Details

analyze157.0ms (0.7%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
12.5%	12.5%	87.4%	0.1%	0%	0%	0%	7
21.9%	21.8%	78%	0.1%	0%	0%	0%	8
30.2%	29.6%	68.6%	0.1%	1.6%	0%	0%	9
39.8%	38.2%	57.7%	0.1%	3.9%	0%	0%	10
48.4%	46.4%	49.5%	0.1%	3.9%	0%	0%	11
56.1%	52.9%	41.3%	0.1%	5.7%	0%	0%	12

Compiler

Compiled 9 to 6 computations (33.3% saved)

sample852.0ms (3.9%)

Results

744.0ms	8256×	body	256	valid
94.0ms	1100×	body	256	infinite

Bogosity

preprocess16.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

9×	`*-commutative_binary64`
6×	`associate-/l*_binary64`
6×	`associate-/r/_binary64`
1×	`swap-x-y`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	28
1	22	28
2	30	28
3	36	28
4	38	28
0	3	3
1	3	3

Stop Event

1×	unsound
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
0
2

Call 2

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

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

Symmetry

(sort x y)

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
2×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	9	7
2	13	7
3	16	7
4	17	7

Stop Event

1×

saturated

Counts

1 → 5

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 28 to 12 computations (57.1% saved)

prune2.0ms (0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	1	4	5
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	5	6

Error

0.0b

Counts

6 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	7.3b	(/.f64 (*.f64 x y) z)
▶	4.8b	(/.f64 x (/.f64 z y))
▶	5.6b	(*.f64 (/.f64 x z) y)
▶	4.5b	(*.f64 x (/.f64 y z))

Compiler

Compiled 32 to 20 computations (37.5% saved)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	4.4b	(*.f64 x (/.f64 y z))

Compiler

Compiled 14 to 5 computations (64.3% saved)

series10.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

Compiler

Compiled 324 to 216 computations (33.3% saved)

rewrite40.0ms (0.2%)

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))))))))

simplify35.0ms (0.2%)

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%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.5b	(*.f64 (/.f64 x z) y)

Compiler

Compiled 14 to 5 computations (64.3% saved)

series5.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

Compiler

Compiled 324 to 216 computations (33.3% saved)

rewrite41.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

682×	`pow1_binary64`
629×	`add-log-exp_binary64`
629×	`log1p-expm1-u_binary64`
629×	`expm1-log1p-u_binary64`
614×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	125	7
2	1675	7

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

Inputs
(*.f64 (/.f64 x z) 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 z y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 z x))))) (#(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 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 (/.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 sqrt.f64 (pow.f64 (.f64 (/.f64 x z) y) 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 (/.f64 x z) y) 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 cbrt.f64 (.f64 (pow.f64 y 3) (pow.f64 (/.f64 x z) 3)))))) (#(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)))))))

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

simplify35.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

756×	`log-prod_binary64`
464×	`associate-l_binary64`
394×	`associate-r_binary64`
314×	`log-div_binary64`
300×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	413
1	154	413
2	576	413
3	4122	413

Stop Event

1×	node limit

Counts

59 → 26

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 z y))
(/.f64 y (/.f64 z x))
(/.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 x) y) (neg.f64 z))
(/.f64 (*.f64 y (neg.f64 x)) (neg.f64 z))
(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)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 x z) y) 2))
(log.f64 (pow.f64 (exp.f64 y) (/.f64 x z)))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 x z) y) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 y 3)))
(cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (/.f64 x z) 3)))
(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 z y))
(*.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 x y)))
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(/.f64 (neg.f64 (*.f64 x y)) (neg.f64 z))
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(/.f64 (/.f64 (*.f64 x y) 1) z)
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(/.f64 (/.f64 (*.f64 x y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(/.f64 (/.f64 (*.f64 x y) (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 (/.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))
(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 y) (/.f64 x z)))
(*.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) (pow.f64 y 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))
(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))

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	4.7b	(/.f64 x (/.f64 z y))

Compiler

Compiled 14 to 5 computations (64.3% saved)

series7.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	y	@	-inf	(/.f64 x (/.f64 z y))
1.0ms	x	@	0	(/.f64 x (/.f64 z y))
1.0ms	x	@	inf	(/.f64 x (/.f64 z y))
1.0ms	z	@	inf	(/.f64 x (/.f64 z y))
1.0ms	x	@	-inf	(/.f64 x (/.f64 z y))

Compiler

Compiled 324 to 216 computations (33.3% saved)

rewrite42.0ms (0.2%)

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))))))))

simplify41.0ms (0.2%)

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))

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	7.1b	(/.f64 (*.f64 x y) z)

Compiler

Compiled 14 to 5 computations (64.3% saved)

series6.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

Compiler

Compiled 324 to 216 computations (33.3% saved)

rewrite40.0ms (0.2%)

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 x y) z)

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

simplify41.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

694×	`log-div_binary64`
570×	`log-prod_binary64`
512×	`associate-/l*_binary64`
380×	`associate-*l/_binary64`
337×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	108	628
1	284	628
2	992	628
3	5166	608

Stop Event

1×	node limit

Counts

77 → 49

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

eval21.0ms (0.1%)

Compiler: Compiled 1347 to 442 computations (67.2% saved)

prune18.0ms (0.1%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	144	4	148
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	144	8	152

Error

Counts

152 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	7.3b	(/.f64 (*.f64 x y) z)
▶	5.3b	(/.f64 y (/.f64 z x))
✓	4.8b	(/.f64 x (/.f64 z y))
▶	7.8b	(/.f64 1 (/.f64 z (*.f64 x y)))
✓	5.6b	(*.f64 (/.f64 x z) y)
▶	35.9b	(*.f64 (/.f64 1 (sqrt.f64 (/.f64 z y))) (/.f64 x (sqrt.f64 (/.f64 z y))))
✓	4.5b	(*.f64 x (/.f64 y z))
▶	5.1b	(*.f64 x (/.f64 1 (/.f64 z y)))

Compiler

Compiled 76 to 48 computations (36.8% saved)

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.8b	(/.f64 1 (/.f64 z y))
✓	4.4b	(*.f64 x (/.f64 1 (/.f64 z y)))

Compiler

Compiled 22 to 10 computations (54.5% saved)

series12.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
3.0ms	y	@	-inf	(*.f64 x (/.f64 1 (/.f64 z y)))
1.0ms	y	@	-inf	(/.f64 1 (/.f64 z y))
1.0ms	z	@	0	(/.f64 1 (/.f64 z y))
1.0ms	z	@	-inf	(/.f64 1 (/.f64 z y))
1.0ms	y	@	0	(/.f64 1 (/.f64 z y))

Compiler

Compiled 492 to 336 computations (31.7% saved)

rewrite46.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

839×	`pow1_binary64`
775×	`add-log-exp_binary64`
775×	`log1p-expm1-u_binary64`
775×	`expm1-log1p-u_binary64`
757×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	167	11
2	2186	11

Stop Event

1×	node limit

Counts

2 → 61

Calls

Call 1

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

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

simplify51.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

698×	`fma-def_binary64`
558×	`times-frac_binary64`
471×	`associate-*l/_binary64`
470×	`unswap-sqr_binary64`
444×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	155	736
1	384	718
2	1343	709
3	7689	709

Stop Event

1×	node limit

Counts

121 → 69

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

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (/.f64 1 (sqrt.f64 (/.f64 z y))) (/.f64 x (sqrt.f64 (/.f64 z y))))
✓	0.1b	(/.f64 1 (sqrt.f64 (/.f64 z y)))
✓	0.1b	(/.f64 x (sqrt.f64 (/.f64 z y)))
✓	5.2b	(sqrt.f64 (/.f64 z y))

Compiler

Compiled 39 to 12 computations (69.2% saved)

series19.3s (88.2%)

Counts

4 → 12

Calls

30 calls:

Time	Variable		Point	Expression
1.8s	y	@	inf	(*.f64 (/.f64 1 (sqrt.f64 (/.f64 z y))) (/.f64 x (sqrt.f64 (/.f64 z y))))
1.6s	z	@	0	(*.f64 (/.f64 1 (sqrt.f64 (/.f64 z y))) (/.f64 x (sqrt.f64 (/.f64 z y))))
1.5s	y	@	-inf	(*.f64 (/.f64 1 (sqrt.f64 (/.f64 z y))) (/.f64 x (sqrt.f64 (/.f64 z y))))
1.5s	z	@	inf	(*.f64 (/.f64 1 (sqrt.f64 (/.f64 z y))) (/.f64 x (sqrt.f64 (/.f64 z y))))
1.5s	y	@	0	(*.f64 (/.f64 1 (sqrt.f64 (/.f64 z y))) (/.f64 x (sqrt.f64 (/.f64 z y))))

Compiler

Compiled 1828120 to 1268288 computations (30.6% saved)

rewrite68.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

550×	`log-prod_binary64`
417×	`exp-prod_binary64`
343×	`pow-prod-down_binary64`
257×	`pow2_binary64`
229×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	31
1	211	28
2	2874	28

Stop Event

1×	node limit

Counts

4 → 219

Calls

Call 1

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

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

simplify77.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

374×	`div-sub_binary64`
326×	`sqr-pow_binary64`
323×	`log-prod_binary64`
316×	`cancel-sign-sub-inv_binary64`
298×	`times-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	459	2706
1	1030	2344
2	3811	2332

Stop Event

1×	node limit

Counts

231 → 253

Calls

Call 1

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

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

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.9b	(/.f64 1 (/.f64 z (*.f64 x y)))
✓	6.8b	(/.f64 z (*.f64 x y))

Compiler

Compiled 22 to 8 computations (63.6% saved)

series18.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
4.0ms	z	@	0	(/.f64 z (*.f64 x y))
2.0ms	z	@	inf	(/.f64 z (*.f64 x y))
2.0ms	x	@	-inf	(/.f64 z (*.f64 x y))
1.0ms	z	@	-inf	(/.f64 z (*.f64 x y))
1.0ms	y	@	0	(/.f64 z (*.f64 x y))

Compiler

Compiled 648 to 432 computations (33.3% saved)

rewrite48.0ms (0.2%)

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

Outputs

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

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

simplify57.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

696×	`fma-neg_binary64`
556×	`log-div_binary64`
448×	`unswap-sqr_binary64`
330×	`associate-/r/_binary64`
291×	`*-commutative_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	199	1120
1	517	1114
2	1916	1114
3	6954	1114

Stop Event

1×	node limit

Counts

155 → 91

Calls

Call 1

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

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

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.2b	(/.f64 y (/.f64 z x))

Compiler

Compiled 14 to 5 computations (64.3% saved)

series5.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

Compiler

Compiled 324 to 216 computations (33.3% saved)

rewrite46.0ms (0.2%)

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 y (/.f64 z x))

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 x z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (/.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 y (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y (/.f64 x z))) (pow.f64 (cbrt.f64 (*.f64 y (/.f64 x z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 x z))) 2) (cbrt.f64 (*.f64 y (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y (/.f64 x z))) (sqrt.f64 (*.f64 y (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (/.f64 (neg.f64 z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x z) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y z) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) (/.f64 y (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) z) (/.f64 (cbrt.f64 y) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) z) (/.f64 (sqrt.f64 y) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (/.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (/.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 z x)) 2)) (/.f64 y (cbrt.f64 (/.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (/.f64 z x)) 2)) (cbrt.f64 (*.f64 y (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (/.f64 z x)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 z x))) (/.f64 y (sqrt.f64 (/.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (/.f64 z x))) (/.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 1) (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (neg.f64 z)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y z) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y z) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y z) (sqrt.f64 x)) (sqrt.f64 x))))) (#(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 pow.f64 (/.f64 z (*.f64 y x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (/.f64 (neg.f64 z) x)))))) (#(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 z x) 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 (0.2%)

Algorithm

1×	egg-herbie

Rules

839×	`log-div_binary64`
661×	`log-prod_binary64`
492×	`associate-*l/_binary64`
436×	`fma-def_binary64`
434×	`associate-/l*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	112	618
1	295	606
2	1006	606
3	5764	606

Stop Event

1×	node limit

Counts

77 → 50

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

eval86.0ms (0.4%)

Compiler: Compiled 7094 to 2484 computations (65% saved)

prune89.0ms (0.4%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	521	1	522
Fresh	0	0	0
Picked	0	1	1
Done	2	5	7
Total	523	7	530

Error

Counts

530 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	5.7b	(/.f64 (/.f64 x z) (/.f64 1 y))
✓	7.3b	(/.f64 (*.f64 x y) z)
✓	5.3b	(/.f64 y (/.f64 z x))
✓	4.8b	(/.f64 x (/.f64 z y))
✓	5.6b	(*.f64 (/.f64 x z) y)
✓	4.5b	(*.f64 x (/.f64 y z))
✓	5.1b	(*.f64 x (/.f64 1 (/.f64 z y)))

Compiler

Compiled 60 to 39 computations (35% saved)

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 20 to 10 computations (50% saved)

series5.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

Compiler

Compiled 324 to 216 computations (33.3% saved)

rewrite49.0ms (0.2%)

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)))))))

simplify47.0ms (0.2%)

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))

eval8.0ms (0%)

Compiler: Compiled 522 to 235 computations (55% saved)

prune10.0ms (0%)

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	48	0	48
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	48	7	55

Error

Counts

55 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	5.7b	(/.f64 (/.f64 x z) (/.f64 1 y))
✓	7.3b	(/.f64 (*.f64 x y) z)
✓	5.3b	(/.f64 y (/.f64 z x))
✓	4.8b	(/.f64 x (/.f64 z y))
✓	5.6b	(*.f64 (/.f64 x z) y)
✓	4.5b	(*.f64 x (/.f64 y z))
✓	5.1b	(*.f64 x (/.f64 1 (/.f64 z y)))

Compiler

Compiled 60 to 39 computations (35% saved)

regimes143.0ms (0.7%)

Counts

9 → 5

Calls

Call 1

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

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

Calls

6 calls:

54.0ms	x
21.0ms	(*.f64 x y)
21.0ms	(*.f64 x y)
19.0ms	(/.f64 (*.f64 x y) z)
15.0ms	z

Results

Error	Segments	Branch
1.9b	4	`x`
3.4b	2	`y`
3.4b	3	`z`
0.3b	5	`(/.f64 (*.f64 x y) z)`
0.2b	5	`(*.f64 x y)`
0.2b	5	`(*.f64 x y)`

Compiler

Compiled 94 to 49 computations (47.9% saved)

bsearch1.0ms (0%)

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	7.309323731171416e+263	1.7023962960898917e+264
0.0ms	0.0	2.72870624e-315
0.0ms	-6.672112316200986e-256	-9.902440368088524e-258
0.0ms	-1.1100134789454937e+188	-1.6928332958498287e+148

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes32.0ms (0.1%)

Counts

4 → 4

Calls

Call 1

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

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

Calls

3 calls:

14.0ms	x
10.0ms	z
7.0ms	y

Results

Error	Segments	Branch
1.9b	4	`x`
3.4b	2	`y`
3.4b	3	`z`

Compiler

Compiled 35 to 20 computations (42.9% saved)

bsearch55.0ms (0.3%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
13.0ms	-3.796480675108264e-235	-8.803778811646928e-240
24.0ms	-1.9358052728779468e+77	-1.4099891959307885e+73
18.0ms	-1.226948822392944e+257	-3.4972780086844126e+254

Results

44.0ms	384×	body	256	valid
6.0ms	73×	body	256	infinite

Compiler

Compiled 446 to 298 computations (33.2% saved)

regimes28.0ms (0.1%)

Accuracy

Total -8.7b remaining (-439.1%)

Threshold costs -8.7b (-439.1%)

Counts

3 → 4

Calls

Call 1

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

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

Calls

3 calls:

13.0ms	x
11.0ms	z
3.0ms	y

Results

Error	Segments	Branch
2.0b	4	`x`
4.5b	1	`y`
3.4b	3	`z`

Compiler

Compiled 30 to 18 computations (40% saved)

bsearch39.0ms (0.2%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
13.0ms	-3.796480675108264e-235	-8.803778811646928e-240
7.0ms	-6.543775618553068e+39	-4.0756060110227113e+39
19.0ms	-2.627385777449713e+252	-1.4031429973243342e+248

Results

29.0ms	320×	body	256	valid
6.0ms	70×	body	256	infinite

Compiler

Compiled 374 to 250 computations (33.2% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	170
1	44	170

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 x y) -100000000000000002309309130269787154892983822485169927543056457815484218967945768886576179686795076111078238543825857419659919011313587350687602971665369018571203143144663564875896666980352) (/.f64 y (/.f64 z x)) (if (<=.f64 (.f64 x y) -2113178124542661/4226356249085321970818718279332132852150778608288972177023685672213391220453798875795338047101257503157395159946057029431058780476021484298004311827703516615267093471992040673349852141411411528424193863265689507233184226342012493910707175190136291811916308647181903986688) (/.f64 (.f64 x y) z) (if (<=.f64 (.f64 x y) 0) (.f64 (/.f64 x z) y) (if (<=.f64 (.f64 x y) 1000000000000000044140518902895287779286391397382581274563006173283444396083023609274483667691850832398819698877547611031397112968428705874685599733334034192471780653571870045215197739635249206690814463183771858052833032509915549602573975010166573043840478561173504) (/.f64 (.f64 x y) z) (.f64 x (/.f64 y z))))))
(if (<=.f64 x -82000000000000001136865225235553630421049538117273441135281189888886846857715428738523765650543538308309554953097310042487306480521634853086696628339763887814813838940136543943103739961007911901222913445847180156169755862526075186976571574710954200005607424) (/.f64 y (/.f64 z x)) (if (<=.f64 x -1749999999999999921661430941935544226826721012260400131528474790327910137856) (.f64 x (/.f64 y z)) (if (<=.f64 x -1324549306229467/3579862989809370150552347991709354811340217396521331566180181212788883000669113019918160533228078546928669938652374965009299607594634172087555628255195572452564109288497401512783350157684872347030630001028968155934491319200842197951919848388309286912) (/.f64 y (/.f64 z x)) (.f64 x (/.f64 y z)))))
(if (<=.f64 x -1499999999999999945236390685459091970033264001486938019252028915607655084751471877964118143289800385729334237789081085453538167211669955817430107269856391217104382298247724640780593889011567505509949099749073744643989759807830955859580640018783021301760) (.f64 (/.f64 x z) y) (if (<=.f64 x -4499999999999999955364839849957273894912) (.f64 x (/.f64 y z)) (if (<=.f64 x -1324549306229467/3579862989809370150552347991709354811340217396521331566180181212788883000669113019918160533228078546928669938652374965009299607594634172087555628255195572452564109288497401512783350157684872347030630001028968155934491319200842197951919848388309286912) (.f64 (/.f64 x z) y) (.f64 x (/.f64 y z)))))
(*.f64 x (/.f64 y z))

Outputs
(if (<=.f64 (.f64 x y) -100000000000000002309309130269787154892983822485169927543056457815484218967945768886576179686795076111078238543825857419659919011313587350687602971665369018571203143144663564875896666980352) (/.f64 y (/.f64 z x)) (if (<=.f64 (.f64 x y) -2113178124542661/4226356249085321970818718279332132852150778608288972177023685672213391220453798875795338047101257503157395159946057029431058780476021484298004311827703516615267093471992040673349852141411411528424193863265689507233184226342012493910707175190136291811916308647181903986688) (/.f64 (.f64 x y) z) (if (<=.f64 (.f64 x y) 0) (.f64 (/.f64 x z) y) (if (<=.f64 (.f64 x y) 1000000000000000044140518902895287779286391397382581274563006173283444396083023609274483667691850832398819698877547611031397112968428705874685599733334034192471780653571870045215197739635249206690814463183771858052833032509915549602573975010166573043840478561173504) (/.f64 (.f64 x y) z) (.f64 x (/.f64 y z))))))
(if (<=.f64 (.f64 x y) -100000000000000002309309130269787154892983822485169927543056457815484218967945768886576179686795076111078238543825857419659919011313587350687602971665369018571203143144663564875896666980352) (/.f64 y (/.f64 z x)) (if (<=.f64 (.f64 x y) -2113178124542661/4226356249085321970818718279332132852150778608288972177023685672213391220453798875795338047101257503157395159946057029431058780476021484298004311827703516615267093471992040673349852141411411528424193863265689507233184226342012493910707175190136291811916308647181903986688) (/.f64 (.f64 x y) z) (if (<=.f64 (.f64 x y) 0) (.f64 y (/.f64 x z)) (if (<=.f64 (.f64 x y) 1000000000000000044140518902895287779286391397382581274563006173283444396083023609274483667691850832398819698877547611031397112968428705874685599733334034192471780653571870045215197739635249206690814463183771858052833032509915549602573975010166573043840478561173504) (/.f64 (.f64 x y) z) (.f64 x (/.f64 y z))))))
(if (<=.f64 x -82000000000000001136865225235553630421049538117273441135281189888886846857715428738523765650543538308309554953097310042487306480521634853086696628339763887814813838940136543943103739961007911901222913445847180156169755862526075186976571574710954200005607424) (/.f64 y (/.f64 z x)) (if (<=.f64 x -1749999999999999921661430941935544226826721012260400131528474790327910137856) (.f64 x (/.f64 y z)) (if (<=.f64 x -1324549306229467/3579862989809370150552347991709354811340217396521331566180181212788883000669113019918160533228078546928669938652374965009299607594634172087555628255195572452564109288497401512783350157684872347030630001028968155934491319200842197951919848388309286912) (/.f64 y (/.f64 z x)) (.f64 x (/.f64 y z)))))
(if (<=.f64 x -1499999999999999945236390685459091970033264001486938019252028915607655084751471877964118143289800385729334237789081085453538167211669955817430107269856391217104382298247724640780593889011567505509949099749073744643989759807830955859580640018783021301760) (.f64 (/.f64 x z) y) (if (<=.f64 x -4499999999999999955364839849957273894912) (.f64 x (/.f64 y z)) (if (<=.f64 x -1324549306229467/3579862989809370150552347991709354811340217396521331566180181212788883000669113019918160533228078546928669938652374965009299607594634172087555628255195572452564109288497401512783350157684872347030630001028968155934491319200842197951919848388309286912) (.f64 (/.f64 x z) y) (.f64 x (/.f64 y z)))))
(if (<=.f64 x -1499999999999999945236390685459091970033264001486938019252028915607655084751471877964118143289800385729334237789081085453538167211669955817430107269856391217104382298247724640780593889011567505509949099749073744643989759807830955859580640018783021301760) (.f64 y (/.f64 x z)) (if (<=.f64 x -4499999999999999955364839849957273894912) (.f64 x (/.f64 y z)) (if (<=.f64 x -1324549306229467/3579862989809370150552347991709354811340217396521331566180181212788883000669113019918160533228078546928669938652374965009299607594634172087555628255195572452564109288497401512783350157684872347030630001028968155934491319200842197951919848388309286912) (.f64 y (/.f64 x z)) (.f64 x (/.f64 y z)))))
(*.f64 x (/.f64 y z))

Compiler

Compiled 130 to 60 computations (53.8% saved)

soundness13.0ms (0.1%)

Algorithm

3×	egg-herbie

Rules

3×	`*-commutative_binary64`
3×	`*-commutative_binary64`
3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
2×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	9	7
2	13	7
3	16	7
4	17	7
0	6	7
1	9	7
2	13	7
3	16	7
4	17	7
0	6	7
1	9	7
2	13	7
3	16	7
4	17	7

Stop Event

1×	saturated
1×	saturated
1×	saturated

Compiler

Compiled 48 to 30 computations (37.5% saved)

end38.0ms (0.2%)

Remove: (sort x y)
Compiler: Compiled 225 to 87 computations (61.3% saved)

Details

analyze157.0ms (0.7%)

sample852.0ms (3.9%)

preprocess16.0ms (0.1%)

simplify6.0ms (0%)

eval1.0ms (0%)

prune2.0ms (0%)

localize5.0ms (0%)

series10.0ms (0%)

rewrite40.0ms (0.2%)

simplify35.0ms (0.2%)

localize5.0ms (0%)

series5.0ms (0%)

rewrite41.0ms (0.2%)

simplify35.0ms (0.2%)

localize5.0ms (0%)

series7.0ms (0%)

rewrite42.0ms (0.2%)

simplify41.0ms (0.2%)

localize5.0ms (0%)

series6.0ms (0%)

rewrite40.0ms (0.2%)

simplify41.0ms (0.2%)

eval21.0ms (0.1%)

prune18.0ms (0.1%)

localize7.0ms (0%)

series12.0ms (0.1%)

rewrite46.0ms (0.2%)

simplify51.0ms (0.2%)

localize12.0ms (0.1%)

series19.3s (88.2%)

rewrite68.0ms (0.3%)

simplify77.0ms (0.4%)

localize7.0ms (0%)

series18.0ms (0.1%)

rewrite48.0ms (0.2%)

simplify57.0ms (0.3%)

localize5.0ms (0%)

series5.0ms (0%)

rewrite46.0ms (0.2%)

simplify45.0ms (0.2%)

eval86.0ms (0.4%)

prune89.0ms (0.4%)

localize7.0ms (0%)

series5.0ms (0%)

rewrite49.0ms (0.2%)

simplify47.0ms (0.2%)

eval8.0ms (0%)

prune10.0ms (0%)

regimes143.0ms (0.7%)

bsearch1.0ms (0%)

regimes32.0ms (0.1%)

bsearch55.0ms (0.3%)

regimes28.0ms (0.1%)

bsearch39.0ms (0.2%)

simplify6.0ms (0%)

soundness13.0ms (0.1%)

end38.0ms (0.2%)

Profiling