Details

analyze410.0ms (2%)

Algorithm

1×

Search

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

Compiler

Compiled 19 to 14 computations (26.3% saved)

sample1.6s (8.1%)

Results

1.2s	8256×	body	256	valid
437.0ms	3222×	body	256	invalid

preprocess104.0ms (0.5%)

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)

simplify143.0ms (0.7%)

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))

eval2.0ms (0%)

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

prune3.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

8.5b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	8.6b	(.f64 1/2 (/.f64 (fma.f64 x y (.f64 z (*.f64 t -9))) a))
▶	8.5b	(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) (.f64 a 2))

Compiler

Compiled 35 to 25 computations (28.6% saved)

localize50.0ms (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))
✓	0.0b	(fma.f64 x y (.f64 z (.f64 t -9)))
✓	0.2b	(.f64 z (.f64 t -9))
✓	8.0b	(/.f64 (fma.f64 x y (.f64 z (.f64 t -9))) a)

Compiler

Compiled 50 to 28 computations (44% saved)

series53.0ms (0.3%)

Counts

4 → 192

Calls

48 calls:

Time	Variable		Point	Expression
8.0ms	a	@	-inf	(/.f64 (fma.f64 x y (.f64 z (.f64 t -9))) a)
2.0ms	z	@	0	(/.f64 (fma.f64 x y (.f64 z (.f64 t -9))) a)
2.0ms	x	@	0	(/.f64 (fma.f64 x y (.f64 z (.f64 t -9))) a)
2.0ms	a	@	0	(/.f64 (fma.f64 x y (.f64 z (.f64 t -9))) a)
2.0ms	x	@	-inf	(/.f64 (fma.f64 x y (.f64 z (.f64 t -9))) a)

rewrite148.0ms (0.7%)

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

simplify199.0ms (1%)

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

Outputs
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(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 -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))
(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))
(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
✓	0.0b	(-.f64 (.f64 x y) (.f64 (*.f64 z 9) t))
✓	0.2b	(.f64 (.f64 z 9) t)
✓	8.0b	(/.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
1.0ms	a	@	0	(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) (.f64 a 2))
1.0ms	x	@	0	(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) (.f64 a 2))
1.0ms	a	@	inf	(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) (.f64 a 2))
1.0ms	y	@	0	(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) (.f64 a 2))
1.0ms	x	@	inf	(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) (.f64 a 2))

rewrite111.0ms (0.5%)

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 z 9) t)
(-.f64 (.f64 x y) (.f64 (*.f64 z 9) t))

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

simplify223.0ms (1.1%)

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

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

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

eval206.0ms (1%)

Compiler: Compiled 9142 to 5149 computations (43.7% saved)

prune151.0ms (0.7%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	405	16	421
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	407	16	423

Error

0.0b

Counts

423 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	34.7b	(/.f64 (.f64 y x) (.f64 a 2))
	33.5b	(.f64 y (.f64 x (/.f64 1/2 a)))
	31.6b	(/.f64 (.f64 -9 (.f64 t z)) (*.f64 a 2))
	8.9b	(/.f64 1/2 (/.f64 a (fma.f64 z (.f64 t -9) (.f64 x y))))
▶	7.5b	(.f64 1/2 (fma.f64 -9 (/.f64 z (/.f64 a t)) (.f64 y (/.f64 x a))))
	35.0b	(.f64 1/2 (pow.f64 (sqrt.f64 (/.f64 (fma.f64 z (.f64 t -9) (*.f64 x y)) a)) 2))
	31.1b	(.f64 t (.f64 z (/.f64 -9/2 a)))
▶	9.0b	(fma.f64 (/.f64 y a) (/.f64 x 2) (neg.f64 (.f64 (.f64 9 (*.f64 z t)) (/.f64 1/2 a))))
	8.6b	(-.f64 (.f64 (.f64 x y) (/.f64 1/2 a)) (.f64 (.f64 9 (*.f64 z t)) (/.f64 1/2 a)))
▶	31.6b	(/.f64 (.f64 z (.f64 t -9)) (*.f64 a 2))
	8.6b	(/.f64 (-.f64 (.f64 x y) (.f64 z (.f64 t 9))) (.f64 a 2))
▶	31.6b	(.f64 -9/2 (/.f64 (.f64 t z) a))
▶	33.5b	(*.f64 y (/.f64 x (/.f64 a 1/2)))
	31.4b	(.f64 1/2 (.f64 -9 (/.f64 z (/.f64 a t))))
	31.1b	(*.f64 t (/.f64 z (/.f64 a -9/2)))
	9.4b	(pow.f64 (cbrt.f64 (.f64 (fma.f64 x y (.f64 t (*.f64 z -9))) (/.f64 1/2 a))) 3)

Compiler

Compiled 504 to 374 computations (25.8% saved)

localize18.0ms (0.1%)

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)))
✓	5.0b	(/.f64 z (/.f64 a t))
✓	5.5b	(*.f64 y (/.f64 x a))

Compiler

Compiled 54 to 17 computations (68.5% saved)

series73.0ms (0.4%)

Counts

4 → 192

Calls

48 calls:

Time	Variable		Point	Expression
48.0ms	a	@	inf	(/.f64 z (/.f64 a t))
3.0ms	y	@	0	(*.f64 y (/.f64 x a))
1.0ms	y	@	inf	(*.f64 y (/.f64 x a))
1.0ms	a	@	-inf	(.f64 1/2 (fma.f64 -9 (/.f64 z (/.f64 a t)) (.f64 y (/.f64 x a))))
1.0ms	y	@	0	(fma.f64 -9 (/.f64 z (/.f64 a t)) (*.f64 y (/.f64 x a)))

rewrite97.0ms (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 y (/.f64 x a))
(/.f64 z (/.f64 a t))
(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 y (/.f64 a x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (/.f64 x a))) (cbrt.f64 (pow.f64 (exp.f64 y) (/.f64 x a))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (/.f64 x a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (/.f64 x a)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (/.f64 x a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 y (/.f64 a x)))) 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) (cbrt.f64 (.f64 a a))) (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 a x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (/.f64 a x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 y (/.f64 a x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 y (/.f64 a x))) 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 a x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (/.f64 x a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 y (/.f64 a x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 y (/.f64 a x)) 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 a x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 y (/.f64 a x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 y (/.f64 a x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 y (/.f64 a x))) 1))))))
((#(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 (cbrt.f64 (.f64 z (/.f64 t a))) (cbrt.f64 (pow.f64 (.f64 z (/.f64 t a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (.f64 z (/.f64 t a)) 2)) (cbrt.f64 (.f64 z (/.f64 t a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 z z)) (.f64 (cbrt.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 (sqrt.f64 z) (.f64 (sqrt.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 (cbrt.f64 (.f64 z z)) 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 (cbrt.f64 (.f64 z z)) 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 (cbrt.f64 (.f64 z z)) (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 (cbrt.f64 (.f64 z z)) (sqrt.f64 (/.f64 a t))) (/.f64 (cbrt.f64 z) (sqrt.f64 (/.f64 a t))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 z 1) (/.f64 t a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 z (neg.f64 a)) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 z a) 1) t)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 z a) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 z a) (sqrt.f64 t)) (sqrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 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))))))
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simplify235.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

894×	`fma-neg_binary64`
503×	`associate-/l*_binary64`
416×	`cancel-sign-sub-inv_binary64`
326×	`associate-/r/_binary64`
310×	`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	2386	2214
6	5259	2214
7	7087	2214
8	7619	2214

Stop Event

1×	node limit

Counts

319 → 143

Calls

Call 1

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

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 -9/2 (/.f64 (.f64 t z) a))
✓	5.5b	(/.f64 (*.f64 t z) a)

Compiler

Compiled 24 to 10 computations (58.3% saved)

series6.0ms (0%)

Counts

2 → 0

Calls

18 calls:

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

rewrite85.0ms (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))))))))

simplify8.0ms (0%)

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

localize10.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.5b	(*.f64 y (/.f64 x (/.f64 a 1/2)))

Compiler

Compiled 24 to 15 computations (37.5% saved)

series19.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
15.0ms	y	@	-inf	(*.f64 y (/.f64 x (/.f64 a 1/2)))
1.0ms	y	@	0	(*.f64 y (/.f64 x (/.f64 a 1/2)))
1.0ms	a	@	inf	(*.f64 y (/.f64 x (/.f64 a 1/2)))
1.0ms	a	@	-inf	(*.f64 y (/.f64 x (/.f64 a 1/2)))
1.0ms	x	@	0	(*.f64 y (/.f64 x (/.f64 a 1/2)))

rewrite63.0ms (0.3%)

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)))))))))

simplify40.0ms (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

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)

localize28.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.2b	(.f64 z (.f64 t -9))
✓	5.6b	(/.f64 (.f64 z (.f64 t -9)) (*.f64 a 2))

Compiler

Compiled 30 to 20 computations (33.3% saved)

series5.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite99.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 74

Calls

Call 1

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

Outputs

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

simplify92.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

110 → 76

Calls

Call 1

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

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

localize111.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 9 (.f64 z t))
✓	4.6b	(fma.f64 (/.f64 y a) (/.f64 x 2) (neg.f64 (.f64 (.f64 9 (*.f64 z t)) (/.f64 1/2 a))))
✓	5.6b	(.f64 (.f64 9 (*.f64 z t)) (/.f64 1/2 a))

Compiler

Compiled 66 to 36 computations (45.5% saved)

series33.0ms (0.2%)

Counts

3 → 120

Calls

30 calls:

Time	Variable		Point	Expression
7.0ms	y	@	inf	(fma.f64 (/.f64 y a) (/.f64 x 2) (neg.f64 (.f64 (.f64 9 (*.f64 z t)) (/.f64 1/2 a))))
2.0ms	a	@	inf	(fma.f64 (/.f64 y a) (/.f64 x 2) (neg.f64 (.f64 (.f64 9 (*.f64 z t)) (/.f64 1/2 a))))
2.0ms	a	@	0	(fma.f64 (/.f64 y a) (/.f64 x 2) (neg.f64 (.f64 (.f64 9 (*.f64 z t)) (/.f64 1/2 a))))
2.0ms	a	@	-inf	(fma.f64 (/.f64 y a) (/.f64 x 2) (neg.f64 (.f64 (.f64 9 (*.f64 z t)) (/.f64 1/2 a))))
2.0ms	y	@	0	(fma.f64 (/.f64 y a) (/.f64 x 2) (neg.f64 (.f64 (.f64 9 (*.f64 z t)) (/.f64 1/2 a))))

rewrite674.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 488

Calls

Call 1

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

Outputs

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

simplify442.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Counts

608 → 500

Calls

Call 1

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

eval1.1s (5.5%)

Compiler: Compiled 29608 to 16824 computations (43.2% saved)

prune453.0ms (2.2%)

Pruning

18 alts after pruning (15 fresh and 3 done)

	Pruned	Kept	Total
New	814	12	826
Fresh	8	3	11
Picked	1	0	1
Done	1	3	4
Total	824	18	842

Error

Counts

842 → 18

Alt Table

Click to see full alt table

Status	Error	Program
	30.9b	(/.f64 (*.f64 t -9/2) (/.f64 a z))
▶	31.2b	(.f64 -9/2 (.f64 (/.f64 t a) z))
✓	7.5b	(.f64 1/2 (fma.f64 -9 (/.f64 z (/.f64 a t)) (.f64 y (/.f64 x a))))
	35.0b	(.f64 1/2 (pow.f64 (sqrt.f64 (/.f64 (fma.f64 z (.f64 t -9) (*.f64 x y)) a)) 2))
	9.0b	(-.f64 (.f64 (/.f64 y a) (.f64 1/2 x)) (/.f64 (.f64 (.f64 z t) 9/2) a))
	31.1b	(*.f64 (/.f64 z a) (/.f64 t -2/9))
✓	31.6b	(.f64 -9/2 (/.f64 (.f64 t z) a))
	31.1b	(*.f64 t (/.f64 z (/.f64 a -9/2)))
	31.2b	(.f64 z (.f64 (*.f64 t -9) (/.f64 1/2 a)))
▶	34.7b	(/.f64 (.f64 y (.f64 1/2 x)) a)
▶	33.8b	(/.f64 x (/.f64 (/.f64 a y) 1/2))
▶	31.6b	(.f64 (/.f64 1/2 a) (.f64 (*.f64 z -9) t))
	31.5b	(.f64 z (/.f64 1 (.f64 (/.f64 a t) -2/9)))
▶	7.8b	(.f64 1/2 (+.f64 (/.f64 y (/.f64 a x)) (.f64 (*.f64 -9 z) (/.f64 t a))))
	33.7b	(/.f64 y (/.f64 a (/.f64 x 2)))
	8.6b	(/.f64 (-.f64 (.f64 x y) (.f64 z (.f64 t 9))) (.f64 a 2))
✓	33.5b	(*.f64 y (/.f64 x (/.f64 a 1/2)))
	39.7b	(-.f64 (+.f64 1 (/.f64 (*.f64 -9/2 t) (/.f64 a z))) 1)

Compiler

Compiled 483 to 361 computations (25.3% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 1/2 (+.f64 (/.f64 y (/.f64 a x)) (.f64 (*.f64 -9 z) (/.f64 t a))))
✓	0.0b	(+.f64 (/.f64 y (/.f64 a x)) (.f64 (.f64 -9 z) (/.f64 t a)))
✓	5.1b	(.f64 (.f64 -9 z) (/.f64 t a))
✓	5.7b	(/.f64 y (/.f64 a x))

Compiler

Compiled 61 to 25 computations (59% saved)

series18.0ms (0.1%)

Counts

4 → 192

Calls

48 calls:

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

rewrite162.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

949×	`log-prod_binary64`
523×	`fma-def_binary64`
308×	`expm1-udef_binary64`
308×	`log1p-udef_binary64`
253×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	58
1	337	54
2	4961	54

Stop Event

1×	node limit

Counts

4 → 217

Calls

Call 1

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

Outputs
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simplify193.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

894×	`fma-neg_binary64`
504×	`associate-/l*_binary64`
416×	`cancel-sign-sub-inv_binary64`
324×	`associate-/r/_binary64`
304×	`div-sub_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	31	2610
1	73	2610
2	186	2610
3	448	2610
4	1007	2322
5	2385	2322
6	5251	2322
7	7076	2322
8	7606	2322

Stop Event

1×	node limit

Counts

409 → 232

Calls

Call 1

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

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 -9/2 (.f64 (/.f64 t a) z))
✓	5.0b	(*.f64 (/.f64 t a) z)

Compiler

Compiled 24 to 10 computations (58.3% saved)

series5.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite294.0ms (1.4%)

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))))))))

simplify25.0ms (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	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))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.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))
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(/.f64 (*.f64 t z) a)
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(.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)
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(.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))

localize47.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (/.f64 a y) 1/2)
✓	5.8b	(/.f64 x (/.f64 (/.f64 a y) 1/2))

Compiler

Compiled 24 to 12 computations (50% saved)

series16.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
9.0ms	a	@	0	(/.f64 (/.f64 a y) 1/2)
1.0ms	a	@	inf	(/.f64 x (/.f64 (/.f64 a y) 1/2))
1.0ms	a	@	inf	(/.f64 (/.f64 a y) 1/2)
1.0ms	y	@	0	(/.f64 (/.f64 a y) 1/2)
1.0ms	y	@	inf	(/.f64 x (/.f64 (/.f64 a y) 1/2))

rewrite155.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

501×	`log-prod_binary64`
389×	`exp-prod_binary64`
288×	`prod-exp_binary64`
252×	`pow-prod-down_binary64`
239×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	182	17
2	2591	17

Stop Event

1×	node limit

Counts

2 → 105

Calls

Call 1

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

Outputs

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

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

simplify35.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	528
1	20	528
2	37	528
3	67	528
4	98	528
5	109	528

Stop Event

1×

saturated

Counts

165 → 108

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

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

localize25.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.6b	(/.f64 (.f64 y (.f64 1/2 x)) a)

Compiler

Compiled 24 to 15 computations (37.5% saved)

series5.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite82.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

922×	`pow1_binary64`
856×	`add-log-exp_binary64`
856×	`log1p-expm1-u_binary64`
856×	`expm1-log1p-u_binary64`
839×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	168	10
2	2244	10

Stop Event

1×	node limit

Counts

1 → 45

Calls

Call 1

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

Outputs

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

simplify72.0ms (0.4%)

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

81 → 47

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)

localize30.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 z -9) t)
✓	5.6b	(.f64 (/.f64 1/2 a) (.f64 (*.f64 z -9) t))

Compiler

Compiled 30 to 20 computations (33.3% saved)

series8.0ms (0%)

Counts

2 → 60

Calls

15 calls:

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

rewrite122.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

537×	`log-prod_binary64`
406×	`exp-prod_binary64`
381×	`prod-exp_binary64`
337×	`pow-prod-down_binary64`
268×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	212	20
2	2583	20

Stop Event

1×	node limit

Counts

2 → 77

Calls

Call 1

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

Outputs

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

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

simplify68.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

20×	`*-commutative_binary64`
15×	`associate-/l*_binary64`
13×	`associate-r_binary64`
11×	`associate-l_binary64`
11×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	528
1	19	528
2	41	528
3	69	528
4	99	528
5	110	528

Stop Event

1×

saturated

Counts

137 → 81

Calls

Call 1

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

eval291.0ms (1.4%)

Compiler: Compiled 8113 to 4146 computations (48.9% saved)

prune105.0ms (0.5%)

Pruning

15 alts after pruning (10 fresh and 5 done)

	Pruned	Kept	Total
New	503	4	507
Fresh	4	6	10
Picked	0	1	1
Done	3	4	7
Total	510	15	525

Error

Counts

525 → 15

Alt Table

Click to see full alt table

Status	Error	Program
▶	31.1b	(.f64 z (.f64 t (/.f64 -9/2 a)))
▶	8.6b	(/.f64 (-.f64 (.f64 x y) (.f64 z (.f64 t 9))) (.f64 a 2))
▶	31.1b	(*.f64 (/.f64 z a) (/.f64 t -2/9))
✓	31.6b	(.f64 -9/2 (/.f64 (.f64 t z) a))
	33.9b	(/.f64 x (*.f64 a (/.f64 2 y)))
✓	33.5b	(*.f64 y (/.f64 x (/.f64 a 1/2)))
	31.2b	(.f64 (/.f64 t a) (.f64 z -9/2))
✓	31.6b	(.f64 (/.f64 1/2 a) (.f64 (*.f64 z -9) t))
▶	31.5b	(.f64 z (/.f64 1 (.f64 (/.f64 a t) -2/9)))
	8.8b	(.f64 1/2 (+.f64 (.f64 (/.f64 y a) x) (.f64 (.f64 -9 z) (/.f64 t a))))
✓	31.2b	(.f64 -9/2 (.f64 (/.f64 t a) z))
▶	33.7b	(/.f64 y (/.f64 a (/.f64 x 2)))
	39.7b	(-.f64 (+.f64 1 (/.f64 (*.f64 -9/2 t) (/.f64 a z))) 1)
	31.2b	(.f64 z (.f64 (*.f64 t -9) (/.f64 1/2 a)))
✓	34.7b	(/.f64 (.f64 y (.f64 1/2 x)) a)

Compiler

Compiled 346 to 261 computations (24.6% saved)

localize20.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 x y) (.f64 z (*.f64 t 9)))
✓	0.2b	(.f64 z (.f64 t 9))
✓	8.0b	(/.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%)

Counts

3 → 132

Calls

33 calls:

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

rewrite127.0ms (0.6%)

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 z (.f64 t 9))
(-.f64 (.f64 x y) (.f64 z (*.f64 t 9)))

Outputs

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

simplify222.0ms (1.1%)

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

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

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 t (/.f64 -9/2 a))
✓	5.0b	(.f64 z (.f64 t (/.f64 -9/2 a)))

Compiler

Compiled 24 to 15 computations (37.5% saved)

series6.0ms (0%)

Counts

2 → 60

Calls

15 calls:

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

rewrite62.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

835×	`pow1_binary64`
774×	`add-log-exp_binary64`
774×	`log1p-expm1-u_binary64`
774×	`expm1-log1p-u_binary64`
758×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	169	17
2	2102	17

Stop Event

1×	node limit

Counts

2 → 41

Calls

Call 1

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

Outputs

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

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

simplify24.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

101 → 45

Calls

Call 1

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

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

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 t -2/9)
✓	4.6b	(*.f64 (/.f64 z a) (/.f64 t -2/9))

Compiler

Compiled 22 to 12 computations (45.5% saved)

series5.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite63.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

591×	`unpow-prod-down_binary64`
465×	`log-prod_binary64`
338×	`exp-prod_binary64`
317×	`pow-prod-down_binary64`
238×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	179	14
2	2455	14

Stop Event

1×	node limit

Counts

2 → 116

Calls

Call 1

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

Outputs

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(log.f64 (*.f64 (/.f64 z a) (*.f64 t -9/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 z a) (*.f64 t -9/2))))) (sqrt.f64 (log.f64 (*.f64 (/.f64 z a) (*.f64 t -9/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (*.f64 (/.f64 z a) t) 2) 81/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 t) (*.f64 -9/2 (/.f64 z a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 z a) (*.f64 t -9/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (/.f64 z a) t) 3) -729/8))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 z a) (*.f64 t -9/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 z a) (*.f64 t -9/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 z a) (*.f64 t -9/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 z a) (*.f64 t -9/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (/.f64 z a) (*.f64 t -9/2)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 z a) (*.f64 t -9/2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 z a) (*.f64 t -9/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 z a) (*.f64 t -9/2))) 1) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 t -9/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 t) -9/2)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 t) -9/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 t) -9/2))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 t) -9/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 t -9/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 t -9/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 t (pow.f64 (cbrt.f64 -9/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 t (pow.f64 (sqrt.f64 -9/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 t -9/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 t -9/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 t) 2) (*.f64 (cbrt.f64 t) -9/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 t) 2) (pow.f64 (*.f64 (cbrt.f64 t) -9/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 t -9/2)) (pow.f64 (cbrt.f64 (*.f64 t -9/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 t -9/2)) 2) (cbrt.f64 (*.f64 t -9/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 t) (*.f64 (sqrt.f64 t) -9/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 t) (pow.f64 (*.f64 (sqrt.f64 t) -9/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 t -9/2)) (sqrt.f64 (*.f64 t -9/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 t) 9/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -9/2 t)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -9/2 (pow.f64 (/.f64 1 t) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (*.f64 t -9/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (*.f64 t -9/2) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 t -9/2) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 t -9/2) 2) t) 1/3) (cbrt.f64 -9/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 t -9/2) (cbrt.f64 (*.f64 t -9/2))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 t -9/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 t -9/2) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (*.f64 t -9/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 t -9/2))) 2) 3) (cbrt.f64 (*.f64 t -9/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 t -9/2))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 t -9/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 -2/9 t)) 2) -1) (cbrt.f64 (*.f64 t -9/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t -9/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 t -9/2) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 t -9/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 t -9/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 t -9/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -2/9 t) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 t -9/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 -2/9 t) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 t -9/2))) 2)) (cbrt.f64 (log.f64 (*.f64 t -9/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 t -9/2)))) (sqrt.f64 (log.f64 (*.f64 t -9/2))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 t 2/9))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 t -9/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 t) -9/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 t -9/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 t -9/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 t -9/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 t -9/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 t -9/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 t -9/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 t -9/2) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 t -9/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 t -9/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 -2/9 t)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 t -9/2)) 1) 1))))))

simplify75.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

15×	`associate-/l*_binary64`
14×	`*-commutative_binary64`
10×	`associate-r_binary64`
10×	`associate-/r/_binary64`
9×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	408
1	16	408
2	28	408
3	52	408
4	82	408
5	93	408

Stop Event

1×

saturated

Counts

164 → 118

Calls

Call 1

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

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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 t)
(*.f64 -9/2 t)
(*.f64 -9/2 t)
(*.f64 -9/2 t)
(*.f64 -9/2 t)
(*.f64 -9/2 t)
(*.f64 -9/2 t)
(*.f64 -9/2 t)
(*.f64 -9/2 t)
(*.f64 -9/2 t)
(*.f64 -9/2 t)
(*.f64 -9/2 t)

localize30.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.7b	(/.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	y	@	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	a	@	-inf	(/.f64 y (/.f64 a (/.f64 x 2)))

rewrite85.0ms (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)))))))

simplify19.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

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)

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (/.f64 a t) -2/9)
✓	0.4b	(/.f64 1 (*.f64 (/.f64 a t) -2/9))
✓	5.0b	(.f64 z (/.f64 1 (.f64 (/.f64 a t) -2/9)))

Compiler

Compiled 34 to 19 computations (44.1% saved)

series7.0ms (0%)

Counts

3 → 84

Calls

21 calls:

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

rewrite77.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

520×	`log-prod_binary64`
403×	`exp-prod_binary64`
331×	`prod-exp_binary64`
276×	`pow-prod-down_binary64`
256×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	210	24
2	2708	24

Stop Event

1×	node limit

Counts

3 → 147

Calls

Call 1

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

Outputs

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

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

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

simplify78.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	696
1	25	696
2	42	696
3	69	696
4	93	696
5	103	696

Stop Event

1×

saturated

Counts

231 → 151

Calls

Call 1

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

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

eval283.0ms (1.4%)

Compiler: Compiled 11271 to 6405 computations (43.2% saved)

prune183.0ms (0.9%)

Pruning

15 alts after pruning (5 fresh and 10 done)

	Pruned	Kept	Total
New	674	0	674
Fresh	0	5	5
Picked	0	1	1
Done	0	9	9
Total	674	15	689

Error

Counts

689 → 15

Alt Table

Click to see full alt table

Status	Error	Program
✓	31.1b	(.f64 z (.f64 t (/.f64 -9/2 a)))
✓	8.6b	(/.f64 (-.f64 (.f64 x y) (.f64 z (.f64 t 9))) (.f64 a 2))
✓	31.1b	(*.f64 (/.f64 z a) (/.f64 t -2/9))
✓	31.6b	(.f64 -9/2 (/.f64 (.f64 t z) a))
	33.9b	(/.f64 x (*.f64 a (/.f64 2 y)))
✓	33.5b	(*.f64 y (/.f64 x (/.f64 a 1/2)))
	31.2b	(.f64 (/.f64 t a) (.f64 z -9/2))
✓	31.6b	(.f64 (/.f64 1/2 a) (.f64 (*.f64 z -9) t))
✓	31.5b	(.f64 z (/.f64 1 (.f64 (/.f64 a t) -2/9)))
	8.8b	(.f64 1/2 (+.f64 (.f64 (/.f64 y a) x) (.f64 (.f64 -9 z) (/.f64 t a))))
✓	31.2b	(.f64 -9/2 (.f64 (/.f64 t a) z))
✓	33.7b	(/.f64 y (/.f64 a (/.f64 x 2)))
	39.7b	(-.f64 (+.f64 1 (/.f64 (*.f64 -9/2 t) (/.f64 a z))) 1)
	31.2b	(.f64 z (.f64 (*.f64 t -9) (/.f64 1/2 a)))
✓	34.7b	(/.f64 (.f64 y (.f64 1/2 x)) a)

Compiler

Compiled 204 to 154 computations (24.5% saved)

regimes1.9s (9.4%)

Counts

34 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

15 calls:

256.0ms	a
212.0ms	t
170.0ms	(*.f64 x y)
145.0ms	z
134.0ms	(*.f64 a 2)

Results

Error	Segments	Branch
4.5b	3	`x`
3.9b	3	`y`
3.5b	5	`z`
3.3b	5	`t`
2.7b	4	`a`
0.6b	3	`(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) (.f64 a 2))`
0.5b	3	`(-.f64 (.f64 x y) (.f64 (*.f64 z 9) t))`
3.6b	3	`(*.f64 x y)`
3.6b	3	`(*.f64 x y)`
3.5b	3	`(.f64 (.f64 z 9) t)`
3.5b	3	`(.f64 (.f64 z 9) t)`
3.5b	5	`(*.f64 z 9)`
3.5b	5	`(*.f64 z 9)`
2.7b	4	`(*.f64 a 2)`
2.7b	4	`(*.f64 a 2)`

Compiler

Compiled 478 to 304 computations (36.4% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	7.441210012464614e+144	3.0649540131844795e+147
0.0ms	-inf	-4.616590219847294e+307

Compiler

Compiled 26 to 20 computations (23.1% saved)

regimes791.0ms (3.9%)

Counts

26 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

15 calls:

80.0ms	(*.f64 a 2)
73.0ms	(*.f64 a 2)
70.0ms	(*.f64 z 9)
68.0ms	x
67.0ms	(*.f64 z 9)

Results

Error	Segments	Branch
6.0b	2	`x`
4.9b	3	`y`
3.7b	5	`z`
4.8b	3	`t`
4.3b	3	`a`
0.6b	3	`(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) (.f64 a 2))`
0.5b	3	`(-.f64 (.f64 x y) (.f64 (*.f64 z 9) t))`
3.8b	3	`(*.f64 x y)`
3.8b	3	`(*.f64 x y)`
3.8b	3	`(.f64 (.f64 z 9) t)`
3.8b	3	`(.f64 (.f64 z 9) t)`
3.7b	5	`(*.f64 z 9)`
3.7b	5	`(*.f64 z 9)`
4.3b	3	`(*.f64 a 2)`
4.3b	3	`(*.f64 a 2)`

Compiler

Compiled 361 to 240 computations (33.5% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	7.441210012464614e+144	3.0649540131844795e+147
0.0ms	-inf	-4.616590219847294e+307

Compiler

Compiled 26 to 20 computations (23.1% saved)

regimes647.0ms (3.2%)

Counts

24 → 3

Calls

Call 1

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

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

Calls

14 calls:

69.0ms	y
60.0ms	(.f64 (.f64 z 9) t)
58.0ms	(*.f64 x y)
57.0ms	(*.f64 x y)
57.0ms	(.f64 (.f64 z 9) t)

Results

Error	Segments	Branch
7.5b	2	`x`
6.4b	3	`y`
7.5b	2	`z`
6.7b	2	`t`
8.5b	1	`a`
4.2b	3	`(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) (.f64 a 2))`
4.2b	3	`(-.f64 (.f64 x y) (.f64 (*.f64 z 9) t))`
4.3b	3	`(*.f64 x y)`
4.3b	3	`(*.f64 x y)`
4.7b	3	`(.f64 (.f64 z 9) t)`
4.7b	3	`(.f64 (.f64 z 9) t)`
7.5b	2	`(*.f64 z 9)`
7.5b	2	`(*.f64 z 9)`
8.5b	1	`(*.f64 a 2)`

Compiler

Compiled 323 to 217 computations (32.8% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.739997006830106e+305	5.291117890997837e+307
0.0ms	-inf	-4.616590219847294e+307

Compiler

Compiled 26 to 20 computations (23.1% saved)

regimes297.0ms (1.5%)

Counts

23 → 3

Calls

Call 1

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

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

Calls

8 calls:

56.0ms	(*.f64 x y)
47.0ms	y
46.0ms	x
45.0ms	(*.f64 x y)
26.0ms	z

Results

Error	Segments	Branch
7.5b	2	`x`
6.5b	3	`y`
7.5b	2	`z`
6.7b	2	`t`
8.6b	1	`a`
4.3b	3	`(*.f64 x y)`
4.3b	3	`(*.f64 x y)`
8.6b	1	`(*.f64 a 2)`

Compiler

Compiled 242 to 157 computations (35.1% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.8878308701157827e+272	2.730447220810755e+279
0.0ms	-inf	-3.0890509898872547e+279

Compiler

Compiled 26 to 20 computations (23.1% saved)

regimes752.0ms (3.7%)

Counts

22 → 7

Calls

Call 1

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

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

Calls

7 calls:

243.0ms	(*.f64 a 2)
130.0ms	(*.f64 a 2)
128.0ms	a
73.0ms	t
64.0ms	z

Results

Error	Segments	Branch
17.6b	5	`x`
19.2b	5	`y`
17.5b	6	`z`
15.7b	7	`t`
20.3b	11	`a`
20.3b	11	`(*.f64 a 2)`
20.3b	11	`(*.f64 a 2)`

Compiler

Compiled 221 to 144 computations (34.8% saved)

bsearch151.0ms (0.7%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
25.0ms	1.426440366550298e+97	1.0770916284713357e+99
25.0ms	2.003576418661335e+62	1.9075952693640833e+66
25.0ms	2.6275924982909698e-73	2.8199578414942714e-70
25.0ms	-4.386380058600963e-177	-2.8029802956058426e-179
25.0ms	-7.78287283961909e-80	-1.0113231331647688e-80
26.0ms	-9.01781693283319e-33	-4.5874577799708237e-41

Compiler

Compiled 26 to 20 computations (23.1% saved)

regimes587.0ms (2.9%)

Counts

18 → 7

Calls

Call 1

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

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

Calls

6 calls:

121.0ms	z
120.0ms	a
116.0ms	(*.f64 a 2)
93.0ms	y
83.0ms	t

Results

Error	Segments	Branch
17.6b	5	`x`
19.2b	5	`y`
17.5b	6	`z`
15.7b	7	`t`
20.3b	11	`a`
20.3b	11	`(*.f64 a 2)`

Compiler

Compiled 175 to 114 computations (34.9% saved)

bsearch174.0ms (0.9%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
39.0ms	1.426440366550298e+97	1.0770916284713357e+99
26.0ms	2.003576418661335e+62	1.9075952693640833e+66
27.0ms	2.6275924982909698e-73	2.8199578414942714e-70
27.0ms	-4.386380058600963e-177	-2.8029802956058426e-179
29.0ms	-7.78287283961909e-80	-1.0113231331647688e-80
26.0ms	-9.01781693283319e-33	-4.5874577799708237e-41

Compiler

Compiled 26 to 20 computations (23.1% saved)

regimes551.0ms (2.7%)

Counts

16 → 7

Calls

Call 1

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

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

Calls

6 calls:

188.0ms	(*.f64 a 2)
165.0ms	a
57.0ms	t
50.0ms	z
41.0ms	y

Results

Error	Segments	Branch
17.6b	5	`x`
19.2b	5	`y`
17.5b	6	`z`
15.7b	7	`t`
20.3b	11	`a`
20.3b	11	`(*.f64 a 2)`

Compiler

Compiled 157 to 102 computations (35% saved)

bsearch148.0ms (0.7%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
24.0ms	1.426440366550298e+97	1.0770916284713357e+99
24.0ms	2.003576418661335e+62	1.9075952693640833e+66
24.0ms	2.6275924982909698e-73	2.8199578414942714e-70
25.0ms	-4.386380058600963e-177	-2.8029802956058426e-179
26.0ms	-7.78287283961909e-80	-1.0113231331647688e-80
25.0ms	-9.01781693283319e-33	-4.5874577799708237e-41

Compiler

Compiled 26 to 20 computations (23.1% saved)

regimes317.0ms (1.6%)

Counts

12 → 7

Calls

Call 1

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

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

Calls

6 calls:

81.0ms	(*.f64 a 2)
78.0ms	a
50.0ms	t
40.0ms	y
35.0ms	x

Results

Error	Segments	Branch
18.1b	5	`x`
19.9b	5	`y`
19.1b	4	`z`
16.3b	7	`t`
21.2b	11	`a`
21.2b	11	`(*.f64 a 2)`

Compiler

Compiled 127 to 84 computations (33.9% saved)

bsearch236.0ms (1.2%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
44.0ms	1.426440366550298e+97	1.0770916284713357e+99
51.0ms	2.003576418661335e+62	1.9075952693640833e+66
46.0ms	5.165401728485936e-20	1.9999392453143645e-19
39.0ms	-4.386380058600963e-177	-2.8029802956058426e-179
27.0ms	-7.78287283961909e-80	-1.0113231331647688e-80
28.0ms	-9.01781693283319e-33	-4.5874577799708237e-41

Compiler

Compiled 26 to 20 computations (23.1% saved)

regimes291.0ms (1.4%)

Counts

10 → 7

Calls

Call 1

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

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

Calls

6 calls:

81.0ms	(*.f64 a 2)
72.0ms	a
45.0ms	t
32.0ms	y
29.0ms	x

Results

Error	Segments	Branch
18.1b	5	`x`
20.0b	5	`y`
19.1b	4	`z`
16.3b	7	`t`
21.2b	11	`a`
21.2b	11	`(*.f64 a 2)`

Compiler

Compiled 113 to 76 computations (32.7% saved)

bsearch154.0ms (0.8%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
26.0ms	1.426440366550298e+97	1.0770916284713357e+99
26.0ms	2.003576418661335e+62	1.9075952693640833e+66
26.0ms	5.165401728485936e-20	1.9999392453143645e-19
25.0ms	-4.386380058600963e-177	-2.8029802956058426e-179
25.0ms	-7.78287283961909e-80	-1.0113231331647688e-80
25.0ms	-9.01781693283319e-33	-4.5874577799708237e-41

Compiler

Compiled 26 to 20 computations (23.1% saved)

regimes191.0ms (0.9%)

Counts

8 → 7

Calls

Call 1

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

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

Calls

5 calls:

66.0ms	a
39.0ms	t
28.0ms	y
28.0ms	z
27.0ms	x

Results

Error	Segments	Branch
18.1b	5	`x`
20.1b	5	`y`
19.1b	5	`z`
16.3b	7	`t`
21.3b	11	`a`

Compiler

Compiled 91 to 61 computations (33% saved)

bsearch180.0ms (0.9%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
29.0ms	1.7828854425027472e+99	1.2836876839401748e+102
46.0ms	2.003576418661335e+62	1.9075952693640833e+66
27.0ms	5.165401728485936e-20	1.9999392453143645e-19
25.0ms	-4.386380058600963e-177	-2.8029802956058426e-179
26.0ms	-7.78287283961909e-80	-1.0113231331647688e-80
26.0ms	-9.01781693283319e-33	-4.5874577799708237e-41

Compiler

Compiled 26 to 20 computations (23.1% saved)

regimes173.0ms (0.9%)

Counts

7 → 7

Calls

Call 1

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

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

Calls

5 calls:

62.0ms	a
35.0ms	t
25.0ms	y
25.0ms	z
24.0ms	x

Results

Error	Segments	Branch
18.2b	5	`x`
20.1b	5	`y`
19.1b	5	`z`
16.3b	7	`t`
21.3b	11	`a`

Compiler

Compiled 84 to 57 computations (32.1% saved)

bsearch155.0ms (0.8%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
25.0ms	1.7828854425027472e+99	1.2836876839401748e+102
26.0ms	2.003576418661335e+62	1.9075952693640833e+66
28.0ms	5.165401728485936e-20	1.9999392453143645e-19
25.0ms	-4.386380058600963e-177	-2.8029802956058426e-179
26.0ms	-7.78287283961909e-80	-1.0113231331647688e-80
25.0ms	-9.01781693283319e-33	-4.5874577799708237e-41

Compiler

Compiled 26 to 20 computations (23.1% saved)

regimes153.0ms (0.8%)

Counts

6 → 7

Calls

Call 1

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

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

Calls

5 calls:

55.0ms	a
33.0ms	t
24.0ms	y
24.0ms	x
15.0ms	z

Results

Error	Segments	Branch
18.2b	5	`x`
20.4b	5	`y`
20.9b	3	`z`
17.2b	7	`t`
22.1b	11	`a`

Compiler

Compiled 77 to 53 computations (31.2% saved)

bsearch154.0ms (0.8%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
25.0ms	1.7828854425027472e+99	1.2836876839401748e+102
25.0ms	2.003576418661335e+62	1.9075952693640833e+66
26.0ms	5.165401728485936e-20	1.9999392453143645e-19
25.0ms	-4.386380058600963e-177	-2.8029802956058426e-179
25.0ms	-7.78287283961909e-80	-1.0113231331647688e-80
26.0ms	-9.01781693283319e-33	-4.5874577799708237e-41

Compiler

Compiled 26 to 20 computations (23.1% saved)

regimes119.0ms (0.6%)

Counts

3 → 7

Calls

Call 1

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

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

Calls

5 calls:

40.0ms	a
25.0ms	t
22.0ms	x
19.0ms	y
11.0ms	z

Results

Error	Segments	Branch
18.7b	5	`x`
20.8b	5	`y`
21.5b	3	`z`
17.3b	7	`t`
23.1b	10	`a`

Compiler

Compiled 56 to 42 computations (25% saved)

bsearch154.0ms (0.8%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
26.0ms	1.7828854425027472e+99	1.2836876839401748e+102
26.0ms	2.003576418661335e+62	1.9075952693640833e+66
26.0ms	5.165401728485936e-20	1.9999392453143645e-19
25.0ms	-4.386380058600963e-177	-2.8029802956058426e-179
25.0ms	-1.0113231331647688e-80	-5.970800634134715e-81
26.0ms	-9.01781693283319e-33	-4.5874577799708237e-41

Compiler

Compiled 26 to 20 computations (23.1% saved)

regimes200.0ms (1%)

Accuracy

Total -39.6b remaining (-228.7%)

Threshold costs -39.6b (-228.7%)

Counts

2 → 7

Calls

Call 1

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

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

Calls

5 calls:

56.0ms	a
48.0ms	t
40.0ms	x
33.0ms	y
21.0ms	z

Results

Error	Segments	Branch
18.7b	5	`x`
20.8b	5	`y`
21.5b	3	`z`
17.3b	7	`t`
23.1b	10	`a`

Compiler

Compiled 49 to 38 computations (22.4% saved)

bsearch258.0ms (1.3%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
45.0ms	1.426440366550298e+97	1.0770916284713357e+99
43.0ms	2.003576418661335e+62	1.9075952693640833e+66
42.0ms	5.165401728485936e-20	1.9999392453143645e-19
43.0ms	-4.386380058600963e-177	-2.8029802956058426e-179
42.0ms	-1.0113231331647688e-80	-5.970800634134715e-81
43.0ms	-9.01781693283319e-33	-4.5874577799708237e-41

Compiler

Compiled 26 to 20 computations (23.1% saved)

simplify128.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

38×	`*-commutative_binary64`
14×	`+-commutative_binary64`
12×	`sub-neg_binary64`
12×	`neg-sub0_binary64`
12×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	138	1406
1	177	1406
2	204	1406
3	228	1406
4	254	1406
5	268	1406
6	274	1406
7	276	1406

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) -inf.0) (.f64 1/2 (+.f64 (/.f64 y (/.f64 a x)) (.f64 (.f64 -9 z) (/.f64 t a)))) (if (<=.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) 9999999999999999890870611821409196126784806260401358945180015464725302399110258148854112806457630061296658928320953898584032761523454337112604672) (/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) (.f64 a 2)) (.f64 1/2 (+.f64 (.f64 (/.f64 y a) x) (.f64 (*.f64 -9 z) (/.f64 t a))))))
(if (<=.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) -inf.0) (.f64 1/2 (+.f64 (.f64 (/.f64 y a) x) (.f64 (.f64 -9 z) (/.f64 t a)))) (if (<=.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) 9999999999999999890870611821409196126784806260401358945180015464725302399110258148854112806457630061296658928320953898584032761523454337112604672) (/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) (.f64 a 2)) (.f64 1/2 (+.f64 (.f64 (/.f64 y a) x) (.f64 (.f64 -9 z) (/.f64 t a))))))
(if (<=.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) -inf.0) (/.f64 y (/.f64 a (/.f64 x 2))) (if (<=.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) 500000000000000008608032298368227414415543912506619491164446008946190335622287523993960225937729797284303069430849145530155524612766474260348469402855720325061314257334714230178496312484014164775344612087642173365030358044414607127719847315059897273252756207808991071631335431459408181431059577374563631104) (/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) (.f64 a 2)) (/.f64 x (/.f64 (/.f64 a y) 1/2))))
(if (<=.f64 (.f64 x y) -inf.0) (/.f64 y (/.f64 a (/.f64 x 2))) (if (<=.f64 (.f64 x y) 200000000000000013104522191493575712823499934020710488024152771323555056217860874303389432945676521361520476916974680482142243229285217375886207988634517594158208309292880167137262965343121750872846190603318440437028470611163773764115697127698584069380700520547655522189312) (/.f64 (-.f64 (.f64 x y) (.f64 z (.f64 t 9))) (.f64 a 2)) (/.f64 x (/.f64 (/.f64 a y) 1/2))))
(if (<=.f64 t -13179554212486048/1461501637330902918203684832716283019655932542976) (.f64 z (.f64 t (/.f64 -9/2 a))) (if (<=.f64 t -166241154876473376/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (.f64 y (.f64 x (/.f64 1/2 a))) (if (<=.f64 t -20012598543689060/4562440617622195218641171605700291324893228507248559930579192517899275167208677386505912811317371399778642309573594407310688704721375437998252661319722214188251994674360264950082874192246603776) (/.f64 (.f64 -9 (.f64 t z)) (.f64 a 2)) (if (<=.f64 t 2090820488345827/7957171782556586274486115970349133441607298412757563479047423630290551952200534008528896) (/.f64 (.f64 y (.f64 1/2 x)) a) (if (<=.f64 t 200357641866133507466584150088618989867867084007320037590302720) (.f64 -9/2 (/.f64 (.f64 t z) a)) (if (<=.f64 t 14264403665502980745314073669005950457796736395215478704176528799237484166224273491482760290762752) (/.f64 y (/.f64 a (/.f64 x 2))) (.f64 (/.f64 t a) (*.f64 z -9/2))))))))
(if (<=.f64 t -13179554212486048/1461501637330902918203684832716283019655932542976) (.f64 z (.f64 t (/.f64 -9/2 a))) (if (<=.f64 t -166241154876473376/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (.f64 y (.f64 x (/.f64 1/2 a))) (if (<=.f64 t -20012598543689060/4562440617622195218641171605700291324893228507248559930579192517899275167208677386505912811317371399778642309573594407310688704721375437998252661319722214188251994674360264950082874192246603776) (.f64 (/.f64 1/2 a) (.f64 (.f64 z -9) t)) (if (<=.f64 t 2090820488345827/7957171782556586274486115970349133441607298412757563479047423630290551952200534008528896) (/.f64 (.f64 y (.f64 1/2 x)) a) (if (<=.f64 t 200357641866133507466584150088618989867867084007320037590302720) (.f64 -9/2 (/.f64 (.f64 t z) a)) (if (<=.f64 t 14264403665502980745314073669005950457796736395215478704176528799237484166224273491482760290762752) (/.f64 y (/.f64 a (/.f64 x 2))) (.f64 (/.f64 t a) (*.f64 z -9/2))))))))
(if (<=.f64 t -13179554212486048/1461501637330902918203684832716283019655932542976) (.f64 z (.f64 t (/.f64 -9/2 a))) (if (<=.f64 t -166241154876473376/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (.f64 y (.f64 x (/.f64 1/2 a))) (if (<=.f64 t -20012598543689060/4562440617622195218641171605700291324893228507248559930579192517899275167208677386505912811317371399778642309573594407310688704721375437998252661319722214188251994674360264950082874192246603776) (.f64 -9/2 (/.f64 (.f64 t z) a)) (if (<=.f64 t 2090820488345827/7957171782556586274486115970349133441607298412757563479047423630290551952200534008528896) (/.f64 (.f64 y (.f64 1/2 x)) a) (if (<=.f64 t 200357641866133507466584150088618989867867084007320037590302720) (.f64 -9/2 (/.f64 (.f64 t z) a)) (if (<=.f64 t 14264403665502980745314073669005950457796736395215478704176528799237484166224273491482760290762752) (/.f64 y (/.f64 a (/.f64 x 2))) (.f64 (/.f64 t a) (.f64 z -9/2))))))))
(if (<=.f64 t -13179554212486048/1461501637330902918203684832716283019655932542976) (.f64 z (.f64 t (/.f64 -9/2 a))) (if (<=.f64 t -166241154876473376/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (.f64 y (.f64 x (/.f64 1/2 a))) (if (<=.f64 t -20012598543689060/4562440617622195218641171605700291324893228507248559930579192517899275167208677386505912811317371399778642309573594407310688704721375437998252661319722214188251994674360264950082874192246603776) (/.f64 (.f64 t -9/2) (/.f64 a z)) (if (<=.f64 t 17576951262667010048/340282366920938463463374607431768211456) (/.f64 (.f64 y (.f64 1/2 x)) a) (if (<=.f64 t 200357641866133507466584150088618989867867084007320037590302720) (.f64 z (.f64 t (/.f64 -9/2 a))) (if (<=.f64 t 14264403665502980745314073669005950457796736395215478704176528799237484166224273491482760290762752) (/.f64 y (/.f64 a (/.f64 x 2))) (.f64 (/.f64 t a) (*.f64 z -9/2))))))))
(if (<=.f64 t -13179554212486048/1461501637330902918203684832716283019655932542976) (.f64 z (.f64 t (/.f64 -9/2 a))) (if (<=.f64 t -166241154876473376/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (/.f64 x (/.f64 (/.f64 a y) 1/2)) (if (<=.f64 t -20012598543689060/4562440617622195218641171605700291324893228507248559930579192517899275167208677386505912811317371399778642309573594407310688704721375437998252661319722214188251994674360264950082874192246603776) (/.f64 (.f64 t -9/2) (/.f64 a z)) (if (<=.f64 t 17576951262667010048/340282366920938463463374607431768211456) (/.f64 (.f64 y (.f64 1/2 x)) a) (if (<=.f64 t 200357641866133507466584150088618989867867084007320037590302720) (.f64 z (.f64 t (/.f64 -9/2 a))) (if (<=.f64 t 14264403665502980745314073669005950457796736395215478704176528799237484166224273491482760290762752) (/.f64 y (/.f64 a (/.f64 x 2))) (.f64 (/.f64 t a) (*.f64 z -9/2))))))))
(if (<=.f64 t -13179554212486048/1461501637330902918203684832716283019655932542976) (.f64 z (.f64 t (/.f64 -9/2 a))) (if (<=.f64 t -166241154876473376/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (/.f64 x (/.f64 (/.f64 a y) 1/2)) (if (<=.f64 t -20012598543689060/4562440617622195218641171605700291324893228507248559930579192517899275167208677386505912811317371399778642309573594407310688704721375437998252661319722214188251994674360264950082874192246603776) (/.f64 (.f64 t -9/2) (/.f64 a z)) (if (<=.f64 t 17576951262667010048/340282366920938463463374607431768211456) (/.f64 (.f64 y (.f64 1/2 x)) a) (if (<=.f64 t 200357641866133507466584150088618989867867084007320037590302720) (.f64 z (.f64 t (/.f64 -9/2 a))) (if (<=.f64 t 1782885442502747161626704479134578500123364351012190318330001569069005662749902338421815031764090880) (/.f64 x (.f64 a (/.f64 2 y))) (.f64 (/.f64 t a) (.f64 z -9/2))))))))
(if (<=.f64 t -13179554212486048/1461501637330902918203684832716283019655932542976) (.f64 z (.f64 t (/.f64 -9/2 a))) (if (<=.f64 t -166241154876473376/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (/.f64 x (.f64 a (/.f64 2 y))) (if (<=.f64 t -20012598543689060/4562440617622195218641171605700291324893228507248559930579192517899275167208677386505912811317371399778642309573594407310688704721375437998252661319722214188251994674360264950082874192246603776) (/.f64 (.f64 t -9/2) (/.f64 a z)) (if (<=.f64 t 17576951262667010048/340282366920938463463374607431768211456) (/.f64 (.f64 y (.f64 1/2 x)) a) (if (<=.f64 t 200357641866133507466584150088618989867867084007320037590302720) (.f64 z (.f64 t (/.f64 -9/2 a))) (if (<=.f64 t 1782885442502747161626704479134578500123364351012190318330001569069005662749902338421815031764090880) (/.f64 x (.f64 a (/.f64 2 y))) (.f64 (/.f64 t a) (*.f64 z -9/2))))))))
(if (<=.f64 t -13179554212486048/1461501637330902918203684832716283019655932542976) (.f64 z (.f64 t (/.f64 -9/2 a))) (if (<=.f64 t -166241154876473376/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (/.f64 x (.f64 a (/.f64 2 y))) (if (<=.f64 t -20012598543689060/4562440617622195218641171605700291324893228507248559930579192517899275167208677386505912811317371399778642309573594407310688704721375437998252661319722214188251994674360264950082874192246603776) (/.f64 (.f64 t -9/2) (/.f64 a z)) (if (<=.f64 t 17576951262667010048/340282366920938463463374607431768211456) (/.f64 x (.f64 a (/.f64 2 y))) (if (<=.f64 t 200357641866133507466584150088618989867867084007320037590302720) (.f64 z (.f64 t (/.f64 -9/2 a))) (if (<=.f64 t 1782885442502747161626704479134578500123364351012190318330001569069005662749902338421815031764090880) (/.f64 x (.f64 a (/.f64 2 y))) (.f64 (/.f64 t a) (.f64 z -9/2))))))))
(if (<=.f64 t -13179554212486048/1461501637330902918203684832716283019655932542976) (.f64 z (.f64 t (/.f64 -9/2 a))) (if (<=.f64 t -21601731015668624/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (/.f64 x (.f64 a (/.f64 2 y))) (if (<=.f64 t -20012598543689060/4562440617622195218641171605700291324893228507248559930579192517899275167208677386505912811317371399778642309573594407310688704721375437998252661319722214188251994674360264950082874192246603776) (.f64 z (.f64 t (/.f64 -9/2 a))) (if (<=.f64 t 17576951262667010048/340282366920938463463374607431768211456) (/.f64 x (.f64 a (/.f64 2 y))) (if (<=.f64 t 200357641866133507466584150088618989867867084007320037590302720) (.f64 z (.f64 t (/.f64 -9/2 a))) (if (<=.f64 t 1782885442502747161626704479134578500123364351012190318330001569069005662749902338421815031764090880) (/.f64 x (.f64 a (/.f64 2 y))) (.f64 (/.f64 t a) (*.f64 z -9/2))))))))
(if (<=.f64 t -13179554212486048/1461501637330902918203684832716283019655932542976) (.f64 z (.f64 t (/.f64 -9/2 a))) (if (<=.f64 t -21601731015668624/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (/.f64 x (.f64 a (/.f64 2 y))) (if (<=.f64 t -20012598543689060/4562440617622195218641171605700291324893228507248559930579192517899275167208677386505912811317371399778642309573594407310688704721375437998252661319722214188251994674360264950082874192246603776) (.f64 z (.f64 t (/.f64 -9/2 a))) (if (<=.f64 t 17576951262667010048/340282366920938463463374607431768211456) (/.f64 x (.f64 a (/.f64 2 y))) (if (<=.f64 t 200357641866133507466584150088618989867867084007320037590302720) (.f64 z (.f64 t (/.f64 -9/2 a))) (if (<=.f64 t 14264403665502980745314073669005950457796736395215478704176528799237484166224273491482760290762752) (/.f64 x (.f64 a (/.f64 2 y))) (.f64 z (*.f64 t (/.f64 -9/2 a)))))))))
(.f64 z (.f64 t (/.f64 -9/2 a)))

Outputs
(if (<=.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) -inf.0) (.f64 1/2 (+.f64 (/.f64 y (/.f64 a x)) (.f64 (.f64 -9 z) (/.f64 t a)))) (if (<=.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) 9999999999999999890870611821409196126784806260401358945180015464725302399110258148854112806457630061296658928320953898584032761523454337112604672) (/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) (.f64 a 2)) (.f64 1/2 (+.f64 (.f64 (/.f64 y a) x) (.f64 (*.f64 -9 z) (/.f64 t a))))))
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(.f64 z (.f64 t (/.f64 -9/2 a)))

Compiler

Compiled 1040 to 668 computations (35.8% saved)

soundness647.0ms (3.2%)

Algorithm

4×	egg-herbie

Rules

789×	`fma-def_binary64`
789×	`fma-def_binary64`
757×	`fma-neg_binary64`
757×	`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	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

Stop Event

1×	saturated
1×	node limit
1×	saturated
1×	node limit

Compiler

Compiled 1466 to 1092 computations (25.5% saved)

end385.0ms (1.9%)

Compiler: Compiled 1258 to 748 computations (40.5% saved)