Details

analyze344.0ms (8.2%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	99.8%	0.2%	0%	0%	0%	3
0%	0%	99.8%	0.2%	0%	0%	0%	4
0%	0%	99.8%	0.2%	0%	0%	0%	5
0%	0%	99.8%	0.2%	0%	0%	0%	6
0%	0%	99.8%	0.2%	0%	0%	0%	7
0%	0%	99.8%	0.2%	0%	0%	0%	8
0%	0%	99.8%	0.2%	0%	0%	0%	9
1.6%	1.6%	98.2%	0.2%	0%	0%	0%	10
2.3%	2.3%	97.5%	0.2%	0%	0%	0%	11
3.9%	3.9%	95.9%	0.2%	0%	0%	0%	12

Compiler

Compiled 14 to 9 computations (35.7% saved)

sample1.3s (30%)

Results

1.0s	8256×	body	256	valid
219.0ms	1625×	body	256	infinite

Bogosity

preprocess99.0ms (2.4%)

Algorithm

2×	egg-herbie

Rules

869×	`swap-sqr_binary64`
546×	`associate-/l*_binary64`
503×	`associate-/l/_binary64`
501×	`associate-/r/_binary64`
470×	`cube-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	91
1	84	70
2	243	49
3	585	49
4	4258	49
5	4332	49
6	4970	49
7	6704	49
0	4	4
1	4	4

Stop Event

1×	unsound
1×	node limit

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
0
2
3

Call 2

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

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

Symmetry

(sort x y)

Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify73.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1441×	`associate-/l/_binary64`
1020×	`associate-/r/_binary64`
1016×	`associate-/l*_binary64`
703×	`associate-*l/_binary64`
631×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	17	10
2	43	7
3	104	7
4	454	7
5	2329	7
6	2523	7
7	2536	7
8	2549	7
9	2556	7
10	2563	7
11	2570	7
12	2577	7
13	2584	7
14	2591	7
15	2598	7
16	2605	7
17	2612	7
18	2619	7
19	2626	7
20	2633	7

Stop Event

1×	node limit

Counts

1 → 6

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 44 to 19 computations (56.8% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	3	3	6
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	4	3	7

Error

0.0b

Counts

7 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	6.5b	(/.f64 x (/.f64 z y))
▶	7.0b	(*.f64 y (/.f64 x z))
▶	6.1b	(*.f64 x (/.f64 y z))

Compiler

Compiled 27 to 18 computations (33.3% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.9b	(*.f64 x (/.f64 y z))

Compiler

Compiled 15 to 6 computations (60% saved)

series6.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite67.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

681×	`pow1_binary64`
628×	`add-log-exp_binary64`
628×	`log1p-expm1-u_binary64`
628×	`expm1-log1p-u_binary64`
613×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	125	7
2	1672	7

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

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

Outputs

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

simplify43.0ms (1%)

Algorithm

1×	egg-herbie

Rules

754×	`log-prod_binary64`
453×	`associate-l_binary64`
406×	`associate-r_binary64`
312×	`log-div_binary64`
301×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	406
1	154	406
2	574	406
3	4143	406

Stop Event

1×	node limit

Counts

58 → 25

Calls

Call 1

Inputs
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(-.f64 (+.f64 1 (*.f64 x (/.f64 y z))) 1)
(/.f64 x (/.f64 z y))
(/.f64 1 (/.f64 z (*.f64 x y)))
(/.f64 (*.f64 x y) z)
(/.f64 (neg.f64 (*.f64 x y)) (neg.f64 z))
(/.f64 (/.f64 (*.f64 x y) 1) z)
(/.f64 (/.f64 (*.f64 x y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(/.f64 (/.f64 (*.f64 x y) (sqrt.f64 z)) (sqrt.f64 z))
(/.f64 (*.f64 (neg.f64 y) x) (neg.f64 z))
(/.f64 (*.f64 x (neg.f64 y)) (neg.f64 z))
(pow.f64 (*.f64 x (/.f64 y z)) 1)
(pow.f64 (pow.f64 (*.f64 x (/.f64 y z)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 y z))) 3)
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 y z))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 y z)) 2))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 y z)))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 y z)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 y z) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 y z) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 y z))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 y z))))
(exp.f64 (log.f64 (*.f64 x (/.f64 y z))))

Outputs
(/.f64 (*.f64 y x) z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(-.f64 (+.f64 1 (*.f64 x (/.f64 y z))) 1)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 x (/.f64 z y))
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 1 (/.f64 z (*.f64 x y)))
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (neg.f64 (*.f64 x y)) (neg.f64 z))
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (/.f64 (*.f64 x y) 1) z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (/.f64 (*.f64 x y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (/.f64 (*.f64 x y) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 (neg.f64 y) x) (neg.f64 z))
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 x (neg.f64 y)) (neg.f64 z))
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(pow.f64 (*.f64 x (/.f64 y z)) 1)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(pow.f64 (pow.f64 (*.f64 x (/.f64 y z)) 3) 1/3)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 y z))) 3)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 y z))) 2)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 y z)) 2))
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 y z)))
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 y z)) 3))
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 y z) 3)))
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 y z) 3) (pow.f64 x 3)))
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 y z))))
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 y z))))
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(exp.f64 (log.f64 (*.f64 x (/.f64 y z))))
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	6.8b	(*.f64 y (/.f64 x z))

Compiler

Compiled 15 to 6 computations (60% saved)

series4.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite38.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

681×	`pow1_binary64`
628×	`add-log-exp_binary64`
628×	`log1p-expm1-u_binary64`
628×	`expm1-log1p-u_binary64`
613×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	125	7
2	1672	7

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

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

Outputs

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

simplify45.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

740×	`log-prod_binary64`
419×	`associate-l_binary64`
397×	`associate-r_binary64`
293×	`fma-def_binary64`
292×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	406
1	152	406
2	563	406
3	3967	406

Stop Event

1×	node limit

Counts

58 → 24

Calls

Call 1

Inputs
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(-.f64 (+.f64 1 (*.f64 y (/.f64 x z))) 1)
(/.f64 y (/.f64 z x))
(/.f64 1 (/.f64 z (*.f64 y x)))
(/.f64 (*.f64 y x) z)
(/.f64 (neg.f64 (*.f64 y x)) (neg.f64 z))
(/.f64 (/.f64 (*.f64 y x) 1) z)
(/.f64 (/.f64 (*.f64 y x) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(/.f64 (/.f64 (*.f64 y x) (sqrt.f64 z)) (sqrt.f64 z))
(/.f64 (*.f64 (neg.f64 x) y) (neg.f64 z))
(/.f64 (*.f64 y (neg.f64 x)) (neg.f64 z))
(pow.f64 (*.f64 y (/.f64 x z)) 1)
(pow.f64 (pow.f64 (*.f64 y (/.f64 x z)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 y (/.f64 x z))) 3)
(pow.f64 (sqrt.f64 (*.f64 y (/.f64 x z))) 2)
(sqrt.f64 (pow.f64 (*.f64 y (/.f64 x z)) 2))
(log.f64 (pow.f64 (exp.f64 y) (/.f64 x z)))
(cbrt.f64 (pow.f64 (*.f64 y (/.f64 x z)) 3))
(cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (/.f64 x z) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (*.f64 y (/.f64 x z))))
(log1p.f64 (expm1.f64 (*.f64 y (/.f64 x z))))
(exp.f64 (log.f64 (*.f64 y (/.f64 x z))))

Outputs
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(-.f64 (+.f64 1 (*.f64 y (/.f64 x z))) 1)
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(/.f64 y (/.f64 z x))
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(/.f64 1 (/.f64 z (*.f64 y x)))
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(/.f64 (neg.f64 (*.f64 y x)) (neg.f64 z))
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(/.f64 (/.f64 (*.f64 y x) 1) z)
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(/.f64 (/.f64 (*.f64 y x) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(/.f64 (/.f64 (*.f64 y x) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 (neg.f64 x) y) (neg.f64 z))
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y (neg.f64 x)) (neg.f64 z))
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(pow.f64 (*.f64 y (/.f64 x z)) 1)
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(pow.f64 (pow.f64 (*.f64 y (/.f64 x z)) 3) 1/3)
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(pow.f64 (cbrt.f64 (*.f64 y (/.f64 x z))) 3)
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(pow.f64 (sqrt.f64 (*.f64 y (/.f64 x z))) 2)
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(sqrt.f64 (pow.f64 (*.f64 y (/.f64 x z)) 2))
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(log.f64 (pow.f64 (exp.f64 y) (/.f64 x z)))
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(cbrt.f64 (pow.f64 (*.f64 y (/.f64 x z)) 3))
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (/.f64 x z) 3)))
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 y 3)))
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(expm1.f64 (log1p.f64 (*.f64 y (/.f64 x z))))
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(log1p.f64 (expm1.f64 (*.f64 y (/.f64 x z))))
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(exp.f64 (log.f64 (*.f64 y (/.f64 x z))))
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	6.4b	(/.f64 x (/.f64 z y))

Compiler

Compiled 15 to 6 computations (60% saved)

series3.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite42.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

780×	`pow1_binary64`
724×	`add-log-exp_binary64`
724×	`log1p-expm1-u_binary64`
724×	`expm1-log1p-u_binary64`
707×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	131	7
2	1915	7

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

Inputs
(/.f64 x (/.f64 z y))

Outputs

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

simplify42.0ms (1%)

Algorithm

1×	egg-herbie

Rules

668×	`log-div_binary64`
583×	`log-prod_binary64`
488×	`associate-*l/_binary64`
439×	`fma-def_binary64`
429×	`associate-/l*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	113	618
1	295	606
2	1013	606
3	5692	606

Stop Event

1×	node limit

Counts

77 → 48

Calls

Call 1

Inputs
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(-.f64 (+.f64 1 (*.f64 x (/.f64 y z))) 1)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(.f64 (.f64 x (/.f64 y z)) 1)
(.f64 1 (.f64 x (/.f64 y z)))
(.f64 (cbrt.f64 (.f64 x (/.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 y z))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (/.f64 y z))) 2) (cbrt.f64 (*.f64 x (/.f64 y z))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 y z)))
(.f64 (sqrt.f64 (.f64 x (/.f64 y z))) (sqrt.f64 (*.f64 x (/.f64 y z))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 y z)))
(*.f64 (neg.f64 x) (/.f64 1 (/.f64 (neg.f64 z) y)))
(*.f64 (/.f64 y z) x)
(*.f64 (/.f64 x z) y)
(*.f64 (/.f64 1 z) (/.f64 x (/.f64 1 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) z) (/.f64 (cbrt.f64 x) (/.f64 1 y)))
(*.f64 (/.f64 (sqrt.f64 x) z) (/.f64 (sqrt.f64 x) (/.f64 1 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 z y)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 z y)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 z y)) 2)) (/.f64 x (cbrt.f64 (/.f64 z y))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 z y)) 2)) (cbrt.f64 (.f64 x (/.f64 y z))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 z y)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 z y))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 z y))) (/.f64 x (sqrt.f64 (/.f64 z y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (/.f64 z y))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 z y))))
(*.f64 (/.f64 x 1) (/.f64 y z))
(*.f64 (/.f64 x (neg.f64 z)) (neg.f64 y))
(.f64 (.f64 (/.f64 x z) 1) y)
(.f64 (.f64 (/.f64 x z) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(.f64 (.f64 (/.f64 x z) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (*.f64 x (/.f64 y z)) 1)
(pow.f64 (pow.f64 (*.f64 x (/.f64 y z)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 y z))) 3)
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 y z))) 2)
(pow.f64 (/.f64 z (*.f64 x y)) -1)
(neg.f64 (/.f64 x (/.f64 (neg.f64 z) y)))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 y z)) 2))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 y z)))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 y z)) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 z y) 3)))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 y z))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 y z))))
(exp.f64 (log.f64 (*.f64 x (/.f64 y z))))

Outputs
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(-.f64 (+.f64 1 (*.f64 x (/.f64 y z))) 1)
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(*.f64 y (/.f64 x z))
(.f64 (.f64 x (/.f64 y z)) 1)
(*.f64 y (/.f64 x z))
(.f64 1 (.f64 x (/.f64 y z)))
(*.f64 y (/.f64 x z))
(.f64 (cbrt.f64 (.f64 x (/.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 y z))) 2))
(*.f64 y (/.f64 x z))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (/.f64 y z))) 2) (cbrt.f64 (*.f64 x (/.f64 y z))))
(*.f64 y (/.f64 x z))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 y z)))
(*.f64 y (/.f64 x z))
(.f64 (sqrt.f64 (.f64 x (/.f64 y z))) (sqrt.f64 (*.f64 x (/.f64 y z))))
(*.f64 y (/.f64 x z))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 y z)))
(*.f64 y (/.f64 x z))
(*.f64 (neg.f64 x) (/.f64 1 (/.f64 (neg.f64 z) y)))
(*.f64 y (/.f64 x z))
(*.f64 (/.f64 y z) x)
(*.f64 y (/.f64 x z))
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))
(*.f64 (/.f64 1 z) (/.f64 x (/.f64 1 y)))
(*.f64 y (/.f64 x z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) z) (/.f64 (cbrt.f64 x) (/.f64 1 y)))
(*.f64 y (/.f64 x z))
(*.f64 (/.f64 (sqrt.f64 x) z) (/.f64 (sqrt.f64 x) (/.f64 1 y)))
(*.f64 y (/.f64 x z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 z y)))
(*.f64 y (/.f64 x z))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 z y)))
(*.f64 y (/.f64 x z))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 z y)) 2)) (/.f64 x (cbrt.f64 (/.f64 z y))))
(/.f64 (/.f64 x (cbrt.f64 (/.f64 z y))) (pow.f64 (cbrt.f64 (/.f64 z y)) 2))
(/.f64 x (*.f64 (pow.f64 (cbrt.f64 (/.f64 z y)) 2) (cbrt.f64 (/.f64 z y))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 z y)) 2)) (cbrt.f64 (.f64 x (/.f64 y z))))
(.f64 (cbrt.f64 (.f64 y (/.f64 x z))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 z y)) 2)))
(/.f64 (.f64 (cbrt.f64 (.f64 y (/.f64 x z))) (pow.f64 (cbrt.f64 x) 2)) (pow.f64 (cbrt.f64 (/.f64 z y)) 2))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 z y)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 z y))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 z y)) 2)) (/.f64 x (cbrt.f64 (/.f64 z y))))
(/.f64 (/.f64 x (cbrt.f64 (/.f64 z y))) (pow.f64 (cbrt.f64 (/.f64 z y)) 2))
(/.f64 x (*.f64 (pow.f64 (cbrt.f64 (/.f64 z y)) 2) (cbrt.f64 (/.f64 z y))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 z y))) (/.f64 x (sqrt.f64 (/.f64 z y))))
(/.f64 (/.f64 x (sqrt.f64 (/.f64 z y))) (sqrt.f64 (/.f64 z y)))
(/.f64 x (*.f64 (sqrt.f64 (/.f64 z y)) (sqrt.f64 (/.f64 z y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (/.f64 z y))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 z y))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 z y))) (/.f64 x (sqrt.f64 (/.f64 z y))))
(/.f64 (/.f64 x (sqrt.f64 (/.f64 z y))) (sqrt.f64 (/.f64 z y)))
(/.f64 x (*.f64 (sqrt.f64 (/.f64 z y)) (sqrt.f64 (/.f64 z y))))
(*.f64 (/.f64 x 1) (/.f64 y z))
(*.f64 y (/.f64 x z))
(*.f64 (/.f64 x (neg.f64 z)) (neg.f64 y))
(*.f64 y (/.f64 x z))
(.f64 (.f64 (/.f64 x z) 1) y)
(*.f64 y (/.f64 x z))
(.f64 (.f64 (/.f64 x z) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(*.f64 y (/.f64 x z))
(.f64 (.f64 (/.f64 x z) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 y (/.f64 x z))
(pow.f64 (*.f64 x (/.f64 y z)) 1)
(*.f64 y (/.f64 x z))
(pow.f64 (pow.f64 (*.f64 x (/.f64 y z)) 3) 1/3)
(*.f64 y (/.f64 x z))
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 y z))) 3)
(*.f64 y (/.f64 x z))
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 y z))) 2)
(*.f64 y (/.f64 x z))
(pow.f64 (/.f64 z (*.f64 x y)) -1)
(*.f64 y (/.f64 x z))
(neg.f64 (/.f64 x (/.f64 (neg.f64 z) y)))
(*.f64 y (/.f64 x z))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 y z)) 2))
(*.f64 y (/.f64 x z))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 y z)))
(*.f64 y (/.f64 x z))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 y z)) 3))
(*.f64 y (/.f64 x z))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 z y) 3)))
(*.f64 y (/.f64 x z))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 y z))))
(*.f64 y (/.f64 x z))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 y z))))
(*.f64 y (/.f64 x z))
(exp.f64 (log.f64 (*.f64 x (/.f64 y z))))
(*.f64 y (/.f64 x z))

eval33.0ms (0.8%)

Compiler: Compiled 851 to 292 computations (65.7% saved)

prune37.0ms (0.9%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	93	4	97
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	93	7	100

Error

Counts

100 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	8.1b	(/.f64 (*.f64 y x) z)
✓	6.5b	(/.f64 x (/.f64 z y))
▶	8.5b	(/.f64 1 (/.f64 z (*.f64 y x)))
▶	7.3b	(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 z y)))
▶	8.3b	(*.f64 (/.f64 1 z) (/.f64 x (/.f64 1 y)))
✓	7.0b	(*.f64 y (/.f64 x z))
✓	6.1b	(*.f64 x (/.f64 y z))

Compiler

Compiled 77 to 54 computations (29.9% saved)

localize11.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 x (/.f64 1 y))
✓	8.0b	(*.f64 (/.f64 1 z) (/.f64 x (/.f64 1 y)))

Compiler

Compiled 28 to 18 computations (35.7% saved)

series4.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

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

rewrite61.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

493×	`log-prod_binary64`
444×	`prod-exp_binary64`
381×	`exp-prod_binary64`
333×	`pow-prod-down_binary64`
241×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	193	11
2	2646	11

Stop Event

1×	node limit

Counts

2 → 148

Calls

Call 1

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

Outputs

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

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

simplify83.0ms (2%)

Algorithm

1×	egg-herbie

Rules

784×	`fma-def_binary64`
351×	`distribute-rgt-in_binary64`
315×	`log-prod_binary64`
207×	`div-sub_binary64`
206×	`cube-prod_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	358	1416
1	916	1364
2	2918	1364

Stop Event

1×	node limit

Counts

208 → 170

Calls

Call 1

Inputs
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(+.f64 0 (*.f64 x (/.f64 y z)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 y z))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 y z)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 y z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 y z)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 y z)))) 1)
(/.f64 1 (*.f64 z (/.f64 (/.f64 1 y) x)))
(/.f64 1 (*.f64 (/.f64 (/.f64 1 y) x) z))
(/.f64 1 (/.f64 (/.f64 z y) x))
(/.f64 1 (/.f64 z (*.f64 x y)))
(/.f64 1 (/.f64 (/.f64 1 y) (/.f64 x z)))
(/.f64 (/.f64 1 z) (/.f64 (/.f64 1 y) x))
(/.f64 x (/.f64 z y))
(/.f64 (*.f64 x y) z)
(/.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2) (/.f64 z (cbrt.f64 (.f64 x y))))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (/.f64 z y) (cbrt.f64 x)))
(/.f64 (sqrt.f64 (.f64 x y)) (/.f64 z (sqrt.f64 (.f64 x y))))
(/.f64 (sqrt.f64 x) (/.f64 (/.f64 z y) (sqrt.f64 x)))
(/.f64 -1 (*.f64 (neg.f64 z) (/.f64 (/.f64 1 y) x)))
(/.f64 -1 (*.f64 (/.f64 (/.f64 1 y) x) (neg.f64 z)))
(/.f64 (neg.f64 x) (neg.f64 (/.f64 z y)))
(/.f64 (neg.f64 x) (*.f64 (neg.f64 z) (/.f64 1 y)))
(/.f64 (neg.f64 x) (*.f64 z (/.f64 -1 y)))
(/.f64 (/.f64 x z) (/.f64 1 y))
(/.f64 (neg.f64 (*.f64 x y)) (neg.f64 z))
(/.f64 (neg.f64 (/.f64 x z)) (/.f64 -1 y))
(/.f64 (.f64 -1 (neg.f64 x)) (.f64 (neg.f64 z) (/.f64 -1 y)))
(/.f64 (.f64 (neg.f64 x) 1) (.f64 (/.f64 -1 y) z))
(/.f64 (.f64 x -1) (.f64 (/.f64 1 y) (neg.f64 z)))
(/.f64 (.f64 (neg.f64 x) -1) (.f64 (/.f64 -1 y) (neg.f64 z)))
(/.f64 (/.f64 (*.f64 x y) (sqrt.f64 z)) (sqrt.f64 z))
(/.f64 (/.f64 (/.f64 x z) 1) (/.f64 1 y))
(/.f64 (/.f64 (*.f64 x y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(/.f64 (/.f64 (/.f64 x z) (cbrt.f64 (pow.f64 y -2))) (/.f64 1 (cbrt.f64 y)))
(/.f64 (/.f64 (/.f64 x z) (pow.f64 y -1/2)) (pow.f64 y -1/2))
(/.f64 (.f64 -1 (.f64 x y)) (neg.f64 z))
(/.f64 (*.f64 (neg.f64 x) (/.f64 1 z)) (/.f64 -1 y))
(/.f64 (*.f64 (/.f64 1 z) (neg.f64 x)) (/.f64 -1 y))
(/.f64 (.f64 (.f64 x y) -1) (neg.f64 z))
(pow.f64 (*.f64 x (/.f64 y z)) 1)
(pow.f64 (E.f64) (log.f64 (*.f64 x (/.f64 y z))))
(pow.f64 (pow.f64 (*.f64 x (/.f64 y z)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 x (/.f64 y z)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 y z))) 3)
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 y z))) 2)
(pow.f64 (/.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 z 3)) 1/3)
(pow.f64 (*.f64 z (/.f64 (/.f64 1 y) x)) -1)
(pow.f64 (*.f64 (/.f64 (/.f64 1 y) x) z) -1)
(pow.f64 (/.f64 (/.f64 z y) x) -1)
(pow.f64 (/.f64 z (*.f64 x y)) -1)
(pow.f64 (/.f64 (/.f64 1 y) (/.f64 x z)) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (/.f64 y z)))) 2)) (cbrt.f64 (log.f64 (.f64 x (/.f64 y z)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (/.f64 y z))))) (sqrt.f64 (log.f64 (.f64 x (/.f64 y z)))))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 y z)) 2))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 y z)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 y z)))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 y z)) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 z 3)))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 y z))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 y z))))
(exp.f64 (log.f64 (*.f64 x (/.f64 y z))))
(exp.f64 (.f64 (log.f64 (.f64 x (/.f64 y z))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x (/.f64 y z)))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (/.f64 y z)))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (/.f64 y z)))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (/.f64 y z))) 1) 1))
(exp.f64 (-.f64 (.f64 (log.f64 z) -1) (neg.f64 (log.f64 (.f64 x y)))))
(exp.f64 (-.f64 (.f64 (neg.f64 (log.f64 z)) 1) (neg.f64 (log.f64 (.f64 x y)))))
(exp.f64 (-.f64 (*.f64 (log.f64 x) 1) (log.f64 (/.f64 z y))))
(exp.f64 (-.f64 (.f64 (log.f64 (.f64 x y)) 1) (log.f64 z)))
(exp.f64 (-.f64 (log.f64 (.f64 x y)) (.f64 (log.f64 z) 1)))
(exp.f64 (-.f64 (.f64 (log.f64 (.f64 x y)) 1) (*.f64 (log.f64 z) 1)))
(exp.f64 (-.f64 (log.f64 (/.f64 x z)) (*.f64 (log.f64 y) -1)))
(exp.f64 (-.f64 (log.f64 (/.f64 x z)) (*.f64 (neg.f64 (log.f64 y)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 z) -1) (log.f64 (.f64 x y))))
(exp.f64 (+.f64 (.f64 (neg.f64 (log.f64 z)) 1) (log.f64 (.f64 x y))))
(exp.f64 (+.f64 (neg.f64 (log.f64 z)) (.f64 (log.f64 (.f64 x y)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 z) -1) (.f64 (log.f64 (*.f64 x y)) 1)))
(exp.f64 (+.f64 (.f64 (neg.f64 (log.f64 z)) 1) (.f64 (log.f64 (*.f64 x y)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 x y)) 1) (neg.f64 (log.f64 z))))
(exp.f64 (+.f64 (log.f64 (.f64 x y)) (.f64 (log.f64 z) -1)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 x y)) 1) (*.f64 (log.f64 z) -1)))
(exp.f64 (+.f64 (log.f64 (.f64 x y)) (.f64 (neg.f64 (log.f64 z)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 x y)) 1) (*.f64 (neg.f64 (log.f64 z)) 1)))
(exp.f64 (+.f64 (log.f64 (/.f64 x z)) (*.f64 (log.f64 y) 1)))
(+.f64 0 (*.f64 x y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x y))) 1)
(.f64 1 (.f64 x y))
(*.f64 x y)
(*.f64 y x)
(.f64 (.f64 x y) 1)
(.f64 (cbrt.f64 (.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x y)) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2) (cbrt.f64 (*.f64 x y)))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) y))
(.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (*.f64 x y)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) y))
(*.f64 (sqrt.f64 y) (/.f64 x (pow.f64 y -1/2)))
(*.f64 (neg.f64 x) (/.f64 1 (/.f64 -1 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 1 y)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 1 y)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 y -2))) (/.f64 x (/.f64 1 (cbrt.f64 y))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 y -2))) (cbrt.f64 (.f64 x y)))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 y -2))) (/.f64 (sqrt.f64 x) (/.f64 1 (cbrt.f64 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 y -1/2)) (/.f64 (cbrt.f64 x) (pow.f64 y -1/2)))
(*.f64 (/.f64 x -1) (neg.f64 y))
(.f64 (.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(.f64 (.f64 x (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (*.f64 x y) 1)
(pow.f64 (E.f64) (log.f64 (*.f64 x y)))
(pow.f64 (pow.f64 (*.f64 x y) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 x y) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x y)) 3)
(pow.f64 (sqrt.f64 (*.f64 x y)) 2)
(pow.f64 (/.f64 (/.f64 1 y) x) -1)
(pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 y -3)) 1/3)
(pow.f64 (/.f64 (/.f64 (/.f64 1 y) x) 1) -1)
(pow.f64 (*.f64 (pow.f64 x 3) (pow.f64 y 3)) 1/3)
(pow.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 3)) 1/3)
(pow.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 x)) 3)
(pow.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 x)) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x y))) 2)) (cbrt.f64 (log.f64 (.f64 x y))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x y)))) (sqrt.f64 (log.f64 (.f64 x y))))
(neg.f64 (/.f64 x (/.f64 -1 y)))
(sqrt.f64 (pow.f64 (*.f64 x y) 2))
(log.f64 (pow.f64 (exp.f64 y) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x y))))
(cbrt.f64 (pow.f64 (*.f64 x y) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 y -3)))
(expm1.f64 (log1p.f64 (*.f64 x y)))
(log1p.f64 (expm1.f64 (*.f64 x y)))
(exp.f64 (log.f64 (*.f64 x y)))
(exp.f64 (.f64 (log.f64 (.f64 x y)) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x y))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x y))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x y))) 2))
(exp.f64 (.f64 (neg.f64 (log.f64 (.f64 x y))) -1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x y)) 1) 1))
(exp.f64 (-.f64 (*.f64 (log.f64 x) 1) (neg.f64 (log.f64 y))))
(exp.f64 (-.f64 (log.f64 x) (*.f64 (log.f64 y) -1)))
(exp.f64 (-.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 y) -1)))
(exp.f64 (-.f64 (log.f64 x) (*.f64 (neg.f64 (log.f64 y)) 1)))
(exp.f64 (-.f64 (.f64 (log.f64 x) 1) (.f64 (neg.f64 (log.f64 y)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 y)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 y) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 y) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 y) 1) (log.f64 x)))
(exp.f64 (+.f64 (log.f64 y) (*.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 y) 1) (.f64 (log.f64 x) 1)))

Outputs
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 x z) y)
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(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 x z) y)
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(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 x z) y)
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(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 x z) y)
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(/.f64 (*.f64 y x) z)
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(/.f64 (*.f64 y x) z)
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(/.f64 (*.f64 y x) z)
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(/.f64 (*.f64 y x) z)
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(/.f64 (*.f64 y x) z)
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(/.f64 (*.f64 y x) z)
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(/.f64 (*.f64 y x) z)
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(/.f64 (*.f64 y x) z)
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(/.f64 (*.f64 y x) z)
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(/.f64 (*.f64 y x) z)
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(/.f64 (*.f64 y x) z)
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(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 x z) y)
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(/.f64 (*.f64 y x) z)
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(/.f64 (*.f64 y x) z)
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(/.f64 (*.f64 y x) z)
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(/.f64 (*.f64 y x) z)
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(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 x z) y)
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(*.f64 y x)
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(*.f64 y x)
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(*.f64 y x)
(+.f64 0 (*.f64 x (/.f64 y z)))
(*.f64 (/.f64 x z) y)
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(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 y z))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 y z)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 y z))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 y z)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 y z)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 y z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 y z)))))
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 y z)))) 1)
(*.f64 (/.f64 x z) y)
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(/.f64 1 (*.f64 z (/.f64 (/.f64 1 y) x)))
(*.f64 (/.f64 x z) y)
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(/.f64 1 (/.f64 z (*.f64 x y)))
(*.f64 (/.f64 x z) y)
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(/.f64 1 (/.f64 (/.f64 1 y) (/.f64 x z)))
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))
(/.f64 (/.f64 1 z) (/.f64 (/.f64 1 y) x))
(*.f64 (/.f64 x z) y)
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(/.f64 x (/.f64 z y))
(*.f64 (/.f64 x z) y)
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(/.f64 (*.f64 x y) z)
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))
(/.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2) (/.f64 z (cbrt.f64 (.f64 x y))))
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (/.f64 z y) (cbrt.f64 x)))
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))
(/.f64 (sqrt.f64 (.f64 x y)) (/.f64 z (sqrt.f64 (.f64 x y))))
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))
(/.f64 (sqrt.f64 x) (/.f64 (/.f64 z y) (sqrt.f64 x)))
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))
(/.f64 -1 (*.f64 (neg.f64 z) (/.f64 (/.f64 1 y) x)))
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))
(/.f64 -1 (*.f64 (/.f64 (/.f64 1 y) x) (neg.f64 z)))
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))
(/.f64 (neg.f64 x) (neg.f64 (/.f64 z y)))
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))
(/.f64 (neg.f64 x) (*.f64 (neg.f64 z) (/.f64 1 y)))
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))
(/.f64 (neg.f64 x) (*.f64 z (/.f64 -1 y)))
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))
(/.f64 (/.f64 x z) (/.f64 1 y))
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))
(/.f64 (neg.f64 (*.f64 x y)) (neg.f64 z))
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))
(/.f64 (neg.f64 (/.f64 x z)) (/.f64 -1 y))
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))
(/.f64 (.f64 -1 (neg.f64 x)) (.f64 (neg.f64 z) (/.f64 -1 y)))
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))
(/.f64 (.f64 (neg.f64 x) 1) (.f64 (/.f64 -1 y) z))
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))
(/.f64 (.f64 x -1) (.f64 (/.f64 1 y) (neg.f64 z)))
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))
(/.f64 (.f64 (neg.f64 x) -1) (.f64 (/.f64 -1 y) (neg.f64 z)))
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))
(/.f64 (/.f64 (*.f64 x y) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))
(/.f64 (/.f64 (/.f64 x z) 1) (/.f64 1 y))
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))
(/.f64 (/.f64 (*.f64 x y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))
(/.f64 (/.f64 (/.f64 x z) (cbrt.f64 (pow.f64 y -2))) (/.f64 1 (cbrt.f64 y)))
(/.f64 (/.f64 x z) (*.f64 (/.f64 1 (cbrt.f64 y)) (cbrt.f64 (pow.f64 y -2))))
(.f64 (/.f64 x (.f64 z (cbrt.f64 (pow.f64 y -2)))) (cbrt.f64 y))
(/.f64 (/.f64 x z) (/.f64 (cbrt.f64 (pow.f64 y -2)) (cbrt.f64 y)))
(/.f64 (/.f64 (/.f64 x z) (pow.f64 y -1/2)) (pow.f64 y -1/2))
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))
(/.f64 (.f64 -1 (.f64 x y)) (neg.f64 z))
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 (neg.f64 x) (/.f64 1 z)) (/.f64 -1 y))
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 (/.f64 1 z) (neg.f64 x)) (/.f64 -1 y))
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))
(/.f64 (.f64 (.f64 x y) -1) (neg.f64 z))
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))
(pow.f64 (*.f64 x (/.f64 y z)) 1)
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))
(pow.f64 (E.f64) (log.f64 (*.f64 x (/.f64 y z))))
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))
(pow.f64 (pow.f64 (*.f64 x (/.f64 y z)) 2) 1/2)
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))
(pow.f64 (pow.f64 (*.f64 x (/.f64 y z)) 3) 1/3)
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 y z))) 3)
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 y z))) 2)
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))
(pow.f64 (/.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 z 3)) 1/3)
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))
(pow.f64 (*.f64 z (/.f64 (/.f64 1 y) x)) -1)
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))
(pow.f64 (*.f64 (/.f64 (/.f64 1 y) x) z) -1)
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))
(pow.f64 (/.f64 (/.f64 z y) x) -1)
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))
(pow.f64 (/.f64 z (*.f64 x y)) -1)
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))
(pow.f64 (/.f64 (/.f64 1 y) (/.f64 x z)) -1)
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (/.f64 y z)))) 2)) (cbrt.f64 (log.f64 (.f64 x (/.f64 y z)))))
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(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 y (/.f64 x z)))) 2)) (cbrt.f64 (log.f64 (.f64 y (/.f64 x z)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (/.f64 y z))))) (sqrt.f64 (log.f64 (.f64 x (/.f64 y z)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (/.f64 x z) y)))) (sqrt.f64 (log.f64 (.f64 (/.f64 x z) y))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 y (/.f64 x z))))) (sqrt.f64 (log.f64 (.f64 y (/.f64 x z)))))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 y z)) 2))
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))
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(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 y z)))))
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 y z)) 3))
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 z 3)))
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 y z))))
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 y z))))
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))
(exp.f64 (log.f64 (*.f64 x (/.f64 y z))))
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))
(exp.f64 (.f64 (log.f64 (.f64 x (/.f64 y z))) 1))
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x (/.f64 y z)))) 1/3))
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (/.f64 y z)))) 3))
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (/.f64 y z)))) 2))
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (/.f64 y z))) 1) 1))
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))
(exp.f64 (-.f64 (.f64 (log.f64 z) -1) (neg.f64 (log.f64 (.f64 x y)))))
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))
(exp.f64 (-.f64 (.f64 (neg.f64 (log.f64 z)) 1) (neg.f64 (log.f64 (.f64 x y)))))
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))
(exp.f64 (-.f64 (*.f64 (log.f64 x) 1) (log.f64 (/.f64 z y))))
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))
(exp.f64 (-.f64 (.f64 (log.f64 (.f64 x y)) 1) (log.f64 z)))
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))
(exp.f64 (-.f64 (log.f64 (.f64 x y)) (.f64 (log.f64 z) 1)))
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))
(exp.f64 (-.f64 (.f64 (log.f64 (.f64 x y)) 1) (*.f64 (log.f64 z) 1)))
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))
(exp.f64 (-.f64 (log.f64 (/.f64 x z)) (*.f64 (log.f64 y) -1)))
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))
(exp.f64 (-.f64 (log.f64 (/.f64 x z)) (*.f64 (neg.f64 (log.f64 y)) 1)))
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))
(exp.f64 (+.f64 (.f64 (log.f64 z) -1) (log.f64 (.f64 x y))))
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))
(exp.f64 (+.f64 (.f64 (neg.f64 (log.f64 z)) 1) (log.f64 (.f64 x y))))
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))
(exp.f64 (+.f64 (neg.f64 (log.f64 z)) (.f64 (log.f64 (.f64 x y)) 1)))
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))
(exp.f64 (+.f64 (.f64 (log.f64 z) -1) (.f64 (log.f64 (*.f64 x y)) 1)))
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))
(exp.f64 (+.f64 (.f64 (neg.f64 (log.f64 z)) 1) (.f64 (log.f64 (*.f64 x y)) 1)))
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 x y)) 1) (neg.f64 (log.f64 z))))
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))
(exp.f64 (+.f64 (log.f64 (.f64 x y)) (.f64 (log.f64 z) -1)))
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 x y)) 1) (*.f64 (log.f64 z) -1)))
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))
(exp.f64 (+.f64 (log.f64 (.f64 x y)) (.f64 (neg.f64 (log.f64 z)) 1)))
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 x y)) 1) (*.f64 (neg.f64 (log.f64 z)) 1)))
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))
(exp.f64 (+.f64 (log.f64 (/.f64 x z)) (*.f64 (log.f64 y) 1)))
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))
(+.f64 0 (*.f64 x y))
(*.f64 y x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) x))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) x))))
(*.f64 y x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x y))) 1)
(*.f64 y x)
(.f64 1 (.f64 x y))
(*.f64 y x)
(*.f64 x y)
(*.f64 y x)
(*.f64 y x)
(.f64 (.f64 x y) 1)
(*.f64 y x)
(.f64 (cbrt.f64 (.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x y)) 2))
(*.f64 y x)
(.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2) (cbrt.f64 (*.f64 x y)))
(*.f64 y x)
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) y))
(*.f64 y x)
(.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (*.f64 x y)))
(*.f64 y x)
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) y))
(*.f64 y x)
(*.f64 (sqrt.f64 y) (/.f64 x (pow.f64 y -1/2)))
(/.f64 (*.f64 x (sqrt.f64 y)) (pow.f64 y -1/2))
(*.f64 (neg.f64 x) (/.f64 1 (/.f64 -1 y)))
(*.f64 y x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 1 y)))
(*.f64 y x)
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 1 y)))
(*.f64 y x)
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 y -2))) (/.f64 x (/.f64 1 (cbrt.f64 y))))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 y -2))) (.f64 (/.f64 x 1) (cbrt.f64 y)))
(/.f64 (*.f64 x (cbrt.f64 y)) (cbrt.f64 (pow.f64 y -2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 y -2))) (cbrt.f64 (.f64 x y)))
(.f64 (cbrt.f64 (.f64 y x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 y -2))))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 (pow.f64 y -2)) (cbrt.f64 (*.f64 y x))))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 y -2))) (/.f64 (sqrt.f64 x) (/.f64 1 (cbrt.f64 y))))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 y -2))) (.f64 (/.f64 x 1) (cbrt.f64 y)))
(/.f64 (*.f64 x (cbrt.f64 y)) (cbrt.f64 (pow.f64 y -2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 y -1/2)) (/.f64 (cbrt.f64 x) (pow.f64 y -1/2)))
(/.f64 (/.f64 x (pow.f64 y -1/2)) (pow.f64 y -1/2))
(*.f64 (/.f64 x -1) (neg.f64 y))
(*.f64 y x)
(.f64 (.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(*.f64 y x)
(.f64 (.f64 x (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 y x)
(pow.f64 (*.f64 x y) 1)
(*.f64 y x)
(pow.f64 (E.f64) (log.f64 (*.f64 x y)))
(*.f64 y x)
(pow.f64 (pow.f64 (*.f64 x y) 2) 1/2)
(*.f64 y x)
(pow.f64 (pow.f64 (*.f64 x y) 3) 1/3)
(*.f64 y x)
(pow.f64 (cbrt.f64 (*.f64 x y)) 3)
(*.f64 y x)
(pow.f64 (sqrt.f64 (*.f64 x y)) 2)
(*.f64 y x)
(pow.f64 (/.f64 (/.f64 1 y) x) -1)
(*.f64 y x)
(pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 y -3)) 1/3)
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 y -3)))
(pow.f64 (/.f64 (/.f64 (/.f64 1 y) x) 1) -1)
(*.f64 y x)
(pow.f64 (*.f64 (pow.f64 x 3) (pow.f64 y 3)) 1/3)
(*.f64 y x)
(pow.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 3)) 1/3)
(*.f64 y x)
(pow.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 x)) 3)
(*.f64 y x)
(pow.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 x)) 2)
(*.f64 y x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x y))) 2)) (cbrt.f64 (log.f64 (.f64 x y))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 y x))) 2)) (cbrt.f64 (log.f64 (.f64 y x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x y)))) (sqrt.f64 (log.f64 (.f64 x y))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 y x)))) (sqrt.f64 (log.f64 (.f64 y x))))
(neg.f64 (/.f64 x (/.f64 -1 y)))
(*.f64 y x)
(sqrt.f64 (pow.f64 (*.f64 x y) 2))
(*.f64 y x)
(log.f64 (pow.f64 (exp.f64 y) x))
(*.f64 y x)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x y))))
(*.f64 y x)
(cbrt.f64 (pow.f64 (*.f64 x y) 3))
(*.f64 y x)
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 y -3)))
(expm1.f64 (log1p.f64 (*.f64 x y)))
(*.f64 y x)
(log1p.f64 (expm1.f64 (*.f64 x y)))
(*.f64 y x)
(exp.f64 (log.f64 (*.f64 x y)))
(*.f64 y x)
(exp.f64 (.f64 (log.f64 (.f64 x y)) 1))
(*.f64 y x)
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x y))) 1/3))
(*.f64 y x)
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x y))) 3))
(*.f64 y x)
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x y))) 2))
(*.f64 y x)
(exp.f64 (.f64 (neg.f64 (log.f64 (.f64 x y))) -1))
(*.f64 y x)
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x y)) 1) 1))
(*.f64 y x)
(exp.f64 (-.f64 (*.f64 (log.f64 x) 1) (neg.f64 (log.f64 y))))
(*.f64 y x)
(exp.f64 (-.f64 (log.f64 x) (*.f64 (log.f64 y) -1)))
(*.f64 y x)
(exp.f64 (-.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 y) -1)))
(*.f64 y x)
(exp.f64 (-.f64 (log.f64 x) (*.f64 (neg.f64 (log.f64 y)) 1)))
(*.f64 y x)
(exp.f64 (-.f64 (.f64 (log.f64 x) 1) (.f64 (neg.f64 (log.f64 y)) 1)))
(*.f64 y x)
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 y)))
(*.f64 y x)
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 y) 1)))
(*.f64 y x)
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 y) 1)))
(*.f64 y x)
(exp.f64 (+.f64 (*.f64 (log.f64 y) 1) (log.f64 x)))
(*.f64 y x)
(exp.f64 (+.f64 (log.f64 y) (*.f64 (log.f64 x) 1)))
(*.f64 y x)
(exp.f64 (+.f64 (.f64 (log.f64 y) 1) (.f64 (log.f64 x) 1)))
(*.f64 y x)

localize15.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(pow.f64 (cbrt.f64 x) 2)
✓	0.6b	(cbrt.f64 x)
✓	2.3b	(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 z y)))
✓	4.0b	(/.f64 (cbrt.f64 x) (/.f64 z y))

Compiler

Compiled 43 to 20 computations (53.5% saved)

series27.0ms (0.7%)

Counts

4 → 60

Calls

24 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 z y)))
2.0ms	x	@	-inf	(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 z y)))
2.0ms	z	@	0	(/.f64 (cbrt.f64 x) (/.f64 z y))
2.0ms	y	@	0	(/.f64 (cbrt.f64 x) (/.f64 z y))
2.0ms	x	@	inf	(/.f64 (cbrt.f64 x) (/.f64 z y))

rewrite67.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

578×	`log-prod_binary64`
348×	`pow-prod-down_binary64`
274×	`pow2_binary64`
230×	`pow-unpow_binary64`
196×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	25
1	260	25
2	3075	25

Stop Event

1×	node limit

Counts

4 → 189

Calls

Call 1

Inputs
(/.f64 (cbrt.f64 x) (/.f64 z y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 z y)))
(cbrt.f64 x)
(pow.f64 (cbrt.f64 x) 2)

Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 x 1/6) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 4)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (pow.f64 (cbrt.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x x) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 x) -2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2/3 (log.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (cbrt.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 1/6 (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 x) 1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 x) 1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (*.f64 2/3 (log.f64 x)) 1) 1/2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 x) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 4) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 x) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 x 1/6) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 5) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 x) (/.f64 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (cbrt.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 4) (pow.f64 (cbrt.f64 (cbrt.f64 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (pow.f64 (cbrt.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 x (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 2/3 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2/3 (log.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 x) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2 (log.f64 x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 1/3 (.f64 2/3 (log.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (neg.f64 (.f64 2/3 (log.f64 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 x) 1) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 x) 1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 x)) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (*.f64 2/3 (log.f64 x)) 1) 1))))))

simplify65.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

530×	`log-prod_binary64`
342×	`cube-prod_binary64`
289×	`associate-/l*_binary64`
265×	`associate-l_binary64`
262×	`log-div_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	418	4294969318
1	977	1947
2	4512	1947

Stop Event

1×	node limit

Counts

249 → 219

Calls

Call 1

Inputs
(.f64 (pow.f64 (.f64 1 x) 1/3) (/.f64 y z))
(.f64 (pow.f64 (.f64 1 x) 1/3) (/.f64 y z))
(.f64 (pow.f64 (.f64 1 x) 1/3) (/.f64 y z))
(.f64 (pow.f64 (.f64 1 x) 1/3) (/.f64 y z))
(.f64 (pow.f64 (.f64 1 x) 1/3) (/.f64 y z))
(.f64 (pow.f64 (.f64 1 x) 1/3) (/.f64 y z))
(.f64 (pow.f64 (.f64 1 x) 1/3) (/.f64 y z))
(.f64 (pow.f64 (.f64 1 x) 1/3) (/.f64 y z))
(.f64 (pow.f64 (.f64 1 x) 1/3) (/.f64 y z))
(.f64 (pow.f64 (.f64 1 x) 1/3) (/.f64 y z))
(.f64 (pow.f64 (.f64 1 x) 1/3) (/.f64 y z))
(.f64 (pow.f64 (.f64 1 x) 1/3) (/.f64 y z))
(.f64 (pow.f64 (.f64 1 x) 1/3) (/.f64 y z))
(.f64 (pow.f64 (.f64 1 x) 1/3) (/.f64 y z))
(.f64 (pow.f64 (.f64 1 x) 1/3) (/.f64 y z))
(.f64 (pow.f64 (.f64 1 x) 1/3) (/.f64 y z))
(.f64 (pow.f64 (.f64 1 x) 1/3) (/.f64 y z))
(.f64 (pow.f64 (.f64 1 x) 1/3) (/.f64 y z))
(.f64 (pow.f64 (.f64 1 x) 1/3) (/.f64 y z))
(.f64 (pow.f64 (.f64 1 x) 1/3) (/.f64 y z))
(.f64 (pow.f64 (.f64 1 x) 1/3) (/.f64 y z))
(.f64 (pow.f64 (.f64 1 x) 1/3) (/.f64 y z))
(.f64 (pow.f64 (.f64 1 x) 1/3) (/.f64 y z))
(.f64 (pow.f64 (.f64 1 x) 1/3) (/.f64 y z))
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(+.f64 0 (*.f64 (cbrt.f64 x) (/.f64 y z)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (/.f64 (cbrt.f64 x) z))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (/.f64 (cbrt.f64 x) z)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (/.f64 (cbrt.f64 x) z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (/.f64 (cbrt.f64 x) z)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cbrt.f64 x) (/.f64 y z)))) 1)
(*.f64 (cbrt.f64 x) (/.f64 y z))
(*.f64 y (/.f64 (cbrt.f64 x) z))
(.f64 (.f64 (cbrt.f64 x) (/.f64 y z)) 1)
(.f64 1 (.f64 (cbrt.f64 x) (/.f64 y z)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (/.f64 (cbrt.f64 (cbrt.f64 x)) (/.f64 z y)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (.f64 (cbrt.f64 (cbrt.f64 x)) (/.f64 y z)))
(.f64 (cbrt.f64 (.f64 (cbrt.f64 x) (/.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (/.f64 y z))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (cbrt.f64 x) (/.f64 y z))) 2) (cbrt.f64 (*.f64 (cbrt.f64 x) (/.f64 y z))))
(.f64 (pow.f64 x 1/6) (.f64 (pow.f64 x 1/6) (/.f64 y z)))
(.f64 (sqrt.f64 (.f64 (cbrt.f64 x) (/.f64 y z))) (sqrt.f64 (*.f64 (cbrt.f64 x) (/.f64 y z))))
(*.f64 (neg.f64 (cbrt.f64 x)) (/.f64 1 (/.f64 (neg.f64 z) y)))
(*.f64 (/.f64 y z) (cbrt.f64 x))
(*.f64 (/.f64 (cbrt.f64 x) z) y)
(*.f64 (/.f64 (pow.f64 x 1/6) 1) (/.f64 (pow.f64 x 1/6) (/.f64 z y)))
(*.f64 (/.f64 (pow.f64 x 1/6) z) (/.f64 (pow.f64 x 1/6) (/.f64 1 y)))
(*.f64 (/.f64 1 z) (/.f64 (cbrt.f64 x) (/.f64 1 y)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 z y)) -2) (cbrt.f64 (.f64 x (/.f64 y z))))
(*.f64 (pow.f64 (/.f64 z y) -1/2) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 z y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) z) (/.f64 (cbrt.f64 (cbrt.f64 x)) (/.f64 1 y)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (pow.f64 (cbrt.f64 (/.f64 z y)) 2)) (cbrt.f64 (.f64 (cbrt.f64 x) (/.f64 y z))))
(*.f64 (/.f64 (pow.f64 x 1/6) (pow.f64 (cbrt.f64 (/.f64 z y)) 2)) (/.f64 (pow.f64 x 1/6) (cbrt.f64 (/.f64 z y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (sqrt.f64 (/.f64 z y))) (/.f64 (cbrt.f64 (cbrt.f64 x)) (sqrt.f64 (/.f64 z y))))
(*.f64 (/.f64 (cbrt.f64 x) (neg.f64 z)) (neg.f64 y))
(.f64 (.f64 (/.f64 (cbrt.f64 x) z) 1) y)
(.f64 (.f64 (/.f64 (cbrt.f64 x) z) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))
(.f64 (.f64 (/.f64 (cbrt.f64 x) z) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (*.f64 (cbrt.f64 x) (/.f64 y z)) 1)
(pow.f64 (pow.f64 (*.f64 (cbrt.f64 x) (/.f64 y z)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (cbrt.f64 x) (/.f64 y z)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (/.f64 y z))) 3)
(pow.f64 (sqrt.f64 (*.f64 (cbrt.f64 x) (/.f64 y z))) 2)
(pow.f64 (/.f64 z (*.f64 (cbrt.f64 x) y)) -1)
(pow.f64 (/.f64 x (pow.f64 (/.f64 z y) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 z (*.f64 (cbrt.f64 x) y)) 1) -1)
(neg.f64 (/.f64 (cbrt.f64 x) (/.f64 (neg.f64 z) y)))
(sqrt.f64 (pow.f64 (*.f64 (cbrt.f64 x) (/.f64 y z)) 2))
(log.f64 (pow.f64 (exp.f64 y) (/.f64 (cbrt.f64 x) z)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cbrt.f64 x) (/.f64 y z)))))
(cbrt.f64 (pow.f64 (*.f64 (cbrt.f64 x) (/.f64 y z)) 3))
(cbrt.f64 (/.f64 x (pow.f64 (/.f64 z y) 3)))
(expm1.f64 (log1p.f64 (*.f64 (cbrt.f64 x) (/.f64 y z))))
(log1p.f64 (expm1.f64 (*.f64 (cbrt.f64 x) (/.f64 y z))))
(exp.f64 (log.f64 (*.f64 (cbrt.f64 x) (/.f64 y z))))
(exp.f64 (.f64 (log.f64 (.f64 (cbrt.f64 x) (/.f64 y z))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 (cbrt.f64 x) (/.f64 y z)))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (cbrt.f64 x) (/.f64 y z)))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (cbrt.f64 x) (/.f64 y z)))) 2))
(exp.f64 (.f64 (log.f64 (/.f64 z (.f64 (cbrt.f64 x) y))) -1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (cbrt.f64 x) (/.f64 y z))) 1) 1))
(+.f64 0 (*.f64 x (/.f64 y z)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 y z))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 y z)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 y z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 y z)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 y z)))) 1)
(/.f64 x (/.f64 z y))
(/.f64 (cbrt.f64 x) (*.f64 (/.f64 z y) (pow.f64 (cbrt.f64 x) -2)))
(/.f64 (cbrt.f64 x) (*.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 z y)))
(/.f64 (*.f64 (cbrt.f64 x) (/.f64 y z)) (pow.f64 (cbrt.f64 x) -2))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 z (*.f64 (cbrt.f64 x) y)))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (/.f64 z (.f64 (cbrt.f64 x) y)) 1))
(/.f64 1 (.f64 (/.f64 z (.f64 (cbrt.f64 x) y)) (pow.f64 (cbrt.f64 x) -2)))
(/.f64 1 (.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 z (.f64 (cbrt.f64 x) y))))
(/.f64 1 (/.f64 (/.f64 z y) x))
(/.f64 1 (/.f64 1 (*.f64 x (/.f64 y z))))
(/.f64 (*.f64 x (/.f64 y z)) 1)
(/.f64 (pow.f64 (cbrt.f64 (.f64 x (/.f64 y z))) 2) (/.f64 1 (cbrt.f64 (.f64 x (/.f64 y z)))))
(/.f64 (sqrt.f64 x) (/.f64 (/.f64 z y) (sqrt.f64 x)))
(/.f64 (sqrt.f64 (.f64 x (/.f64 y z))) (pow.f64 (.f64 x (/.f64 y z)) -1/2))
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (.f64 (/.f64 z (.f64 (cbrt.f64 x) y)) -1))
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (.f64 -1 (/.f64 z (.f64 (cbrt.f64 x) y))))
(/.f64 (neg.f64 (cbrt.f64 x)) (*.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (neg.f64 z) y)))
(/.f64 (neg.f64 x) (/.f64 (neg.f64 z) y))
(/.f64 (neg.f64 (*.f64 x (/.f64 y z))) -1)
(/.f64 (*.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (neg.f64 z) y))
(/.f64 (.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (.f64 (/.f64 (neg.f64 z) y) 1))
(/.f64 (.f64 (neg.f64 (cbrt.f64 x)) 1) (.f64 (/.f64 (neg.f64 z) y) (pow.f64 (cbrt.f64 x) -2)))
(/.f64 (.f64 (cbrt.f64 x) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (.f64 (/.f64 z y) -1))
(/.f64 (.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (.f64 (/.f64 (neg.f64 z) y) -1))
(/.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) (/.f64 (neg.f64 z) y))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x))) (/.f64 (neg.f64 z) y))
(/.f64 (.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (cbrt.f64 x))) (.f64 -1 (/.f64 (neg.f64 z) y)))
(/.f64 (/.f64 x (sqrt.f64 (/.f64 z y))) (sqrt.f64 (/.f64 z y)))
(/.f64 (/.f64 x z) (/.f64 1 y))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 z y)) 2)) (cbrt.f64 (/.f64 z y)))
(/.f64 (.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (.f64 (cbrt.f64 x) (/.f64 y z))) -1)
(/.f64 (.f64 (.f64 (cbrt.f64 x) (/.f64 y z)) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) -1)
(pow.f64 (*.f64 x (/.f64 y z)) 1)
(pow.f64 (pow.f64 (*.f64 x (/.f64 y z)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 x (/.f64 y z)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 y z))) 3)
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 y z))) 2)
(pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 z y) 3)) 1/3)
(pow.f64 (.f64 (/.f64 z (.f64 (cbrt.f64 x) y)) (pow.f64 (cbrt.f64 x) -2)) -1)
(pow.f64 (.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 z (.f64 (cbrt.f64 x) y))) -1)
(pow.f64 (/.f64 (/.f64 z y) x) -1)
(pow.f64 (/.f64 1 (*.f64 x (/.f64 y z))) -1)
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 y z)) 2))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 y z)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 y z)))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 y z)) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 z y) 3)))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 y z))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 y z))))
(exp.f64 (log.f64 (*.f64 x (/.f64 y z))))
(exp.f64 (.f64 (log.f64 (.f64 x (/.f64 y z))) 1))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (/.f64 y z)) 3)) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (/.f64 y z)))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (/.f64 y z)))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (/.f64 y z))) 1) 1))
(+.f64 0 (cbrt.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 x))) 1)
(*.f64 (cbrt.f64 x) 1)
(*.f64 1 (cbrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))
(*.f64 (pow.f64 x 1/6) (pow.f64 x 1/6))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 4)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)))
(/.f64 (cbrt.f64 x) 1)
(/.f64 1 (sqrt.f64 (pow.f64 (cbrt.f64 x) -2)))
(/.f64 (sqrt.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 -1))
(pow.f64 x 1/3)
(pow.f64 (cbrt.f64 x) 1)
(pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/2)
(pow.f64 (pow.f64 x 3) 1/9)
(pow.f64 (*.f64 x x) 1/6)
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) 3/2)
(pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)
(pow.f64 (sqrt.f64 x) 2/3)
(pow.f64 (pow.f64 x 1/6) 2)
(pow.f64 (pow.f64 (cbrt.f64 x) -2) -1/2)
(pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) -2)) -1)
(sqrt.f64 (pow.f64 (cbrt.f64 x) 2))
(fabs.f64 (cbrt.f64 x))
(log.f64 (exp.f64 (cbrt.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 x))))
(expm1.f64 (log1p.f64 (cbrt.f64 x)))
(log1p.f64 (expm1.f64 (cbrt.f64 x)))
(exp.f64 (log.f64 (cbrt.f64 x)))
(exp.f64 (*.f64 (log.f64 x) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) 1))
(exp.f64 (.f64 (.f64 2/3 (log.f64 x)) 1/2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 x))) 3))
(exp.f64 (.f64 (.f64 1/6 (log.f64 x)) 2))
(exp.f64 (.f64 (.f64 (log.f64 x) 1) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 x) 1/3) 1))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 x)) 1) 1))
(exp.f64 (.f64 (.f64 (*.f64 2/3 (log.f64 x)) 1) 1/2))
(+.f64 0 (pow.f64 (cbrt.f64 x) 2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2))) 1)
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) 2) 1)
(*.f64 1 (pow.f64 (cbrt.f64 x) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 4))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 4) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))
(*.f64 (sqrt.f64 x) (pow.f64 x 1/6))
(*.f64 (pow.f64 x 1/6) (sqrt.f64 x))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) -1)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 5) (cbrt.f64 (cbrt.f64 x)))
(/.f64 (cbrt.f64 x) (/.f64 1 (cbrt.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 x) 2) 1)
(/.f64 1 (pow.f64 (cbrt.f64 x) -2))
(/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 4) (pow.f64 (cbrt.f64 (cbrt.f64 x)) -2))
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) -1)
(/.f64 -1 (neg.f64 (pow.f64 (cbrt.f64 x) -2)))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2))) 1)
(neg.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) -1))
(sqrt.f64 (*.f64 x (cbrt.f64 x)))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 x) 2))))
(cbrt.f64 (*.f64 x x))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 x) 2)))
(exp.f64 (*.f64 2/3 (log.f64 x)))
(exp.f64 (.f64 (.f64 2/3 (log.f64 x)) 1))
(exp.f64 (*.f64 (log.f64 x) 2/3))
(exp.f64 (.f64 (.f64 2 (log.f64 x)) 1/3))
(exp.f64 (.f64 (.f64 1/3 (*.f64 2/3 (log.f64 x))) 3))
(exp.f64 (.f64 (neg.f64 (.f64 2/3 (log.f64 x))) -1))
(exp.f64 (.f64 (.f64 (log.f64 x) 1) 2/3))
(exp.f64 (.f64 (.f64 (log.f64 x) 1/3) 2))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 x)) 1) 2))
(exp.f64 (.f64 (.f64 (*.f64 2/3 (log.f64 x)) 1) 1))

Outputs
(.f64 (pow.f64 (.f64 1 x) 1/3) (/.f64 y z))
(*.f64 y (/.f64 (cbrt.f64 x) z))
(.f64 (pow.f64 (.f64 1 x) 1/3) (/.f64 y z))
(*.f64 y (/.f64 (cbrt.f64 x) z))
(.f64 (pow.f64 (.f64 1 x) 1/3) (/.f64 y z))
(*.f64 y (/.f64 (cbrt.f64 x) z))
(.f64 (pow.f64 (.f64 1 x) 1/3) (/.f64 y z))
(*.f64 y (/.f64 (cbrt.f64 x) z))
(.f64 (pow.f64 (.f64 1 x) 1/3) (/.f64 y z))
(*.f64 y (/.f64 (cbrt.f64 x) z))
(.f64 (pow.f64 (.f64 1 x) 1/3) (/.f64 y z))
(*.f64 y (/.f64 (cbrt.f64 x) z))
(.f64 (pow.f64 (.f64 1 x) 1/3) (/.f64 y z))
(*.f64 y (/.f64 (cbrt.f64 x) z))
(.f64 (pow.f64 (.f64 1 x) 1/3) (/.f64 y z))
(*.f64 y (/.f64 (cbrt.f64 x) z))
(.f64 (pow.f64 (.f64 1 x) 1/3) (/.f64 y z))
(*.f64 y (/.f64 (cbrt.f64 x) z))
(.f64 (pow.f64 (.f64 1 x) 1/3) (/.f64 y z))
(*.f64 y (/.f64 (cbrt.f64 x) z))
(.f64 (pow.f64 (.f64 1 x) 1/3) (/.f64 y z))
(*.f64 y (/.f64 (cbrt.f64 x) z))
(.f64 (pow.f64 (.f64 1 x) 1/3) (/.f64 y z))
(*.f64 y (/.f64 (cbrt.f64 x) z))
(.f64 (pow.f64 (.f64 1 x) 1/3) (/.f64 y z))
(*.f64 y (/.f64 (cbrt.f64 x) z))
(.f64 (pow.f64 (.f64 1 x) 1/3) (/.f64 y z))
(*.f64 y (/.f64 (cbrt.f64 x) z))
(.f64 (pow.f64 (.f64 1 x) 1/3) (/.f64 y z))
(*.f64 y (/.f64 (cbrt.f64 x) z))
(.f64 (pow.f64 (.f64 1 x) 1/3) (/.f64 y z))
(*.f64 y (/.f64 (cbrt.f64 x) z))
(.f64 (pow.f64 (.f64 1 x) 1/3) (/.f64 y z))
(*.f64 y (/.f64 (cbrt.f64 x) z))
(.f64 (pow.f64 (.f64 1 x) 1/3) (/.f64 y z))
(*.f64 y (/.f64 (cbrt.f64 x) z))
(.f64 (pow.f64 (.f64 1 x) 1/3) (/.f64 y z))
(*.f64 y (/.f64 (cbrt.f64 x) z))
(.f64 (pow.f64 (.f64 1 x) 1/3) (/.f64 y z))
(*.f64 y (/.f64 (cbrt.f64 x) z))
(.f64 (pow.f64 (.f64 1 x) 1/3) (/.f64 y z))
(*.f64 y (/.f64 (cbrt.f64 x) z))
(.f64 (pow.f64 (.f64 1 x) 1/3) (/.f64 y z))
(*.f64 y (/.f64 (cbrt.f64 x) z))
(.f64 (pow.f64 (.f64 1 x) 1/3) (/.f64 y z))
(*.f64 y (/.f64 (cbrt.f64 x) z))
(.f64 (pow.f64 (.f64 1 x) 1/3) (/.f64 y z))
(*.f64 y (/.f64 (cbrt.f64 x) z))
(/.f64 (*.f64 y x) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 x (/.f64 y z))
(+.f64 0 (*.f64 (cbrt.f64 x) (/.f64 y z)))
(*.f64 y (/.f64 (cbrt.f64 x) z))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (/.f64 (cbrt.f64 x) z))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (/.f64 (cbrt.f64 x) z)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (/.f64 (cbrt.f64 x) z))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (/.f64 (cbrt.f64 x) z)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (/.f64 (cbrt.f64 x) z)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (/.f64 (cbrt.f64 x) z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (/.f64 (cbrt.f64 x) z)))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (/.f64 (cbrt.f64 x) z)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cbrt.f64 x) (/.f64 y z)))) 1)
(*.f64 y (/.f64 (cbrt.f64 x) z))
(*.f64 (cbrt.f64 x) (/.f64 y z))
(*.f64 y (/.f64 (cbrt.f64 x) z))
(*.f64 y (/.f64 (cbrt.f64 x) z))
(.f64 (.f64 (cbrt.f64 x) (/.f64 y z)) 1)
(*.f64 y (/.f64 (cbrt.f64 x) z))
(.f64 1 (.f64 (cbrt.f64 x) (/.f64 y z)))
(*.f64 y (/.f64 (cbrt.f64 x) z))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (/.f64 (cbrt.f64 (cbrt.f64 x)) (/.f64 z y)))
(*.f64 y (/.f64 (cbrt.f64 x) z))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (.f64 (cbrt.f64 (cbrt.f64 x)) (/.f64 y z)))
(*.f64 y (/.f64 (cbrt.f64 x) z))
(.f64 (cbrt.f64 (.f64 (cbrt.f64 x) (/.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (/.f64 y z))) 2))
(*.f64 y (/.f64 (cbrt.f64 x) z))
(.f64 (pow.f64 (cbrt.f64 (.f64 (cbrt.f64 x) (/.f64 y z))) 2) (cbrt.f64 (*.f64 (cbrt.f64 x) (/.f64 y z))))
(*.f64 y (/.f64 (cbrt.f64 x) z))
(.f64 (pow.f64 x 1/6) (.f64 (pow.f64 x 1/6) (/.f64 y z)))
(*.f64 y (/.f64 (cbrt.f64 x) z))
(.f64 (sqrt.f64 (.f64 (cbrt.f64 x) (/.f64 y z))) (sqrt.f64 (*.f64 (cbrt.f64 x) (/.f64 y z))))
(*.f64 y (/.f64 (cbrt.f64 x) z))
(*.f64 (neg.f64 (cbrt.f64 x)) (/.f64 1 (/.f64 (neg.f64 z) y)))
(*.f64 (/.f64 (cbrt.f64 x) (neg.f64 z)) (neg.f64 y))
(*.f64 (cbrt.f64 x) (neg.f64 (/.f64 y (neg.f64 z))))
(*.f64 (/.f64 y z) (cbrt.f64 x))
(*.f64 y (/.f64 (cbrt.f64 x) z))
(*.f64 (/.f64 (cbrt.f64 x) z) y)
(*.f64 y (/.f64 (cbrt.f64 x) z))
(*.f64 (/.f64 (pow.f64 x 1/6) 1) (/.f64 (pow.f64 x 1/6) (/.f64 z y)))
(*.f64 y (/.f64 (cbrt.f64 x) z))
(*.f64 (/.f64 (pow.f64 x 1/6) z) (/.f64 (pow.f64 x 1/6) (/.f64 1 y)))
(*.f64 y (/.f64 (cbrt.f64 x) z))
(*.f64 (/.f64 1 z) (/.f64 (cbrt.f64 x) (/.f64 1 y)))
(*.f64 y (/.f64 (cbrt.f64 x) z))
(.f64 (pow.f64 (cbrt.f64 (/.f64 z y)) -2) (cbrt.f64 (.f64 x (/.f64 y z))))
(*.f64 (pow.f64 (/.f64 z y) -1/2) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 z y))))
(/.f64 (*.f64 (pow.f64 (/.f64 z y) -1/2) (cbrt.f64 x)) (sqrt.f64 (/.f64 z y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) z) (/.f64 (cbrt.f64 (cbrt.f64 x)) (/.f64 1 y)))
(*.f64 y (/.f64 (cbrt.f64 x) z))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (pow.f64 (cbrt.f64 (/.f64 z y)) 2)) (cbrt.f64 (.f64 (cbrt.f64 x) (/.f64 y z))))
(.f64 (cbrt.f64 (.f64 y (/.f64 (cbrt.f64 x) z))) (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (pow.f64 (cbrt.f64 (/.f64 z y)) 2)))
(*.f64 (/.f64 (pow.f64 x 1/6) (pow.f64 (cbrt.f64 (/.f64 z y)) 2)) (/.f64 (pow.f64 x 1/6) (cbrt.f64 (/.f64 z y))))
(/.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (/.f64 z y))) (pow.f64 (cbrt.f64 (/.f64 z y)) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (sqrt.f64 (/.f64 z y))) (/.f64 (cbrt.f64 (cbrt.f64 x)) (sqrt.f64 (/.f64 z y))))
(/.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 z y))) (sqrt.f64 (/.f64 z y)))
(*.f64 (/.f64 (cbrt.f64 x) (neg.f64 z)) (neg.f64 y))
(*.f64 (cbrt.f64 x) (neg.f64 (/.f64 y (neg.f64 z))))
(.f64 (.f64 (/.f64 (cbrt.f64 x) z) 1) y)
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(pow.f64 (cbrt.f64 x) 2)
(exp.f64 (.f64 (.f64 2/3 (log.f64 x)) 1))
(pow.f64 (cbrt.f64 x) 2)
(exp.f64 (*.f64 (log.f64 x) 2/3))
(pow.f64 (cbrt.f64 x) 2)
(exp.f64 (.f64 (.f64 2 (log.f64 x)) 1/3))
(pow.f64 (cbrt.f64 x) 2)
(exp.f64 (.f64 (.f64 1/3 (*.f64 2/3 (log.f64 x))) 3))
(pow.f64 (cbrt.f64 x) 2)
(exp.f64 (.f64 (neg.f64 (.f64 2/3 (log.f64 x))) -1))
(pow.f64 (cbrt.f64 x) 2)
(exp.f64 (.f64 (.f64 (log.f64 x) 1) 2/3))
(pow.f64 (cbrt.f64 x) 2)
(exp.f64 (.f64 (.f64 (log.f64 x) 1/3) 2))
(pow.f64 (cbrt.f64 x) 2)
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 x)) 1) 2))
(pow.f64 (cbrt.f64 x) 2)
(exp.f64 (.f64 (.f64 (*.f64 2/3 (log.f64 x)) 1) 1))
(pow.f64 (cbrt.f64 x) 2)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.7b	(/.f64 1 (/.f64 z (*.f64 y x)))
✓	7.7b	(/.f64 z (*.f64 y x))

Compiler

Compiled 23 to 9 computations (60.9% saved)

series36.0ms (0.9%)

Counts

2 → 36

Calls

18 calls:

Time	Variable		Point	Expression
31.0ms	x	@	0	(/.f64 z (*.f64 y x))
1.0ms	z	@	0	(/.f64 z (*.f64 y x))
1.0ms	z	@	-inf	(/.f64 z (*.f64 y x))
0.0ms	x	@	inf	(/.f64 z (*.f64 y x))
0.0ms	z	@	inf	(/.f64 z (*.f64 y x))

rewrite47.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

871×	`pow1_binary64`
806×	`add-log-exp_binary64`
806×	`log1p-expm1-u_binary64`
806×	`expm1-log1p-u_binary64`
787×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	166	14
2	2220	14

Stop Event

1×	node limit

Counts

2 → 83

Calls

Call 1

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

Outputs

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

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

simplify73.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

696×	`fma-neg_binary64`
557×	`log-div_binary64`
448×	`unswap-sqr_binary64`
334×	`associate-/r/_binary64`
295×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	197	1078
1	516	967
2	1910	862
3	6937	862

Stop Event

1×	node limit

Counts

119 → 91

Calls

Call 1

Inputs
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(-.f64 (+.f64 1 (/.f64 z (*.f64 y x))) 1)
(.f64 z (/.f64 1 (.f64 y x)))
(.f64 (/.f64 z (.f64 y x)) 1)
(.f64 1 (/.f64 z (.f64 y x)))
(.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (/.f64 1 (*.f64 y x))))
(.f64 (cbrt.f64 (/.f64 z (.f64 y x))) (pow.f64 (cbrt.f64 (/.f64 z (*.f64 y x))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 z (.f64 y x))) 2) (cbrt.f64 (/.f64 z (*.f64 y x))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (/.f64 1 (*.f64 y x))))
(.f64 (sqrt.f64 (/.f64 z (.f64 y x))) (sqrt.f64 (/.f64 z (*.f64 y x))))
(.f64 (neg.f64 z) (/.f64 1 (.f64 y (neg.f64 x))))
(.f64 (/.f64 1 (.f64 y x)) z)
(*.f64 (/.f64 z y) (/.f64 1 x))
(*.f64 (/.f64 1 y) (/.f64 z x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) y) (/.f64 (cbrt.f64 z) x))
(*.f64 (/.f64 (sqrt.f64 z) y) (/.f64 (sqrt.f64 z) x))
(*.f64 (/.f64 (sqrt.f64 z) x) (/.f64 (sqrt.f64 z) y))
(*.f64 (/.f64 1 x) (/.f64 z y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) x) (/.f64 (cbrt.f64 z) y))
(.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) 1) (/.f64 (cbrt.f64 z) (.f64 y x)))
(.f64 (/.f64 (sqrt.f64 z) 1) (/.f64 (sqrt.f64 z) (.f64 y x)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 y x)) 2)) (/.f64 z (cbrt.f64 (*.f64 y x))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 (cbrt.f64 (.f64 y x)) 2)) (cbrt.f64 (/.f64 z (*.f64 y x))))
(.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 (.f64 y x)) 2)) (/.f64 (sqrt.f64 z) (cbrt.f64 (*.f64 y x))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 y x))) (/.f64 z (sqrt.f64 (*.f64 y x))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (sqrt.f64 (.f64 y x))) (/.f64 (cbrt.f64 z) (sqrt.f64 (*.f64 y x))))
(pow.f64 (/.f64 z (*.f64 y x)) 1)
(pow.f64 (pow.f64 (/.f64 z (*.f64 y x)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 z (*.f64 y x))) 3)
(pow.f64 (sqrt.f64 (/.f64 z (*.f64 y x))) 2)
(pow.f64 (/.f64 x (/.f64 z y)) -1)
(neg.f64 (/.f64 z (*.f64 y (neg.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 z (*.f64 y x)) 2))
(log.f64 (exp.f64 (/.f64 z (*.f64 y x))))
(cbrt.f64 (pow.f64 (/.f64 z (*.f64 y x)) 3))
(cbrt.f64 (/.f64 (pow.f64 z 3) (pow.f64 (*.f64 y x) 3)))
(expm1.f64 (log1p.f64 (/.f64 z (*.f64 y x))))
(log1p.f64 (expm1.f64 (/.f64 z (*.f64 y x))))
(exp.f64 (log.f64 (/.f64 z (*.f64 y x))))
(-.f64 (+.f64 1 (/.f64 x (/.f64 z y))) 1)
(.f64 (.f64 y x) (/.f64 1 z))
(*.f64 1 (/.f64 x (/.f64 z y)))
(*.f64 (cbrt.f64 (/.f64 x (/.f64 z y))) (pow.f64 (cbrt.f64 (/.f64 x (/.f64 z y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 z y))) 2) (cbrt.f64 (/.f64 x (/.f64 z y))))
(*.f64 (sqrt.f64 (/.f64 x (/.f64 z y))) (sqrt.f64 (/.f64 x (/.f64 z y))))
(.f64 -1 (/.f64 1 (/.f64 (neg.f64 z) (.f64 y x))))
(*.f64 (/.f64 x (/.f64 z y)) 1)
(.f64 (/.f64 1 z) (.f64 y x))
(.f64 (/.f64 1 z) (pow.f64 (/.f64 1 (.f64 y x)) -1))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 z (.f64 y x))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 z (*.f64 y x))) -1))
(.f64 (pow.f64 (sqrt.f64 (/.f64 z (.f64 y x))) -1) (pow.f64 (sqrt.f64 (/.f64 z (*.f64 y x))) -1))
(*.f64 (/.f64 y 1) (/.f64 x z))
(*.f64 (/.f64 x 1) (/.f64 y z))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 y x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 y x)) z))
(.f64 (/.f64 (sqrt.f64 (.f64 y x)) 1) (/.f64 (sqrt.f64 (*.f64 y x)) z))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 z) 2)) (/.f64 x (cbrt.f64 z)))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 z) 2)) (/.f64 y (cbrt.f64 z)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (.f64 y x) (cbrt.f64 z)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 y x)) 2) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (cbrt.f64 (*.f64 y x)) (cbrt.f64 z)))
(.f64 (/.f64 (sqrt.f64 (.f64 y x)) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 (*.f64 y x)) (cbrt.f64 z)))
(*.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)))
(*.f64 (/.f64 x (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)))
(.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 (.f64 y x) (sqrt.f64 z)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 y x)) 2) (sqrt.f64 z)) (/.f64 (cbrt.f64 (*.f64 y x)) (sqrt.f64 z)))
(.f64 (/.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 z)) (/.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 z)))
(.f64 (/.f64 1 (neg.f64 z)) (.f64 y (neg.f64 x)))
(*.f64 (/.f64 1 (/.f64 z y)) x)
(.f64 (.f64 (/.f64 1 z) y) x)
(.f64 (.f64 (/.f64 1 z) x) y)
(.f64 (.f64 (/.f64 1 z) 1) (*.f64 y x))
(.f64 (.f64 (/.f64 1 z) (pow.f64 (cbrt.f64 (.f64 y x)) 2)) (cbrt.f64 (.f64 y x)))
(.f64 (.f64 (/.f64 1 z) (sqrt.f64 (.f64 y x))) (sqrt.f64 (.f64 y x)))
(pow.f64 (/.f64 z (*.f64 y x)) -1)
(pow.f64 (pow.f64 (/.f64 x (/.f64 z y)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 x (/.f64 z y))) 3)
(pow.f64 (sqrt.f64 (/.f64 x (/.f64 z y))) 2)
(pow.f64 (/.f64 x (/.f64 z y)) 1)
(sqrt.f64 (pow.f64 (/.f64 z (*.f64 y x)) -2))
(log.f64 (exp.f64 (/.f64 x (/.f64 z y))))
(cbrt.f64 (pow.f64 (/.f64 x (/.f64 z y)) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 z 3)))
(expm1.f64 (log1p.f64 (/.f64 x (/.f64 z y))))
(log1p.f64 (expm1.f64 (/.f64 x (/.f64 z y))))
(exp.f64 (log.f64 (/.f64 x (/.f64 z y))))

Outputs
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(-.f64 (+.f64 1 (/.f64 z (*.f64 y x))) 1)
(+.f64 (+.f64 1 (/.f64 z (*.f64 y x))) -1)
(+.f64 (/.f64 z (*.f64 y x)) 0)
(/.f64 z (*.f64 y x))
(.f64 z (/.f64 1 (.f64 y x)))
(+.f64 (+.f64 1 (/.f64 z (*.f64 y x))) -1)
(+.f64 (/.f64 z (*.f64 y x)) 0)
(/.f64 z (*.f64 y x))
(.f64 (/.f64 z (.f64 y x)) 1)
(+.f64 (+.f64 1 (/.f64 z (*.f64 y x))) -1)
(+.f64 (/.f64 z (*.f64 y x)) 0)
(/.f64 z (*.f64 y x))
(.f64 1 (/.f64 z (.f64 y x)))
(+.f64 (+.f64 1 (/.f64 z (*.f64 y x))) -1)
(+.f64 (/.f64 z (*.f64 y x)) 0)
(/.f64 z (*.f64 y x))
(.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (/.f64 1 (*.f64 y x))))
(+.f64 (+.f64 1 (/.f64 z (*.f64 y x))) -1)
(+.f64 (/.f64 z (*.f64 y x)) 0)
(/.f64 z (*.f64 y x))
(.f64 (cbrt.f64 (/.f64 z (.f64 y x))) (pow.f64 (cbrt.f64 (/.f64 z (*.f64 y x))) 2))
(+.f64 (+.f64 1 (/.f64 z (*.f64 y x))) -1)
(+.f64 (/.f64 z (*.f64 y x)) 0)
(/.f64 z (*.f64 y x))
(.f64 (pow.f64 (cbrt.f64 (/.f64 z (.f64 y x))) 2) (cbrt.f64 (/.f64 z (*.f64 y x))))
(+.f64 (+.f64 1 (/.f64 z (*.f64 y x))) -1)
(+.f64 (/.f64 z (*.f64 y x)) 0)
(/.f64 z (*.f64 y x))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (/.f64 1 (*.f64 y x))))
(+.f64 (+.f64 1 (/.f64 z (*.f64 y x))) -1)
(+.f64 (/.f64 z (*.f64 y x)) 0)
(/.f64 z (*.f64 y x))
(.f64 (sqrt.f64 (/.f64 z (.f64 y x))) (sqrt.f64 (/.f64 z (*.f64 y x))))
(+.f64 (+.f64 1 (/.f64 z (*.f64 y x))) -1)
(+.f64 (/.f64 z (*.f64 y x)) 0)
(/.f64 z (*.f64 y x))
(.f64 (neg.f64 z) (/.f64 1 (.f64 y (neg.f64 x))))
(/.f64 (neg.f64 z) (*.f64 y (neg.f64 x)))
(.f64 (/.f64 1 (.f64 y x)) z)
(+.f64 (+.f64 1 (/.f64 z (*.f64 y x))) -1)
(+.f64 (/.f64 z (*.f64 y x)) 0)
(/.f64 z (*.f64 y x))
(*.f64 (/.f64 z y) (/.f64 1 x))
(+.f64 (+.f64 1 (/.f64 z (*.f64 y x))) -1)
(+.f64 (/.f64 z (*.f64 y x)) 0)
(/.f64 z (*.f64 y x))
(*.f64 (/.f64 1 y) (/.f64 z x))
(+.f64 (+.f64 1 (/.f64 z (*.f64 y x))) -1)
(+.f64 (/.f64 z (*.f64 y x)) 0)
(/.f64 z (*.f64 y x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) y) (/.f64 (cbrt.f64 z) x))
(+.f64 (+.f64 1 (/.f64 z (*.f64 y x))) -1)
(+.f64 (/.f64 z (*.f64 y x)) 0)
(/.f64 z (*.f64 y x))
(*.f64 (/.f64 (sqrt.f64 z) y) (/.f64 (sqrt.f64 z) x))
(+.f64 (+.f64 1 (/.f64 z (*.f64 y x))) -1)
(+.f64 (/.f64 z (*.f64 y x)) 0)
(/.f64 z (*.f64 y x))
(*.f64 (/.f64 (sqrt.f64 z) x) (/.f64 (sqrt.f64 z) y))
(+.f64 (+.f64 1 (/.f64 z (*.f64 y x))) -1)
(+.f64 (/.f64 z (*.f64 y x)) 0)
(/.f64 z (*.f64 y x))
(*.f64 (/.f64 1 x) (/.f64 z y))
(+.f64 (+.f64 1 (/.f64 z (*.f64 y x))) -1)
(+.f64 (/.f64 z (*.f64 y x)) 0)
(/.f64 z (*.f64 y x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) x) (/.f64 (cbrt.f64 z) y))
(+.f64 (+.f64 1 (/.f64 z (*.f64 y x))) -1)
(+.f64 (/.f64 z (*.f64 y x)) 0)
(/.f64 z (*.f64 y x))
(.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) 1) (/.f64 (cbrt.f64 z) (.f64 y x)))
(+.f64 (+.f64 1 (/.f64 z (*.f64 y x))) -1)
(+.f64 (/.f64 z (*.f64 y x)) 0)
(/.f64 z (*.f64 y x))
(.f64 (/.f64 (sqrt.f64 z) 1) (/.f64 (sqrt.f64 z) (.f64 y x)))
(+.f64 (+.f64 1 (/.f64 z (*.f64 y x))) -1)
(+.f64 (/.f64 z (*.f64 y x)) 0)
(/.f64 z (*.f64 y x))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 y x)) 2)) (/.f64 z (cbrt.f64 (*.f64 y x))))
(+.f64 (+.f64 1 (/.f64 z (*.f64 y x))) -1)
(+.f64 (/.f64 z (*.f64 y x)) 0)
(/.f64 z (*.f64 y x))
(.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 (cbrt.f64 (.f64 y x)) 2)) (cbrt.f64 (/.f64 z (*.f64 y x))))
(.f64 (cbrt.f64 (/.f64 z (.f64 y x))) (/.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 (cbrt.f64 (*.f64 y x)) 2)))
(/.f64 (pow.f64 (cbrt.f64 z) 2) (/.f64 (pow.f64 (cbrt.f64 (.f64 y x)) 2) (cbrt.f64 (/.f64 z (.f64 y x)))))
(.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 (.f64 y x)) 2)) (/.f64 (sqrt.f64 z) (cbrt.f64 (*.f64 y x))))
(+.f64 (+.f64 1 (/.f64 z (*.f64 y x))) -1)
(+.f64 (/.f64 z (*.f64 y x)) 0)
(/.f64 z (*.f64 y x))
(.f64 (/.f64 1 (sqrt.f64 (.f64 y x))) (/.f64 z (sqrt.f64 (*.f64 y x))))
(+.f64 (+.f64 1 (/.f64 z (*.f64 y x))) -1)
(+.f64 (/.f64 z (*.f64 y x)) 0)
(/.f64 z (*.f64 y x))
(.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (sqrt.f64 (.f64 y x))) (/.f64 (cbrt.f64 z) (sqrt.f64 (*.f64 y x))))
(+.f64 (+.f64 1 (/.f64 z (*.f64 y x))) -1)
(+.f64 (/.f64 z (*.f64 y x)) 0)
(/.f64 z (*.f64 y x))
(pow.f64 (/.f64 z (*.f64 y x)) 1)
(+.f64 (+.f64 1 (/.f64 z (*.f64 y x))) -1)
(+.f64 (/.f64 z (*.f64 y x)) 0)
(/.f64 z (*.f64 y x))
(pow.f64 (pow.f64 (/.f64 z (*.f64 y x)) 3) 1/3)
(+.f64 (+.f64 1 (/.f64 z (*.f64 y x))) -1)
(+.f64 (/.f64 z (*.f64 y x)) 0)
(/.f64 z (*.f64 y x))
(pow.f64 (cbrt.f64 (/.f64 z (*.f64 y x))) 3)
(+.f64 (+.f64 1 (/.f64 z (*.f64 y x))) -1)
(+.f64 (/.f64 z (*.f64 y x)) 0)
(/.f64 z (*.f64 y x))
(pow.f64 (sqrt.f64 (/.f64 z (*.f64 y x))) 2)
(+.f64 (+.f64 1 (/.f64 z (*.f64 y x))) -1)
(+.f64 (/.f64 z (*.f64 y x)) 0)
(/.f64 z (*.f64 y x))
(pow.f64 (/.f64 x (/.f64 z y)) -1)
(+.f64 (+.f64 1 (/.f64 z (*.f64 y x))) -1)
(+.f64 (/.f64 z (*.f64 y x)) 0)
(/.f64 z (*.f64 y x))
(neg.f64 (/.f64 z (*.f64 y (neg.f64 x))))
(.f64 (neg.f64 z) (/.f64 1 (.f64 y (neg.f64 x))))
(/.f64 (neg.f64 z) (*.f64 y (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 z (*.f64 y x)) 2))
(+.f64 (+.f64 1 (/.f64 z (*.f64 y x))) -1)
(+.f64 (/.f64 z (*.f64 y x)) 0)
(/.f64 z (*.f64 y x))
(log.f64 (exp.f64 (/.f64 z (*.f64 y x))))
(+.f64 (+.f64 1 (/.f64 z (*.f64 y x))) -1)
(+.f64 (/.f64 z (*.f64 y x)) 0)
(/.f64 z (*.f64 y x))
(cbrt.f64 (pow.f64 (/.f64 z (*.f64 y x)) 3))
(+.f64 (+.f64 1 (/.f64 z (*.f64 y x))) -1)
(+.f64 (/.f64 z (*.f64 y x)) 0)
(/.f64 z (*.f64 y x))
(cbrt.f64 (/.f64 (pow.f64 z 3) (pow.f64 (*.f64 y x) 3)))
(+.f64 (+.f64 1 (/.f64 z (*.f64 y x))) -1)
(+.f64 (/.f64 z (*.f64 y x)) 0)
(/.f64 z (*.f64 y x))
(expm1.f64 (log1p.f64 (/.f64 z (*.f64 y x))))
(+.f64 (+.f64 1 (/.f64 z (*.f64 y x))) -1)
(+.f64 (/.f64 z (*.f64 y x)) 0)
(/.f64 z (*.f64 y x))
(log1p.f64 (expm1.f64 (/.f64 z (*.f64 y x))))
(+.f64 (+.f64 1 (/.f64 z (*.f64 y x))) -1)
(+.f64 (/.f64 z (*.f64 y x)) 0)
(/.f64 z (*.f64 y x))
(exp.f64 (log.f64 (/.f64 z (*.f64 y x))))
(+.f64 (+.f64 1 (/.f64 z (*.f64 y x))) -1)
(+.f64 (/.f64 z (*.f64 y x)) 0)
(/.f64 z (*.f64 y x))
(-.f64 (+.f64 1 (/.f64 x (/.f64 z y))) 1)
(*.f64 y (/.f64 x z))
(.f64 (.f64 y x) (/.f64 1 z))
(*.f64 y (/.f64 x z))
(*.f64 1 (/.f64 x (/.f64 z y)))
(*.f64 y (/.f64 x z))
(*.f64 (cbrt.f64 (/.f64 x (/.f64 z y))) (pow.f64 (cbrt.f64 (/.f64 x (/.f64 z y))) 2))
(*.f64 y (/.f64 x z))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 z y))) 2) (cbrt.f64 (/.f64 x (/.f64 z y))))
(*.f64 y (/.f64 x z))
(*.f64 (sqrt.f64 (/.f64 x (/.f64 z y))) (sqrt.f64 (/.f64 x (/.f64 z y))))
(*.f64 y (/.f64 x z))
(.f64 -1 (/.f64 1 (/.f64 (neg.f64 z) (.f64 y x))))
(*.f64 y (/.f64 x z))
(*.f64 (/.f64 x (/.f64 z y)) 1)
(*.f64 y (/.f64 x z))
(.f64 (/.f64 1 z) (.f64 y x))
(*.f64 y (/.f64 x z))
(.f64 (/.f64 1 z) (pow.f64 (/.f64 1 (.f64 y x)) -1))
(*.f64 y (/.f64 x z))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 z (.f64 y x))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 z (*.f64 y x))) -1))
(*.f64 y (/.f64 x z))
(.f64 (pow.f64 (sqrt.f64 (/.f64 z (.f64 y x))) -1) (pow.f64 (sqrt.f64 (/.f64 z (*.f64 y x))) -1))
(*.f64 y (/.f64 x z))
(*.f64 (/.f64 y 1) (/.f64 x z))
(*.f64 y (/.f64 x z))
(*.f64 (/.f64 x 1) (/.f64 y z))
(*.f64 y (/.f64 x z))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 y x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 y x)) z))
(*.f64 y (/.f64 x z))
(.f64 (/.f64 (sqrt.f64 (.f64 y x)) 1) (/.f64 (sqrt.f64 (*.f64 y x)) z))
(*.f64 y (/.f64 x z))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 z) 2)) (/.f64 x (cbrt.f64 z)))
(*.f64 y (/.f64 x z))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 z) 2)) (/.f64 y (cbrt.f64 z)))
(*.f64 y (/.f64 x z))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (.f64 y x) (cbrt.f64 z)))
(*.f64 y (/.f64 x z))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 y x)) 2) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (cbrt.f64 (*.f64 y x)) (cbrt.f64 z)))
(*.f64 y (/.f64 x z))
(.f64 (/.f64 (sqrt.f64 (.f64 y x)) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 (*.f64 y x)) (cbrt.f64 z)))
(*.f64 y (/.f64 x z))
(*.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)))
(*.f64 y (/.f64 x z))
(*.f64 (/.f64 x (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)))
(*.f64 y (/.f64 x z))
(.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 (.f64 y x) (sqrt.f64 z)))
(*.f64 y (/.f64 x z))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 y x)) 2) (sqrt.f64 z)) (/.f64 (cbrt.f64 (*.f64 y x)) (sqrt.f64 z)))
(*.f64 y (/.f64 x z))
(.f64 (/.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 z)) (/.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 z)))
(*.f64 y (/.f64 x z))
(.f64 (/.f64 1 (neg.f64 z)) (.f64 y (neg.f64 x)))
(*.f64 y (/.f64 x z))
(*.f64 (/.f64 1 (/.f64 z y)) x)
(*.f64 y (/.f64 x z))
(.f64 (.f64 (/.f64 1 z) y) x)
(*.f64 y (/.f64 x z))
(.f64 (.f64 (/.f64 1 z) x) y)
(*.f64 y (/.f64 x z))
(.f64 (.f64 (/.f64 1 z) 1) (*.f64 y x))
(*.f64 y (/.f64 x z))
(.f64 (.f64 (/.f64 1 z) (pow.f64 (cbrt.f64 (.f64 y x)) 2)) (cbrt.f64 (.f64 y x)))
(*.f64 y (/.f64 x z))
(.f64 (.f64 (/.f64 1 z) (sqrt.f64 (.f64 y x))) (sqrt.f64 (.f64 y x)))
(*.f64 y (/.f64 x z))
(pow.f64 (/.f64 z (*.f64 y x)) -1)
(*.f64 y (/.f64 x z))
(pow.f64 (pow.f64 (/.f64 x (/.f64 z y)) 3) 1/3)
(*.f64 y (/.f64 x z))
(pow.f64 (cbrt.f64 (/.f64 x (/.f64 z y))) 3)
(*.f64 y (/.f64 x z))
(pow.f64 (sqrt.f64 (/.f64 x (/.f64 z y))) 2)
(*.f64 y (/.f64 x z))
(pow.f64 (/.f64 x (/.f64 z y)) 1)
(*.f64 y (/.f64 x z))
(sqrt.f64 (pow.f64 (/.f64 z (*.f64 y x)) -2))
(*.f64 y (/.f64 x z))
(log.f64 (exp.f64 (/.f64 x (/.f64 z y))))
(*.f64 y (/.f64 x z))
(cbrt.f64 (pow.f64 (/.f64 x (/.f64 z y)) 3))
(*.f64 y (/.f64 x z))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 z 3)))
(*.f64 y (/.f64 x z))
(expm1.f64 (log1p.f64 (/.f64 x (/.f64 z y))))
(*.f64 y (/.f64 x z))
(log1p.f64 (expm1.f64 (/.f64 x (/.f64 z y))))
(*.f64 y (/.f64 x z))
(exp.f64 (log.f64 (/.f64 x (/.f64 z y))))
(*.f64 y (/.f64 x z))

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	7.9b	(/.f64 (*.f64 y x) z)

Compiler

Compiled 15 to 6 computations (60% saved)

series18.0ms (0.4%)

Counts

1 → 0

Calls

9 calls:

Time	Variable		Point	Expression
16.0ms	y	@	inf	(/.f64 (*.f64 y x) z)
0.0ms	y	@	-inf	(/.f64 (*.f64 y x) z)
0.0ms	y	@	0	(/.f64 (*.f64 y x) z)
0.0ms	z	@	-inf	(/.f64 (*.f64 y x) z)
0.0ms	x	@	0	(/.f64 (*.f64 y x) z)

rewrite43.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

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

Outputs

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

simplify38.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

664×	`log-div_binary64`
566×	`log-prod_binary64`
508×	`associate-/l*_binary64`
356×	`associate-*l/_binary64`
337×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	106	568
1	282	472
2	979	376
3	5012	356

Stop Event

1×	node limit

Counts

41 → 48

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (*.f64 (/.f64 y z) x)) 1)
(*.f64 y (/.f64 1 (/.f64 z x)))
(.f64 y (.f64 x (/.f64 1 z)))
(.f64 x (.f64 y (/.f64 1 z)))
(.f64 (.f64 y x) (/.f64 1 z))
(.f64 (.f64 (/.f64 y z) x) 1)
(.f64 1 (.f64 (/.f64 y z) x))
(.f64 (cbrt.f64 (.f64 (/.f64 y z) x)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 y z) x)) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 y z) x)) 2) (cbrt.f64 (*.f64 (/.f64 y z) x)))
(.f64 (pow.f64 (cbrt.f64 (.f64 y x)) 2) (.f64 (cbrt.f64 (.f64 y x)) (/.f64 1 z)))
(.f64 (sqrt.f64 (.f64 (/.f64 y z) x)) (sqrt.f64 (*.f64 (/.f64 y z) x)))
(.f64 (sqrt.f64 (.f64 y x)) (.f64 (sqrt.f64 (.f64 y x)) (/.f64 1 z)))
(.f64 (.f64 x (neg.f64 y)) (/.f64 1 (neg.f64 z)))
(.f64 (/.f64 1 z) (.f64 y x))
(*.f64 (/.f64 y 1) (/.f64 x z))
(*.f64 (/.f64 x 1) (/.f64 y z))
(*.f64 (/.f64 y z) x)
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 y x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 y x)) z))
(.f64 (/.f64 (sqrt.f64 (.f64 y x)) 1) (/.f64 (sqrt.f64 (*.f64 y x)) z))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 z) 2)) (/.f64 x (cbrt.f64 z)))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 z) 2)) (/.f64 y (cbrt.f64 z)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (.f64 y x) (cbrt.f64 z)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 y x)) 2) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (*.f64 (/.f64 y z) x)))
(.f64 (/.f64 (sqrt.f64 (.f64 y x)) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 (*.f64 y x)) (cbrt.f64 z)))
(*.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)))
(*.f64 (/.f64 x (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)))
(.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 (.f64 y x) (sqrt.f64 z)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 y x)) 2) (sqrt.f64 z)) (/.f64 (cbrt.f64 (*.f64 y x)) (sqrt.f64 z)))
(pow.f64 (*.f64 (/.f64 y z) x) 1)
(pow.f64 (pow.f64 (*.f64 (/.f64 y z) x) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 y z) x)) 3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 y z) x)) 2)
(pow.f64 (/.f64 z (*.f64 y x)) -1)
(neg.f64 (/.f64 (*.f64 y x) (neg.f64 z)))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 y z) x) 2))
(log.f64 (exp.f64 (*.f64 (/.f64 y z) x)))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 y z) x) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 z 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 y z) x)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 y z) x)))
(exp.f64 (log.f64 (*.f64 (/.f64 y z) x)))

Outputs
(-.f64 (+.f64 1 (*.f64 (/.f64 y z) x)) 1)
(+.f64 1 (-.f64 (*.f64 y (/.f64 x z)) 1))
(+.f64 (*.f64 y (/.f64 x z)) 0)
(*.f64 y (/.f64 x z))
(*.f64 y (/.f64 1 (/.f64 z x)))
(+.f64 1 (-.f64 (*.f64 y (/.f64 x z)) 1))
(+.f64 (*.f64 y (/.f64 x z)) 0)
(*.f64 y (/.f64 x z))
(.f64 y (.f64 x (/.f64 1 z)))
(+.f64 1 (-.f64 (*.f64 y (/.f64 x z)) 1))
(+.f64 (*.f64 y (/.f64 x z)) 0)
(*.f64 y (/.f64 x z))
(.f64 x (.f64 y (/.f64 1 z)))
(+.f64 1 (-.f64 (*.f64 y (/.f64 x z)) 1))
(+.f64 (*.f64 y (/.f64 x z)) 0)
(*.f64 y (/.f64 x z))
(.f64 (.f64 y x) (/.f64 1 z))
(+.f64 1 (-.f64 (*.f64 y (/.f64 x z)) 1))
(+.f64 (*.f64 y (/.f64 x z)) 0)
(*.f64 y (/.f64 x z))
(.f64 (.f64 (/.f64 y z) x) 1)
(+.f64 1 (-.f64 (*.f64 y (/.f64 x z)) 1))
(+.f64 (*.f64 y (/.f64 x z)) 0)
(*.f64 y (/.f64 x z))
(.f64 1 (.f64 (/.f64 y z) x))
(+.f64 1 (-.f64 (*.f64 y (/.f64 x z)) 1))
(+.f64 (*.f64 y (/.f64 x z)) 0)
(*.f64 y (/.f64 x z))
(.f64 (cbrt.f64 (.f64 (/.f64 y z) x)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 y z) x)) 2))
(+.f64 1 (-.f64 (*.f64 y (/.f64 x z)) 1))
(+.f64 (*.f64 y (/.f64 x z)) 0)
(*.f64 y (/.f64 x z))
(.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 y z) x)) 2) (cbrt.f64 (*.f64 (/.f64 y z) x)))
(+.f64 1 (-.f64 (*.f64 y (/.f64 x z)) 1))
(+.f64 (*.f64 y (/.f64 x z)) 0)
(*.f64 y (/.f64 x z))
(.f64 (pow.f64 (cbrt.f64 (.f64 y x)) 2) (.f64 (cbrt.f64 (.f64 y x)) (/.f64 1 z)))
(+.f64 1 (-.f64 (*.f64 y (/.f64 x z)) 1))
(+.f64 (*.f64 y (/.f64 x z)) 0)
(*.f64 y (/.f64 x z))
(.f64 (sqrt.f64 (.f64 (/.f64 y z) x)) (sqrt.f64 (*.f64 (/.f64 y z) x)))
(+.f64 1 (-.f64 (*.f64 y (/.f64 x z)) 1))
(+.f64 (*.f64 y (/.f64 x z)) 0)
(*.f64 y (/.f64 x z))
(.f64 (sqrt.f64 (.f64 y x)) (.f64 (sqrt.f64 (.f64 y x)) (/.f64 1 z)))
(+.f64 1 (-.f64 (*.f64 y (/.f64 x z)) 1))
(+.f64 (*.f64 y (/.f64 x z)) 0)
(*.f64 y (/.f64 x z))
(.f64 (.f64 x (neg.f64 y)) (/.f64 1 (neg.f64 z)))
(+.f64 1 (-.f64 (*.f64 y (/.f64 x z)) 1))
(+.f64 (*.f64 y (/.f64 x z)) 0)
(*.f64 y (/.f64 x z))
(.f64 (/.f64 1 z) (.f64 y x))
(+.f64 1 (-.f64 (*.f64 y (/.f64 x z)) 1))
(+.f64 (*.f64 y (/.f64 x z)) 0)
(*.f64 y (/.f64 x z))
(*.f64 (/.f64 y 1) (/.f64 x z))
(+.f64 1 (-.f64 (*.f64 y (/.f64 x z)) 1))
(+.f64 (*.f64 y (/.f64 x z)) 0)
(*.f64 y (/.f64 x z))
(*.f64 (/.f64 x 1) (/.f64 y z))
(+.f64 1 (-.f64 (*.f64 y (/.f64 x z)) 1))
(+.f64 (*.f64 y (/.f64 x z)) 0)
(*.f64 y (/.f64 x z))
(*.f64 (/.f64 y z) x)
(+.f64 1 (-.f64 (*.f64 y (/.f64 x z)) 1))
(+.f64 (*.f64 y (/.f64 x z)) 0)
(*.f64 y (/.f64 x z))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 y x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 y x)) z))
(+.f64 1 (-.f64 (*.f64 y (/.f64 x z)) 1))
(+.f64 (*.f64 y (/.f64 x z)) 0)
(*.f64 y (/.f64 x z))
(.f64 (/.f64 (sqrt.f64 (.f64 y x)) 1) (/.f64 (sqrt.f64 (*.f64 y x)) z))
(+.f64 1 (-.f64 (*.f64 y (/.f64 x z)) 1))
(+.f64 (*.f64 y (/.f64 x z)) 0)
(*.f64 y (/.f64 x z))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 z) 2)) (/.f64 x (cbrt.f64 z)))
(/.f64 (*.f64 y x) (pow.f64 (cbrt.f64 z) 3))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 z) 2)) (/.f64 y (cbrt.f64 z)))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 z) 2)) (/.f64 x (cbrt.f64 z)))
(/.f64 (*.f64 y x) (pow.f64 (cbrt.f64 z) 3))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (.f64 y x) (cbrt.f64 z)))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 z) 2)) (/.f64 x (cbrt.f64 z)))
(/.f64 (*.f64 y x) (pow.f64 (cbrt.f64 z) 3))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 y x)) 2) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (*.f64 (/.f64 y z) x)))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 y x)) 2) (cbrt.f64 (*.f64 y (/.f64 x z)))) (pow.f64 (cbrt.f64 z) 2))
(.f64 (cbrt.f64 (.f64 y (/.f64 x z))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (pow.f64 (cbrt.f64 z) 2)))
(/.f64 (pow.f64 (cbrt.f64 (.f64 y x)) 2) (/.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 (.f64 y (/.f64 x z)))))
(.f64 (/.f64 (sqrt.f64 (.f64 y x)) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 (*.f64 y x)) (cbrt.f64 z)))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 z) 2)) (/.f64 x (cbrt.f64 z)))
(/.f64 (*.f64 y x) (pow.f64 (cbrt.f64 z) 3))
(*.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)))
(*.f64 (/.f64 x (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)))
(*.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)))
(.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 (.f64 y x) (sqrt.f64 z)))
(*.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 y x)) 2) (sqrt.f64 z)) (/.f64 (cbrt.f64 (*.f64 y x)) (sqrt.f64 z)))
(*.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)))
(pow.f64 (*.f64 (/.f64 y z) x) 1)
(+.f64 1 (-.f64 (*.f64 y (/.f64 x z)) 1))
(+.f64 (*.f64 y (/.f64 x z)) 0)
(*.f64 y (/.f64 x z))
(pow.f64 (pow.f64 (*.f64 (/.f64 y z) x) 3) 1/3)
(+.f64 1 (-.f64 (*.f64 y (/.f64 x z)) 1))
(+.f64 (*.f64 y (/.f64 x z)) 0)
(*.f64 y (/.f64 x z))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 y z) x)) 3)
(+.f64 1 (-.f64 (*.f64 y (/.f64 x z)) 1))
(+.f64 (*.f64 y (/.f64 x z)) 0)
(*.f64 y (/.f64 x z))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 y z) x)) 2)
(+.f64 1 (-.f64 (*.f64 y (/.f64 x z)) 1))
(+.f64 (*.f64 y (/.f64 x z)) 0)
(*.f64 y (/.f64 x z))
(pow.f64 (/.f64 z (*.f64 y x)) -1)
(+.f64 1 (-.f64 (*.f64 y (/.f64 x z)) 1))
(+.f64 (*.f64 y (/.f64 x z)) 0)
(*.f64 y (/.f64 x z))
(neg.f64 (/.f64 (*.f64 y x) (neg.f64 z)))
(+.f64 1 (-.f64 (*.f64 y (/.f64 x z)) 1))
(+.f64 (*.f64 y (/.f64 x z)) 0)
(*.f64 y (/.f64 x z))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 y z) x) 2))
(+.f64 1 (-.f64 (*.f64 y (/.f64 x z)) 1))
(+.f64 (*.f64 y (/.f64 x z)) 0)
(*.f64 y (/.f64 x z))
(log.f64 (exp.f64 (*.f64 (/.f64 y z) x)))
(+.f64 1 (-.f64 (*.f64 y (/.f64 x z)) 1))
(+.f64 (*.f64 y (/.f64 x z)) 0)
(*.f64 y (/.f64 x z))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 y z) x) 3))
(+.f64 1 (-.f64 (*.f64 y (/.f64 x z)) 1))
(+.f64 (*.f64 y (/.f64 x z)) 0)
(*.f64 y (/.f64 x z))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 z 3)))
(+.f64 1 (-.f64 (*.f64 y (/.f64 x z)) 1))
(+.f64 (*.f64 y (/.f64 x z)) 0)
(*.f64 y (/.f64 x z))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 y z) x)))
(+.f64 1 (-.f64 (*.f64 y (/.f64 x z)) 1))
(+.f64 (*.f64 y (/.f64 x z)) 0)
(*.f64 y (/.f64 x z))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 y z) x)))
(+.f64 1 (-.f64 (*.f64 y (/.f64 x z)) 1))
(+.f64 (*.f64 y (/.f64 x z)) 0)
(*.f64 y (/.f64 x z))
(exp.f64 (log.f64 (*.f64 (/.f64 y z) x)))
(+.f64 1 (-.f64 (*.f64 y (/.f64 x z)) 1))
(+.f64 (*.f64 y (/.f64 x z)) 0)
(*.f64 y (/.f64 x z))

eval190.0ms (4.5%)

Compiler: Compiled 7608 to 3433 computations (54.9% saved)

prune139.0ms (3.3%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	572	2	574
Fresh	0	0	0
Picked	0	1	1
Done	2	4	6
Total	574	7	581

Error

Counts

581 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	7.0b	(/.f64 (/.f64 x z) (/.f64 1 y))
✓	8.1b	(/.f64 (*.f64 y x) z)
✓	6.5b	(/.f64 x (/.f64 z y))
✓	8.5b	(/.f64 1 (/.f64 z (*.f64 y x)))
▶	6.2b	(.f64 (.f64 (/.f64 1 z) y) x)
✓	7.0b	(*.f64 y (/.f64 x z))
✓	6.1b	(*.f64 x (/.f64 y z))

Compiler

Compiled 69 to 48 computations (30.4% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (/.f64 1 z) y)
✓	5.9b	(.f64 (.f64 (/.f64 1 z) y) x)

Compiler

Compiled 23 to 14 computations (39.1% saved)

series8.0ms (0.2%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
4.0ms	y	@	-inf	(*.f64 (/.f64 1 z) y)
0.0ms	z	@	-inf	(*.f64 (/.f64 1 z) y)
0.0ms	z	@	0	(.f64 (.f64 (/.f64 1 z) y) x)
0.0ms	z	@	inf	(.f64 (.f64 (/.f64 1 z) y) x)
0.0ms	y	@	inf	(.f64 (.f64 (/.f64 1 z) y) x)

rewrite45.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

749×	`pow1_binary64`
688×	`add-log-exp_binary64`
688×	`log1p-expm1-u_binary64`
688×	`expm1-log1p-u_binary64`
672×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	159	11
2	1920	11

Stop Event

1×	node limit

Counts

2 → 39

Calls

Call 1

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

Outputs

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

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

simplify41.0ms (1%)

Algorithm

1×	egg-herbie

Rules

545×	`associate-l_binary64`
491×	`associate-r_binary64`
425×	`log-div_binary64`
385×	`fma-def_binary64`
301×	`times-frac_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	95	549
1	213	549
2	777	549
3	5579	549

Stop Event

1×	node limit

Counts

99 → 41

Calls

Call 1

Inputs
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
(-.f64 (+.f64 1 (/.f64 (*.f64 y x) z)) 1)
(/.f64 (*.f64 y x) z)
(/.f64 (.f64 -1 (.f64 y x)) (neg.f64 z))
(pow.f64 (/.f64 (*.f64 y x) z) 1)
(pow.f64 (pow.f64 (/.f64 (*.f64 y x) z) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 y x) z)) 3)
(pow.f64 (sqrt.f64 (/.f64 (*.f64 y x) z)) 2)
(sqrt.f64 (pow.f64 (/.f64 (*.f64 y x) z) 2))
(log.f64 (exp.f64 (/.f64 (*.f64 y x) z)))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 y x) z) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 y z) 3) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 y z) 3)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 y x) z)))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 y x) z)))
(exp.f64 (log.f64 (/.f64 (*.f64 y x) z)))
(-.f64 (+.f64 1 (/.f64 y z)) 1)
(/.f64 1 (/.f64 z y))
(/.f64 y z)
(/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 z (cbrt.f64 y)))
(/.f64 (sqrt.f64 y) (/.f64 z (sqrt.f64 y)))
(/.f64 (neg.f64 y) (neg.f64 z))
(/.f64 (/.f64 y (sqrt.f64 z)) (sqrt.f64 z))
(/.f64 (/.f64 y 1) z)
(/.f64 (/.f64 y (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(/.f64 (*.f64 -1 y) (neg.f64 z))
(/.f64 (*.f64 y -1) (neg.f64 z))
(pow.f64 (/.f64 y z) 1)
(pow.f64 (pow.f64 (/.f64 y z) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 y z)) 3)
(pow.f64 (sqrt.f64 (/.f64 y z)) 2)
(sqrt.f64 (pow.f64 (/.f64 y z) 2))
(log.f64 (exp.f64 (/.f64 y z)))
(cbrt.f64 (pow.f64 (/.f64 y z) 3))
(cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 z 3)))
(cbrt.f64 (*.f64 (/.f64 (pow.f64 z -2) z) (pow.f64 y 3)))
(cbrt.f64 (*.f64 (pow.f64 y 3) (/.f64 (pow.f64 z -2) z)))
(expm1.f64 (log1p.f64 (/.f64 y z)))
(log1p.f64 (expm1.f64 (/.f64 y z)))
(exp.f64 (log.f64 (/.f64 y z)))

Outputs
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 y z) x)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 y z) x)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 y z) x)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 y z) x)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 y z) x)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 y z) x)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 y z) x)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 y z) x)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 y z) x)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 y z) x)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 y z) x)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 y z) x)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 y z) x)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 y z) x)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 y z) x)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 y z) x)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 y z) x)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 y z) x)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 y z) x)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 y z) x)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 y z) x)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 y z) x)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 y z) x)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 y z) x)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 y z) x)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 y z) x)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 y z) x)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 y z) x)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 y z) x)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 y z) x)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 y z) x)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 y z) x)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 y z) x)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 y z) x)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 y z) x)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 y z) x)
(*.f64 y (/.f64 x z))
(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
(/.f64 y z)
(-.f64 (+.f64 1 (/.f64 (*.f64 y x) z)) 1)
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 y z) x)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 y z) x)
(*.f64 y (/.f64 x z))
(/.f64 (.f64 -1 (.f64 y x)) (neg.f64 z))
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 y z) x)
(*.f64 y (/.f64 x z))
(pow.f64 (/.f64 (*.f64 y x) z) 1)
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 y z) x)
(*.f64 y (/.f64 x z))
(pow.f64 (pow.f64 (/.f64 (*.f64 y x) z) 3) 1/3)
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 y z) x)
(*.f64 y (/.f64 x z))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 y x) z)) 3)
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 y z) x)
(*.f64 y (/.f64 x z))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 y x) z)) 2)
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 y z) x)
(*.f64 y (/.f64 x z))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 y x) z) 2))
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 y z) x)
(*.f64 y (/.f64 x z))
(log.f64 (exp.f64 (/.f64 (*.f64 y x) z)))
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 y z) x)
(*.f64 y (/.f64 x z))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 y x) z) 3))
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 y z) x)
(*.f64 y (/.f64 x z))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 y z) 3) (pow.f64 x 3)))
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 y z) x)
(*.f64 y (/.f64 x z))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 y z) 3)))
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 y z) x)
(*.f64 y (/.f64 x z))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 y x) z)))
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 y z) x)
(*.f64 y (/.f64 x z))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 y x) z)))
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 y z) x)
(*.f64 y (/.f64 x z))
(exp.f64 (log.f64 (/.f64 (*.f64 y x) z)))
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 y z) x)
(*.f64 y (/.f64 x z))
(-.f64 (+.f64 1 (/.f64 y z)) 1)
(/.f64 y z)
(/.f64 1 (/.f64 z y))
(/.f64 y z)
(/.f64 y z)
(/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 z (cbrt.f64 y)))
(/.f64 y z)
(/.f64 (sqrt.f64 y) (/.f64 z (sqrt.f64 y)))
(/.f64 y z)
(/.f64 (neg.f64 y) (neg.f64 z))
(/.f64 y z)
(/.f64 (/.f64 y (sqrt.f64 z)) (sqrt.f64 z))
(/.f64 y z)
(/.f64 (/.f64 y 1) z)
(/.f64 y z)
(/.f64 (/.f64 y (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(/.f64 y z)
(/.f64 (*.f64 -1 y) (neg.f64 z))
(/.f64 y z)
(/.f64 (*.f64 y -1) (neg.f64 z))
(/.f64 y z)
(pow.f64 (/.f64 y z) 1)
(/.f64 y z)
(pow.f64 (pow.f64 (/.f64 y z) 3) 1/3)
(/.f64 y z)
(pow.f64 (cbrt.f64 (/.f64 y z)) 3)
(/.f64 y z)
(pow.f64 (sqrt.f64 (/.f64 y z)) 2)
(/.f64 y z)
(sqrt.f64 (pow.f64 (/.f64 y z) 2))
(/.f64 y z)
(log.f64 (exp.f64 (/.f64 y z)))
(/.f64 y z)
(cbrt.f64 (pow.f64 (/.f64 y z) 3))
(/.f64 y z)
(cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 z 3)))
(/.f64 y z)
(cbrt.f64 (*.f64 (/.f64 (pow.f64 z -2) z) (pow.f64 y 3)))
(/.f64 y z)
(cbrt.f64 (*.f64 (pow.f64 y 3) (/.f64 (pow.f64 z -2) z)))
(/.f64 y z)
(expm1.f64 (log1p.f64 (/.f64 y z)))
(/.f64 y z)
(log1p.f64 (expm1.f64 (/.f64 y z)))
(/.f64 y z)
(exp.f64 (log.f64 (/.f64 y z)))
(/.f64 y z)

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	6.8b	(/.f64 (/.f64 x z) (/.f64 1 y))

Compiler

Compiled 21 to 11 computations (47.6% saved)

series2.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite46.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

939×	`pow1_binary64`
871×	`add-log-exp_binary64`
871×	`log1p-expm1-u_binary64`
871×	`expm1-log1p-u_binary64`
851×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	172	7
2	2388	7

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

Inputs
(/.f64 (/.f64 x z) (/.f64 1 y))

Outputs

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

simplify43.0ms (1%)

Algorithm

1×	egg-herbie

Rules

630×	`log-div_binary64`
569×	`log-prod_binary64`
424×	`fma-def_binary64`
415×	`associate-/l*_binary64`
385×	`associate-*l/_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	122	608
1	332	590
2	1105	590
3	5366	590

Stop Event

1×	node limit

Counts

77 → 48

Calls

Call 1

Inputs
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(/.f64 (*.f64 y x) z)
(-.f64 (+.f64 1 (*.f64 (/.f64 x z) y)) 1)
(*.f64 x (/.f64 1 (/.f64 z y)))
(.f64 x (.f64 (/.f64 1 z) y))
(*.f64 (/.f64 x z) y)
(.f64 1 (.f64 (/.f64 x z) y))
(*.f64 y (/.f64 x z))
(.f64 (.f64 (/.f64 x z) y) 1)
(.f64 (cbrt.f64 (.f64 (/.f64 x z) y)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 x z) y)) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 x z) y)) 2) (cbrt.f64 (*.f64 (/.f64 x z) y)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) 2) (.f64 (cbrt.f64 (/.f64 x z)) y))
(.f64 (sqrt.f64 (.f64 (/.f64 x z) y)) (sqrt.f64 (*.f64 (/.f64 x z) y)))
(.f64 (sqrt.f64 (/.f64 x z)) (.f64 (sqrt.f64 (/.f64 x z)) y))
(*.f64 (neg.f64 (/.f64 x z)) (/.f64 1 (/.f64 -1 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 y)) (/.f64 (cbrt.f64 x) z))
(*.f64 (/.f64 (sqrt.f64 x) (/.f64 1 y)) (/.f64 (sqrt.f64 x) z))
(*.f64 (/.f64 x 1) (/.f64 (/.f64 1 z) (/.f64 1 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) 2) 1) (/.f64 (cbrt.f64 (/.f64 x z)) (/.f64 1 y)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 x z)) 1) (/.f64 (sqrt.f64 (/.f64 x z)) (/.f64 1 y)))
(*.f64 (/.f64 x (cbrt.f64 (pow.f64 y -2))) (/.f64 (/.f64 1 z) (/.f64 1 (cbrt.f64 y))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 y -2))) (/.f64 (/.f64 x z) (/.f64 1 (cbrt.f64 y))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) 2) (cbrt.f64 (pow.f64 y -2))) (cbrt.f64 (.f64 (/.f64 x z) y)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 x z)) (cbrt.f64 (pow.f64 y -2))) (/.f64 (sqrt.f64 (/.f64 x z)) (/.f64 1 (cbrt.f64 y))))
(*.f64 (/.f64 x (pow.f64 y -1/2)) (/.f64 (/.f64 1 z) (pow.f64 y -1/2)))
(*.f64 (/.f64 1 (pow.f64 y -1/2)) (/.f64 (/.f64 x z) (pow.f64 y -1/2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) 2) (pow.f64 y -1/2)) (/.f64 (cbrt.f64 (/.f64 x z)) (pow.f64 y -1/2)))
(*.f64 (/.f64 (/.f64 x z) -1) (neg.f64 y))
(.f64 (.f64 (/.f64 x z) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(.f64 (.f64 (/.f64 x z) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (*.f64 (/.f64 x z) y) 1)
(pow.f64 (pow.f64 (*.f64 (/.f64 x z) y) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 x z) y)) 3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 x z) y)) 2)
(pow.f64 (*.f64 (/.f64 1 y) (/.f64 z x)) -1)
(neg.f64 (/.f64 (/.f64 x z) (/.f64 -1 y)))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 x z) y) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 x z)) y))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 x z) y) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 x z) 3) (/.f64 (pow.f64 y -2) y)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 x z) y)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 x z) y)))
(exp.f64 (log.f64 (*.f64 (/.f64 x z) y)))

Outputs
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(-.f64 (+.f64 1 (*.f64 (/.f64 x z) y)) 1)
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(*.f64 x (/.f64 1 (/.f64 z y)))
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(.f64 x (.f64 (/.f64 1 z) y))
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(.f64 1 (.f64 (/.f64 x z) y))
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(.f64 (.f64 (/.f64 x z) y) 1)
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(.f64 (cbrt.f64 (.f64 (/.f64 x z) y)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 x z) y)) 2))
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 x z) y)) 2) (cbrt.f64 (*.f64 (/.f64 x z) y)))
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) 2) (.f64 (cbrt.f64 (/.f64 x z)) y))
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(.f64 (sqrt.f64 (.f64 (/.f64 x z) y)) (sqrt.f64 (*.f64 (/.f64 x z) y)))
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(.f64 (sqrt.f64 (/.f64 x z)) (.f64 (sqrt.f64 (/.f64 x z)) y))
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(*.f64 (neg.f64 (/.f64 x z)) (/.f64 1 (/.f64 -1 y)))
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 y)) (/.f64 (cbrt.f64 x) z))
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(*.f64 (/.f64 (sqrt.f64 x) (/.f64 1 y)) (/.f64 (sqrt.f64 x) z))
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(*.f64 (/.f64 x 1) (/.f64 (/.f64 1 z) (/.f64 1 y)))
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) 2) 1) (/.f64 (cbrt.f64 (/.f64 x z)) (/.f64 1 y)))
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(*.f64 (/.f64 (sqrt.f64 (/.f64 x z)) 1) (/.f64 (sqrt.f64 (/.f64 x z)) (/.f64 1 y)))
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(*.f64 (/.f64 x (cbrt.f64 (pow.f64 y -2))) (/.f64 (/.f64 1 z) (/.f64 1 (cbrt.f64 y))))
(.f64 (/.f64 x (cbrt.f64 (pow.f64 y -2))) (.f64 (/.f64 (/.f64 1 z) 1) (cbrt.f64 y)))
(*.f64 (/.f64 (/.f64 x z) (cbrt.f64 (pow.f64 y -2))) (cbrt.f64 y))
(*.f64 (cbrt.f64 y) (/.f64 (/.f64 x z) (cbrt.f64 (pow.f64 y -2))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 y -2))) (/.f64 (/.f64 x z) (/.f64 1 (cbrt.f64 y))))
(.f64 (/.f64 x (cbrt.f64 (pow.f64 y -2))) (.f64 (/.f64 (/.f64 1 z) 1) (cbrt.f64 y)))
(*.f64 (/.f64 (/.f64 x z) (cbrt.f64 (pow.f64 y -2))) (cbrt.f64 y))
(*.f64 (cbrt.f64 y) (/.f64 (/.f64 x z) (cbrt.f64 (pow.f64 y -2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) 2) (cbrt.f64 (pow.f64 y -2))) (cbrt.f64 (.f64 (/.f64 x z) y)))
(.f64 (cbrt.f64 (.f64 y (/.f64 x z))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) 2) (cbrt.f64 (pow.f64 y -2))))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) 2) (/.f64 (cbrt.f64 (pow.f64 y -2)) (cbrt.f64 (*.f64 x (/.f64 y z)))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 x z)) (cbrt.f64 (pow.f64 y -2))) (/.f64 (sqrt.f64 (/.f64 x z)) (/.f64 1 (cbrt.f64 y))))
(.f64 (/.f64 x (cbrt.f64 (pow.f64 y -2))) (.f64 (/.f64 (/.f64 1 z) 1) (cbrt.f64 y)))
(*.f64 (/.f64 (/.f64 x z) (cbrt.f64 (pow.f64 y -2))) (cbrt.f64 y))
(*.f64 (cbrt.f64 y) (/.f64 (/.f64 x z) (cbrt.f64 (pow.f64 y -2))))
(*.f64 (/.f64 x (pow.f64 y -1/2)) (/.f64 (/.f64 1 z) (pow.f64 y -1/2)))
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(*.f64 (/.f64 1 (pow.f64 y -1/2)) (/.f64 (/.f64 x z) (pow.f64 y -1/2)))
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) 2) (pow.f64 y -1/2)) (/.f64 (cbrt.f64 (/.f64 x z)) (pow.f64 y -1/2)))
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(*.f64 (/.f64 (/.f64 x z) -1) (neg.f64 y))
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(.f64 (.f64 (/.f64 x z) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(.f64 (.f64 (/.f64 x z) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(pow.f64 (*.f64 (/.f64 x z) y) 1)
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(pow.f64 (pow.f64 (*.f64 (/.f64 x z) y) 3) 1/3)
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 x z) y)) 3)
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 x z) y)) 2)
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(pow.f64 (*.f64 (/.f64 1 y) (/.f64 z x)) -1)
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(neg.f64 (/.f64 (/.f64 x z) (/.f64 -1 y)))
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 x z) y) 2))
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(log.f64 (pow.f64 (exp.f64 (/.f64 x z)) y))
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 x z) y) 3))
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 x z) 3) (/.f64 (pow.f64 y -2) y)))
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 x z) y)))
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 x z) y)))
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(exp.f64 (log.f64 (*.f64 (/.f64 x z) y)))
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))

eval15.0ms (0.4%)

Compiler: Compiled 852 to 382 computations (55.2% saved)

prune16.0ms (0.4%)

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	89	7	96

Error

Counts

96 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	7.0b	(/.f64 (/.f64 x z) (/.f64 1 y))
✓	8.1b	(/.f64 (*.f64 y x) z)
✓	6.5b	(/.f64 x (/.f64 z y))
✓	8.5b	(/.f64 1 (/.f64 z (*.f64 y x)))
✓	6.2b	(.f64 (.f64 (/.f64 1 z) y) x)
✓	7.0b	(*.f64 y (/.f64 x z))
✓	6.1b	(*.f64 x (/.f64 y z))

Compiler

Compiled 69 to 48 computations (30.4% saved)

regimes170.0ms (4.1%)

Counts

10 → 5

Calls

Call 1

Inputs
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 x (/.f64 z y))
(/.f64 (*.f64 y x) z)
(.f64 (.f64 (/.f64 1 z) y) x)
(/.f64 1 (/.f64 z (*.f64 y x)))
(/.f64 (/.f64 x z) (/.f64 1 y))
(.f64 x (/.f64 (.f64 (/.f64 y z) t) t))
(*.f64 (/.f64 1 z) (/.f64 x (/.f64 1 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 z y)))

Outputs
(/.f64 1 (/.f64 z (*.f64 y x)))
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 x (/.f64 y z))
(/.f64 1 (/.f64 z (*.f64 y x)))

Calls

8 calls:

27.0ms	(/.f64 y z)
27.0ms	y
23.0ms	(/.f64 y z)
22.0ms	x
22.0ms	z

Results

Error	Segments	Branch
3.3b	4	`x`
3.7b	4	`y`
4.3b	3	`z`
6.1b	1	`t`
0.3b	5	`(.f64 x (/.f64 (.f64 (/.f64 y z) t) t))`
0.1b	5	`(/.f64 (*.f64 (/.f64 y z) t) t)`
0.1b	5	`(/.f64 y z)`
0.1b	5	`(/.f64 y z)`

Compiler

Compiled 134 to 79 computations (41% saved)

bsearch1.0ms (0%)

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	2.537091768162135e+109	1.7242016328233612e+123
0.0ms	9.368477614565973e-254	6.624317452486111e-252
0.0ms	-1.9891741509673937e-242	-3.3090775318233174e-244
0.0ms	-1.4024673558364042e+256	-3.763760855228358e+222

Compiler

Compiled 20 to 14 computations (30% saved)

regimes73.0ms (1.7%)

Counts

5 → 5

Calls

Call 1

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

Outputs
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 y x) z)

Calls

5 calls:

19.0ms	y
17.0ms	(/.f64 y z)
16.0ms	z
15.0ms	x
5.0ms	t

Results

Error	Segments	Branch
3.3b	4	`x`
3.7b	4	`y`
4.3b	3	`z`
6.1b	1	`t`
0.1b	5	`(/.f64 y z)`

Compiler

Compiled 58 to 37 computations (36.2% saved)

bsearch1.0ms (0%)

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	1.7242016328233612e+123	1.8242415261869685e+130
0.0ms	9.368477614565973e-254	6.624317452486111e-252
0.0ms	-1.9891741509673937e-242	-3.3090775318233174e-244
0.0ms	-1.4024673558364042e+256	-3.763760855228358e+222

Compiler

Compiled 20 to 14 computations (30% saved)

regimes50.0ms (1.2%)

Accuracy

Total -13.5b remaining (-8646.9%)

Threshold costs -13.5b (-8646.9%)

Counts

3 → 5

Calls

Call 1

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

Outputs
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))

Calls

5 calls:

13.0ms	(/.f64 y z)
12.0ms	x
9.0ms	y
9.0ms	z
4.0ms	t

Results

Error	Segments	Branch
3.8b	4	`x`
5.1b	2	`y`
5.0b	3	`z`
6.1b	1	`t`
0.2b	5	`(/.f64 y z)`

Compiler

Compiled 46 to 31 computations (32.6% saved)

bsearch1.0ms (0%)

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	1.4681785374936093e+140	1.3236283776760812e+148
0.0ms	9.368477614565973e-254	6.624317452486111e-252
0.0ms	-6.1146728675413206e-266	-4.1031516324431434e-269
0.0ms	-1.4024673558364042e+256	-3.763760855228358e+222

Compiler

Compiled 20 to 14 computations (30% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	226
1	45	226

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 y z) -10000000000000000301276599001405425028904865397746951288321079799032741333776462328211123562691457635682438430171727828179669341366863773446884995019955719986278664561744213800260397056562295560224215930269510378288141352402853119916429412464176397346144256) (/.f64 1 (/.f64 z (.f64 y x))) (if (<=.f64 (/.f64 y z) -75075168288047/7507516828804700229971157695509256861311759593549503536677899390762631562619231707947410198580331380848554019184705462619182690666302243261761460906639905160039726922590902577336628349889145412319979767917902626154330339044684617119264613887239597666074624) (.f64 x (/.f64 y z)) (if (<=.f64 (/.f64 y z) 825460204899477/8254602048994769474255309139320571976856989469314398783249386078541779727448825929287769623244643560854287421769642635607536680617229461519539671538483430889193541937484454440136429963694163141453503639190799818814812942074243152169349951543234944945149040326527156224) (/.f64 (.f64 y x) z) (if (<=.f64 (/.f64 y z) 50000000000000001178468375708512791662476639752844093156495626963414083423308086629915468079622475513115705344) (.f64 x (/.f64 y z)) (/.f64 1 (/.f64 z (*.f64 y x)))))))
(if (<=.f64 (/.f64 y z) -10000000000000000301276599001405425028904865397746951288321079799032741333776462328211123562691457635682438430171727828179669341366863773446884995019955719986278664561744213800260397056562295560224215930269510378288141352402853119916429412464176397346144256) (.f64 y (/.f64 x z)) (if (<=.f64 (/.f64 y z) -75075168288047/7507516828804700229971157695509256861311759593549503536677899390762631562619231707947410198580331380848554019184705462619182690666302243261761460906639905160039726922590902577336628349889145412319979767917902626154330339044684617119264613887239597666074624) (.f64 x (/.f64 y z)) (if (<=.f64 (/.f64 y z) 825460204899477/8254602048994769474255309139320571976856989469314398783249386078541779727448825929287769623244643560854287421769642635607536680617229461519539671538483430889193541937484454440136429963694163141453503639190799818814812942074243152169349951543234944945149040326527156224) (/.f64 (.f64 y x) z) (if (<=.f64 (/.f64 y z) 1999999999999999955419939462808259340115968595189843154784166645324982581779679772155733117683015263369515044141902701002752) (.f64 x (/.f64 y z)) (/.f64 (*.f64 y x) z)))))
(if (<=.f64 (/.f64 y z) -10000000000000000301276599001405425028904865397746951288321079799032741333776462328211123562691457635682438430171727828179669341366863773446884995019955719986278664561744213800260397056562295560224215930269510378288141352402853119916429412464176397346144256) (.f64 y (/.f64 x z)) (if (<=.f64 (/.f64 y z) -7260824748426675/145216494968533502226373290834951226575318379068300240142165220636322329800820739604020343212515268612285031620136032524458455590385244698026448298935780725174118246137447253314715469710380638366234296463120257539655053584656042977359091693393423640919145029829506241486695834845184) (.f64 x (/.f64 y z)) (if (<=.f64 (/.f64 y z) 825460204899477/8254602048994769474255309139320571976856989469314398783249386078541779727448825929287769623244643560854287421769642635607536680617229461519539671538483430889193541937484454440136429963694163141453503639190799818814812942074243152169349951543234944945149040326527156224) (.f64 y (/.f64 x z)) (if (<=.f64 (/.f64 y z) 200000000000000011856760248162974007412724977534090657729700148965999155656947961304046593016036249138303584474586765896459394327029164802048) (.f64 x (/.f64 y z)) (*.f64 y (/.f64 x z))))))
(*.f64 x (/.f64 y z))

Outputs
(if (<=.f64 (/.f64 y z) -10000000000000000301276599001405425028904865397746951288321079799032741333776462328211123562691457635682438430171727828179669341366863773446884995019955719986278664561744213800260397056562295560224215930269510378288141352402853119916429412464176397346144256) (/.f64 1 (/.f64 z (.f64 y x))) (if (<=.f64 (/.f64 y z) -75075168288047/7507516828804700229971157695509256861311759593549503536677899390762631562619231707947410198580331380848554019184705462619182690666302243261761460906639905160039726922590902577336628349889145412319979767917902626154330339044684617119264613887239597666074624) (.f64 x (/.f64 y z)) (if (<=.f64 (/.f64 y z) 825460204899477/8254602048994769474255309139320571976856989469314398783249386078541779727448825929287769623244643560854287421769642635607536680617229461519539671538483430889193541937484454440136429963694163141453503639190799818814812942074243152169349951543234944945149040326527156224) (/.f64 (.f64 y x) z) (if (<=.f64 (/.f64 y z) 50000000000000001178468375708512791662476639752844093156495626963414083423308086629915468079622475513115705344) (.f64 x (/.f64 y z)) (/.f64 1 (/.f64 z (*.f64 y x)))))))
(if (<=.f64 (/.f64 y z) -10000000000000000301276599001405425028904865397746951288321079799032741333776462328211123562691457635682438430171727828179669341366863773446884995019955719986278664561744213800260397056562295560224215930269510378288141352402853119916429412464176397346144256) (/.f64 1 (/.f64 z (.f64 y x))) (if (<=.f64 (/.f64 y z) -75075168288047/7507516828804700229971157695509256861311759593549503536677899390762631562619231707947410198580331380848554019184705462619182690666302243261761460906639905160039726922590902577336628349889145412319979767917902626154330339044684617119264613887239597666074624) (.f64 (/.f64 y z) x) (if (<=.f64 (/.f64 y z) 825460204899477/8254602048994769474255309139320571976856989469314398783249386078541779727448825929287769623244643560854287421769642635607536680617229461519539671538483430889193541937484454440136429963694163141453503639190799818814812942074243152169349951543234944945149040326527156224) (/.f64 (.f64 y x) z) (if (<=.f64 (/.f64 y z) 50000000000000001178468375708512791662476639752844093156495626963414083423308086629915468079622475513115705344) (.f64 (/.f64 y z) x) (/.f64 1 (/.f64 z (*.f64 y x)))))))
(if (<=.f64 (/.f64 y z) -10000000000000000301276599001405425028904865397746951288321079799032741333776462328211123562691457635682438430171727828179669341366863773446884995019955719986278664561744213800260397056562295560224215930269510378288141352402853119916429412464176397346144256) (.f64 y (/.f64 x z)) (if (<=.f64 (/.f64 y z) -75075168288047/7507516828804700229971157695509256861311759593549503536677899390762631562619231707947410198580331380848554019184705462619182690666302243261761460906639905160039726922590902577336628349889145412319979767917902626154330339044684617119264613887239597666074624) (.f64 x (/.f64 y z)) (if (<=.f64 (/.f64 y z) 825460204899477/8254602048994769474255309139320571976856989469314398783249386078541779727448825929287769623244643560854287421769642635607536680617229461519539671538483430889193541937484454440136429963694163141453503639190799818814812942074243152169349951543234944945149040326527156224) (/.f64 (.f64 y x) z) (if (<=.f64 (/.f64 y z) 1999999999999999955419939462808259340115968595189843154784166645324982581779679772155733117683015263369515044141902701002752) (.f64 x (/.f64 y z)) (/.f64 (*.f64 y x) z)))))
(if (<=.f64 (/.f64 y z) -10000000000000000301276599001405425028904865397746951288321079799032741333776462328211123562691457635682438430171727828179669341366863773446884995019955719986278664561744213800260397056562295560224215930269510378288141352402853119916429412464176397346144256) (.f64 y (/.f64 x z)) (if (<=.f64 (/.f64 y z) -75075168288047/7507516828804700229971157695509256861311759593549503536677899390762631562619231707947410198580331380848554019184705462619182690666302243261761460906639905160039726922590902577336628349889145412319979767917902626154330339044684617119264613887239597666074624) (.f64 (/.f64 y z) x) (if (<=.f64 (/.f64 y z) 825460204899477/8254602048994769474255309139320571976856989469314398783249386078541779727448825929287769623244643560854287421769642635607536680617229461519539671538483430889193541937484454440136429963694163141453503639190799818814812942074243152169349951543234944945149040326527156224) (/.f64 (.f64 y x) z) (if (<=.f64 (/.f64 y z) 1999999999999999955419939462808259340115968595189843154784166645324982581779679772155733117683015263369515044141902701002752) (.f64 (/.f64 y z) x) (/.f64 (*.f64 y x) z)))))
(if (<=.f64 (/.f64 y z) -10000000000000000301276599001405425028904865397746951288321079799032741333776462328211123562691457635682438430171727828179669341366863773446884995019955719986278664561744213800260397056562295560224215930269510378288141352402853119916429412464176397346144256) (.f64 y (/.f64 x z)) (if (<=.f64 (/.f64 y z) -7260824748426675/145216494968533502226373290834951226575318379068300240142165220636322329800820739604020343212515268612285031620136032524458455590385244698026448298935780725174118246137447253314715469710380638366234296463120257539655053584656042977359091693393423640919145029829506241486695834845184) (.f64 x (/.f64 y z)) (if (<=.f64 (/.f64 y z) 825460204899477/8254602048994769474255309139320571976856989469314398783249386078541779727448825929287769623244643560854287421769642635607536680617229461519539671538483430889193541937484454440136429963694163141453503639190799818814812942074243152169349951543234944945149040326527156224) (.f64 y (/.f64 x z)) (if (<=.f64 (/.f64 y z) 200000000000000011856760248162974007412724977534090657729700148965999155656947961304046593016036249138303584474586765896459394327029164802048) (.f64 x (/.f64 y z)) (*.f64 y (/.f64 x z))))))
(if (<=.f64 (/.f64 y z) -10000000000000000301276599001405425028904865397746951288321079799032741333776462328211123562691457635682438430171727828179669341366863773446884995019955719986278664561744213800260397056562295560224215930269510378288141352402853119916429412464176397346144256) (.f64 y (/.f64 x z)) (if (<=.f64 (/.f64 y z) -7260824748426675/145216494968533502226373290834951226575318379068300240142165220636322329800820739604020343212515268612285031620136032524458455590385244698026448298935780725174118246137447253314715469710380638366234296463120257539655053584656042977359091693393423640919145029829506241486695834845184) (.f64 (/.f64 y z) x) (if (<=.f64 (/.f64 y z) 825460204899477/8254602048994769474255309139320571976856989469314398783249386078541779727448825929287769623244643560854287421769642635607536680617229461519539671538483430889193541937484454440136429963694163141453503639190799818814812942074243152169349951543234944945149040326527156224) (.f64 y (/.f64 x z)) (if (<=.f64 (/.f64 y z) 200000000000000011856760248162974007412724977534090657729700148965999155656947961304046593016036249138303584474586765896459394327029164802048) (.f64 (/.f64 y z) x) (*.f64 y (/.f64 x z))))))
(*.f64 x (/.f64 y z))
(*.f64 (/.f64 y z) x)

Compiler

Compiled 172 to 73 computations (57.6% saved)

soundness527.0ms (12.6%)

Algorithm

3×	egg-herbie

Rules

1441×	`associate-/l/_binary64`
1441×	`associate-/l/_binary64`
1441×	`associate-/l/_binary64`
1020×	`associate-/r/_binary64`
1020×	`associate-/r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	17	10
2	43	7
3	104	7
4	454	7
5	2329	7
6	2523	7
7	2536	7
8	2549	7
9	2556	7
10	2563	7
11	2570	7
12	2577	7
13	2584	7
14	2591	7
15	2598	7
16	2605	7
17	2612	7
18	2619	7
19	2626	7
20	2633	7
0	9	13
1	17	10
2	43	7
3	104	7
4	454	7
5	2329	7
6	2523	7
7	2536	7
8	2549	7
9	2556	7
10	2563	7
11	2570	7
12	2577	7
13	2584	7
14	2591	7
15	2598	7
16	2605	7
17	2612	7
18	2619	7
19	2626	7
20	2633	7
0	9	13
1	17	10
2	43	7
3	104	7
4	454	7
5	2329	7
6	2523	7
7	2536	7
8	2549	7
9	2556	7
10	2563	7
11	2570	7
12	2577	7
13	2584	7
14	2591	7
15	2598	7
16	2605	7
17	2612	7
18	2619	7
19	2626	7
20	2633	7

Stop Event

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

Compiler

Compiled 165 to 108 computations (34.5% saved)

end52.0ms (1.3%)

Compiler: Compiled 274 to 101 computations (63.1% saved)

Details

analyze344.0ms (8.2%)

sample1.3s (30%)

preprocess99.0ms (2.4%)

simplify73.0ms (1.7%)

eval1.0ms (0%)

prune2.0ms (0%)

localize5.0ms (0.1%)

series6.0ms (0.1%)

rewrite67.0ms (1.6%)

simplify43.0ms (1%)

localize5.0ms (0.1%)

series4.0ms (0.1%)

rewrite38.0ms (0.9%)

simplify45.0ms (1.1%)

localize5.0ms (0.1%)

series3.0ms (0.1%)

rewrite42.0ms (1%)

simplify42.0ms (1%)

eval33.0ms (0.8%)

prune37.0ms (0.9%)

localize11.0ms (0.3%)

series4.0ms (0.1%)

rewrite61.0ms (1.5%)

simplify83.0ms (2%)

localize15.0ms (0.4%)

series27.0ms (0.7%)

rewrite67.0ms (1.6%)

simplify65.0ms (1.6%)

localize7.0ms (0.2%)

series36.0ms (0.9%)

rewrite47.0ms (1.1%)

simplify73.0ms (1.7%)

localize5.0ms (0.1%)

series18.0ms (0.4%)

rewrite43.0ms (1%)

simplify38.0ms (0.9%)

eval190.0ms (4.5%)

prune139.0ms (3.3%)

localize9.0ms (0.2%)

series8.0ms (0.2%)

rewrite45.0ms (1.1%)

simplify41.0ms (1%)

localize8.0ms (0.2%)

series2.0ms (0.1%)

rewrite46.0ms (1.1%)

simplify43.0ms (1%)

eval15.0ms (0.4%)

prune16.0ms (0.4%)

regimes170.0ms (4.1%)

bsearch1.0ms (0%)

regimes73.0ms (1.7%)

bsearch1.0ms (0%)

regimes50.0ms (1.2%)

bsearch1.0ms (0%)

simplify7.0ms (0.2%)

soundness527.0ms (12.6%)

end52.0ms (1.3%)

Profiling