Details

analyze244.0ms (7.7%)

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)

sample1.1s (35.3%)

Results

980.0ms	8256×	body	256	valid
132.0ms	1121×	body	256	infinite

Bogosity

preprocess8.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

18×	`*-commutative`
12×	`associate-/l*`
12×	`associate-/r/`
2×	`swap-x-y`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	52
1	23	52
2	31	52
3	37	52
4	39	52
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 y (/.f64 z x))
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 y x) z)
(/.f64 y (/.f64 z x))
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))
(/.f64 (*.f64 z y) x)
(/.f64 z (/.f64 x y))
(*.f64 (/.f64 z x) y)
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 x z) y)
(/.f64 x (/.f64 y z))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))

Symmetry

(sort x y)

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify12.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative`
4×	`associate-/l*`
4×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	10	13
2	14	13
3	17	13
4	18	13

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 (0.1%)

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

Accurracy

100.0%

Counts

6 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	88.7%	(/.f64 (*.f64 x y) z)
▶	90.8%	(/.f64 x (/.f64 z y))
▶	88.1%	(*.f64 (/.f64 x z) y)
▶	90.7%	(*.f64 x (/.f64 y z))

Compiler

Compiled 32 to 20 computations (37.5% saved)

localize6.0ms (0.2%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	91.2%	(*.f64 x (/.f64 y z))

Compiler

Compiled 14 to 5 computations (64.3% saved)

series4.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite65.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1568×	`add-sqr-sqrt`
1556×	`*-un-lft-identity`
1444×	`add-cube-cbrt`
1420×	`add-cbrt-cube`
1406×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	145	13
2	1912	13

Stop Event

1×	node limit

Counts

1 → 21

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

simplify48.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1536×	`distribute-rgt-in`
1522×	`distribute-lft-in`
1466×	`associate-/r/`
906×	`associate-r`
862×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	761
1	141	761
2	548	761
3	3439	761

Stop Event

1×	node limit

Counts

57 → 28

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

localize5.0ms (0.2%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	88.5%	(*.f64 (/.f64 x z) y)

Compiler

Compiled 14 to 5 computations (64.3% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite55.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1570×	`add-sqr-sqrt`
1558×	`*-un-lft-identity`
1446×	`add-cube-cbrt`
1422×	`add-cbrt-cube`
1408×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	145	13
2	1914	13

Stop Event

1×	node limit

Counts

1 → 22

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

simplify48.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1670×	`distribute-rgt-in`
1658×	`distribute-lft-in`
990×	`associate-r`
922×	`associate-l`
610×	`associate-+l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	754
1	143	754
2	575	754
3	3915	754

Stop Event

1×	node limit

Counts

58 → 24

Calls

Call 1

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

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

localize6.0ms (0.2%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	91.2%	(/.f64 x (/.f64 z y))

Compiler

Compiled 14 to 5 computations (64.3% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite98.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1766×	`add-sqr-sqrt`
1754×	`*-un-lft-identity`
1636×	`add-cube-cbrt`
1612×	`add-cbrt-cube`
160×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	151	13
2	2155	13

Stop Event

1×	node limit

Counts

1 → 42

Calls

Call 1

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

Outputs

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

simplify56.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1482×	`associate-+r+`
1336×	`associate-+l+`
1168×	`associate-*r/`
772×	`associate-*l/`
636×	`associate-+l-`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	117	1266
1	293	1248
2	1090	1248
3	4879	1248

Stop Event

1×	node limit

Counts

78 → 55

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

localize5.0ms (0.2%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	89.2%	(/.f64 (*.f64 x y) z)

Compiler

Compiled 14 to 5 computations (64.3% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite99.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1630×	`add-sqr-sqrt`
1618×	`*-un-lft-identity`
1506×	`add-cube-cbrt`
1482×	`add-cbrt-cube`
152×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	145	13
2	1972	13

Stop Event

1×	node limit

Counts

1 → 42

Calls

Call 1

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

Outputs

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

simplify56.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1346×	`associate-+r+`
1220×	`associate-+l+`
1154×	`associate-*r/`
742×	`associate-*l/`
718×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	112	1240
1	279	1192
2	1024	1192
3	4850	1192

Stop Event

1×	node limit

Counts

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

eval20.0ms (0.6%)

Compiler: Compiled 1452 to 415 computations (71.4% saved)

prune18.0ms (0.6%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	153	4	157
Fresh	0	0	0
Picked	0	1	1
Done	1	2	3
Total	154	7	161

Accurracy

100.0%

Counts

161 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	88.7%	(/.f64 (*.f64 x y) z)
▶	89.0%	(/.f64 y (/.f64 z x))
✓	90.8%	(/.f64 x (/.f64 z y))
▶	87.5%	(/.f64 1 (/.f64 z (*.f64 x y)))
▶	88.5%	(*.f64 (/.f64 1 z) (/.f64 x (/.f64 1 y)))
▶	88.6%	(.f64 (/.f64 1 z) (.f64 x y))
✓	90.7%	(*.f64 x (/.f64 y z))

Compiler

Compiled 64 to 43 computations (32.8% saved)

localize8.0ms (0.2%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	89.0%	(.f64 (/.f64 1 z) (.f64 x y))

Compiler

Compiled 20 to 10 computations (50% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite55.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1734×	`add-sqr-sqrt`
1718×	`*-un-lft-identity`
1594×	`add-cube-cbrt`
1566×	`add-cbrt-cube`
174×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	179	13
2	2185	13

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

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

Outputs

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

simplify92.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

1158×	`associate-r`
1128×	`associate-l`
644×	`associate-+l+`
632×	`associate-+r+`
482×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	793
1	155	793
2	605	793
3	4563	793

Stop Event

1×	node limit

Counts

61 → 27

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

localize11.0ms (0.4%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	99.7%	(/.f64 x (/.f64 1 y))
✓	89.0%	(*.f64 (/.f64 1 z) (/.f64 x (/.f64 1 y)))

Compiler

Compiled 27 to 17 computations (37% saved)

series2.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

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

rewrite77.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1598×	`associate-/l*`
1058×	`*-commutative`
920×	`unswap-sqr`
642×	`swap-sqr`
544×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	32
1	213	20
2	2917	20

Stop Event

1×	node limit

Counts

2 → 168

Calls

Call 1

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

Outputs

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

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

simplify82.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1696×	`unswap-sqr`
896×	`distribute-rgt-in`
890×	`distribute-lft-in`
576×	`associate-r`
570×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	403	4120
1	1099	3844
2	4291	3844

Stop Event

1×	node limit

Counts

228 → 247

Calls

Call 1

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

localize8.0ms (0.2%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	98.3%	(/.f64 1 (/.f64 z (*.f64 x y)))
✓	89.4%	(/.f64 z (*.f64 x y))

Compiler

Compiled 22 to 8 computations (63.6% saved)

series3.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite124.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1954×	`add-sqr-sqrt`
1938×	`*-un-lft-identity`
1806×	`add-cube-cbrt`
1780×	`add-cbrt-cube`
184×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	186	26
2	2449	26

Stop Event

1×	node limit

Counts

2 → 87

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

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

simplify56.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1380×	`associate-/r*`
1242×	`associate-/l*`
900×	`unswap-sqr`
730×	`*-commutative`
438×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	208	2109
1	547	2109
2	2132	2109

Stop Event

1×	node limit

Counts

159 → 93

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

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

localize5.0ms (0.2%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	89.4%	(/.f64 y (/.f64 z x))

Compiler

Compiled 14 to 5 computations (64.3% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite82.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1766×	`add-sqr-sqrt`
1754×	`*-un-lft-identity`
1636×	`add-cube-cbrt`
1612×	`add-cbrt-cube`
160×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	151	13
2	2155	13

Stop Event

1×	node limit

Counts

1 → 42

Calls

Call 1

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

Outputs

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

simplify56.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1482×	`associate-+r+`
1336×	`associate-+l+`
1164×	`associate-*r/`
774×	`associate-*l/`
686×	`associate-+l-`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	116	1266
1	292	1248
2	1088	1248
3	4918	1248

Stop Event

1×	node limit

Counts

78 → 55

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

eval74.0ms (2.3%)

Compiler: Compiled 5027 to 1966 computations (60.9% saved)

prune75.0ms (2.4%)

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	422	0	422
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	422	7	429

Accurracy

100.0%

Counts

429 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	88.7%	(/.f64 (*.f64 x y) z)
✓	89.0%	(/.f64 y (/.f64 z x))
✓	90.8%	(/.f64 x (/.f64 z y))
✓	87.5%	(/.f64 1 (/.f64 z (*.f64 x y)))
✓	88.5%	(*.f64 (/.f64 1 z) (/.f64 x (/.f64 1 y)))
✓	88.6%	(.f64 (/.f64 1 z) (.f64 x y))
✓	90.7%	(*.f64 x (/.f64 y z))

Compiler

Compiled 64 to 43 computations (32.8% saved)

regimes88.0ms (2.8%)

Counts

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

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

Calls

5 calls:

21.0ms	(*.f64 x y)
20.0ms	(/.f64 (*.f64 x y) z)
16.0ms	z
16.0ms	x
14.0ms	y

Results

Accuracy	Segments	Branch
93.8%	2	`x`
93.0%	2	`y`
94.6%	2	`z`
99.3%	5	`(/.f64 (*.f64 x y) z)`
99.8%	5	`(*.f64 x y)`

Compiler

Compiled 77 to 43 computations (44.2% saved)

bsearch0.0ms (0%)

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	1.3414835879969442e+188	1.3554165352221149e+194
0.0ms	0.0	4.9849079369040745e-304
0.0ms	-6.270346023971246e-137	-3.5845388436130097e-153
0.0ms	-inf	-4.3002097153099005e+296

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes80.0ms (2.5%)

Counts

5 → 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)

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

Calls

5 calls:

20.0ms	(/.f64 (*.f64 x y) z)
18.0ms	(*.f64 x y)
14.0ms	z
13.0ms	x
13.0ms	y

Results

Accuracy	Segments	Branch
93.8%	2	`x`
93.0%	2	`y`
94.6%	2	`z`
99.3%	5	`(/.f64 (*.f64 x y) z)`
99.7%	5	`(*.f64 x y)`

Compiler

Compiled 54 to 31 computations (42.6% saved)

bsearch0.0ms (0%)

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	1.3414835879969442e+188	1.3554165352221149e+194
0.0ms	0.0	4.9849079369040745e-304
0.0ms	-1.308045481368866e-109	-3.938835152126232e-110
0.0ms	-inf	-4.3002097153099005e+296

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes32.0ms (1%)

Counts

4 → 2

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 z y))

Calls

3 calls:

11.0ms	x
11.0ms	y
8.0ms	z

Results

Accuracy	Segments	Branch
93.8%	2	`x`
93.0%	2	`y`
94.6%	2	`z`

Compiler

Compiled 35 to 20 computations (42.9% saved)

bsearch15.0ms (0.5%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.5547423141656326e-229	2.868497650893771e-228

Results

10.0ms	112×	body	256	valid
4.0ms	45×	body	256	infinite

Compiler

Compiled 140 to 94 computations (32.9% saved)

regimes29.0ms (0.9%)

Counts

3 → 2

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 z y))

Calls

3 calls:

11.0ms	x
10.0ms	y
7.0ms	z

Results

Accuracy	Segments	Branch
93.8%	2	`x`
93.0%	2	`y`
93.9%	2	`z`

Compiler

Compiled 30 to 18 computations (40% saved)

bsearch16.0ms (0.5%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	1.5547423141656326e-229	2.868497650893771e-228

Results

10.0ms	112×	body	256	valid
4.0ms	52×	body	256	infinite

Compiler

Compiled 140 to 94 computations (32.9% saved)

regimes29.0ms (0.9%)

Accuracy

Total -9.5b remaining (-238.3%)

Threshold costs -9.50b (-238.3%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

3 calls:

14.0ms	y
8.0ms	x
6.0ms	z

Results

Accuracy	Segments	Branch
93.8%	2	`x`
93.0%	2	`y`
93.6%	2	`z`

Compiler

Compiled 25 to 16 computations (36% saved)

bsearch14.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	-9.368775383004458e-207	-5.288260342883255e-210

Results

12.0ms	128×	body	256	valid
0.0ms	1×	body	256	infinite

Compiler

Compiled 158 to 106 computations (32.9% saved)

simplify9.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative`
2×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	374
1	52	374

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 x y) -inf.0) (.f64 x (/.f64 y z)) (if (<=.f64 (.f64 x y) -5237424972633827/104748499452676539840422070298483172870932545473378073263465323779076281484949585756264642954428933028828373892081922272294952209468332577706512882860032) (.f64 (/.f64 1 z) (.f64 x y)) (if (<=.f64 (.f64 x y) 0) (.f64 x (/.f64 y z)) (if (<=.f64 (.f64 x y) 200000000000000004618618260539574309785967644970339855086112915630968437935891537773152359373590152222156477087651714839319838022627174701375205943330738037142406286289327129751793333960704) (/.f64 (.f64 x y) z) (.f64 (/.f64 x z) y)))))
(if (<=.f64 (.f64 x y) -inf.0) (.f64 x (/.f64 y z)) (if (<=.f64 (.f64 x y) -4230758200257591/42307582002575910332922579714097346549017899709713998034217522897561970639123926132812109468141778230245837569601494931472384) (/.f64 (.f64 x y) z) (if (<=.f64 (.f64 x y) 0) (.f64 x (/.f64 y z)) (if (<=.f64 (.f64 x y) 200000000000000004618618260539574309785967644970339855086112915630968437935891537773152359373590152222156477087651714839319838022627174701375205943330738037142406286289327129751793333960704) (/.f64 (.f64 x y) z) (*.f64 (/.f64 x z) y)))))
(if (<=.f64 z 1877712864298967/3414023389634485388328884116849283992138116261025744978122883999623187065762627620618973286846235796860380114223837819108295066446909114921146038298793384983600720680711175453933096082386848780661230088261573940214625662995187948181075905216512) (/.f64 y (/.f64 z x)) (/.f64 x (/.f64 z y)))
(if (<=.f64 z 4916193681073659/6828046779268970776657768233698567984276232522051489956245767999246374131525255241237946573692471593720760228447675638216590132893818229842292076597586769967201441361422350907866192164773697561322460176523147880429251325990375896362151810433024) (*.f64 (/.f64 x z) y) (/.f64 x (/.f64 z y)))
(if (<=.f64 x -3701491575958035/185074578797901741880056797082722491652594329967104984657651428941017502866551504889831353286343393081484762513295539999743888383402206229143653783207080500031048652651411283677848015502881818392904162310804899782048803192832) (.f64 x (/.f64 y z)) (.f64 (/.f64 x z) y))
(*.f64 x (/.f64 y z))

Outputs
(if (<=.f64 (.f64 x y) -inf.0) (.f64 x (/.f64 y z)) (if (<=.f64 (.f64 x y) -5237424972633827/104748499452676539840422070298483172870932545473378073263465323779076281484949585756264642954428933028828373892081922272294952209468332577706512882860032) (.f64 (/.f64 1 z) (.f64 x y)) (if (<=.f64 (.f64 x y) 0) (.f64 x (/.f64 y z)) (if (<=.f64 (.f64 x y) 200000000000000004618618260539574309785967644970339855086112915630968437935891537773152359373590152222156477087651714839319838022627174701375205943330738037142406286289327129751793333960704) (/.f64 (.f64 x y) z) (.f64 (/.f64 x z) y)))))
(if (<=.f64 (.f64 x y) -inf.0) (.f64 x (/.f64 y z)) (if (<=.f64 (.f64 x y) -5237424972633827/104748499452676539840422070298483172870932545473378073263465323779076281484949585756264642954428933028828373892081922272294952209468332577706512882860032) (.f64 (.f64 x y) (/.f64 1 z)) (if (<=.f64 (.f64 x y) 0) (.f64 x (/.f64 y z)) (if (<=.f64 (.f64 x y) 200000000000000004618618260539574309785967644970339855086112915630968437935891537773152359373590152222156477087651714839319838022627174701375205943330738037142406286289327129751793333960704) (/.f64 (.f64 x y) z) (.f64 y (/.f64 x z))))))
(if (<=.f64 (.f64 x y) -inf.0) (.f64 x (/.f64 y z)) (if (<=.f64 (.f64 x y) -4230758200257591/42307582002575910332922579714097346549017899709713998034217522897561970639123926132812109468141778230245837569601494931472384) (/.f64 (.f64 x y) z) (if (<=.f64 (.f64 x y) 0) (.f64 x (/.f64 y z)) (if (<=.f64 (.f64 x y) 200000000000000004618618260539574309785967644970339855086112915630968437935891537773152359373590152222156477087651714839319838022627174701375205943330738037142406286289327129751793333960704) (/.f64 (.f64 x y) z) (*.f64 (/.f64 x z) y)))))
(if (<=.f64 (.f64 x y) -inf.0) (.f64 x (/.f64 y z)) (if (<=.f64 (.f64 x y) -4230758200257591/42307582002575910332922579714097346549017899709713998034217522897561970639123926132812109468141778230245837569601494931472384) (/.f64 (.f64 x y) z) (if (<=.f64 (.f64 x y) 0) (.f64 x (/.f64 y z)) (if (<=.f64 (.f64 x y) 200000000000000004618618260539574309785967644970339855086112915630968437935891537773152359373590152222156477087651714839319838022627174701375205943330738037142406286289327129751793333960704) (/.f64 (.f64 x y) z) (*.f64 y (/.f64 x z))))))
(if (<=.f64 z 1877712864298967/3414023389634485388328884116849283992138116261025744978122883999623187065762627620618973286846235796860380114223837819108295066446909114921146038298793384983600720680711175453933096082386848780661230088261573940214625662995187948181075905216512) (/.f64 y (/.f64 z x)) (/.f64 x (/.f64 z y)))
(if (<=.f64 z 4916193681073659/6828046779268970776657768233698567984276232522051489956245767999246374131525255241237946573692471593720760228447675638216590132893818229842292076597586769967201441361422350907866192164773697561322460176523147880429251325990375896362151810433024) (*.f64 (/.f64 x z) y) (/.f64 x (/.f64 z y)))
(if (<=.f64 z 4916193681073659/6828046779268970776657768233698567984276232522051489956245767999246374131525255241237946573692471593720760228447675638216590132893818229842292076597586769967201441361422350907866192164773697561322460176523147880429251325990375896362151810433024) (*.f64 y (/.f64 x z)) (/.f64 x (/.f64 z y)))
(if (<=.f64 x -3701491575958035/185074578797901741880056797082722491652594329967104984657651428941017502866551504889831353286343393081484762513295539999743888383402206229143653783207080500031048652651411283677848015502881818392904162310804899782048803192832) (.f64 x (/.f64 y z)) (.f64 (/.f64 x z) y))
(if (<=.f64 x -3701491575958035/185074578797901741880056797082722491652594329967104984657651428941017502866551504889831353286343393081484762513295539999743888383402206229143653783207080500031048652651411283677848015502881818392904162310804899782048803192832) (.f64 x (/.f64 y z)) (.f64 y (/.f64 x z)))
(*.f64 x (/.f64 y z))

Compiler

Compiled 165 to 80 computations (51.5% saved)

soundness20.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

6×	`*-commutative`
6×	`*-commutative`
4×	`associate-/l*`
4×	`associate-/r/`
4×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	10	13
2	14	13
3	17	13
4	18	13
0	7	13
1	10	13
2	14	13
3	17	13
4	18	13

Stop Event

1×	saturated
1×	saturated

Compiler

Compiled 26 to 14 computations (46.2% saved)

end56.0ms (1.8%)

Compiler: Compiled 258 to 97 computations (62.4% saved)

Details

analyze244.0ms (7.7%)

sample1.1s (35.3%)

preprocess8.0ms (0.2%)

simplify12.0ms (0.4%)

eval1.0ms (0%)

prune2.0ms (0.1%)

localize6.0ms (0.2%)

series4.0ms (0.1%)

rewrite65.0ms (2%)

simplify48.0ms (1.5%)

localize5.0ms (0.2%)

series1.0ms (0%)

rewrite55.0ms (1.7%)

simplify48.0ms (1.5%)

localize6.0ms (0.2%)

series1.0ms (0%)

rewrite98.0ms (3.1%)

simplify56.0ms (1.8%)

localize5.0ms (0.2%)

series1.0ms (0%)

rewrite99.0ms (3.1%)

simplify56.0ms (1.8%)

eval20.0ms (0.6%)

prune18.0ms (0.6%)

localize8.0ms (0.2%)

series1.0ms (0%)

rewrite55.0ms (1.7%)

simplify92.0ms (2.9%)

localize11.0ms (0.4%)

series2.0ms (0.1%)

rewrite77.0ms (2.4%)

simplify82.0ms (2.6%)

localize8.0ms (0.2%)

series3.0ms (0.1%)

rewrite124.0ms (3.9%)

simplify56.0ms (1.8%)

localize5.0ms (0.2%)

series1.0ms (0%)

rewrite82.0ms (2.6%)

simplify56.0ms (1.8%)

eval74.0ms (2.3%)

prune75.0ms (2.4%)

regimes88.0ms (2.8%)

bsearch0.0ms (0%)

regimes80.0ms (2.5%)

bsearch0.0ms (0%)

regimes32.0ms (1%)

bsearch15.0ms (0.5%)

regimes29.0ms (0.9%)

bsearch16.0ms (0.5%)

regimes29.0ms (0.9%)

bsearch14.0ms (0.4%)

simplify9.0ms (0.3%)

soundness20.0ms (0.6%)

end56.0ms (1.8%)

Profiling