Metrics for Data.Colour.RGBSpace.HSV:hsv from colour-2.3.3, J

analyze1.0ms (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 13 to 9 computations (30.8% saved)

Precisions

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

ival-sub: 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)

sample1.4s (15%)

Results

1.2s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 484.0ms

ival-sub: 300.0ms (62% of total)

ival-mult: 168.0ms (34.7% of total)

const: 13.0ms (2.7% of total)

backward-pass: 3.0ms (0.6% of total)

Bogosity

preprocess231.0ms (2.4%)

Algorithm

2×	egg-herbie

Rules

2568×	`fnmadd-define`
1960×	`sum3-define`
1858×	`sum4-define`
1420×	`fma-define`
1364×	`fmsub-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	33	97
1	106	91
2	286	83
3	1316	73
4	4883	70
5	7640	70
0	8	9
1	19	9
2	48	8
3	163	7
4	532	7
5	1490	7
6	3282	7
7	5692	7
8	7871	7
9	7871	7
10	7955	7
0	7955	7

Stop Event

1×	iter limit
1×	saturated
1×	node limit

Calls

Call 1

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

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

Call 2

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

Outputs
(* x (- 1 (* (- 1 y) z)))
(fma x (fmsub y z z) x)
(* (neg x) (- 1 (* (- 1 y) z)))
(fnmsub x (fmsub y z z) x)
(* x (- 1 (* (- 1 (neg y)) z)))
(fma x (fnmsub y z z) x)
(* x (- 1 (* (- 1 y) (neg z))))
(fma x (fnmadd y z z) x)
(neg (* (neg x) (- 1 (* (- 1 y) z))))
(fma x (fmsub y z z) x)
(neg (* x (- 1 (* (- 1 (neg y)) z))))
(fnmsub x (fnmsub y z z) x)
(neg (* x (- 1 (* (- 1 y) (neg z)))))
(fnmsub x (fnmadd y z z) x)
(* y (- 1 (* (- 1 x) z)))
(fma y (fmsub x z z) y)
(* z (- 1 (* (- 1 y) x)))
(fma x (fmsub y z z) z)
(* x (- 1 (* (- 1 z) y)))
(fma x (fmsub y z y) x)

Symmetry

(negabs x)

explain95.0ms (1%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
13	-	-	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))`
0	-	-	`x`
0	-	-	`(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))`
0	-	-	`z`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`y`
0	-	-	`(*.f64 (-.f64 #s(literal 1 binary64) y) z)`
0	-	-	`(-.f64 #s(literal 1 binary64) y)`

Results

61.0ms

512×

valid

Compiler

Compiled 76 to 26 computations (65.8% saved)

Precisions

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

ival-mult: 7.0ms (48% of total)

ival-sub: 6.0ms (41.2% of total)

const: 1.0ms (6.9% of total)

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

eval0.0ms (0%)

Compiler: Compiled 12 to 9 computations (25% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.2%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify153.0ms (1.6%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

2568×	`fnmadd-define`
1960×	`sum3-define`
1858×	`sum4-define`
1420×	`fma-define`
1364×	`fmsub-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	8	28
1	19	28
2	48	26
3	163	24
4	532	24
5	1490	24
6	3282	24
7	5692	24
8	7871	24
9	7871	24
10	7955	24
0	7955	24

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize74.0ms (0.8%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(*.f64 (-.f64 #s(literal 1 binary64) y) z)
✓	accuracy	95.2%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))

Results

65.0ms

256×

valid

Compiler

Compiled 32 to 9 computations (71.9% saved)

Precisions

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

ival-mult: 9.0ms (73.3% of total)

ival-sub: 3.0ms (24.4% of total)

const: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Counts

4 → 96

Calls

Call 1

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

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

Calls

24 calls:

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

rewrite272.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

2120×	`-lowering-.f32`
2120×	`-lowering-.f64`
1436×	`fma-lowering-fma.f32`
1436×	`fma-lowering-fma.f64`
1388×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	8	24
1	42	24
2	330	22
3	3905	20
0	8191	20

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 209

Calls

Call 1

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

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

simplify167.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

2036×	`-lowering-.f32`
2036×	`-lowering-.f64`
1756×	`fnmadd-define`
900×	`unsub-neg`
882×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	74	613
1	245	519
2	711	489
3	1876	488
4	6536	488
0	8087	488

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

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

eval34.0ms (0.3%)

Compiler: Compiled 7676 to 873 computations (88.6% saved)

prune73.0ms (0.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	297	8	305
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	297	9	306

Accuracy

95.2%

Counts

306 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	65.3%	(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 z (.f64 (-.f64 #s(literal 1 binary64) y) z)))) x) (+.f64 (*.f64 z (+.f64 y #s(literal -1 binary64))) #s(literal -1 binary64)))
▶	95.0%	(/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))))
	86.1%	(.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (.f64 z (-.f64 #s(literal 1 binary64) (*.f64 y y))) (+.f64 #s(literal 1 binary64) y))))
▶	95.2%	(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))))
✓	95.2%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))
▶	67.4%	(*.f64 x (-.f64 #s(literal 1 binary64) z))
	60.0%	(.f64 x (.f64 z (+.f64 y #s(literal -1 binary64))))
	35.2%	(.f64 x (.f64 z y))
▶	37.1%	x

Compiler

Compiled 216 to 138 computations (36.1% saved)

simplify158.0ms (1.6%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Rules

1970×	`sum3-define`
1700×	`fma-lowering-fma.f32`
1700×	`fma-lowering-fma.f64`
1664×	`fmsub-define`
1632×	`-lowering-.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	24	182
1	64	155
2	166	149
3	518	138
4	2118	136
5	5684	136
0	8304	136

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize178.0ms (1.9%)

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 z (.f64 (-.f64 #s(literal 1 binary64) y) z))
✓	accuracy	97.9%	(.f64 (-.f64 #s(literal 1 binary64) y) (.f64 z (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
✓	accuracy	93.7%	(.f64 (+.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 z (.f64 (-.f64 #s(literal 1 binary64) y) z)))) x)
✓	accuracy	73.3%	(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 z (.f64 (-.f64 #s(literal 1 binary64) y) z)))) x) (+.f64 (*.f64 z (+.f64 y #s(literal -1 binary64))) #s(literal -1 binary64)))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(*.f64 (-.f64 #s(literal 1 binary64) y) z)
✓	accuracy	99.4%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
✓	accuracy	95.4%	(/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) z)
✓	accuracy	100.0%	(*.f64 x (-.f64 #s(literal 1 binary64) z))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))
✓	accuracy	99.8%	(/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))
✓	accuracy	95.2%	(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))))

Results

103.0ms

256×

valid

Compiler

Compiled 191 to 25 computations (86.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-mult: 11.0ms (35.9% of total)

ival-div: 9.0ms (29.4% of total)

ival-sub: 6.0ms (19.6% of total)

ival-add: 4.0ms (13% of total)

const: 1.0ms (3.3% of total)

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

series30.0ms (0.3%)

Counts

16 → 396

Calls

Call 1

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

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

Calls

99 calls:

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

rewrite344.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

3878×	`/-lowering-/.f32`
3878×	`/-lowering-/.f64`
3724×	`-lowering-.f32`
3724×	`-lowering-.f64`
2396×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	139
1	170	112
2	1470	107
0	8483	107

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 671

Calls

Call 1

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

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

simplify481.0ms (5%)

Algorithm

1×	egg-herbie

Rules

4506×	`-lowering-.f32`
4506×	`-lowering-.f64`
2320×	`+-lowering-+.f64`
2320×	`+-lowering-+.f32`
1832×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	504	4899
1	1756	4167
2	6425	4067
0	8541	4067

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 396

Calls

Call 1

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

eval374.0ms (3.9%)

Compiler: Compiled 34188 to 3959 computations (88.4% saved)

prune478.0ms (5%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	1366	5	1371
Fresh	1	2	3
Picked	3	2	5
Done	0	1	1
Total	1370	10	1380

Accuracy

100.0%

Counts

1380 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	35.2%	(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 z y)))
▶	39.3%	(.f64 z (.f64 y x))
▶	64.0%	(.f64 z (.f64 x (+.f64 y #s(literal -1 binary64))))
▶	80.7%	(.f64 y (.f64 x (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) z)))
	69.3%	(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z (/.f64 #s(literal -1 binary64) y))))
✓	95.2%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))
✓	67.4%	(*.f64 x (-.f64 #s(literal 1 binary64) z))
▶	60.0%	(.f64 x (.f64 z (+.f64 y #s(literal -1 binary64))))
▶	35.2%	(.f64 x (.f64 z y))
✓	37.1%	x

Compiler

Compiled 168 to 115 computations (31.5% saved)

simplify189.0ms (2%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Rules

2990×	`-lowering-.f32`
2990×	`-lowering-.f64`
1458×	`fma-lowering-fma.f32`
1458×	`fma-lowering-fma.f64`
1440×	`times-frac`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	19	99
1	58	99
2	146	99
3	279	95
4	563	92
5	1366	91
6	4050	91
0	8146	91

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize109.0ms (1.1%)

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 y #s(literal -1 binary64))
✓	accuracy	100.0%	(*.f64 x (+.f64 y #s(literal -1 binary64)))
✓	accuracy	97.7%	(.f64 z (.f64 x (+.f64 y #s(literal -1 binary64))))
✓	accuracy	100.0%	(+.f64 y #s(literal -1 binary64))
✓	accuracy	100.0%	(*.f64 z (+.f64 y #s(literal -1 binary64)))
✓	accuracy	95.1%	(.f64 x (.f64 z (+.f64 y #s(literal -1 binary64))))
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	93.6%	(.f64 z (.f64 y x))
✓	accuracy	100.0%	(*.f64 z y)
✓	accuracy	92.4%	(.f64 x (.f64 z y))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) z)
✓	accuracy	100.0%	(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) z)
✓	accuracy	96.9%	(*.f64 x (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) z))
✓	accuracy	83.8%	(.f64 y (.f64 x (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) z)))

Results

81.0ms

256×

valid

Compiler

Compiled 103 to 20 computations (80.6% saved)

Precisions

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

ival-mult: 19.0ms (72% of total)

ival-add: 3.0ms (11.4% of total)

ival-sub: 2.0ms (7.6% of total)

ival-div: 2.0ms (7.6% of total)

const: 1.0ms (3.8% of total)

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

series38.0ms (0.4%)

Counts

14 → 384

Calls

Call 1

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

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

96 calls:

Time	Variable		Point	Expression
16.0ms	x	@	inf	(* x (* z (+ y -1)))
1.0ms	x	@	0	(* y (* x (+ (/ (- 1 z) y) z)))
1.0ms	z	@	-inf	(+ (/ (- 1 z) y) z)
1.0ms	y	@	-inf	(* y (* x (+ (/ (- 1 z) y) z)))
1.0ms	y	@	0	(* y (* x (+ (/ (- 1 z) y) z)))

rewrite314.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

4388×	`-lowering-.f32`
4388×	`-lowering-.f64`
3690×	`/-lowering-/.f32`
3690×	`/-lowering-/.f64`
1522×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	78
1	99	78
2	765	78
0	8451	78

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 619

Calls

Call 1

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

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

simplify224.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

2830×	`-lowering-.f32`
2830×	`-lowering-.f64`
1570×	`+-lowering-+.f64`
1570×	`+-lowering-+.f32`
1266×	`fmsub-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	118	2368
1	386	2317
2	1244	1970
3	3543	1970
0	8194	1970

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 384

Calls

Call 1

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

eval167.0ms (1.7%)

Compiler: Compiled 19937 to 2306 computations (88.4% saved)

prune116.0ms (1.2%)

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	1063	3	1066
Fresh	1	1	2
Picked	2	3	5
Done	0	3	3
Total	1066	10	1076

Accuracy

100.0%

Counts

1076 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	82.4%	(/.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) (+.f64 z (/.f64 (-.f64 #s(literal 1 binary64) z) y))))
▶	35.2%	(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 z y)))
▶	40.8%	(.f64 (.f64 x z) y)
✓	39.3%	(.f64 z (.f64 y x))
✓	64.0%	(.f64 z (.f64 x (+.f64 y #s(literal -1 binary64))))
▶	67.7%	(.f64 y (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) z)))
✓	95.2%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))
✓	67.4%	(*.f64 x (-.f64 #s(literal 1 binary64) z))
✓	60.0%	(.f64 x (.f64 z (+.f64 y #s(literal -1 binary64))))
✓	37.1%	x

Compiler

Compiled 98 to 66 computations (32.7% saved)

simplify148.0ms (1.5%)

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

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

Rules

1926×	`-lowering-.f32`
1926×	`-lowering-.f64`
1556×	`fma-define`
1356×	`fma-lowering-fma.f32`
1356×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	19	93
1	51	92
2	119	92
3	262	89
4	605	88
5	1770	87
6	5786	86
0	8115	86

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize131.0ms (1.4%)

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	100.0%	(+.f64 z (/.f64 (-.f64 #s(literal 1 binary64) z) y))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (+.f64 z (/.f64 (-.f64 #s(literal 1 binary64) z) y)))
✓	accuracy	82.6%	(/.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) (+.f64 z (/.f64 (-.f64 #s(literal 1 binary64) z) y))))
✓	accuracy	100.0%	(*.f64 z y)
✓	accuracy	99.2%	(/.f64 #s(literal 1 binary64) (*.f64 z y))
✓	accuracy	92.8%	(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 z y)))
✓	accuracy	100.0%	(*.f64 x z)
✓	accuracy	90.0%	(.f64 (.f64 x z) y)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(+.f64 (/.f64 #s(literal 1 binary64) y) z)
✓	accuracy	99.9%	(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) z))
✓	accuracy	83.4%	(.f64 y (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) z)))

Results

108.0ms

256×

valid

Compiler

Compiled 106 to 20 computations (81.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-div: 40.0ms (72.3% of total)

ival-mult: 10.0ms (18.1% of total)

ival-add: 3.0ms (5.4% of total)

ival-sub: 1.0ms (1.8% of total)

const: 0.0ms (0% of total)

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

series17.0ms (0.2%)

Counts

13 → 360

Calls

Call 1

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

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

Calls

90 calls:

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

rewrite352.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

4728×	`-lowering-.f32`
4728×	`-lowering-.f64`
3918×	`/-lowering-/.f32`
3918×	`/-lowering-/.f64`
1716×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	70
1	123	69
2	977	69
0	8927	69

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 620

Calls

Call 1

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

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

simplify352.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

5202×	`-lowering-.f32`
5202×	`-lowering-.f64`
3112×	`+-lowering-+.f64`
3112×	`+-lowering-+.f32`
1448×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	240	2417
1	803	2291
2	2794	2226
0	8330	2226

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 360

Calls

Call 1

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

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

eval140.0ms (1.5%)

Compiler: Compiled 17377 to 1940 computations (88.8% saved)

prune271.0ms (2.8%)

Pruning

11 alts after pruning (3 fresh and 8 done)

	Pruned	Kept	Total
New	977	3	980
Fresh	0	0	0
Picked	2	2	4
Done	0	6	6
Total	979	11	990

Accuracy

100.0%

Counts

990 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	37.0%	(/.f64 (*.f64 y x) y)
	40.8%	(*.f64 (/.f64 z (/.f64 #s(literal 1 binary64) x)) y)
✓	40.8%	(.f64 (.f64 x z) y)
✓	39.3%	(.f64 z (.f64 y x))
✓	64.0%	(.f64 z (.f64 x (+.f64 y #s(literal -1 binary64))))
✓	67.7%	(.f64 y (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) z)))
✓	95.2%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))
✓	67.4%	(*.f64 x (-.f64 #s(literal 1 binary64) z))
	69.3%	(.f64 x (+.f64 (.f64 y z) #s(literal 1 binary64)))
✓	60.0%	(.f64 x (.f64 z (+.f64 y #s(literal -1 binary64))))
✓	37.1%	x

Compiler

Compiled 275 to 133 computations (51.6% saved)

regimes50.0ms (0.5%)

Counts

20 → 3

Calls

Call 1

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

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

Calls

7 calls:

9.0ms	x
8.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))
8.0ms	(*.f64 (-.f64 #s(literal 1 binary64) y) z)
7.0ms	z
6.0ms	y

Results

Accuracy	Segments	Branch
95.2%	1	`x`
95.2%	1	`y`
99.9%	3	`z`
99.9%	3	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))`
100.0%	3	`(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))`
100.0%	3	`(*.f64 (-.f64 #s(literal 1 binary64) y) z)`
95.2%	1	`(-.f64 #s(literal 1 binary64) y)`

Compiler

Compiled 48 to 35 computations (27.1% saved)

regimes10.0ms (0.1%)

Counts

14 → 3

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	(*.f64 (-.f64 #s(literal 1 binary64) y) z)
4.0ms	(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))

Results

Accuracy	Segments	Branch
100.0%	3	`(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))`
100.0%	3	`(*.f64 (-.f64 #s(literal 1 binary64) y) z)`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes5.0ms (0.1%)

Counts

11 → 3

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
98.7%	3	`z`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes23.0ms (0.2%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

3 calls:

16.0ms	x
3.0ms	y
3.0ms	z

Results

Accuracy	Segments	Branch
71.8%	2	`x`
94.2%	3	`y`
93.9%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes7.0ms (0.1%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	z
3.0ms	y

Results

Accuracy	Segments	Branch
86.5%	3	`z`
88.5%	3	`y`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes3.0ms (0%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
88.4%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes4.0ms (0%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	y
2.0ms	z

Results

Accuracy	Segments	Branch
67.4%	1	`z`
84.4%	3	`y`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes5.0ms (0.1%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	x
2.0ms	z
2.0ms	y

Results

Accuracy	Segments	Branch
61.8%	3	`z`
43.4%	2	`x`
57.4%	3	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

3 calls:

1.0ms	x
1.0ms	y
1.0ms	z

Results

Accuracy	Segments	Branch
37.1%	1	`x`
37.1%	1	`y`
37.1%	1	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5.740648643324926e+108	3.5262328221203897e+120
0.0ms	-inf	-1.6962644030564756e+297

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5.740648643324926e+108	3.5262328221203897e+120
0.0ms	-6.194747560808863e+110	-3.044125824313518e+110

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch44.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	2.2032530334243522e-7	230.95505701099924
24.0ms	-4554232.527551386	-0.00012006932872276887

Results

28.0ms

304×

valid

Compiler

Compiled 436 to 317 computations (27.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-sub: 4.0ms (48.3% of total)

ival-mult: 4.0ms (48.3% of total)

const: 0.0ms (0% of total)

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

bsearch28.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	2.1763473022104784e-8	2.856133653826788e-7
17.0ms	-1369839.0392851154	-3.2078464032651675

Results

18.0ms

240×

valid

Compiler

Compiled 318 to 238 computations (25.2% saved)

Precisions

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

ival-sub: 5.0ms (54.6% of total)

ival-mult: 4.0ms (43.7% of total)

const: 0.0ms (0% of total)

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

bsearch50.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	2.856133653826788e-7	430.9184119952419
33.0ms	-2.041102741500007e+86	-5.728544441893297e+85

Results

16.0ms

224×

valid

Compiler

Compiled 270 to 195 computations (27.8% saved)

Precisions

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

ival-mult: 3.0ms (50.6% of total)

ival-sub: 2.0ms (33.7% of total)

const: 0.0ms (0% of total)

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

bsearch26.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	2.856133653826788e-7	430.9184119952419
10.0ms	-2.041102741500007e+86	-5.728544441893297e+85

Results

17.0ms

224×

valid

Compiler

Compiled 270 to 195 computations (27.8% saved)

Precisions

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

ival-sub: 3.0ms (49% of total)

ival-mult: 3.0ms (49% of total)

const: 0.0ms (0% of total)

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

bsearch26.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	2.856133653826788e-7	430.9184119952419
8.0ms	-2.041102741500007e+86	-5.728544441893297e+85

Results

14.0ms

224×

valid

Compiler

Compiled 270 to 195 computations (27.8% saved)

Precisions

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

ival-mult: 3.0ms (49.9% of total)

ival-sub: 2.0ms (33.3% of total)

const: 0.0ms (0% of total)

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

bsearch38.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	3.8533710961019815e-115	2.8364015186201036e-110
20.0ms	-0.00012006932872276887	-1.0970813656519846e-24

Results

20.0ms

320×

valid

Compiler

Compiled 298 to 213 computations (28.5% saved)

Precisions

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

ival-sub: 4.0ms (46.2% of total)

ival-mult: 4.0ms (46.2% of total)

const: 0.0ms (0% of total)

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

simplify44.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

282×	`distribute-lft-neg-in_binary64`
194×	`unsub-neg_binary64`
156×	`neg-mul-1_binary64`
120×	`neg-sub0_binary64`
100×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	193
1	118	193
2	142	193
3	165	193
4	208	193
5	265	193
6	341	193
7	430	193
8	544	193
9	649	193
10	746	193
11	819	193
12	871	193
13	891	193
14	895	193

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal -inf.0 binary64)) (.f64 z (.f64 y x)) (if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 9999999999999999818508707188399807864717650964328171247958398369899072554380053298205803424393137676263358464 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))))) (.f64 z (*.f64 x (+.f64 y #s(literal -1 binary64))))))
(if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal -499999999999999978409886320820907879202552238629189140897698107811441303810555744076971465473716161022374445056 binary64)) (.f64 z (.f64 x (+.f64 y #s(literal -1 binary64)))) (if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 9999999999999999818508707188399807864717650964328171247958398369899072554380053298205803424393137676263358464 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z))) (.f64 z (.f64 x (+.f64 y #s(literal -1 binary64))))))
(if (<=.f64 z #s(literal -1 binary64)) (.f64 z (.f64 x (+.f64 y #s(literal -1 binary64)))) (if (<=.f64 z #s(literal 1 binary64)) (.f64 x (+.f64 (.f64 y z) #s(literal 1 binary64))) (.f64 z (.f64 x (+.f64 y #s(literal -1 binary64))))))
(if (<=.f64 y #s(literal -13/4 binary64)) (.f64 x (+.f64 (.f64 y z) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 5289050460814003/18889465931478580854784 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) z)) (.f64 x (+.f64 (*.f64 y z) #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -149999999999999988391111591020103379775994723625647353989573673734696344312623784787968 binary64)) (.f64 (.f64 x z) y) (if (<=.f64 y #s(literal 270 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) z)) (.f64 z (*.f64 y x))))
(if (<=.f64 y #s(literal -81999999999999995678319931482888558591738835183281352899958906811614057738574774665216 binary64)) (.f64 z (.f64 y x)) (if (<=.f64 y #s(literal 8106479329266893/4503599627370496 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) z)) (.f64 z (*.f64 y x))))
(if (<=.f64 y #s(literal -57999999999999999468231054021029878309311320840744902947937631221770878094061751762944 binary64)) (.f64 x (.f64 z y)) (if (<=.f64 y #s(literal 2 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) z)) (.f64 x (*.f64 z y))))
(if (<=.f64 z #s(literal -4827966153212983/618970019642690137449562112 binary64)) (.f64 x (.f64 z y)) (if (<=.f64 z #s(literal 2369224592144251/84615164005151820665845159428194693098035799419427996068435045795123941278247852265624218936283556460491675139202989862944768 binary64)) x (.f64 x (.f64 z y))))
x

Outputs
(if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal -inf.0 binary64)) (.f64 z (.f64 y x)) (if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 9999999999999999818508707188399807864717650964328171247958398369899072554380053298205803424393137676263358464 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))))) (.f64 z (*.f64 x (+.f64 y #s(literal -1 binary64))))))
(if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal -inf.0 binary64)) (.f64 z (.f64 y x)) (if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 9999999999999999818508707188399807864717650964328171247958398369899072554380053298205803424393137676263358464 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 z (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))))) (.f64 z (*.f64 x (+.f64 y #s(literal -1 binary64))))))
(if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal -499999999999999978409886320820907879202552238629189140897698107811441303810555744076971465473716161022374445056 binary64)) (.f64 z (.f64 x (+.f64 y #s(literal -1 binary64)))) (if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 9999999999999999818508707188399807864717650964328171247958398369899072554380053298205803424393137676263358464 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z))) (.f64 z (.f64 x (+.f64 y #s(literal -1 binary64))))))
(if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal -499999999999999978409886320820907879202552238629189140897698107811441303810555744076971465473716161022374445056 binary64)) (.f64 z (.f64 x (+.f64 y #s(literal -1 binary64)))) (if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 9999999999999999818508707188399807864717650964328171247958398369899072554380053298205803424393137676263358464 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 y #s(literal -1 binary64))))) (.f64 z (.f64 x (+.f64 y #s(literal -1 binary64))))))
(if (<=.f64 z #s(literal -1 binary64)) (.f64 z (.f64 x (+.f64 y #s(literal -1 binary64)))) (if (<=.f64 z #s(literal 1 binary64)) (.f64 x (+.f64 (.f64 y z) #s(literal 1 binary64))) (.f64 z (.f64 x (+.f64 y #s(literal -1 binary64))))))
(if (<=.f64 z #s(literal -1 binary64)) (.f64 z (.f64 x (+.f64 y #s(literal -1 binary64)))) (if (<=.f64 z #s(literal 1 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 y z))) (.f64 z (.f64 x (+.f64 y #s(literal -1 binary64))))))
(if (<=.f64 y #s(literal -13/4 binary64)) (.f64 x (+.f64 (.f64 y z) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 5289050460814003/18889465931478580854784 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) z)) (.f64 x (+.f64 (*.f64 y z) #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -13/4 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 y z))) (if (<=.f64 y #s(literal 5289050460814003/18889465931478580854784 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) z)) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y z)))))
(if (<=.f64 y #s(literal -149999999999999988391111591020103379775994723625647353989573673734696344312623784787968 binary64)) (.f64 (.f64 x z) y) (if (<=.f64 y #s(literal 270 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) z)) (.f64 z (*.f64 y x))))
(if (<=.f64 y #s(literal -149999999999999988391111591020103379775994723625647353989573673734696344312623784787968 binary64)) (.f64 y (.f64 z x)) (if (<=.f64 y #s(literal 270 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) z)) (.f64 z (*.f64 y x))))
(if (<=.f64 y #s(literal -81999999999999995678319931482888558591738835183281352899958906811614057738574774665216 binary64)) (.f64 z (.f64 y x)) (if (<=.f64 y #s(literal 8106479329266893/4503599627370496 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) z)) (.f64 z (*.f64 y x))))
(if (<=.f64 y #s(literal -57999999999999999468231054021029878309311320840744902947937631221770878094061751762944 binary64)) (.f64 x (.f64 z y)) (if (<=.f64 y #s(literal 2 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) z)) (.f64 x (*.f64 z y))))
(if (<=.f64 y #s(literal -57999999999999999468231054021029878309311320840744902947937631221770878094061751762944 binary64)) (.f64 x (.f64 y z)) (if (<=.f64 y #s(literal 2 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) z)) (.f64 x (*.f64 y z))))
(if (<=.f64 z #s(literal -4827966153212983/618970019642690137449562112 binary64)) (.f64 x (.f64 z y)) (if (<=.f64 z #s(literal 2369224592144251/84615164005151820665845159428194693098035799419427996068435045795123941278247852265624218936283556460491675139202989862944768 binary64)) x (.f64 x (.f64 z y))))
(if (<=.f64 z #s(literal -4827966153212983/618970019642690137449562112 binary64)) (.f64 x (.f64 y z)) (if (<=.f64 z #s(literal 2369224592144251/84615164005151820665845159428194693098035799419427996068435045795123941278247852265624218936283556460491675139202989862944768 binary64)) x (.f64 x (.f64 y z))))
x

soundness2.0s (20.8%)

Rules

5202×	`-lowering-.f32`
5202×	`-lowering-.f64`
4506×	`-lowering-.f32`
4506×	`-lowering-.f64`
4388×	`-lowering-.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	19	78
1	99	78
2	765	78
0	8451	78
0	74	613
1	245	519
2	711	489
3	1876	488
4	6536	488
0	8087	488
0	8	24
1	42	24
2	330	22
3	3905	20
0	8191	20
0	504	4899
1	1756	4167
2	6425	4067
0	8541	4067
0	240	2417
1	803	2291
2	2794	2226
0	8330	2226
0	118	2368
1	386	2317
2	1244	1970
3	3543	1970
0	8194	1970

Stop Event

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

Compiler

Compiled 550 to 286 computations (48% saved)

preprocess78.0ms (0.8%)

Remove: (negabs x)
Compiler: Compiled 676 to 248 computations (63.3% saved)

Iter	Nodes	Cost
0	71	193
1	118	193
2	142	193
3	165	193
4	208	193
5	265	193
6	341	193
7	430	193
8	544	193
9	649	193
10	746	193
11	819	193
12	871	193
13	891	193
14	895	193

Iter	Nodes	Cost
0	71	193
1	118	193
2	142	193
3	165	193
4	208	193
5	265	193
6	341	193
7	430	193
8	544	193
9	649	193
10	746	193
11	819	193
12	871	193
13	891	193
14	895	193

analyze1.0ms (0%)

sample1.4s (15%)

preprocess231.0ms (2.4%)

explain95.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify153.0ms (1.6%)

localize74.0ms (0.8%)

series7.0ms (0.1%)

rewrite272.0ms (2.8%)

simplify167.0ms (1.7%)

eval34.0ms (0.3%)

prune73.0ms (0.8%)

simplify158.0ms (1.6%)

localize178.0ms (1.9%)

series30.0ms (0.3%)

rewrite344.0ms (3.6%)

simplify481.0ms (5%)

eval374.0ms (3.9%)

prune478.0ms (5%)

simplify189.0ms (2%)

localize109.0ms (1.1%)

series38.0ms (0.4%)

rewrite314.0ms (3.3%)

simplify224.0ms (2.3%)

eval167.0ms (1.7%)

prune116.0ms (1.2%)

simplify148.0ms (1.5%)

localize131.0ms (1.4%)

series17.0ms (0.2%)

rewrite352.0ms (3.7%)

simplify352.0ms (3.7%)

eval140.0ms (1.5%)

prune271.0ms (2.8%)

regimes50.0ms (0.5%)

regimes10.0ms (0.1%)

regimes5.0ms (0.1%)

regimes23.0ms (0.2%)

regimes7.0ms (0.1%)

regimes3.0ms (0%)

regimes4.0ms (0%)

regimes5.0ms (0.1%)

regimes4.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch44.0ms (0.5%)

bsearch28.0ms (0.3%)

bsearch50.0ms (0.5%)

bsearch26.0ms (0.3%)

bsearch26.0ms (0.3%)

bsearch38.0ms (0.4%)

simplify44.0ms (0.5%)

soundness2.0s (20.8%)

preprocess78.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	71	193
1	118	193
2	142	193
3	165	193
4	208	193
5	265	193
6	341	193
7	430	193
8	544	193
9	649	193
10	746	193
11	819	193
12	871	193
13	891	193
14	895	193