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

analyze62.0ms (1.2%)

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: 11.0ms

ival-add: 4.0ms (34.9% of total)

ival-mult: 4.0ms (34.9% of total)

ival-div: 2.0ms (17.5% of total)

const: 0.0ms (0% of total)

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

sample858.0ms (16.2%)

Results

649.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 233.0ms

ival-add: 89.0ms (38.2% of total)

ival-mult: 67.0ms (28.7% of total)

ival-div: 66.0ms (28.3% of total)

const: 8.0ms (3.4% of total)

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

Bogosity

preprocess256.0ms (4.9%)

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)

explain85.0ms (1.6%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
31	-	-	`(/.f64 (*.f64 x (+.f64 y z)) z)`
0	-	-	`x`
0	-	-	`(*.f64 x (+.f64 y z))`
0	-	-	`z`
0	-	-	`(+.f64 y z)`
0	-	-	`y`

Results

64.0ms

512×

valid

Compiler

Compiled 54 to 20 computations (63% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 9.0ms (52.4% of total)

ival-div: 4.0ms (23.3% of total)

ival-add: 3.0ms (17.5% 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
▶	88.3%	(/.f64 (*.f64 x (+.f64 y z)) z)
▶	95.1%	(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))

Compiler

Compiled 20 to 13 computations (35% saved)

simplify224.0ms (4.2%)

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

localize51.0ms (1%)

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	88.3%	(/.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	95.1%	(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))

Results

38.0ms

256×

valid

Compiler

Compiled 41 to 11 computations (73.2% saved)

Precisions

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

ival-div: 4.0ms (36.9% of total)

ival-add: 3.0ms (27.7% of total)

ival-mult: 3.0ms (27.7% 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	y	@	inf	(* x (+ 1 (/ y z)))
1.0ms	x	@	0	(* x (+ 1 (/ y z)))
1.0ms	x	@	0	(/ (* x (+ y z)) z)

rewrite256.0ms (4.8%)

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

simplify169.0ms (3.2%)

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)

eval65.0ms (1.2%)

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

prune48.0ms (0.9%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	483	7	490
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	485	7	492

Accuracy

100.0%

Counts

492 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.8%	(/.f64 (*.f64 x y) z)
▶	52.4%	(/.f64 x (/.f64 z y))
	88.1%	(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x (+.f64 y z))))
▶	95.5%	(+.f64 (/.f64 x (/.f64 z y)) x)
	83.2%	(*.f64 (/.f64 x z) (+.f64 y z))
▶	52.0%	(*.f64 x (/.f64 y z))
▶	45.0%	x

Compiler

Compiled 120 to 76 computations (36.7% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

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

Rules

64×	`-lowering-.f32`
64×	`-lowering-.f64`
56×	`fma-define`
38×	`associate-l`
28×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	52
1	15	51
2	17	51
3	23	51
4	27	51
5	33	51
6	43	51
7	67	51
8	91	51
9	120	51
10	122	51
0	122	51

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize67.0ms (1.3%)

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	92.3%	(/.f64 (*.f64 x y) z)
✓	accuracy	100.0%	(/.f64 z y)
✓	accuracy	93.2%	(/.f64 x (/.f64 z y))
✓	accuracy	100.0%	(/.f64 y z)
✓	accuracy	92.8%	(*.f64 x (/.f64 y z))
✓	accuracy	100.0%	(/.f64 z y)
✓	accuracy	100.0%	(+.f64 (/.f64 x (/.f64 z y)) x)
✓	accuracy	93.2%	(/.f64 x (/.f64 z y))

Results

51.0ms

256×

valid

Compiler

Compiled 56 to 11 computations (80.4% saved)

Precisions

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

ival-div: 8.0ms (57.2% of total)

ival-mult: 4.0ms (28.6% of total)

ival-add: 1.0ms (7.2% of total)

const: 0.0ms (0% of total)

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

series10.0ms (0.2%)

Counts

7 → 216

Calls

Call 1

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

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)>
#<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 (* 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

54 calls:

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

rewrite239.0ms (4.5%)

Algorithm

1×	batch-egg-rewrite

Rules

3988×	`-lowering-.f32`
3988×	`-lowering-.f64`
2424×	`/-lowering-/.f32`
2424×	`/-lowering-/.f64`
1216×	`sum3-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	31
1	49	30
2	485	30
3	6946	30
0	8087	30

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 331

Calls

Call 1

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

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

simplify143.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1804×	`sum4-define`
1718×	`fnmadd-define`
1460×	`fmsub-define`
1448×	`fnmsub-define`
1312×	`fmm-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	984
1	86	957
2	228	957
3	510	957
4	1517	957
5	4222	957
6	7793	957
0	8367	957

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

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

eval86.0ms (1.6%)

Compiler: Compiled 7443 to 591 computations (92.1% saved)

prune74.0ms (1.4%)

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	703	3	706
Fresh	2	0	2
Picked	0	5	5
Done	0	0	0
Total	705	8	713

Accuracy

100.0%

Counts

713 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.8%	(/.f64 (*.f64 x y) z)
▶	52.9%	(/.f64 y (/.f64 z x))
✓	52.4%	(/.f64 x (/.f64 z y))
✓	95.5%	(+.f64 (/.f64 x (/.f64 z y)) x)
▶	52.5%	(*.f64 (/.f64 x z) y)
▶	95.1%	(*.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) x)
✓	52.0%	(*.f64 x (/.f64 y z))
✓	45.0%	x

Compiler

Compiled 64 to 41 computations (35.9% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

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

Rules

64×	`-lowering-.f32`
64×	`-lowering-.f64`
44×	`fma-define`
32×	`associate-l`
28×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	41
1	19	41
2	30	40
3	46	40
4	71	40
5	84	40
6	106	40
7	115	40
0	115	40

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize58.0ms (1.1%)

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 z x)
✓	accuracy	89.3%	(/.f64 y (/.f64 z x))
✓	accuracy	100.0%	(/.f64 x z)
✓	accuracy	89.1%	(*.f64 (/.f64 x z) y)
✓	accuracy	100.0%	(/.f64 y z)
✓	accuracy	100.0%	(+.f64 (/.f64 y z) #s(literal 1 binary64))
✓	accuracy	95.1%	(*.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) x)

Results

47.0ms

256×

valid

Compiler

Compiled 45 to 12 computations (73.3% saved)

Precisions

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

ival-div: 10.0ms (61.3% of total)

ival-mult: 5.0ms (30.7% of total)

ival-add: 1.0ms (6.1% of total)

const: 0.0ms (0% of total)

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

series10.0ms (0.2%)

Counts

7 → 204

Calls

Call 1

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

Outputs
#<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 (+ 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 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)>
#<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 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 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)>

Calls

51 calls:

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

rewrite195.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

2226×	`-lowering-.f32`
2226×	`-lowering-.f64`
1912×	`/-lowering-/.f32`
1912×	`/-lowering-/.f64`
1252×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	31
1	51	31
2	357	30
3	5745	30
0	8088	30

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 360

Calls

Call 1

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

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

simplify178.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

1962×	`--lowering--.f32`
1962×	`--lowering--.f64`
1630×	`sum3-define`
1506×	`fnmsub-define`
1502×	`unsub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	906
1	87	879
2	211	879
3	454	879
4	1707	879
5	5906	879
0	8494	879

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

Inputs
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 (+ 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)))
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)
(/ (* 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 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 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)

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

eval62.0ms (1.2%)

Compiler: Compiled 6417 to 718 computations (88.8% saved)

prune199.0ms (3.8%)

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	564	0	564
Fresh	0	0	0
Picked	0	3	3
Done	0	5	5
Total	564	8	572

Accuracy

100.0%

Counts

572 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.8%	(/.f64 (*.f64 x y) z)
✓	52.9%	(/.f64 y (/.f64 z x))
✓	52.4%	(/.f64 x (/.f64 z y))
✓	95.5%	(+.f64 (/.f64 x (/.f64 z y)) x)
✓	52.5%	(*.f64 (/.f64 x z) y)
✓	95.1%	(*.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) x)
✓	52.0%	(*.f64 x (/.f64 y z))
✓	45.0%	x

Compiler

Compiled 137 to 66 computations (51.8% saved)

regimes23.0ms (0.4%)

Counts

12 → 2

Calls

Call 1

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

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

Calls

4 calls:

10.0ms	y
4.0ms	x
4.0ms	z
4.0ms	(/.f64 (*.f64 x (+.f64 y z)) z)

Results

Accuracy	Segments	Branch
98.0%	2	`x`
95.5%	1	`y`
95.5%	1	`z`
95.5%	1	`(/.f64 (*.f64 x (+.f64 y z)) z)`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes4.0ms (0.1%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
95.5%	1	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes21.0ms (0.4%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

3 calls:

13.0ms	y
3.0ms	z
3.0ms	x

Results

Accuracy	Segments	Branch
95.1%	1	`y`
95.1%	1	`z`
95.1%	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes8.0ms (0.2%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	x
3.0ms	z
3.0ms	y

Results

Accuracy	Segments	Branch
75.8%	3	`y`
74.7%	3	`z`
63.9%	6	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes3.0ms (0.1%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
75.0%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes3.0ms (0.1%)

Counts

2 → 3

Calls

Call 1

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

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
71.8%	3	`z`
72.3%	3	`y`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes8.0ms (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	z
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
45.0%	1	`x`
45.0%	1	`z`
45.0%	1	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch11.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
10.0ms	4.1019592292069996e-103	1.0194481872349302e-97

Results

7.0ms

112×

valid

Compiler

Compiled 170 to 116 computations (31.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-div: 1.0ms (38.4% of total)

ival-add: 1.0ms (38.4% of total)

ival-mult: 1.0ms (38.4% of total)

const: 0.0ms (0% of total)

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

bsearch34.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
25.0ms	4.027328713551916e-18	3.6460556403440284e-11
8.0ms	-4.4997229116299525e-92	-2.1382924858113336e-92

Results

26.0ms

224×

valid

Compiler

Compiled 212 to 151 computations (28.8% saved)

Precisions

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

ival-add: 9.0ms (73.7% of total)

ival-div: 2.0ms (16.4% of total)

ival-mult: 2.0ms (16.4% of total)

const: 0.0ms (0% of total)

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

bsearch24.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	4.027328713551916e-18	3.6460556403440284e-11
9.0ms	-4.4997229116299525e-92	-2.1382924858113336e-92

Results

13.0ms

224×

valid

Compiler

Compiled 212 to 151 computations (28.8% saved)

Precisions

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

ival-div: 2.0ms (39.4% of total)

ival-mult: 2.0ms (39.4% of total)

ival-add: 1.0ms (19.7% of total)

const: 0.0ms (0% of total)

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

bsearch22.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	4.027328713551916e-18	3.6460556403440284e-11
7.0ms	-4.4997229116299525e-92	-2.1382924858113336e-92

Results

14.0ms

224×

valid

Compiler

Compiled 212 to 151 computations (28.8% saved)

Precisions

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

ival-div: 2.0ms (40% of total)

ival-mult: 2.0ms (40% of total)

ival-add: 1.0ms (20% of total)

const: 0.0ms (0% of total)

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

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	82
1	54	82

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal 6156563468186637/76957043352332967211482500195592995713046365762627825523336510555167425334955489475418488779072100860950445293568 binary64)) (/.f64 (.f64 x (+.f64 y z)) z) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z))))
(+.f64 (/.f64 x (/.f64 z y)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(if (<=.f64 y #s(literal -4330125386989255/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936 binary64)) (/.f64 (.f64 x y) z) (if (<=.f64 y #s(literal 4259306016766851/20282409603651670423947251286016 binary64)) x (.f64 (/.f64 x z) y)))
(if (<=.f64 y #s(literal -6458492102628041/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936 binary64)) (.f64 (/.f64 x z) y) (if (<=.f64 y #s(literal 4283644908291233/649037107316853453566312041152512 binary64)) x (.f64 (/.f64 x z) y)))
(if (<=.f64 y #s(literal -6458492102628041/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936 binary64)) (.f64 x (/.f64 y z)) (if (<=.f64 y #s(literal 735237348132373/2535301200456458802993406410752 binary64)) x (.f64 x (/.f64 y z))))
x

Outputs
(if (<=.f64 x #s(literal 6156563468186637/76957043352332967211482500195592995713046365762627825523336510555167425334955489475418488779072100860950445293568 binary64)) (/.f64 (.f64 x (+.f64 y z)) z) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z))))
(+.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 -4330125386989255/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936 binary64)) (/.f64 (.f64 x y) z) (if (<=.f64 y #s(literal 4259306016766851/20282409603651670423947251286016 binary64)) x (.f64 (/.f64 x z) y)))
(if (<=.f64 y #s(literal -4330125386989255/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936 binary64)) (/.f64 (.f64 x y) z) (if (<=.f64 y #s(literal 4259306016766851/20282409603651670423947251286016 binary64)) x (.f64 y (/.f64 x z))))
(if (<=.f64 y #s(literal -6458492102628041/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936 binary64)) (.f64 (/.f64 x z) y) (if (<=.f64 y #s(literal 4283644908291233/649037107316853453566312041152512 binary64)) x (.f64 (/.f64 x z) y)))
(if (<=.f64 y #s(literal -6458492102628041/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936 binary64)) (.f64 y (/.f64 x z)) (if (<=.f64 y #s(literal 4283644908291233/649037107316853453566312041152512 binary64)) x (.f64 y (/.f64 x z))))
(if (<=.f64 y #s(literal -6458492102628041/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936 binary64)) (.f64 x (/.f64 y z)) (if (<=.f64 y #s(literal 735237348132373/2535301200456458802993406410752 binary64)) x (.f64 x (/.f64 y z))))
x

soundness1.5s (29.2%)

Rules

3988×	`-lowering-.f32`
3988×	`-lowering-.f64`
3748×	`-lowering-.f32`
3748×	`-lowering-.f64`
3304×	`-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	10	31
1	49	30
2	485	30
3	6946	30
0	8087	30
0	10	30
1	67	30
2	540	29
3	7406	29
0	8095	29
0	56	858
1	201	798
2	573	798
3	1754	798
4	5175	798
0	8358	798

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 267 to 155 computations (41.9% saved)

preprocess139.0ms (2.6%)

Compiler: Compiled 352 to 176 computations (50% saved)

Iter	Nodes	Cost
0	10	52
1	15	51
2	17	51
3	23	51
4	27	51
5	33	51
6	43	51
7	67	51
8	91	51
9	120	51
10	122	51
0	122	51

Iter	Nodes	Cost
0	10	52
1	15	51
2	17	51
3	23	51
4	27	51
5	33	51
6	43	51
7	67	51
8	91	51
9	120	51
10	122	51
0	122	51

analyze62.0ms (1.2%)

sample858.0ms (16.2%)

preprocess256.0ms (4.9%)

explain85.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify224.0ms (4.2%)

localize51.0ms (1%)

series13.0ms (0.2%)

rewrite256.0ms (4.8%)

simplify169.0ms (3.2%)

eval65.0ms (1.2%)

prune48.0ms (0.9%)

simplify8.0ms (0.1%)

localize67.0ms (1.3%)

series10.0ms (0.2%)

rewrite239.0ms (4.5%)

simplify143.0ms (2.7%)

eval86.0ms (1.6%)

prune74.0ms (1.4%)

simplify8.0ms (0.1%)

localize58.0ms (1.1%)

series10.0ms (0.2%)

rewrite195.0ms (3.7%)

simplify178.0ms (3.4%)

eval62.0ms (1.2%)

prune199.0ms (3.8%)

regimes23.0ms (0.4%)

regimes4.0ms (0.1%)

regimes21.0ms (0.4%)

regimes8.0ms (0.2%)

regimes3.0ms (0.1%)

regimes3.0ms (0.1%)

regimes8.0ms (0.2%)

bsearch11.0ms (0.2%)

bsearch34.0ms (0.6%)

bsearch24.0ms (0.5%)

bsearch22.0ms (0.4%)

simplify11.0ms (0.2%)

soundness1.5s (29.2%)

preprocess139.0ms (2.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	10	52
1	15	51
2	17	51
3	23	51
4	27	51
5	33	51
6	43	51
7	67	51
8	91	51
9	120	51
10	122	51
0	122	51