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)

sample1.5s (8.4%)

Results

1.1s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 550.0ms

ival-mult: 296.0ms (53.9% of total)

ival-sub: 230.0ms (41.8% of total)

const: 19.0ms (3.5% of total)

backward-pass: 4.0ms (0.7% of total)

Bogosity

preprocess561.0ms (3.1%)

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)

explain205.0ms (1.1%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
9	-	-	`(.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

95.0ms

512×

valid

Compiler

Compiled 76 to 26 computations (65.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-mult: 18.0ms (54.1% of total)

ival-sub: 14.0ms (42% of total)

const: 1.0ms (3% of total)

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

eval1.0ms (0%)

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

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.6%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify380.0ms (2.1%)

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

localize89.0ms (0.5%)

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	96.6%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))

Results

70.0ms

256×

valid

Compiler

Compiled 32 to 9 computations (71.9% saved)

Precisions

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

ival-mult: 9.0ms (55.6% of total)

ival-sub: 7.0ms (43.3% of total)

const: 1.0ms (6.2% of total)

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

series21.0ms (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
4.0ms	z	@	0	(* x (- 1 (* (- 1 y) z)))
3.0ms	z	@	inf	(* x (- 1 (* (- 1 y) z)))
2.0ms	x	@	0	(* x (- 1 (* (- 1 y) z)))
2.0ms	y	@	0	(* x (- 1 (* (- 1 y) z)))
1.0ms	x	@	inf	(* x (- 1 (* (- 1 y) z)))

rewrite622.0ms (3.4%)

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	328	22
3	3895	20
0	8105	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) 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 #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 (.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 (.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 (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 (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 (+.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) 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))
(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))
(.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 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 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 (.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 (-.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 (/.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) (.f64 z (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 z (.f64 (-.f64 #s(literal 1 binary64) y) z))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) z) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)))))
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(.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 y))) (/.f64 #s(literal 1 binary64) (+.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 (.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 (/.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 y) (.f64 (+.f64 #s(literal 1 binary64) 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 y) (.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))))) (-.f64 #s(literal 1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) y))))
(+.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 y) (.f64 (+.f64 #s(literal 1 binary64) 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 y) (.f64 (+.f64 #s(literal 1 binary64) 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 #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 (.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 (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 y) (.f64 (+.f64 #s(literal 1 binary64) 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 y) (.f64 (+.f64 #s(literal 1 binary64) 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)))))

simplify405.0ms (2.2%)

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	8083	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)

eval116.0ms (0.6%)

Compiler: Compiled 7690 to 874 computations (88.6% saved)

prune97.0ms (0.5%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	296	9	305
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	297	9	306

Accuracy

96.7%

Counts

306 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	28.3%	(/.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))))))))
▶	68.2%	(/.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)))
▶	96.5%	(/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))))
	84.7%	(.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (.f64 z (-.f64 #s(literal 1 binary64) (*.f64 y y))) (+.f64 #s(literal 1 binary64) y))))
▶	96.6%	(.f64 x (-.f64 #s(literal 1 binary64) (-.f64 z (.f64 z y))))
▶	70.0%	(*.f64 x (-.f64 #s(literal 1 binary64) z))
	57.6%	(.f64 x (.f64 z (+.f64 y #s(literal -1 binary64))))
	31.9%	(.f64 x (.f64 z y))
▶	41.4%	x

Compiler

Compiled 292 to 162 computations (44.5% saved)

simplify458.0ms (2.5%)

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 z y)
✓	cost-diff	0	(-.f64 z (*.f64 z y))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (-.f64 z (*.f64 z y)))
✓	cost-diff	0	(.f64 x (-.f64 #s(literal 1 binary64) (-.f64 z (.f64 z y))))

Rules

2280×	`sum3-define`
1962×	`fma-lowering-fma.f32`
1962×	`fma-lowering-fma.f64`
1756×	`-lowering-.f32`
1756×	`-lowering-.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	24	171
1	66	168
2	185	151
3	571	147
4	2377	147
5	6669	147
0	8048	147

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

localize300.0ms (1.6%)

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 z (.f64 (-.f64 #s(literal 1 binary64) y) z))
✓	accuracy	98.4%	(.f64 (-.f64 #s(literal 1 binary64) y) (.f64 z (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
✓	accuracy	93.3%	(.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	75.9%	(/.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	99.2%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
✓	accuracy	97.4%	(/.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) (-.f64 z (*.f64 z y)))
✓	accuracy	100.0%	(*.f64 z y)
✓	accuracy	100.0%	(-.f64 z (*.f64 z y))
✓	accuracy	96.6%	(.f64 x (-.f64 #s(literal 1 binary64) (-.f64 z (.f64 z y))))

Results

212.0ms

256×

valid

Compiler

Compiled 180 to 25 computations (86.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 76.0ms

ival-mult: 36.0ms (47.4% of total)

ival-sub: 16.0ms (21.1% of total)

ival-div: 14.0ms (18.4% of total)

ival-add: 9.0ms (11.9% of total)

const: 1.0ms (1.3% of total)

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

series128.0ms (0.7%)

Counts

16 → 408

Calls

Call 1

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

102 calls:

Time	Variable		Point	Expression
50.0ms	z	@	-inf	(/ (* (+ -1 (* (- 1 y) (* z (* (- 1 y) z)))) x) (+ (* z (+ y -1)) -1))
12.0ms	x	@	0	(/ (* (+ -1 (* (- 1 y) (* z (* (- 1 y) z)))) x) (+ (* z (+ y -1)) -1))
4.0ms	y	@	inf	(* x (- 1 (- z (* z y))))
4.0ms	y	@	0	(/ (* (+ -1 (* (- 1 y) (* z (* (- 1 y) z)))) x) (+ (* z (+ y -1)) -1))
2.0ms	y	@	inf	(/ (* (+ -1 (* (- 1 y) (* z (* (- 1 y) z)))) x) (+ (* z (+ y -1)) -1))

rewrite939.0ms (5.2%)

Algorithm

1×	batch-egg-rewrite

Rules

3526×	`/-lowering-/.f32`
3526×	`/-lowering-/.f64`
3458×	`-lowering-.f32`
3458×	`-lowering-.f64`
2576×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	132
1	171	116
2	1543	104
0	8804	104

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 717

Calls

Call 1

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

simplify1.1s (5.9%)

Algorithm

1×	egg-herbie

Rules

4516×	`-lowering-.f32`
4516×	`-lowering-.f64`
2260×	`+-lowering-+.f64`
2260×	`+-lowering-+.f32`
1838×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	504	4855
1	1777	4429
2	6460	4390
0	8673	4390

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 408

Calls

Call 1

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

eval510.0ms (2.8%)

Compiler: Compiled 34996 to 3319 computations (90.5% saved)

prune424.0ms (2.3%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	1290	4	1294
Fresh	2	2	4
Picked	2	3	5
Done	0	0	0
Total	1294	9	1303

Accuracy

100.0%

Counts

1303 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.5%	(/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (-.f64 z (*.f64 z y)))))
▶	31.9%	(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y z)))
	86.2%	(.f64 z (+.f64 (.f64 x (+.f64 y #s(literal -1 binary64))) (/.f64 x z)))
▶	78.6%	(.f64 y (.f64 x (+.f64 z (/.f64 (-.f64 #s(literal 1 binary64) z) y))))
✓	96.6%	(.f64 x (-.f64 #s(literal 1 binary64) (-.f64 z (.f64 z y))))
✓	70.0%	(*.f64 x (-.f64 #s(literal 1 binary64) z))
▶	57.6%	(.f64 x (.f64 z (+.f64 y #s(literal -1 binary64))))
▶	31.9%	(.f64 x (.f64 z y))
✓	41.4%	x

Compiler

Compiled 164 to 109 computations (33.5% saved)

simplify303.0ms (1.7%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

1740×	`sum4-define`
1526×	`sum3-define`
1444×	`-lowering-.f32`
1444×	`-lowering-.f64`
1310×	`fnmsub-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	121
1	67	119
2	186	114
3	444	110
4	1240	110
5	4097	110
0	8256	110

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize327.0ms (1.8%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 (-.f64 #s(literal 1 binary64) z) y)
✓	accuracy	100.0%	(+.f64 z (/.f64 (-.f64 #s(literal 1 binary64) z) y))
✓	accuracy	96.0%	(*.f64 x (+.f64 z (/.f64 (-.f64 #s(literal 1 binary64) z) y)))
✓	accuracy	82.5%	(.f64 y (.f64 x (+.f64 z (/.f64 (-.f64 #s(literal 1 binary64) z) y))))
✓	accuracy	100.0%	(*.f64 y z)
✓	accuracy	99.0%	(/.f64 #s(literal 1 binary64) (*.f64 y z))
✓	accuracy	92.5%	(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y z)))
✓	accuracy	100.0%	(+.f64 y #s(literal -1 binary64))
✓	accuracy	100.0%	(*.f64 z (+.f64 y #s(literal -1 binary64)))
✓	accuracy	96.6%	(.f64 x (.f64 z (+.f64 y #s(literal -1 binary64))))
✓	accuracy	100.0%	(*.f64 z y)
✓	accuracy	91.8%	(.f64 x (.f64 z y))
✓	accuracy	100.0%	(*.f64 z y)
✓	accuracy	100.0%	(-.f64 z (*.f64 z y))
✓	accuracy	99.2%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (-.f64 z (*.f64 z y))))
✓	accuracy	97.4%	(/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (-.f64 z (*.f64 z y)))))

Results

200.0ms

256×

valid

Compiler

Compiled 131 to 23 computations (82.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 70.0ms

ival-mult: 32.0ms (45.4% of total)

ival-div: 22.0ms (31.2% of total)

ival-sub: 9.0ms (12.8% of total)

ival-add: 6.0ms (8.5% of total)

const: 1.0ms (1.4% of total)

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

series79.0ms (0.4%)

Counts

16 → 444

Calls

Call 1

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

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

Calls

111 calls:

Time	Variable		Point	Expression
21.0ms	x	@	0	(* y (* x (+ z (/ (- 1 z) y))))
3.0ms	z	@	-inf	(* x (* z (+ y -1)))
2.0ms	y	@	-inf	(* y (* x (+ z (/ (- 1 z) y))))
1.0ms	z	@	0	(* x (* z (+ y -1)))
1.0ms	z	@	inf	(* x (* z (+ y -1)))

rewrite912.0ms (5%)

Algorithm

1×	batch-egg-rewrite

Rules

4106×	`/-lowering-/.f32`
4106×	`/-lowering-/.f64`
3658×	`-lowering-.f32`
3658×	`-lowering-.f64`
2106×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	97
1	157	96
2	1258	92
0	8671	92

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 822

Calls

Call 1

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

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

simplify837.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

4650×	`-lowering-.f32`
4650×	`-lowering-.f64`
2888×	`+-lowering-+.f64`
2888×	`+-lowering-+.f32`
1752×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	280	3048
1	931	2794
2	3083	2782
0	9234	2782

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 444

Calls

Call 1

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

eval429.0ms (2.4%)

Compiler: Compiled 23681 to 3133 computations (86.8% saved)

prune473.0ms (2.6%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	1315	6	1321
Fresh	1	0	1
Picked	4	1	5
Done	0	3	3
Total	1320	10	1330

Accuracy

100.0%

Counts

1330 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	59.4%	(.f64 (+.f64 y #s(literal -1 binary64)) (.f64 x z))
▶	35.2%	(.f64 (.f64 x z) y)
▶	32.4%	(.f64 (.f64 x y) z)
▶	34.7%	(*.f64 y (/.f64 x y))
	26.4%	(.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 x z) (.f64 x z)) (-.f64 (.f64 (/.f64 (.f64 x (-.f64 #s(literal 1 binary64) z)) y) (/.f64 (.f64 x (-.f64 #s(literal 1 binary64) z)) y)) (.f64 (.f64 x z) (/.f64 (.f64 x (-.f64 #s(literal 1 binary64) z)) y)))) (+.f64 (.f64 (.f64 x z) (.f64 (.f64 x z) (.f64 x z))) (.f64 (/.f64 (.f64 x (-.f64 #s(literal 1 binary64) z)) y) (.f64 (/.f64 (.f64 x (-.f64 #s(literal 1 binary64) z)) y) (/.f64 (.f64 x (-.f64 #s(literal 1 binary64) z)) y)))))))
▶	57.6%	(.f64 x (-.f64 (.f64 z y) z))
✓	96.6%	(.f64 x (-.f64 #s(literal 1 binary64) (-.f64 z (.f64 z y))))
✓	70.0%	(*.f64 x (-.f64 #s(literal 1 binary64) z))
✓	31.9%	(.f64 x (.f64 z y))
✓	41.4%	x

Compiler

Compiled 276 to 116 computations (58% saved)

simplify674.0ms (3.7%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Rules

2458×	`-lowering-.f32`
2458×	`-lowering-.f64`
2114×	`fma-lowering-fma.f32`
2114×	`fma-lowering-fma.f64`
1944×	`fmsub-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	62
1	34	62
2	61	60
3	110	60
4	150	60
5	361	60
6	1258	60
7	5868	60
0	8349	60

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize202.0ms (1.1%)

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 z y)
✓	accuracy	100.0%	(-.f64 (*.f64 z y) z)
✓	accuracy	96.6%	(.f64 x (-.f64 (.f64 z y) z))
✓	accuracy	100.0%	(*.f64 x z)
✓	accuracy	94.0%	(.f64 (.f64 x z) y)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	90.0%	(.f64 (.f64 x y) z)
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	76.3%	(*.f64 y (/.f64 x y))
✓	accuracy	100.0%	(+.f64 y #s(literal -1 binary64))
✓	accuracy	100.0%	(*.f64 x z)
✓	accuracy	96.7%	(.f64 (+.f64 y #s(literal -1 binary64)) (.f64 x z))

Results

159.0ms

256×

valid

Compiler

Compiled 71 to 16 computations (77.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-mult: 36.0ms (74.6% of total)

ival-div: 5.0ms (10.4% of total)

ival-sub: 3.0ms (6.2% of total)

ival-add: 3.0ms (6.2% of total)

const: 1.0ms (2.1% of total)

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

series36.0ms (0.2%)

Counts

11 → 300

Calls

Call 1

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

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

Calls

75 calls:

Time	Variable		Point	Expression
7.0ms	y	@	-inf	(/ x y)
6.0ms	x	@	-inf	(/ x y)
1.0ms	x	@	0	(* x (- (* z y) z))
1.0ms	x	@	inf	(/ x y)
1.0ms	x	@	inf	(* x (- (* z y) z))

rewrite724.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

3482×	`-lowering-.f32`
3482×	`-lowering-.f64`
1624×	`pow-lowering-pow.f64`
1624×	`pow-lowering-pow.f32`
1490×	`fmsub-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	48
1	67	48
2	396	42
3	3666	42
0	8652	42

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 435

Calls

Call 1

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

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

simplify326.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1740×	`fmsub-define`
1678×	`fnmsub-define`
1584×	`-lowering-.f32`
1584×	`-lowering-.f64`
1458×	`fmm-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	44	1503
1	144	1218
2	438	1218
3	1072	1218
4	3305	1218
0	8144	1218

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 300

Calls

Call 1

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

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

eval222.0ms (1.2%)

Compiler: Compiled 11833 to 1006 computations (91.5% saved)

prune203.0ms (1.1%)

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	761	0	761
Fresh	0	1	1
Picked	0	5	5
Done	0	4	4
Total	761	10	771

Accuracy

100.0%

Counts

771 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	59.4%	(.f64 (+.f64 y #s(literal -1 binary64)) (.f64 x z))
✓	35.2%	(.f64 (.f64 x z) y)
✓	32.4%	(.f64 (.f64 x y) z)
✓	34.7%	(*.f64 y (/.f64 x y))
	26.4%	(.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 x z) (.f64 x z)) (-.f64 (.f64 (/.f64 (.f64 x (-.f64 #s(literal 1 binary64) z)) y) (/.f64 (.f64 x (-.f64 #s(literal 1 binary64) z)) y)) (.f64 (.f64 x z) (/.f64 (.f64 x (-.f64 #s(literal 1 binary64) z)) y)))) (+.f64 (.f64 (.f64 x z) (.f64 (.f64 x z) (.f64 x z))) (.f64 (/.f64 (.f64 x (-.f64 #s(literal 1 binary64) z)) y) (.f64 (/.f64 (.f64 x (-.f64 #s(literal 1 binary64) z)) y) (/.f64 (.f64 x (-.f64 #s(literal 1 binary64) z)) y)))))))
✓	57.6%	(.f64 x (-.f64 (.f64 z y) z))
✓	96.6%	(.f64 x (-.f64 #s(literal 1 binary64) (-.f64 z (.f64 z y))))
✓	70.0%	(*.f64 x (-.f64 #s(literal 1 binary64) z))
✓	31.9%	(.f64 x (.f64 z y))
✓	41.4%	x

Compiler

Compiled 429 to 147 computations (65.7% saved)

regimes70.0ms (0.4%)

Counts

20 → 2

Calls

Call 1

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

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

Calls

7 calls:

12.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))
9.0ms	x
9.0ms	z
9.0ms	(*.f64 (-.f64 #s(literal 1 binary64) y) z)
9.0ms	y

Results

Accuracy	Segments	Branch
99.9%	2	`x`
96.6%	1	`y`
98.5%	2	`z`
98.8%	2	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))`
98.8%	2	`(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))`
98.8%	2	`(*.f64 (-.f64 #s(literal 1 binary64) y) z)`
96.6%	1	`(-.f64 #s(literal 1 binary64) y)`

Compiler

Compiled 48 to 35 computations (27.1% saved)

regimes33.0ms (0.2%)

Counts

13 → 2

Calls

Call 1

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

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

Calls

4 calls:

11.0ms	(*.f64 (-.f64 #s(literal 1 binary64) y) z)
7.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))
7.0ms	x
6.0ms	(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))

Results

Accuracy	Segments	Branch
98.8%	2	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))`
98.8%	2	`(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))`
98.8%	2	`(*.f64 (-.f64 #s(literal 1 binary64) y) z)`
96.6%	1	`x`

Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes20.0ms (0.1%)

Counts

11 → 2

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.8%	2	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))`
98.8%	2	`(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))`
98.8%	2	`(*.f64 (-.f64 #s(literal 1 binary64) y) z)`

Compiler

Compiled 30 to 21 computations (30% saved)

regimes22.0ms (0.1%)

Counts

10 → 3

Calls

Call 1

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

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

Calls

3 calls:

8.0ms	z
6.0ms	x
6.0ms	y

Results

Accuracy	Segments	Branch
73.2%	3	`x`
88.4%	3	`y`
90.7%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes11.0ms (0.1%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	z
5.0ms	y

Results

Accuracy	Segments	Branch
88.4%	3	`y`
87.3%	3	`z`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes6.0ms (0%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
88.4%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes5.0ms (0%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
87.8%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes7.0ms (0%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
87.7%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes9.0ms (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:

3.0ms	y
3.0ms	x
3.0ms	z

Results

Accuracy	Segments	Branch
44.9%	3	`x`
61.3%	3	`z`
60.6%	3	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes8.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

3 calls:

2.0ms	x
2.0ms	y
2.0ms	z

Results

Accuracy	Segments	Branch
41.4%	1	`x`
41.4%	1	`y`
41.4%	1	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch12.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
11.0ms	4.582925608446165e-53	6.59209540523755e-50

Results

6.0ms

48×

valid

Compiler

Compiled 102 to 70 computations (31.4% saved)

Precisions

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

ival-mult: 2.0ms (64.3% of total)

ival-sub: 1.0ms (32.2% of total)

const: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	7.214586673256437e+307	+inf

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	7.214586673256437e+307	+inf

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch61.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
25.0ms	9.571511973083493e-6	0.0014559399005919947
31.0ms	-0.20496074465883807	-0.0003315288726950493

Results

34.0ms

240×

valid

Compiler

Compiled 318 to 238 computations (25.2% saved)

Precisions

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

ival-mult: 8.0ms (52.6% of total)

ival-sub: 6.0ms (39.4% of total)

const: 1.0ms (6.6% of total)

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

bsearch52.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
33.0ms	7.407489224897594e+48	3.591576412699749e+53
14.0ms	-7.958052654096321e+120	-4.555302792135902e+120

Results

30.0ms

192×

valid

Compiler

Compiled 250 to 185 computations (26% saved)

Precisions

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

ival-mult: 7.0ms (57.1% of total)

ival-sub: 5.0ms (40.8% of total)

const: 0.0ms (0% of total)

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

bsearch50.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
32.0ms	7.407489224897594e+48	3.591576412699749e+53
14.0ms	-7.958052654096321e+120	-4.555302792135902e+120

Results

28.0ms

192×

valid

Compiler

Compiled 234 to 169 computations (27.8% saved)

Precisions

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

ival-mult: 10.0ms (63.7% of total)

ival-sub: 5.0ms (31.8% of total)

const: 0.0ms (0% of total)

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

bsearch47.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
28.0ms	7.407489224897594e+48	3.591576412699749e+53
14.0ms	-7.958052654096321e+120	-4.555302792135902e+120

Results

25.0ms

192×

valid

Compiler

Compiled 234 to 169 computations (27.8% saved)

Precisions

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

ival-mult: 7.0ms (57% of total)

ival-sub: 5.0ms (40.7% of total)

const: 0.0ms (0% of total)

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

bsearch84.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
28.0ms	7.407489224897594e+48	3.591576412699749e+53
51.0ms	-7.958052654096321e+120	-4.555302792135902e+120

Results

61.0ms

192×

valid

Compiler

Compiled 234 to 169 computations (27.8% saved)

Precisions

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

ival-mult: 7.0ms (58.7% of total)

ival-sub: 5.0ms (41.9% of total)

const: 0.0ms (0% of total)

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

bsearch61.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
27.0ms	9.571511973083493e-6	0.0014559399005919947
29.0ms	-0.20496074465883807	-0.0003315288726950493

Results

34.0ms

240×

valid

Compiler

Compiled 228 to 163 computations (28.5% saved)

Precisions

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

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

ival-sub: 6.0ms (38.9% of total)

const: 1.0ms (6.5% of total)

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

simplify106.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

288×	`distribute-lft-neg-in_binary64`
174×	`unsub-neg_binary64`
146×	`neg-mul-1_binary64`
140×	`neg-sub0_binary64`
114×	`distribute-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	195
1	113	195
2	143	195
3	175	195
4	237	195
5	334	195
6	476	195
7	595	195
8	697	195
9	763	195
10	814	195
11	859	195
12	898	195
13	913	195
14	916	195

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal 1684996666696915/842498333348457493583344221469363458551160763204392890034487820288 binary64)) (.f64 z (+.f64 (.f64 x (+.f64 y #s(literal -1 binary64))) (/.f64 x z))) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z))))
(if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 100000000000000001097906362944045541740492309677311846336810682903157585404911491537163328978494688899061249669721172515611590283743140088328307009198146046031271664502933027185697489699588559043338384466165001178426897626212945177628091195786707458122783970171784415105291802893207873272974885715430223118336 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) (-.f64 z (.f64 z y)))) (.f64 (*.f64 x y) z))
(if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 100000000000000001097906362944045541740492309677311846336810682903157585404911491537163328978494688899061249669721172515611590283743140088328307009198146046031271664502933027185697489699588559043338384466165001178426897626212945177628091195786707458122783970171784415105291802893207873272974885715430223118336 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z))) (.f64 (*.f64 x y) z))
(if (<=.f64 z #s(literal -7493989779944505/288230376151711744 binary64)) (.f64 (+.f64 y #s(literal -1 binary64)) (.f64 x z)) (if (<=.f64 z #s(literal 1936908127739503/18446744073709551616 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) z)) (.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 x z))))
(if (<=.f64 y #s(literal -6000000000000000453395464081883084992718054982903786308273137163054915422161782199519455631701156656033294728617883860992 binary64)) (.f64 (.f64 x z) y) (if (<=.f64 y #s(literal 42000000000000002166043961551627015677786021953536 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) z)) (.f64 x (*.f64 z (+.f64 y #s(literal -1 binary64))))))
(if (<=.f64 y #s(literal -5100000000000000270711213670097046663269301970363871322203917130182621921958072900245393482521742754127372863818916954112 binary64)) (.f64 (.f64 x z) y) (if (<=.f64 y #s(literal 65000000000000004959350396709726552141727231115264 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) z)) (.f64 x (*.f64 z y))))
(if (<=.f64 y #s(literal -4599999999999999850678488998261537645405981504774065663753657505214525013846451152464959498465845021121506118079812206592 binary64)) (.f64 (.f64 x y) z) (if (<=.f64 y #s(literal 26999999999999999816965614207763955364466127932489728 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) z)) (.f64 x (*.f64 z y))))
(if (<=.f64 y #s(literal -6000000000000000453395464081883084992718054982903786308273137163054915422161782199519455631701156656033294728617883860992 binary64)) (.f64 x (.f64 z y)) (if (<=.f64 y #s(literal 29000000000000000135714510502716179543341309886464 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) z)) (.f64 x (*.f64 z y))))
(if (<=.f64 z #s(literal -6456360425798343/18446744073709551616 binary64)) (.f64 x (.f64 z y)) (if (<=.f64 z #s(literal 5902958103587057/590295810358705651712 binary64)) x (.f64 x (.f64 z y))))
x

Outputs
(if (<=.f64 x #s(literal 1684996666696915/842498333348457493583344221469363458551160763204392890034487820288 binary64)) (.f64 z (+.f64 (.f64 x (+.f64 y #s(literal -1 binary64))) (/.f64 x z))) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z))))
(if (<=.f64 x #s(literal 1684996666696915/842498333348457493583344221469363458551160763204392890034487820288 binary64)) (.f64 z (+.f64 (.f64 x (+.f64 y #s(literal -1 binary64))) (/.f64 x z))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 y #s(literal -1 binary64))))))
(if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 100000000000000001097906362944045541740492309677311846336810682903157585404911491537163328978494688899061249669721172515611590283743140088328307009198146046031271664502933027185697489699588559043338384466165001178426897626212945177628091195786707458122783970171784415105291802893207873272974885715430223118336 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) (-.f64 z (.f64 z y)))) (.f64 (*.f64 x y) z))
(if (<=.f64 (.f64 z (-.f64 #s(literal 1 binary64) y)) #s(literal 100000000000000001097906362944045541740492309677311846336810682903157585404911491537163328978494688899061249669721172515611590283743140088328307009198146046031271664502933027185697489699588559043338384466165001178426897626212945177628091195786707458122783970171784415105291802893207873272974885715430223118336 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (-.f64 (.f64 z y) z))) (.f64 z (*.f64 x y)))
(if (<=.f64 (.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 100000000000000001097906362944045541740492309677311846336810682903157585404911491537163328978494688899061249669721172515611590283743140088328307009198146046031271664502933027185697489699588559043338384466165001178426897626212945177628091195786707458122783970171784415105291802893207873272974885715430223118336 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z))) (.f64 (*.f64 x y) z))
(if (<=.f64 (.f64 z (-.f64 #s(literal 1 binary64) y)) #s(literal 100000000000000001097906362944045541740492309677311846336810682903157585404911491537163328978494688899061249669721172515611590283743140088328307009198146046031271664502933027185697489699588559043338384466165001178426897626212945177628091195786707458122783970171784415105291802893207873272974885715430223118336 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 z (+.f64 y #s(literal -1 binary64))))) (.f64 z (*.f64 x y)))
(if (<=.f64 z #s(literal -7493989779944505/288230376151711744 binary64)) (.f64 (+.f64 y #s(literal -1 binary64)) (.f64 x z)) (if (<=.f64 z #s(literal 1936908127739503/18446744073709551616 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) z)) (.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 x z))))
(if (<=.f64 y #s(literal -6000000000000000453395464081883084992718054982903786308273137163054915422161782199519455631701156656033294728617883860992 binary64)) (.f64 (.f64 x z) y) (if (<=.f64 y #s(literal 42000000000000002166043961551627015677786021953536 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) z)) (.f64 x (*.f64 z (+.f64 y #s(literal -1 binary64))))))
(if (<=.f64 y #s(literal -6000000000000000453395464081883084992718054982903786308273137163054915422161782199519455631701156656033294728617883860992 binary64)) (.f64 y (.f64 x z)) (if (<=.f64 y #s(literal 42000000000000002166043961551627015677786021953536 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) z)) (.f64 x (*.f64 z (+.f64 y #s(literal -1 binary64))))))
(if (<=.f64 y #s(literal -5100000000000000270711213670097046663269301970363871322203917130182621921958072900245393482521742754127372863818916954112 binary64)) (.f64 (.f64 x z) y) (if (<=.f64 y #s(literal 65000000000000004959350396709726552141727231115264 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) z)) (.f64 x (*.f64 z y))))
(if (<=.f64 y #s(literal -5100000000000000270711213670097046663269301970363871322203917130182621921958072900245393482521742754127372863818916954112 binary64)) (.f64 y (.f64 x z)) (if (<=.f64 y #s(literal 65000000000000004959350396709726552141727231115264 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) z)) (.f64 x (*.f64 z y))))
(if (<=.f64 y #s(literal -4599999999999999850678488998261537645405981504774065663753657505214525013846451152464959498465845021121506118079812206592 binary64)) (.f64 (.f64 x y) z) (if (<=.f64 y #s(literal 26999999999999999816965614207763955364466127932489728 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) z)) (.f64 x (*.f64 z y))))
(if (<=.f64 y #s(literal -4599999999999999850678488998261537645405981504774065663753657505214525013846451152464959498465845021121506118079812206592 binary64)) (.f64 z (.f64 x y)) (if (<=.f64 y #s(literal 26999999999999999816965614207763955364466127932489728 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) z)) (.f64 x (*.f64 z y))))
(if (<=.f64 y #s(literal -6000000000000000453395464081883084992718054982903786308273137163054915422161782199519455631701156656033294728617883860992 binary64)) (.f64 x (.f64 z y)) (if (<=.f64 y #s(literal 29000000000000000135714510502716179543341309886464 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) z)) (.f64 x (*.f64 z y))))
(if (<=.f64 z #s(literal -6456360425798343/18446744073709551616 binary64)) (.f64 x (.f64 z y)) (if (<=.f64 z #s(literal 5902958103587057/590295810358705651712 binary64)) x (.f64 x (.f64 z y))))
x

soundness3.6s (19.7%)

Rules

4516×	`-lowering-.f32`
4516×	`-lowering-.f64`
4106×	`/-lowering-/.f32`
4106×	`/-lowering-/.f64`
3658×	`-lowering-.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	8	24
1	42	24
2	328	22
3	3895	20
0	8105	20
0	504	4855
1	1777	4429
2	6460	4390
0	8673	4390
0	22	97
1	157	96
2	1258	92
0	8671	92
0	74	613
1	245	519
2	711	489
3	1876	488
4	6536	488
0	8083	488

Stop Event

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

Compiler

Compiled 440 to 221 computations (49.8% saved)

preprocess339.0ms (1.9%)

Compiler: Compiled 618 to 232 computations (62.5% saved)

Iter	Nodes	Cost
0	69	195
1	113	195
2	143	195
3	175	195
4	237	195
5	334	195
6	476	195
7	595	195
8	697	195
9	763	195
10	814	195
11	859	195
12	898	195
13	913	195
14	916	195

Iter	Nodes	Cost
0	69	195
1	113	195
2	143	195
3	175	195
4	237	195
5	334	195
6	476	195
7	595	195
8	697	195
9	763	195
10	814	195
11	859	195
12	898	195
13	913	195
14	916	195

analyze1.0ms (0%)

sample1.5s (8.4%)

preprocess561.0ms (3.1%)

explain205.0ms (1.1%)

eval1.0ms (0%)

prune2.0ms (0%)

simplify380.0ms (2.1%)

localize89.0ms (0.5%)

series21.0ms (0.1%)

rewrite622.0ms (3.4%)

simplify405.0ms (2.2%)

eval116.0ms (0.6%)

prune97.0ms (0.5%)

simplify458.0ms (2.5%)

localize300.0ms (1.6%)

series128.0ms (0.7%)

rewrite939.0ms (5.2%)

simplify1.1s (5.9%)

eval510.0ms (2.8%)

prune424.0ms (2.3%)

simplify303.0ms (1.7%)

localize327.0ms (1.8%)

series79.0ms (0.4%)

rewrite912.0ms (5%)

simplify837.0ms (4.6%)

eval429.0ms (2.4%)

prune473.0ms (2.6%)

simplify674.0ms (3.7%)

localize202.0ms (1.1%)

series36.0ms (0.2%)

rewrite724.0ms (4%)

simplify326.0ms (1.8%)

eval222.0ms (1.2%)

prune203.0ms (1.1%)

regimes70.0ms (0.4%)

regimes33.0ms (0.2%)

regimes20.0ms (0.1%)

regimes22.0ms (0.1%)

regimes11.0ms (0.1%)

regimes6.0ms (0%)

regimes5.0ms (0%)

regimes7.0ms (0%)

regimes9.0ms (0.1%)

regimes8.0ms (0%)

bsearch12.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch61.0ms (0.3%)

bsearch52.0ms (0.3%)

bsearch50.0ms (0.3%)

bsearch47.0ms (0.3%)

bsearch84.0ms (0.5%)

bsearch61.0ms (0.3%)

simplify106.0ms (0.6%)

soundness3.6s (19.7%)

preprocess339.0ms (1.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	69	195
1	113	195
2	143	195
3	175	195
4	237	195
5	334	195
6	476	195
7	595	195
8	697	195
9	763	195
10	814	195
11	859	195
12	898	195
13	913	195
14	916	195