Metrics for Statistics.Distribution.Beta:$cvariance from math-functions-0.1.5.2

analyze119.0ms (1.3%)

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
50%	49.9%	49.9%	0.1%	0%	0%	0%	4
50%	49.9%	49.9%	0.1%	0%	0%	0%	5
50%	49.9%	49.9%	0.1%	0%	0%	0%	6
75%	74.9%	25%	0.1%	0%	0%	0%	7
75%	74.9%	25%	0.1%	0%	0%	0%	8
75%	74.9%	25%	0.1%	0%	0%	0%	9
75%	74.9%	25%	0.1%	0%	0%	0%	10
75%	74.9%	25%	0.1%	0%	0%	0%	11
75%	74.9%	25%	0.1%	0%	0%	0%	12

Compiler

Compiled 15 to 10 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-mult: 23.0ms (68.9% of total)

ival-add: 6.0ms (18% of total)

ival-div: 3.0ms (9% of total)

const: 1.0ms (3% of total)

backward-pass: 0.0ms (0% of total)

sample910.0ms (10%)

Results

683.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 321.0ms

ival-mult: 200.0ms (62.3% of total)

ival-div: 59.0ms (18.4% of total)

ival-add: 47.0ms (14.6% of total)

const: 12.0ms (3.7% of total)

backward-pass: 3.0ms (0.9% of total)

Bogosity

preprocess67.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

1716×	`times-frac`
1346×	`sum3-define`
808×	`fma-define`
712×	`distribute-lft-neg-in`
614×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	105
1	155	103
2	657	102
3	3499	100
4	6744	100
0	9	10
1	30	10
2	82	10
3	198	10
4	261	10
5	265	10
0	265	10

Stop Event

1×	iter limit
1×	saturated
1×	node limit

Calls

Call 1

Inputs
(/ (* x y) (* (* z z) (+ z 1)))

Outputs
(/ (* x y) (* (* z z) (+ z 1)))
(/.f64 (.f64 x y) (.f64 z (*.f64 z (+.f64 z #s(literal 1 binary64)))))

Call 2

Inputs
(/ (* x y) (* (* z z) (+ z 1)))
(/ (* (neg x) y) (* (* z z) (+ z 1)))
(/ (* x (neg y)) (* (* z z) (+ z 1)))
(/ (* x y) (* (* (neg z) (neg z)) (+ (neg z) 1)))
(neg (/ (* (neg x) y) (* (* z z) (+ z 1))))
(neg (/ (* x (neg y)) (* (* z z) (+ z 1))))
(neg (/ (* x y) (* (* (neg z) (neg z)) (+ (neg z) 1))))
(/ (* y x) (* (* z z) (+ z 1)))
(/ (* z y) (* (* x x) (+ x 1)))
(/ (* x z) (* (* y y) (+ y 1)))

Outputs
(/ (* x y) (* (* z z) (+ z 1)))
(* (/ y (+ z 1)) (/ x (square z)))
(/ (* (neg x) y) (* (* z z) (+ z 1)))
(* (/ x (square z)) (/ y (- -1 z)))
(/ (* x (neg y)) (* (* z z) (+ z 1)))
(* (/ x (square z)) (/ y (- -1 z)))
(/ (* x y) (* (* (neg z) (neg z)) (+ (neg z) 1)))
(* y (/ (/ x (- z (square z))) z))
(neg (/ (* (neg x) y) (* (* z z) (+ z 1))))
(* (/ y (+ z 1)) (/ x (square z)))
(neg (/ (* x (neg y)) (* (* z z) (+ z 1))))
(* (/ y (+ z 1)) (/ x (square z)))
(neg (/ (* x y) (* (* (neg z) (neg z)) (+ (neg z) 1))))
(* y (/ (/ x (- (square z) z)) z))
(/ (* y x) (* (* z z) (+ z 1)))
(* (/ y (+ z 1)) (/ x (square z)))
(/ (* z y) (* (* x x) (+ x 1)))
(* y (/ z (* x (+ x (square x)))))
(/ (* x z) (* (* y y) (+ y 1)))
(/ (* x (/ z (fma y y y))) y)

Symmetry

(negabs x)

(negabs y)

(sort x y)

explain95.0ms (1%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
48	-	4	(4.210726880395222e-307 885541.722260404 -5.226062494992731e-159)	`(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))`
0	-	0	-	`x`
0	-	0	-	`(*.f64 z z)`
0	-	0	-	`y`
0	-	0	-	`(+.f64 z #s(literal 1 binary64))`
0	-	0	-	`(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))`
0	-	0	-	`(*.f64 x y)`
0	-	0	-	`z`
0	-	0	-	`#s(literal 1 binary64)`

Results

68.0ms

512×

valid

Compiler

Compiled 84 to 29 computations (65.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-mult: 11.0ms (59.1% of total)

ival-div: 3.0ms (16.1% of total)

ival-add: 3.0ms (16.1% of total)

const: 1.0ms (5.4% of total)

backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler: Compiled 14 to 9 computations (35.7% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	83.4%	(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
▶	83.4%	(/.f64 (.f64 x y) (.f64 z (*.f64 z (+.f64 z #s(literal 1 binary64)))))

Compiler

Compiled 28 to 18 computations (35.7% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 z z)
✓	cost-diff	(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))
✓	cost-diff	(*.f64 x y)
✓	cost-diff	(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
✓	cost-diff	(*.f64 z (+.f64 z #s(literal 1 binary64)))
✓	cost-diff	(.f64 z (.f64 z (+.f64 z #s(literal 1 binary64))))
✓	cost-diff	(*.f64 x y)
✓	cost-diff	(/.f64 (.f64 x y) (.f64 z (*.f64 z (+.f64 z #s(literal 1 binary64)))))

Rules

152×	`times-frac`
114×	`-lowering-.f32`
114×	`-lowering-.f64`
108×	`/-lowering-/.f32`
108×	`/-lowering-/.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	59
1	42	58
2	99	58
3	195	58
4	260	58
0	260	58

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (* x y) (* z (* z (+ z 1))))
(* x y)
x
y
(* z (* z (+ z 1)))
z
(* z (+ z 1))
(+ z 1)
1
(/ (* x y) (* (* z z) (+ z 1)))
(* x y)
x
y
(* (* z z) (+ z 1))
(* z z)
z
(+ z 1)
1

Outputs
(/ (* x y) (* z (* z (+ z 1))))
(/.f64 (.f64 x y) (.f64 z (*.f64 z (+.f64 z #s(literal 1 binary64)))))
(* x y)
(*.f64 x y)
x
y
(* z (* z (+ z 1)))
(.f64 z (.f64 z (+.f64 z #s(literal 1 binary64))))
z
(* z (+ z 1))
(*.f64 z (+.f64 z #s(literal 1 binary64)))
(+ z 1)
(+.f64 z #s(literal 1 binary64))
1
#s(literal 1 binary64)
(/ (* x y) (* (* z z) (+ z 1)))
(/.f64 (.f64 x y) (.f64 z (*.f64 z (+.f64 z #s(literal 1 binary64)))))
(* x y)
(*.f64 x y)
x
y
(* (* z z) (+ z 1))
(.f64 z (.f64 z (+.f64 z #s(literal 1 binary64))))
(* z z)
(*.f64 z z)
z
(+ z 1)
(+.f64 z #s(literal 1 binary64))
1
#s(literal 1 binary64)

localize77.0ms (0.8%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.9%	(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))
✓	accuracy	83.5%	(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(*.f64 z (+.f64 z #s(literal 1 binary64)))
✓	accuracy	99.9%	(.f64 z (.f64 z (+.f64 z #s(literal 1 binary64))))
✓	accuracy	83.5%	(/.f64 (.f64 x y) (.f64 z (*.f64 z (+.f64 z #s(literal 1 binary64)))))

Results

61.0ms

256×

valid

Compiler

Compiled 68 to 13 computations (80.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 9.0ms (60% of total)

ival-div: 4.0ms (26.7% of total)

ival-add: 1.0ms (6.7% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series12.0ms (0.1%)

Counts

7 → 144

Calls

Call 1

Inputs
#<alt (/ (* x y) (* z (* z (+ z 1))))>
#<alt (* x y)>
#<alt (* z (* z (+ z 1)))>
#<alt (* z (+ z 1))>
#<alt (/ (* x y) (* (* z z) (+ z 1)))>
#<alt (* (* z z) (+ z 1))>
#<alt (* z z)>

Outputs
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))>
#<alt (/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))>
#<alt (/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))>
#<alt (/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))>
#<alt (/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3)))>
#<alt (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3)))>
#<alt (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3)))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 z))>
#<alt (* (pow z 2) (+ 1 z))>
#<alt (* (pow z 2) (+ 1 z))>
#<alt (pow z 3)>
#<alt (* (pow z 3) (+ 1 (/ 1 z)))>
#<alt (* (pow z 3) (+ 1 (/ 1 z)))>
#<alt (* (pow z 3) (+ 1 (/ 1 z)))>
#<alt (pow z 3)>
#<alt (* (pow z 3) (+ 1 (/ 1 z)))>
#<alt (* (pow z 3) (+ 1 (/ 1 z)))>
#<alt (* (pow z 3) (+ 1 (/ 1 z)))>
#<alt z>
#<alt (* z (+ 1 z))>
#<alt (* z (+ 1 z))>
#<alt (* z (+ 1 z))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (/ 1 z)))>
#<alt (* (pow z 2) (+ 1 (/ 1 z)))>
#<alt (* (pow z 2) (+ 1 (/ 1 z)))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (/ 1 z)))>
#<alt (* (pow z 2) (+ 1 (/ 1 z)))>
#<alt (* (pow z 2) (+ 1 (/ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))>
#<alt (/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))>
#<alt (/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))>
#<alt (/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))>
#<alt (/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3)))>
#<alt (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3)))>
#<alt (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3)))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 z))>
#<alt (* (pow z 2) (+ 1 z))>
#<alt (* (pow z 2) (+ 1 z))>
#<alt (pow z 3)>
#<alt (* (pow z 3) (+ 1 (/ 1 z)))>
#<alt (* (pow z 3) (+ 1 (/ 1 z)))>
#<alt (* (pow z 3) (+ 1 (/ 1 z)))>
#<alt (pow z 3)>
#<alt (* (pow z 3) (+ 1 (/ 1 z)))>
#<alt (* (pow z 3) (+ 1 (/ 1 z)))>
#<alt (* (pow z 3) (+ 1 (/ 1 z)))>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>

Calls

36 calls:

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

rewrite359.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

4254×	`-lowering-.f32`
4254×	`-lowering-.f64`
2482×	`/-lowering-/.f32`
2482×	`/-lowering-/.f64`
2306×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	42
1	68	41
2	415	41
3	4003	41
0	9545	41

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 812

Calls

Call 1

Inputs
(/ (* x y) (* z (* z (+ z 1))))
(* x y)
(* z (* z (+ z 1)))
(* z (+ z 1))
(/ (* x y) (* (* z z) (+ z 1)))
(* (* z z) (+ z 1))
(* z z)

Outputs
(+.f64 (.f64 (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))))) (.f64 z z)) (.f64 (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 #s(literal 1 binary64) (.f64 z (*.f64 z z))))) (-.f64 #s(literal 1 binary64) z)))
(+.f64 (.f64 (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))))) (-.f64 #s(literal 1 binary64) z)) (.f64 (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))))) (*.f64 z z)))
(+.f64 (.f64 (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 (.f64 z z) #s(literal -1 binary64)))) z) (.f64 (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 (.f64 z z) #s(literal -1 binary64)))) #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 z z) (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 #s(literal 1 binary64) (.f64 z (.f64 z z)))))) (.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 #s(literal 1 binary64) (.f64 z (*.f64 z z)))))))
(+.f64 (.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 #s(literal 1 binary64) (.f64 z (.f64 z z)))))) (.f64 (.f64 z z) (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 #s(literal 1 binary64) (.f64 z (*.f64 z z)))))))
(+.f64 (.f64 z (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 (.f64 z z) #s(literal -1 binary64))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 (.f64 z z) #s(literal -1 binary64))))))
(exp.f64 (.f64 (log.f64 (/.f64 (/.f64 (.f64 z (*.f64 z (+.f64 z #s(literal 1 binary64)))) x) y)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (.f64 x y) (-.f64 #s(literal 0 binary64) (.f64 z (*.f64 z (+.f64 z #s(literal 1 binary64)))))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (.f64 z (.f64 z (+.f64 z #s(literal 1 binary64)))))) (/.f64 (.f64 x y) (-.f64 #s(literal 0 binary64) (.f64 z (*.f64 z (+.f64 z #s(literal 1 binary64)))))))
(fma.f64 z (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 (.f64 z z) #s(literal -1 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 (*.f64 z z) #s(literal -1 binary64))))))
(fma.f64 (.f64 z z) (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))))) (.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 #s(literal 1 binary64) (.f64 z (.f64 z z)))))))
(fma.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))))) (.f64 (.f64 z z) (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 #s(literal 1 binary64) (.f64 z (.f64 z z)))))))
(fma.f64 (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))))) (.f64 z z) (.f64 (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))))) (-.f64 #s(literal 1 binary64) z)))
(fma.f64 (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))))) (-.f64 #s(literal 1 binary64) z) (.f64 (/.f64 (.f64 x y) (.f64 (.f64 z z) (+.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))))) (.f64 z z)))
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(/.f64 (.f64 (.f64 (.f64 z z) (+.f64 (.f64 z z) #s(literal -1 binary64))) z) (*.f64 z (+.f64 z #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)))) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))))) (neg.f64 (+.f64 (.f64 (.f64 z z) (.f64 (.f64 z z) (-.f64 #s(literal 1 binary64) z))) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))))))
(/.f64 (neg.f64 (.f64 (.f64 z (.f64 z (+.f64 z #s(literal 1 binary64)))) (.f64 z (.f64 z (+.f64 z #s(literal -1 binary64)))))) (neg.f64 (.f64 z (*.f64 z (+.f64 z #s(literal -1 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 z z) (+.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 z #s(literal -1 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 z z) (+.f64 (*.f64 z z) #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) z))
(/.f64 (.f64 z (+.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))))) (+.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) z))))
(/.f64 (.f64 z (.f64 (.f64 z z) (+.f64 (.f64 z z) #s(literal -1 binary64)))) (*.f64 z (+.f64 z #s(literal -1 binary64))))
(/.f64 (.f64 (.f64 z z) (+.f64 #s(literal -1 binary64) (.f64 z (-.f64 #s(literal 0 binary64) (.f64 z z))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 z #s(literal -1 binary64))))))
(/.f64 (.f64 (.f64 z z) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) z))
(/.f64 (.f64 (.f64 z z) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (-.f64 #s(literal 1 binary64) z))
(/.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)))) (.f64 (.f64 z z) (-.f64 #s(literal 1 binary64) z)))
(pow.f64 (/.f64 #s(literal 1 binary64) (.f64 z (.f64 z (+.f64 z #s(literal 1 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (.f64 (.f64 z z) (.f64 (.f64 z z) (-.f64 #s(literal 1 binary64) z))) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)))) (+.f64 (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)))) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 z (.f64 z (+.f64 z #s(literal -1 binary64)))) (.f64 (.f64 z (.f64 z (+.f64 z #s(literal 1 binary64)))) (.f64 z (*.f64 z (+.f64 z #s(literal -1 binary64)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 z #s(literal -1 binary64)))) (.f64 (.f64 z z) (+.f64 #s(literal 1 binary64) (.f64 z (*.f64 z z))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 z #s(literal -1 binary64)) (.f64 (.f64 z z) (+.f64 (*.f64 z z) #s(literal -1 binary64)))) #s(literal -1 binary64))
(.f64 z (.f64 z (+.f64 z #s(literal 1 binary64))))
(.f64 z (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 z (+.f64 z #s(literal 1 binary64))))))
(.f64 z (/.f64 (.f64 z (+.f64 z #s(literal 1 binary64))) #s(literal 1 binary64)))
(.f64 #s(literal 1 binary64) (.f64 z (*.f64 z (+.f64 z #s(literal 1 binary64)))))
(.f64 (+.f64 z #s(literal 1 binary64)) (.f64 z z))
(.f64 (+.f64 z #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 z z))))
(.f64 (+.f64 z #s(literal 1 binary64)) (/.f64 (.f64 z z) #s(literal 1 binary64)))
(.f64 (.f64 z (+.f64 z #s(literal 1 binary64))) z)
(.f64 (.f64 z (+.f64 z #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) z)))
(.f64 (.f64 z (+.f64 z #s(literal 1 binary64))) (/.f64 z #s(literal 1 binary64)))
(.f64 (.f64 z (*.f64 z (+.f64 z #s(literal 1 binary64)))) #s(literal 1 binary64))
(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))
(.f64 (.f64 z z) (/.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 z #s(literal -1 binary64))))) (.f64 z z)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))) (/.f64 (.f64 z z) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 z #s(literal -1 binary64))))))
(.f64 (+.f64 (.f64 z z) #s(literal -1 binary64)) (/.f64 (*.f64 z z) (+.f64 z #s(literal -1 binary64))))
(.f64 (+.f64 (.f64 z z) #s(literal -1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal -1 binary64))) (.f64 z z)))
(.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (.f64 z (*.f64 z (+.f64 z #s(literal 1 binary64))))))
(.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) (.f64 z (+.f64 z #s(literal 1 binary64)))))
(.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) z)) (-.f64 #s(literal 0 binary64) (.f64 z z)))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 z (+.f64 z #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) z))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) z)))
(.f64 (+.f64 (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)))) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 z z) (.f64 (.f64 z z) (-.f64 #s(literal 1 binary64) z))) (.f64 (.f64 z (.f64 z z)) (.f64 z (*.f64 z z))))))
(.f64 (.f64 (.f64 z (.f64 z (+.f64 z #s(literal 1 binary64)))) (.f64 z (.f64 z (+.f64 z #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 z (.f64 z (+.f64 z #s(literal -1 binary64))))))
(.f64 (.f64 (.f64 z z) (+.f64 #s(literal 1 binary64) (.f64 z (.f64 z z)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 z #s(literal -1 binary64))))))
(.f64 (.f64 (.f64 z z) (+.f64 (.f64 z z) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal -1 binary64))))
(.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 z z))) (+.f64 z #s(literal 1 binary64)))
(.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 z (+.f64 z #s(literal 1 binary64))))) z)
(.f64 (neg.f64 (-.f64 #s(literal 0 binary64) z)) (.f64 z (+.f64 z #s(literal 1 binary64))))
(.f64 (/.f64 (.f64 (.f64 z z) (+.f64 (.f64 z z) #s(literal -1 binary64))) (+.f64 (*.f64 z z) #s(literal -1 binary64))) (+.f64 z #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (.f64 z z) (+.f64 (.f64 z z) #s(literal -1 binary64))) (+.f64 (.f64 z (.f64 z z)) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 z #s(literal 1 binary64)))))
(.f64 (/.f64 (.f64 (.f64 z z) (+.f64 #s(literal 1 binary64) (.f64 z (.f64 z z)))) (+.f64 (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))) (.f64 (-.f64 #s(literal 1 binary64) z) (.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))))) (+.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 z z)))))
(.f64 (/.f64 (.f64 (.f64 z z) (+.f64 #s(literal 1 binary64) (.f64 z (.f64 z z)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 z #s(literal -1 binary64)))) (+.f64 (+.f64 (.f64 z z) #s(literal -1 binary64)) z))) (+.f64 (+.f64 (*.f64 z z) #s(literal -1 binary64)) z))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 z)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 z)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 z))) #s(literal 2 binary64)))
(pow.f64 z #s(literal 2 binary64))
(pow.f64 (*.f64 z z) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 z)) #s(literal 2 binary64))
(*.f64 z z)
(.f64 #s(literal 1 binary64) (.f64 z z))
(.f64 (.f64 z z) #s(literal 1 binary64))
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 z)))
(*.f64 (pow.f64 (pow.f64 z #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 z #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (exp.f64 (log.f64 z)) #s(literal 1 binary64)) (pow.f64 (exp.f64 (log.f64 z)) #s(literal 1 binary64)))

simplify244.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

3542×	`-lowering-.f32`
3542×	`-lowering-.f64`
1484×	`+-lowering-+.f64`
1484×	`+-lowering-+.f32`
1472×	`--lowering--.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	64	1240
1	227	1081
2	721	1059
3	3933	1033
0	8303	1033

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

Inputs
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (pow z 2))
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
(/ (* x y) (pow z 3))
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))
(/ (* x y) (pow z 3))
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3)))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(pow z 2)
(* (pow z 2) (+ 1 z))
(* (pow z 2) (+ 1 z))
(* (pow z 2) (+ 1 z))
(pow z 3)
(* (pow z 3) (+ 1 (/ 1 z)))
(* (pow z 3) (+ 1 (/ 1 z)))
(* (pow z 3) (+ 1 (/ 1 z)))
(pow z 3)
(* (pow z 3) (+ 1 (/ 1 z)))
(* (pow z 3) (+ 1 (/ 1 z)))
(* (pow z 3) (+ 1 (/ 1 z)))
z
(* z (+ 1 z))
(* z (+ 1 z))
(* z (+ 1 z))
(pow z 2)
(* (pow z 2) (+ 1 (/ 1 z)))
(* (pow z 2) (+ 1 (/ 1 z)))
(* (pow z 2) (+ 1 (/ 1 z)))
(pow z 2)
(* (pow z 2) (+ 1 (/ 1 z)))
(* (pow z 2) (+ 1 (/ 1 z)))
(* (pow z 2) (+ 1 (/ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (pow z 2))
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
(/ (* x y) (pow z 3))
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))
(/ (* x y) (pow z 3))
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3)))
(pow z 2)
(* (pow z 2) (+ 1 z))
(* (pow z 2) (+ 1 z))
(* (pow z 2) (+ 1 z))
(pow z 3)
(* (pow z 3) (+ 1 (/ 1 z)))
(* (pow z 3) (+ 1 (/ 1 z)))
(* (pow z 3) (+ 1 (/ 1 z)))
(pow z 3)
(* (pow z 3) (+ 1 (/ 1 z)))
(* (pow z 3) (+ 1 (/ 1 z)))
(* (pow z 3) (+ 1 (/ 1 z)))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)

Outputs
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (pow z 2))
(/.f64 (*.f64 x (/.f64 y z)) z)
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/.f64 (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) z)) (*.f64 z z))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/.f64 (.f64 x (+.f64 y (.f64 z (.f64 y (+.f64 z #s(literal -1 binary64)))))) (.f64 z z))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
(/.f64 (.f64 (+.f64 (.f64 z z) #s(literal 1 binary64)) (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) z))) (*.f64 z z))
(/ (* x y) (pow z 3))
(/.f64 (.f64 x y) (.f64 z (*.f64 z z)))
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
(/.f64 (.f64 (.f64 x (/.f64 y z)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))) (*.f64 z z))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/.f64 (.f64 x (+.f64 y (/.f64 (-.f64 (/.f64 y z) y) z))) (.f64 z (*.f64 z z)))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))
(/.f64 (.f64 (.f64 x (-.f64 (/.f64 y z) y)) (+.f64 (/.f64 #s(literal -1 binary64) (.f64 z z)) #s(literal -1 binary64))) (.f64 z (*.f64 z z)))
(/ (* x y) (pow z 3))
(/.f64 (.f64 x y) (.f64 z (*.f64 z z)))
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3)))
(/.f64 (.f64 (.f64 x (/.f64 y z)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))) (*.f64 z z))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3)))
(/.f64 (.f64 x (+.f64 y (/.f64 (-.f64 (/.f64 y z) y) z))) (.f64 z (*.f64 z z)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3)))
(/.f64 (.f64 (.f64 x (-.f64 (/.f64 y z) y)) (+.f64 (/.f64 #s(literal -1 binary64) (.f64 z z)) #s(literal -1 binary64))) (.f64 z (*.f64 z z)))
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 z))
(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))
(* (pow z 2) (+ 1 z))
(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))
(* (pow z 2) (+ 1 z))
(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))
(pow z 3)
(.f64 z (.f64 z z))
(* (pow z 3) (+ 1 (/ 1 z)))
(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))
(* (pow z 3) (+ 1 (/ 1 z)))
(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))
(* (pow z 3) (+ 1 (/ 1 z)))
(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))
(pow z 3)
(.f64 z (.f64 z z))
(* (pow z 3) (+ 1 (/ 1 z)))
(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))
(* (pow z 3) (+ 1 (/ 1 z)))
(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))
(* (pow z 3) (+ 1 (/ 1 z)))
(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))
z
(* z (+ 1 z))
(*.f64 z (+.f64 z #s(literal 1 binary64)))
(* z (+ 1 z))
(*.f64 z (+.f64 z #s(literal 1 binary64)))
(* z (+ 1 z))
(*.f64 z (+.f64 z #s(literal 1 binary64)))
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 (/ 1 z)))
(*.f64 z (+.f64 z #s(literal 1 binary64)))
(* (pow z 2) (+ 1 (/ 1 z)))
(*.f64 z (+.f64 z #s(literal 1 binary64)))
(* (pow z 2) (+ 1 (/ 1 z)))
(*.f64 z (+.f64 z #s(literal 1 binary64)))
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 (/ 1 z)))
(*.f64 z (+.f64 z #s(literal 1 binary64)))
(* (pow z 2) (+ 1 (/ 1 z)))
(*.f64 z (+.f64 z #s(literal 1 binary64)))
(* (pow z 2) (+ 1 (/ 1 z)))
(*.f64 z (+.f64 z #s(literal 1 binary64)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (pow z 2))
(/.f64 (*.f64 x (/.f64 y z)) z)
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/.f64 (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) z)) (*.f64 z z))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/.f64 (.f64 x (+.f64 y (.f64 z (.f64 y (+.f64 z #s(literal -1 binary64)))))) (.f64 z z))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
(/.f64 (.f64 (+.f64 (.f64 z z) #s(literal 1 binary64)) (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) z))) (*.f64 z z))
(/ (* x y) (pow z 3))
(/.f64 (.f64 x y) (.f64 z (*.f64 z z)))
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
(/.f64 (.f64 (.f64 x (/.f64 y z)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))) (*.f64 z z))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/.f64 (.f64 x (+.f64 y (/.f64 (-.f64 (/.f64 y z) y) z))) (.f64 z (*.f64 z z)))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))
(/.f64 (.f64 (.f64 x (-.f64 (/.f64 y z) y)) (+.f64 (/.f64 #s(literal -1 binary64) (.f64 z z)) #s(literal -1 binary64))) (.f64 z (*.f64 z z)))
(/ (* x y) (pow z 3))
(/.f64 (.f64 x y) (.f64 z (*.f64 z z)))
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3)))
(/.f64 (.f64 (.f64 x (/.f64 y z)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))) (*.f64 z z))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3)))
(/.f64 (.f64 x (+.f64 y (/.f64 (-.f64 (/.f64 y z) y) z))) (.f64 z (*.f64 z z)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3)))
(/.f64 (.f64 (.f64 x (-.f64 (/.f64 y z) y)) (+.f64 (/.f64 #s(literal -1 binary64) (.f64 z z)) #s(literal -1 binary64))) (.f64 z (*.f64 z z)))
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 z))
(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))
(* (pow z 2) (+ 1 z))
(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))
(* (pow z 2) (+ 1 z))
(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))
(pow z 3)
(.f64 z (.f64 z z))
(* (pow z 3) (+ 1 (/ 1 z)))
(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))
(* (pow z 3) (+ 1 (/ 1 z)))
(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))
(* (pow z 3) (+ 1 (/ 1 z)))
(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))
(pow z 3)
(.f64 z (.f64 z z))
(* (pow z 3) (+ 1 (/ 1 z)))
(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))
(* (pow z 3) (+ 1 (/ 1 z)))
(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))
(* (pow z 3) (+ 1 (/ 1 z)))
(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)

eval156.0ms (1.7%)

Compiler: Compiled 17639 to 1224 computations (93.1% saved)

prune76.0ms (0.8%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	984	11	995
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	986	11	997

Accuracy

100.0%

Counts

997 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.1%	(/.f64 (/.f64 y (+.f64 z #s(literal 1 binary64))) (*.f64 (/.f64 z x) z))
▶	92.8%	(/.f64 (/.f64 y z) (/.f64 (*.f64 z (+.f64 z #s(literal 1 binary64))) x))
	94.2%	(/.f64 (/.f64 x (/.f64 (*.f64 z (+.f64 z #s(literal 1 binary64))) y)) z)
▶	97.2%	(/.f64 (/.f64 x z) (*.f64 (/.f64 (+.f64 z #s(literal 1 binary64)) y) z))
	72.7%	(/.f64 (*.f64 x (/.f64 y z)) z)
▶	54.1%	(/.f64 (.f64 x y) (.f64 z (*.f64 z z)))
▶	70.9%	(/.f64 (.f64 x y) (.f64 z z))
	87.5%	(/.f64 (.f64 #s(literal 1 binary64) x) (.f64 (/.f64 (+.f64 z #s(literal 1 binary64)) y) (*.f64 z z)))
▶	85.1%	(/.f64 x (/.f64 (.f64 z (.f64 z (+.f64 z #s(literal 1 binary64)))) y))
	93.5%	(.f64 (/.f64 y (.f64 z (+.f64 z #s(literal 1 binary64)))) (/.f64 x z))
	92.5%	(.f64 y (.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) (*.f64 z (+.f64 z #s(literal 1 binary64))))))

Compiler

Compiled 296 to 186 computations (37.2% saved)

simplify24.0ms (0.3%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 z (+.f64 z #s(literal 1 binary64)))
✓	cost-diff	(/.f64 (*.f64 z (+.f64 z #s(literal 1 binary64))) x)
✓	cost-diff	(/.f64 y z)
✓	cost-diff	(/.f64 (/.f64 y z) (/.f64 (*.f64 z (+.f64 z #s(literal 1 binary64))) x))
✓	cost-diff	(*.f64 z (+.f64 z #s(literal 1 binary64)))
✓	cost-diff	(.f64 z (.f64 z (+.f64 z #s(literal 1 binary64))))
✓	cost-diff	(/.f64 (.f64 z (.f64 z (+.f64 z #s(literal 1 binary64)))) y)
✓	cost-diff	(/.f64 x (/.f64 (.f64 z (.f64 z (+.f64 z #s(literal 1 binary64)))) y))
✓	cost-diff	(*.f64 z z)
✓	cost-diff	(.f64 z (.f64 z z))
✓	cost-diff	(*.f64 x y)
✓	cost-diff	(/.f64 (.f64 x y) (.f64 z (*.f64 z z)))
✓	cost-diff	(*.f64 z z)
✓	cost-diff	(*.f64 x y)
✓	cost-diff	(/.f64 (.f64 x y) (.f64 z z))
✓	cost-diff	(/.f64 (+.f64 z #s(literal 1 binary64)) y)
✓	cost-diff	(*.f64 (/.f64 (+.f64 z #s(literal 1 binary64)) y) z)
✓	cost-diff	(/.f64 x z)
✓	cost-diff	(/.f64 (/.f64 x z) (*.f64 (/.f64 (+.f64 z #s(literal 1 binary64)) y) z))

Rules

306×	`-lowering-.f32`
306×	`-lowering-.f64`
252×	`associate-/r*`
248×	`/-lowering-/.f32`
248×	`/-lowering-/.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	135
1	62	128
2	128	128
3	309	128
4	500	128
5	636	128
6	734	128
7	740	128
0	740	128

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (/ x z) (* (/ (+ z 1) y) z))
(/ x z)
x
z
(* (/ (+ z 1) y) z)
(/ (+ z 1) y)
(+ z 1)
1
y
(/ (* x y) (* z z))
(* x y)
x
y
(* z z)
z
(/ (* x y) (* z (* z z)))
(* x y)
x
y
(* z (* z z))
z
(* z z)
(/ x (/ (* z (* z (+ z 1))) y))
x
(/ (* z (* z (+ z 1))) y)
(* z (* z (+ z 1)))
z
(* z (+ z 1))
(+ z 1)
1
y
(/ (/ y z) (/ (* z (+ z 1)) x))
(/ y z)
y
z
(/ (* z (+ z 1)) x)
(* z (+ z 1))
(+ z 1)
1
x

Outputs
(/ (/ x z) (* (/ (+ z 1) y) z))
(/.f64 y (.f64 z (.f64 z (/.f64 (+.f64 z #s(literal 1 binary64)) x))))
(/ x z)
(/.f64 x z)
x
z
(* (/ (+ z 1) y) z)
(/.f64 (*.f64 z (+.f64 z #s(literal 1 binary64))) y)
(/ (+ z 1) y)
(/.f64 (+.f64 z #s(literal 1 binary64)) y)
(+ z 1)
(+.f64 z #s(literal 1 binary64))
1
#s(literal 1 binary64)
y
(/ (* x y) (* z z))
(/.f64 x (/.f64 (*.f64 z z) y))
(* x y)
(*.f64 x y)
x
y
(* z z)
(*.f64 z z)
z
(/ (* x y) (* z (* z z)))
(/.f64 (/.f64 x z) (/.f64 (*.f64 z z) y))
(* x y)
(*.f64 x y)
x
y
(* z (* z z))
(.f64 z (.f64 z z))
z
(* z z)
(*.f64 z z)
(/ x (/ (* z (* z (+ z 1))) y))
(/.f64 y (.f64 z (.f64 z (/.f64 (+.f64 z #s(literal 1 binary64)) x))))
x
(/ (* z (* z (+ z 1))) y)
(/.f64 (.f64 z (.f64 z (+.f64 z #s(literal 1 binary64)))) y)
(* z (* z (+ z 1)))
(.f64 z (.f64 z (+.f64 z #s(literal 1 binary64))))
z
(* z (+ z 1))
(*.f64 z (+.f64 z #s(literal 1 binary64)))
(+ z 1)
(+.f64 z #s(literal 1 binary64))
1
#s(literal 1 binary64)
y
(/ (/ y z) (/ (* z (+ z 1)) x))
(/.f64 y (.f64 z (.f64 z (/.f64 (+.f64 z #s(literal 1 binary64)) x))))
(/ y z)
(/.f64 y z)
y
z
(/ (* z (+ z 1)) x)
(*.f64 z (/.f64 (+.f64 z #s(literal 1 binary64)) x))
(* z (+ z 1))
(*.f64 z (+.f64 z #s(literal 1 binary64)))
(+ z 1)
(+.f64 z #s(literal 1 binary64))
1
#s(literal 1 binary64)
x

localize149.0ms (1.6%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 z #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 z (+.f64 z #s(literal 1 binary64)))
✓	accuracy	97.7%	(/.f64 (*.f64 z (+.f64 z #s(literal 1 binary64))) x)
✓	accuracy	94.9%	(/.f64 (/.f64 y z) (/.f64 (*.f64 z (+.f64 z #s(literal 1 binary64))) x))
✓	accuracy	100.0%	(*.f64 z (+.f64 z #s(literal 1 binary64)))
✓	accuracy	99.9%	(.f64 z (.f64 z (+.f64 z #s(literal 1 binary64))))
✓	accuracy	92.1%	(/.f64 (.f64 z (.f64 z (+.f64 z #s(literal 1 binary64)))) y)
✓	accuracy	90.6%	(/.f64 x (/.f64 (.f64 z (.f64 z (+.f64 z #s(literal 1 binary64)))) y))
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.8%	(.f64 z (.f64 z z))
✓	accuracy	83.7%	(/.f64 (.f64 x y) (.f64 z (*.f64 z z)))
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	82.6%	(/.f64 (.f64 x y) (.f64 z z))
✓	accuracy	100.0%	(+.f64 z #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 (+.f64 z #s(literal 1 binary64)) y)
✓	accuracy	99.8%	(*.f64 (/.f64 (+.f64 z #s(literal 1 binary64)) y) z)
✓	accuracy	97.2%	(/.f64 (/.f64 x z) (*.f64 (/.f64 (+.f64 z #s(literal 1 binary64)) y) z))

Results

118.0ms

256×

valid

Compiler

Compiled 148 to 22 computations (85.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-div: 20.0ms (62.2% of total)

ival-mult: 10.0ms (31.1% of total)

ival-add: 2.0ms (6.2% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series29.0ms (0.3%)

Counts

17 → 408

Calls

Call 1

Inputs
#<alt (/ (/ x z) (* (/ (+ z 1) y) z))>
#<alt (/ x z)>
#<alt (* (/ (+ z 1) y) z)>
#<alt (/ (+ z 1) y)>
#<alt (/ (* x y) (* z z))>
#<alt (* x y)>
#<alt (* z z)>
#<alt (/ (* x y) (* z (* z z)))>
#<alt (* z (* z z))>
#<alt (/ x (/ (* z (* z (+ z 1))) y))>
#<alt (/ (* z (* z (+ z 1))) y)>
#<alt (* z (* z (+ z 1)))>
#<alt (* z (+ z 1))>
#<alt (/ (/ y z) (/ (* z (+ z 1)) x))>
#<alt (/ y z)>
#<alt (/ (* z (+ z 1)) x)>
#<alt (+ z 1)>

Outputs
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))>
#<alt (/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))>
#<alt (/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))>
#<alt (/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))>
#<alt (/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3)))>
#<alt (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3)))>
#<alt (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ z y)>
#<alt (* z (+ (/ 1 y) (/ z y)))>
#<alt (* z (+ (/ 1 y) (/ z y)))>
#<alt (* z (+ (/ 1 y) (/ z y)))>
#<alt (/ (pow z 2) y)>
#<alt (* (pow z 2) (+ (/ 1 y) (/ 1 (* y z))))>
#<alt (* (pow z 2) (+ (/ 1 y) (/ 1 (* y z))))>
#<alt (* (pow z 2) (+ (/ 1 y) (/ 1 (* y z))))>
#<alt (/ (pow z 2) y)>
#<alt (* (pow z 2) (+ (/ 1 y) (/ 1 (* y z))))>
#<alt (* (pow z 2) (+ (/ 1 y) (/ 1 (* y z))))>
#<alt (* (pow z 2) (+ (/ 1 y) (/ 1 (* y z))))>
#<alt (/ (* z (+ 1 z)) y)>
#<alt (/ (* z (+ 1 z)) y)>
#<alt (/ (* z (+ 1 z)) y)>
#<alt (/ (* z (+ 1 z)) y)>
#<alt (/ (* z (+ 1 z)) y)>
#<alt (/ (* z (+ 1 z)) y)>
#<alt (/ (* z (+ 1 z)) y)>
#<alt (/ (* z (+ 1 z)) y)>
#<alt (/ (* z (+ 1 z)) y)>
#<alt (/ (* z (+ 1 z)) y)>
#<alt (/ (* z (+ 1 z)) y)>
#<alt (/ (* z (+ 1 z)) y)>
#<alt (/ 1 y)>
#<alt (+ (/ 1 y) (/ z y))>
#<alt (+ (/ 1 y) (/ z y))>
#<alt (+ (/ 1 y) (/ z y))>
#<alt (/ z y)>
#<alt (* z (+ (/ 1 y) (/ 1 (* y z))))>
#<alt (* z (+ (/ 1 y) (/ 1 (* y z))))>
#<alt (* z (+ (/ 1 y) (/ 1 (* y z))))>
#<alt (/ z y)>
#<alt (* z (+ (/ 1 y) (/ 1 (* y z))))>
#<alt (* z (+ (/ 1 y) (/ 1 (* y z))))>
#<alt (* z (+ (/ 1 y) (/ 1 (* y z))))>
#<alt (/ (+ 1 z) y)>
#<alt (/ (+ 1 z) y)>
#<alt (/ (+ 1 z) y)>
#<alt (/ (+ 1 z) y)>
#<alt (/ (+ 1 z) y)>
#<alt (/ (+ 1 z) y)>
#<alt (/ (+ 1 z) y)>
#<alt (/ (+ 1 z) y)>
#<alt (/ (+ 1 z) y)>
#<alt (/ (+ 1 z) y)>
#<alt (/ (+ 1 z) y)>
#<alt (/ (+ 1 z) y)>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (pow z 3)>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))>
#<alt (/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))>
#<alt (/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))>
#<alt (/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))>
#<alt (/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3)))>
#<alt (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3)))>
#<alt (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (pow z 2) y)>
#<alt (* (pow z 2) (+ (/ 1 y) (/ z y)))>
#<alt (* (pow z 2) (+ (/ 1 y) (/ z y)))>
#<alt (* (pow z 2) (+ (/ 1 y) (/ z y)))>
#<alt (/ (pow z 3) y)>
#<alt (* (pow z 3) (+ (/ 1 y) (/ 1 (* y z))))>
#<alt (* (pow z 3) (+ (/ 1 y) (/ 1 (* y z))))>
#<alt (* (pow z 3) (+ (/ 1 y) (/ 1 (* y z))))>
#<alt (/ (pow z 3) y)>
#<alt (* (pow z 3) (+ (/ 1 y) (/ 1 (* y z))))>
#<alt (* (pow z 3) (+ (/ 1 y) (/ 1 (* y z))))>
#<alt (* (pow z 3) (+ (/ 1 y) (/ 1 (* y z))))>
#<alt (/ (* (pow z 2) (+ 1 z)) y)>
#<alt (/ (* (pow z 2) (+ 1 z)) y)>
#<alt (/ (* (pow z 2) (+ 1 z)) y)>
#<alt (/ (* (pow z 2) (+ 1 z)) y)>
#<alt (/ (* (pow z 2) (+ 1 z)) y)>
#<alt (/ (* (pow z 2) (+ 1 z)) y)>
#<alt (/ (* (pow z 2) (+ 1 z)) y)>
#<alt (/ (* (pow z 2) (+ 1 z)) y)>
#<alt (/ (* (pow z 2) (+ 1 z)) y)>
#<alt (/ (* (pow z 2) (+ 1 z)) y)>
#<alt (/ (* (pow z 2) (+ 1 z)) y)>
#<alt (/ (* (pow z 2) (+ 1 z)) y)>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 z))>
#<alt (* (pow z 2) (+ 1 z))>
#<alt (* (pow z 2) (+ 1 z))>
#<alt (pow z 3)>
#<alt (* (pow z 3) (+ 1 (/ 1 z)))>
#<alt (* (pow z 3) (+ 1 (/ 1 z)))>
#<alt (* (pow z 3) (+ 1 (/ 1 z)))>
#<alt (pow z 3)>
#<alt (* (pow z 3) (+ 1 (/ 1 z)))>
#<alt (* (pow z 3) (+ 1 (/ 1 z)))>
#<alt (* (pow z 3) (+ 1 (/ 1 z)))>
#<alt z>
#<alt (* z (+ 1 z))>
#<alt (* z (+ 1 z))>
#<alt (* z (+ 1 z))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (/ 1 z)))>
#<alt (* (pow z 2) (+ 1 (/ 1 z)))>
#<alt (* (pow z 2) (+ 1 (/ 1 z)))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (/ 1 z)))>
#<alt (* (pow z 2) (+ 1 (/ 1 z)))>
#<alt (* (pow z 2) (+ 1 (/ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))>
#<alt (/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))>
#<alt (/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))>
#<alt (/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))>
#<alt (/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3)))>
#<alt (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3)))>
#<alt (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ z x)>
#<alt (* z (+ (/ 1 x) (/ z x)))>
#<alt (* z (+ (/ 1 x) (/ z x)))>
#<alt (* z (+ (/ 1 x) (/ z x)))>
#<alt (/ (pow z 2) x)>
#<alt (* (pow z 2) (+ (/ 1 x) (/ 1 (* x z))))>
#<alt (* (pow z 2) (+ (/ 1 x) (/ 1 (* x z))))>
#<alt (* (pow z 2) (+ (/ 1 x) (/ 1 (* x z))))>
#<alt (/ (pow z 2) x)>
#<alt (* (pow z 2) (+ (/ 1 x) (/ 1 (* x z))))>
#<alt (* (pow z 2) (+ (/ 1 x) (/ 1 (* x z))))>
#<alt (* (pow z 2) (+ (/ 1 x) (/ 1 (* x z))))>
#<alt (/ (* z (+ 1 z)) x)>
#<alt (/ (* z (+ 1 z)) x)>
#<alt (/ (* z (+ 1 z)) x)>
#<alt (/ (* z (+ 1 z)) x)>
#<alt (/ (* z (+ 1 z)) x)>
#<alt (/ (* z (+ 1 z)) x)>
#<alt (/ (* z (+ 1 z)) x)>
#<alt (/ (* z (+ 1 z)) x)>
#<alt (/ (* z (+ 1 z)) x)>
#<alt (/ (* z (+ 1 z)) x)>
#<alt (/ (* z (+ 1 z)) x)>
#<alt (/ (* z (+ 1 z)) x)>
#<alt 1>
#<alt (+ 1 z)>
#<alt (+ 1 z)>
#<alt (+ 1 z)>
#<alt z>
#<alt (* z (+ 1 (/ 1 z)))>
#<alt (* z (+ 1 (/ 1 z)))>
#<alt (* z (+ 1 (/ 1 z)))>
#<alt z>
#<alt (* z (+ 1 (/ 1 z)))>
#<alt (* z (+ 1 (/ 1 z)))>
#<alt (* z (+ 1 (/ 1 z)))>

Calls

102 calls:

Time	Variable		Point	Expression
3.0ms	y	@	0	(/ (* x y) (* z z))
3.0ms	z	@	-inf	(/ (* x y) (* z (* z z)))
2.0ms	x	@	-inf	(/ x z)
1.0ms	x	@	0	(/ (* x y) (* z (* z z)))
1.0ms	y	@	0	(/ (* x y) (* z (* z z)))

rewrite314.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

4476×	`-lowering-.f32`
4476×	`-lowering-.f64`
4064×	`/-lowering-/.f32`
4064×	`/-lowering-/.f64`
1472×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	101
1	135	95
2	958	95
3	7795	95
0	8111	95

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 1315

Calls

Call 1

Inputs
(/ (/ x z) (* (/ (+ z 1) y) z))
(/ x z)
(* (/ (+ z 1) y) z)
(/ (+ z 1) y)
(/ (* x y) (* z z))
(* x y)
(* z z)
(/ (* x y) (* z (* z z)))
(* z (* z z))
(/ x (/ (* z (* z (+ z 1))) y))
(/ (* z (* z (+ z 1))) y)
(* z (* z (+ z 1)))
(* z (+ z 1))
(/ (/ y z) (/ (* z (+ z 1)) x))
(/ y z)
(/ (* z (+ z 1)) x)
(+ z 1)

Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (+.f64 z #s(literal 1 binary64)) (/.f64 y z)) (/.f64 x z))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 x z) (/.f64 (*.f64 z (-.f64 #s(literal -1 binary64) z)) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (.f64 z (-.f64 #s(literal -1 binary64) z)) y)) (/.f64 (/.f64 x z) (/.f64 (.f64 z (-.f64 #s(literal -1 binary64) z)) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 z (/.f64 x (.f64 z (-.f64 #s(literal -1 binary64) z))))) (/.f64 (/.f64 x z) (/.f64 (.f64 z (-.f64 #s(literal -1 binary64) z)) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (.f64 z (-.f64 #s(literal -1 binary64) z)) x)) (/.f64 (/.f64 x z) (/.f64 (.f64 z (-.f64 #s(literal -1 binary64) z)) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (.f64 z z) (/.f64 (-.f64 #s(literal -1 binary64) z) y))) (/.f64 (/.f64 x z) (/.f64 (*.f64 z (-.f64 #s(literal -1 binary64) z)) y)))
(neg.f64 (/.f64 (/.f64 x z) (/.f64 (*.f64 z (-.f64 #s(literal -1 binary64) z)) y)))
(/.f64 x (/.f64 (*.f64 z z) (/.f64 y (+.f64 z #s(literal 1 binary64)))))
(/.f64 (/.f64 x z) (/.f64 (+.f64 z #s(literal 1 binary64)) (/.f64 y z)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 z #s(literal 1 binary64)) (/.f64 y z)) (/.f64 x z)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 z #s(literal 1 binary64)) x) (/.f64 (/.f64 y z) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 z #s(literal 1 binary64)) y) (/.f64 x (*.f64 z z))))
(/.f64 y (/.f64 z (/.f64 x (*.f64 z (+.f64 z #s(literal 1 binary64))))))
(/.f64 y (.f64 (/.f64 (.f64 z (-.f64 #s(literal -1 binary64) z)) x) (-.f64 #s(literal 0 binary64) z)))
(/.f64 (.f64 x y) (.f64 (+.f64 z #s(literal 1 binary64)) (*.f64 z z)))
(/.f64 (/.f64 (/.f64 x (/.f64 z y)) z) (+.f64 z #s(literal 1 binary64)))
(/.f64 (/.f64 (/.f64 x z) (/.f64 (+.f64 z #s(literal 1 binary64)) (/.f64 y z))) #s(literal 1 binary64))
(/.f64 (/.f64 y z) (/.f64 z (/.f64 x (+.f64 z #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 z (/.f64 x (*.f64 z (-.f64 #s(literal -1 binary64) z)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x y)) (.f64 (*.f64 z z) (-.f64 #s(literal -1 binary64) z)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 y z)) (/.f64 (*.f64 z (-.f64 #s(literal -1 binary64) z)) x))
(/.f64 (-.f64 #s(literal 0 binary64) x) (.f64 (.f64 z z) (/.f64 (-.f64 #s(literal -1 binary64) z) y)))
(/.f64 (/.f64 x (-.f64 #s(literal 0 binary64) z)) (/.f64 (*.f64 z (-.f64 #s(literal -1 binary64) z)) y))
(/.f64 (/.f64 (/.f64 y z) z) (/.f64 (+.f64 z #s(literal 1 binary64)) x))
(/.f64 (/.f64 (/.f64 (/.f64 y z) z) (+.f64 z #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 y (+.f64 z #s(literal 1 binary64))) (/.f64 z (/.f64 x z)))
(/.f64 (/.f64 x (*.f64 z (+.f64 z #s(literal 1 binary64)))) (/.f64 z y))
(/.f64 (/.f64 (/.f64 y z) (+.f64 z #s(literal 1 binary64))) (/.f64 z x))
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 z (/.f64 x (+.f64 z #s(literal 1 binary64)))) y))
(/.f64 (/.f64 x (/.f64 z y)) (*.f64 z (+.f64 z #s(literal 1 binary64))))
(/.f64 (/.f64 (/.f64 x z) (/.f64 (+.f64 z #s(literal 1 binary64)) y)) z)
(/.f64 (/.f64 (/.f64 x z) (*.f64 z (+.f64 z #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 z z) (-.f64 #s(literal -1 binary64) z)) (*.f64 x y)))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (*.f64 z z) (/.f64 (-.f64 #s(literal -1 binary64) z) y))))
(/.f64 (/.f64 x (*.f64 z (-.f64 #s(literal -1 binary64) z))) (-.f64 #s(literal 0 binary64) (/.f64 z y)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 z y))) (*.f64 z (-.f64 #s(literal -1 binary64) z)))
(/.f64 (/.f64 (/.f64 (/.f64 y z) z) (-.f64 #s(literal -1 binary64) z)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 x (+.f64 z #s(literal 1 binary64))) (/.f64 z (/.f64 y z)))
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(/.f64 (.f64 (+.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal -1 binary64)))) (+.f64 (.f64 z (.f64 z (.f64 z z))) (+.f64 #s(literal 1 binary64) (.f64 z z))))
(/.f64 (.f64 (+.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 z z)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 z #s(literal 1 binary64)))
(*.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (+.f64 z #s(literal 1 binary64)) (/.f64 (+.f64 z #s(literal -1 binary64)) (+.f64 z #s(literal -1 binary64))))
(.f64 (+.f64 z #s(literal 1 binary64)) (.f64 (+.f64 z #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal -1 binary64)))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 z #s(literal -1 binary64))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 z #s(literal -1 binary64))))) #s(literal 1 binary64)))
(.f64 (+.f64 (.f64 z z) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal -1 binary64))))
(.f64 (+.f64 (.f64 z z) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) z))
(.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 z (.f64 z z))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 z #s(literal -1 binary64)))))))
(.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal -1 binary64))) (+.f64 (.f64 z z) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 z #s(literal -1 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)))
(.f64 (/.f64 (+.f64 (.f64 z z) #s(literal -1 binary64)) (+.f64 (*.f64 z z) #s(literal -1 binary64))) (+.f64 z #s(literal 1 binary64)))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))) (+.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) (.f64 (-.f64 #s(literal 1 binary64) z) (.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))))) (+.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 z z)))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 z #s(literal -1 binary64)))) (+.f64 (+.f64 (.f64 z z) #s(literal -1 binary64)) z))) (+.f64 (+.f64 (*.f64 z z) #s(literal -1 binary64)) z))
(.f64 (/.f64 (+.f64 (.f64 z z) #s(literal -1 binary64)) (+.f64 (.f64 z (.f64 z z)) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 z #s(literal 1 binary64)))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) (-.f64 #s(literal 1 binary64) (.f64 z (.f64 z z)))) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 z #s(literal 1 binary64)))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (+.f64 z #s(literal 1 binary64)))

simplify266.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

4730×	`-lowering-.f32`
4730×	`-lowering-.f64`
1762×	`times-frac`
1628×	`/-lowering-/.f32`
1628×	`/-lowering-/.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	92	3059
1	319	2790
2	915	2652
3	5414	2649
0	8252	2649

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 408

Calls

Call 1

Inputs
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (pow z 2))
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
(/ (* x y) (pow z 3))
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))
(/ (* x y) (pow z 3))
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ z y)
(* z (+ (/ 1 y) (/ z y)))
(* z (+ (/ 1 y) (/ z y)))
(* z (+ (/ 1 y) (/ z y)))
(/ (pow z 2) y)
(* (pow z 2) (+ (/ 1 y) (/ 1 (* y z))))
(* (pow z 2) (+ (/ 1 y) (/ 1 (* y z))))
(* (pow z 2) (+ (/ 1 y) (/ 1 (* y z))))
(/ (pow z 2) y)
(* (pow z 2) (+ (/ 1 y) (/ 1 (* y z))))
(* (pow z 2) (+ (/ 1 y) (/ 1 (* y z))))
(* (pow z 2) (+ (/ 1 y) (/ 1 (* y z))))
(/ (* z (+ 1 z)) y)
(/ (* z (+ 1 z)) y)
(/ (* z (+ 1 z)) y)
(/ (* z (+ 1 z)) y)
(/ (* z (+ 1 z)) y)
(/ (* z (+ 1 z)) y)
(/ (* z (+ 1 z)) y)
(/ (* z (+ 1 z)) y)
(/ (* z (+ 1 z)) y)
(/ (* z (+ 1 z)) y)
(/ (* z (+ 1 z)) y)
(/ (* z (+ 1 z)) y)
(/ 1 y)
(+ (/ 1 y) (/ z y))
(+ (/ 1 y) (/ z y))
(+ (/ 1 y) (/ z y))
(/ z y)
(* z (+ (/ 1 y) (/ 1 (* y z))))
(* z (+ (/ 1 y) (/ 1 (* y z))))
(* z (+ (/ 1 y) (/ 1 (* y z))))
(/ z y)
(* z (+ (/ 1 y) (/ 1 (* y z))))
(* z (+ (/ 1 y) (/ 1 (* y z))))
(* z (+ (/ 1 y) (/ 1 (* y z))))
(/ (+ 1 z) y)
(/ (+ 1 z) y)
(/ (+ 1 z) y)
(/ (+ 1 z) y)
(/ (+ 1 z) y)
(/ (+ 1 z) y)
(/ (+ 1 z) y)
(/ (+ 1 z) y)
(/ (+ 1 z) y)
(/ (+ 1 z) y)
(/ (+ 1 z) y)
(/ (+ 1 z) y)
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(/ (* x y) (pow z 3))
(/ (* x y) (pow z 3))
(/ (* x y) (pow z 3))
(/ (* x y) (pow z 3))
(/ (* x y) (pow z 3))
(/ (* x y) (pow z 3))
(/ (* x y) (pow z 3))
(/ (* x y) (pow z 3))
(/ (* x y) (pow z 3))
(/ (* x y) (pow z 3))
(/ (* x y) (pow z 3))
(/ (* x y) (pow z 3))
(/ (* x y) (pow z 3))
(/ (* x y) (pow z 3))
(/ (* x y) (pow z 3))
(/ (* x y) (pow z 3))
(/ (* x y) (pow z 3))
(/ (* x y) (pow z 3))
(/ (* x y) (pow z 3))
(/ (* x y) (pow z 3))
(/ (* x y) (pow z 3))
(/ (* x y) (pow z 3))
(/ (* x y) (pow z 3))
(/ (* x y) (pow z 3))
(/ (* x y) (pow z 3))
(/ (* x y) (pow z 3))
(/ (* x y) (pow z 3))
(/ (* x y) (pow z 3))
(/ (* x y) (pow z 3))
(/ (* x y) (pow z 3))
(/ (* x y) (pow z 3))
(/ (* x y) (pow z 3))
(/ (* x y) (pow z 3))
(/ (* x y) (pow z 3))
(/ (* x y) (pow z 3))
(/ (* x y) (pow z 3))
(pow z 3)
(pow z 3)
(pow z 3)
(pow z 3)
(pow z 3)
(pow z 3)
(pow z 3)
(pow z 3)
(pow z 3)
(pow z 3)
(pow z 3)
(pow z 3)
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (pow z 2))
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
(/ (* x y) (pow z 3))
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))
(/ (* x y) (pow z 3))
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (pow z 2) y)
(* (pow z 2) (+ (/ 1 y) (/ z y)))
(* (pow z 2) (+ (/ 1 y) (/ z y)))
(* (pow z 2) (+ (/ 1 y) (/ z y)))
(/ (pow z 3) y)
(* (pow z 3) (+ (/ 1 y) (/ 1 (* y z))))
(* (pow z 3) (+ (/ 1 y) (/ 1 (* y z))))
(* (pow z 3) (+ (/ 1 y) (/ 1 (* y z))))
(/ (pow z 3) y)
(* (pow z 3) (+ (/ 1 y) (/ 1 (* y z))))
(* (pow z 3) (+ (/ 1 y) (/ 1 (* y z))))
(* (pow z 3) (+ (/ 1 y) (/ 1 (* y z))))
(/ (* (pow z 2) (+ 1 z)) y)
(/ (* (pow z 2) (+ 1 z)) y)
(/ (* (pow z 2) (+ 1 z)) y)
(/ (* (pow z 2) (+ 1 z)) y)
(/ (* (pow z 2) (+ 1 z)) y)
(/ (* (pow z 2) (+ 1 z)) y)
(/ (* (pow z 2) (+ 1 z)) y)
(/ (* (pow z 2) (+ 1 z)) y)
(/ (* (pow z 2) (+ 1 z)) y)
(/ (* (pow z 2) (+ 1 z)) y)
(/ (* (pow z 2) (+ 1 z)) y)
(/ (* (pow z 2) (+ 1 z)) y)
(pow z 2)
(* (pow z 2) (+ 1 z))
(* (pow z 2) (+ 1 z))
(* (pow z 2) (+ 1 z))
(pow z 3)
(* (pow z 3) (+ 1 (/ 1 z)))
(* (pow z 3) (+ 1 (/ 1 z)))
(* (pow z 3) (+ 1 (/ 1 z)))
(pow z 3)
(* (pow z 3) (+ 1 (/ 1 z)))
(* (pow z 3) (+ 1 (/ 1 z)))
(* (pow z 3) (+ 1 (/ 1 z)))
z
(* z (+ 1 z))
(* z (+ 1 z))
(* z (+ 1 z))
(pow z 2)
(* (pow z 2) (+ 1 (/ 1 z)))
(* (pow z 2) (+ 1 (/ 1 z)))
(* (pow z 2) (+ 1 (/ 1 z)))
(pow z 2)
(* (pow z 2) (+ 1 (/ 1 z)))
(* (pow z 2) (+ 1 (/ 1 z)))
(* (pow z 2) (+ 1 (/ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (pow z 2))
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
(/ (* x y) (pow z 3))
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))
(/ (* x y) (pow z 3))
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ z x)
(* z (+ (/ 1 x) (/ z x)))
(* z (+ (/ 1 x) (/ z x)))
(* z (+ (/ 1 x) (/ z x)))
(/ (pow z 2) x)
(* (pow z 2) (+ (/ 1 x) (/ 1 (* x z))))
(* (pow z 2) (+ (/ 1 x) (/ 1 (* x z))))
(* (pow z 2) (+ (/ 1 x) (/ 1 (* x z))))
(/ (pow z 2) x)
(* (pow z 2) (+ (/ 1 x) (/ 1 (* x z))))
(* (pow z 2) (+ (/ 1 x) (/ 1 (* x z))))
(* (pow z 2) (+ (/ 1 x) (/ 1 (* x z))))
(/ (* z (+ 1 z)) x)
(/ (* z (+ 1 z)) x)
(/ (* z (+ 1 z)) x)
(/ (* z (+ 1 z)) x)
(/ (* z (+ 1 z)) x)
(/ (* z (+ 1 z)) x)
(/ (* z (+ 1 z)) x)
(/ (* z (+ 1 z)) x)
(/ (* z (+ 1 z)) x)
(/ (* z (+ 1 z)) x)
(/ (* z (+ 1 z)) x)
(/ (* z (+ 1 z)) x)
1
(+ 1 z)
(+ 1 z)
(+ 1 z)
z
(* z (+ 1 (/ 1 z)))
(* z (+ 1 (/ 1 z)))
(* z (+ 1 (/ 1 z)))
z
(* z (+ 1 (/ 1 z)))
(* z (+ 1 (/ 1 z)))
(* z (+ 1 (/ 1 z)))

Outputs
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (pow z 2))
(/.f64 (.f64 x y) (.f64 z z))
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/.f64 (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) z)) (*.f64 z z))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
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(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(* (pow z 2) (+ (/ 1 y) (/ z y)))
(/.f64 (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))) y)
(* (pow z 2) (+ (/ 1 y) (/ z y)))
(/.f64 (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))) y)
(* (pow z 2) (+ (/ 1 y) (/ z y)))
(/.f64 (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))) y)
(/ (pow z 3) y)
(/.f64 (.f64 z (.f64 z z)) y)
(* (pow z 3) (+ (/ 1 y) (/ 1 (* y z))))
(/.f64 (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))) y)
(* (pow z 3) (+ (/ 1 y) (/ 1 (* y z))))
(/.f64 (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))) y)
(* (pow z 3) (+ (/ 1 y) (/ 1 (* y z))))
(/.f64 (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))) y)
(/ (pow z 3) y)
(/.f64 (.f64 z (.f64 z z)) y)
(* (pow z 3) (+ (/ 1 y) (/ 1 (* y z))))
(/.f64 (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))) y)
(* (pow z 3) (+ (/ 1 y) (/ 1 (* y z))))
(/.f64 (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))) y)
(* (pow z 3) (+ (/ 1 y) (/ 1 (* y z))))
(/.f64 (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))) y)
(/ (* (pow z 2) (+ 1 z)) y)
(/.f64 (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))) y)
(/ (* (pow z 2) (+ 1 z)) y)
(/.f64 (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))) y)
(/ (* (pow z 2) (+ 1 z)) y)
(/.f64 (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))) y)
(/ (* (pow z 2) (+ 1 z)) y)
(/.f64 (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))) y)
(/ (* (pow z 2) (+ 1 z)) y)
(/.f64 (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))) y)
(/ (* (pow z 2) (+ 1 z)) y)
(/.f64 (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))) y)
(/ (* (pow z 2) (+ 1 z)) y)
(/.f64 (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))) y)
(/ (* (pow z 2) (+ 1 z)) y)
(/.f64 (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))) y)
(/ (* (pow z 2) (+ 1 z)) y)
(/.f64 (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))) y)
(/ (* (pow z 2) (+ 1 z)) y)
(/.f64 (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))) y)
(/ (* (pow z 2) (+ 1 z)) y)
(/.f64 (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))) y)
(/ (* (pow z 2) (+ 1 z)) y)
(/.f64 (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))) y)
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 z))
(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))
(* (pow z 2) (+ 1 z))
(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))
(* (pow z 2) (+ 1 z))
(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))
(pow z 3)
(.f64 z (.f64 z z))
(* (pow z 3) (+ 1 (/ 1 z)))
(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))
(* (pow z 3) (+ 1 (/ 1 z)))
(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))
(* (pow z 3) (+ 1 (/ 1 z)))
(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))
(pow z 3)
(.f64 z (.f64 z z))
(* (pow z 3) (+ 1 (/ 1 z)))
(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))
(* (pow z 3) (+ 1 (/ 1 z)))
(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))
(* (pow z 3) (+ 1 (/ 1 z)))
(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))
z
(* z (+ 1 z))
(*.f64 z (+.f64 z #s(literal 1 binary64)))
(* z (+ 1 z))
(*.f64 z (+.f64 z #s(literal 1 binary64)))
(* z (+ 1 z))
(*.f64 z (+.f64 z #s(literal 1 binary64)))
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 (/ 1 z)))
(*.f64 z (+.f64 z #s(literal 1 binary64)))
(* (pow z 2) (+ 1 (/ 1 z)))
(*.f64 z (+.f64 z #s(literal 1 binary64)))
(* (pow z 2) (+ 1 (/ 1 z)))
(*.f64 z (+.f64 z #s(literal 1 binary64)))
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 (/ 1 z)))
(*.f64 z (+.f64 z #s(literal 1 binary64)))
(* (pow z 2) (+ 1 (/ 1 z)))
(*.f64 z (+.f64 z #s(literal 1 binary64)))
(* (pow z 2) (+ 1 (/ 1 z)))
(*.f64 z (+.f64 z #s(literal 1 binary64)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (pow z 2))
(/.f64 (.f64 x y) (.f64 z z))
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/.f64 (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) z)) (*.f64 z z))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/.f64 (.f64 x (+.f64 y (.f64 z (-.f64 (.f64 y z) y)))) (.f64 z z))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
(/.f64 (+.f64 (.f64 (.f64 z z) (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) z))) (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) z))) (*.f64 z z))
(/ (* x y) (pow z 3))
(/.f64 (.f64 x y) (.f64 z (*.f64 z z)))
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
(/.f64 (/.f64 (.f64 x (-.f64 y (/.f64 y z))) z) (.f64 z z))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/.f64 (-.f64 (.f64 x y) (/.f64 (.f64 x (-.f64 y (/.f64 y z))) z)) (.f64 z (.f64 z z)))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))
(/.f64 (+.f64 (/.f64 (.f64 x (-.f64 y (/.f64 y z))) (.f64 z z)) (.f64 x (-.f64 y (/.f64 y z)))) (.f64 z (*.f64 z z)))
(/ (* x y) (pow z 3))
(/.f64 (.f64 x y) (.f64 z (*.f64 z z)))
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3)))
(/.f64 (/.f64 (.f64 x (-.f64 y (/.f64 y z))) z) (.f64 z z))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3)))
(/.f64 (-.f64 (.f64 x y) (/.f64 (.f64 x (-.f64 y (/.f64 y z))) z)) (.f64 z (.f64 z z)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3)))
(/.f64 (+.f64 (/.f64 (.f64 x (-.f64 y (/.f64 y z))) (.f64 z z)) (.f64 x (-.f64 y (/.f64 y z)))) (.f64 z (*.f64 z z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ z x)
(/.f64 z x)
(* z (+ (/ 1 x) (/ z x)))
(/.f64 (*.f64 z (+.f64 z #s(literal 1 binary64))) x)
(* z (+ (/ 1 x) (/ z x)))
(/.f64 (*.f64 z (+.f64 z #s(literal 1 binary64))) x)
(* z (+ (/ 1 x) (/ z x)))
(/.f64 (*.f64 z (+.f64 z #s(literal 1 binary64))) x)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(* (pow z 2) (+ (/ 1 x) (/ 1 (* x z))))
(/.f64 (*.f64 z (+.f64 z #s(literal 1 binary64))) x)
(* (pow z 2) (+ (/ 1 x) (/ 1 (* x z))))
(/.f64 (*.f64 z (+.f64 z #s(literal 1 binary64))) x)
(* (pow z 2) (+ (/ 1 x) (/ 1 (* x z))))
(/.f64 (*.f64 z (+.f64 z #s(literal 1 binary64))) x)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(* (pow z 2) (+ (/ 1 x) (/ 1 (* x z))))
(/.f64 (*.f64 z (+.f64 z #s(literal 1 binary64))) x)
(* (pow z 2) (+ (/ 1 x) (/ 1 (* x z))))
(/.f64 (*.f64 z (+.f64 z #s(literal 1 binary64))) x)
(* (pow z 2) (+ (/ 1 x) (/ 1 (* x z))))
(/.f64 (*.f64 z (+.f64 z #s(literal 1 binary64))) x)
(/ (* z (+ 1 z)) x)
(/.f64 (*.f64 z (+.f64 z #s(literal 1 binary64))) x)
(/ (* z (+ 1 z)) x)
(/.f64 (*.f64 z (+.f64 z #s(literal 1 binary64))) x)
(/ (* z (+ 1 z)) x)
(/.f64 (*.f64 z (+.f64 z #s(literal 1 binary64))) x)
(/ (* z (+ 1 z)) x)
(/.f64 (*.f64 z (+.f64 z #s(literal 1 binary64))) x)
(/ (* z (+ 1 z)) x)
(/.f64 (*.f64 z (+.f64 z #s(literal 1 binary64))) x)
(/ (* z (+ 1 z)) x)
(/.f64 (*.f64 z (+.f64 z #s(literal 1 binary64))) x)
(/ (* z (+ 1 z)) x)
(/.f64 (*.f64 z (+.f64 z #s(literal 1 binary64))) x)
(/ (* z (+ 1 z)) x)
(/.f64 (*.f64 z (+.f64 z #s(literal 1 binary64))) x)
(/ (* z (+ 1 z)) x)
(/.f64 (*.f64 z (+.f64 z #s(literal 1 binary64))) x)
(/ (* z (+ 1 z)) x)
(/.f64 (*.f64 z (+.f64 z #s(literal 1 binary64))) x)
(/ (* z (+ 1 z)) x)
(/.f64 (*.f64 z (+.f64 z #s(literal 1 binary64))) x)
(/ (* z (+ 1 z)) x)
(/.f64 (*.f64 z (+.f64 z #s(literal 1 binary64))) x)
1
#s(literal 1 binary64)
(+ 1 z)
(+.f64 z #s(literal 1 binary64))
(+ 1 z)
(+.f64 z #s(literal 1 binary64))
(+ 1 z)
(+.f64 z #s(literal 1 binary64))
z
(* z (+ 1 (/ 1 z)))
(+.f64 z #s(literal 1 binary64))
(* z (+ 1 (/ 1 z)))
(+.f64 z #s(literal 1 binary64))
(* z (+ 1 (/ 1 z)))
(+.f64 z #s(literal 1 binary64))
z
(* z (+ 1 (/ 1 z)))
(+.f64 z #s(literal 1 binary64))
(* z (+ 1 (/ 1 z)))
(+.f64 z #s(literal 1 binary64))
(* z (+ 1 (/ 1 z)))
(+.f64 z #s(literal 1 binary64))

eval273.0ms (3%)

Compiler: Compiled 29983 to 3020 computations (89.9% saved)

prune449.0ms (4.9%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	1982	13	1995
Fresh	4	2	6
Picked	4	1	5
Done	0	0	0
Total	1990	16	2006

Accuracy

100.0%

Counts

2006 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	62.2%	(/.f64 (/.f64 (/.f64 y z) z) (/.f64 z x))
	61.9%	(/.f64 (/.f64 (/.f64 x (/.f64 z y)) z) z)
▶	97.1%	(/.f64 (/.f64 y (+.f64 z #s(literal 1 binary64))) (*.f64 (/.f64 z x) z))
	73.5%	(/.f64 (/.f64 y z) (/.f64 z x))
	94.2%	(/.f64 (/.f64 x (/.f64 (*.f64 z (+.f64 z #s(literal 1 binary64))) y)) z)
▶	73.2%	(/.f64 (/.f64 x (/.f64 z y)) z)
	62.2%	(/.f64 (/.f64 x z) (/.f64 z (/.f64 y z)))
	74.0%	(/.f64 (/.f64 x z) (/.f64 z y))
▶	62.2%	(/.f64 (/.f64 x z) (*.f64 (/.f64 z y) z))
✓	70.9%	(/.f64 (.f64 x y) (.f64 z z))
	80.5%	(/.f64 y (/.f64 z (/.f64 x z)))
	57.4%	(/.f64 x (/.f64 (.f64 z (.f64 z z)) y))
▶	70.8%	(/.f64 x (/.f64 (*.f64 z z) y))
	68.6%	(*.f64 (/.f64 (/.f64 y z) z) x)
	73.5%	(*.f64 (/.f64 y z) (/.f64 x z))
▶	76.1%	(.f64 (/.f64 x (.f64 z z)) y)

Compiler

Compiled 346 to 208 computations (39.9% saved)

simplify34.0ms (0.4%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Program
✓	cost-diff	(/.f64 z y)
✓	cost-diff	(*.f64 (/.f64 z y) z)
✓	cost-diff	(/.f64 x z)
✓	cost-diff	(/.f64 (/.f64 x z) (*.f64 (/.f64 z y) z))
✓	cost-diff	(/.f64 z y)
✓	cost-diff	(/.f64 x (/.f64 z y))
✓	cost-diff	(/.f64 (/.f64 x (/.f64 z y)) z)
✓	cost-diff	(*.f64 z z)
✓	cost-diff	(/.f64 (*.f64 z z) y)
✓	cost-diff	(/.f64 x (/.f64 (*.f64 z z) y))
✓	cost-diff	(*.f64 z z)
✓	cost-diff	(/.f64 x (*.f64 z z))
✓	cost-diff	(.f64 (/.f64 x (.f64 z z)) y)
✓	cost-diff	(*.f64 (/.f64 z x) z)
✓	cost-diff	(+.f64 z #s(literal 1 binary64))
✓	cost-diff	(/.f64 y (+.f64 z #s(literal 1 binary64)))
✓	cost-diff	(/.f64 (/.f64 y (+.f64 z #s(literal 1 binary64))) (*.f64 (/.f64 z x) z))

Rules

306×	`-lowering-.f32`
306×	`-lowering-.f64`
248×	`/-lowering-/.f32`
248×	`/-lowering-/.f64`
216×	`associate-/r*`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	97
1	42	97
2	81	97
3	167	96
4	286	96
5	459	96
6	571	96
7	648	96
8	663	96
0	663	96

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (/ y (+ z 1)) (* (/ z x) z))
(/ y (+ z 1))
y
(+ z 1)
z
1
(* (/ z x) z)
(/ z x)
x
(* (/ x (* z z)) y)
(/ x (* z z))
x
(* z z)
z
y
(/ x (/ (* z z) y))
x
(/ (* z z) y)
(* z z)
z
y
(/ (/ x (/ z y)) z)
(/ x (/ z y))
x
(/ z y)
z
y
(/ (/ x z) (* (/ z y) z))
(/ x z)
x
z
(* (/ z y) z)
(/ z y)
y

Outputs
(/ (/ y (+ z 1)) (* (/ z x) z))
(.f64 x (/.f64 y (.f64 z (*.f64 z (+.f64 z #s(literal 1 binary64))))))
(/ y (+ z 1))
(/.f64 y (+.f64 z #s(literal 1 binary64)))
y
(+ z 1)
(+.f64 z #s(literal 1 binary64))
z
1
#s(literal 1 binary64)
(* (/ z x) z)
(/.f64 (*.f64 z z) x)
(/ z x)
(/.f64 z x)
x
(* (/ x (* z z)) y)
(/.f64 x (/.f64 (*.f64 z z) y))
(/ x (* z z))
(/.f64 x (*.f64 z z))
x
(* z z)
(*.f64 z z)
z
y
(/ x (/ (* z z) y))
(/.f64 x (/.f64 (*.f64 z z) y))
x
(/ (* z z) y)
(/.f64 (*.f64 z z) y)
(* z z)
(*.f64 z z)
z
y
(/ (/ x (/ z y)) z)
(/.f64 x (/.f64 (*.f64 z z) y))
(/ x (/ z y))
(/.f64 y (/.f64 z x))
x
(/ z y)
(/.f64 z y)
z
y
(/ (/ x z) (* (/ z y) z))
(/.f64 x (/.f64 (.f64 z (.f64 z z)) y))
(/ x z)
(/.f64 x z)
x
z
(* (/ z y) z)
(/.f64 (*.f64 z z) y)
(/ z y)
(/.f64 z y)
y

localize178.0ms (2%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 z y)
✓	accuracy	100.0%	(/.f64 x z)
✓	accuracy	99.8%	(*.f64 (/.f64 z y) z)
✓	accuracy	96.2%	(/.f64 (/.f64 x z) (*.f64 (/.f64 z y) z))
✓	accuracy	100.0%	(/.f64 z y)
✓	accuracy	98.7%	(/.f64 (/.f64 x (/.f64 z y)) z)
✓	accuracy	90.9%	(/.f64 x (/.f64 z y))
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	90.8%	(/.f64 x (/.f64 (*.f64 z z) y))
✓	accuracy	89.1%	(/.f64 (*.f64 z z) y)
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	92.1%	(.f64 (/.f64 x (.f64 z z)) y)
✓	accuracy	87.9%	(/.f64 x (*.f64 z z))
✓	accuracy	100.0%	(+.f64 z #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 y (+.f64 z #s(literal 1 binary64)))
✓	accuracy	99.8%	(*.f64 (/.f64 z x) z)
✓	accuracy	97.1%	(/.f64 (/.f64 y (+.f64 z #s(literal 1 binary64))) (*.f64 (/.f64 z x) z))

Results

152.0ms

256×

valid

Compiler

Compiled 112 to 21 computations (81.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-div: 47.0ms (82.5% of total)

ival-mult: 7.0ms (12.3% of total)

ival-add: 2.0ms (3.5% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series14.0ms (0.2%)

Counts

15 → 408

Calls

Call 1

Inputs
#<alt (/ (/ y (+ z 1)) (* (/ z x) z))>
#<alt (/ y (+ z 1))>
#<alt (+ z 1)>
#<alt (* (/ z x) z)>
#<alt (* (/ x (* z z)) y)>
#<alt (/ x (* z z))>
#<alt (* z z)>
#<alt (/ x (/ (* z z) y))>
#<alt (/ (* z z) y)>
#<alt (/ (/ x (/ z y)) z)>
#<alt (/ x (/ z y))>
#<alt (/ z y)>
#<alt (/ (/ x z) (* (/ z y) z))>
#<alt (/ x z)>
#<alt (* (/ z y) z)>

Outputs
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))>
#<alt (/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))>
#<alt (/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))>
#<alt (/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))>
#<alt (/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3)))>
#<alt (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3)))>
#<alt (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ y (+ 1 z))>
#<alt (/ y (+ 1 z))>
#<alt (/ y (+ 1 z))>
#<alt (/ y (+ 1 z))>
#<alt (/ y (+ 1 z))>
#<alt (/ y (+ 1 z))>
#<alt (/ y (+ 1 z))>
#<alt (/ y (+ 1 z))>
#<alt (/ y (+ 1 z))>
#<alt (/ y (+ 1 z))>
#<alt (/ y (+ 1 z))>
#<alt (/ y (+ 1 z))>
#<alt y>
#<alt (+ y (* -1 (* y z)))>
#<alt (+ y (* z (- (* y z) y)))>
#<alt (+ y (* z (- (* z (- (* -1 (* y z)) (* -1 y))) y)))>
#<alt (/ y z)>
#<alt (/ (+ y (* -1 (/ y z))) z)>
#<alt (/ (- (+ y (/ y (pow z 2))) (/ y z)) z)>
#<alt (/ (- (+ y (* -1 (/ y (pow z 3)))) (+ (* -1 (/ y (pow z 2))) (/ y z))) z)>
#<alt (/ y z)>
#<alt (* -1 (/ (+ (* -1 y) (/ y z)) z))>
#<alt (* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ y z) y) z))) z))>
#<alt (* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ y z) y) z)) y) z))) z))>
#<alt 1>
#<alt (+ 1 z)>
#<alt (+ 1 z)>
#<alt (+ 1 z)>
#<alt z>
#<alt (* z (+ 1 (/ 1 z)))>
#<alt (* z (+ 1 (/ 1 z)))>
#<alt (* z (+ 1 (/ 1 z)))>
#<alt z>
#<alt (* z (+ 1 (/ 1 z)))>
#<alt (* z (+ 1 (/ 1 z)))>
#<alt (* z (+ 1 (/ 1 z)))>
#<alt (/ (pow z 2) x)>
#<alt (/ (pow z 2) x)>
#<alt (/ (pow z 2) x)>
#<alt (/ (pow z 2) x)>
#<alt (/ (pow z 2) x)>
#<alt (/ (pow z 2) x)>
#<alt (/ (pow z 2) x)>
#<alt (/ (pow z 2) x)>
#<alt (/ (pow z 2) x)>
#<alt (/ (pow z 2) x)>
#<alt (/ (pow z 2) x)>
#<alt (/ (pow z 2) x)>
#<alt (/ (pow z 2) x)>
#<alt (/ (pow z 2) x)>
#<alt (/ (pow z 2) x)>
#<alt (/ (pow z 2) x)>
#<alt (/ (pow z 2) x)>
#<alt (/ (pow z 2) x)>
#<alt (/ (pow z 2) x)>
#<alt (/ (pow z 2) x)>
#<alt (/ (pow z 2) x)>
#<alt (/ (pow z 2) x)>
#<alt (/ (pow z 2) x)>
#<alt (/ (pow z 2) x)>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>
#<alt (/ (pow z 2) y)>

Calls

102 calls:

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

rewrite315.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

3638×	`-lowering-.f32`
3638×	`-lowering-.f64`
3414×	`/-lowering-/.f32`
3414×	`/-lowering-/.f64`
1564×	`prod-diff`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	73
1	122	72
2	848	72
3	5953	72
0	8280	72

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 954

Calls

Call 1

Inputs
(/ (/ y (+ z 1)) (* (/ z x) z))
(/ y (+ z 1))
(+ z 1)
(* (/ z x) z)
(* (/ x (* z z)) y)
(/ x (* z z))
(* z z)
(/ x (/ (* z z) y))
(/ (* z z) y)
(/ (/ x (/ z y)) z)
(/ x (/ z y))
(/ z y)
(/ (/ x z) (* (/ z y) z))
(/ x z)
(* (/ z y) z)

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 z (/.f64 y (/.f64 (.f64 z (+.f64 z #s(literal 1 binary64))) x)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 (-.f64 #s(literal -1 binary64) z) (/.f64 x (*.f64 z z)))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal -1 binary64) z) (/.f64 x (.f64 z z)))) (/.f64 y (/.f64 (-.f64 #s(literal -1 binary64) z) (/.f64 x (.f64 z z)))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 z (-.f64 #s(literal 0 binary64) (/.f64 x z)))) (/.f64 y (/.f64 (-.f64 #s(literal -1 binary64) z) (/.f64 x (*.f64 z z)))))
(neg.f64 (/.f64 y (/.f64 (-.f64 #s(literal -1 binary64) z) (/.f64 x (*.f64 z z)))))
(neg.f64 (.f64 (/.f64 x (.f64 z (-.f64 #s(literal 0 binary64) z))) (/.f64 y (+.f64 z #s(literal 1 binary64)))))
(neg.f64 (.f64 (/.f64 x (.f64 z z)) (/.f64 y (-.f64 #s(literal -1 binary64) z))))
(neg.f64 (/.f64 (/.f64 x (*.f64 z (-.f64 #s(literal 0 binary64) z))) (/.f64 (+.f64 z #s(literal 1 binary64)) y)))
(neg.f64 (/.f64 (/.f64 (.f64 x (-.f64 #s(literal 0 binary64) y)) z) (.f64 z (+.f64 z #s(literal 1 binary64)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x z)) (/.f64 z (/.f64 y (+.f64 z #s(literal 1 binary64))))))
(neg.f64 (/.f64 (/.f64 x (/.f64 (*.f64 z (-.f64 #s(literal 0 binary64) z)) y)) (+.f64 z #s(literal 1 binary64))))
(neg.f64 (/.f64 (/.f64 x (/.f64 (-.f64 #s(literal -1 binary64) z) y)) (*.f64 z z)))
(/.f64 y (/.f64 (.f64 z (.f64 z (+.f64 z #s(literal 1 binary64)))) x))
(/.f64 y (*.f64 (/.f64 z (-.f64 #s(literal 0 binary64) (/.f64 x z))) (-.f64 #s(literal -1 binary64) z)))
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 y (/.f64 (*.f64 z (+.f64 z #s(literal 1 binary64))) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 z (-.f64 #s(literal -1 binary64) z)) (/.f64 (.f64 x (-.f64 #s(literal 0 binary64) y)) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 z (-.f64 #s(literal 0 binary64) z)) (-.f64 #s(literal -1 binary64) z)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 0 binary64) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) z) (/.f64 x (/.f64 (*.f64 z (-.f64 #s(literal 0 binary64) z)) y))))
(/.f64 (/.f64 y (+.f64 z #s(literal 1 binary64))) (/.f64 z (/.f64 x z)))
(/.f64 x (/.f64 (.f64 z (.f64 z (+.f64 z #s(literal 1 binary64)))) y))
(/.f64 x (neg.f64 (/.f64 (.f64 (.f64 z z) (-.f64 #s(literal -1 binary64) z)) y)))
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(.f64 (/.f64 x (.f64 z (-.f64 #s(literal 0 binary64) z))) (-.f64 #s(literal 0 binary64) (/.f64 y z)))
(*.f64 (/.f64 (/.f64 (/.f64 y z) z) z) x)
(.f64 (/.f64 x (.f64 z (*.f64 z z))) y)
(.f64 (/.f64 (/.f64 x (.f64 z (-.f64 #s(literal 0 binary64) z))) z) (-.f64 #s(literal 0 binary64) y))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (/.f64 z (/.f64 y (/.f64 z x)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z))
(*.f64 (/.f64 (/.f64 (/.f64 y z) z) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 x z)))
(.f64 (pow.f64 (/.f64 z (.f64 x (/.f64 (/.f64 y z) z))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z (*.f64 x (/.f64 (/.f64 y z) z))) #s(literal -1/2 binary64)))
(.f64 (.f64 (/.f64 x (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) y)
(.f64 (.f64 (/.f64 x (*.f64 z z)) (/.f64 #s(literal -1 binary64) z)) (-.f64 #s(literal 0 binary64) y))
(.f64 (.f64 (/.f64 (/.f64 y z) z) (/.f64 #s(literal -1 binary64) z)) (-.f64 #s(literal 0 binary64) x))
(.f64 (.f64 (/.f64 (/.f64 x (*.f64 z (-.f64 #s(literal 0 binary64) z))) z) #s(literal -1 binary64)) y)
(*.f64 (/.f64 (/.f64 x z) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 y z) z)))
(*.f64 (/.f64 (/.f64 (/.f64 y z) z) (-.f64 #s(literal 0 binary64) z)) (-.f64 #s(literal 0 binary64) x))
(.f64 (/.f64 (/.f64 x (.f64 z (*.f64 z z))) #s(literal 1 binary64)) y)
(.f64 (/.f64 (/.f64 x (.f64 z z)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 y z)))
(.f64 (/.f64 (/.f64 x (.f64 z (*.f64 z z))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) y))
(exp.f64 (*.f64 (log.f64 (/.f64 z x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x z)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) z)) (-.f64 #s(literal 0 binary64) (/.f64 x z)))
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 x z)))
(neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x z)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 z x))
(/.f64 x z)
(/.f64 (/.f64 x z) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) z))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x z)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 z x)))
(/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 0 binary64) z))
(pow.f64 (/.f64 z x) #s(literal -1 binary64))
(pow.f64 (/.f64 x z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x z))
(*.f64 x (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 x z) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) z))
(.f64 (-.f64 #s(literal 0 binary64) x) (.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) z) x)
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x z)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 #s(literal 0 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z))
(*.f64 (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) x)
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 y z) z)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 z (-.f64 #s(literal 0 binary64) z)) y))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 (*.f64 z (-.f64 #s(literal 0 binary64) z)) y))
(neg.f64 (/.f64 (*.f64 z (-.f64 #s(literal 0 binary64) z)) y))
(neg.f64 (/.f64 (/.f64 (*.f64 z (-.f64 #s(literal 0 binary64) z)) y) #s(literal 1 binary64)))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) (/.f64 #s(literal 1 binary64) z)))
(/.f64 z (/.f64 y z))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y z) z))
(/.f64 (*.f64 z z) y)
(/.f64 (/.f64 z y) (/.f64 #s(literal 1 binary64) z))
(/.f64 (/.f64 z (/.f64 y z)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) (/.f64 y z)))
(/.f64 (*.f64 z (-.f64 #s(literal 0 binary64) z)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) (/.f64 #s(literal -1 binary64) z))
(/.f64 (/.f64 (*.f64 z (-.f64 #s(literal 0 binary64) z)) y) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 z z)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 y z) z)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 0 binary64) (/.f64 y z))))
(/.f64 (/.f64 z (/.f64 #s(literal -1 binary64) z)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z z))) (-.f64 #s(literal 0 binary64) y))
(pow.f64 (/.f64 z (/.f64 y z)) #s(literal 1 binary64))
(pow.f64 (/.f64 (/.f64 y z) z) #s(literal -1 binary64))
(*.f64 z (/.f64 z y))
(*.f64 #s(literal 1 binary64) (/.f64 z (/.f64 y z)))
(.f64 (.f64 z z) (/.f64 #s(literal 1 binary64) y))
(.f64 (.f64 z z) (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(*.f64 (/.f64 z y) z)
(*.f64 (/.f64 z (/.f64 y z)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) (/.f64 z y)))
(.f64 (.f64 z (-.f64 #s(literal 0 binary64) z)) (/.f64 #s(literal -1 binary64) y))
(.f64 (.f64 z (-.f64 #s(literal 0 binary64) z)) (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) (-.f64 #s(literal 0 binary64) z))
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 z z))
(.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 z (-.f64 #s(literal 0 binary64) z)) y))
(.f64 (/.f64 #s(literal -1 binary64) y) (.f64 z (-.f64 #s(literal 0 binary64) z)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 z z)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (pow.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)))
(*.f64 (/.f64 z #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 z y)))
(*.f64 (/.f64 (/.f64 z y) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) z))

simplify644.0ms (7.1%)

Algorithm

1×	egg-herbie

Rules

3374×	`-lowering-.f32`
3374×	`-lowering-.f64`
1444×	`+-lowering-+.f64`
1444×	`+-lowering-+.f32`
1224×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	109	2522
1	351	2232
2	985	2208
3	4884	2207
0	8114	2207

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 408

Calls

Call 1

Inputs
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (pow z 2))
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
(/ (* x y) (pow z 3))
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))
(/ (* x y) (pow z 3))
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ y (+ 1 z))
(/ y (+ 1 z))
(/ y (+ 1 z))
(/ y (+ 1 z))
(/ y (+ 1 z))
(/ y (+ 1 z))
(/ y (+ 1 z))
(/ y (+ 1 z))
(/ y (+ 1 z))
(/ y (+ 1 z))
(/ y (+ 1 z))
(/ y (+ 1 z))
y
(+ y (* -1 (* y z)))
(+ y (* z (- (* y z) y)))
(+ y (* z (- (* z (- (* -1 (* y z)) (* -1 y))) y)))
(/ y z)
(/ (+ y (* -1 (/ y z))) z)
(/ (- (+ y (/ y (pow z 2))) (/ y z)) z)
(/ (- (+ y (* -1 (/ y (pow z 3)))) (+ (* -1 (/ y (pow z 2))) (/ y z))) z)
(/ y z)
(* -1 (/ (+ (* -1 y) (/ y z)) z))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ y z) y) z))) z))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ y z) y) z)) y) z))) z))
1
(+ 1 z)
(+ 1 z)
(+ 1 z)
z
(* z (+ 1 (/ 1 z)))
(* z (+ 1 (/ 1 z)))
(* z (+ 1 (/ 1 z)))
z
(* z (+ 1 (/ 1 z)))
(* z (+ 1 (/ 1 z)))
(* z (+ 1 (/ 1 z)))
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (pow z 2) x)
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ x (pow z 2))
(/ x (pow z 2))
(/ x (pow z 2))
(/ x (pow z 2))
(/ x (pow z 2))
(/ x (pow z 2))
(/ x (pow z 2))
(/ x (pow z 2))
(/ x (pow z 2))
(/ x (pow z 2))
(/ x (pow z 2))
(/ x (pow z 2))
(/ x (pow z 2))
(/ x (pow z 2))
(/ x (pow z 2))
(/ x (pow z 2))
(/ x (pow z 2))
(/ x (pow z 2))
(/ x (pow z 2))
(/ x (pow z 2))
(/ x (pow z 2))
(/ x (pow z 2))
(/ x (pow z 2))
(/ x (pow z 2))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ (* x y) (pow z 3))
(/ (* x y) (pow z 3))
(/ (* x y) (pow z 3))
(/ (* x y) (pow z 3))
(/ (* x y) (pow z 3))
(/ (* x y) (pow z 3))
(/ (* x y) (pow z 3))
(/ (* x y) (pow z 3))
(/ (* x y) (pow z 3))
(/ (* x y) (pow z 3))
(/ (* x y) (pow z 3))
(/ (* x y) (pow z 3))
(/ (* x y) (pow z 3))
(/ (* x y) (pow z 3))
(/ (* x y) (pow z 3))
(/ (* x y) (pow z 3))
(/ (* x y) (pow z 3))
(/ (* x y) (pow z 3))
(/ (* x y) (pow z 3))
(/ (* x y) (pow z 3))
(/ (* x y) (pow z 3))
(/ (* x y) (pow z 3))
(/ (* x y) (pow z 3))
(/ (* x y) (pow z 3))
(/ (* x y) (pow z 3))
(/ (* x y) (pow z 3))
(/ (* x y) (pow z 3))
(/ (* x y) (pow z 3))
(/ (* x y) (pow z 3))
(/ (* x y) (pow z 3))
(/ (* x y) (pow z 3))
(/ (* x y) (pow z 3))
(/ (* x y) (pow z 3))
(/ (* x y) (pow z 3))
(/ (* x y) (pow z 3))
(/ (* x y) (pow z 3))
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)

Outputs
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (pow z 2))
(*.f64 x (/.f64 (/.f64 y z) z))
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/.f64 (.f64 x (.f64 y (-.f64 #s(literal 1 binary64) z))) (*.f64 z z))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/.f64 (.f64 x (+.f64 y (.f64 y (.f64 (+.f64 z #s(literal -1 binary64)) z)))) (.f64 z z))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
(/.f64 (+.f64 (.f64 (.f64 z z) (.f64 x (.f64 y (-.f64 #s(literal 1 binary64) z)))) (.f64 x (.f64 y (-.f64 #s(literal 1 binary64) z)))) (*.f64 z z))
(/ (* x y) (pow z 3))
(/.f64 (*.f64 x (/.f64 (/.f64 y z) z)) z)
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
(/.f64 (/.f64 (.f64 x (-.f64 y (/.f64 y z))) z) (.f64 z z))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/.f64 (.f64 x (+.f64 y (/.f64 (-.f64 (/.f64 y z) y) z))) (.f64 z (*.f64 z z)))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))
(/.f64 (+.f64 (.f64 x y) (/.f64 (.f64 x (-.f64 (/.f64 (-.f64 y (/.f64 y z)) z) y)) z)) (.f64 z (.f64 z z)))
(/ (* x y) (pow z 3))
(/.f64 (*.f64 x (/.f64 (/.f64 y z) z)) z)
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3)))
(/.f64 (/.f64 (.f64 x (-.f64 y (/.f64 y z))) z) (.f64 z z))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3)))
(/.f64 (.f64 x (+.f64 y (/.f64 (-.f64 (/.f64 y z) y) z))) (.f64 z (*.f64 z z)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3)))
(/.f64 (+.f64 (.f64 x y) (/.f64 (.f64 x (-.f64 (/.f64 (-.f64 y (/.f64 y z)) z) y)) z)) (.f64 z (.f64 z z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/ y (+ 1 z))
(/.f64 y (+.f64 z #s(literal 1 binary64)))
(/ y (+ 1 z))
(/.f64 y (+.f64 z #s(literal 1 binary64)))
(/ y (+ 1 z))
(/.f64 y (+.f64 z #s(literal 1 binary64)))
(/ y (+ 1 z))
(/.f64 y (+.f64 z #s(literal 1 binary64)))
(/ y (+ 1 z))
(/.f64 y (+.f64 z #s(literal 1 binary64)))
(/ y (+ 1 z))
(/.f64 y (+.f64 z #s(literal 1 binary64)))
(/ y (+ 1 z))
(/.f64 y (+.f64 z #s(literal 1 binary64)))
(/ y (+ 1 z))
(/.f64 y (+.f64 z #s(literal 1 binary64)))
(/ y (+ 1 z))
(/.f64 y (+.f64 z #s(literal 1 binary64)))
(/ y (+ 1 z))
(/.f64 y (+.f64 z #s(literal 1 binary64)))
(/ y (+ 1 z))
(/.f64 y (+.f64 z #s(literal 1 binary64)))
(/ y (+ 1 z))
(/.f64 y (+.f64 z #s(literal 1 binary64)))
y
(+ y (* -1 (* y z)))
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(+ y (* z (- (* y z) y)))
(+.f64 y (.f64 y (.f64 (+.f64 z #s(literal -1 binary64)) z)))
(+ y (* z (- (* z (- (* -1 (* y z)) (* -1 y))) y)))
(+.f64 y (.f64 z (-.f64 (.f64 z (*.f64 y (-.f64 #s(literal 1 binary64) z))) y)))
(/ y z)
(/.f64 y z)
(/ (+ y (* -1 (/ y z))) z)
(/.f64 (-.f64 y (/.f64 y z)) z)
(/ (- (+ y (/ y (pow z 2))) (/ y z)) z)
(/.f64 (+.f64 y (/.f64 (-.f64 (/.f64 y z) y) z)) z)
(/ (- (+ y (* -1 (/ y (pow z 3)))) (+ (* -1 (/ y (pow z 2))) (/ y z))) z)
(/.f64 (-.f64 y (/.f64 (+.f64 y (/.f64 (-.f64 (/.f64 y z) y) z)) z)) z)
(/ y z)
(/.f64 y z)
(* -1 (/ (+ (* -1 y) (/ y z)) z))
(/.f64 (-.f64 y (/.f64 y z)) z)
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ y z) y) z))) z))
(/.f64 (+.f64 y (/.f64 (-.f64 (/.f64 y z) y) z)) z)
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ y z) y) z)) y) z))) z))
(/.f64 (-.f64 y (/.f64 (+.f64 y (/.f64 (-.f64 (/.f64 y z) y) z)) z)) z)
1
#s(literal 1 binary64)
(+ 1 z)
(+.f64 z #s(literal 1 binary64))
(+ 1 z)
(+.f64 z #s(literal 1 binary64))
(+ 1 z)
(+.f64 z #s(literal 1 binary64))
z
(* z (+ 1 (/ 1 z)))
(+.f64 z #s(literal 1 binary64))
(* z (+ 1 (/ 1 z)))
(+.f64 z #s(literal 1 binary64))
(* z (+ 1 (/ 1 z)))
(+.f64 z #s(literal 1 binary64))
z
(* z (+ 1 (/ 1 z)))
(+.f64 z #s(literal 1 binary64))
(* z (+ 1 (/ 1 z)))
(+.f64 z #s(literal 1 binary64))
(* z (+ 1 (/ 1 z)))
(+.f64 z #s(literal 1 binary64))
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (pow z 2) x)
(/.f64 (*.f64 z z) x)
(/ (* x y) (pow z 2))
(*.f64 x (/.f64 (/.f64 y z) z))
(/ (* x y) (pow z 2))
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(/ (* x y) (pow z 2))
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(/ (* x y) (pow z 2))
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(/ (* x y) (pow z 2))
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(/ (* x y) (pow z 2))
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(/ (* x y) (pow z 2))
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(/ (* x y) (pow z 2))
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(/ (* x y) (pow z 2))
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(/ (* x y) (pow z 2))
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(/ (* x y) (pow z 2))
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(/ (* x y) (pow z 2))
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(/ (* x y) (pow z 2))
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(/ (* x y) (pow z 2))
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(/ (* x y) (pow z 2))
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(/ (* x y) (pow z 2))
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(/ (* x y) (pow z 2))
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(/ (* x y) (pow z 2))
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(/ (* x y) (pow z 2))
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(/ (* x y) (pow z 2))
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(/ (* x y) (pow z 2))
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(/ (* x y) (pow z 2))
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(/ (* x y) (pow z 2))
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(/ (* x y) (pow z 2))
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(/ (* x y) (pow z 2))
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(/ (* x y) (pow z 2))
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(/ (* x y) (pow z 2))
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(/ (* x y) (pow z 2))
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(/ x (pow z 2))
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(/ x (pow z 2))
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(/ x (pow z 2))
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(/ x (pow z 2))
(/.f64 (/.f64 x z) z)
(pow z 2)
(*.f64 z z)
(pow z 2)
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(pow z 2)
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(pow z 2)
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(pow z 2)
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(pow z 2)
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(/ (* x y) (pow z 2))
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(/ (pow z 2) y)
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(/ (pow z 2) y)
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(/ (pow z 2) y)
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(*.f64 x (/.f64 (/.f64 y z) z))
(/ (* x y) (pow z 2))
(*.f64 x (/.f64 (/.f64 y z) z))
(/ (* x y) (pow z 2))
(*.f64 x (/.f64 (/.f64 y z) z))
(/ (* x y) (pow z 2))
(*.f64 x (/.f64 (/.f64 y z) z))
(/ (* x y) (pow z 2))
(*.f64 x (/.f64 (/.f64 y z) z))
(/ (* x y) (pow z 2))
(*.f64 x (/.f64 (/.f64 y z) z))
(/ (* x y) (pow z 2))
(*.f64 x (/.f64 (/.f64 y z) z))
(/ (* x y) (pow z 2))
(*.f64 x (/.f64 (/.f64 y z) z))
(/ (* x y) (pow z 2))
(*.f64 x (/.f64 (/.f64 y z) z))
(/ (* x y) (pow z 2))
(*.f64 x (/.f64 (/.f64 y z) z))
(/ (* x y) (pow z 2))
(*.f64 x (/.f64 (/.f64 y z) z))
(/ (* x y) (pow z 2))
(*.f64 x (/.f64 (/.f64 y z) z))
(/ (* x y) (pow z 2))
(*.f64 x (/.f64 (/.f64 y z) z))
(/ (* x y) (pow z 2))
(*.f64 x (/.f64 (/.f64 y z) z))
(/ (* x y) (pow z 2))
(*.f64 x (/.f64 (/.f64 y z) z))
(/ (* x y) (pow z 2))
(*.f64 x (/.f64 (/.f64 y z) z))
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ (* x y) (pow z 3))
(/.f64 (*.f64 x (/.f64 (/.f64 y z) z)) z)
(/ (* x y) (pow z 3))
(/.f64 (*.f64 x (/.f64 (/.f64 y z) z)) z)
(/ (* x y) (pow z 3))
(/.f64 (*.f64 x (/.f64 (/.f64 y z) z)) z)
(/ (* x y) (pow z 3))
(/.f64 (*.f64 x (/.f64 (/.f64 y z) z)) z)
(/ (* x y) (pow z 3))
(/.f64 (*.f64 x (/.f64 (/.f64 y z) z)) z)
(/ (* x y) (pow z 3))
(/.f64 (*.f64 x (/.f64 (/.f64 y z) z)) z)
(/ (* x y) (pow z 3))
(/.f64 (*.f64 x (/.f64 (/.f64 y z) z)) z)
(/ (* x y) (pow z 3))
(/.f64 (*.f64 x (/.f64 (/.f64 y z) z)) z)
(/ (* x y) (pow z 3))
(/.f64 (*.f64 x (/.f64 (/.f64 y z) z)) z)
(/ (* x y) (pow z 3))
(/.f64 (*.f64 x (/.f64 (/.f64 y z) z)) z)
(/ (* x y) (pow z 3))
(/.f64 (*.f64 x (/.f64 (/.f64 y z) z)) z)
(/ (* x y) (pow z 3))
(/.f64 (*.f64 x (/.f64 (/.f64 y z) z)) z)
(/ (* x y) (pow z 3))
(/.f64 (*.f64 x (/.f64 (/.f64 y z) z)) z)
(/ (* x y) (pow z 3))
(/.f64 (*.f64 x (/.f64 (/.f64 y z) z)) z)
(/ (* x y) (pow z 3))
(/.f64 (*.f64 x (/.f64 (/.f64 y z) z)) z)
(/ (* x y) (pow z 3))
(/.f64 (*.f64 x (/.f64 (/.f64 y z) z)) z)
(/ (* x y) (pow z 3))
(/.f64 (*.f64 x (/.f64 (/.f64 y z) z)) z)
(/ (* x y) (pow z 3))
(/.f64 (*.f64 x (/.f64 (/.f64 y z) z)) z)
(/ (* x y) (pow z 3))
(/.f64 (*.f64 x (/.f64 (/.f64 y z) z)) z)
(/ (* x y) (pow z 3))
(/.f64 (*.f64 x (/.f64 (/.f64 y z) z)) z)
(/ (* x y) (pow z 3))
(/.f64 (*.f64 x (/.f64 (/.f64 y z) z)) z)
(/ (* x y) (pow z 3))
(/.f64 (*.f64 x (/.f64 (/.f64 y z) z)) z)
(/ (* x y) (pow z 3))
(/.f64 (*.f64 x (/.f64 (/.f64 y z) z)) z)
(/ (* x y) (pow z 3))
(/.f64 (*.f64 x (/.f64 (/.f64 y z) z)) z)
(/ (* x y) (pow z 3))
(/.f64 (*.f64 x (/.f64 (/.f64 y z) z)) z)
(/ (* x y) (pow z 3))
(/.f64 (*.f64 x (/.f64 (/.f64 y z) z)) z)
(/ (* x y) (pow z 3))
(/.f64 (*.f64 x (/.f64 (/.f64 y z) z)) z)
(/ (* x y) (pow z 3))
(/.f64 (*.f64 x (/.f64 (/.f64 y z) z)) z)
(/ (* x y) (pow z 3))
(/.f64 (*.f64 x (/.f64 (/.f64 y z) z)) z)
(/ (* x y) (pow z 3))
(/.f64 (*.f64 x (/.f64 (/.f64 y z) z)) z)
(/ (* x y) (pow z 3))
(/.f64 (*.f64 x (/.f64 (/.f64 y z) z)) z)
(/ (* x y) (pow z 3))
(/.f64 (*.f64 x (/.f64 (/.f64 y z) z)) z)
(/ (* x y) (pow z 3))
(/.f64 (*.f64 x (/.f64 (/.f64 y z) z)) z)
(/ (* x y) (pow z 3))
(/.f64 (*.f64 x (/.f64 (/.f64 y z) z)) z)
(/ (* x y) (pow z 3))
(/.f64 (*.f64 x (/.f64 (/.f64 y z) z)) z)
(/ (* x y) (pow z 3))
(/.f64 (*.f64 x (/.f64 (/.f64 y z) z)) z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)

eval270.0ms (3%)

Compiler: Compiled 17811 to 1940 computations (89.1% saved)

prune215.0ms (2.4%)

Pruning

17 alts after pruning (12 fresh and 5 done)

	Pruned	Kept	Total
New	1442	6	1448
Fresh	4	6	10
Picked	1	4	5
Done	0	1	1
Total	1447	17	1464

Accuracy

100.0%

Counts

1464 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	61.9%	(/.f64 (/.f64 (/.f64 x (/.f64 z y)) z) z)
	73.5%	(/.f64 (/.f64 y z) (/.f64 z x))
	60.4%	(/.f64 (/.f64 y z) (*.f64 (/.f64 z x) z))
▶	94.2%	(/.f64 (/.f64 x (/.f64 (*.f64 z (+.f64 z #s(literal 1 binary64))) y)) z)
✓	73.2%	(/.f64 (/.f64 x (/.f64 z y)) z)
	72.7%	(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y z))) z)
▶	74.0%	(/.f64 (/.f64 x z) (/.f64 z y))
✓	62.2%	(/.f64 (/.f64 x z) (*.f64 (/.f64 z y) z))
	62.7%	(/.f64 (*.f64 x (/.f64 (/.f64 y z) z)) z)
✓	70.9%	(/.f64 (.f64 x y) (.f64 z z))
	80.5%	(/.f64 y (*.f64 (/.f64 z x) z))
✓	70.8%	(/.f64 x (/.f64 (*.f64 z z) y))
▶	61.4%	(/.f64 x (/.f64 z (/.f64 (/.f64 y z) z)))
▶	68.6%	(*.f64 (/.f64 (/.f64 y z) z) x)
	80.5%	(*.f64 (/.f64 (/.f64 x z) z) y)
▶	73.5%	(*.f64 (/.f64 y z) (/.f64 x z))
✓	76.1%	(.f64 (/.f64 x (.f64 z z)) y)

Compiler

Compiled 320 to 193 computations (39.7% saved)

simplify18.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Program
✓	cost-diff	(/.f64 y z)
✓	cost-diff	(/.f64 (/.f64 y z) z)
✓	cost-diff	(/.f64 z (/.f64 (/.f64 y z) z))
✓	cost-diff	(/.f64 x (/.f64 z (/.f64 (/.f64 y z) z)))
✓	cost-diff	(/.f64 z y)
✓	cost-diff	(/.f64 x z)
✓	cost-diff	(/.f64 (/.f64 x z) (/.f64 z y))
✓	cost-diff	(/.f64 y z)
✓	cost-diff	(/.f64 (/.f64 y z) z)
✓	cost-diff	(*.f64 (/.f64 (/.f64 y z) z) x)
✓	cost-diff	(/.f64 x z)
✓	cost-diff	(/.f64 y z)
✓	cost-diff	(*.f64 (/.f64 y z) (/.f64 x z))
✓	cost-diff	(*.f64 z (+.f64 z #s(literal 1 binary64)))
✓	cost-diff	(/.f64 (*.f64 z (+.f64 z #s(literal 1 binary64))) y)
✓	cost-diff	(/.f64 x (/.f64 (*.f64 z (+.f64 z #s(literal 1 binary64))) y))
✓	cost-diff	(/.f64 (/.f64 x (/.f64 (*.f64 z (+.f64 z #s(literal 1 binary64))) y)) z)

Rules

218×	`-lowering-.f32`
218×	`-lowering-.f64`
206×	`/-lowering-/.f32`
206×	`/-lowering-/.f64`
200×	`times-frac`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	18	116
1	47	105
2	91	105
3	240	103
4	487	103
5	528	103
6	555	103
0	555	103

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (/ x (/ (* z (+ z 1)) y)) z)
(/ x (/ (* z (+ z 1)) y))
x
(/ (* z (+ z 1)) y)
(* z (+ z 1))
z
(+ z 1)
1
y
(* (/ y z) (/ x z))
(/ y z)
y
z
(/ x z)
x
(* (/ (/ y z) z) x)
(/ (/ y z) z)
(/ y z)
y
z
x
(/ (/ x z) (/ z y))
(/ x z)
x
z
(/ z y)
y
(/ x (/ z (/ (/ y z) z)))
x
(/ z (/ (/ y z) z))
z
(/ (/ y z) z)
(/ y z)
y

Outputs
(/ (/ x (/ (* z (+ z 1)) y)) z)
(/.f64 (/.f64 (*.f64 y (/.f64 x (+.f64 z #s(literal 1 binary64)))) z) z)
(/ x (/ (* z (+ z 1)) y))
(/.f64 (*.f64 y (/.f64 x (+.f64 z #s(literal 1 binary64)))) z)
x
(/ (* z (+ z 1)) y)
(/.f64 (*.f64 z (+.f64 z #s(literal 1 binary64))) y)
(* z (+ z 1))
(*.f64 z (+.f64 z #s(literal 1 binary64)))
z
(+ z 1)
(+.f64 z #s(literal 1 binary64))
1
#s(literal 1 binary64)
y
(* (/ y z) (/ x z))
(/.f64 (/.f64 (*.f64 y x) z) z)
(/ y z)
(/.f64 y z)
y
z
(/ x z)
(/.f64 x z)
x
(* (/ (/ y z) z) x)
(/.f64 (/.f64 (*.f64 y x) z) z)
(/ (/ y z) z)
(/.f64 y (*.f64 z z))
(/ y z)
(/.f64 y z)
y
z
x
(/ (/ x z) (/ z y))
(/.f64 (/.f64 (*.f64 y x) z) z)
(/ x z)
(/.f64 x z)
x
z
(/ z y)
(/.f64 z y)
y
(/ x (/ z (/ (/ y z) z)))
(/.f64 (/.f64 x z) (/.f64 z (/.f64 y z)))
x
(/ z (/ (/ y z) z))
(/.f64 z (/.f64 y (*.f64 z z)))
z
(/ (/ y z) z)
(/.f64 y (*.f64 z z))
(/ y z)
(/.f64 y z)
y

localize117.0ms (1.3%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 y z)
✓	accuracy	99.8%	(/.f64 z (/.f64 (/.f64 y z) z))
✓	accuracy	99.8%	(/.f64 (/.f64 y z) z)
✓	accuracy	92.5%	(/.f64 x (/.f64 z (/.f64 (/.f64 y z) z)))
✓	accuracy	100.0%	(/.f64 z y)
✓	accuracy	100.0%	(/.f64 x z)
✓	accuracy	96.7%	(/.f64 (/.f64 x z) (/.f64 z y))
✓	accuracy	100.0%	(/.f64 y z)
✓	accuracy	99.8%	(/.f64 (/.f64 y z) z)
✓	accuracy	91.0%	(*.f64 (/.f64 (/.f64 y z) z) x)
✓	accuracy	100.0%	(/.f64 y z)
✓	accuracy	100.0%	(/.f64 x z)
✓	accuracy	96.2%	(*.f64 (/.f64 y z) (/.f64 x z))
✓	accuracy	100.0%	(*.f64 z (+.f64 z #s(literal 1 binary64)))
✓	accuracy	99.2%	(/.f64 (/.f64 x (/.f64 (*.f64 z (+.f64 z #s(literal 1 binary64))) y)) z)
✓	accuracy	90.7%	(/.f64 (*.f64 z (+.f64 z #s(literal 1 binary64))) y)
✓	accuracy	89.5%	(/.f64 x (/.f64 (*.f64 z (+.f64 z #s(literal 1 binary64))) y))

Results

91.0ms

256×

valid

Compiler

Compiled 120 to 19 computations (84.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-div: 18.0ms (69.9% of total)

ival-mult: 5.0ms (19.4% of total)

ival-add: 2.0ms (7.8% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series15.0ms (0.2%)

Counts

13 → 372

Calls

Call 1

Inputs
#<alt (/ (/ x (/ (* z (+ z 1)) y)) z)>
#<alt (/ x (/ (* z (+ z 1)) y))>
#<alt (/ (* z (+ z 1)) y)>
#<alt (* z (+ z 1))>
#<alt (* (/ y z) (/ x z))>
#<alt (/ y z)>
#<alt (/ x z)>
#<alt (* (/ (/ y z) z) x)>
#<alt (/ (/ y z) z)>
#<alt (/ (/ x z) (/ z y))>
#<alt (/ z y)>
#<alt (/ x (/ z (/ (/ y z) z)))>
#<alt (/ z (/ (/ y z) z))>

Outputs
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))>
#<alt (/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))>
#<alt (/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))>
#<alt (/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))>
#<alt (/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3)))>
#<alt (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3)))>
#<alt (* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* (pow z 2) (+ 1 z)))>
#<alt (/ (* x y) (* z (+ 1 z)))>
#<alt (/ (* x y) (* z (+ 1 z)))>
#<alt (/ (* x y) (* z (+ 1 z)))>
#<alt (/ (* x y) (* z (+ 1 z)))>
#<alt (/ (* x y) (* z (+ 1 z)))>
#<alt (/ (* x y) (* z (+ 1 z)))>
#<alt (/ (* x y) (* z (+ 1 z)))>
#<alt (/ (* x y) (* z (+ 1 z)))>
#<alt (/ (* x y) (* z (+ 1 z)))>
#<alt (/ (* x y) (* z (+ 1 z)))>
#<alt (/ (* x y) (* z (+ 1 z)))>
#<alt (/ (* x y) (* z (+ 1 z)))>
#<alt (/ (* x y) z)>
#<alt (/ (+ (* -1 (* x (* y z))) (* x y)) z)>
#<alt (/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) z)>
#<alt (/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) z)>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 2))>
#<alt (/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 2))>
#<alt (/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (* x y) z)) (* x y)) z)) (* x y)) (pow z 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* x y) z)) (* x y)) z)) (* x y)) z)) (* x y)) (pow z 2))>
#<alt (/ (* x y) (* z (+ 1 z)))>
#<alt (/ (* x y) (* z (+ 1 z)))>
#<alt (/ (* x y) (* z (+ 1 z)))>
#<alt (/ (* x y) (* z (+ 1 z)))>
#<alt (/ (* x y) (* z (+ 1 z)))>
#<alt (/ (* x y) (* z (+ 1 z)))>
#<alt (/ (* x y) (* z (+ 1 z)))>
#<alt (/ (* x y) (* z (+ 1 z)))>
#<alt (/ (* x y) (* z (+ 1 z)))>
#<alt (/ (* x y) (* z (+ 1 z)))>
#<alt (/ (* x y) (* z (+ 1 z)))>
#<alt (/ (* x y) (* z (+ 1 z)))>
#<alt (/ z y)>
#<alt (* z (+ (/ 1 y) (/ z y)))>
#<alt (* z (+ (/ 1 y) (/ z y)))>
#<alt (* z (+ (/ 1 y) (/ z y)))>
#<alt (/ (pow z 2) y)>
#<alt (* (pow z 2) (+ (/ 1 y) (/ 1 (* y z))))>
#<alt (* (pow z 2) (+ (/ 1 y) (/ 1 (* y z))))>
#<alt (* (pow z 2) (+ (/ 1 y) (/ 1 (* y z))))>
#<alt (/ (pow z 2) y)>
#<alt (* (pow z 2) (+ (/ 1 y) (/ 1 (* y z))))>
#<alt (* (pow z 2) (+ (/ 1 y) (/ 1 (* y z))))>
#<alt (* (pow z 2) (+ (/ 1 y) (/ 1 (* y z))))>
#<alt (/ (* z (+ 1 z)) y)>
#<alt (/ (* z (+ 1 z)) y)>
#<alt (/ (* z (+ 1 z)) y)>
#<alt (/ (* z (+ 1 z)) y)>
#<alt (/ (* z (+ 1 z)) y)>
#<alt (/ (* z (+ 1 z)) y)>
#<alt (/ (* z (+ 1 z)) y)>
#<alt (/ (* z (+ 1 z)) y)>
#<alt (/ (* z (+ 1 z)) y)>
#<alt (/ (* z (+ 1 z)) y)>
#<alt (/ (* z (+ 1 z)) y)>
#<alt (/ (* z (+ 1 z)) y)>
#<alt z>
#<alt (* z (+ 1 z))>
#<alt (* z (+ 1 z))>
#<alt (* z (+ 1 z))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (/ 1 z)))>
#<alt (* (pow z 2) (+ 1 (/ 1 z)))>
#<alt (* (pow z 2) (+ 1 (/ 1 z)))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (/ 1 z)))>
#<alt (* (pow z 2) (+ 1 (/ 1 z)))>
#<alt (* (pow z 2) (+ 1 (/ 1 z)))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
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#<alt (/ y z)>
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#<alt (/ y z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
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#<alt (/ x z)>
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#<alt (/ x z)>
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#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ y (pow z 2))>
#<alt (/ y (pow z 2))>
#<alt (/ y (pow z 2))>
#<alt (/ y (pow z 2))>
#<alt (/ y (pow z 2))>
#<alt (/ y (pow z 2))>
#<alt (/ y (pow z 2))>
#<alt (/ y (pow z 2))>
#<alt (/ y (pow z 2))>
#<alt (/ y (pow z 2))>
#<alt (/ y (pow z 2))>
#<alt (/ y (pow z 2))>
#<alt (/ y (pow z 2))>
#<alt (/ y (pow z 2))>
#<alt (/ y (pow z 2))>
#<alt (/ y (pow z 2))>
#<alt (/ y (pow z 2))>
#<alt (/ y (pow z 2))>
#<alt (/ y (pow z 2))>
#<alt (/ y (pow z 2))>
#<alt (/ y (pow z 2))>
#<alt (/ y (pow z 2))>
#<alt (/ y (pow z 2))>
#<alt (/ y (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ (* x y) (pow z 2))>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (* x y) (pow z 3))>
#<alt (/ (pow z 3) y)>
#<alt (/ (pow z 3) y)>
#<alt (/ (pow z 3) y)>
#<alt (/ (pow z 3) y)>
#<alt (/ (pow z 3) y)>
#<alt (/ (pow z 3) y)>
#<alt (/ (pow z 3) y)>
#<alt (/ (pow z 3) y)>
#<alt (/ (pow z 3) y)>
#<alt (/ (pow z 3) y)>
#<alt (/ (pow z 3) y)>
#<alt (/ (pow z 3) y)>
#<alt (/ (pow z 3) y)>
#<alt (/ (pow z 3) y)>
#<alt (/ (pow z 3) y)>
#<alt (/ (pow z 3) y)>
#<alt (/ (pow z 3) y)>
#<alt (/ (pow z 3) y)>
#<alt (/ (pow z 3) y)>
#<alt (/ (pow z 3) y)>
#<alt (/ (pow z 3) y)>
#<alt (/ (pow z 3) y)>
#<alt (/ (pow z 3) y)>
#<alt (/ (pow z 3) y)>

Calls

93 calls:

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

rewrite302.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

3502×	`-lowering-.f32`
3502×	`-lowering-.f64`
3090×	`/-lowering-/.f32`
3090×	`/-lowering-/.f64`
1516×	`prod-diff`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	83
1	112	72
2	843	71
3	5937	71
0	8129	71

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 925

Calls

Call 1

Inputs
(/ (/ x (/ (* z (+ z 1)) y)) z)
(/ x (/ (* z (+ z 1)) y))
(/ (* z (+ z 1)) y)
(* z (+ z 1))
(* (/ y z) (/ x z))
(/ y z)
(/ x z)
(* (/ (/ y z) z) x)
(/ (/ y z) z)
(/ (/ x z) (/ z y))
(/ z y)
(/ x (/ z (/ (/ y z) z)))
(/ z (/ (/ y z) z))

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 z (/.f64 x (/.f64 (.f64 z (+.f64 z #s(literal 1 binary64))) y)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) (.f64 z (/.f64 (.f64 z (+.f64 z #s(literal 1 binary64))) y)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (.f64 z (+.f64 z #s(literal 1 binary64))) y))) (/.f64 x (-.f64 #s(literal 0 binary64) (.f64 z (/.f64 (*.f64 z (+.f64 z #s(literal 1 binary64))) y)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (.f64 z (/.f64 (.f64 z (+.f64 z #s(literal 1 binary64))) y)))) (/.f64 x (-.f64 #s(literal 0 binary64) (.f64 z (/.f64 (.f64 z (+.f64 z #s(literal 1 binary64))) y)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) z)) (/.f64 x (-.f64 #s(literal 0 binary64) (.f64 z (/.f64 (.f64 z (+.f64 z #s(literal 1 binary64))) y)))))
(neg.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (.f64 z (/.f64 (.f64 z (+.f64 z #s(literal 1 binary64))) y)))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 (.f64 z (+.f64 z #s(literal 1 binary64))) y)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x z)) (/.f64 (*.f64 z (+.f64 z #s(literal 1 binary64))) y)))
(/.f64 x (.f64 z (/.f64 (.f64 z (+.f64 z #s(literal 1 binary64))) y)))
(/.f64 x (.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) (/.f64 (.f64 z (+.f64 z #s(literal 1 binary64))) y))))
(/.f64 x (.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 z (+.f64 z #s(literal 1 binary64))) y)) (-.f64 #s(literal 0 binary64) z)))
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 x (/.f64 (*.f64 z (+.f64 z #s(literal 1 binary64))) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 z (+.f64 z #s(literal 1 binary64))) y)) (-.f64 #s(literal 0 binary64) (/.f64 x z))))
(/.f64 (/.f64 x (/.f64 (*.f64 z (+.f64 z #s(literal 1 binary64))) y)) z)
(/.f64 (/.f64 x (.f64 z (/.f64 (.f64 z (+.f64 z #s(literal 1 binary64))) y))) #s(literal 1 binary64))
(/.f64 (/.f64 y z) (/.f64 (*.f64 z (+.f64 z #s(literal 1 binary64))) x))
(/.f64 (/.f64 x z) (/.f64 (*.f64 z (+.f64 z #s(literal 1 binary64))) y))
(/.f64 (/.f64 x (/.f64 z (/.f64 y z))) (+.f64 z #s(literal 1 binary64)))
(/.f64 (.f64 x y) (.f64 z (*.f64 z (+.f64 z #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (.f64 z (/.f64 (.f64 z (+.f64 z #s(literal 1 binary64))) y))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 (*.f64 z (+.f64 z #s(literal 1 binary64))) y))) (-.f64 #s(literal 0 binary64) z))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x z)) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 z (+.f64 z #s(literal 1 binary64))) y)))
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (.f64 z (+.f64 z #s(literal 1 binary64))) (.f64 x y)))
(/.f64 (/.f64 x (/.f64 z y)) (*.f64 z (+.f64 z #s(literal 1 binary64))))
(/.f64 (/.f64 x (*.f64 z (+.f64 z #s(literal 1 binary64)))) (/.f64 z y))
(/.f64 (/.f64 x (*.f64 z z)) (/.f64 (+.f64 z #s(literal 1 binary64)) y))
(/.f64 #s(literal -1 binary64) (/.f64 z (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 (*.f64 z (+.f64 z #s(literal 1 binary64))) y)))))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 (.f64 z (+.f64 z #s(literal 1 binary64))) y) (-.f64 #s(literal 0 binary64) (/.f64 z x))))
(/.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 z (+.f64 z #s(literal 1 binary64))) y)) (/.f64 z x)))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 (.f64 z (+.f64 z #s(literal 1 binary64))) (*.f64 x y)) (-.f64 #s(literal 0 binary64) z)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 z y))) (-.f64 #s(literal 0 binary64) (*.f64 z (+.f64 z #s(literal 1 binary64)))))
(/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (.f64 z (+.f64 z #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (.f64 x y))))
(/.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (*.f64 z z))) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 z #s(literal 1 binary64)) y)))
(/.f64 (/.f64 y (.f64 z (.f64 z (+.f64 z #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) (/.f64 (+.f64 z #s(literal 1 binary64)) (.f64 x y)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z (+.f64 z #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
(/.f64 (/.f64 (/.f64 x z) (*.f64 z (+.f64 z #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) y))
(/.f64 (/.f64 x (.f64 z (.f64 z (+.f64 z #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) y))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 (.f64 z (+.f64 z #s(literal 1 binary64))) y))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) z))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (.f64 z (+.f64 z #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) y))
(/.f64 (.f64 (/.f64 x (.f64 z (+.f64 z #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 z y))
(/.f64 (.f64 (/.f64 x (.f64 z (+.f64 z #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) y))
(/.f64 (.f64 (/.f64 x (.f64 z (+.f64 z #s(literal 1 binary64)))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 z y)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (/.f64 (.f64 z (+.f64 z #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 x y))))
(/.f64 (/.f64 (/.f64 x z) (-.f64 #s(literal 0 binary64) (*.f64 z (+.f64 z #s(literal 1 binary64))))) (/.f64 #s(literal -1 binary64) y))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 (*.f64 z (+.f64 z #s(literal 1 binary64))) y))) #s(literal -1 binary64)) z)
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x z)) (*.f64 z (+.f64 z #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) y))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x z)) (-.f64 #s(literal 0 binary64) (*.f64 z (+.f64 z #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) y))
(pow.f64 (/.f64 z (/.f64 x (/.f64 (*.f64 z (+.f64 z #s(literal 1 binary64))) y))) #s(literal -1 binary64))
(.f64 x (/.f64 y (.f64 z (*.f64 z (+.f64 z #s(literal 1 binary64))))))
(.f64 x (.f64 (-.f64 #s(literal 0 binary64) (/.f64 y (*.f64 z (+.f64 z #s(literal 1 binary64))))) (/.f64 #s(literal -1 binary64) z)))
(.f64 #s(literal 1 binary64) (/.f64 x (.f64 z (/.f64 (*.f64 z (+.f64 z #s(literal 1 binary64))) y))))
(.f64 y (/.f64 (/.f64 x (.f64 z (+.f64 z #s(literal 1 binary64)))) z))
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(/.f64 (-.f64 #s(literal 0 binary64) y) (.f64 (/.f64 (.f64 z z) x) (-.f64 #s(literal 0 binary64) z)))
(/.f64 (-.f64 #s(literal 0 binary64) y) (.f64 z (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x z)) (-.f64 #s(literal 0 binary64) (/.f64 z (/.f64 y z))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 y z)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) x))
(/.f64 (/.f64 y (.f64 z (.f64 z z))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z (/.f64 (/.f64 z y) x)))
(/.f64 (/.f64 x (/.f64 z y)) (*.f64 z z))
(/.f64 (/.f64 x (*.f64 z z)) (/.f64 z y))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (.f64 z (.f64 z (/.f64 (/.f64 z y) x)))))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 (.f64 z z) x) (-.f64 #s(literal 0 binary64) (/.f64 z y))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 z x) (-.f64 #s(literal 0 binary64) (/.f64 z (/.f64 y z)))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 z y))) (-.f64 #s(literal 0 binary64) (*.f64 z z)))
(/.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x y))) (.f64 z (.f64 z z)))
(/.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x y))) (neg.f64 (.f64 #s(literal -1 binary64) (.f64 z (*.f64 z z)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x y)) (.f64 #s(literal -1 binary64) (.f64 z (.f64 z z))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x y)) (.f64 z (-.f64 #s(literal 0 binary64) (*.f64 z z))))
(/.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 #s(literal 0 binary64) (*.f64 z (/.f64 (/.f64 z y) x))))
(/.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (/.f64 z (/.f64 y z)))) (-.f64 #s(literal 0 binary64) z))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x z)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 z (/.f64 y z))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x z)) (/.f64 #s(literal 1 binary64) z)) (-.f64 #s(literal 0 binary64) (/.f64 z y)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 x y)) (.f64 z (.f64 z z)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x z)) #s(literal -1 binary64)) (/.f64 z (/.f64 y z)))
(/.f64 (.f64 (/.f64 x (.f64 z z)) (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) y))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x y))) (.f64 #s(literal -1 binary64) (.f64 z (*.f64 z z))))
(/.f64 (*.f64 (/.f64 x (/.f64 z (/.f64 y z))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) z))
(/.f64 (/.f64 (*.f64 x y) (pow.f64 z #s(literal 3/2 binary64))) (pow.f64 z #s(literal 3/2 binary64)))
(/.f64 (/.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (/.f64 z (/.f64 y z)))) #s(literal -1 binary64)) z)
(pow.f64 (.f64 z (.f64 z (/.f64 (/.f64 z y) x))) #s(literal -1 binary64))
(.f64 x (/.f64 y (.f64 z (*.f64 z z))))
(.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (.f64 z (*.f64 z z)) y)))
(.f64 y (/.f64 (/.f64 x z) (.f64 z z)))
(.f64 y (/.f64 (/.f64 x (.f64 z z)) z))
(.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (.f64 z (*.f64 z z)) x)))
(.f64 y (.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 x z)))
(.f64 y (.f64 (/.f64 x (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)))
(.f64 y (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (.f64 z z) x)))
(.f64 y (/.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) (/.f64 z x)))
(.f64 y (/.f64 x (.f64 z (*.f64 z z))))
(.f64 (/.f64 y z) (/.f64 x (.f64 z z)))
(.f64 (/.f64 y z) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) (/.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 x z) (/.f64 y (.f64 z z)))
(.f64 (/.f64 y (.f64 z z)) (/.f64 x z))
(*.f64 (/.f64 x (/.f64 z (/.f64 y z))) (/.f64 #s(literal 1 binary64) z))
(.f64 (/.f64 x (/.f64 (.f64 z (*.f64 z z)) y)) #s(literal 1 binary64))
(.f64 (.f64 x y) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) z))
(.f64 (.f64 x y) (/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z z)))
(.f64 (.f64 x y) (/.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))))
(.f64 (.f64 x y) (.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) (/.f64 #s(literal 1 binary64) z)))
(.f64 (-.f64 #s(literal 0 binary64) (/.f64 y (.f64 z z))) (-.f64 #s(literal 0 binary64) (/.f64 x z)))
(.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (/.f64 y (.f64 z (*.f64 z z)))))
(.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (.f64 z z) x)))
(.f64 (-.f64 #s(literal 0 binary64) (/.f64 x z)) (-.f64 #s(literal 0 binary64) (/.f64 y (.f64 z z))))
(.f64 (-.f64 #s(literal 0 binary64) (/.f64 y z)) (/.f64 x (-.f64 #s(literal 0 binary64) (.f64 z z))))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 y z)) (/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 z x)))
(.f64 (-.f64 #s(literal 0 binary64) (/.f64 y z)) (.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 x z)))
(.f64 (/.f64 y (.f64 z (*.f64 z z))) x)
(.f64 (/.f64 y (.f64 z (*.f64 z z))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (/.f64 z (/.f64 y z))))
(.f64 (/.f64 x (/.f64 z y)) (/.f64 #s(literal 1 binary64) (.f64 z z)))
(.f64 (/.f64 x (.f64 z z)) (/.f64 y z))
(.f64 #s(literal -1 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) (/.f64 (.f64 z (*.f64 z z)) y))))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 z y))) (/.f64 (/.f64 #s(literal -1 binary64) z) z))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 z y))) (/.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 0 binary64) z)))
(.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 z y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 z z))))
(.f64 (-.f64 #s(literal 0 binary64) (/.f64 y (.f64 z (*.f64 z z)))) (-.f64 #s(literal 0 binary64) x))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 x y)) (/.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (.f64 z (*.f64 z z)))))
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 x (-.f64 #s(literal 0 binary64) (/.f64 z (/.f64 y z)))))
(.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 (.f64 z z) x)))
(*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (/.f64 z (/.f64 y z)))) (/.f64 #s(literal -1 binary64) z))
(.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (.f64 z z))) (-.f64 #s(literal 0 binary64) (/.f64 y z)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) (/.f64 x (/.f64 z y)))
(.f64 (/.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 y (.f64 z (*.f64 z z)))))
(.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 #s(literal 1 binary64) z) (.f64 z z)))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 y (.f64 z (*.f64 z z)))))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 #s(literal -1 binary64) z) (.f64 z z)))
(.f64 (/.f64 (.f64 x y) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) z))
(.f64 (/.f64 (/.f64 x z) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 y (.f64 z z))))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 z x)) (-.f64 #s(literal 0 binary64) (/.f64 y z)))
(.f64 (/.f64 (/.f64 x z) (.f64 z z)) y)
(.f64 (/.f64 (/.f64 x (.f64 z z)) z) y)
(.f64 (/.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (.f64 z z))) z) (/.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)))
(.f64 (/.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (.f64 z z))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 y z)))
(*.f64 (/.f64 x (pow.f64 z #s(literal 3/2 binary64))) (/.f64 y (pow.f64 z #s(literal 3/2 binary64))))
(*.f64 (/.f64 y (pow.f64 z #s(literal 3/2 binary64))) (/.f64 x (pow.f64 z #s(literal 3/2 binary64))))
(.f64 (pow.f64 (.f64 z (.f64 z (/.f64 (/.f64 z y) x))) #s(literal -1/2 binary64)) (pow.f64 (.f64 z (*.f64 z (/.f64 (/.f64 z y) x))) #s(literal -1/2 binary64)))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) (/.f64 x z)) #s(literal -1 binary64)) (/.f64 y (*.f64 z z)))
(.f64 (/.f64 (/.f64 x z) (-.f64 #s(literal 0 binary64) (.f64 z z))) (-.f64 #s(literal 0 binary64) y))
(exp.f64 (.f64 (log.f64 (/.f64 y (.f64 z (*.f64 z z)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (.f64 z (.f64 z z)) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y (.f64 z z)))) (-.f64 #s(literal 0 binary64) (/.f64 (.f64 z (*.f64 z z)) y)))
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 z (.f64 z z)) y)))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 z (.f64 z z)) y)) #s(literal 1 binary64)))
(/.f64 z (/.f64 y (*.f64 z z)))
(/.f64 #s(literal 1 binary64) (/.f64 y (.f64 z (.f64 z z))))
(/.f64 (/.f64 z y) (/.f64 #s(literal 1 binary64) (*.f64 z z)))
(/.f64 (/.f64 (.f64 z (.f64 z z)) y) #s(literal 1 binary64))
(/.f64 (*.f64 z z) (/.f64 y z))
(/.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) (/.f64 y (*.f64 z z))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 z (.f64 z z)) y)) #s(literal -1 binary64))
(/.f64 (.f64 z (.f64 z z)) y)
(/.f64 (/.f64 z (/.f64 y z)) (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y (.f64 z (.f64 z z)))))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 z (*.f64 z z))) (-.f64 #s(literal 0 binary64) y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (-.f64 #s(literal 0 binary64) (/.f64 y z)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 z (/.f64 y z))) (/.f64 #s(literal -1 binary64) z))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) (-.f64 #s(literal 0 binary64) (/.f64 y (*.f64 z z))))
(/.f64 (/.f64 z (/.f64 #s(literal 1 binary64) z)) (/.f64 y z))
(/.f64 (/.f64 (*.f64 z z) (/.f64 #s(literal 1 binary64) z)) y)
(/.f64 (/.f64 (*.f64 z z) #s(literal 1 binary64)) (/.f64 y z))
(/.f64 (.f64 z (-.f64 #s(literal 0 binary64) (.f64 z z))) (-.f64 #s(literal 0 binary64) y))
(/.f64 (/.f64 (*.f64 z z) (/.f64 #s(literal -1 binary64) z)) (-.f64 #s(literal 0 binary64) y))
(pow.f64 (/.f64 (.f64 z (.f64 z z)) y) #s(literal 1 binary64))
(pow.f64 (/.f64 y (.f64 z (.f64 z z))) #s(literal -1 binary64))
(*.f64 z (/.f64 z (/.f64 y z)))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 z (*.f64 z z)) y))
(.f64 (/.f64 z y) (.f64 z z))
(.f64 (/.f64 z y) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 z z)) #s(literal -1 binary64)))
(*.f64 (/.f64 z y) (/.f64 z (/.f64 #s(literal 1 binary64) z)))
(.f64 (/.f64 z y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 z z))))
(.f64 (/.f64 z y) (/.f64 (.f64 z z) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 z (*.f64 z z)) y) #s(literal 1 binary64))
(.f64 (.f64 z z) (/.f64 z y))
(*.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) (/.f64 z (/.f64 y z))))
(*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 z (/.f64 y z))) #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) (-.f64 #s(literal 0 binary64) (.f64 z z)))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) (/.f64 z (/.f64 #s(literal -1 binary64) z)))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) (/.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 z (/.f64 y z)) z)
(*.f64 (/.f64 z (/.f64 y z)) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 z (*.f64 z z)))
(.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (/.f64 #s(literal 1 binary64) (.f64 z z))))
(.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (.f64 z z) (/.f64 #s(literal 1 binary64) z)))
(.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (.f64 z (*.f64 z z)) y)))
(.f64 (/.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1 binary64) (.f64 z (.f64 z z))))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z (/.f64 y z))) (-.f64 #s(literal 0 binary64) z))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z (/.f64 y z))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z (/.f64 y z))) (/.f64 (-.f64 #s(literal 0 binary64) z) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (/.f64 z (/.f64 y z)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 z (/.f64 y z))))
(*.f64 (/.f64 z (/.f64 #s(literal 1 binary64) z)) (/.f64 z y))
(*.f64 (/.f64 z (/.f64 #s(literal -1 binary64) z)) (-.f64 #s(literal 0 binary64) (/.f64 z y)))
(*.f64 (/.f64 z #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 z (/.f64 y z))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) z) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 z (/.f64 y z))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (/.f64 (.f64 z z) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 1 binary64) z)))
(.f64 (/.f64 (.f64 z z) (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (/.f64 z (/.f64 y z)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) z))
(.f64 (/.f64 (.f64 z z) #s(literal 1 binary64)) (/.f64 z y))
(.f64 (pow.f64 (/.f64 y (.f64 z (.f64 z z))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (.f64 z (*.f64 z z))) #s(literal -1/2 binary64)))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) (/.f64 z (/.f64 y z))) #s(literal -1 binary64)) z)
(.f64 (/.f64 (.f64 z z) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 z y)))

simplify231.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

3658×	`-lowering-.f32`
3658×	`-lowering-.f64`
1454×	`div-sub`
1448×	`+-lowering-+.f64`
1448×	`+-lowering-+.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	91	2577
1	288	2312
2	865	2248
3	4206	2222
0	8374	2222

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 372

Calls

Call 1

Inputs
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (pow z 2))
(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
(/ (* x y) (pow z 3))
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 3))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 3))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 3))
(/ (* x y) (pow z 3))
(* -1 (/ (+ (* -1 (* x y)) (/ (* x y) z)) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (/ (* x y) z) (* x y)) z))) (pow z 3)))
(* -1 (/ (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x y) z) (* x y)) z)) (* x y)) z))) (pow z 3)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* (pow z 2) (+ 1 z)))
(/ (* x y) (* z (+ 1 z)))
(/ (* x y) (* z (+ 1 z)))
(/ (* x y) (* z (+ 1 z)))
(/ (* x y) (* z (+ 1 z)))
(/ (* x y) (* z (+ 1 z)))
(/ (* x y) (* z (+ 1 z)))
(/ (* x y) (* z (+ 1 z)))
(/ (* x y) (* z (+ 1 z)))
(/ (* x y) (* z (+ 1 z)))
(/ (* x y) (* z (+ 1 z)))
(/ (* x y) (* z (+ 1 z)))
(/ (* x y) (* z (+ 1 z)))
(/ (* x y) z)
(/ (+ (* -1 (* x (* y z))) (* x y)) z)
(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) z)
(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) z)
(/ (* x y) (pow z 2))
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 2))
(/ (- (+ (* x y) (/ (* x y) (pow z 2))) (/ (* x y) z)) (pow z 2))
(/ (- (+ (* -1 (/ (* x y) (pow z 3))) (* x y)) (+ (* -1 (/ (* x y) (pow z 2))) (/ (* x y) z))) (pow z 2))
(/ (* x y) (pow z 2))
(/ (+ (* -1 (/ (* x y) z)) (* x y)) (pow z 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (* x y) z)) (* x y)) z)) (* x y)) (pow z 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* x y) z)) (* x y)) z)) (* x y)) z)) (* x y)) (pow z 2))
(/ (* x y) (* z (+ 1 z)))
(/ (* x y) (* z (+ 1 z)))
(/ (* x y) (* z (+ 1 z)))
(/ (* x y) (* z (+ 1 z)))
(/ (* x y) (* z (+ 1 z)))
(/ (* x y) (* z (+ 1 z)))
(/ (* x y) (* z (+ 1 z)))
(/ (* x y) (* z (+ 1 z)))
(/ (* x y) (* z (+ 1 z)))
(/ (* x y) (* z (+ 1 z)))
(/ (* x y) (* z (+ 1 z)))
(/ (* x y) (* z (+ 1 z)))
(/ z y)
(* z (+ (/ 1 y) (/ z y)))
(* z (+ (/ 1 y) (/ z y)))
(* z (+ (/ 1 y) (/ z y)))
(/ (pow z 2) y)
(* (pow z 2) (+ (/ 1 y) (/ 1 (* y z))))
(* (pow z 2) (+ (/ 1 y) (/ 1 (* y z))))
(* (pow z 2) (+ (/ 1 y) (/ 1 (* y z))))
(/ (pow z 2) y)
(* (pow z 2) (+ (/ 1 y) (/ 1 (* y z))))
(* (pow z 2) (+ (/ 1 y) (/ 1 (* y z))))
(* (pow z 2) (+ (/ 1 y) (/ 1 (* y z))))
(/ (* z (+ 1 z)) y)
(/ (* z (+ 1 z)) y)
(/ (* z (+ 1 z)) y)
(/ (* z (+ 1 z)) y)
(/ (* z (+ 1 z)) y)
(/ (* z (+ 1 z)) y)
(/ (* z (+ 1 z)) y)
(/ (* z (+ 1 z)) y)
(/ (* z (+ 1 z)) y)
(/ (* z (+ 1 z)) y)
(/ (* z (+ 1 z)) y)
(/ (* z (+ 1 z)) y)
z
(* z (+ 1 z))
(* z (+ 1 z))
(* z (+ 1 z))
(pow z 2)
(* (pow z 2) (+ 1 (/ 1 z)))
(* (pow z 2) (+ 1 (/ 1 z)))
(* (pow z 2) (+ 1 (/ 1 z)))
(pow z 2)
(* (pow z 2) (+ 1 (/ 1 z)))
(* (pow z 2) (+ 1 (/ 1 z)))
(* (pow z 2) (+ 1 (/ 1 z)))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
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(/ (* x y) (pow z 2))
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(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ (* x y) (pow z 2))
(/ y z)
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(/ (* x y) (pow z 2))
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(/ (* x y) (pow z 2))
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(/ (* x y) (pow z 2))
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(/ (* x y) (pow z 2))
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(/ y (pow z 2))
(/ y (pow z 2))
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(/ (* x y) (pow z 2))
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(/ z y)
(/ z y)
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(/ (* x y) (pow z 3))
(/ (* x y) (pow z 3))
(/ (* x y) (pow z 3))
(/ (* x y) (pow z 3))
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(/ (* x y) (pow z 3))
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(/ (* x y) (pow z 3))
(/ (* x y) (pow z 3))
(/ (* x y) (pow z 3))
(/ (* x y) (pow z 3))
(/ (* x y) (pow z 3))
(/ (* x y) (pow z 3))
(/ (* x y) (pow z 3))
(/ (* x y) (pow z 3))
(/ (* x y) (pow z 3))
(/ (* x y) (pow z 3))
(/ (* x y) (pow z 3))
(/ (* x y) (pow z 3))
(/ (* x y) (pow z 3))
(/ (* x y) (pow z 3))
(/ (* x y) (pow z 3))
(/ (* x y) (pow z 3))
(/ (* x y) (pow z 3))
(/ (* x y) (pow z 3))
(/ (* x y) (pow z 3))
(/ (* x y) (pow z 3))
(/ (* x y) (pow z 3))
(/ (* x y) (pow z 3))
(/ (* x y) (pow z 3))
(/ (* x y) (pow z 3))
(/ (pow z 3) y)
(/ (pow z 3) y)
(/ (pow z 3) y)
(/ (pow z 3) y)
(/ (pow z 3) y)
(/ (pow z 3) y)
(/ (pow z 3) y)
(/ (pow z 3) y)
(/ (pow z 3) y)
(/ (pow z 3) y)
(/ (pow z 3) y)
(/ (pow z 3) y)
(/ (pow z 3) y)
(/ (pow z 3) y)
(/ (pow z 3) y)
(/ (pow z 3) y)
(/ (pow z 3) y)
(/ (pow z 3) y)
(/ (pow z 3) y)
(/ (pow z 3) y)
(/ (pow z 3) y)
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(/ (pow z 3) y)
(/ (pow z 3) y)

Outputs
(/ (* x y) (* (pow z 2) (+ 1 z)))
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(/ (* x y) (* (pow z 2) (+ 1 z)))
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(/.f64 (.f64 x y) (.f64 z (*.f64 z (+.f64 z #s(literal 1 binary64)))))
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(/.f64 (.f64 x y) (.f64 z (*.f64 z (+.f64 z #s(literal 1 binary64)))))
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(/ (* x y) (* (pow z 2) (+ 1 z)))
(/.f64 (.f64 x y) (.f64 z (*.f64 z (+.f64 z #s(literal 1 binary64)))))
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(/.f64 (.f64 x y) (.f64 z (*.f64 z (+.f64 z #s(literal 1 binary64)))))
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(/ (* x y) (pow z 2))
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(/ (+ (* -1 (* x (* y z))) (* x y)) (pow z 2))
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(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) (pow z 2))
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(/ (+ (* x y) (* z (- (* z (- (* -1 (* x (* y z))) (* -1 (* x y)))) (* x y)))) (pow z 2))
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(/.f64 (.f64 (.f64 x (-.f64 (/.f64 y z) y)) (+.f64 (/.f64 #s(literal -1 binary64) (.f64 z z)) #s(literal -1 binary64))) (.f64 z (*.f64 z z)))
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(/.f64 (.f64 x (+.f64 y (/.f64 (-.f64 (/.f64 y z) y) z))) (.f64 z (*.f64 z z)))
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(/.f64 (.f64 (.f64 x (-.f64 (/.f64 y z) y)) (+.f64 (/.f64 #s(literal -1 binary64) (.f64 z z)) #s(literal -1 binary64))) (.f64 z (*.f64 z z)))
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(/ (* x y) z)
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(/ (+ (* x y) (* z (- (* x (* y z)) (* x y)))) z)
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(/ (* x y) (pow z 2))
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z
(* z (+ 1 z))
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(pow z 2)
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(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 x y) z) z)
(/ (* x y) (pow z 2))
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(/ (* x y) (pow z 2))
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(/ (* x y) (pow z 2))
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(/ (* x y) (pow z 2))
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(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 x y) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 x y) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 x y) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 x y) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 x y) z) z)
(/ (* x y) (pow z 2))
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(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 x y) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 x y) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 x y) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 x y) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 x y) z) z)
(/ (* x y) (pow z 2))
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(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 x y) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 x y) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 x y) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 x y) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 x y) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 x y) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 x y) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 x y) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 x y) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 x y) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 x y) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 x y) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 x y) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 x y) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 x y) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 x y) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 x y) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 x y) z) z)
(/ y z)
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(/ y z)
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(/.f64 y z)
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(/ x z)
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(/ x z)
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(/ x z)
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(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 x y) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 x y) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 x y) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 x y) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 x y) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 x y) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 x y) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 x y) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 x y) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 x y) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 x y) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 x y) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 x y) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 x y) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 x y) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 x y) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 x y) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 x y) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 x y) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 x y) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 x y) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 x y) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 x y) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 x y) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 x y) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 x y) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 x y) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 x y) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 x y) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 x y) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 x y) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 x y) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 x y) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 x y) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 x y) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 x y) z) z)
(/ y (pow z 2))
(/.f64 y (*.f64 z z))
(/ y (pow z 2))
(/.f64 y (*.f64 z z))
(/ y (pow z 2))
(/.f64 y (*.f64 z z))
(/ y (pow z 2))
(/.f64 y (*.f64 z z))
(/ y (pow z 2))
(/.f64 y (*.f64 z z))
(/ y (pow z 2))
(/.f64 y (*.f64 z z))
(/ y (pow z 2))
(/.f64 y (*.f64 z z))
(/ y (pow z 2))
(/.f64 y (*.f64 z z))
(/ y (pow z 2))
(/.f64 y (*.f64 z z))
(/ y (pow z 2))
(/.f64 y (*.f64 z z))
(/ y (pow z 2))
(/.f64 y (*.f64 z z))
(/ y (pow z 2))
(/.f64 y (*.f64 z z))
(/ y (pow z 2))
(/.f64 y (*.f64 z z))
(/ y (pow z 2))
(/.f64 y (*.f64 z z))
(/ y (pow z 2))
(/.f64 y (*.f64 z z))
(/ y (pow z 2))
(/.f64 y (*.f64 z z))
(/ y (pow z 2))
(/.f64 y (*.f64 z z))
(/ y (pow z 2))
(/.f64 y (*.f64 z z))
(/ y (pow z 2))
(/.f64 y (*.f64 z z))
(/ y (pow z 2))
(/.f64 y (*.f64 z z))
(/ y (pow z 2))
(/.f64 y (*.f64 z z))
(/ y (pow z 2))
(/.f64 y (*.f64 z z))
(/ y (pow z 2))
(/.f64 y (*.f64 z z))
(/ y (pow z 2))
(/.f64 y (*.f64 z z))
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 x y) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 x y) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 x y) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 x y) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 x y) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 x y) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 x y) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 x y) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 x y) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 x y) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 x y) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 x y) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 x y) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 x y) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 x y) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 x y) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 x y) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 x y) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 x y) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 x y) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 x y) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 x y) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 x y) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 x y) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 x y) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 x y) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 x y) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 x y) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 x y) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 x y) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 x y) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 x y) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 x y) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 x y) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 x y) z) z)
(/ (* x y) (pow z 2))
(/.f64 (/.f64 (*.f64 x y) z) z)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
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(/ z y)
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(/ z y)
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(/ z y)
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(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ (* x y) (pow z 3))
(/.f64 (.f64 x y) (.f64 z (*.f64 z z)))
(/ (* x y) (pow z 3))
(/.f64 (.f64 x y) (.f64 z (*.f64 z z)))
(/ (* x y) (pow z 3))
(/.f64 (.f64 x y) (.f64 z (*.f64 z z)))
(/ (* x y) (pow z 3))
(/.f64 (.f64 x y) (.f64 z (*.f64 z z)))
(/ (* x y) (pow z 3))
(/.f64 (.f64 x y) (.f64 z (*.f64 z z)))
(/ (* x y) (pow z 3))
(/.f64 (.f64 x y) (.f64 z (*.f64 z z)))
(/ (* x y) (pow z 3))
(/.f64 (.f64 x y) (.f64 z (*.f64 z z)))
(/ (* x y) (pow z 3))
(/.f64 (.f64 x y) (.f64 z (*.f64 z z)))
(/ (* x y) (pow z 3))
(/.f64 (.f64 x y) (.f64 z (*.f64 z z)))
(/ (* x y) (pow z 3))
(/.f64 (.f64 x y) (.f64 z (*.f64 z z)))
(/ (* x y) (pow z 3))
(/.f64 (.f64 x y) (.f64 z (*.f64 z z)))
(/ (* x y) (pow z 3))
(/.f64 (.f64 x y) (.f64 z (*.f64 z z)))
(/ (* x y) (pow z 3))
(/.f64 (.f64 x y) (.f64 z (*.f64 z z)))
(/ (* x y) (pow z 3))
(/.f64 (.f64 x y) (.f64 z (*.f64 z z)))
(/ (* x y) (pow z 3))
(/.f64 (.f64 x y) (.f64 z (*.f64 z z)))
(/ (* x y) (pow z 3))
(/.f64 (.f64 x y) (.f64 z (*.f64 z z)))
(/ (* x y) (pow z 3))
(/.f64 (.f64 x y) (.f64 z (*.f64 z z)))
(/ (* x y) (pow z 3))
(/.f64 (.f64 x y) (.f64 z (*.f64 z z)))
(/ (* x y) (pow z 3))
(/.f64 (.f64 x y) (.f64 z (*.f64 z z)))
(/ (* x y) (pow z 3))
(/.f64 (.f64 x y) (.f64 z (*.f64 z z)))
(/ (* x y) (pow z 3))
(/.f64 (.f64 x y) (.f64 z (*.f64 z z)))
(/ (* x y) (pow z 3))
(/.f64 (.f64 x y) (.f64 z (*.f64 z z)))
(/ (* x y) (pow z 3))
(/.f64 (.f64 x y) (.f64 z (*.f64 z z)))
(/ (* x y) (pow z 3))
(/.f64 (.f64 x y) (.f64 z (*.f64 z z)))
(/ (* x y) (pow z 3))
(/.f64 (.f64 x y) (.f64 z (*.f64 z z)))
(/ (* x y) (pow z 3))
(/.f64 (.f64 x y) (.f64 z (*.f64 z z)))
(/ (* x y) (pow z 3))
(/.f64 (.f64 x y) (.f64 z (*.f64 z z)))
(/ (* x y) (pow z 3))
(/.f64 (.f64 x y) (.f64 z (*.f64 z z)))
(/ (* x y) (pow z 3))
(/.f64 (.f64 x y) (.f64 z (*.f64 z z)))
(/ (* x y) (pow z 3))
(/.f64 (.f64 x y) (.f64 z (*.f64 z z)))
(/ (* x y) (pow z 3))
(/.f64 (.f64 x y) (.f64 z (*.f64 z z)))
(/ (* x y) (pow z 3))
(/.f64 (.f64 x y) (.f64 z (*.f64 z z)))
(/ (* x y) (pow z 3))
(/.f64 (.f64 x y) (.f64 z (*.f64 z z)))
(/ (* x y) (pow z 3))
(/.f64 (.f64 x y) (.f64 z (*.f64 z z)))
(/ (* x y) (pow z 3))
(/.f64 (.f64 x y) (.f64 z (*.f64 z z)))
(/ (* x y) (pow z 3))
(/.f64 (.f64 x y) (.f64 z (*.f64 z z)))
(/ (pow z 3) y)
(/.f64 (.f64 z (.f64 z z)) y)
(/ (pow z 3) y)
(/.f64 (.f64 z (.f64 z z)) y)
(/ (pow z 3) y)
(/.f64 (.f64 z (.f64 z z)) y)
(/ (pow z 3) y)
(/.f64 (.f64 z (.f64 z z)) y)
(/ (pow z 3) y)
(/.f64 (.f64 z (.f64 z z)) y)
(/ (pow z 3) y)
(/.f64 (.f64 z (.f64 z z)) y)
(/ (pow z 3) y)
(/.f64 (.f64 z (.f64 z z)) y)
(/ (pow z 3) y)
(/.f64 (.f64 z (.f64 z z)) y)
(/ (pow z 3) y)
(/.f64 (.f64 z (.f64 z z)) y)
(/ (pow z 3) y)
(/.f64 (.f64 z (.f64 z z)) y)
(/ (pow z 3) y)
(/.f64 (.f64 z (.f64 z z)) y)
(/ (pow z 3) y)
(/.f64 (.f64 z (.f64 z z)) y)
(/ (pow z 3) y)
(/.f64 (.f64 z (.f64 z z)) y)
(/ (pow z 3) y)
(/.f64 (.f64 z (.f64 z z)) y)
(/ (pow z 3) y)
(/.f64 (.f64 z (.f64 z z)) y)
(/ (pow z 3) y)
(/.f64 (.f64 z (.f64 z z)) y)
(/ (pow z 3) y)
(/.f64 (.f64 z (.f64 z z)) y)
(/ (pow z 3) y)
(/.f64 (.f64 z (.f64 z z)) y)
(/ (pow z 3) y)
(/.f64 (.f64 z (.f64 z z)) y)
(/ (pow z 3) y)
(/.f64 (.f64 z (.f64 z z)) y)
(/ (pow z 3) y)
(/.f64 (.f64 z (.f64 z z)) y)
(/ (pow z 3) y)
(/.f64 (.f64 z (.f64 z z)) y)
(/ (pow z 3) y)
(/.f64 (.f64 z (.f64 z z)) y)
(/ (pow z 3) y)
(/.f64 (.f64 z (.f64 z z)) y)

eval178.0ms (2%)

Compiler: Compiled 17781 to 2014 computations (88.7% saved)

prune172.0ms (1.9%)

Pruning

18 alts after pruning (8 fresh and 10 done)

	Pruned	Kept	Total
New	1526	2	1528
Fresh	1	6	7
Picked	0	5	5
Done	0	5	5
Total	1527	18	1545

Accuracy

100.0%

Counts

1545 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	73.5%	(/.f64 (/.f64 y z) (/.f64 z x))
	60.4%	(/.f64 (/.f64 y z) (*.f64 (/.f64 z x) z))
✓	94.2%	(/.f64 (/.f64 x (/.f64 (*.f64 z (+.f64 z #s(literal 1 binary64))) y)) z)
	62.7%	(/.f64 (/.f64 x (/.f64 z (/.f64 y z))) z)
✓	73.2%	(/.f64 (/.f64 x (/.f64 z y)) z)
	72.7%	(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y z))) z)
✓	74.0%	(/.f64 (/.f64 x z) (/.f64 z y))
✓	62.2%	(/.f64 (/.f64 x z) (*.f64 (/.f64 z y) z))
	62.7%	(/.f64 (*.f64 x (/.f64 (/.f64 y z) z)) z)
✓	70.9%	(/.f64 (.f64 x y) (.f64 z z))
	80.5%	(/.f64 y (*.f64 (/.f64 z x) z))
✓	70.8%	(/.f64 x (/.f64 (*.f64 z z) y))
✓	61.4%	(/.f64 x (/.f64 z (/.f64 (/.f64 y z) z)))
✓	68.6%	(*.f64 (/.f64 (/.f64 y z) z) x)
	80.5%	(*.f64 (/.f64 (/.f64 x z) z) y)
	70.6%	(.f64 (/.f64 y (.f64 z z)) x)
✓	73.5%	(*.f64 (/.f64 y z) (/.f64 x z))
✓	76.1%	(.f64 (/.f64 x (.f64 z z)) y)

Compiler

Compiled 503 to 196 computations (61% saved)

regimes88.0ms (1%)

Counts

34 → 1

Calls

Call 1

Inputs
(.f64 (/.f64 x (.f64 z z)) y)
(*.f64 (/.f64 y z) (/.f64 x z))
(.f64 (/.f64 y (.f64 z z)) x)
(*.f64 (/.f64 (/.f64 x z) z) y)
(*.f64 (/.f64 (/.f64 y z) z) x)
(/.f64 x (/.f64 (*.f64 z z) y))
(/.f64 y (*.f64 (/.f64 z x) z))
(/.f64 y (/.f64 z (/.f64 x z)))
(/.f64 (.f64 x y) (.f64 z z))
(/.f64 (*.f64 x (/.f64 y z)) z)
(/.f64 (/.f64 x z) (/.f64 z y))
(/.f64 (/.f64 x (/.f64 z y)) z)
(/.f64 (/.f64 y z) (/.f64 z x))
(/.f64 x (/.f64 z (/.f64 (/.f64 y z) z)))
(/.f64 x (/.f64 (.f64 z (.f64 z z)) y))
(/.f64 (.f64 x y) (.f64 z (*.f64 z z)))
(/.f64 (*.f64 x (/.f64 (/.f64 y z) z)) z)
(/.f64 (/.f64 x z) (*.f64 (/.f64 z y) z))
(/.f64 (/.f64 x z) (/.f64 z (/.f64 y z)))
(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y z))) z)
(/.f64 (/.f64 x (/.f64 z (/.f64 y z))) z)
(/.f64 (/.f64 y z) (*.f64 (/.f64 z x) z))
(/.f64 (/.f64 (/.f64 x (/.f64 z y)) z) z)
(/.f64 (/.f64 (/.f64 y z) z) (/.f64 z x))
(.f64 (/.f64 y (.f64 z (+.f64 z #s(literal 1 binary64)))) (/.f64 x z))
(/.f64 x (/.f64 (.f64 z (.f64 z (+.f64 z #s(literal 1 binary64)))) y))
(/.f64 (.f64 x y) (.f64 z (*.f64 z (+.f64 z #s(literal 1 binary64)))))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
(/.f64 (/.f64 x z) (*.f64 (/.f64 (+.f64 z #s(literal 1 binary64)) y) z))
(/.f64 (/.f64 x (/.f64 (*.f64 z (+.f64 z #s(literal 1 binary64))) y)) z)
(/.f64 (/.f64 y z) (/.f64 (*.f64 z (+.f64 z #s(literal 1 binary64))) x))
(/.f64 (/.f64 y (+.f64 z #s(literal 1 binary64))) (*.f64 (/.f64 z x) z))
(.f64 y (.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) (*.f64 z (+.f64 z #s(literal 1 binary64))))))
(/.f64 (.f64 #s(literal 1 binary64) x) (.f64 (/.f64 (+.f64 z #s(literal 1 binary64)) y) (*.f64 z z)))

Outputs
(/.f64 (/.f64 x z) (*.f64 (/.f64 (+.f64 z #s(literal 1 binary64)) y) z))

Calls

6 calls:

29.0ms	(*.f64 x y)
21.0ms	y
9.0ms	z
9.0ms	x
8.0ms	(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
97.2%	1	`x`
97.2%	1	`y`
97.2%	1	`z`
97.2%	1	`(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))`
97.2%	1	`(*.f64 x y)`
97.2%	1	`(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))`

Compiler

Compiled 42 to 29 computations (31% saved)

regimes67.0ms (0.7%)

Counts

28 → 3

Calls

Call 1

Inputs
(.f64 (/.f64 x (.f64 z z)) y)
(*.f64 (/.f64 y z) (/.f64 x z))
(.f64 (/.f64 y (.f64 z z)) x)
(*.f64 (/.f64 (/.f64 x z) z) y)
(*.f64 (/.f64 (/.f64 y z) z) x)
(/.f64 x (/.f64 (*.f64 z z) y))
(/.f64 y (*.f64 (/.f64 z x) z))
(/.f64 y (/.f64 z (/.f64 x z)))
(/.f64 (.f64 x y) (.f64 z z))
(/.f64 (*.f64 x (/.f64 y z)) z)
(/.f64 (/.f64 x z) (/.f64 z y))
(/.f64 (/.f64 x (/.f64 z y)) z)
(/.f64 (/.f64 y z) (/.f64 z x))
(/.f64 x (/.f64 z (/.f64 (/.f64 y z) z)))
(/.f64 x (/.f64 (.f64 z (.f64 z z)) y))
(/.f64 (.f64 x y) (.f64 z (*.f64 z z)))
(/.f64 (*.f64 x (/.f64 (/.f64 y z) z)) z)
(/.f64 (/.f64 x z) (*.f64 (/.f64 z y) z))
(/.f64 (/.f64 x z) (/.f64 z (/.f64 y z)))
(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y z))) z)
(/.f64 (/.f64 x (/.f64 z (/.f64 y z))) z)
(/.f64 (/.f64 y z) (*.f64 (/.f64 z x) z))
(/.f64 (/.f64 (/.f64 x (/.f64 z y)) z) z)
(/.f64 (/.f64 (/.f64 y z) z) (/.f64 z x))
(.f64 (/.f64 y (.f64 z (+.f64 z #s(literal 1 binary64)))) (/.f64 x z))
(/.f64 x (/.f64 (.f64 z (.f64 z (+.f64 z #s(literal 1 binary64)))) y))
(/.f64 (.f64 x y) (.f64 z (*.f64 z (+.f64 z #s(literal 1 binary64)))))
(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))

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

Calls

6 calls:

27.0ms	(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))
9.0ms	x
8.0ms	y
8.0ms	(*.f64 x y)
8.0ms	z

Results

Accuracy	Segments	Branch
98.9%	3	`z`
93.5%	1	`x`
93.5%	1	`y`
93.5%	1	`(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))`
93.5%	1	`(*.f64 x y)`
98.9%	3	`(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))`

Compiler

Compiled 42 to 29 computations (31% saved)

regimes8.0ms (0.1%)

Counts

18 → 3

Calls

Call 1

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

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
98.8%	3	`z`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes6.0ms (0.1%)

Counts

17 → 3

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
98.7%	3	`z`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes6.0ms (0.1%)

Counts

16 → 3

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
97.4%	3	`z`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes20.0ms (0.2%)

Counts

13 → 1

Calls

Call 1

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

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

Calls

4 calls:

7.0ms	z
4.0ms	x
4.0ms	y
4.0ms	(*.f64 x y)

Results

Accuracy	Segments	Branch
80.5%	1	`y`
80.5%	1	`x`
80.5%	1	`(*.f64 x y)`
80.5%	1	`z`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes12.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	z
3.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
80.5%	1	`x`
80.5%	1	`y`
80.5%	1	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes6.0ms (0.1%)

Counts

3 → 2

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	x
2.0ms	z
2.0ms	y

Results

Accuracy	Segments	Branch
79.5%	2	`y`
80.0%	3	`z`
78.8%	2	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

1.0ms	z
1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
76.1%	1	`z`
76.1%	1	`x`
76.1%	1	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.4508999974440364e-5	546491124.3121481
0.0ms	-4.823921143791554e+73	0.0

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch41.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	0.006649435705875996	817.2419931466438
18.0ms	-3.640268351535624e+24	-1.0185867985533488e-13

Results

23.0ms

320×

valid

Compiler

Compiled 500 to 314 computations (37.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 7.0ms (60.8% of total)

ival-div: 2.0ms (17.4% of total)

ival-add: 2.0ms (17.4% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch44.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	0.006649435705875996	817.2419931466438
21.0ms	-3.640268351535624e+24	-1.0185867985533488e-13

Results

23.0ms

320×

valid

Compiler

Compiled 500 to 314 computations (37.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 7.0ms (61.9% of total)

ival-div: 2.0ms (17.7% of total)

ival-add: 2.0ms (17.7% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch41.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	0.006649435705875996	817.2419931466438
21.0ms	-3.640268351535624e+24	-1.0185867985533488e-13

Results

26.0ms

320×

valid

Compiler

Compiled 500 to 314 computations (37.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 7.0ms (49.5% of total)

ival-div: 5.0ms (35.3% of total)

ival-add: 2.0ms (14.1% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch13.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	1.823593550363612e+80	7.873605653359142e+81

Results

8.0ms

112×

valid

Compiler

Compiled 174 to 112 computations (35.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-mult: 2.0ms (50.6% of total)

ival-div: 1.0ms (25.3% of total)

ival-add: 1.0ms (25.3% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative_binary64`
4×	`if-if-or-not_binary32`
2×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	178
1	64	178

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (/.f64 x z) (*.f64 (/.f64 (+.f64 z #s(literal 1 binary64)) y) z))
(if (<=.f64 (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal -39999999999999999321347871798453031921236320962738625287353816798266916864 binary64)) (/.f64 (.f64 x (/.f64 (/.f64 y z) z)) z) (if (<=.f64 (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal 7378697629483821/147573952589676412928 binary64)) (/.f64 y (.f64 (/.f64 z x) z)) (/.f64 (/.f64 x z) (/.f64 z (/.f64 y z)))))
(if (<=.f64 z #s(literal -1 binary64)) (/.f64 (.f64 x (/.f64 (/.f64 y z) z)) z) (if (<=.f64 z #s(literal 1 binary64)) (/.f64 y (.f64 (/.f64 z x) z)) (/.f64 (/.f64 x z) (*.f64 (/.f64 z y) z))))
(if (<=.f64 z #s(literal -1 binary64)) (/.f64 (.f64 x (/.f64 (/.f64 y z) z)) z) (if (<=.f64 z #s(literal 1 binary64)) (/.f64 y (.f64 (/.f64 z x) z)) (/.f64 (*.f64 x (/.f64 (/.f64 y z) z)) z)))
(if (<=.f64 z #s(literal -1 binary64)) (/.f64 x (/.f64 z (/.f64 (/.f64 y z) z))) (if (<=.f64 z #s(literal 1 binary64)) (/.f64 y (*.f64 (/.f64 z x) z)) (/.f64 x (/.f64 z (/.f64 (/.f64 y z) z)))))
(/.f64 y (*.f64 (/.f64 z x) z))
(*.f64 (/.f64 (/.f64 x z) z) y)
(if (<=.f64 y #s(literal 5199999999999999843415275461999318333067883335916793594760219726757800582181814272 binary64)) (.f64 (/.f64 y z) (/.f64 x z)) (.f64 (/.f64 x (*.f64 z z)) y))
(.f64 (/.f64 x (.f64 z z)) y)

Outputs
(/.f64 (/.f64 x z) (*.f64 (/.f64 (+.f64 z #s(literal 1 binary64)) y) z))
(/.f64 (/.f64 x z) (*.f64 z (/.f64 (+.f64 z #s(literal 1 binary64)) y)))
(if (<=.f64 (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal -39999999999999999321347871798453031921236320962738625287353816798266916864 binary64)) (/.f64 (.f64 x (/.f64 (/.f64 y z) z)) z) (if (<=.f64 (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal 7378697629483821/147573952589676412928 binary64)) (/.f64 y (.f64 (/.f64 z x) z)) (/.f64 (/.f64 x z) (/.f64 z (/.f64 y z)))))
(if (<=.f64 (.f64 (+.f64 z #s(literal 1 binary64)) (.f64 z z)) #s(literal -39999999999999999321347871798453031921236320962738625287353816798266916864 binary64)) (/.f64 (.f64 x (/.f64 (/.f64 y z) z)) z) (if (<=.f64 (.f64 (+.f64 z #s(literal 1 binary64)) (.f64 z z)) #s(literal 7378697629483821/147573952589676412928 binary64)) (/.f64 y (.f64 z (/.f64 z x))) (/.f64 (/.f64 x z) (/.f64 z (/.f64 y z)))))
(if (<=.f64 z #s(literal -1 binary64)) (/.f64 (.f64 x (/.f64 (/.f64 y z) z)) z) (if (<=.f64 z #s(literal 1 binary64)) (/.f64 y (.f64 (/.f64 z x) z)) (/.f64 (/.f64 x z) (*.f64 (/.f64 z y) z))))
(if (<=.f64 z #s(literal -1 binary64)) (/.f64 (.f64 x (/.f64 (/.f64 y z) z)) z) (if (<=.f64 z #s(literal 1 binary64)) (/.f64 y (.f64 z (/.f64 z x))) (/.f64 (/.f64 x z) (*.f64 z (/.f64 z y)))))
(if (<=.f64 z #s(literal -1 binary64)) (/.f64 (.f64 x (/.f64 (/.f64 y z) z)) z) (if (<=.f64 z #s(literal 1 binary64)) (/.f64 y (.f64 (/.f64 z x) z)) (/.f64 (*.f64 x (/.f64 (/.f64 y z) z)) z)))
(if (<=.f64 z #s(literal -1 binary64)) (/.f64 (.f64 x (/.f64 (/.f64 y z) z)) z) (if (<=.f64 z #s(literal 1 binary64)) (/.f64 y (.f64 z (/.f64 z x))) (/.f64 (*.f64 x (/.f64 (/.f64 y z) z)) z)))
(if (<=.f64 z #s(literal -1 binary64)) (/.f64 x (/.f64 z (/.f64 (/.f64 y z) z))) (if (<=.f64 z #s(literal 1 binary64)) (/.f64 y (*.f64 (/.f64 z x) z)) (/.f64 x (/.f64 z (/.f64 (/.f64 y z) z)))))
(if (<=.f64 z #s(literal -1 binary64)) (/.f64 x (/.f64 z (/.f64 (/.f64 y z) z))) (if (<=.f64 z #s(literal 1 binary64)) (/.f64 y (*.f64 z (/.f64 z x))) (/.f64 x (/.f64 z (/.f64 (/.f64 y z) z)))))
(/.f64 y (*.f64 (/.f64 z x) z))
(/.f64 y (*.f64 z (/.f64 z x)))
(*.f64 (/.f64 (/.f64 x z) z) y)
(*.f64 y (/.f64 (/.f64 x z) z))
(if (<=.f64 y #s(literal 5199999999999999843415275461999318333067883335916793594760219726757800582181814272 binary64)) (.f64 (/.f64 y z) (/.f64 x z)) (.f64 (/.f64 x (*.f64 z z)) y))
(if (<=.f64 y #s(literal 5199999999999999843415275461999318333067883335916793594760219726757800582181814272 binary64)) (.f64 (/.f64 x z) (/.f64 y z)) (.f64 y (/.f64 x (*.f64 z z))))
(.f64 (/.f64 x (.f64 z z)) y)
(.f64 y (/.f64 x (.f64 z z)))

soundness2.1s (23.2%)

Rules

4730×	`-lowering-.f32`
4730×	`-lowering-.f64`
4476×	`-lowering-.f32`
4476×	`-lowering-.f64`
4254×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	101
1	135	95
2	958	95
3	7795	95
0	8111	95
0	9	10
1	30	10
2	82	10
3	198	10
4	261	10
5	265	10
0	265	10
0	20	73
1	122	72
2	848	72
3	5953	72
0	8280	72
0	64	1240
1	227	1081
2	721	1059
3	3933	1033
0	8303	1033
0	109	2522
1	351	2232
2	985	2208
3	4884	2207
0	8114	2207
0	92	3059
1	319	2790
2	915	2652
3	5414	2649
0	8252	2649
0	12	42
1	68	41
2	415	41
3	4003	41
0	9545	41

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	saturated
1×	iter limit
1×	node limit

Compiler

Compiled 847 to 452 computations (46.6% saved)

preprocess299.0ms (3.3%)

Compiler: Compiled 1920 to 838 computations (56.4% saved)

Iter	Nodes	Cost
0	21	135
1	62	128
2	128	128
3	309	128
4	500	128
5	636	128
6	734	128
7	740	128
0	740	128

Iter	Nodes	Cost
0	21	135
1	62	128
2	128	128
3	309	128
4	500	128
5	636	128
6	734	128
7	740	128
0	740	128

analyze119.0ms (1.3%)

sample910.0ms (10%)

preprocess67.0ms (0.7%)

explain95.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify10.0ms (0.1%)

localize77.0ms (0.8%)

series12.0ms (0.1%)

rewrite359.0ms (3.9%)

simplify244.0ms (2.7%)

eval156.0ms (1.7%)

prune76.0ms (0.8%)

simplify24.0ms (0.3%)

localize149.0ms (1.6%)

series29.0ms (0.3%)

rewrite314.0ms (3.4%)

simplify266.0ms (2.9%)

eval273.0ms (3%)

prune449.0ms (4.9%)

simplify34.0ms (0.4%)

localize178.0ms (2%)

series14.0ms (0.2%)

rewrite315.0ms (3.5%)

simplify644.0ms (7.1%)

eval270.0ms (3%)

prune215.0ms (2.4%)

simplify18.0ms (0.2%)

localize117.0ms (1.3%)

series15.0ms (0.2%)

rewrite302.0ms (3.3%)

simplify231.0ms (2.5%)

eval178.0ms (2%)

prune172.0ms (1.9%)

regimes88.0ms (1%)

regimes67.0ms (0.7%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

regimes6.0ms (0.1%)

regimes20.0ms (0.2%)

regimes12.0ms (0.1%)

regimes6.0ms (0.1%)

regimes4.0ms (0%)

bsearch0.0ms (0%)

bsearch41.0ms (0.4%)

bsearch44.0ms (0.5%)

bsearch41.0ms (0.5%)

bsearch13.0ms (0.1%)

simplify10.0ms (0.1%)

soundness2.1s (23.2%)

preprocess299.0ms (3.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	21	135
1	62	128
2	128	128
3	309	128
4	500	128
5	636	128
6	734	128
7	740	128
0	740	128