Details

analyze207.0ms (6.8%)

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)

sample1.0s (34%)

Results

931.0ms	8256×	body	256	valid
95.0ms	1092×	body	256	infinite

Bogosity

preprocess7.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	52
1	23	52
2	31	52
3	37	52
4	39	52
0	3	3
1	3	3

Stop Event

1×	unsound
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
0
2

Call 2

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

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

Symmetry

(sort x y)

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify12.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 5

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune2.0ms (0.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

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

Error

0.0b

Counts

6 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	5.1b	(/.f64 (*.f64 x y) z)
▶	6.0b	(/.f64 x (/.f64 z y))
▶	9.4b	(*.f64 (/.f64 x z) y)
▶	6.6b	(*.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
✓	6.3b	(*.f64 x (/.f64 y z))

Compiler

Compiled 14 to 5 computations (64.3% saved)

series5.0ms (0.2%)

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

rewrite53.0ms (1.7%)

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))))))))

simplify46.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

57 → 28

Calls

Call 1

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

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

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	9.1b	(*.f64 (/.f64 x z) y)

Compiler

Compiled 14 to 5 computations (64.3% saved)

series3.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite57.0ms (1.9%)

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)))))))

simplify47.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

58 → 24

Calls

Call 1

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

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

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.8b	(/.f64 x (/.f64 z y))

Compiler

Compiled 14 to 5 computations (64.3% saved)

series4.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(/.f64 x (/.f64 z y))
1.0ms	x	@	0	(/.f64 x (/.f64 z y))
0.0ms	x	@	-inf	(/.f64 x (/.f64 z y))
0.0ms	z	@	-inf	(/.f64 x (/.f64 z y))
0.0ms	y	@	-inf	(/.f64 x (/.f64 z y))

rewrite55.0ms (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))))))))

simplify58.0ms (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))

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.0b	(/.f64 (*.f64 x y) z)

Compiler

Compiled 14 to 5 computations (64.3% saved)

series2.0ms (0.1%)

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	y	@	-inf	(/.f64 (*.f64 x y) z)
0.0ms	x	@	-inf	(/.f64 (*.f64 x y) z)
0.0ms	z	@	-inf	(/.f64 (*.f64 x y) z)

rewrite57.0ms (1.9%)

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)))))))

simplify51.0ms (1.7%)

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))

eval31.0ms (1%)

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

prune18.0ms (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

0.0b

Counts

161 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	5.1b	(/.f64 (*.f64 x y) z)
▶	9.2b	(/.f64 y (/.f64 z x))
✓	6.0b	(/.f64 x (/.f64 z y))
✓	9.4b	(*.f64 (/.f64 x z) y)
✓	6.6b	(*.f64 x (/.f64 y z))
▶	6.6b	(.f64 x (.f64 y (/.f64 1 z)))

Compiler

Compiled 50 to 32 computations (36% saved)

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 y (/.f64 1 z))
✓	6.3b	(.f64 x (.f64 y (/.f64 1 z)))

Compiler

Compiled 22 to 13 computations (40.9% saved)

series5.0ms (0.2%)

Counts

2 → 60

Calls

15 calls:

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

rewrite54.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1718×	`add-sqr-sqrt`
1702×	`*-un-lft-identity`
1578×	`add-cube-cbrt`
1550×	`add-cbrt-cube`
176×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	181	20
2	2197	20

Stop Event

1×	node limit

Counts

2 → 39

Calls

Call 1

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

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

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

simplify50.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1424×	`associate-+r+`
1380×	`associate-+l+`
596×	`unswap-sqr`
572×	`associate-*r/`
392×	`associate-+r-`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	95	1005
1	203	1005
2	788	1005
3	4431	1005

Stop Event

1×	node limit

Counts

99 → 42

Calls

Call 1

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

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	8.9b	(/.f64 y (/.f64 z x))

Compiler

Compiled 14 to 5 computations (64.3% saved)

series2.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite53.0ms (1.7%)

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))))))))

simplify52.0ms (1.7%)

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))

eval13.0ms (0.4%)

Compiler: Compiled 888 to 301 computations (66.1% saved)

prune15.0ms (0.5%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	96	1	97
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	96	7	103

Error

Counts

103 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	34.3b	(/.f64 (/.f64 y (sqrt.f64 (/.f64 z x))) (sqrt.f64 (/.f64 z x)))
✓	5.1b	(/.f64 (*.f64 x y) z)
✓	9.2b	(/.f64 y (/.f64 z x))
✓	6.0b	(/.f64 x (/.f64 z y))
✓	9.4b	(*.f64 (/.f64 x z) y)
✓	6.6b	(*.f64 x (/.f64 y z))
✓	6.6b	(.f64 x (.f64 y (/.f64 1 z)))

Compiler

Compiled 64 to 39 computations (39.1% saved)

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 y (sqrt.f64 (/.f64 z x)))
✓	0.1b	(/.f64 (/.f64 y (sqrt.f64 (/.f64 z x))) (sqrt.f64 (/.f64 z x)))
✓	9.4b	(sqrt.f64 (/.f64 z x))

Compiler

Compiled 30 to 7 computations (76.7% saved)

series15.0ms (0.5%)

Counts

3 → 48

Calls

24 calls:

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

rewrite84.0ms (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

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

simplify112.0ms (3.6%)

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

eval99.0ms (3.2%)

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

prune67.0ms (2.2%)

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
✓	34.3b	(/.f64 (/.f64 y (sqrt.f64 (/.f64 z x))) (sqrt.f64 (/.f64 z x)))
✓	5.1b	(/.f64 (*.f64 x y) z)
✓	9.2b	(/.f64 y (/.f64 z x))
✓	6.0b	(/.f64 x (/.f64 z y))
✓	9.4b	(*.f64 (/.f64 x z) y)
✓	6.6b	(*.f64 x (/.f64 y z))
✓	6.6b	(.f64 x (.f64 y (/.f64 1 z)))

Compiler

Compiled 64 to 39 computations (39.1% saved)

regimes198.0ms (6.5%)

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

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

Calls

5 calls:

93.0ms	x
42.0ms	y
20.0ms	(*.f64 x y)
14.0ms	(/.f64 (*.f64 x y) z)
5.0ms	z

Results

Error	Segments	Branch
2.6b	4	`x`
3.8b	2	`y`
5.1b	1	`z`
1.2b	4	`(/.f64 (*.f64 x y) z)`
0.2b	5	`(*.f64 x y)`

Compiler

Compiled 72 to 38 computations (47.2% saved)

bsearch1.0ms (0%)

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	8.295286608026165e+126	1.9108428356316393e+139
0.0ms	4.6545045117e-314	7.396867068243828e-304
0.0ms	-1.2494206752548203e-288	-7.130802295389097e-296
0.0ms	-1.3859354991678254e+305	-1.7196538381422578e+299

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes37.0ms (1.2%)

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

Calls

3 calls:

28.0ms	y
5.0ms	z
4.0ms	x

Results

Error	Segments	Branch
6.0b	1	`x`
4.6b	3	`y`
6.0b	1	`z`

Compiler

Compiled 35 to 20 computations (42.9% saved)

bsearch63.0ms (2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
45.0ms	5.766242718534539e+161	3.4013163642329404e+162
17.0ms	1.2401434487670195e-179	5.885431034590604e-176

Results

58.0ms	224×	body	256	valid
2.0ms	22×	body	256	infinite

Compiler

Compiled 266 to 178 computations (33.1% saved)

regimes20.0ms (0.6%)

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

Calls

3 calls:

11.0ms	y
4.0ms	x
3.0ms	z

Results

Error	Segments	Branch
6.0b	1	`x`
4.6b	3	`y`
6.0b	1	`z`

Compiler

Compiled 30 to 18 computations (40% saved)

bsearch22.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
10.0ms	5.766242718534539e+161	3.4013163642329404e+162
12.0ms	9.65924407245336e-169	7.572584985835655e-168

Results

18.0ms	192×	body	256	valid
2.0ms	19×	body	256	infinite

Compiler

Compiled 230 to 154 computations (33% saved)

regimes64.0ms (2.1%)

Accuracy

Total -11.6b remaining (-268.6%)

Threshold costs -11.6b (-268.6%)

Counts

2 → 5

Calls

Call 1

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

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

Calls

3 calls:

42.0ms	z
11.0ms	y
9.0ms	x

Results

Error	Segments	Branch
5.4b	3	`x`
5.0b	3	`y`
4.3b	5	`z`

Compiler

Compiled 25 to 16 computations (36% saved)

bsearch98.0ms (3.2%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
49.0ms	8.702955623576655e+109	3.956515309752779e+110
12.0ms	2.0205232917307201e-112	6.222957225055987e-111
16.0ms	-5.1428343334872855e-275	-1.0318421740389795e-275
19.0ms	-2.0411235616670426e-136	-1.2872938340350153e-149

Results

42.0ms	464×	body	256	valid
11.0ms	117×	body	256	infinite

Compiler

Compiled 536 to 358 computations (33.2% saved)

simplify15.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

14×	`if-if-or-not`
12×	`not-or`
8×	`not-not`
8×	`if-not`
6×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	54	329
1	71	317
2	77	311
3	86	303
4	91	303
5	96	303
6	97	303
7	98	303

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 x y) -99999999999999993925355250553646218600402872201173249531907715713232045630132339028433092574405077484368561180561621725787171937426360305302357988408668827749873014416820110410677102531624409058437198025485515990766396825508218326595491122696079498053460349186625724064076043808459598620749043481381437440) (/.f64 y (/.f64 z x)) (if (<=.f64 (.f64 x y) -5486124068793689/5486124068793688683255936251187209270074392635932332070112001988456197381759672947165175699536362793613284725337872111744958183862744647903224103718245670299614498700710006264535590197791934024641512541262359795191593953928908168990292758500391456212260452596575509589842140073806143686060649302051520512) (/.f64 (.f64 x y) z) (if (<=.f64 (.f64 x y) 10120112665/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (.f64 x (/.f64 y z)) (if (<=.f64 (.f64 x y) 9999999999999999549291066784979473595300225087383524118479625982517885450291174622154390152298057300868772377386949310916067328) (/.f64 (.f64 x y) z) (.f64 x (/.f64 y z))))))
(if (<=.f64 y 245231183197193/285152538601387201165073225356268207805826781703034995661199532368704697950542336656619550707335712486165144348349650456918044045085964874890791332482638386765749667147516559380179637015412736) (/.f64 x (/.f64 z y)) (if (<=.f64 y 739999999999999958004793476610604181341833072120089180536242356393950608672671010165188893442691858845817796841471440706933541884892877814638021410808153228967936) (/.f64 y (/.f64 z x)) (/.f64 x (/.f64 z y))))
(if (<=.f64 y 7223476702308033/4249103942534136789516705652419749018636744941816255385595553105603228478886817941913300018121834285351114635889972008122772634701221657915276159830132698815550650166683145752253825024) (/.f64 x (/.f64 z y)) (if (<=.f64 y 749999999999999953387454728587298099837893869579225989031793986942014394161773751869641622723032295701174984716420659752386895320431487001822242440526163550928896) (*.f64 (/.f64 x z) y) (/.f64 x (/.f64 z y))))
(if (<=.f64 z -6658392415923931/1799565517817278553124215403074392743547878847320766653240302229044735032268595148127616274441556342859968364253408358049283306422197719875603406072346065542053888) (.f64 x (/.f64 y z)) (if (<=.f64 z -5301450822201599/311850048364799970571308236412006025948039259443040240859773006630814358104525635278899682108224328295209757319405077381870693435686499009490495593482004909425000886398607136955865268975681716747289586991334988123957939133612635998263883635695006899610487641699336881506618514879741251551232) (.f64 (/.f64 x z) y) (if (<=.f64 z 3303376002761127/10830740992659433045228180406808920716548582325686783496759685861775864483615725089999900023844295226942934417817982702456930304) (.f64 x (/.f64 y z)) (if (<=.f64 z 179999999999999984217607690792114027531587407770687660963029359974670982070394038534385755893135755381946974208) (.f64 (/.f64 x z) y) (*.f64 x (/.f64 y z))))))
(*.f64 x (/.f64 y z))

Outputs
(if (<=.f64 (.f64 x y) -99999999999999993925355250553646218600402872201173249531907715713232045630132339028433092574405077484368561180561621725787171937426360305302357988408668827749873014416820110410677102531624409058437198025485515990766396825508218326595491122696079498053460349186625724064076043808459598620749043481381437440) (/.f64 y (/.f64 z x)) (if (<=.f64 (.f64 x y) -5486124068793689/5486124068793688683255936251187209270074392635932332070112001988456197381759672947165175699536362793613284725337872111744958183862744647903224103718245670299614498700710006264535590197791934024641512541262359795191593953928908168990292758500391456212260452596575509589842140073806143686060649302051520512) (/.f64 (.f64 x y) z) (if (<=.f64 (.f64 x y) 10120112665/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (.f64 x (/.f64 y z)) (if (<=.f64 (.f64 x y) 9999999999999999549291066784979473595300225087383524118479625982517885450291174622154390152298057300868772377386949310916067328) (/.f64 (.f64 x y) z) (.f64 x (/.f64 y z))))))
(if (<=.f64 (.f64 x y) -99999999999999993925355250553646218600402872201173249531907715713232045630132339028433092574405077484368561180561621725787171937426360305302357988408668827749873014416820110410677102531624409058437198025485515990766396825508218326595491122696079498053460349186625724064076043808459598620749043481381437440) (/.f64 y (/.f64 z x)) (if (<=.f64 (.f64 x y) -5486124068793689/5486124068793688683255936251187209270074392635932332070112001988456197381759672947165175699536362793613284725337872111744958183862744647903224103718245670299614498700710006264535590197791934024641512541262359795191593953928908168990292758500391456212260452596575509589842140073806143686060649302051520512) (/.f64 (.f64 x y) z) (if (or (<=.f64 (.f64 x y) 10120112665/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (not (<=.f64 (.f64 x y) 9999999999999999549291066784979473595300225087383524118479625982517885450291174622154390152298057300868772377386949310916067328))) (.f64 x (/.f64 y z)) (/.f64 (*.f64 x y) z))))
(if (<=.f64 (.f64 x y) -99999999999999993925355250553646218600402872201173249531907715713232045630132339028433092574405077484368561180561621725787171937426360305302357988408668827749873014416820110410677102531624409058437198025485515990766396825508218326595491122696079498053460349186625724064076043808459598620749043481381437440) (/.f64 y (/.f64 z x)) (if (or (<=.f64 (.f64 x y) -5486124068793689/5486124068793688683255936251187209270074392635932332070112001988456197381759672947165175699536362793613284725337872111744958183862744647903224103718245670299614498700710006264535590197791934024641512541262359795191593953928908168990292758500391456212260452596575509589842140073806143686060649302051520512) (not (or (<=.f64 (.f64 x y) 10120112665/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (not (<=.f64 (.f64 x y) 9999999999999999549291066784979473595300225087383524118479625982517885450291174622154390152298057300868772377386949310916067328))))) (/.f64 (.f64 x y) z) (.f64 x (/.f64 y z))))
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(*.f64 x (/.f64 y z))

Compiler

Compiled 126 to 76 computations (39.7% saved)

soundness13.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Compiler

Compiled 13 to 7 computations (46.2% saved)

end106.0ms (3.5%)

Compiler: Compiled 200 to 98 computations (51% saved)

Details

analyze207.0ms (6.8%)

sample1.0s (34%)

preprocess7.0ms (0.2%)

simplify12.0ms (0.4%)

eval1.0ms (0%)

prune2.0ms (0.1%)

localize6.0ms (0.2%)

series5.0ms (0.2%)

rewrite53.0ms (1.7%)

simplify46.0ms (1.5%)

localize5.0ms (0.2%)

series3.0ms (0.1%)

rewrite57.0ms (1.9%)

simplify47.0ms (1.5%)

localize5.0ms (0.2%)

series4.0ms (0.1%)

rewrite55.0ms (1.8%)

simplify58.0ms (1.9%)

localize5.0ms (0.2%)

series2.0ms (0.1%)

rewrite57.0ms (1.9%)

simplify51.0ms (1.7%)

eval31.0ms (1%)

prune18.0ms (0.6%)

localize8.0ms (0.3%)

series5.0ms (0.2%)

rewrite54.0ms (1.8%)

simplify50.0ms (1.7%)

localize5.0ms (0.2%)

series2.0ms (0.1%)

rewrite53.0ms (1.7%)

simplify52.0ms (1.7%)

eval13.0ms (0.4%)

prune15.0ms (0.5%)

localize9.0ms (0.3%)

series15.0ms (0.5%)

rewrite84.0ms (2.8%)

simplify112.0ms (3.6%)

eval99.0ms (3.2%)

prune67.0ms (2.2%)

regimes198.0ms (6.5%)

bsearch1.0ms (0%)

regimes37.0ms (1.2%)

bsearch63.0ms (2%)

regimes20.0ms (0.6%)

bsearch22.0ms (0.7%)

regimes64.0ms (2.1%)

bsearch98.0ms (3.2%)

simplify15.0ms (0.5%)

soundness13.0ms (0.4%)

end106.0ms (3.5%)

Profiling