Metrics for Optimisation.CirclePacking:place from circle-packing-0.1.0.4, H

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 11 to 8 computations (27.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

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

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

const: 0.0ms (0% of total)

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

sample791.0ms (10.9%)

Results

591.0ms	8255×	0	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 269.0ms

ival-sub: 103.0ms (38.3% of total)

ival-mult: 86.0ms (31.9% of total)

ival-add: 66.0ms (24.5% of total)

const: 12.0ms (4.5% of total)

backward-pass: 3.0ms (1.1% of total)

Bogosity

preprocess251.0ms (3.5%)

Algorithm

2×	egg-herbie

Rules

3332×	`sum5-define`
2032×	`fnmadd-define`
1700×	`fmsub-define`
1680×	`fmsub-define`
1612×	`fnmsub-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	75
1	69	71
2	235	70
3	946	70
4	5376	70
0	7	7
1	13	7
2	31	7
3	83	7
4	557	7
5	1441	7
6	2596	7
7	4896	7
8	5865	7
9	7643	7
10	7879	7
11	7879	7
0	8679	7

Stop Event

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

Calls

Call 1

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

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

Call 2

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

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

Symmetry

(sort x y)

explain56.0ms (0.8%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`x`
-	-	`z`
-	-	`(+.f64 x y)`
-	-	`#s(literal 1 binary64)`
-	-	`(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))`
-	-	`y`
-	-	`(-.f64 #s(literal 1 binary64) z)`

Results

35.0ms

512×

valid

Compiler

Compiled 52 to 23 computations (55.8% saved)

Precisions

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

ival-mult: 4.0ms (36.5% of total)

ival-sub: 3.0ms (27.4% of total)

ival-add: 3.0ms (27.4% of total)

const: 1.0ms (9.1% 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
▶	100.0%	(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))

Compiler

Compiled 10 to 7 computations (30% saved)

simplify172.0ms (2.4%)

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

3332×	`sum5-define`
2032×	`fnmadd-define`
1700×	`fmsub-define`
1612×	`fnmsub-define`
1564×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	13	17
2	31	17
3	83	17
4	557	17
5	1441	17
6	2596	17
7	4896	17
8	5865	17
9	7643	17
10	7879	17
11	7879	17
0	8679	17

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize24.0ms (0.3%)

Localize:

Found 3 expressions of interest:

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

Results

17.0ms

256×

valid

Compiler

Compiled 21 to 8 computations (61.9% saved)

Precisions

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

ival-add: 2.0ms (37.2% of total)

ival-mult: 2.0ms (37.2% of total)

ival-sub: 1.0ms (18.6% of total)

const: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Counts

3 → 72

Calls

Call 1

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

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

Calls

18 calls:

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

rewrite680.0ms (9.4%)

Algorithm

1×	batch-egg-rewrite

Rules

3256×	`-lowering-.f32`
3256×	`-lowering-.f64`
2510×	`fma-lowering-fma.f32`
2510×	`fma-lowering-fma.f64`
1876×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	38	13
2	320	13
3	4330	13
0	8497	13

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 362

Calls

Call 1

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

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

simplify171.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1824×	`-lowering-.f32`
1824×	`-lowering-.f64`
1382×	`--lowering--.f32`
1382×	`--lowering--.f64`
1282×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	326
1	222	326
2	782	326
3	2946	326
4	7642	326
0	8132	326

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

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

eval49.0ms (0.7%)

Compiler: Compiled 9733 to 1014 computations (89.6% saved)

prune54.0ms (0.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	428	6	434
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	428	7	435

Accuracy

100.0%

Counts

435 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	66.3%	(/.f64 (.f64 (+.f64 x y) (+.f64 #s(literal -1 binary64) (.f64 z (.f64 z z)))) (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 z (+.f64 #s(literal 1 binary64) z)))))
▶	100.0%	(-.f64 (+.f64 x y) (*.f64 (+.f64 x y) z))
▶	49.8%	(+.f64 y x)
▶	52.0%	(*.f64 (-.f64 #s(literal 1 binary64) z) x)
✓	100.0%	(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
▶	88.9%	(.f64 (.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z)))
▶	53.1%	(*.f64 y (-.f64 #s(literal 1 binary64) z))

Compiler

Compiled 160 to 103 computations (35.6% saved)

simplify147.0ms (2%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Rules

1756×	`sum4-define`
1666×	`fnmadd-define`
1472×	`fma-lowering-fma.f32`
1472×	`fma-lowering-fma.f64`
1470×	`fma-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	17	92
1	43	91
2	124	86
3	427	84
4	1536	84
5	5960	84
0	8263	84

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize77.0ms (1.1%)

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z))
✓	accuracy	97.4%	(.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (.f64 z z)))
✓	accuracy	91.6%	(.f64 (.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z)))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) z)
✓	accuracy	100.0%	(*.f64 (-.f64 #s(literal 1 binary64) z) x)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) z)
✓	accuracy	100.0%	(*.f64 y (-.f64 #s(literal 1 binary64) z))
✓	accuracy	100.0%	(+.f64 y x)
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(-.f64 (+.f64 x y) (*.f64 (+.f64 x y) z))
✓	accuracy	100.0%	(*.f64 (+.f64 x y) z)

Results

53.0ms

256×

valid

Compiler

Compiled 98 to 18 computations (81.6% saved)

Precisions

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

ival-mult: 13.0ms (56.2% of total)

ival-sub: 4.0ms (17.3% of total)

ival-add: 4.0ms (17.3% of total)

ival-div: 2.0ms (8.6% of total)

const: 0.0ms (0% of total)

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

series19.0ms (0.3%)

Counts

12 → 288

Calls

Call 1

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

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

Calls

72 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(* (- 1 z) x)
2.0ms	x	@	0	(* (* (+ x y) (- 1 (* z z))) (/ 1 (+ 1 z)))
1.0ms	y	@	0	(- (+ x y) (* (+ x y) z))
1.0ms	z	@	inf	(* (* (+ x y) (- 1 (* z z))) (/ 1 (+ 1 z)))
0.0ms	y	@	0	(* (* (+ x y) (- 1 (* z z))) (/ 1 (+ 1 z)))

rewrite318.0ms (4.4%)

Algorithm

1×	batch-egg-rewrite

Rules

4388×	`/-lowering-/.f32`
4388×	`/-lowering-/.f64`
3384×	`-lowering-.f32`
3384×	`-lowering-.f64`
1996×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	67
1	111	61
2	1158	58
0	8465	58

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 735

Calls

Call 1

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

Outputs
(+.f64 x (-.f64 y (*.f64 (+.f64 x y) z)))
(+.f64 y (-.f64 x (*.f64 (+.f64 x y) z)))
(+.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 x y) z)))
(+.f64 (+.f64 y (-.f64 x (.f64 (+.f64 x y) z))) (fma.f64 (-.f64 #s(literal 0 binary64) z) (+.f64 x y) (.f64 (+.f64 x y) z)))
(+.f64 (+.f64 y (-.f64 x (.f64 (+.f64 x y) z))) (fma.f64 (-.f64 #s(literal 0 binary64) (+.f64 x y)) z (.f64 (+.f64 x y) z)))
(+.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 x y) z)) (+.f64 x y))
(+.f64 (-.f64 y (*.f64 (+.f64 x y) z)) x)
(+.f64 (/.f64 (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y))) (+.f64 (.f64 (+.f64 x y) (+.f64 x y)) (.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 x y))))) (neg.f64 (/.f64 (.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 x y) (.f64 z (.f64 (+.f64 x y) z)))) (+.f64 (.f64 (+.f64 x y) (+.f64 x y)) (.f64 (.f64 (+.f64 x y) z) (*.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 x y)))))))
(+.f64 (/.f64 (.f64 (+.f64 x y) (+.f64 x y)) (.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 x y))) (neg.f64 (/.f64 (.f64 (+.f64 x y) (.f64 z (.f64 (+.f64 x y) z))) (.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 x y)))))
(-.f64 (+.f64 x y) (*.f64 (+.f64 x y) z))
(-.f64 (/.f64 (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y))) (+.f64 (.f64 (+.f64 x y) (+.f64 x y)) (.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 x y))))) (/.f64 (.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 x y) (.f64 z (.f64 (+.f64 x y) z)))) (+.f64 (.f64 (+.f64 x y) (+.f64 x y)) (.f64 (.f64 (+.f64 x y) z) (*.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 x y))))))
(-.f64 (/.f64 (.f64 (+.f64 x y) (+.f64 x y)) (.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 x y))) (/.f64 (.f64 (+.f64 x y) (.f64 z (.f64 (+.f64 x y) z))) (.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 x y))))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (-.f64 y (.f64 (+.f64 x y) z)))) (/.f64 (.f64 (-.f64 y (.f64 (+.f64 x y) z)) (-.f64 y (.f64 (+.f64 x y) z))) (-.f64 x (-.f64 y (.f64 (+.f64 x y) z)))))
(-.f64 (/.f64 (.f64 (+.f64 x y) (+.f64 x y)) (-.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) (.f64 (+.f64 x y) z)))) (/.f64 (.f64 (+.f64 x y) (.f64 z (.f64 (+.f64 x y) z))) (-.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) (.f64 (+.f64 x y) z)))))
(fma.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) z) (+.f64 x y))
(fma.f64 z (-.f64 #s(literal 0 binary64) (+.f64 x y)) (+.f64 x y))
(fma.f64 #s(literal -1 binary64) (*.f64 (+.f64 x y) z) (+.f64 x y))
(fma.f64 (+.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y y) (.f64 x (-.f64 x y)))) (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 x y) z)))
(fma.f64 (+.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 y (-.f64 y x)))) (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 x y) z)))
(fma.f64 (-.f64 #s(literal 0 binary64) z) (+.f64 x y) (+.f64 x y))
(fma.f64 (-.f64 (.f64 y y) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 y x)) (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 x y) z)))
(fma.f64 (-.f64 (.f64 x x) (.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 x y)) (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 x y) z)))
(fma.f64 (-.f64 #s(literal 0 binary64) (+.f64 x y)) z (+.f64 x y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y (-.f64 x (*.f64 (+.f64 x y) z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (-.f64 x (*.f64 (+.f64 x y) z)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x x) (-.f64 (.f64 (-.f64 y (.f64 (+.f64 x y) z)) (-.f64 y (.f64 (+.f64 x y) z))) (.f64 x (-.f64 y (.f64 (+.f64 x y) z))))) (+.f64 (.f64 x (.f64 x x)) (.f64 (-.f64 y (.f64 (+.f64 x y) z)) (.f64 (-.f64 y (.f64 (+.f64 x y) z)) (-.f64 y (*.f64 (+.f64 x y) z)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (+.f64 x y) (+.f64 x y)) (-.f64 (.f64 (+.f64 x y) (.f64 z (.f64 (+.f64 x y) z))) (.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) (.f64 (+.f64 x y) z))))) (-.f64 (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y))) (.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 x y) (.f64 z (*.f64 (+.f64 x y) z)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (-.f64 y (.f64 (+.f64 x y) z))) (-.f64 (.f64 x x) (.f64 (-.f64 y (.f64 (+.f64 x y) z)) (-.f64 y (*.f64 (+.f64 x y) z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) (.f64 (+.f64 x y) z))) (.f64 (.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 x y)) (+.f64 y (-.f64 x (.f64 (+.f64 x y) z))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (-.f64 x (*.f64 (+.f64 x y) z))))))
(/.f64 (.f64 (.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 x y)) (+.f64 y (-.f64 x (.f64 (+.f64 x y) z)))) (.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 x y)))
(/.f64 (.f64 (.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 x y)) (+.f64 y (-.f64 x (.f64 (+.f64 x y) z)))) (-.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) (.f64 (+.f64 x y) z))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y))) (.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 x y) (.f64 z (.f64 (+.f64 x y) z)))))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (+.f64 x y) (+.f64 x y)) (.f64 (.f64 (+.f64 x y) z) (*.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 x y))))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y))) (.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 x y) (.f64 z (.f64 (+.f64 x y) z)))))) (neg.f64 (+.f64 (.f64 (+.f64 x y) (+.f64 x y)) (-.f64 (.f64 (+.f64 x y) (.f64 z (.f64 (+.f64 x y) z))) (.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 x y) z)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 x y)) (+.f64 y (-.f64 x (.f64 (+.f64 x y) z))))) (-.f64 #s(literal 0 binary64) (.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 x y))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 x y)) (+.f64 y (-.f64 x (.f64 (+.f64 x y) z))))) (neg.f64 (-.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) (.f64 (+.f64 x y) z)))))
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(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z))))) #s(literal 1 binary64)) (+.f64 (.f64 z (.f64 z (.f64 z z))) (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 z z) (+.f64 #s(literal 1 binary64) (.f64 z z))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 z z) (+.f64 #s(literal 1 binary64) (.f64 z z))))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 z z) (+.f64 #s(literal 1 binary64) (.f64 z z))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 z z) (+.f64 #s(literal 1 binary64) (.f64 z z)))))) (+.f64 (.f64 (/.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 z z) (+.f64 #s(literal 1 binary64) (.f64 z z))))) (/.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 z z) (+.f64 #s(literal 1 binary64) (.f64 z z)))))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 z z) (+.f64 #s(literal 1 binary64) (.f64 z z))))) (/.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 z z) (+.f64 #s(literal 1 binary64) (*.f64 z z)))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 z z))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 z (.f64 z (.f64 z z))) (+.f64 #s(literal 1 binary64) (.f64 z z))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 z z)))) (+.f64 (.f64 (/.f64 (.f64 z (.f64 z (.f64 z z))) (+.f64 #s(literal 1 binary64) (.f64 z z))) (/.f64 (.f64 z (.f64 z (.f64 z z))) (+.f64 #s(literal 1 binary64) (.f64 z z)))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 z z))) (/.f64 (.f64 z (.f64 z (.f64 z z))) (+.f64 #s(literal 1 binary64) (*.f64 z z)))))))
(/.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 1 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) (.f64 z z)) #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 z z))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 z z)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) #s(literal 1 binary64))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 z z) (+.f64 #s(literal 1 binary64) (*.f64 z z))))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 z (.f64 z (.f64 z z))) (-.f64 #s(literal 0 binary64) (.f64 z z))))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 z (.f64 z (.f64 z z)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 z (.f64 z (.f64 z z)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 z z)))))
(.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 z z) (+.f64 #s(literal 1 binary64) (*.f64 z z)))))))
(.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 z (.f64 z (.f64 z z))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(exp.f64 (*.f64 (log1p.f64 z) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) z)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 z z))) (/.f64 z (-.f64 #s(literal 1 binary64) (.f64 z z))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 z z))) (/.f64 (/.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 z z))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 z #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 z z))) (/.f64 (/.f64 (.f64 z (.f64 z z)) (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 z #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 z z))))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 z z)) (+.f64 #s(literal 1 binary64) (.f64 z (.f64 z z)))) (/.f64 z (+.f64 #s(literal 1 binary64) (.f64 z (*.f64 z z)))))
(neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) z)))
(/.f64 #s(literal 1 binary64) (+.f64 z #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) (*.f64 z z)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) z))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 z #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 z (*.f64 z z))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) z)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 z #s(literal -1 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 z (*.f64 z z)))))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)))
(pow.f64 (+.f64 z #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 z #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 z #s(literal 1 binary64))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log1p.f64 z)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal 1 binary64))))
(.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 z z))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) z)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 z #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 z (.f64 z z)))))
(*.f64 (pow.f64 (+.f64 z #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (+.f64 z #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 z z))) (-.f64 #s(literal 1 binary64) z))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 z (.f64 z z)))) (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 z #s(literal -1 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 z (.f64 z z)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 z #s(literal -1 binary64))))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) (-.f64 #s(literal 1 binary64) (.f64 z (.f64 z z)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 z #s(literal 1 binary64))))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 z z) (+.f64 #s(literal 1 binary64) (.f64 z z)))))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) (-.f64 #s(literal 1 binary64) (.f64 z (.f64 z (.f64 z z))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 z z)))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))))) (/.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 z z) (+.f64 #s(literal 1 binary64) (*.f64 z z)))))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 z (.f64 z (.f64 z z))))) (/.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 z z) (+.f64 #s(literal 1 binary64) (.f64 z z)))))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 z (.f64 z (.f64 z z))))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 z z)))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 z #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 z z) (+.f64 #s(literal 1 binary64) (.f64 z z)))))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))) (-.f64 #s(literal 1 binary64) (.f64 z (.f64 z (.f64 z z))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 z #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 z z)))))
(.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) (+.f64 #s(literal 1 binary64) (.f64 z (.f64 z z)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))))) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 z #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 z z) (+.f64 #s(literal 1 binary64) (*.f64 z z)))))))
(.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) (+.f64 #s(literal 1 binary64) (.f64 z (.f64 z z)))) (-.f64 #s(literal 1 binary64) (.f64 z (.f64 z (.f64 z z))))) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 z #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 z)))
(pow.f64 z #s(literal 2 binary64))
(pow.f64 (*.f64 z z) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) z) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 z)) #s(literal 2 binary64))
(*.f64 z z)
(.f64 #s(literal 1 binary64) (.f64 z z))
(.f64 (.f64 z z) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) z))
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 z)))

simplify235.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

3322×	`-lowering-.f32`
3322×	`-lowering-.f64`
2734×	`+-lowering-+.f64`
2734×	`+-lowering-+.f32`
1576×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	201	2419
1	710	2005
2	2373	1913
0	8383	1913

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

Calls

Call 1

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

eval143.0ms (2%)

Compiler: Compiled 30389 to 2490 computations (91.8% saved)

prune182.0ms (2.5%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	1251	7	1258
Fresh	1	0	1
Picked	2	3	5
Done	1	0	1
Total	1255	10	1265

Accuracy

100.0%

Counts

1265 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(/.f64 (+.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)))
	98.0%	(-.f64 (+.f64 x y) (+.f64 (.f64 z y) (.f64 z x)))
	94.8%	(-.f64 (+.f64 x y) (.f64 (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) z))
▶	77.4%	(-.f64 y (*.f64 (+.f64 x y) z))
▶	73.5%	(-.f64 x (*.f64 (+.f64 x y) z))
✓	49.8%	(+.f64 y x)
✓	52.0%	(*.f64 (-.f64 #s(literal 1 binary64) z) x)
✓	53.1%	(*.f64 y (-.f64 #s(literal 1 binary64) z))
▶	28.2%	y
▶	24.1%	x

Compiler

Compiled 162 to 104 computations (35.8% saved)

simplify158.0ms (2.2%)

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

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

Rules

3130×	`sum3-define`
2012×	`fnmadd-define`
1606×	`fma-lowering-fma.f32`
1606×	`fma-lowering-fma.f64`
1544×	`fnmsub-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	60
1	27	59
2	61	57
3	226	57
4	773	57
5	2408	57
6	4342	57
7	6454	57
0	8056	57

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize110.0ms (1.5%)

Localize:

Found 10 expressions of interest:

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

Results

71.0ms

256×

valid

Compiler

Compiled 66 to 12 computations (81.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-sub: 31.0ms (78.9% of total)

ival-div: 4.0ms (10.2% of total)

ival-add: 2.0ms (5.1% of total)

ival-mult: 2.0ms (5.1% of total)

const: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Counts

7 → 192

Calls

Call 1

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

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

Calls

48 calls:

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

rewrite342.0ms (4.7%)

Algorithm

1×	batch-egg-rewrite

Rules

4484×	`-lowering-.f32`
4484×	`-lowering-.f64`
3438×	`/-lowering-/.f32`
3438×	`/-lowering-/.f64`
1784×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	37
1	84	36
2	700	34
0	8001	34

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 543

Calls

Call 1

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

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

simplify258.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

3084×	`-lowering-.f32`
3084×	`-lowering-.f64`
1850×	`--lowering--.f32`
1850×	`--lowering--.f64`
1722×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	159	1391
1	572	1265
2	1859	1235
3	6534	1235
0	8413	1235

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

Calls

Call 1

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

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

eval134.0ms (1.8%)

Compiler: Compiled 22756 to 1949 computations (91.4% saved)

prune134.0ms (1.9%)

Pruning

11 alts after pruning (5 fresh and 6 done)

	Pruned	Kept	Total
New	1011	5	1016
Fresh	2	0	2
Picked	2	3	5
Done	0	3	3
Total	1015	11	1026

Accuracy

100.0%

Counts

1026 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.2%	(/.f64 (+.f64 x y) (/.f64 #s(literal -1 binary64) z))
▶	75.5%	(-.f64 (-.f64 y (.f64 y z)) (.f64 x z))
✓	77.4%	(-.f64 y (*.f64 (+.f64 x y) z))
▶	76.2%	(-.f64 y (.f64 (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) z))
▶	53.1%	(-.f64 y (*.f64 y z))
▶	52.0%	(-.f64 x (*.f64 z x))
✓	49.8%	(+.f64 y x)
✓	52.0%	(*.f64 (-.f64 #s(literal 1 binary64) z) x)
✓	53.1%	(*.f64 y (-.f64 #s(literal 1 binary64) z))
✓	28.2%	y
✓	24.1%	x

Compiler

Compiled 144 to 94 computations (34.7% saved)

simplify146.0ms (2%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x z)
✓	cost-diff	0	(*.f64 y z)
✓	cost-diff	0	(-.f64 y (*.f64 y z))
✓	cost-diff	128	(-.f64 (-.f64 y (.f64 y z)) (.f64 x z))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) z)
✓	cost-diff	0	(+.f64 x y)
✓	cost-diff	0	(/.f64 (+.f64 x y) (/.f64 #s(literal -1 binary64) z))
✓	cost-diff	0	(*.f64 y z)
✓	cost-diff	0	(-.f64 y (*.f64 y z))
✓	cost-diff	0	(*.f64 z x)
✓	cost-diff	0	(-.f64 x (*.f64 z x))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 x y))
✓	cost-diff	256	(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
✓	cost-diff	256	(.f64 (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) z)
✓	cost-diff	256	(-.f64 y (.f64 (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) z))

Rules

2004×	`fmsub-define`
1982×	`fnmsub-define`
1840×	`fma-lowering-fma.f32`
1840×	`fma-lowering-fma.f64`
1734×	`sum4-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	19	105
1	60	105
2	152	95
3	498	80
4	1603	79
5	4764	79
0	8018	79

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize96.0ms (1.3%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y z)
✓	accuracy	100.0%	(*.f64 x z)
✓	accuracy	100.0%	(-.f64 y (*.f64 y z))
✓	accuracy	98.3%	(-.f64 (-.f64 y (.f64 y z)) (.f64 x z))
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) z)
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	99.7%	(/.f64 (+.f64 x y) (/.f64 #s(literal -1 binary64) z))
✓	accuracy	100.0%	(*.f64 y z)
✓	accuracy	100.0%	(-.f64 y (*.f64 y z))
✓	accuracy	100.0%	(*.f64 z x)
✓	accuracy	100.0%	(-.f64 x (*.f64 z x))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 x y))
✓	accuracy	100.0%	(-.f64 y (.f64 (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) z))
✓	accuracy	100.0%	(.f64 (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) z)
✓	accuracy	91.5%	(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))

Results

74.0ms

256×

valid

Compiler

Compiled 103 to 20 computations (80.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-div: 10.0ms (37.2% of total)

ival-mult: 9.0ms (33.5% of total)

ival-sub: 5.0ms (18.6% of total)

ival-add: 3.0ms (11.2% of total)

const: 0.0ms (0% of total)

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

series19.0ms (0.3%)

Counts

13 → 348

Calls

Call 1

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

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

Calls

87 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(- y (* (* y (+ 1 (/ x y))) z))
2.0ms	z	@	0	(- y (* (* y (+ 1 (/ x y))) z))
1.0ms	y	@	-inf	(- y (* (* y (+ 1 (/ x y))) z))
1.0ms	x	@	inf	(- y (* (* y (+ 1 (/ x y))) z))
1.0ms	y	@	0	(- y (* (* y (+ 1 (/ x y))) z))

rewrite341.0ms (4.7%)

Algorithm

1×	batch-egg-rewrite

Rules

3724×	`/-lowering-/.f32`
3724×	`/-lowering-/.f64`
3624×	`-lowering-.f32`
3624×	`-lowering-.f64`
2302×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	73
1	150	70
2	1285	58
0	8576	58

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 403

Calls

Call 1

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

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

simplify197.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

2338×	`-lowering-.f32`
2338×	`-lowering-.f64`
1316×	`sum4-define`
1258×	`sum3-define`
740×	`sum5-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	110	1722
1	390	1498
2	1154	1498
3	4252	1430
4	6889	1430
0	8089	1430

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 348

Calls

Call 1

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

eval146.0ms (2%)

Compiler: Compiled 14895 to 1276 computations (91.4% saved)

prune113.0ms (1.6%)

Pruning

12 alts after pruning (1 fresh and 11 done)

	Pruned	Kept	Total
New	844	1	845
Fresh	0	0	0
Picked	0	5	5
Done	0	6	6
Total	844	12	856

Accuracy

100.0%

Counts

856 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.2%	(/.f64 (+.f64 x y) (/.f64 #s(literal -1 binary64) z))
	29.6%	(/.f64 x (/.f64 #s(literal -1 binary64) z))
✓	75.5%	(-.f64 (-.f64 y (.f64 y z)) (.f64 x z))
✓	77.4%	(-.f64 y (*.f64 (+.f64 x y) z))
✓	76.2%	(-.f64 y (.f64 (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))) z))
✓	53.1%	(-.f64 y (*.f64 y z))
✓	52.0%	(-.f64 x (*.f64 z x))
✓	49.8%	(+.f64 y x)
✓	52.0%	(*.f64 (-.f64 #s(literal 1 binary64) z) x)
✓	53.1%	(*.f64 y (-.f64 #s(literal 1 binary64) z))
✓	28.2%	y
✓	24.1%	x

Compiler

Compiled 258 to 115 computations (55.4% saved)

regimes45.0ms (0.6%)

Counts

20 → 1

Calls

Call 1

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

Outputs
(-.f64 (+.f64 x y) (*.f64 (+.f64 x y) z))

Calls

6 calls:

12.0ms	(-.f64 #s(literal 1 binary64) z)
8.0ms	z
6.0ms	(+.f64 x y)
6.0ms	y
6.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))`
100.0%	1	`(+.f64 x y)`
100.0%	1	`(-.f64 #s(literal 1 binary64) z)`

Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes65.0ms (0.9%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

6 calls:

42.0ms	y
6.0ms	(-.f64 #s(literal 1 binary64) z)
4.0ms	x
4.0ms	(+.f64 x y)
4.0ms	z

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))`
100.0%	1	`(+.f64 x y)`
100.0%	1	`(-.f64 #s(literal 1 binary64) z)`

Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes20.0ms (0.3%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

4 calls:

10.0ms	x
3.0ms	y
3.0ms	z
3.0ms	(-.f64 #s(literal 1 binary64) z)

Results

Accuracy	Segments	Branch
86.2%	3	`x`
84.5%	2	`y`
77.1%	3	`z`
77.1%	3	`(-.f64 #s(literal 1 binary64) z)`

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes3.0ms (0%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
86.2%	3	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes11.0ms (0.1%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

4 calls:

2.0ms	y
2.0ms	x
2.0ms	z
2.0ms	(-.f64 #s(literal 1 binary64) z)

Results

Accuracy	Segments	Branch
74.3%	3	`z`
74.3%	3	`(-.f64 #s(literal 1 binary64) z)`
66.4%	2	`y`
65.9%	2	`x`

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes6.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

Inputs
x
y
(+.f64 y x)

Outputs
(+.f64 y x)

Calls

3 calls:

2.0ms	y
2.0ms	z
2.0ms	x

Results

Accuracy	Segments	Branch
49.8%	1	`x`
49.8%	1	`y`
49.8%	1	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0.1%)

Counts

2 → 2

Calls

Call 1

Inputs
x
y

Outputs
x
y

Calls

3 calls:

2.0ms	x
2.0ms	y
2.0ms	z

Results

Accuracy	Segments	Branch
42.7%	2	`x`
43.8%	2	`y`
31.3%	2	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes6.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

3 calls:

3.0ms	x
1.0ms	y
1.0ms	z

Results

Accuracy	Segments	Branch
24.1%	1	`z`
24.1%	1	`x`
24.1%	1	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch16.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	-1.0537919808617092e-178	-3.0344660964087153e-179
4.0ms	-1.5665244257309282e-73	-1.2778331431432238e-73

Results

11.0ms

128×

valid

Compiler

Compiled 144 to 103 computations (28.5% saved)

Precisions

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

ival-sub: 1.0ms (38.2% of total)

ival-add: 1.0ms (38.2% of total)

ival-mult: 1.0ms (38.2% of total)

const: 0.0ms (0% of total)

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

bsearch22.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	-1.0537919808617092e-178	-3.0344660964087153e-179
4.0ms	-1.5665244257309282e-73	-1.2778331431432238e-73

Results

16.0ms	127×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 144 to 108 computations (25% saved)

Precisions

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

ival-add: 1.0ms (36.9% of total)

ival-mult: 1.0ms (36.9% of total)

ival-sub: 1.0ms (36.9% of total)

const: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	1.0000000003708476	1.0000000024061115
0.0ms	0.9886910907711295	0.9994596237240237

Compiler

Compiled 16 to 12 computations (25% saved)

bsearch12.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	3.4593556137171535e-118	1.6871812611041843e-112

Results

7.0ms

144×

valid

Compiler

Compiled 106 to 84 computations (20.8% saved)

Precisions

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

ival-sub: 1.0ms (33.3% of total)

ival-add: 1.0ms (33.3% of total)

ival-mult: 1.0ms (33.3% of total)

const: 0.0ms (0% of total)

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

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

22×	`*-commutative_binary64`
20×	`+-commutative_binary64`
18×	`sub-neg_binary64`
12×	`neg-sub0_binary64`
12×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	89
1	60	89
2	85	89
3	99	89
4	106	89
5	107	89

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (+.f64 x y) (*.f64 (+.f64 x y) z))
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(if (<=.f64 x #s(literal -8912032396463377/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168 binary64)) (.f64 (-.f64 #s(literal 1 binary64) z) x) (if (<=.f64 x #s(literal -958112529700661/9124881235244390437282343211400582649786457014497119861158385035798550334417354773011825622634742799557284619147188814621377409442750875996505322639444428376503989348720529900165748384493207552 binary64)) (+.f64 y x) (-.f64 y (.f64 y z))))
(if (<=.f64 x #s(literal -18649621365367/124330809102446660538845562036705210025114037699336929360115994223289874253133343883264 binary64)) (.f64 (-.f64 #s(literal 1 binary64) z) x) (if (<=.f64 x #s(literal -958112529700661/9124881235244390437282343211400582649786457014497119861158385035798550334417354773011825622634742799557284619147188814621377409442750875996505322639444428376503989348720529900165748384493207552 binary64)) (+.f64 y x) (.f64 y (-.f64 #s(literal 1 binary64) z))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 4458563631096791/4503599627370496 binary64)) (.f64 y (-.f64 #s(literal 1 binary64) z)) (if (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 4503599636377695/4503599627370496 binary64)) (+.f64 y x) (.f64 y (-.f64 #s(literal 1 binary64) z))))
(+.f64 y x)
(if (<=.f64 y #s(literal 1242156022966125/354901720847464302026037015570314714039863945648104521621821386318671527399120079749116723981329865996466075003059657194108692201472 binary64)) x y)
x

Outputs
(-.f64 (+.f64 x y) (*.f64 (+.f64 x y) z))
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(if (<=.f64 x #s(literal -8912032396463377/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168 binary64)) (.f64 (-.f64 #s(literal 1 binary64) z) x) (if (<=.f64 x #s(literal -958112529700661/9124881235244390437282343211400582649786457014497119861158385035798550334417354773011825622634742799557284619147188814621377409442750875996505322639444428376503989348720529900165748384493207552 binary64)) (+.f64 y x) (-.f64 y (.f64 y z))))
(if (<=.f64 x #s(literal -8912032396463377/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) z)) (if (<=.f64 x #s(literal -958112529700661/9124881235244390437282343211400582649786457014497119861158385035798550334417354773011825622634742799557284619147188814621377409442750875996505322639444428376503989348720529900165748384493207552 binary64)) (+.f64 x y) (-.f64 y (.f64 y z))))
(if (<=.f64 x #s(literal -18649621365367/124330809102446660538845562036705210025114037699336929360115994223289874253133343883264 binary64)) (.f64 (-.f64 #s(literal 1 binary64) z) x) (if (<=.f64 x #s(literal -958112529700661/9124881235244390437282343211400582649786457014497119861158385035798550334417354773011825622634742799557284619147188814621377409442750875996505322639444428376503989348720529900165748384493207552 binary64)) (+.f64 y x) (.f64 y (-.f64 #s(literal 1 binary64) z))))
(if (<=.f64 x #s(literal -18649621365367/124330809102446660538845562036705210025114037699336929360115994223289874253133343883264 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) z)) (if (<=.f64 x #s(literal -958112529700661/9124881235244390437282343211400582649786457014497119861158385035798550334417354773011825622634742799557284619147188814621377409442750875996505322639444428376503989348720529900165748384493207552 binary64)) (+.f64 x y) (.f64 y (-.f64 #s(literal 1 binary64) z))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 4458563631096791/4503599627370496 binary64)) (.f64 y (-.f64 #s(literal 1 binary64) z)) (if (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 4503599636377695/4503599627370496 binary64)) (+.f64 y x) (.f64 y (-.f64 #s(literal 1 binary64) z))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 4458563631096791/4503599627370496 binary64)) (.f64 y (-.f64 #s(literal 1 binary64) z)) (if (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 4503599636377695/4503599627370496 binary64)) (+.f64 x y) (.f64 y (-.f64 #s(literal 1 binary64) z))))
(+.f64 y x)
(+.f64 x y)
(if (<=.f64 y #s(literal 1242156022966125/354901720847464302026037015570314714039863945648104521621821386318671527399120079749116723981329865996466075003059657194108692201472 binary64)) x y)
x

soundness1.4s (18.6%)

Rules

3322×	`-lowering-.f32`
3322×	`-lowering-.f64`
3256×	`-lowering-.f32`
3256×	`-lowering-.f64`
3084×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	201	2419
1	710	2005
2	2373	1913
0	8383	1913
0	65	326
1	222	326
2	782	326
3	2946	326
4	7642	326
0	8132	326
0	7	13
1	38	13
2	320	13
3	4330	13
0	8497	13
0	159	1391
1	572	1265
2	1859	1235
3	6534	1235
0	8413	1235

Stop Event

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

Compiler

Compiled 224 to 116 computations (48.2% saved)

preprocess97.0ms (1.3%)

Remove: (sort x y)
Compiler: Compiled 284 to 114 computations (59.9% saved)

analyze0.0ms (0%)

sample791.0ms (10.9%)

preprocess251.0ms (3.5%)

explain56.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify172.0ms (2.4%)

localize24.0ms (0.3%)

series4.0ms (0.1%)

rewrite680.0ms (9.4%)

simplify171.0ms (2.4%)

eval49.0ms (0.7%)

prune54.0ms (0.7%)

simplify147.0ms (2%)

localize77.0ms (1.1%)

series19.0ms (0.3%)

rewrite318.0ms (4.4%)

simplify235.0ms (3.2%)

eval143.0ms (2%)

prune182.0ms (2.5%)

simplify158.0ms (2.2%)

localize110.0ms (1.5%)

series4.0ms (0.1%)

rewrite342.0ms (4.7%)

simplify258.0ms (3.6%)

eval134.0ms (1.8%)

prune134.0ms (1.9%)

simplify146.0ms (2%)

localize96.0ms (1.3%)

series19.0ms (0.3%)

rewrite341.0ms (4.7%)

simplify197.0ms (2.7%)

eval146.0ms (2%)

prune113.0ms (1.6%)

regimes45.0ms (0.6%)

regimes65.0ms (0.9%)

regimes20.0ms (0.3%)

regimes3.0ms (0%)

regimes11.0ms (0.1%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch16.0ms (0.2%)

bsearch22.0ms (0.3%)

bsearch0.0ms (0%)

bsearch12.0ms (0.2%)

simplify12.0ms (0.2%)

soundness1.4s (18.6%)

preprocess97.0ms (1.3%)

end0.0ms (0%)

Profiling