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

analyze145.0ms (1.6%)

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: 67.0ms

ival-mult: 56.0ms (83.6% of total)

ival-add: 6.0ms (9% of total)

ival-div: 3.0ms (4.5% of total)

const: 1.0ms (1.5% of total)

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

sample1.1s (12.1%)

Results

813.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 454.0ms

ival-mult: 275.0ms (60.6% of total)

ival-add: 101.0ms (22.3% of total)

ival-div: 62.0ms (13.7% of total)

const: 13.0ms (2.9% of total)

backward-pass: 3.0ms (0.7% of total)

Bogosity

preprocess87.0ms (1%)

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)

explain90.0ms (1%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
41	-	6	(6.011780608929393e-180 5.470108506501397e-100 -8.251665337696633e-160)	`(/.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

65.0ms

512×

valid

Compiler

Compiled 84 to 29 computations (65.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-mult: 15.0ms (66.2% of total)

ival-div: 4.0ms (17.7% of total)

ival-add: 3.0ms (13.2% of total)

const: 1.0ms (4.4% 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
▶	85.5%	(/.f64 (.f64 x y) (.f64 z (*.f64 z (+.f64 z #s(literal 1 binary64)))))

Compiler

Compiled 14 to 9 computations (35.7% saved)

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	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

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	33
1	28	30
2	79	30
3	183	30
4	268	30
0	268	30

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

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)

localize43.0ms (0.5%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	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	85.6%	(/.f64 (.f64 x y) (.f64 z (*.f64 z (+.f64 z #s(literal 1 binary64)))))

Results

34.0ms

256×

valid

Compiler

Compiled 37 to 10 computations (73% saved)

Precisions

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

ival-mult: 5.0ms (43.4% of total)

ival-add: 4.0ms (34.8% of total)

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

const: 0.0ms (0% of total)

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

series9.0ms (0.1%)

Counts

4 → 84

Calls

Call 1

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

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	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))))

rewrite315.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

4248×	`-lowering-.f32`
4248×	`-lowering-.f64`
2828×	`/-lowering-/.f32`
2828×	`/-lowering-/.f64`
1698×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	46	23
2	322	23
3	3058	23
0	8842	23

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 339

Calls

Call 1

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

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

simplify194.0ms (2.1%)

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	664
1	227	585
2	721	574
3	3933	561
0	8303	561

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

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)))

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)))

eval56.0ms (0.6%)

Compiler: Compiled 6814 to 932 computations (86.3% saved)

prune65.0ms (0.7%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	413	10	423
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	414	10	424

Accuracy

100.0%

Counts

424 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.9%	(/.f64 (/.f64 (/.f64 y (/.f64 z x)) z) (+.f64 z #s(literal 1 binary64)))
▶	85.5%	(/.f64 (/.f64 (.f64 x y) (+.f64 z #s(literal 1 binary64))) (.f64 z z))
	95.5%	(/.f64 (/.f64 y z) (*.f64 (/.f64 z x) (+.f64 z #s(literal 1 binary64))))
▶	96.5%	(/.f64 (/.f64 x (/.f64 (*.f64 z (+.f64 z #s(literal 1 binary64))) y)) z)
	95.4%	(/.f64 (/.f64 x z) (/.f64 (*.f64 z (+.f64 z #s(literal 1 binary64))) y))
	78.5%	(/.f64 (*.f64 x (/.f64 y z)) z)
▶	57.3%	(/.f64 (.f64 x y) (.f64 z (*.f64 z z)))
▶	74.2%	(/.f64 (.f64 x y) (.f64 z z))
	95.9%	(/.f64 (.f64 #s(literal 1 binary64) (/.f64 y (+.f64 z #s(literal 1 binary64)))) (.f64 (/.f64 z x) z))
	96.8%	(*.f64 (/.f64 (/.f64 y (/.f64 z x)) z) (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal 1 binary64))))

Compiler

Compiled 268 to 168 computations (37.3% saved)

simplify25.0ms (0.3%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

306×	`-lowering-.f32`
306×	`-lowering-.f64`
248×	`/-lowering-/.f32`
248×	`/-lowering-/.f64`
224×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	135
1	61	127
2	137	127
3	314	127
4	489	127
5	598	127
6	702	127
7	707	127
0	707	127

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize134.0ms (1.5%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	97.7%	(/.f64 (*.f64 x y) (+.f64 z #s(literal 1 binary64)))
✓	accuracy	86.8%	(/.f64 (/.f64 (.f64 x y) (+.f64 z #s(literal 1 binary64))) (.f64 z z))
✓	accuracy	100.0%	(*.f64 z (+.f64 z #s(literal 1 binary64)))
✓	accuracy	99.9%	(/.f64 (/.f64 x (/.f64 (*.f64 z (+.f64 z #s(literal 1 binary64))) y)) z)
✓	accuracy	92.2%	(/.f64 x (/.f64 (*.f64 z (+.f64 z #s(literal 1 binary64))) y))
✓	accuracy	91.5%	(/.f64 (*.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	87.9%	(/.f64 (.f64 x y) (.f64 z (*.f64 z z)))
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	82.2%	(/.f64 (.f64 x y) (.f64 z z))
✓	accuracy	100.0%	(+.f64 z #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 (/.f64 (/.f64 y (/.f64 z x)) z) (+.f64 z #s(literal 1 binary64)))
✓	accuracy	98.1%	(/.f64 (/.f64 y (/.f64 z x)) z)
✓	accuracy	90.1%	(/.f64 y (/.f64 z x))

Results

104.0ms

256×

valid

Compiler

Compiled 146 to 21 computations (85.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-div: 20.0ms (70.3% of total)

ival-mult: 7.0ms (24.6% of total)

ival-add: 2.0ms (7% of total)

const: 0.0ms (0% of total)

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

series32.0ms (0.4%)

Counts

16 → 444

Calls

Call 1

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

Calls

111 calls:

Time	Variable		Expression
4.0ms	x	@	(/ x (/ (* z (+ z 1)) y))
2.0ms	x	@	(/ y (/ z x))
2.0ms	z	@	(/ (/ y (/ z x)) z)
2.0ms	y	@	(/ (* z (+ z 1)) y)
1.0ms	x	@	(/ (* x y) (* z (* z z)))

rewrite405.0ms (4.5%)

Algorithm

1×	batch-egg-rewrite

Rules

4570×	`-lowering-.f32`
4570×	`-lowering-.f64`
4208×	`/-lowering-/.f32`
4208×	`/-lowering-/.f64`
2312×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	101
1	137	93
2	1011	93
3	7328	93
0	9298	93

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 1445

Calls

Call 1

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

Outputs
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(+.f64 (fma.f64 (/.f64 (.f64 z z) (+.f64 (.f64 z z) #s(literal -1 binary64))) (+.f64 z #s(literal 1 binary64)) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal -1 binary64))) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal -1 binary64)))) #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal -1 binary64))) #s(literal 1 binary64))))
(+.f64 (fma.f64 (/.f64 (.f64 z z) (+.f64 (.f64 z z) #s(literal -1 binary64))) (+.f64 z #s(literal 1 binary64)) (neg.f64 (.f64 (+.f64 z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z z) #s(literal -1 binary64)))))) (fma.f64 (-.f64 #s(literal -1 binary64) z) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z z) #s(literal -1 binary64))) (.f64 (+.f64 z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 z z) #s(literal -1 binary64))))))
(+.f64 (fma.f64 (/.f64 (.f64 z z) (+.f64 (.f64 z z) #s(literal -1 binary64))) (+.f64 z #s(literal 1 binary64)) (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 z #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z (.f64 z z)) #s(literal -1 binary64)))))) (fma.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 z #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z (.f64 z z)) #s(literal -1 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 z #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z (*.f64 z z)) #s(literal -1 binary64))))))
(+.f64 (fma.f64 (/.f64 (.f64 z z) (+.f64 (.f64 z (.f64 z z)) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 z #s(literal 1 binary64)))) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal -1 binary64))) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal -1 binary64)))) #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal -1 binary64))) #s(literal 1 binary64))))
(+.f64 (fma.f64 (/.f64 (.f64 z z) (+.f64 (.f64 z (.f64 z z)) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 z #s(literal 1 binary64)))) (neg.f64 (.f64 (+.f64 z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z z) #s(literal -1 binary64)))))) (fma.f64 (-.f64 #s(literal -1 binary64) z) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z z) #s(literal -1 binary64))) (.f64 (+.f64 z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 z z) #s(literal -1 binary64))))))
(+.f64 (fma.f64 (/.f64 (.f64 z z) (+.f64 (.f64 z (.f64 z z)) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 z #s(literal 1 binary64)))) (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 z #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z (.f64 z z)) #s(literal -1 binary64)))))) (fma.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 z #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z (.f64 z z)) #s(literal -1 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 z #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z (*.f64 z z)) #s(literal -1 binary64))))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) z))
(-.f64 (/.f64 (*.f64 z z) (+.f64 z #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) z)))
(-.f64 (/.f64 (/.f64 (*.f64 z z) (+.f64 z #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 z #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) z #s(literal 1 binary64))
(neg.f64 (-.f64 #s(literal -1 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal -1 binary64) z) #s(literal -1 binary64))
(/.f64 (+.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 #s(literal 1 binary64) (.f64 z (.f64 z z))) (neg.f64 (-.f64 #s(literal 0 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 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 z #s(literal -1 binary64))))))
(/.f64 (+.f64 (*.f64 z z) #s(literal -1 binary64)) (+.f64 z #s(literal -1 binary64)))
(/.f64 (+.f64 (*.f64 z z) #s(literal -1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) z)))
(/.f64 (+.f64 (.f64 z z) #s(literal -1 binary64)) (.f64 #s(literal 1 binary64) (+.f64 z #s(literal -1 binary64))))
(/.f64 #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 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 z #s(literal -1 binary64))))))
(/.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) z))
(/.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 (.f64 z (.f64 z z)) (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 z #s(literal -1 binary64)))) (+.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) (-.f64 #s(literal 1 binary64) (.f64 z (*.f64 z z))))))
(/.f64 (+.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 z #s(literal -1 binary64)))) (+.f64 (.f64 z (*.f64 z z)) #s(literal -1 binary64))))
(/.f64 (+.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) #s(literal -1 binary64)) (.f64 (+.f64 z #s(literal -1 binary64)) (+.f64 (.f64 z (.f64 z (.f64 z z))) (+.f64 #s(literal 1 binary64) (.f64 z z)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (-.f64 #s(literal 1 binary64) z))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)))
(/.f64 (+.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal -1 binary64)) (.f64 (+.f64 z #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (-.f64 (.f64 (.f64 z z) (+.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 z #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 z (.f64 z z))) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 z #s(literal -1 binary64)))))
(/.f64 (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 z (.f64 z z))) #s(literal -1 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 z #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) #s(literal 1 binary64))) (+.f64 z #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) z)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z))) (neg.f64 (-.f64 #s(literal 1 binary64) z)))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 z z) (+.f64 z #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (.f64 z z) (+.f64 z #s(literal -1 binary64))) (/.f64 (.f64 z z) (+.f64 z #s(literal -1 binary64)))) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal -1 binary64)))) (.f64 (/.f64 (*.f64 z z) (+.f64 z #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal -1 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 z z) (+.f64 z #s(literal -1 binary64))) (/.f64 (.f64 z z) (+.f64 z #s(literal -1 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal -1 binary64))))) (+.f64 (/.f64 (*.f64 z z) (+.f64 z #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal -1 binary64)))))
(/.f64 (.f64 (+.f64 (.f64 z z) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 z #s(literal -1 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.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 (.f64 z (.f64 z z)) (.f64 (.f64 z z) (.f64 z (.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 z (.f64 z (.f64 z z)))) (-.f64 #s(literal 1 binary64) (.f64 z (*.f64 z z)))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 z #s(literal -1 binary64)))))) (+.f64 (.f64 z (*.f64 z z)) #s(literal -1 binary64)))
(/.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 #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 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)))

simplify250.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

4272×	`-lowering-.f32`
4272×	`-lowering-.f64`
1632×	`/-lowering-/.f32`
1632×	`/-lowering-/.f64`
1394×	`times-frac`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	98	3571
1	314	3208
2	891	3111
3	5048	3106
0	8258	3106

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 444

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

eval322.0ms (3.6%)

Compiler: Compiled 34374 to 2915 computations (91.5% saved)

prune246.0ms (2.7%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	2178	13	2191
Fresh	4	1	5
Picked	5	0	5
Done	0	0	0
Total	2187	14	2201

Accuracy

100.0%

Counts

2201 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.7%	(/.f64 (/.f64 (/.f64 x z) (/.f64 (+.f64 z #s(literal 1 binary64)) y)) z)
	57.3%	(/.f64 (/.f64 (.f64 x y) z) (.f64 z z))
▶	81.9%	(/.f64 (/.f64 y (/.f64 z x)) z)
	58.6%	(/.f64 (/.f64 y z) (/.f64 (*.f64 z z) x))
	79.8%	(/.f64 (/.f64 y z) (/.f64 z x))
▶	60.3%	(/.f64 (/.f64 x (/.f64 (*.f64 z z) y)) z)
	78.8%	(/.f64 (/.f64 x (/.f64 z y)) z)
	95.4%	(/.f64 (/.f64 x z) (/.f64 (*.f64 z (+.f64 z #s(literal 1 binary64))) y))
	60.7%	(/.f64 (/.f64 x z) (/.f64 z (/.f64 y z)))
▶	79.7%	(/.f64 (/.f64 x z) (/.f64 z y))
	75.7%	(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 z (*.f64 y x)))
	71.5%	(/.f64 x (/.f64 z (/.f64 y z)))
	79.4%	(*.f64 (/.f64 y z) (/.f64 x z))
▶	78.8%	(.f64 (/.f64 x (.f64 z z)) y)

Compiler

Compiled 316 to 192 computations (39.2% saved)

simplify29.0ms (0.3%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

306×	`-lowering-.f32`
306×	`-lowering-.f64`
248×	`/-lowering-/.f32`
248×	`/-lowering-/.f64`
212×	`times-frac`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	105
1	43	104
2	88	103
3	149	102
4	209	102
5	368	102
6	515	102
7	602	102
8	632	102
0	632	102

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize132.0ms (1.5%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	99.9%	(/.f64 (/.f64 x (/.f64 (*.f64 z z) y)) z)
✓	accuracy	90.7%	(/.f64 x (/.f64 (*.f64 z z) y))
✓	accuracy	90.0%	(/.f64 (*.f64 z z) y)
✓	accuracy	100.0%	(/.f64 z x)
✓	accuracy	98.1%	(/.f64 (/.f64 y (/.f64 z x)) z)
✓	accuracy	90.1%	(/.f64 y (/.f64 z x))
✓	accuracy	100.0%	(/.f64 z y)
✓	accuracy	100.0%	(/.f64 x z)
✓	accuracy	95.7%	(/.f64 (/.f64 x z) (/.f64 z y))
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	90.9%	(.f64 (/.f64 x (.f64 z z)) y)
✓	accuracy	88.1%	(/.f64 x (*.f64 z z))
✓	accuracy	100.0%	(+.f64 z #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 (+.f64 z #s(literal 1 binary64)) y)
✓	accuracy	99.9%	(/.f64 (/.f64 (/.f64 x z) (/.f64 (+.f64 z #s(literal 1 binary64)) y)) z)
✓	accuracy	97.4%	(/.f64 (/.f64 x z) (/.f64 (+.f64 z #s(literal 1 binary64)) y))

Results

107.0ms

256×

valid

Compiler

Compiled 118 to 21 computations (82.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-div: 30.0ms (80.2% of total)

ival-mult: 5.0ms (13.4% of total)

ival-add: 2.0ms (5.3% of total)

const: 0.0ms (0% of total)

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

series15.0ms (0.2%)

Counts

16 → 456

Calls

Call 1

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

114 calls:

Time	Variable		Point	Expression
3.0ms	y	@	0	(/ (+ z 1) y)
0.0ms	x	@	-inf	(/ x (* z z))
0.0ms	x	@	0	(/ x (* z z))
0.0ms	y	@	-inf	(/ (* z z) y)
0.0ms	x	@	-inf	(/ x z)

rewrite283.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

3588×	`/-lowering-/.f32`
3588×	`/-lowering-/.f64`
3426×	`-lowering-.f32`
3426×	`-lowering-.f64`
1320×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	84
1	126	82
2	970	81
3	6224	81
0	8050	81

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 1037

Calls

Call 1

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

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

simplify227.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

3670×	`-lowering-.f32`
3670×	`-lowering-.f64`
1474×	`div-sub`
1472×	`+-lowering-+.f64`
1472×	`+-lowering-+.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	89	2964
1	278	2640
2	825	2618
3	4151	2592
0	8355	2592

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 456

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

eval176.0ms (1.9%)

Compiler: Compiled 18906 to 2276 computations (88% saved)

prune155.0ms (1.7%)

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	1570	5	1575
Fresh	2	7	9
Picked	2	3	5
Done	0	0	0
Total	1574	15	1589

Accuracy

100.0%

Counts

1589 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.7%	(/.f64 (/.f64 (/.f64 x z) (/.f64 (+.f64 z #s(literal 1 binary64)) y)) z)
	81.5%	(/.f64 (/.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) y)) z)
	58.6%	(/.f64 (/.f64 y z) (/.f64 (*.f64 z z) x))
	79.8%	(/.f64 (/.f64 y z) (/.f64 z x))
✓	60.3%	(/.f64 (/.f64 x (/.f64 (*.f64 z z) y)) z)
▶	78.8%	(/.f64 (/.f64 x (/.f64 z y)) z)
▶	95.4%	(/.f64 (/.f64 x z) (/.f64 (*.f64 z (+.f64 z #s(literal 1 binary64))) y))
	60.7%	(/.f64 (/.f64 x z) (/.f64 z (/.f64 y z)))
	75.7%	(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 z (*.f64 y x)))
	81.5%	(/.f64 (*.f64 (/.f64 x z) y) z)
▶	73.5%	(/.f64 x (/.f64 (*.f64 z z) y))
▶	60.3%	(/.f64 x (/.f64 z (/.f64 y (*.f64 z z))))
	71.5%	(/.f64 x (/.f64 z (/.f64 y z)))
▶	84.0%	(*.f64 (/.f64 (/.f64 x z) z) y)
✓	78.8%	(.f64 (/.f64 x (.f64 z z)) y)

Compiler

Compiled 304 to 186 computations (38.8% saved)

simplify18.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	104
1	46	101
2	88	99
3	220	99
4	374	99
5	422	99
6	449	99
0	449	99

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize129.0ms (1.4%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	99.9%	(/.f64 z (/.f64 y (*.f64 z z)))
✓	accuracy	94.7%	(/.f64 x (/.f64 z (/.f64 y (*.f64 z z))))
✓	accuracy	90.0%	(/.f64 y (*.f64 z z))
✓	accuracy	100.0%	(/.f64 z y)
✓	accuracy	98.1%	(/.f64 (/.f64 x (/.f64 z y)) z)
✓	accuracy	92.2%	(/.f64 x (/.f64 z y))
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	90.7%	(/.f64 x (/.f64 (*.f64 z z) y))
✓	accuracy	90.0%	(/.f64 (*.f64 z z) y)
✓	accuracy	100.0%	(/.f64 x z)
✓	accuracy	99.8%	(/.f64 (/.f64 x z) z)
✓	accuracy	90.9%	(*.f64 (/.f64 (/.f64 x z) z) y)
✓	accuracy	100.0%	(+.f64 z #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 z (+.f64 z #s(literal 1 binary64)))
✓	accuracy	96.8%	(/.f64 (/.f64 x z) (/.f64 (*.f64 z (+.f64 z #s(literal 1 binary64))) y))
✓	accuracy	91.5%	(/.f64 (*.f64 z (+.f64 z #s(literal 1 binary64))) y)

Results

102.0ms

256×

valid

Compiler

Compiled 118 to 21 computations (82.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-div: 22.0ms (75.7% of total)

ival-mult: 5.0ms (17.2% of total)

ival-add: 2.0ms (6.9% of total)

const: 0.0ms (0% of total)

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

series8.0ms (0.1%)

Counts

16 → 420

Calls

Call 1

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

105 calls:

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

rewrite291.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

3820×	`-lowering-.f32`
3820×	`-lowering-.f64`
3386×	`/-lowering-/.f32`
3386×	`/-lowering-/.f64`
1938×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	83
1	122	78
2	869	78
3	6435	78
0	8138	78

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 1049

Calls

Call 1

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

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

simplify249.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

3776×	`-lowering-.f32`
3776×	`-lowering-.f64`
1678×	`div-sub`
1518×	`/-lowering-/.f32`
1518×	`/-lowering-/.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	77	2579
1	257	2316
2	764	2263
3	4609	2260
0	8371	2260

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 420

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

eval180.0ms (2%)

Compiler: Compiled 19003 to 2243 computations (88.2% saved)

prune511.0ms (5.7%)

Pruning

14 alts after pruning (7 fresh and 7 done)

	Pruned	Kept	Total
New	1542	2	1544
Fresh	2	5	7
Picked	1	4	5
Done	0	3	3
Total	1545	14	1559

Accuracy

100.0%

Counts

1559 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.7%	(/.f64 (/.f64 (/.f64 x z) (/.f64 (+.f64 z #s(literal 1 binary64)) y)) z)
	58.6%	(/.f64 (/.f64 y z) (/.f64 (*.f64 z z) x))
	79.8%	(/.f64 (/.f64 y z) (/.f64 z x))
✓	60.3%	(/.f64 (/.f64 x (/.f64 (*.f64 z z) y)) z)
✓	78.8%	(/.f64 (/.f64 x (/.f64 z y)) z)
✓	95.4%	(/.f64 (/.f64 x z) (/.f64 (*.f64 z (+.f64 z #s(literal 1 binary64))) y))
	60.7%	(/.f64 (/.f64 x z) (/.f64 z (/.f64 y z)))
	75.7%	(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 z (*.f64 y x)))
	81.5%	(/.f64 (*.f64 (/.f64 x z) y) z)
	84.0%	(/.f64 y (/.f64 z (/.f64 x z)))
✓	60.3%	(/.f64 x (/.f64 z (/.f64 y (*.f64 z z))))
	71.5%	(/.f64 x (*.f64 (/.f64 z y) z))
✓	84.0%	(*.f64 (/.f64 (/.f64 x z) z) y)
✓	78.8%	(.f64 (/.f64 x (.f64 z z)) y)

Compiler

Compiled 445 to 172 computations (61.3% saved)

regimes74.0ms (0.8%)

Counts

32 → 1

Calls

Call 1

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

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

Calls

6 calls:

26.0ms	(*.f64 x y)
11.0ms	y
9.0ms	x
9.0ms	z
8.0ms	(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
98.7%	1	`x`
98.7%	1	`y`
98.7%	1	`z`
98.7%	1	`(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))`
98.7%	1	`(*.f64 x y)`
98.7%	1	`(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))`

Compiler

Compiled 42 to 29 computations (31% saved)

regimes53.0ms (0.6%)

Counts

28 → 1

Calls

Call 1

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

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

Calls

6 calls:

10.0ms	x
9.0ms	z
8.0ms	(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))
8.0ms	y
8.0ms	(*.f64 x y)

Results

Accuracy	Segments	Branch
96.5%	1	`x`
96.5%	1	`y`
96.5%	1	`z`
96.5%	1	`(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))`
96.5%	1	`(*.f64 x y)`
96.5%	1	`(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))`

Compiler

Compiled 42 to 29 computations (31% saved)

regimes46.0ms (0.5%)

Counts

25 → 1

Calls

Call 1

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

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

Calls

6 calls:

9.0ms	z
8.0ms	x
7.0ms	y
7.0ms	(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
7.0ms	(*.f64 x y)

Results

Accuracy	Segments	Branch
95.4%	1	`y`
95.4%	1	`(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))`
95.4%	1	`(*.f64 x y)`
95.4%	1	`x`
95.4%	1	`z`
95.4%	1	`(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))`

Compiler

Compiled 42 to 29 computations (31% saved)

regimes75.0ms (0.8%)

Counts

24 → 3

Calls

Call 1

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

Calls

6 calls:

33.0ms	(*.f64 x y)
14.0ms	y
7.0ms	x
7.0ms	z
6.0ms	(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
90.5%	2	`x`
92.4%	2	`y`
98.0%	3	`z`
98.0%	3	`(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))`
92.9%	2	`(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))`
95.8%	3	`(*.f64 x y)`

Compiler

Compiled 42 to 29 computations (31% saved)

regimes7.0ms (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 (/.f64 x z) z) y)
(/.f64 x (*.f64 (/.f64 z y) z))
(/.f64 x (/.f64 z (/.f64 y z)))
(/.f64 x (/.f64 (*.f64 z z) y))
(/.f64 y (/.f64 z (/.f64 x z)))
(/.f64 (.f64 x y) (.f64 z z))
(/.f64 (*.f64 x (/.f64 y z)) z)
(/.f64 (*.f64 (/.f64 x z) y) z)
(/.f64 (/.f64 x z) (/.f64 z y))
(/.f64 (/.f64 x (/.f64 z y)) z)
(/.f64 (/.f64 y z) (/.f64 z x))
(/.f64 (/.f64 y (/.f64 z x)) z)
(/.f64 x (/.f64 z (/.f64 y (*.f64 z z))))
(/.f64 (.f64 x y) (.f64 z (*.f64 z z)))
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 z (*.f64 y x)))
(/.f64 (/.f64 x z) (/.f64 z (/.f64 y z)))

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
98.0%	3	`z`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes8.0ms (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 (/.f64 x z) z) y)
(/.f64 x (*.f64 (/.f64 z y) z))
(/.f64 x (/.f64 z (/.f64 y z)))
(/.f64 x (/.f64 (*.f64 z z) y))
(/.f64 y (/.f64 z (/.f64 x z)))
(/.f64 (.f64 x y) (.f64 z z))
(/.f64 (*.f64 x (/.f64 y z)) z)
(/.f64 (*.f64 (/.f64 x z) y) z)
(/.f64 (/.f64 x z) (/.f64 z y))
(/.f64 (/.f64 x (/.f64 z y)) z)
(/.f64 (/.f64 y z) (/.f64 z x))
(/.f64 (/.f64 y (/.f64 z x)) z)
(/.f64 x (/.f64 z (/.f64 y (*.f64 z z))))
(/.f64 (.f64 x y) (.f64 z (*.f64 z z)))
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 z (*.f64 y x)))

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
97.3%	3	`z`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes20.0ms (0.2%)

Counts

14 → 2

Calls

Call 1

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

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

Calls

4 calls:

6.0ms	y
5.0ms	z
5.0ms	x
4.0ms	(*.f64 x y)

Results

Accuracy	Segments	Branch
84.0%	1	`x`
85.8%	2	`y`
84.0%	1	`(*.f64 x y)`
84.0%	1	`z`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes4.0ms (0%)

Counts

9 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
85.8%	2	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes4.0ms (0%)

Counts

8 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
85.8%	2	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes4.0ms (0%)

Counts

6 → 2

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
85.8%	2	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes5.0ms (0.1%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	z
2.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
85.5%	3	`z`
82.3%	2	`x`
84.5%	2	`y`

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	x
1.0ms	y

Results

Accuracy	Segments	Branch
78.8%	1	`x`
78.8%	1	`z`
78.8%	1	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5.593711696695625e-14	4.2568176258398847e-10
0.0ms	-2.4227316345835015e+42	0.0

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch43.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	3.8115308458466734e-11	5.166426470173944
22.0ms	-134307965371314.14	-2.0632269520003278e-5

Results

30.0ms

320×

valid

Compiler

Compiled 500 to 314 computations (37.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-div: 7.0ms (42.7% of total)

ival-mult: 7.0ms (42.7% of total)

ival-add: 2.0ms (12.2% of total)

const: 0.0ms (0% of total)

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

bsearch38.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	3.8115308458466734e-11	5.166426470173944
19.0ms	-134307965371314.14	-2.0632269520003278e-5

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 (61.7% of total)

ival-div: 2.0ms (17.6% of total)

ival-add: 2.0ms (17.6% of total)

const: 0.0ms (0% of total)

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

bsearch27.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
26.0ms	1665.7526167707829	755297.5254202526

Results

22.0ms

112×

valid

Compiler

Compiled 174 to 112 computations (35.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-add: 15.0ms (83.5% of total)

ival-mult: 2.0ms (11.1% of total)

ival-div: 1.0ms (5.6% of total)

const: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
2.0ms	1665.7526167707829	755297.5254202526

Results

1.0ms

16×

valid

Compiler

Compiled 42 to 28 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-div: 0.0ms (0% of total)

ival-add: 0.0ms (0% of total)

ival-mult: 0.0ms (0% of total)

const: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
2.0ms	84258438015100.63	134994785364677.66

Results

1.0ms

16×

valid

Compiler

Compiled 42 to 28 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-div: 0.0ms (0% of total)

ival-add: 0.0ms (0% of total)

ival-mult: 0.0ms (0% of total)

const: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
2.0ms	1.992638596191373e-45	2.1547151080858714e-45

Results

1.0ms

16×

valid

Compiler

Compiled 42 to 28 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-div: 0.0ms (0% of total)

ival-add: 0.0ms (0% of total)

ival-mult: 0.0ms (0% of total)

const: 0.0ms (0% of total)

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

bsearch7.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
7.0ms	5.320470706450657e+60	8.383754774099748e+67

Results

5.0ms

64×

valid

Compiler

Compiled 108 to 70 computations (35.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-mult: 1.0ms (44.3% of total)

ival-div: 0.0ms (0% of total)

ival-add: 0.0ms (0% of total)

const: 0.0ms (0% of total)

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

simplify15.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	233
1	78	233

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (/.f64 (/.f64 x z) (/.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 x z) (/.f64 (*.f64 z (+.f64 z #s(literal 1 binary64))) y))
(if (<=.f64 (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal -2000000000000000089771425356151833571098624 binary64)) (/.f64 (/.f64 x (/.f64 (.f64 z z) y)) z) (if (<=.f64 (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal 3961408125713217/39614081257132168796771975168 binary64)) (/.f64 (.f64 (/.f64 x z) y) z) (/.f64 (/.f64 x z) (/.f64 z (/.f64 y z)))))
(if (<=.f64 z #s(literal -1 binary64)) (/.f64 x (/.f64 z (/.f64 y (.f64 z z)))) (if (<=.f64 z #s(literal 1 binary64)) (/.f64 (.f64 (/.f64 x z) y) z) (/.f64 (/.f64 x z) (/.f64 z (/.f64 y z)))))
(if (<=.f64 z #s(literal -1 binary64)) (/.f64 x (/.f64 z (/.f64 y (.f64 z z)))) (if (<=.f64 z #s(literal 1 binary64)) (/.f64 (.f64 (/.f64 x z) y) z) (/.f64 x (/.f64 z (/.f64 y (*.f64 z z))))))
(if (<=.f64 y #s(literal 2500 binary64)) (/.f64 (*.f64 (/.f64 x z) y) z) (/.f64 y (/.f64 z (/.f64 x z))))
(if (<=.f64 y #s(literal 2000 binary64)) (/.f64 (*.f64 x (/.f64 y z)) z) (/.f64 y (/.f64 z (/.f64 x z))))
(if (<=.f64 y #s(literal 100000000000000 binary64)) (*.f64 (/.f64 y z) (/.f64 x z)) (/.f64 y (/.f64 z (/.f64 x z))))
(if (<=.f64 y #s(literal 6749139785887759/3213876088517980551083924184682325205044405987565585670602752 binary64)) (.f64 (/.f64 y z) (/.f64 x z)) (.f64 (/.f64 (/.f64 x z) z) y))
(if (<=.f64 y #s(literal 19999999999999999654735515678371196634479565751161864557154294300672 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 (/.f64 x z) (/.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 x z) (/.f64 (*.f64 z (+.f64 z #s(literal 1 binary64))) y))
(if (<=.f64 (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal -2000000000000000089771425356151833571098624 binary64)) (/.f64 (/.f64 x (/.f64 (.f64 z z) y)) z) (if (<=.f64 (.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal 3961408125713217/39614081257132168796771975168 binary64)) (/.f64 (.f64 (/.f64 x z) y) z) (/.f64 (/.f64 x z) (/.f64 z (/.f64 y z)))))
(if (<=.f64 (.f64 (+.f64 z #s(literal 1 binary64)) (.f64 z z)) #s(literal -2000000000000000089771425356151833571098624 binary64)) (/.f64 (/.f64 x (/.f64 (.f64 z z) y)) z) (if (<=.f64 (.f64 (+.f64 z #s(literal 1 binary64)) (.f64 z z)) #s(literal 3961408125713217/39614081257132168796771975168 binary64)) (/.f64 (.f64 (/.f64 x z) y) z) (/.f64 (/.f64 x z) (/.f64 z (/.f64 y z)))))
(if (<=.f64 z #s(literal -1 binary64)) (/.f64 x (/.f64 z (/.f64 y (.f64 z z)))) (if (<=.f64 z #s(literal 1 binary64)) (/.f64 (.f64 (/.f64 x z) y) z) (/.f64 (/.f64 x z) (/.f64 z (/.f64 y z)))))
(if (<=.f64 z #s(literal -1 binary64)) (/.f64 x (/.f64 z (/.f64 y (.f64 z z)))) (if (<=.f64 z #s(literal 1 binary64)) (/.f64 (.f64 (/.f64 x z) y) z) (/.f64 x (/.f64 z (/.f64 y (*.f64 z z))))))
(if (<=.f64 y #s(literal 2500 binary64)) (/.f64 (*.f64 (/.f64 x z) y) z) (/.f64 y (/.f64 z (/.f64 x z))))
(if (<=.f64 y #s(literal 2000 binary64)) (/.f64 (*.f64 x (/.f64 y z)) z) (/.f64 y (/.f64 z (/.f64 x z))))
(if (<=.f64 y #s(literal 100000000000000 binary64)) (*.f64 (/.f64 y z) (/.f64 x z)) (/.f64 y (/.f64 z (/.f64 x z))))
(if (<=.f64 y #s(literal 100000000000000 binary64)) (*.f64 (/.f64 x z) (/.f64 y z)) (/.f64 y (/.f64 z (/.f64 x z))))
(if (<=.f64 y #s(literal 6749139785887759/3213876088517980551083924184682325205044405987565585670602752 binary64)) (.f64 (/.f64 y z) (/.f64 x z)) (.f64 (/.f64 (/.f64 x z) z) y))
(if (<=.f64 y #s(literal 6749139785887759/3213876088517980551083924184682325205044405987565585670602752 binary64)) (.f64 (/.f64 x z) (/.f64 y z)) (.f64 y (/.f64 (/.f64 x z) z)))
(if (<=.f64 y #s(literal 19999999999999999654735515678371196634479565751161864557154294300672 binary64)) (.f64 (/.f64 y z) (/.f64 x z)) (.f64 (/.f64 x (*.f64 z z)) y))
(if (<=.f64 y #s(literal 19999999999999999654735515678371196634479565751161864557154294300672 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)))

soundness2.4s (26.6%)

Rules

4570×	`-lowering-.f32`
4570×	`-lowering-.f64`
4272×	`-lowering-.f32`
4272×	`-lowering-.f64`
4248×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	84
1	126	82
2	970	81
3	6224	81
0	8050	81
0	20	83
1	122	78
2	869	78
3	6435	78
0	8138	78
0	98	3571
1	314	3208
2	891	3111
3	5048	3106
0	8258	3106
0	20	101
1	137	93
2	1011	93
3	7328	93
0	9298	93
0	9	26
1	46	23
2	322	23
3	3058	23
0	8842	23
0	64	664
1	227	585
2	721	574
3	3933	561
0	8303	561
0	9	10
1	30	10
2	82	10
3	198	10
4	261	10
5	265	10
0	265	10

Stop Event

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

Compiler

Compiled 1138 to 616 computations (45.9% saved)

preprocess259.0ms (2.9%)

Compiler: Compiled 742 to 288 computations (61.2% saved)

Iter	Nodes	Cost
0	20	135
1	61	127
2	137	127
3	314	127
4	489	127
5	598	127
6	702	127
7	707	127
0	707	127

Iter	Nodes	Cost
0	20	105
1	43	104
2	88	103
3	149	102
4	209	102
5	368	102
6	515	102
7	602	102
8	632	102
0	632	102

Iter	Nodes	Cost
0	20	135
1	61	127
2	137	127
3	314	127
4	489	127
5	598	127
6	702	127
7	707	127
0	707	127

Iter	Nodes	Cost
0	20	105
1	43	104
2	88	103
3	149	102
4	209	102
5	368	102
6	515	102
7	602	102
8	632	102
0	632	102

analyze145.0ms (1.6%)

sample1.1s (12.1%)

preprocess87.0ms (1%)

explain90.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify12.0ms (0.1%)

localize43.0ms (0.5%)

series9.0ms (0.1%)

rewrite315.0ms (3.5%)

simplify194.0ms (2.1%)

eval56.0ms (0.6%)

prune65.0ms (0.7%)

simplify25.0ms (0.3%)

localize134.0ms (1.5%)

series32.0ms (0.4%)

rewrite405.0ms (4.5%)

simplify250.0ms (2.8%)

eval322.0ms (3.6%)

prune246.0ms (2.7%)

simplify29.0ms (0.3%)

localize132.0ms (1.5%)

series15.0ms (0.2%)

rewrite283.0ms (3.1%)

simplify227.0ms (2.5%)

eval176.0ms (1.9%)

prune155.0ms (1.7%)

simplify18.0ms (0.2%)

localize129.0ms (1.4%)

series8.0ms (0.1%)

rewrite291.0ms (3.2%)

simplify249.0ms (2.8%)

eval180.0ms (2%)

prune511.0ms (5.7%)

regimes74.0ms (0.8%)

regimes53.0ms (0.6%)

regimes46.0ms (0.5%)

regimes75.0ms (0.8%)

regimes7.0ms (0.1%)

regimes8.0ms (0.1%)

regimes20.0ms (0.2%)

regimes4.0ms (0%)

regimes4.0ms (0%)

regimes4.0ms (0%)

regimes5.0ms (0.1%)

regimes4.0ms (0%)

bsearch0.0ms (0%)

bsearch43.0ms (0.5%)

bsearch38.0ms (0.4%)

bsearch27.0ms (0.3%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

bsearch7.0ms (0.1%)

simplify15.0ms (0.2%)

soundness2.4s (26.6%)

preprocess259.0ms (2.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	20	135
1	61	127
2	137	127
3	314	127
4	489	127
5	598	127
6	702	127
7	707	127
0	707	127

Iter	Nodes	Cost
0	20	105
1	43	104
2	88	103
3	149	102
4	209	102
5	368	102
6	515	102
7	602	102
8	632	102
0	632	102