Metrics for Numeric.SpecFunctions:choose from math-functions-0.1.5.2

analyze62.0ms (1.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
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
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	10
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	11
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	12

Compiler

Compiled 11 to 7 computations (36.4% saved)

Precisions

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

ival-mult: 9.0ms (56.3% of total)

ival-add: 4.0ms (25% of total)

ival-div: 2.0ms (12.5% of total)

const: 0.0ms (0% of total)

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

sample771.0ms (13.8%)

Results

550.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 223.0ms

ival-div: 82.0ms (36.8% of total)

ival-mult: 73.0ms (32.8% of total)

ival-add: 57.0ms (25.6% of total)

const: 7.0ms (3.1% of total)

backward-pass: 3.0ms (1.3% of total)

Bogosity

preprocess271.0ms (4.8%)

Algorithm

2×	egg-herbie

Rules

3748×	`-lowering-.f32`
3748×	`-lowering-.f64`
1582×	`fnmadd-define`
1560×	`associate-/r/`
1524×	`fma-define`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	29	77
1	110	73
2	310	71
3	1046	71
4	3407	70
0	6	7
1	16	7
2	24	7
3	27	7
4	35	7
5	43	7
6	47	7
7	56	6
8	67	6
9	176	6
10	598	6
11	2548	6
12	4101	6
13	4426	6
14	4567	6
15	4678	6
16	4825	6
17	5001	6
18	6578	6
19	7853	6
0	8044	6

Stop Event

1×	iter limit
1×	node limit
1×	node limit

Calls

Call 1

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

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

Call 2

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

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

Symmetry

(negabs x)

explain67.0ms (1.2%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
45	-	1	(6.359958928036656e-308 -1.6561266496069638e-211 2.240143494671107e-10)	`(/.f64 (*.f64 x (+.f64 y z)) z)`
0	-	0	-	`x`
0	-	0	-	`(*.f64 x (+.f64 y z))`
0	-	0	-	`z`
0	-	0	-	`(+.f64 y z)`
0	-	0	-	`y`

Results

46.0ms

512×

valid

Compiler

Compiled 54 to 20 computations (63% saved)

Precisions

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

ival-div: 5.0ms (35.5% of total)

ival-mult: 5.0ms (35.5% of total)

ival-add: 3.0ms (21.3% of total)

const: 0.0ms (0% of total)

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

eval0.0ms (0%)

Compiler: Compiled 10 to 7 computations (30% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	83.6%	(/.f64 (*.f64 x (+.f64 y z)) z)
▶	96.5%	(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))

Compiler

Compiled 20 to 13 computations (35% saved)

simplify232.0ms (4.1%)

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

Rules

4988×	`-lowering-.f32`
4988×	`-lowering-.f64`
1932×	`fma-define`
1766×	`associate-/r/`
1642×	`cube-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	37
1	30	37
2	49	35
3	95	35
4	128	35
5	231	35
6	292	35
7	386	35
8	913	35
9	2134	35
10	3350	35
11	3787	35
12	4002	35
13	4114	35
14	4255	35
15	4417	35
16	6012	35
17	7457	35
0	8221	35

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize52.0ms (0.9%)

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 y z)
✓	accuracy	100.0%	(*.f64 x (+.f64 y z))
✓	accuracy	83.6%	(/.f64 (*.f64 x (+.f64 y z)) z)
✓	accuracy	100.0%	(/.f64 y z)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 y z))
✓	accuracy	96.5%	(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))

Results

40.0ms

256×

valid

Compiler

Compiled 41 to 11 computations (73.2% saved)

Precisions

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

ival-mult: 7.0ms (49.8% of total)

ival-div: 4.0ms (28.5% of total)

ival-add: 3.0ms (21.3% of total)

const: 0.0ms (0% of total)

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

series13.0ms (0.2%)

Counts

6 → 180

Calls

Call 1

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

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

Calls

45 calls:

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

rewrite284.0ms (5.1%)

Algorithm

1×	batch-egg-rewrite

Rules

3304×	`-lowering-.f32`
3304×	`-lowering-.f64`
2740×	`/-lowering-/.f32`
2740×	`/-lowering-/.f64`
1322×	`frac-times`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	67	30
2	540	29
3	7406	29
0	8095	29

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 310

Calls

Call 1

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

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

simplify152.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

2374×	`fnmadd-define`
1892×	`fmsub-define`
1886×	`fnmsub-define`
1594×	`fma-lowering-fma.f32`
1594×	`fmm-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	56	858
1	201	798
2	573	798
3	1754	798
4	5175	798
0	8358	798

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

Calls

Call 1

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

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

eval51.0ms (0.9%)

Compiler: Compiled 8348 to 964 computations (88.5% saved)

prune100.0ms (1.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	482	8	490
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	484	8	492

Accuracy

100.0%

Counts

492 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	86.6%	(/.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) (+.f64 y z)))
	47.4%	(/.f64 (*.f64 x y) z)
▶	96.8%	(/.f64 x (/.f64 z (+.f64 y z)))
▶	47.9%	(/.f64 x (/.f64 z y))
▶	96.8%	(+.f64 (/.f64 x (/.f64 z y)) x)
	83.6%	(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 x (+.f64 y z)))
	47.7%	(*.f64 x (/.f64 y z))
▶	51.3%	x

Compiler

Compiled 144 to 92 computations (36.1% saved)

simplify178.0ms (3.2%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 y z)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 y z))
✓	cost-diff	0	(/.f64 x z)
✓	cost-diff	128	(/.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) (+.f64 y z)))
✓	cost-diff	0	(+.f64 y z)
✓	cost-diff	0	(/.f64 z (+.f64 y z))
✓	cost-diff	0	(/.f64 x (/.f64 z (+.f64 y z)))
✓	cost-diff	0	(/.f64 z y)
✓	cost-diff	0	(/.f64 x (/.f64 z y))
✓	cost-diff	0	(/.f64 z y)
✓	cost-diff	0	(/.f64 x (/.f64 z y))
✓	cost-diff	0	(+.f64 (/.f64 x (/.f64 z y)) x)

Rules

4102×	`fma-define`
3532×	`fma-lowering-fma.f32`
3532×	`fma-lowering-fma.f64`
1670×	`-lowering-.f32`
1670×	`-lowering-.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	69
1	24	66
2	46	66
3	90	66
4	150	66
5	202	66
6	460	66
7	1851	66
8	2654	66
9	3866	66
10	5628	66
11	5735	66
12	5777	66
13	5819	66
14	6439	66
0	8004	66

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize75.0ms (1.3%)

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 x z)
✓	accuracy	100.0%	(+.f64 y z)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 y z))
✓	accuracy	86.6%	(/.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) (+.f64 y z)))
✓	accuracy	100.0%	(+.f64 y z)
✓	accuracy	100.0%	(/.f64 z (+.f64 y z))
✓	accuracy	96.7%	(/.f64 x (/.f64 z (+.f64 y z)))
✓	accuracy	100.0%	(/.f64 z y)
✓	accuracy	93.4%	(/.f64 x (/.f64 z y))
✓	accuracy	100.0%	(/.f64 z y)
✓	accuracy	100.0%	(+.f64 (/.f64 x (/.f64 z y)) x)
✓	accuracy	93.4%	(/.f64 x (/.f64 z y))

Results

59.0ms

256×

valid

Compiler

Compiled 76 to 14 computations (81.6% saved)

Precisions

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

ival-div: 12.0ms (80.2% of total)

ival-add: 3.0ms (20% of total)

const: 0.0ms (0% of total)

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

series16.0ms (0.3%)

Counts

9 → 264

Calls

Call 1

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

Outputs
#<alt (* x (+ 1 (/ y z)))>
#<alt (* x (+ 1 (/ y z)))>
#<alt (* x (+ 1 (/ y z)))>
#<alt (* x (+ 1 (/ y z)))>
#<alt (* x (+ 1 (/ y z)))>
#<alt (* x (+ 1 (/ y z)))>
#<alt (* x (+ 1 (/ y z)))>
#<alt (* x (+ 1 (/ y z)))>
#<alt (* -1 (* x (- (* -1 (/ y z)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y z)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y z)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y z)) 1)))>
#<alt (/ (* x y) z)>
#<alt (/ (+ (* x y) (* x z)) z)>
#<alt (/ (+ (* x y) (* x z)) z)>
#<alt (/ (+ (* x y) (* x z)) z)>
#<alt x>
#<alt (+ x (/ (* x y) z))>
#<alt (+ x (/ (* x y) z))>
#<alt (+ x (/ (* x y) z))>
#<alt x>
#<alt (+ x (/ (* x y) z))>
#<alt (+ x (/ (* x y) z))>
#<alt (+ x (/ (* x y) z))>
#<alt x>
#<alt (+ x (/ (* x y) z))>
#<alt (+ x (/ (* x y) z))>
#<alt (+ x (/ (* x y) z))>
#<alt (/ (* x y) z)>
#<alt (* y (+ (/ x y) (/ x z)))>
#<alt (* y (+ (/ x y) (/ x z)))>
#<alt (* y (+ (/ x y) (/ x z)))>
#<alt (/ (* x y) z)>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x 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 (/ (* 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 z)) z)>
#<alt (/ (* x (+ y z)) z)>
#<alt (/ (* x (+ y z)) z)>
#<alt (/ (* x (+ y z)) z)>
#<alt (/ (* x (+ y z)) z)>
#<alt (/ (* x (+ y z)) z)>
#<alt (/ (* x (+ y z)) z)>
#<alt (/ (* x (+ y z)) z)>
#<alt (/ (* x (+ y z)) z)>
#<alt (/ (* x (+ y z)) z)>
#<alt (/ (* x (+ y z)) z)>
#<alt (/ (* x (+ y z)) z)>
#<alt (/ (* x y) z)>
#<alt (/ (+ (* x y) (* x z)) z)>
#<alt (/ (+ (* x y) (* x z)) z)>
#<alt (/ (+ (* x y) (* x z)) z)>
#<alt x>
#<alt (+ x (/ (* x y) z))>
#<alt (+ x (/ (* x y) z))>
#<alt (+ x (/ (* x y) z))>
#<alt x>
#<alt (+ x (/ (* x y) z))>
#<alt (+ x (/ (* x y) z))>
#<alt (+ x (/ (* x y) z))>
#<alt x>
#<alt (+ x (/ (* x y) z))>
#<alt (+ x (/ (* x y) z))>
#<alt (+ x (/ (* x y) z))>
#<alt (/ (* x y) z)>
#<alt (* y (+ (/ x y) (/ x z)))>
#<alt (* y (+ (/ x y) (/ x z)))>
#<alt (* y (+ (/ x y) (/ x z)))>
#<alt (/ (* x y) z)>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))>
#<alt (/ z y)>
#<alt (* z (+ (* -1 (/ z (pow y 2))) (/ 1 y)))>
#<alt (* z (+ (* z (- (/ z (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))>
#<alt (* z (+ (* z (- (* z (+ (* -1 (/ z (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ y z)))>
#<alt (- (+ 1 (/ (pow y 2) (pow z 2))) (/ y z))>
#<alt (- (+ 1 (* -1 (/ (pow y 3) (pow z 3)))) (+ (* -1 (/ (pow y 2) (pow z 2))) (/ y z)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ y z)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) z)) (* -1 y)) z)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) z)) (* -1 (pow y 2))) z)) (* -1 y)) z)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ y z)))>
#<alt (+ 1 (* y (- (/ y (pow z 2)) (/ 1 z))))>
#<alt (+ 1 (* y (- (* y (+ (* -1 (/ y (pow z 3))) (/ 1 (pow z 2)))) (/ 1 z))))>
#<alt (/ z y)>
#<alt (/ (+ z (* -1 (/ (pow z 2) y))) y)>
#<alt (/ (- (+ z (/ (pow z 3) (pow y 2))) (/ (pow z 2) y)) y)>
#<alt (/ (- (+ z (* -1 (/ (pow z 4) (pow y 3)))) (+ (* -1 (/ (pow z 3) (pow y 2))) (/ (pow z 2) y))) y)>
#<alt (/ z y)>
#<alt (* -1 (/ (+ (* -1 z) (/ (pow z 2) y)) y))>
#<alt (* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ (pow z 3) y) (pow z 2)) y))) y))>
#<alt (* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ (pow z 4) y) (pow z 3)) y)) (pow z 2)) y))) y))>
#<alt z>
#<alt (+ y z)>
#<alt (+ y z)>
#<alt (+ y z)>
#<alt y>
#<alt (* y (+ 1 (/ z y)))>
#<alt (* y (+ 1 (/ z y)))>
#<alt (* y (+ 1 (/ z y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ z y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ z y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ z y)) 1)))>
#<alt y>
#<alt (+ y z)>
#<alt (+ y z)>
#<alt (+ y z)>
#<alt z>
#<alt (* z (+ 1 (/ y z)))>
#<alt (* z (+ 1 (/ y z)))>
#<alt (* z (+ 1 (/ y z)))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ y z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ y z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ y z)) 1)))>
#<alt (/ (* x (+ y z)) z)>
#<alt (/ (* x (+ y z)) z)>
#<alt (/ (* x (+ y z)) z)>
#<alt (/ (* x (+ y z)) z)>
#<alt (/ (* x (+ y z)) z)>
#<alt (/ (* x (+ y z)) z)>
#<alt (/ (* x (+ y z)) z)>
#<alt (/ (* x (+ y z)) z)>
#<alt (/ (* x (+ y z)) z)>
#<alt (/ (* x (+ y z)) z)>
#<alt (/ (* x (+ y z)) z)>
#<alt (/ (* x (+ y z)) z)>
#<alt (/ (* x y) z)>
#<alt (/ (+ (* x y) (* x z)) z)>
#<alt (/ (+ (* x y) (* x z)) z)>
#<alt (/ (+ (* x y) (* x z)) z)>
#<alt x>
#<alt (+ x (/ (* x y) z))>
#<alt (+ x (/ (* x y) z))>
#<alt (+ x (/ (* x y) z))>
#<alt x>
#<alt (+ x (/ (* x y) z))>
#<alt (+ x (/ (* x y) z))>
#<alt (+ x (/ (* x y) z))>
#<alt x>
#<alt (+ x (/ (* x y) z))>
#<alt (+ x (/ (* x y) z))>
#<alt (+ x (/ (* x y) z))>
#<alt (/ (* x y) z)>
#<alt (* y (+ (/ x y) (/ x z)))>
#<alt (* y (+ (/ x y) (/ x z)))>
#<alt (* y (+ (/ x y) (/ x z)))>
#<alt (/ (* x y) z)>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ 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 (/ x z)>
#<alt (/ 1 z)>
#<alt (+ (* -1 (/ y (pow z 2))) (/ 1 z))>
#<alt (+ (* y (- (/ y (pow z 3)) (/ 1 (pow z 2)))) (/ 1 z))>
#<alt (+ (* y (- (* y (+ (* -1 (/ y (pow z 4))) (/ 1 (pow z 3)))) (/ 1 (pow z 2)))) (/ 1 z))>
#<alt (/ 1 y)>
#<alt (/ (+ 1 (* -1 (/ z y))) y)>
#<alt (/ (- (+ 1 (/ (pow z 2) (pow y 2))) (/ z y)) y)>
#<alt (/ (- (+ 1 (* -1 (/ (pow z 3) (pow y 3)))) (+ (* -1 (/ (pow z 2) (pow y 2))) (/ z y))) y)>
#<alt (/ 1 y)>
#<alt (* -1 (/ (- (/ z y) 1) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow z 2) y) z) y)) 1) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow z 3) y) (pow z 2)) y)) z) y)) 1) y))>
#<alt (/ 1 y)>
#<alt (+ (* -1 (/ z (pow y 2))) (/ 1 y))>
#<alt (+ (* z (- (/ z (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))>
#<alt (+ (* z (- (* z (+ (* -1 (/ z (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))>
#<alt (/ 1 z)>
#<alt (/ (+ 1 (* -1 (/ y z))) z)>
#<alt (/ (- (+ 1 (/ (pow y 2) (pow z 2))) (/ y z)) z)>
#<alt (/ (- (+ 1 (* -1 (/ (pow y 3) (pow z 3)))) (+ (* -1 (/ (pow y 2) (pow z 2))) (/ y z))) z)>
#<alt (/ 1 z)>
#<alt (* -1 (/ (- (/ y z) 1) z))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow y 2) z) y) z)) 1) z))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) z) (pow y 2)) z)) y) z)) 1) z))>

Calls

66 calls:

Time	Variable		Point	Expression
3.0ms	z	@	0	(/ x z)
2.0ms	x	@	0	(+ (/ x (/ z y)) x)
0.0ms	x	@	inf	(+ (/ x (/ z y)) x)
0.0ms	x	@	-inf	(+ (/ x (/ z y)) x)
0.0ms	z	@	-inf	(/ z y)

rewrite301.0ms (5.4%)

Algorithm

1×	batch-egg-rewrite

Rules

4680×	`-lowering-.f32`
4680×	`-lowering-.f64`
3536×	`/-lowering-/.f32`
3536×	`/-lowering-/.f64`
1152×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	44
1	93	43
2	767	43
3	7899	43
0	8020	43

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 723

Calls

Call 1

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

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

simplify275.0ms (4.9%)

Algorithm

1×	egg-herbie

Rules

3872×	`-lowering-.f32`
3872×	`-lowering-.f64`
1878×	`/-lowering-/.f32`
1878×	`/-lowering-/.f64`
1636×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	207	1742
1	685	1600
2	1791	1566
3	7282	1566
0	8221	1566

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

Inputs
(* x (+ 1 (/ y z)))
(* x (+ 1 (/ y z)))
(* x (+ 1 (/ y z)))
(* x (+ 1 (/ y z)))
(* x (+ 1 (/ y z)))
(* x (+ 1 (/ y z)))
(* x (+ 1 (/ y z)))
(* x (+ 1 (/ y z)))
(* -1 (* x (- (* -1 (/ y z)) 1)))
(* -1 (* x (- (* -1 (/ y z)) 1)))
(* -1 (* x (- (* -1 (/ y z)) 1)))
(* -1 (* x (- (* -1 (/ y z)) 1)))
(/ (* x y) z)
(/ (+ (* x y) (* x z)) z)
(/ (+ (* x y) (* x z)) z)
(/ (+ (* x y) (* x z)) z)
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(/ (* x y) z)
(* y (+ (/ x y) (/ x z)))
(* y (+ (/ x y) (/ x z)))
(* y (+ (/ x y) (/ x z)))
(/ (* x y) z)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x 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)
(/ (* 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 z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x y) z)
(/ (+ (* x y) (* x z)) z)
(/ (+ (* x y) (* x z)) z)
(/ (+ (* x y) (* x z)) z)
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(/ (* x y) z)
(* y (+ (/ x y) (/ x z)))
(* y (+ (/ x y) (/ x z)))
(* y (+ (/ x y) (/ x z)))
(/ (* x y) z)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(/ z y)
(* z (+ (* -1 (/ z (pow y 2))) (/ 1 y)))
(* z (+ (* z (- (/ z (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(* z (+ (* z (- (* z (+ (* -1 (/ z (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
1
(+ 1 (* -1 (/ y z)))
(- (+ 1 (/ (pow y 2) (pow z 2))) (/ y z))
(- (+ 1 (* -1 (/ (pow y 3) (pow z 3)))) (+ (* -1 (/ (pow y 2) (pow z 2))) (/ y z)))
1
(+ 1 (* -1 (/ y z)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) z)) (* -1 y)) z)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) z)) (* -1 (pow y 2))) z)) (* -1 y)) z)))
1
(+ 1 (* -1 (/ y z)))
(+ 1 (* y (- (/ y (pow z 2)) (/ 1 z))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow z 3))) (/ 1 (pow z 2)))) (/ 1 z))))
(/ z y)
(/ (+ z (* -1 (/ (pow z 2) y))) y)
(/ (- (+ z (/ (pow z 3) (pow y 2))) (/ (pow z 2) y)) y)
(/ (- (+ z (* -1 (/ (pow z 4) (pow y 3)))) (+ (* -1 (/ (pow z 3) (pow y 2))) (/ (pow z 2) y))) y)
(/ z y)
(* -1 (/ (+ (* -1 z) (/ (pow z 2) y)) y))
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ (pow z 3) y) (pow z 2)) y))) y))
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ (pow z 4) y) (pow z 3)) y)) (pow z 2)) y))) y))
z
(+ y z)
(+ y z)
(+ y z)
y
(* y (+ 1 (/ z y)))
(* y (+ 1 (/ z y)))
(* y (+ 1 (/ z y)))
y
(* -1 (* y (- (* -1 (/ z y)) 1)))
(* -1 (* y (- (* -1 (/ z y)) 1)))
(* -1 (* y (- (* -1 (/ z y)) 1)))
y
(+ y z)
(+ y z)
(+ y z)
z
(* z (+ 1 (/ y z)))
(* z (+ 1 (/ y z)))
(* z (+ 1 (/ y z)))
z
(* -1 (* z (- (* -1 (/ y z)) 1)))
(* -1 (* z (- (* -1 (/ y z)) 1)))
(* -1 (* z (- (* -1 (/ y z)) 1)))
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x y) z)
(/ (+ (* x y) (* x z)) z)
(/ (+ (* x y) (* x z)) z)
(/ (+ (* x y) (* x z)) z)
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(/ (* x y) z)
(* y (+ (/ x y) (/ x z)))
(* y (+ (/ x y) (/ x z)))
(* y (+ (/ x y) (/ x z)))
(/ (* x y) z)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ 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)
(/ x z)
(/ 1 z)
(+ (* -1 (/ y (pow z 2))) (/ 1 z))
(+ (* y (- (/ y (pow z 3)) (/ 1 (pow z 2)))) (/ 1 z))
(+ (* y (- (* y (+ (* -1 (/ y (pow z 4))) (/ 1 (pow z 3)))) (/ 1 (pow z 2)))) (/ 1 z))
(/ 1 y)
(/ (+ 1 (* -1 (/ z y))) y)
(/ (- (+ 1 (/ (pow z 2) (pow y 2))) (/ z y)) y)
(/ (- (+ 1 (* -1 (/ (pow z 3) (pow y 3)))) (+ (* -1 (/ (pow z 2) (pow y 2))) (/ z y))) y)
(/ 1 y)
(* -1 (/ (- (/ z y) 1) y))
(* -1 (/ (- (* -1 (/ (- (/ (pow z 2) y) z) y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow z 3) y) (pow z 2)) y)) z) y)) 1) y))
(/ 1 y)
(+ (* -1 (/ z (pow y 2))) (/ 1 y))
(+ (* z (- (/ z (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))
(+ (* z (- (* z (+ (* -1 (/ z (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))
(/ 1 z)
(/ (+ 1 (* -1 (/ y z))) z)
(/ (- (+ 1 (/ (pow y 2) (pow z 2))) (/ y z)) z)
(/ (- (+ 1 (* -1 (/ (pow y 3) (pow z 3)))) (+ (* -1 (/ (pow y 2) (pow z 2))) (/ y z))) z)
(/ 1 z)
(* -1 (/ (- (/ y z) 1) z))
(* -1 (/ (- (* -1 (/ (- (/ (pow y 2) z) y) z)) 1) z))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) z) (pow y 2)) z)) y) z)) 1) z))

Outputs
(* x (+ 1 (/ y z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(* x (+ 1 (/ y z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(* x (+ 1 (/ y z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(* x (+ 1 (/ y z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(* x (+ 1 (/ y z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(* x (+ 1 (/ y z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(* x (+ 1 (/ y z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(* x (+ 1 (/ y z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(* -1 (* x (- (* -1 (/ y z)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(* -1 (* x (- (* -1 (/ y z)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(* -1 (* x (- (* -1 (/ y z)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(* -1 (* x (- (* -1 (/ y z)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (+ (* x y) (* x z)) z)
(/.f64 (*.f64 x (+.f64 y z)) z)
(/ (+ (* x y) (* x z)) z)
(/.f64 (*.f64 x (+.f64 y z)) z)
(/ (+ (* x y) (* x z)) z)
(/.f64 (*.f64 x (+.f64 y z)) z)
x
(+ x (/ (* x y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(+ x (/ (* x y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(+ x (/ (* x y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
x
(+ x (/ (* x y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(+ x (/ (* x y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(+ x (/ (* x y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
x
(+ x (/ (* x y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(+ x (/ (* x y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(+ x (/ (* x y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(* y (+ (/ x y) (/ x z)))
(*.f64 y (+.f64 (/.f64 x y) (/.f64 x z)))
(* y (+ (/ x y) (/ x z)))
(*.f64 y (+.f64 (/.f64 x y) (/.f64 x z)))
(* y (+ (/ x y) (/ x z)))
(*.f64 y (+.f64 (/.f64 x y) (/.f64 x z)))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(*.f64 y (+.f64 (/.f64 x y) (/.f64 x z)))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(*.f64 y (+.f64 (/.f64 x y) (/.f64 x z)))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(*.f64 y (+.f64 (/.f64 x y) (/.f64 x z)))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 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 z)) z)
(/.f64 (*.f64 x (+.f64 y z)) z)
(/ (* x (+ y z)) z)
(/.f64 (*.f64 x (+.f64 y z)) z)
(/ (* x (+ y z)) z)
(/.f64 (*.f64 x (+.f64 y z)) z)
(/ (* x (+ y z)) z)
(/.f64 (*.f64 x (+.f64 y z)) z)
(/ (* x (+ y z)) z)
(/.f64 (*.f64 x (+.f64 y z)) z)
(/ (* x (+ y z)) z)
(/.f64 (*.f64 x (+.f64 y z)) z)
(/ (* x (+ y z)) z)
(/.f64 (*.f64 x (+.f64 y z)) z)
(/ (* x (+ y z)) z)
(/.f64 (*.f64 x (+.f64 y z)) z)
(/ (* x (+ y z)) z)
(/.f64 (*.f64 x (+.f64 y z)) z)
(/ (* x (+ y z)) z)
(/.f64 (*.f64 x (+.f64 y z)) z)
(/ (* x (+ y z)) z)
(/.f64 (*.f64 x (+.f64 y z)) z)
(/ (* x (+ y z)) z)
(/.f64 (*.f64 x (+.f64 y z)) z)
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (+ (* x y) (* x z)) z)
(/.f64 (*.f64 x (+.f64 y z)) z)
(/ (+ (* x y) (* x z)) z)
(/.f64 (*.f64 x (+.f64 y z)) z)
(/ (+ (* x y) (* x z)) z)
(/.f64 (*.f64 x (+.f64 y z)) z)
x
(+ x (/ (* x y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(+ x (/ (* x y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(+ x (/ (* x y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
x
(+ x (/ (* x y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(+ x (/ (* x y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(+ x (/ (* x y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
x
(+ x (/ (* x y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(+ x (/ (* x y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(+ x (/ (* x y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(* y (+ (/ x y) (/ x z)))
(*.f64 y (+.f64 (/.f64 x y) (/.f64 x z)))
(* y (+ (/ x y) (/ x z)))
(*.f64 y (+.f64 (/.f64 x y) (/.f64 x z)))
(* y (+ (/ x y) (/ x z)))
(*.f64 y (+.f64 (/.f64 x y) (/.f64 x z)))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(*.f64 y (+.f64 (/.f64 x y) (/.f64 x z)))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(*.f64 y (+.f64 (/.f64 x y) (/.f64 x z)))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(*.f64 y (+.f64 (/.f64 x y) (/.f64 x z)))
(/ z y)
(/.f64 z y)
(* z (+ (* -1 (/ z (pow y 2))) (/ 1 y)))
(/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 z y))) y)
(* z (+ (* z (- (/ z (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(.f64 z (/.f64 (+.f64 #s(literal 1 binary64) (.f64 z (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 z y)) y))) y))
(* z (+ (* z (- (* z (+ (* -1 (/ z (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(.f64 z (+.f64 (.f64 z (.f64 z (-.f64 (/.f64 #s(literal 1 binary64) (.f64 y (*.f64 y y))) (/.f64 z (pow.f64 y #s(literal 4 binary64)))))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y z)))
(-.f64 #s(literal 1 binary64) (/.f64 y z))
(- (+ 1 (/ (pow y 2) (pow z 2))) (/ y z))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) (+.f64 (/.f64 y z) #s(literal -1 binary64))))
(- (+ 1 (* -1 (/ (pow y 3) (pow z 3)))) (+ (* -1 (/ (pow y 2) (pow z 2))) (/ y z)))
(+.f64 #s(literal 1 binary64) (.f64 y (/.f64 (+.f64 #s(literal -1 binary64) (.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) z))) z)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y z)))
(-.f64 #s(literal 1 binary64) (/.f64 y z))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) z)) (* -1 y)) z)))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) (+.f64 (/.f64 y z) #s(literal -1 binary64))))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) z)) (* -1 (pow y 2))) z)) (* -1 y)) z)))
(+.f64 #s(literal 1 binary64) (.f64 y (/.f64 (+.f64 #s(literal -1 binary64) (.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) z))) z)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y z)))
(-.f64 #s(literal 1 binary64) (/.f64 y z))
(+ 1 (* y (- (/ y (pow z 2)) (/ 1 z))))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) (+.f64 (/.f64 y z) #s(literal -1 binary64))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow z 3))) (/ 1 (pow z 2)))) (/ 1 z))))
(+.f64 #s(literal 1 binary64) (.f64 y (/.f64 (+.f64 #s(literal -1 binary64) (.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) z))) z)))
(/ z y)
(/.f64 z y)
(/ (+ z (* -1 (/ (pow z 2) y))) y)
(/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 z y))) y)
(/ (- (+ z (/ (pow z 3) (pow y 2))) (/ (pow z 2) y)) y)
(/.f64 (+.f64 z (.f64 (/.f64 (.f64 z z) y) (+.f64 #s(literal -1 binary64) (/.f64 z y)))) y)
(/ (- (+ z (* -1 (/ (pow z 4) (pow y 3)))) (+ (* -1 (/ (pow z 3) (pow y 2))) (/ (pow z 2) y))) y)
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 y y)) (.f64 z (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 z y))))) y) z) y))
(/ z y)
(/.f64 z y)
(* -1 (/ (+ (* -1 z) (/ (pow z 2) y)) y))
(/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 z y))) y)
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ (pow z 3) y) (pow z 2)) y))) y))
(/.f64 (+.f64 z (.f64 (/.f64 (.f64 z z) y) (+.f64 #s(literal -1 binary64) (/.f64 z y)))) y)
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ (pow z 4) y) (pow z 3)) y)) (pow z 2)) y))) y))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (.f64 y y)) (.f64 z (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 z y))))) y) z) y))
z
(+ y z)
(+.f64 y z)
(+ y z)
(+.f64 y z)
(+ y z)
(+.f64 y z)
y
(* y (+ 1 (/ z y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))
(* y (+ 1 (/ z y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))
(* y (+ 1 (/ z y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))
y
(* -1 (* y (- (* -1 (/ z y)) 1)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))
(* -1 (* y (- (* -1 (/ z y)) 1)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))
(* -1 (* y (- (* -1 (/ z y)) 1)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 z y)))
y
(+ y z)
(+.f64 y z)
(+ y z)
(+.f64 y z)
(+ y z)
(+.f64 y z)
z
(* z (+ 1 (/ y z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(* z (+ 1 (/ y z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(* z (+ 1 (/ y z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))
z
(* -1 (* z (- (* -1 (/ y z)) 1)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(* -1 (* z (- (* -1 (/ y z)) 1)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(* -1 (* z (- (* -1 (/ y z)) 1)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(/ (* x (+ y z)) z)
(/.f64 (*.f64 x (+.f64 y z)) z)
(/ (* x (+ y z)) z)
(/.f64 (*.f64 x (+.f64 y z)) z)
(/ (* x (+ y z)) z)
(/.f64 (*.f64 x (+.f64 y z)) z)
(/ (* x (+ y z)) z)
(/.f64 (*.f64 x (+.f64 y z)) z)
(/ (* x (+ y z)) z)
(/.f64 (*.f64 x (+.f64 y z)) z)
(/ (* x (+ y z)) z)
(/.f64 (*.f64 x (+.f64 y z)) z)
(/ (* x (+ y z)) z)
(/.f64 (*.f64 x (+.f64 y z)) z)
(/ (* x (+ y z)) z)
(/.f64 (*.f64 x (+.f64 y z)) z)
(/ (* x (+ y z)) z)
(/.f64 (*.f64 x (+.f64 y z)) z)
(/ (* x (+ y z)) z)
(/.f64 (*.f64 x (+.f64 y z)) z)
(/ (* x (+ y z)) z)
(/.f64 (*.f64 x (+.f64 y z)) z)
(/ (* x (+ y z)) z)
(/.f64 (*.f64 x (+.f64 y z)) z)
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (+ (* x y) (* x z)) z)
(/.f64 (*.f64 x (+.f64 y z)) z)
(/ (+ (* x y) (* x z)) z)
(/.f64 (*.f64 x (+.f64 y z)) z)
(/ (+ (* x y) (* x z)) z)
(/.f64 (*.f64 x (+.f64 y z)) z)
x
(+ x (/ (* x y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(+ x (/ (* x y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(+ x (/ (* x y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
x
(+ x (/ (* x y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(+ x (/ (* x y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(+ x (/ (* x y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
x
(+ x (/ (* x y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(+ x (/ (* x y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(+ x (/ (* x y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(* y (+ (/ x y) (/ x z)))
(*.f64 y (+.f64 (/.f64 x y) (/.f64 x z)))
(* y (+ (/ x y) (/ x z)))
(*.f64 y (+.f64 (/.f64 x y) (/.f64 x z)))
(* y (+ (/ x y) (/ x z)))
(*.f64 y (+.f64 (/.f64 x y) (/.f64 x z)))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(*.f64 y (+.f64 (/.f64 x y) (/.f64 x z)))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(*.f64 y (+.f64 (/.f64 x y) (/.f64 x z)))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(*.f64 y (+.f64 (/.f64 x y) (/.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)
(/ x z)
(/.f64 x z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(+ (* -1 (/ y (pow z 2))) (/ 1 z))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) z)
(+ (* y (- (/ y (pow z 3)) (/ 1 (pow z 2)))) (/ 1 z))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) (+.f64 (/.f64 y z) #s(literal -1 binary64)))) z)
(+ (* y (- (* y (+ (* -1 (/ y (pow z 4))) (/ 1 (pow z 3)))) (/ 1 (pow z 2)))) (/ 1 z))
(+.f64 (.f64 (.f64 y y) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))) (/.f64 y (pow.f64 z #s(literal 4 binary64))))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) z))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ (+ 1 (* -1 (/ z y))) y)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y)
(/ (- (+ 1 (/ (pow z 2) (pow y 2))) (/ z y)) y)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 z y)) y))) y)
(/ (- (+ 1 (* -1 (/ (pow z 3) (pow y 3)))) (+ (* -1 (/ (pow z 2) (pow y 2))) (/ z y))) y)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 z (/.f64 (.f64 z (-.f64 #s(literal 1 binary64) (/.f64 z y))) y)) z) y)) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(* -1 (/ (- (/ z y) 1) y))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y)
(* -1 (/ (- (* -1 (/ (- (/ (pow z 2) y) z) y)) 1) y))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 z y)) y))) y)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow z 3) y) (pow z 2)) y)) z) y)) 1) y))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 z (/.f64 (.f64 z (-.f64 #s(literal 1 binary64) (/.f64 z y))) y)) z) y)) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ (* -1 (/ z (pow y 2))) (/ 1 y))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y)
(+ (* z (- (/ z (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 z y)) y))) y)
(+ (* z (- (* z (+ (* -1 (/ z (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))
(+.f64 (.f64 z (.f64 z (-.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))) (/.f64 z (pow.f64 y #s(literal 4 binary64)))))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y))
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ (+ 1 (* -1 (/ y z))) z)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) z)
(/ (- (+ 1 (/ (pow y 2) (pow z 2))) (/ y z)) z)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) (+.f64 (/.f64 y z) #s(literal -1 binary64)))) z)
(/ (- (+ 1 (* -1 (/ (pow y 3) (pow z 3)))) (+ (* -1 (/ (pow y 2) (pow z 2))) (/ y z))) z)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 y (/.f64 (+.f64 #s(literal -1 binary64) (.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) z))) z))) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(* -1 (/ (- (/ y z) 1) z))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) z)
(* -1 (/ (- (* -1 (/ (- (/ (pow y 2) z) y) z)) 1) z))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) (+.f64 (/.f64 y z) #s(literal -1 binary64)))) z)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) z) (pow y 2)) z)) y) z)) 1) z))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 y (/.f64 (+.f64 #s(literal -1 binary64) (.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) z))) z))) z)

eval135.0ms (2.4%)

Compiler: Compiled 20843 to 1813 computations (91.3% saved)

prune117.0ms (2.1%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	1247	2	1249
Fresh	2	1	3
Picked	1	4	5
Done	0	0	0
Total	1250	7	1257

Accuracy

100.0%

Counts

1257 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	47.4%	(/.f64 (*.f64 x y) z)
▶	47.6%	(/.f64 y (/.f64 z x))
✓	96.8%	(/.f64 x (/.f64 z (+.f64 y z)))
✓	47.9%	(/.f64 x (/.f64 z y))
✓	96.8%	(+.f64 (/.f64 x (/.f64 z y)) x)
▶	47.7%	(*.f64 (/.f64 y z) x)
✓	51.3%	x

Compiler

Compiled 56 to 35 computations (37.5% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 x y)
✓	cost-diff	(/.f64 (*.f64 x y) z)
✓	cost-diff	(/.f64 z x)
✓	cost-diff	(/.f64 y (/.f64 z x))
✓	cost-diff	(/.f64 y z)
✓	cost-diff	(*.f64 (/.f64 y z) x)

Rules

12×	`-lowering-.f32`
12×	`-lowering-.f64`
10×	`/-lowering-/.f32`
10×	`/-lowering-/.f64`
6×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	33
1	12	33
2	14	33
3	15	33
0	15	33

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize68.0ms (1.2%)

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	93.8%	(/.f64 (*.f64 x y) z)
✓	accuracy	100.0%	(/.f64 z x)
✓	accuracy	92.0%	(/.f64 y (/.f64 z x))
✓	accuracy	100.0%	(/.f64 y z)
✓	accuracy	93.3%	(*.f64 (/.f64 y z) x)

Results

58.0ms

256×

valid

Compiler

Compiled 37 to 10 computations (73% saved)

Precisions

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

ival-mult: 8.0ms (51.8% of total)

ival-div: 7.0ms (45.3% of total)

const: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Counts

6 → 180

Calls

Call 1

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

Outputs
#<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 (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ (* 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) 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 (* 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)>

Calls

45 calls:

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

rewrite371.0ms (6.6%)

Algorithm

1×	batch-egg-rewrite

Rules

2348×	`-lowering-.f32`
2348×	`-lowering-.f64`
1608×	`/-lowering-/.f32`
1608×	`/-lowering-/.f64`
1486×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	24
1	37	24
2	181	24
3	870	24
4	4671	24
0	8171	24

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 573

Calls

Call 1

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

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

simplify18.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

12×	`-lowering-.f32`
12×	`-lowering-.f64`
8×	`/-lowering-/.f32`
8×	`/-lowering-/.f64`
6×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	756
1	9	756
2	12	756
3	13	756
0	13	756

Stop Event

1×	iter limit
1×	saturated

Counts

180 → 180

Calls

Call 1

Inputs
(/ (* 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)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ (* 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) 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)
(* 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)

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

eval101.0ms (1.8%)

Compiler: Compiled 8284 to 789 computations (90.5% saved)

prune74.0ms (1.3%)

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	753	0	753
Fresh	0	0	0
Picked	0	3	3
Done	0	4	4
Total	753	7	760

Accuracy

100.0%

Counts

760 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	47.4%	(/.f64 (*.f64 x y) z)
✓	47.6%	(/.f64 y (/.f64 z x))
✓	96.8%	(/.f64 x (/.f64 z (+.f64 y z)))
✓	47.9%	(/.f64 x (/.f64 z y))
✓	96.8%	(+.f64 (/.f64 x (/.f64 z y)) x)
✓	47.7%	(*.f64 (/.f64 y z) x)
✓	51.3%	x

Compiler

Compiled 131 to 61 computations (53.4% saved)

regimes31.0ms (0.5%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

4 calls:

17.0ms	z
4.0ms	y
4.0ms	x
4.0ms	(/.f64 (*.f64 x (+.f64 y z)) z)

Results

Accuracy	Segments	Branch
96.8%	1	`x`
96.8%	1	`y`
96.8%	1	`z`
96.8%	1	`(/.f64 (*.f64 x (+.f64 y z)) z)`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes26.0ms (0.5%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

20.0ms	x
3.0ms	z
3.0ms	y

Results

Accuracy	Segments	Branch
96.5%	1	`x`
96.5%	1	`y`
96.5%	1	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes8.0ms (0.1%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	z
3.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
56.4%	3	`x`
76.1%	3	`y`
75.3%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0.1%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	z
2.0ms	y

Results

Accuracy	Segments	Branch
73.9%	3	`z`
73.9%	3	`y`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes4.0ms (0.1%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	z
2.0ms	y

Results

Accuracy	Segments	Branch
73.7%	3	`z`
73.7%	3	`y`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes9.0ms (0.2%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

3 calls:

6.0ms	y
1.0ms	z
1.0ms	x

Results

Accuracy	Segments	Branch
51.3%	1	`x`
51.3%	1	`z`
51.3%	1	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch25.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	10.363953362608102	54340.79027717188
10.0ms	-6.694658083144805e+82	-4.0820477698266867e+80

Results

16.0ms

240×

valid

Compiler

Compiled 226 to 161 computations (28.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-div: 2.0ms (36.8% of total)

ival-add: 2.0ms (36.8% of total)

ival-mult: 2.0ms (36.8% of total)

const: 0.0ms (0% of total)

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

bsearch27.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	10.363953362608102	54340.79027717188
10.0ms	-6.694658083144805e+82	-4.0820477698266867e+80

Results

18.0ms

240×

valid

Compiler

Compiled 226 to 161 computations (28.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-div: 2.0ms (35.6% of total)

ival-add: 2.0ms (35.6% of total)

ival-mult: 2.0ms (35.6% of total)

const: 0.0ms (0% of total)

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

bsearch27.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	10.363953362608102	54340.79027717188
10.0ms	-6.694658083144805e+82	-4.0820477698266867e+80

Results

18.0ms

240×

valid

Compiler

Compiled 226 to 161 computations (28.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-add: 5.0ms (53.7% of total)

ival-div: 2.0ms (21.5% of total)

ival-mult: 2.0ms (21.5% of total)

const: 0.0ms (0% of total)

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

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	60
1	47	60

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (/.f64 x (/.f64 z y)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(if (<=.f64 y #s(literal -440000000000000005382697988144675351660471949380805175976535470822810501947326464 binary64)) (/.f64 y (/.f64 z x)) (if (<=.f64 y #s(literal 5000 binary64)) x (/.f64 y (/.f64 z x))))
(if (<=.f64 y #s(literal -420000000000000002744568723489072228905040777052804206184531690318384768806289408 binary64)) (/.f64 x (/.f64 z y)) (if (<=.f64 y #s(literal 8200 binary64)) x (/.f64 x (/.f64 z y))))
(if (<=.f64 y #s(literal -579999999999999971193457006455303861989476313841595805073014234079235006779097088 binary64)) (.f64 x (/.f64 y z)) (if (<=.f64 y #s(literal 6000 binary64)) x (.f64 x (/.f64 y z))))
x

Outputs
(+.f64 (/.f64 x (/.f64 z y)) x)
(+.f64 x (/.f64 x (/.f64 z y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(if (<=.f64 y #s(literal -440000000000000005382697988144675351660471949380805175976535470822810501947326464 binary64)) (/.f64 y (/.f64 z x)) (if (<=.f64 y #s(literal 5000 binary64)) x (/.f64 y (/.f64 z x))))
(if (<=.f64 y #s(literal -420000000000000002744568723489072228905040777052804206184531690318384768806289408 binary64)) (/.f64 x (/.f64 z y)) (if (<=.f64 y #s(literal 8200 binary64)) x (/.f64 x (/.f64 z y))))
(if (<=.f64 y #s(literal -579999999999999971193457006455303861989476313841595805073014234079235006779097088 binary64)) (.f64 x (/.f64 y z)) (if (<=.f64 y #s(literal 6000 binary64)) x (.f64 x (/.f64 y z))))
x

soundness1.6s (28%)

Rules

4680×	`-lowering-.f32`
4680×	`-lowering-.f64`
3748×	`-lowering-.f32`
3748×	`-lowering-.f64`
3536×	`/-lowering-/.f32`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	16	7
2	24	7
3	27	7
4	35	7
5	43	7
6	47	7
7	56	6
8	67	6
9	176	6
10	598	6
11	2548	6
12	4101	6
13	4426	6
14	4567	6
15	4678	6
16	4825	6
17	5001	6
18	6578	6
19	7853	6
0	8044	6
0	56	858
1	201	798
2	573	798
3	1754	798
4	5175	798
0	8358	798
0	13	44
1	93	43
2	767	43
3	7899	43
0	8020	43
0	10	30
1	67	30
2	540	29
3	7406	29
0	8095	29

Stop Event

1×	done
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 223 to 132 computations (40.8% saved)

preprocess69.0ms (1.2%)

Remove: (negabs x)
Compiler: Compiled 250 to 122 computations (51.2% saved)

analyze62.0ms (1.1%)

sample771.0ms (13.8%)

preprocess271.0ms (4.8%)

explain67.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify232.0ms (4.1%)

localize52.0ms (0.9%)

series13.0ms (0.2%)

rewrite284.0ms (5.1%)

simplify152.0ms (2.7%)

eval51.0ms (0.9%)

prune100.0ms (1.8%)

simplify178.0ms (3.2%)

localize75.0ms (1.3%)

series16.0ms (0.3%)

rewrite301.0ms (5.4%)

simplify275.0ms (4.9%)

eval135.0ms (2.4%)

prune117.0ms (2.1%)

simplify5.0ms (0.1%)

localize68.0ms (1.2%)

series4.0ms (0.1%)

rewrite371.0ms (6.6%)

simplify18.0ms (0.3%)

eval101.0ms (1.8%)

prune74.0ms (1.3%)

regimes31.0ms (0.5%)

regimes26.0ms (0.5%)

regimes8.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes9.0ms (0.2%)

bsearch25.0ms (0.4%)

bsearch27.0ms (0.5%)

bsearch27.0ms (0.5%)

simplify8.0ms (0.1%)

soundness1.6s (28%)

preprocess69.0ms (1.2%)

end0.0ms (0%)

Profiling