f64 z (/.f64 t a)) -9))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (.f64 (.f64 z (/.f64 t a)) -9)) (+.f64 1 (expm1.f64 (.f64 y (/.f64 x a))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (.f64 z (/.f64 t a)) -9 (.f64 y (/.f64 x a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (.f64 z (/.f64 t a)) -9 (.f64 y (/.f64 x a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (.f64 z (/.f64 t a)) -9 (.f64 y (/.f64 x a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (.f64 z (/.f64 t a)) -9 (.f64 y (/.f64 x a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 (.f64 z (/.f64 t a)) -9 (*.f64 y (/.f64 x a)))) 1))))))
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simplify172.0ms (1%)

Algorithm

1×	egg-herbie

Rules

894×	`fma-neg_binary64`
503×	`associate-/l*_binary64`
416×	`cancel-sign-sub-inv_binary64`
326×	`associate-/r/_binary64`
311×	`associate-/r*_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	31	2502
1	73	2502
2	186	2502
3	448	2502
4	1009	2214
5	2387	2214
6	5262	2214
7	7091	2214
8	7625	2214

Stop Event

1×	node limit

Counts

319 → 143

Calls

Call 1

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 -9/2 (/.f64 (.f64 t z) a))
✓	6.8b	(/.f64 (*.f64 t z) a)

Compiler

Compiled 24 to 10 computations (58.3% saved)

series7.0ms (0%)

Counts

2 → 0

Calls

18 calls:

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

rewrite72.0ms (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))))))))

simplify9.0ms (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

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 24 to 15 computations (37.5% saved)

series4.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite83.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

941×	`pow1_binary64`
878×	`add-log-exp_binary64`
878×	`log1p-expm1-u_binary64`
878×	`expm1-log1p-u_binary64`
860×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	176	10
2	2365	10

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

Outputs

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

simplify24.0ms (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)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 -9 (.f64 t z))
✓	6.7b	(/.f64 (.f64 -9 (.f64 t z)) (*.f64 a 2))

Compiler

Compiled 30 to 17 computations (43.3% saved)

series4.0ms (0%)

Counts

2 → 36

Calls

15 calls:

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

rewrite78.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

639×	`log-prod_binary64`
507×	`exp-prod_binary64`
303×	`pow-prod-down_binary64`
277×	`pow2_binary64`
217×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	214	17
2	2930	17

Stop Event

1×	node limit

Counts

2 → 98

Calls

Call 1

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

Outputs

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

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

simplify21.0ms (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

134 → 99

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)

localize42.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 (.f64 x y) (/.f64 1/2 a)) (.f64 (.f64 9 (*.f64 z t)) (/.f64 1/2 a)))
✓	0.2b	(.f64 9 (.f64 z t))
✓	6.8b	(.f64 (.f64 9 (*.f64 z t)) (/.f64 1/2 a))
✓	6.9b	(.f64 (.f64 x y) (/.f64 1/2 a))

Compiler

Compiled 59 to 30 computations (49.2% saved)

series14.0ms (0.1%)

Counts

4 → 156

Calls

39 calls:

Time	Variable		Point	Expression
2.0ms	t	@	inf	(-.f64 (.f64 (.f64 x y) (/.f64 1/2 a)) (.f64 (.f64 9 (*.f64 z t)) (/.f64 1/2 a)))
0.0ms	x	@	0	(-.f64 (.f64 (.f64 x y) (/.f64 1/2 a)) (.f64 (.f64 9 (*.f64 z t)) (/.f64 1/2 a)))
0.0ms	a	@	inf	(-.f64 (.f64 (.f64 x y) (/.f64 1/2 a)) (.f64 (.f64 9 (*.f64 z t)) (/.f64 1/2 a)))
0.0ms	a	@	0	(.f64 (.f64 9 (*.f64 z t)) (/.f64 1/2 a))
0.0ms	z	@	0	(-.f64 (.f64 (.f64 x y) (/.f64 1/2 a)) (.f64 (.f64 9 (*.f64 z t)) (/.f64 1/2 a)))

rewrite214.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

941×	`log-prod_binary64`
630×	`fma-def_binary64`
327×	`fma-neg_binary64`
303×	`expm1-udef_binary64`
303×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	49
1	339	44
2	4662	44

Stop Event

1×	node limit

Counts

4 → 336

Calls

Call 1

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

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

simplify349.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	1968
1	78	1824
2	201	1824
3	550	1824
4	1413	1824
5	3038	1824
6	4491	1824
7	5277	1824
8	5730	1824
9	5964	1824
10	6123	1824
11	6149	1824
12	6167	1824
13	6369	1824
14	6993	1824
15	6993	1824

Stop Event

1×

saturated

Counts

492 → 348

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

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

eval329.0ms (1.9%)

Compiler: Compiled 15255 to 8066 computations (47.1% saved)

prune144.0ms (0.9%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	666	12	678
Fresh	8	4	12
Picked	1	0	1
Done	3	1	4
Total	678	17	695

Error

Counts

695 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	34.3b	(.f64 y (.f64 x (/.f64 1/2 a)))
	9.8b	(fma.f64 (/.f64 y a) (/.f64 x 2) (neg.f64 (.f64 (.f64 9 (*.f64 z t)) (/.f64 1/2 a))))
	36.5b	(/.f64 (/.f64 (*.f64 y x) a) 2)
▶	30.2b	(.f64 -9/2 (.f64 (/.f64 t a) z))
	9.5b	(-.f64 (.f64 (.f64 x y) (/.f64 1/2 a)) (/.f64 (.f64 (.f64 z t) 9/2) a))
▶	6.7b	(.f64 1/2 (+.f64 (.f64 (.f64 z (/.f64 t a)) -9) (.f64 y (/.f64 x a))))
▶	29.6b	(.f64 -9/2 (.f64 (/.f64 t 1) (/.f64 z a)))
	9.5b	(/.f64 (-.f64 (.f64 x y) (.f64 z (.f64 t 9))) (.f64 a 2))
▶	34.2b	(/.f64 y (/.f64 a (/.f64 x 2)))
	31.4b	(/.f64 (.f64 t (.f64 -9/2 z)) a)
	52.8b	(/.f64 (/.f64 (.f64 y x) (sqrt.f64 (.f64 a 2))) (sqrt.f64 (*.f64 a 2)))
✓	34.2b	(*.f64 y (/.f64 x (/.f64 a 1/2)))
	29.6b	(.f64 t (.f64 z (/.f64 -9/2 a)))
	36.5b	(/.f64 1 (/.f64 (.f64 a 2) (.f64 y x)))
▶	9.9b	(+.f64 (/.f64 (neg.f64 (.f64 (.f64 z t) 9/2)) a) (.f64 x (.f64 y (/.f64 1/2 a))))
	31.8b	(/.f64 -9/2 (/.f64 a (*.f64 t z)))
	30.1b	(/.f64 (*.f64 t -9/2) (/.f64 a z))

Compiler

Compiled 498 to 369 computations (25.9% saved)

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (.f64 z (/.f64 t a)) -9) (*.f64 y (/.f64 x a)))
✓	0.3b	(.f64 (.f64 z (/.f64 t a)) -9)
✓	5.0b	(*.f64 z (/.f64 t a))
	5.1b	(*.f64 y (/.f64 x a))

Compiler

Compiled 63 to 21 computations (66.7% saved)

series18.0ms (0.1%)

Counts

3 → 132

Calls

33 calls:

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

rewrite92.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

790×	`log-prod_binary64`
385×	`pow2_binary64`
382×	`fma-def_binary64`
270×	`pow1/3_binary64`
263×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	34
1	284	34
2	3991	34

Stop Event

1×	node limit

Counts

3 → 122

Calls

Call 1

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

Outputs

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

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

simplify189.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

641×	`fma-neg_binary64`
471×	`fma-def_binary64`
256×	`cancel-sign-sub-inv_binary64`
192×	`associate-/l*_binary64`
160×	`unsub-neg_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	23	1530
1	51	1530
2	117	1530
3	233	1530
4	445	1386
5	877	1386
6	2338	1386
7	3016	1386
8	3399	1386
9	3595	1386
10	3770	1386
11	3790	1386
12	3790	1386

Stop Event

1×

saturated

Counts

254 → 132

Calls

Call 1

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

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

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 -9/2 (.f64 (/.f64 t a) z))
✓	5.0b	(*.f64 (/.f64 t a) z)

Compiler

Compiled 24 to 10 computations (58.3% saved)

series6.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite92.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

874×	`pow1_binary64`
810×	`add-log-exp_binary64`
810×	`log1p-expm1-u_binary64`
810×	`expm1-log1p-u_binary64`
793×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	168	17
2	2159	17

Stop Event

1×	node limit

Counts

2 → 36

Calls

Call 1

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

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

simplify43.0ms (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	612
1	14	612
2	29	612
3	56	612
4	86	612
5	97	612

Stop Event

1×

saturated

Counts

108 → 39

Calls

Call 1

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

localize41.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.3b	(/.f64 y (/.f64 a (/.f64 x 2)))

Compiler

Compiled 24 to 15 computations (37.5% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite68.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

519×	`log-prod_binary64`
408×	`exp-prod_binary64`
294×	`prod-exp_binary64`
258×	`pow-prod-down_binary64`
237×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	182	10
2	2646	10

Stop Event

1×	node limit

Counts

1 → 68

Calls

Call 1

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

Outputs

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

simplify21.0ms (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

104 → 70

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)

localize41.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 -9/2 (.f64 (/.f64 t 1) (/.f64 z a)))
✓	5.3b	(*.f64 (/.f64 t 1) (/.f64 z a))

Compiler

Compiled 32 to 18 computations (43.8% saved)

series5.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite70.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

964×	`pow1_binary64`
894×	`add-log-exp_binary64`
894×	`log1p-expm1-u_binary64`
894×	`expm1-log1p-u_binary64`
93×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	17
1	213	17
2	2426	17

Stop Event

1×	node limit

Counts

2 → 62

Calls

Call 1

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

Outputs

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

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

simplify32.0ms (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	612
1	14	612
2	29	612
3	56	612
4	86	612
5	97	612

Stop Event

1×

saturated

Counts

134 → 65

Calls

Call 1

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

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 z t) 9/2)
✓	0.2b	(*.f64 y (/.f64 1/2 a))
✓	6.3b	(.f64 x (.f64 y (/.f64 1/2 a)))
✓	6.7b	(/.f64 (neg.f64 (.f64 (.f64 z t) 9/2)) a)

Compiler

Compiled 65 to 35 computations (46.2% saved)

series14.0ms (0.1%)

Counts

4 → 120

Calls

30 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	(*.f64 y (/.f64 1/2 a))
1.0ms	a	@	inf	(.f64 x (.f64 y (/.f64 1/2 a)))
1.0ms	a	@	0	(*.f64 y (/.f64 1/2 a))
1.0ms	y	@	inf	(.f64 x (.f64 y (/.f64 1/2 a)))
1.0ms	a	@	inf	(*.f64 y (/.f64 1/2 a))

rewrite93.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

837×	`log-prod_binary64`
383×	`pow2_binary64`
273×	`pow1/3_binary64`
269×	`expm1-udef_binary64`
269×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	34
1	324	34
2	4295	34

Stop Event

1×	node limit

Counts

4 → 138

Calls

Call 1

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

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

simplify375.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

32×	`*-commutative_binary64`
30×	`associate-/l*_binary64`
21×	`associate-r_binary64`
20×	`associate-l_binary64`
20×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	1056
1	36	1056
2	73	1056
3	125	1056
4	178	1056
5	199	1056

Stop Event

1×

saturated

Counts

258 → 145

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 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))
(*.f64 1/2 (/.f64 y a))
(*.f64 1/2 (/.f64 y a))
(*.f64 1/2 (/.f64 y a))
(*.f64 1/2 (/.f64 y a))
(*.f64 1/2 (/.f64 y a))
(*.f64 1/2 (/.f64 y a))
(*.f64 1/2 (/.f64 y a))
(*.f64 1/2 (/.f64 y a))
(*.f64 1/2 (/.f64 y a))
(*.f64 1/2 (/.f64 y a))
(*.f64 1/2 (/.f64 y a))
(*.f64 1/2 (/.f64 y a))
(*.f64 1/2 (/.f64 y a))
(*.f64 1/2 (/.f64 y a))
(*.f64 1/2 (/.f64 y a))
(*.f64 1/2 (/.f64 y a))
(*.f64 1/2 (/.f64 y a))
(*.f64 1/2 (/.f64 y a))
(*.f64 1/2 (/.f64 y a))
(*.f64 1/2 (/.f64 y a))
(*.f64 1/2 (/.f64 y a))
(*.f64 1/2 (/.f64 y a))
(*.f64 1/2 (/.f64 y a))
(*.f64 1/2 (/.f64 y 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 -9/2 (.f64 (/.f64 t a) z))
(.f64 (/.f64 t a) (.f64 -9/2 z))
(*.f64 -9/2 (/.f64 z (/.f64 a t)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(.f64 -9/2 (.f64 (/.f64 t a) z))
(.f64 (/.f64 t a) (.f64 -9/2 z))
(*.f64 -9/2 (/.f64 z (/.f64 a t)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(.f64 -9/2 (.f64 (/.f64 t a) z))
(.f64 (/.f64 t a) (.f64 -9/2 z))
(*.f64 -9/2 (/.f64 z (/.f64 a t)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(.f64 -9/2 (.f64 (/.f64 t a) z))
(.f64 (/.f64 t a) (.f64 -9/2 z))
(*.f64 -9/2 (/.f64 z (/.f64 a t)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(.f64 -9/2 (.f64 (/.f64 t a) z))
(.f64 (/.f64 t a) (.f64 -9/2 z))
(*.f64 -9/2 (/.f64 z (/.f64 a t)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(.f64 -9/2 (.f64 (/.f64 t a) z))
(.f64 (/.f64 t a) (.f64 -9/2 z))
(*.f64 -9/2 (/.f64 z (/.f64 a t)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(.f64 -9/2 (.f64 (/.f64 t a) z))
(.f64 (/.f64 t a) (.f64 -9/2 z))
(*.f64 -9/2 (/.f64 z (/.f64 a t)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(.f64 -9/2 (.f64 (/.f64 t a) z))
(.f64 (/.f64 t a) (.f64 -9/2 z))
(*.f64 -9/2 (/.f64 z (/.f64 a t)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(.f64 -9/2 (.f64 (/.f64 t a) z))
(.f64 (/.f64 t a) (.f64 -9/2 z))
(*.f64 -9/2 (/.f64 z (/.f64 a t)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(.f64 -9/2 (.f64 (/.f64 t a) z))
(.f64 (/.f64 t a) (.f64 -9/2 z))
(*.f64 -9/2 (/.f64 z (/.f64 a t)))
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eval148.0ms (0.9%)

Compiler: Compiled 8070 to 4246 computations (47.4% saved)

prune92.0ms (0.5%)

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	478	4	482
Fresh	5	6	11
Picked	1	0	1
Done	1	4	5
Total	485	14	499

Error

Counts

499 → 14

Alt Table

Click to see full alt table

Status	Error	Program
▶	36.5b	(/.f64 (/.f64 (*.f64 y x) a) 2)
✓	30.2b	(.f64 -9/2 (.f64 (/.f64 t a) z))
	9.5b	(-.f64 (.f64 (.f64 x y) (/.f64 1/2 a)) (/.f64 (.f64 (.f64 z t) 9/2) a))
✓	6.7b	(.f64 1/2 (+.f64 (.f64 (.f64 z (/.f64 t a)) -9) (.f64 y (/.f64 x a))))
	36.5b	(*.f64 (/.f64 1 a) (/.f64 y (/.f64 2 x)))
▶	29.9b	(*.f64 -9/2 (/.f64 t (/.f64 a z)))
▶	34.3b	(.f64 y (.f64 x (/.f64 1/2 a)))
	29.6b	(.f64 t (.f64 z (/.f64 -9/2 a)))
▶	9.5b	(/.f64 (-.f64 (.f64 x y) (.f64 z (.f64 t 9))) (.f64 a 2))
	35.7b	(.f64 (/.f64 y a) (.f64 x 1/2))
	31.4b	(/.f64 (.f64 (.f64 t -9/2) z) a)
✓	34.2b	(/.f64 y (/.f64 a (/.f64 x 2)))
✓	34.2b	(*.f64 y (/.f64 x (/.f64 a 1/2)))
▶	31.8b	(/.f64 -9/2 (/.f64 a (*.f64 t z)))

Compiler

Compiled 328 to 243 computations (25.9% saved)

localize19.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 z (.f64 t 9))
✓	0.3b	(-.f64 (.f64 x y) (.f64 z (*.f64 t 9)))
✓	8.9b	(/.f64 (-.f64 (.f64 x y) (.f64 z (.f64 t 9))) (.f64 a 2))

Compiler

Compiled 48 to 26 computations (45.8% saved)

series10.0ms (0.1%)

Counts

3 → 132

Calls

33 calls:

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

rewrite152.0ms (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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(*.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))))))

simplify349.0ms (2.1%)

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)))
(*.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)))
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(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))

localize32.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 -9/2 (/.f64 t (/.f64 a z)))
✓	5.9b	(/.f64 t (/.f64 a z))

Compiler

Compiled 24 to 10 computations (58.3% saved)

series10.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	a	@	inf	(*.f64 -9/2 (/.f64 t (/.f64 a z)))
1.0ms	t	@	0	(/.f64 t (/.f64 a z))
0.0ms	a	@	-inf	(*.f64 -9/2 (/.f64 t (/.f64 a z)))
0.0ms	a	@	0	(/.f64 t (/.f64 a z))
0.0ms	t	@	0	(*.f64 -9/2 (/.f64 t (/.f64 a z)))

rewrite122.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

978×	`pow1_binary64`
911×	`add-log-exp_binary64`
911×	`log1p-expm1-u_binary64`
911×	`expm1-log1p-u_binary64`
89×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	174	17
2	2412	17

Stop Event

1×	node limit

Counts

2 → 64

Calls

Call 1

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

Outputs

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

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

simplify52.0ms (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	612
1	14	612
2	29	612
3	56	612
4	86	612
5	97	612

Stop Event

1×

saturated

Counts

136 → 67

Calls

Call 1

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

localize21.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 x (/.f64 1/2 a))
✓	5.1b	(.f64 y (.f64 x (/.f64 1/2 a)))

Compiler

Compiled 24 to 15 computations (37.5% saved)

series25.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
14.0ms	a	@	0	(*.f64 x (/.f64 1/2 a))
1.0ms	y	@	inf	(.f64 y (.f64 x (/.f64 1/2 a)))
1.0ms	x	@	0	(*.f64 x (/.f64 1/2 a))
1.0ms	a	@	inf	(*.f64 x (/.f64 1/2 a))
1.0ms	a	@	-inf	(*.f64 x (/.f64 1/2 a))

rewrite88.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

835×	`pow1_binary64`
772×	`add-log-exp_binary64`
772×	`log1p-expm1-u_binary64`
772×	`expm1-log1p-u_binary64`
756×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	169	17
2	2100	17

Stop Event

1×	node limit

Counts

2 → 41

Calls

Call 1

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

Outputs

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

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

simplify47.0ms (0.3%)

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

101 → 44

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

localize17.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.8b	(/.f64 -9/2 (/.f64 a (*.f64 t z)))
✓	6.8b	(/.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
2.0ms	a	@	0	(/.f64 a (*.f64 t z))
1.0ms	a	@	-inf	(/.f64 a (*.f64 t z))
1.0ms	a	@	inf	(/.f64 a (*.f64 t z))
1.0ms	t	@	0	(/.f64 a (*.f64 t z))
1.0ms	z	@	0	(/.f64 a (*.f64 t z))

rewrite92.0ms (0.5%)

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))))))))

simplify38.0ms (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

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)

localize18.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	6.9b	(/.f64 (*.f64 y x) a)

Compiler

Compiled 24 to 10 computations (58.3% saved)

series5.0ms (0%)

Counts

1 → 0

Calls

9 calls:

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

rewrite78.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

712×	`pow1_binary64`
659×	`add-log-exp_binary64`
659×	`log1p-expm1-u_binary64`
659×	`expm1-log1p-u_binary64`
644×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	125	7
2	1731	7

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

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

Outputs

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

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

41 → 41

Calls

Call 1

Inputs

Outputs

eval224.0ms (1.3%)

Compiler: Compiled 9312 to 4949 computations (46.9% saved)

prune97.0ms (0.6%)

Pruning

16 alts after pruning (7 fresh and 9 done)

	Pruned	Kept	Total
New	509	4	513
Fresh	2	3	5
Picked	0	1	1
Done	0	8	8
Total	511	16	527

Error

Counts

527 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	29.6b	(.f64 (.f64 (/.f64 -9/2 a) z) t)
✓	29.9b	(*.f64 -9/2 (/.f64 t (/.f64 a z)))
	35.7b	(/.f64 (*.f64 (/.f64 y a) x) 2)
✓	36.5b	(/.f64 (/.f64 (*.f64 y x) a) 2)
✓	30.2b	(.f64 -9/2 (.f64 (/.f64 t a) z))
	31.5b	(.f64 -9/2 (.f64 (/.f64 1 a) (/.f64 t (/.f64 1 z))))
	36.5b	(/.f64 (.f64 (/.f64 1 a) (.f64 y x)) 2)
	9.5b	(-.f64 (.f64 (.f64 x y) (/.f64 1/2 a)) (/.f64 (.f64 (.f64 z t) 9/2) a))
✓	6.7b	(.f64 1/2 (+.f64 (.f64 (.f64 z (/.f64 t a)) -9) (.f64 y (/.f64 x a))))
	36.5b	(*.f64 (/.f64 1 a) (/.f64 y (/.f64 2 x)))
✓	34.3b	(.f64 y (.f64 x (/.f64 1/2 a)))
✓	9.5b	(/.f64 (-.f64 (.f64 x y) (.f64 z (.f64 t 9))) (.f64 a 2))
	31.4b	(/.f64 (.f64 (.f64 t -9/2) z) a)
✓	34.2b	(/.f64 y (/.f64 a (/.f64 x 2)))
✓	34.2b	(*.f64 y (/.f64 x (/.f64 a 1/2)))
✓	31.8b	(/.f64 -9/2 (/.f64 a (*.f64 t z)))

Compiler

Compiled 222 to 166 computations (25.2% saved)

regimes849.0ms (5%)

Counts

39 → 3

Calls

Call 1

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

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

Calls

15 calls:

91.0ms	y
75.0ms	(*.f64 a 2)
72.0ms	a
72.0ms	(*.f64 a 2)
57.0ms	x

Results

Error	Segments	Branch
4.3b	3	`x`
3.9b	4	`y`
5.0b	2	`z`
4.3b	3	`t`
3.9b	3	`a`
1.0b	3	`(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) (.f64 a 2))`
1.0b	3	`(-.f64 (.f64 x y) (.f64 (*.f64 z 9) t))`
3.7b	3	`(*.f64 x y)`
3.7b	3	`(*.f64 x y)`
3.4b	3	`(.f64 (.f64 z 9) t)`
3.4b	3	`(.f64 (.f64 z 9) t)`
5.0b	2	`(*.f64 z 9)`
5.0b	2	`(*.f64 z 9)`
3.9b	3	`(*.f64 a 2)`
3.9b	3	`(*.f64 a 2)`

Compiler

Compiled 524 to 324 computations (38.2% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.4085589047494e+244	1.0847722029935713e+249
0.0ms	-4.04571703524709e+175	-2.7528551783158362e+174

Compiler

Compiled 26 to 20 computations (23.1% saved)

regimes767.0ms (4.5%)

Counts

35 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

15 calls:

79.0ms	y
68.0ms	(*.f64 a 2)
67.0ms	a
66.0ms	(*.f64 a 2)
56.0ms	(.f64 (.f64 z 9) t)

Results

Error	Segments	Branch
4.4b	3	`x`
3.9b	4	`y`
5.0b	2	`z`
4.4b	3	`t`
3.9b	3	`a`
1.0b	3	`(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) (.f64 a 2))`
1.0b	3	`(-.f64 (.f64 x y) (.f64 (*.f64 z 9) t))`
3.7b	3	`(*.f64 x y)`
3.7b	3	`(*.f64 x y)`
3.4b	3	`(.f64 (.f64 z 9) t)`
3.4b	3	`(.f64 (.f64 z 9) t)`
5.0b	2	`(*.f64 z 9)`
5.0b	2	`(*.f64 z 9)`
3.9b	3	`(*.f64 a 2)`
3.9b	3	`(*.f64 a 2)`

Compiler

Compiled 465 to 293 computations (37% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5.550109530430965e+289	1.022119695201699e+297
0.0ms	-inf	-3.4120294762011274e+307

Compiler

Compiled 26 to 20 computations (23.1% saved)

regimes405.0ms (2.4%)

Counts

29 → 3

Calls

Call 1

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

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

Calls

14 calls:

36.0ms	(-.f64 (.f64 x y) (.f64 (*.f64 z 9) t))
33.0ms	(.f64 (.f64 z 9) t)
33.0ms	(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) (.f64 a 2))
33.0ms	(*.f64 x y)
32.0ms	(*.f64 x y)

Results

Error	Segments	Branch
9.5b	1	`x`
7.7b	2	`y`
7.7b	2	`z`
8.4b	2	`t`
9.5b	1	`a`
4.4b	3	`(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) (.f64 a 2))`
3.9b	3	`(-.f64 (.f64 x y) (.f64 (*.f64 z 9) t))`
5.7b	3	`(*.f64 x y)`
5.7b	3	`(*.f64 x y)`
4.7b	3	`(.f64 (.f64 z 9) t)`
4.7b	3	`(.f64 (.f64 z 9) t)`
7.7b	2	`(*.f64 z 9)`
7.7b	2	`(*.f64 z 9)`
9.5b	1	`(*.f64 a 2)`

Compiler

Compiled 370 to 242 computations (34.6% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	8.624292005871127e+293	+inf
0.0ms	-inf	-3.818173838883842e+301

Compiler

Compiled 26 to 20 computations (23.1% saved)

regimes604.0ms (3.6%)

Counts

26 → 5

Calls

Call 1

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

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

Calls

7 calls:

116.0ms	z
101.0ms	t
88.0ms	(*.f64 a 2)
84.0ms	(*.f64 a 2)
82.0ms	a

Results

Error	Segments	Branch
19.6b	5	`x`
19.8b	5	`y`
18.7b	9	`z`
18.0b	5	`t`
22.5b	7	`a`
22.5b	7	`(*.f64 a 2)`
22.5b	7	`(*.f64 a 2)`

Compiler

Compiled 253 to 161 computations (36.4% saved)

bsearch103.0ms (0.6%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
27.0ms	426638915198.51843	1720129411687.9587
25.0ms	4.6895457389654756e-39	8.045938015157444e-32
26.0ms	1.8016239397804074e-95	5.8146471856509514e-95
25.0ms	-1.906795633342993e-156	-6.392072970018356e-159

Compiler

Compiled 26 to 20 computations (23.1% saved)

regimes519.0ms (3.1%)

Counts

24 → 7

Calls

Call 1

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

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

Calls

7 calls:

95.0ms	z
79.0ms	t
79.0ms	a
75.0ms	(*.f64 a 2)
74.0ms	(*.f64 a 2)

Results

Error	Segments	Branch
19.6b	5	`x`
19.8b	5	`y`
18.7b	9	`z`
16.6b	7	`t`
22.5b	7	`a`
22.5b	7	`(*.f64 a 2)`
22.5b	7	`(*.f64 a 2)`

Compiler

Compiled 233 to 147 computations (36.9% saved)

bsearch111.0ms (0.7%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
5.0ms	5.117547789437682e+282	2.356643129591393e+285
7.0ms	1.8123412676925438e+201	3.0114689791184716e+202
27.0ms	426638915198.51843	1720129411687.9587
24.0ms	4.6895457389654756e-39	8.045938015157444e-32
24.0ms	1.8016239397804074e-95	5.8146471856509514e-95
24.0ms	-1.906795633342993e-156	-6.392072970018356e-159

Compiler

Compiled 78 to 60 computations (23.1% saved)

regimes325.0ms (1.9%)

Counts

16 → 7

Calls

Call 1

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

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

Calls

6 calls:

71.0ms	z
57.0ms	(*.f64 a 2)
54.0ms	t
53.0ms	a
42.0ms	x

Results

Error	Segments	Branch
19.6b	5	`x`
19.9b	5	`y`
18.7b	9	`z`
16.6b	7	`t`
22.5b	7	`a`
22.5b	7	`(*.f64 a 2)`

Compiler

Compiled 155 to 97 computations (37.4% saved)

bsearch192.0ms (1.1%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
10.0ms	5.117547789437682e+282	2.356643129591393e+285
14.0ms	1.8123412676925438e+201	3.0114689791184716e+202
44.0ms	426638915198.51843	1720129411687.9587
43.0ms	4.6895457389654756e-39	8.045938015157444e-32
44.0ms	1.8016239397804074e-95	5.8146471856509514e-95
36.0ms	-1.906795633342993e-156	-6.392072970018356e-159

Compiler

Compiled 78 to 60 computations (23.1% saved)

regimes424.0ms (2.5%)

Counts

15 → 7

Calls

Call 1

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

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

Calls

6 calls:

110.0ms	(*.f64 a 2)
105.0ms	a
66.0ms	z
63.0ms	t
37.0ms	y

Results

Error	Segments	Branch
19.6b	5	`x`
19.9b	5	`y`
18.7b	9	`z`
16.6b	7	`t`
22.5b	7	`a`
22.5b	7	`(*.f64 a 2)`

Compiler

Compiled 148 to 94 computations (36.5% saved)

bsearch113.0ms (0.7%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
5.0ms	5.117547789437682e+282	2.356643129591393e+285
7.0ms	1.8123412676925438e+201	3.0114689791184716e+202
25.0ms	426638915198.51843	1720129411687.9587
24.0ms	4.6895457389654756e-39	8.045938015157444e-32
26.0ms	1.8016239397804074e-95	5.8146471856509514e-95
26.0ms	-1.906795633342993e-156	-6.392072970018356e-159

Compiler

Compiled 78 to 60 computations (23.1% saved)

regimes187.0ms (1.1%)

Counts

10 → 5

Calls

Call 1

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

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

Calls

5 calls:

52.0ms	z
43.0ms	a
30.0ms	x
29.0ms	t
28.0ms	y

Results

Error	Segments	Branch
19.6b	5	`x`
19.9b	5	`y`
18.7b	9	`z`
18.0b	5	`t`
22.5b	7	`a`

Compiler

Compiled 105 to 69 computations (34.3% saved)

bsearch100.0ms (0.6%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
24.0ms	426638915198.51843	1720129411687.9587
25.0ms	4.6895457389654756e-39	8.045938015157444e-32
25.0ms	1.8016239397804074e-95	5.8146471856509514e-95
25.0ms	-1.906795633342993e-156	-6.392072970018356e-159

Compiler

Compiled 26 to 20 computations (23.1% saved)

regimes188.0ms (1.1%)

Counts

7 → 9

Calls

Call 1

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

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

Calls

5 calls:

57.0ms	a
42.0ms	z
34.0ms	y
27.0ms	t
24.0ms	x

Results

Error	Segments	Branch
20.7b	5	`x`
19.4b	7	`y`
18.8b	9	`z`
18.8b	5	`t`
22.9b	7	`a`

Compiler

Compiled 84 to 57 computations (32.1% saved)

bsearch276.0ms (1.6%)

Algorithm

8×	binary-search

Steps

Time	Left	Right
24.0ms	1.7817797922750637e-147	3.058826643659987e-135
23.0ms	7.118634105368095e-183	5.659695848233452e-182
24.0ms	6.2585830831467165e-223	1.5272663443806144e-222
25.0ms	-2.977735304782181e-180	-3.6478954076125474e-186
25.0ms	-3.0885104819956485e-110	-2.717396064774039e-115
24.0ms	-5.078567843735174e-77	-1.8407207497833771e-78
130.0ms	-7.466194404483397e+60	-1.360611561710915e+59
0.0ms	-3.0566177335606144e+81	-2.945948634564962e+81

Compiler

Compiled 208 to 160 computations (23.1% saved)

regimes147.0ms (0.9%)

Counts

6 → 7

Calls

Call 1

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

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

Calls

5 calls:

37.0ms	z
32.0ms	t
31.0ms	y
22.0ms	x
22.0ms	a

Results

Error	Segments	Branch
20.7b	5	`x`
19.4b	7	`y`
19.9b	7	`z`
17.5b	7	`t`
24.1b	5	`a`

Compiler

Compiled 77 to 53 computations (31.2% saved)

bsearch113.0ms (0.7%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
5.0ms	5.117547789437682e+282	2.356643129591393e+285
7.0ms	1.8123412676925438e+201	3.0114689791184716e+202
25.0ms	426638915198.51843	1720129411687.9587
26.0ms	3.750167281289854e-14	4.752464906779426e-14
25.0ms	1.8016239397804074e-95	5.8146471856509514e-95
26.0ms	-1.4070084008218308e-154	-1.906795633342993e-156

Compiler

Compiled 78 to 60 computations (23.1% saved)

regimes122.0ms (0.7%)

Counts

5 → 7

Calls

Call 1

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

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

Calls

5 calls:

33.0ms	z
28.0ms	t
20.0ms	x
20.0ms	y
18.0ms	a

Results

Error	Segments	Branch
20.7b	5	`x`
20.5b	5	`y`
20.5b	7	`z`
18.4b	7	`t`
26.0b	3	`a`

Compiler

Compiled 70 to 49 computations (30% saved)

bsearch110.0ms (0.7%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
5.0ms	5.117547789437682e+282	2.356643129591393e+285
7.0ms	1.8123412676925438e+201	3.0114689791184716e+202
26.0ms	3.5640609540202397	390.1737342816242
25.0ms	1.0153873648796613e-21	2.886382987773805e-18
24.0ms	1.8016239397804074e-95	5.8146471856509514e-95
24.0ms	-1.4070084008218308e-154	-1.906795633342993e-156

Compiler

Compiled 78 to 60 computations (23.1% saved)

regimes103.0ms (0.6%)

Accuracy

Total -36.7b remaining (-177.3%)

Threshold costs -36.7b (-177.3%)

Counts

4 → 5

Calls

Call 1

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

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

Calls

5 calls:

28.0ms	z
20.0ms	y
19.0ms	a
18.0ms	x
16.0ms	t

Results

Error	Segments	Branch
20.8b	5	`x`
20.7b	5	`y`
20.8b	7	`z`
21.0b	3	`t`
24.8b	5	`a`

Compiler

Compiled 63 to 45 computations (28.6% saved)

bsearch652.0ms (3.9%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
267.0ms	2.1471757431322718e+101	9.605608097009651e+111
247.0ms	1.7302462498164003e+68	2.1929849022109355e+74
114.0ms	1.0960803499332843e+53	2.5228311422066273e+53
24.0ms	-3.7505881839280476e-138	-3.238423720636989e-140

Compiler

Compiled 650 to 500 computations (23.1% saved)

simplify55.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

29×	`*-commutative_binary64`
9×	`+-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	165	1184
1	199	1184
2	226	1184
3	242	1184
4	250	1184
5	252	1184

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) -39999999999999997486138098493475056401093230239587493100825002713807698410740413528150307135276363386938195289179600132648448207361831475318456484960712247853539567853690159104) (.f64 1/2 (fma.f64 -9 (/.f64 z (/.f64 a t)) (.f64 y (/.f64 x a)))) (if (<=.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) 40000000000000002986023025993267830985311812004784623726521376004804618285431969451685978132299973122979161252805197687658703713382973633053438580540263602646031545549964753416721480781088915477799249620779385862645868902359563384333415575715840) (/.f64 (-.f64 (.f64 x y) (.f64 z (.f64 t 9))) (.f64 a 2)) (.f64 1/2 (fma.f64 -9 (/.f64 z (/.f64 a t)) (.f64 y (/.f64 x a))))))
(if (<=.f64 (/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) (.f64 a 2)) -inf.0) (.f64 1/2 (+.f64 (.f64 (.f64 z (/.f64 t a)) -9) (.f64 y (/.f64 x a)))) (if (<=.f64 (/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) (.f64 a 2)) 100000000000000006172783352786715688699437231096301125831005285053881337653967155894253917094446479669431045845149126131034590785433956171738211535366987228554259102109161882186134743033813753627273385960246277244994846257890348030815401124236704201912132575831851305036088950921132601507840) (/.f64 (-.f64 (.f64 x y) (.f64 z (.f64 t 9))) (.f64 a 2)) (.f64 1/2 (+.f64 (.f64 (.f64 z (/.f64 t a)) -9) (.f64 y (/.f64 x a))))))
(if (<=.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) -inf.0) (/.f64 (.f64 (/.f64 y a) x) 2) (if (<=.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) 1000000000000000066436467741248103118547156170586292454485461107376856746627884050583544890346687569804406120783567460668037744292161050890877875387371120199760770880078039125129799472606133954939884328574613293205683935969567348590731356020719265634967118123751637393518591968740451429495341056) (/.f64 (-.f64 (.f64 x y) (.f64 z (.f64 t 9))) (.f64 a 2)) (.f64 (*.f64 (/.f64 -9/2 a) z) t)))
(if (<=.f64 t -7368883273779455/3864537523017258344695351890931987344298927329706434998657235251451519142289560424536193766581922577962463616031502177177365078661042987655742908673467080748696980814823424) (.f64 -9/2 (.f64 (/.f64 t a) z)) (if (<=.f64 t 1353980973030095/75153362648762663292463379097258784876021841565066235862633311089030688803667470190838367948312598497021919232) (/.f64 y (/.f64 a (/.f64 x 2))) (if (<=.f64 t 7186707933651221/1532495540865888858358347027150309183618739122183602176) (.f64 -9/2 (/.f64 (.f64 t z) a)) (if (<=.f64 t 3495025993306263/8192) (.f64 y (/.f64 x (/.f64 a 1/2))) (.f64 1/2 (*.f64 -9 (/.f64 z (/.f64 a t))))))))
(if (<=.f64 t -7368883273779455/3864537523017258344695351890931987344298927329706434998657235251451519142289560424536193766581922577962463616031502177177365078661042987655742908673467080748696980814823424) (.f64 -9/2 (.f64 (/.f64 t a) z)) (if (<=.f64 t 1353980973030095/75153362648762663292463379097258784876021841565066235862633311089030688803667470190838367948312598497021919232) (/.f64 y (/.f64 a (/.f64 x 2))) (if (<=.f64 t 7186707933651221/1532495540865888858358347027150309183618739122183602176) (.f64 -9/2 (/.f64 (.f64 t z) a)) (if (<=.f64 t 3495025993306263/8192) (.f64 y (/.f64 x (/.f64 a 1/2))) (if (<=.f64 t 9999999999999999017474591319641730272072128367390393282944984404433823148266910656903077218579754480674748342103902584639871831041306548820316951909258721342916786285447187693014154661313392524876840960) (/.f64 (.f64 t -9/2) (/.f64 a z)) (if (<=.f64 t 999999999999999980159157920520442850193109519852847211800025710561650359982538085224088616186146493844286149397221450372619320895438893697947652166455225334059372746413748147206443420891752540620587530362220273863006901551095990707698442841525909542472844588688081080376132618600579072) (/.f64 (.f64 (.f64 t -9/2) z) a) (.f64 (.f64 (/.f64 -9/2 a) z) t)))))))
(if (<=.f64 t -7368883273779455/3864537523017258344695351890931987344298927329706434998657235251451519142289560424536193766581922577962463616031502177177365078661042987655742908673467080748696980814823424) (.f64 -9/2 (.f64 (/.f64 t a) z)) (if (<=.f64 t 1353980973030095/75153362648762663292463379097258784876021841565066235862633311089030688803667470190838367948312598497021919232) (/.f64 y (/.f64 a (/.f64 x 2))) (if (<=.f64 t 7186707933651221/1532495540865888858358347027150309183618739122183602176) (.f64 -9/2 (/.f64 (.f64 t z) a)) (if (<=.f64 t 3495025993306263/8192) (/.f64 y (/.f64 a (/.f64 x 2))) (if (<=.f64 t 9999999999999999017474591319641730272072128367390393282944984404433823148266910656903077218579754480674748342103902584639871831041306548820316951909258721342916786285447187693014154661313392524876840960) (/.f64 (.f64 t -9/2) (/.f64 a z)) (if (<=.f64 t 999999999999999980159157920520442850193109519852847211800025710561650359982538085224088616186146493844286149397221450372619320895438893697947652166455225334059372746413748147206443420891752540620587530362220273863006901551095990707698442841525909542472844588688081080376132618600579072) (/.f64 (.f64 (.f64 t -9/2) z) a) (.f64 (*.f64 (/.f64 -9/2 a) z) t)))))))
(if (<=.f64 t -7368883273779455/3864537523017258344695351890931987344298927329706434998657235251451519142289560424536193766581922577962463616031502177177365078661042987655742908673467080748696980814823424) (.f64 -9/2 (.f64 (/.f64 t a) z)) (if (<=.f64 t 1353980973030095/75153362648762663292463379097258784876021841565066235862633311089030688803667470190838367948312598497021919232) (/.f64 y (/.f64 a (/.f64 x 2))) (if (<=.f64 t 7186707933651221/1532495540865888858358347027150309183618739122183602176) (/.f64 (.f64 (.f64 t -9/2) z) a) (if (<=.f64 t 3495025993306263/8192) (/.f64 y (/.f64 a (/.f64 x 2))) (if (<=.f64 t 9999999999999999017474591319641730272072128367390393282944984404433823148266910656903077218579754480674748342103902584639871831041306548820316951909258721342916786285447187693014154661313392524876840960) (/.f64 (.f64 t -9/2) (/.f64 a z)) (if (<=.f64 t 999999999999999980159157920520442850193109519852847211800025710561650359982538085224088616186146493844286149397221450372619320895438893697947652166455225334059372746413748147206443420891752540620587530362220273863006901551095990707698442841525909542472844588688081080376132618600579072) (/.f64 (.f64 (.f64 t -9/2) z) a) (.f64 (*.f64 (/.f64 -9/2 a) z) t)))))))
(if (<=.f64 t -7368883273779455/3864537523017258344695351890931987344298927329706434998657235251451519142289560424536193766581922577962463616031502177177365078661042987655742908673467080748696980814823424) (.f64 -9/2 (.f64 (/.f64 t a) z)) (if (<=.f64 t 1353980973030095/75153362648762663292463379097258784876021841565066235862633311089030688803667470190838367948312598497021919232) (/.f64 y (/.f64 a (/.f64 x 2))) (if (<=.f64 t 7186707933651221/1532495540865888858358347027150309183618739122183602176) (/.f64 (.f64 (.f64 t -9/2) z) a) (if (<=.f64 t 3495025993306263/8192) (/.f64 y (/.f64 a (/.f64 x 2))) (.f64 (.f64 (/.f64 -9/2 a) z) t)))))
(if (<=.f64 z -2999999999999999974470223024111721621642565114518416193220185473467414953911648256) (.f64 -9/2 (/.f64 t (/.f64 a z))) (if (<=.f64 z -139999999999999989346079709825462938729195377918139569274880) (/.f64 (.f64 (/.f64 y a) x) 2) (if (<=.f64 z -1655236064951041/32592575621351777380295131014550050576823494298654980010178247189670100796213387298934358016) (.f64 (.f64 (/.f64 -9/2 a) z) t) (if (<=.f64 z -2613348209656923/84615164005151820665845159428194693098035799419427996068435045795123941278247852265624218936283556460491675139202989862944768) (/.f64 (.f64 (/.f64 y a) x) 2) (if (<=.f64 z -6955899137569705/2335969596222563951944279862118549158345332995711262684456546569164428885610842821891027359394494156686664862501680336543072616817344224255105362595697773664385021273272455654442431586430261133312) (/.f64 (.f64 (.f64 t -9/2) z) a) (if (<=.f64 z 4075422102324219/6511732844609232689531105264376228317524178049136629062886970519300817615056281319845148633663627237053642490813899648872938282865350942461292339894854326216889802323744154842249099888585755883524379898570201759747744871130348106729652224) (/.f64 (/.f64 (.f64 y x) a) 2) (if (<=.f64 z 8514003372427715/1196016433265952743395471289404697169072810493804166494441751843412187589432751524808206008009981008223572409600860332310053179810480242818613945648997260116165130891915497295074524972252293700255744) (.f64 -9/2 (.f64 (/.f64 t a) z)) (if (<=.f64 z 1603214737260919/899782758908639276562107701537196371773939423660383326620151114522367516134297574063808137220778171429984182126704179024641653211098859937801703036173032771026944) (/.f64 (.f64 (/.f64 y a) x) 2) (.f64 -9/2 (*.f64 (/.f64 t a) z))))))))))
(if (<=.f64 t -8495994937775737/60383398797144661635864873295812302254670739526663046854019300803929986598274381633378027602842540280663494000492221518396329354078796682120982948022923136698390325231616) (.f64 (.f64 (/.f64 -9/2 a) z) t) (if (<=.f64 t 1353980973030095/75153362648762663292463379097258784876021841565066235862633311089030688803667470190838367948312598497021919232) (/.f64 (/.f64 (.f64 y x) a) 2) (if (<=.f64 t 1485594314088547/39614081257132168796771975168) (/.f64 (.f64 (.f64 t -9/2) z) a) (if (<=.f64 t 3495025993306263/8192) (/.f64 (/.f64 (.f64 y x) a) 2) (if (<=.f64 t 9999999999999999017474591319641730272072128367390393282944984404433823148266910656903077218579754480674748342103902584639871831041306548820316951909258721342916786285447187693014154661313392524876840960) (.f64 -9/2 (/.f64 t (/.f64 a z))) (if (<=.f64 t 999999999999999980159157920520442850193109519852847211800025710561650359982538085224088616186146493844286149397221450372619320895438893697947652166455225334059372746413748147206443420891752540620587530362220273863006901551095990707698442841525909542472844588688081080376132618600579072) (/.f64 (.f64 (.f64 t -9/2) z) a) (.f64 (*.f64 (/.f64 -9/2 a) z) t)))))))
(if (<=.f64 t -8495994937775737/60383398797144661635864873295812302254670739526663046854019300803929986598274381633378027602842540280663494000492221518396329354078796682120982948022923136698390325231616) (.f64 (.f64 (/.f64 -9/2 a) z) t) (if (<=.f64 t 1353980973030095/75153362648762663292463379097258784876021841565066235862633311089030688803667470190838367948312598497021919232) (/.f64 (.f64 (/.f64 y a) x) 2) (if (<=.f64 t 5398725247857277/5316911983139663491615228241121378304) (/.f64 (.f64 (.f64 t -9/2) z) a) (if (<=.f64 t 8025551792225643/2251799813685248) (/.f64 (.f64 (/.f64 y a) x) 2) (if (<=.f64 t 9999999999999999017474591319641730272072128367390393282944984404433823148266910656903077218579754480674748342103902584639871831041306548820316951909258721342916786285447187693014154661313392524876840960) (.f64 -9/2 (/.f64 t (/.f64 a z))) (if (<=.f64 t 999999999999999980159157920520442850193109519852847211800025710561650359982538085224088616186146493844286149397221450372619320895438893697947652166455225334059372746413748147206443420891752540620587530362220273863006901551095990707698442841525909542472844588688081080376132618600579072) (/.f64 (.f64 (.f64 t -9/2) z) a) (.f64 (*.f64 (/.f64 -9/2 a) z) t)))))))
(if (<=.f64 y -6285895749302435/1675975991242824637446753124775730765934920727574049172215445180465220503759193372100234287270862928461253982273310756356719235351493321243304206125760512) (/.f64 (.f64 (/.f64 y a) x) 2) (if (<=.f64 y 250000000000000019572885101149060960576340074971529216) (.f64 (.f64 (/.f64 -9/2 a) z) t) (if (<=.f64 y 174999999999999988747758540738102735228543222464560348172887993090048) (/.f64 (.f64 (/.f64 y a) x) 2) (if (<=.f64 y 9500000000000000190534193948353210378448347394141125909066910961225976320006011337461755719805761753383201406976) (.f64 (.f64 (/.f64 -9/2 a) z) t) (/.f64 (*.f64 (/.f64 y a) x) 2)))))
(.f64 (.f64 (/.f64 -9/2 a) z) t)

Outputs
(if (<=.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) -39999999999999997486138098493475056401093230239587493100825002713807698410740413528150307135276363386938195289179600132648448207361831475318456484960712247853539567853690159104) (.f64 1/2 (fma.f64 -9 (/.f64 z (/.f64 a t)) (.f64 y (/.f64 x a)))) (if (<=.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) 40000000000000002986023025993267830985311812004784623726521376004804618285431969451685978132299973122979161252805197687658703713382973633053438580540263602646031545549964753416721480781088915477799249620779385862645868902359563384333415575715840) (/.f64 (-.f64 (.f64 x y) (.f64 z (.f64 t 9))) (.f64 a 2)) (.f64 1/2 (fma.f64 -9 (/.f64 z (/.f64 a t)) (.f64 y (/.f64 x a))))))
(if (<=.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) -39999999999999997486138098493475056401093230239587493100825002713807698410740413528150307135276363386938195289179600132648448207361831475318456484960712247853539567853690159104) (.f64 1/2 (fma.f64 -9 (/.f64 z (/.f64 a t)) (.f64 y (/.f64 x a)))) (if (<=.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) 40000000000000002986023025993267830985311812004784623726521376004804618285431969451685978132299973122979161252805197687658703713382973633053438580540263602646031545549964753416721480781088915477799249620779385862645868902359563384333415575715840) (/.f64 (-.f64 (.f64 x y) (.f64 z (.f64 9 t))) (.f64 a 2)) (.f64 1/2 (fma.f64 -9 (/.f64 z (/.f64 a t)) (.f64 y (/.f64 x a))))))
(if (<=.f64 (+.f64 (.f64 x y) (.f64 t (.f64 z -9))) -39999999999999997486138098493475056401093230239587493100825002713807698410740413528150307135276363386938195289179600132648448207361831475318456484960712247853539567853690159104) (.f64 1/2 (fma.f64 -9 (/.f64 z (/.f64 a t)) (.f64 y (/.f64 x a)))) (if (<=.f64 (+.f64 (.f64 x y) (.f64 t (.f64 z -9))) 40000000000000002986023025993267830985311812004784623726521376004804618285431969451685978132299973122979161252805197687658703713382973633053438580540263602646031545549964753416721480781088915477799249620779385862645868902359563384333415575715840) (/.f64 (-.f64 (.f64 x y) (.f64 z (.f64 9 t))) (.f64 a 2)) (.f64 1/2 (fma.f64 -9 (/.f64 z (/.f64 a t)) (.f64 y (/.f64 x a))))))
(if (<=.f64 (+.f64 (.f64 x y) (.f64 t (.f64 z -9))) -39999999999999997486138098493475056401093230239587493100825002713807698410740413528150307135276363386938195289179600132648448207361831475318456484960712247853539567853690159104) (.f64 1/2 (fma.f64 -9 (/.f64 z (/.f64 a t)) (.f64 y (/.f64 x a)))) (if (<=.f64 (+.f64 (.f64 x y) (.f64 t (.f64 z -9))) 40000000000000002986023025993267830985311812004784623726521376004804618285431969451685978132299973122979161252805197687658703713382973633053438580540263602646031545549964753416721480781088915477799249620779385862645868902359563384333415575715840) (/.f64 (+.f64 (.f64 x y) (.f64 z (.f64 t -9))) (.f64 a 2)) (.f64 1/2 (fma.f64 -9 (/.f64 z (/.f64 a t)) (.f64 y (/.f64 x a))))))
(if (<=.f64 (/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) (.f64 a 2)) -inf.0) (.f64 1/2 (+.f64 (.f64 (.f64 z (/.f64 t a)) -9) (.f64 y (/.f64 x a)))) (if (<=.f64 (/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) (.f64 a 2)) 100000000000000006172783352786715688699437231096301125831005285053881337653967155894253917094446479669431045845149126131034590785433956171738211535366987228554259102109161882186134743033813753627273385960246277244994846257890348030815401124236704201912132575831851305036088950921132601507840) (/.f64 (-.f64 (.f64 x y) (.f64 z (.f64 t 9))) (.f64 a 2)) (.f64 1/2 (+.f64 (.f64 (.f64 z (/.f64 t a)) -9) (.f64 y (/.f64 x a))))))
(if (<=.f64 (/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) (.f64 a 2)) -inf.0) (.f64 1/2 (+.f64 (.f64 y (/.f64 x a)) (.f64 -9 (.f64 z (/.f64 t a))))) (if (<=.f64 (/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) (.f64 a 2)) 100000000000000006172783352786715688699437231096301125831005285053881337653967155894253917094446479669431045845149126131034590785433956171738211535366987228554259102109161882186134743033813753627273385960246277244994846257890348030815401124236704201912132575831851305036088950921132601507840) (/.f64 (-.f64 (.f64 x y) (.f64 z (.f64 9 t))) (.f64 a 2)) (.f64 1/2 (+.f64 (.f64 y (/.f64 x a)) (.f64 -9 (.f64 z (/.f64 t a)))))))
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(.f64 (.f64 (/.f64 -9/2 a) z) t)
(.f64 t (.f64 z (/.f64 -9/2 a)))

Compiler

Compiled 878 to 549 computations (37.5% saved)

soundness645.0ms (3.8%)

Algorithm

3×	egg-herbie

Rules

1606×	`fma-def_binary64`
789×	`fma-def_binary64`
757×	`fma-neg_binary64`
595×	`fma-neg_binary64`
540×	`cancel-sign-sub-inv_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
0	22	2592
1	48	2592
2	110	2592
3	227	2592
4	392	2448
5	593	2448
6	699	2448
7	713	2448
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×	saturated
1×	node limit

Compiler

Compiled 773 to 578 computations (25.2% saved)

end311.0ms (1.8%)

Compiler: Compiled 1098 to 607 computations (44.7% saved)