Details

analyze346.0ms (11.1%)

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)

sample1.2s (39%)

Results

1.1s	8256×	body	256	valid
148.0ms	1082×	body	256	infinite

Bogosity

preprocess6.0ms (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)

simplify18.0ms (0.6%)

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

Error

0.04%

Counts

6 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	12.28%	(/.f64 (*.f64 x y) z)
▶	10.45%	(/.f64 x (/.f64 z y))
▶	9.22%	(*.f64 (/.f64 x z) y)
▶	10.54%	(*.f64 x (/.f64 y z))

Compiler

Compiled 32 to 20 computations (37.5% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	10.32%	(*.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	z	@	0	(*.f64 x (/.f64 y z))
0.0ms	x	@	-inf	(*.f64 x (/.f64 y z))

rewrite57.0ms (1.8%)

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))

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	8.96%	(*.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)

rewrite56.0ms (1.8%)

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)))))))

simplify49.0ms (1.6%)

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))

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	10.25%	(/.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	@	0	(/.f64 x (/.f64 z y))
0.0ms	x	@	inf	(/.f64 x (/.f64 z y))
0.0ms	x	@	-inf	(/.f64 x (/.f64 z y))
0.0ms	z	@	inf	(/.f64 x (/.f64 z y))

rewrite57.0ms (1.8%)

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))))))))

simplify61.0ms (1.9%)

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))

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	11.83%	(/.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	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)
0.0ms	y	@	inf	(/.f64 (*.f64 x y) z)

rewrite54.0ms (1.7%)

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))

eval21.0ms (0.7%)

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

prune20.0ms (0.6%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	155	2	157
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	155	6	161

Error

0.01%

Counts

161 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	12.28%	(/.f64 (*.f64 x y) z)
▶	9.16%	(/.f64 y (/.f64 z x))
✓	10.45%	(/.f64 x (/.f64 z y))
✓	9.22%	(*.f64 (/.f64 x z) y)
▶	12.4%	(.f64 (/.f64 1 z) (.f64 x y))
✓	10.54%	(*.f64 x (/.f64 y z))

Compiler

Compiled 50 to 32 computations (36% saved)

localize8.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	11.95%	(.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	@	inf	(.f64 (/.f64 1 z) (.f64 x y))
0.0ms	z	@	0	(.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))

rewrite56.0ms (1.8%)

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))))))))

simplify51.0ms (1.6%)

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))

localize22.0ms (0.7%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	8.94%	(/.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	x	@	-inf	(/.f64 y (/.f64 z x))
0.0ms	z	@	-inf	(/.f64 y (/.f64 z x))
0.0ms	z	@	inf	(/.f64 y (/.f64 z x))
0.0ms	y	@	-inf	(/.f64 y (/.f64 z x))

rewrite60.0ms (1.9%)

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))))))))

simplify60.0ms (1.9%)

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))

eval11.0ms (0.3%)

Compiler: Compiled 774 to 235 computations (69.6% saved)

prune11.0ms (0.3%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	81	1	82
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	81	7	88

Error

Counts

88 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	53.98%	(/.f64 (/.f64 y (sqrt.f64 (/.f64 z x))) (sqrt.f64 (/.f64 z x)))
✓	12.28%	(/.f64 (*.f64 x y) z)
✓	9.16%	(/.f64 y (/.f64 z x))
✓	10.45%	(/.f64 x (/.f64 z y))
✓	9.22%	(*.f64 (/.f64 x z) y)
✓	12.4%	(.f64 (/.f64 1 z) (.f64 x y))
✓	10.54%	(*.f64 x (/.f64 y z))

Compiler

Compiled 64 to 39 computations (39.1% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.13%	(/.f64 y (sqrt.f64 (/.f64 z x)))
✓	0.23%	(/.f64 (/.f64 y (sqrt.f64 (/.f64 z x))) (sqrt.f64 (/.f64 z x)))
✓	8.77%	(sqrt.f64 (/.f64 z x))

Compiler

Compiled 30 to 7 computations (76.7% saved)

series11.0ms (0.4%)

Counts

3 → 48

Calls

24 calls:

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

rewrite88.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1146×	`*-commutative`
1028×	`associate-/r/`
752×	`unswap-sqr`
730×	`associate-/l/`
720×	`swap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	41
1	212	41
2	2997	41

Stop Event

1×	node limit

Counts

3 → 266

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 z x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 z x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 z x)) (pow.f64 1 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 z x) 1/4) (pow.f64 (/.f64 z x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 z x) 1/4) (neg.f64 (neg.f64 (pow.f64 (/.f64 z x) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 z) (sqrt.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 z) (/.f64 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 z) (pow.f64 (/.f64 1 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (/.f64 z x))) (cbrt.f64 (/.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 z x)) (cbrt.f64 (sqrt.f64 (/.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 z x)) (neg.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (/.f64 z x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (/.f64 z x)))) (neg.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (/.f64 z x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 z x)) 2)) (sqrt.f64 (cbrt.f64 (/.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (/.f64 z x))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 z x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (/.f64 z x)))) (cbrt.f64 (neg.f64 (sqrt.f64 (/.f64 z x))))) (neg.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (/.f64 z x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (sqrt.f64 (/.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (/.f64 z x) 1/4)) (neg.f64 (pow.f64 (/.f64 z x) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cbrt.f64 (/.f64 z x))) (neg.f64 (cbrt.f64 (sqrt.f64 (/.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 x) 1/2) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 z x)) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 z x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 z x)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 z x)) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (/.f64 z x))))) (sqrt.f64 (neg.f64 (sqrt.f64 (/.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (/.f64 z x)))) (cbrt.f64 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simplify121.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

1758×	`distribute-lft-in`
1138×	`times-frac`
896×	`associate-r`
756×	`associate-l`
752×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	541	8130
1	1440	7608
2	6758	7608

Stop Event

1×	node limit

Counts

314 → 330

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

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

eval58.0ms (1.8%)

Compiler: Compiled 6297 to 1617 computations (74.3% saved)

prune66.0ms (2.1%)

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	391	0	391
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	391	7	398

Error

Counts

398 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	53.98%	(/.f64 (/.f64 y (sqrt.f64 (/.f64 z x))) (sqrt.f64 (/.f64 z x)))
✓	12.28%	(/.f64 (*.f64 x y) z)
✓	9.16%	(/.f64 y (/.f64 z x))
✓	10.45%	(/.f64 x (/.f64 z y))
✓	9.22%	(*.f64 (/.f64 x z) y)
✓	12.4%	(.f64 (/.f64 1 z) (.f64 x y))
✓	10.54%	(*.f64 x (/.f64 y z))

Compiler

Compiled 64 to 39 computations (39.1% saved)

regimes87.0ms (2.8%)

Counts

7 → 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 (/.f64 y (sqrt.f64 (/.f64 z x))) (sqrt.f64 (/.f64 z x)))

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

Calls

5 calls:

27.0ms	z
20.0ms	(*.f64 x y)
18.0ms	(/.f64 (*.f64 x y) z)
10.0ms	x
9.0ms	y

Results

Error	Segments	Branch
6.79%	2	`x`
7.13%	2	`y`
4.9%	6	`z`
0.59%	5	`(/.f64 (*.f64 x y) z)`
0.27%	5	`(*.f64 x y)`

Compiler

Compiled 72 to 37 computations (48.6% saved)

bsearch1.0ms (0%)

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	1.4079619227113413e+96	1.4535780698498462e+96
0.0ms	1.397995019853725e-164	3.693504860109971e-164
0.0ms	-1.7992375076990375e-207	-7.827786360478964e-216
0.0ms	-7.1064906049360144e+289	-4.3126161598223404e+275

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes31.0ms (1%)

Counts

4 → 3

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

Calls

3 calls:

15.0ms	z
8.0ms	x
7.0ms	y

Results

Error	Segments	Branch
6.79%	2	`x`
7.13%	2	`y`
6.79%	3	`z`

Compiler

Compiled 35 to 20 computations (42.9% saved)

bsearch23.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	1.3399653158717698e-307	5.743420952875357e-293
11.0ms	-3.5995582636420578e+115	-1.1438350802176255e+114

Results

16.0ms	192×	body	256	valid
4.0ms	51×	body	256	infinite

Compiler

Compiled 230 to 154 computations (33% saved)

regimes27.0ms (0.9%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

3 calls:

10.0ms	z
10.0ms	y
6.0ms	x

Results

Error	Segments	Branch
7.02%	2	`x`
5.86%	3	`y`
6.91%	3	`z`

Compiler

Compiled 30 to 18 computations (40% saved)

bsearch26.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	8.975527493229815e+148	4.346160279539438e+150
13.0ms	-1.7982799095451136e-176	-6.469788704757414e-182

Results

21.0ms	256×	body	256	valid
2.0ms	22×	body	256	infinite

Compiler

Compiled 302 to 202 computations (33.1% saved)

regimes24.0ms (0.8%)

Accuracy

Total -7.9b remaining (-171.7%)

Threshold costs -7.9b (-171.7%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

3 calls:

9.0ms	x
9.0ms	z
6.0ms	y

Results

Error	Segments	Branch
7.32%	2	`x`
7.57%	2	`y`
7.21%	3	`z`

Compiler

Compiled 25 to 16 computations (36% saved)

bsearch29.0ms (0.9%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	2.486251069421257e-270	9.439608569996055e-266
11.0ms	-3.5995582636420578e+115	-1.1438350802176255e+114

Results

20.0ms	240×	body	256	valid
5.0ms	65×	body	256	infinite

Compiler

Compiled 284 to 190 computations (33.1% saved)

simplify12.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

6×	`if-if-or-not`
6×	`*-commutative`
4×	`not-or`
2×	`not-not`
2×	`if-not`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	48	297
1	59	291
2	62	291
3	65	287
4	66	287
5	67	287

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 x y) -50000000000000003086391676393357844349718615548150562915502642526940668826983577947126958547223239834715522922574563065517295392716978085869105767683493614277129551054580941093067371516906876813636692980123138622497423128945174015407700562118352100956066287915925652518044475460566300753920) (.f64 (/.f64 x z) y) (if (<=.f64 (.f64 x y) -5783580587434429/5783580587434429433751774908835077864143572811472030770551607154406796964579734527807229790198231033796398828540485624991996511981318944660739180725221265625970270395356602614932750484465056824778255072212653118189025099776) (/.f64 (.f64 x y) z) (if (<=.f64 (.f64 x y) 5186894461101241/259344723055062059907025491480697571938277889515152306249728583105665800713306759149981690559193987143012367913206299323899696942213235956742929677132122730441323862712594345230336) (.f64 x (/.f64 y z)) (if (<=.f64 (.f64 x y) 1449999999999999888514194221799629498373021898096322775073475088082679935266916094947746207760384) (/.f64 (.f64 x y) z) (*.f64 x (/.f64 y z))))))
(if (<=.f64 z -1750000000000000027228978226566975292469352444611857508397098515753959117038322480713724432351333033433360991518720) (*.f64 (/.f64 x z) y) (if (<=.f64 z 4712544691453469/23562723457267347065789548996709904988477547858392600710143027597506337283178622239730365539602600561360255566462503270175052892578043215543382498428777152430442793326983968886135484527574528048424954488695685876133154086235991294800548739224807307629474678136450095282906365419648413375507379824836506306113175552) (/.f64 x (/.f64 z y)) (/.f64 y (/.f64 z x))))
(if (<=.f64 y -912488123524439/1140610154405548804660292901425072831223307126812139982644798129474818791802169346626478202829342849944660577393398601827672176180343859499563165329930553547062998668590066237520718548061650944) (.f64 x (/.f64 y z)) (if (<=.f64 y 409999999999999957617755026657996281042098331072215323369412939515573182632723757939916104746249314310632935805362798094412706958151993775882105782272) (.f64 (/.f64 x z) y) (/.f64 x (/.f64 z y))))
(if (<=.f64 z -19200000000000000298740789685763386065949466820884379520699595144272008598363309502687719486368910995383160592662528) (.f64 (/.f64 x z) y) (if (<=.f64 z 7806838769508361/37175422711944576569951562453747514003281505041484861476394296482898516429010109338629207862403908764744968094754824326261364631138622642694770764527559865644574271011186496848567160245857443421755979894558785930151693717671947002203927473508716452075301127636353597820594133720367104) (.f64 x (/.f64 y z)) (*.f64 (/.f64 x z) y)))
(*.f64 x (/.f64 y z))

Outputs
(if (<=.f64 (.f64 x y) -50000000000000003086391676393357844349718615548150562915502642526940668826983577947126958547223239834715522922574563065517295392716978085869105767683493614277129551054580941093067371516906876813636692980123138622497423128945174015407700562118352100956066287915925652518044475460566300753920) (.f64 (/.f64 x z) y) (if (<=.f64 (.f64 x y) -5783580587434429/5783580587434429433751774908835077864143572811472030770551607154406796964579734527807229790198231033796398828540485624991996511981318944660739180725221265625970270395356602614932750484465056824778255072212653118189025099776) (/.f64 (.f64 x y) z) (if (<=.f64 (.f64 x y) 5186894461101241/259344723055062059907025491480697571938277889515152306249728583105665800713306759149981690559193987143012367913206299323899696942213235956742929677132122730441323862712594345230336) (.f64 x (/.f64 y z)) (if (<=.f64 (.f64 x y) 1449999999999999888514194221799629498373021898096322775073475088082679935266916094947746207760384) (/.f64 (.f64 x y) z) (*.f64 x (/.f64 y z))))))
(if (<=.f64 (.f64 x y) -50000000000000003086391676393357844349718615548150562915502642526940668826983577947126958547223239834715522922574563065517295392716978085869105767683493614277129551054580941093067371516906876813636692980123138622497423128945174015407700562118352100956066287915925652518044475460566300753920) (.f64 y (/.f64 x z)) (if (<=.f64 (.f64 x y) -5783580587434429/5783580587434429433751774908835077864143572811472030770551607154406796964579734527807229790198231033796398828540485624991996511981318944660739180725221265625970270395356602614932750484465056824778255072212653118189025099776) (/.f64 (.f64 x y) z) (if (or (<=.f64 (.f64 x y) 5186894461101241/259344723055062059907025491480697571938277889515152306249728583105665800713306759149981690559193987143012367913206299323899696942213235956742929677132122730441323862712594345230336) (not (<=.f64 (.f64 x y) 1449999999999999888514194221799629498373021898096322775073475088082679935266916094947746207760384))) (.f64 x (/.f64 y z)) (/.f64 (.f64 x y) z))))
(if (<=.f64 (.f64 x y) -50000000000000003086391676393357844349718615548150562915502642526940668826983577947126958547223239834715522922574563065517295392716978085869105767683493614277129551054580941093067371516906876813636692980123138622497423128945174015407700562118352100956066287915925652518044475460566300753920) (.f64 y (/.f64 x z)) (if (or (<=.f64 (.f64 x y) -5783580587434429/5783580587434429433751774908835077864143572811472030770551607154406796964579734527807229790198231033796398828540485624991996511981318944660739180725221265625970270395356602614932750484465056824778255072212653118189025099776) (not (or (<=.f64 (.f64 x y) 5186894461101241/259344723055062059907025491480697571938277889515152306249728583105665800713306759149981690559193987143012367913206299323899696942213235956742929677132122730441323862712594345230336) (not (<=.f64 (.f64 x y) 1449999999999999888514194221799629498373021898096322775073475088082679935266916094947746207760384))))) (/.f64 (.f64 x y) z) (*.f64 x (/.f64 y z))))
(if (<=.f64 (.f64 x y) -50000000000000003086391676393357844349718615548150562915502642526940668826983577947126958547223239834715522922574563065517295392716978085869105767683493614277129551054580941093067371516906876813636692980123138622497423128945174015407700562118352100956066287915925652518044475460566300753920) (.f64 y (/.f64 x z)) (if (or (<=.f64 (.f64 x y) -5783580587434429/5783580587434429433751774908835077864143572811472030770551607154406796964579734527807229790198231033796398828540485624991996511981318944660739180725221265625970270395356602614932750484465056824778255072212653118189025099776) (and (not (<=.f64 (.f64 x y) 5186894461101241/259344723055062059907025491480697571938277889515152306249728583105665800713306759149981690559193987143012367913206299323899696942213235956742929677132122730441323862712594345230336)) (<=.f64 (.f64 x y) 1449999999999999888514194221799629498373021898096322775073475088082679935266916094947746207760384))) (/.f64 (.f64 x y) z) (*.f64 x (/.f64 y z))))
(if (<=.f64 z -1750000000000000027228978226566975292469352444611857508397098515753959117038322480713724432351333033433360991518720) (*.f64 (/.f64 x z) y) (if (<=.f64 z 4712544691453469/23562723457267347065789548996709904988477547858392600710143027597506337283178622239730365539602600561360255566462503270175052892578043215543382498428777152430442793326983968886135484527574528048424954488695685876133154086235991294800548739224807307629474678136450095282906365419648413375507379824836506306113175552) (/.f64 x (/.f64 z y)) (/.f64 y (/.f64 z x))))
(if (<=.f64 z -1750000000000000027228978226566975292469352444611857508397098515753959117038322480713724432351333033433360991518720) (*.f64 y (/.f64 x z)) (if (<=.f64 z 4712544691453469/23562723457267347065789548996709904988477547858392600710143027597506337283178622239730365539602600561360255566462503270175052892578043215543382498428777152430442793326983968886135484527574528048424954488695685876133154086235991294800548739224807307629474678136450095282906365419648413375507379824836506306113175552) (/.f64 x (/.f64 z y)) (/.f64 y (/.f64 z x))))
(if (<=.f64 y -912488123524439/1140610154405548804660292901425072831223307126812139982644798129474818791802169346626478202829342849944660577393398601827672176180343859499563165329930553547062998668590066237520718548061650944) (.f64 x (/.f64 y z)) (if (<=.f64 y 409999999999999957617755026657996281042098331072215323369412939515573182632723757939916104746249314310632935805362798094412706958151993775882105782272) (.f64 (/.f64 x z) y) (/.f64 x (/.f64 z y))))
(if (<=.f64 y -912488123524439/1140610154405548804660292901425072831223307126812139982644798129474818791802169346626478202829342849944660577393398601827672176180343859499563165329930553547062998668590066237520718548061650944) (.f64 x (/.f64 y z)) (if (<=.f64 y 409999999999999957617755026657996281042098331072215323369412939515573182632723757939916104746249314310632935805362798094412706958151993775882105782272) (.f64 y (/.f64 x z)) (/.f64 x (/.f64 z y))))
(if (<=.f64 z -19200000000000000298740789685763386065949466820884379520699595144272008598363309502687719486368910995383160592662528) (.f64 (/.f64 x z) y) (if (<=.f64 z 7806838769508361/37175422711944576569951562453747514003281505041484861476394296482898516429010109338629207862403908764744968094754824326261364631138622642694770764527559865644574271011186496848567160245857443421755979894558785930151693717671947002203927473508716452075301127636353597820594133720367104) (.f64 x (/.f64 y z)) (*.f64 (/.f64 x z) y)))
(if (or (<=.f64 z -19200000000000000298740789685763386065949466820884379520699595144272008598363309502687719486368910995383160592662528) (not (<=.f64 z 7806838769508361/37175422711944576569951562453747514003281505041484861476394296482898516429010109338629207862403908764744968094754824326261364631138622642694770764527559865644574271011186496848567160245857443421755979894558785930151693717671947002203927473508716452075301127636353597820594133720367104))) (.f64 y (/.f64 x z)) (.f64 x (/.f64 y z)))
(*.f64 x (/.f64 y z))

Compiler

Compiled 125 to 71 computations (43.2% saved)

soundness18.0ms (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)

end119.0ms (3.8%)

Compiler: Compiled 199 to 89 computations (55.3% saved)

Details

analyze346.0ms (11.1%)

sample1.2s (39%)

preprocess6.0ms (0.2%)

simplify18.0ms (0.6%)

eval1.0ms (0%)

prune2.0ms (0.1%)

localize6.0ms (0.2%)

series4.0ms (0.1%)

rewrite57.0ms (1.8%)

simplify48.0ms (1.5%)

localize6.0ms (0.2%)

series1.0ms (0%)

rewrite56.0ms (1.8%)

simplify49.0ms (1.6%)

localize7.0ms (0.2%)

series1.0ms (0%)

rewrite57.0ms (1.8%)

simplify61.0ms (1.9%)

localize6.0ms (0.2%)

series1.0ms (0%)

rewrite54.0ms (1.7%)

simplify56.0ms (1.8%)

eval21.0ms (0.7%)

prune20.0ms (0.6%)

localize8.0ms (0.3%)

series1.0ms (0%)

rewrite56.0ms (1.8%)

simplify51.0ms (1.6%)

localize22.0ms (0.7%)

series1.0ms (0%)

rewrite60.0ms (1.9%)

simplify60.0ms (1.9%)

eval11.0ms (0.3%)

prune11.0ms (0.3%)

localize8.0ms (0.3%)

series11.0ms (0.4%)

rewrite88.0ms (2.8%)

simplify121.0ms (3.9%)

eval58.0ms (1.8%)

prune66.0ms (2.1%)

regimes87.0ms (2.8%)

bsearch1.0ms (0%)

regimes31.0ms (1%)

bsearch23.0ms (0.7%)

regimes27.0ms (0.9%)

bsearch26.0ms (0.8%)

regimes24.0ms (0.8%)

bsearch29.0ms (0.9%)

simplify12.0ms (0.4%)

soundness18.0ms (0.6%)

end119.0ms (3.8%)

Profiling