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

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 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)

sample933.0ms (9.5%)

Results

646.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 391.0ms

ival-mult: 203.0ms (51.9% of total)

ival-sub: 176.0ms (45% of total)

const: 10.0ms (2.6% of total)

backward-pass: 3.0ms (0.8% of total)

Bogosity

preprocess232.0ms (2.4%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	node limit

Calls

Call 1

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

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

Call 2

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

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

Symmetry

(negabs x)

explain80.0ms (0.8%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
6	-	-	`(.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

49.0ms

512×

valid

Compiler

Compiled 76 to 26 computations (65.8% saved)

Precisions

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

ival-mult: 17.0ms (65% of total)

ival-sub: 8.0ms (30.6% of total)

const: 1.0ms (3.8% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.7%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify161.0ms (1.6%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize215.0ms (2.2%)

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	97.7%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))

Results

207.0ms

256×

valid

Compiler

Compiled 32 to 9 computations (71.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 154.0ms

ival-mult: 151.0ms (97.9% of total)

ival-sub: 3.0ms (1.9% of total)

const: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Counts

4 → 96

Calls

Call 1

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

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

Calls

24 calls:

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

rewrite266.0ms (2.7%)

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)))))

simplify166.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

eval34.0ms (0.3%)

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

prune39.0ms (0.4%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	293	12	305
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	294	12	306

Accuracy

97.8%

Counts

306 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	74.1%	(/.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)))
▶	97.6%	(/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))))
	74.0%	(/.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))))))))
▶	97.7%	(-.f64 x (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) z) x))
	73.6%	(.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))))
	97.7%	(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))))
▶	97.7%	(.f64 x (-.f64 #s(literal 1 binary64) (-.f64 z (.f64 z y))))
	85.4%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 z (+.f64 #s(literal 1 binary64) y)))))
▶	67.7%	(*.f64 x (-.f64 #s(literal 1 binary64) z))
	58.2%	(.f64 x (.f64 z (+.f64 y #s(literal -1 binary64))))
	37.9%	(.f64 x (.f64 z y))
▶	42.1%	x

Compiler

Compiled 360 to 220 computations (38.9% saved)

simplify176.0ms (1.8%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Rules

2224×	`sum3-define`
2124×	`sum4-define`
1462×	`fmsub-define`
1448×	`fnmsub-define`
1406×	`fnmadd-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	17	104
1	49	104
2	128	91
3	375	90
4	1047	90
5	2974	90
6	5925	90
7	6770	90
8	6784	90
9	6789	90
10	6804	90
11	7475	90
0	7475	90

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize104.0ms (1.1%)

Localize:

Found 14 expressions of interest:

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

Results

63.0ms

256×

valid

Compiler

Compiled 111 to 18 computations (83.8% saved)

Precisions

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

ival-mult: 21.0ms (64.4% of total)

ival-sub: 7.0ms (21.5% of total)

ival-div: 3.0ms (9.2% of total)

const: 0.0ms (0% of total)

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

series19.0ms (0.2%)

Counts

13 → 336

Calls

Call 1

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

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

Calls

84 calls:

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

rewrite449.0ms (4.6%)

Algorithm

1×	batch-egg-rewrite

Rules

3470×	`-lowering-.f32`
3470×	`-lowering-.f64`
3112×	`/-lowering-/.f32`
3112×	`/-lowering-/.f64`
1998×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	80
1	129	80
2	1138	68
0	8466	68

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 777

Calls

Call 1

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

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

simplify386.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

4232×	`-lowering-.f32`
4232×	`-lowering-.f64`
3008×	`+-lowering-+.f64`
3008×	`+-lowering-+.f32`
1316×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	283	2816
1	945	2382
2	2965	2293
0	8413	2293

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 336

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

eval173.0ms (1.8%)

Compiler: Compiled 30584 to 2126 computations (93% saved)

prune246.0ms (2.5%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	1253	6	1259
Fresh	5	2	7
Picked	2	3	5
Done	0	0	0
Total	1260	11	1271

Accuracy

100.0%

Counts

1271 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.5%	(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) y))) (/.f64 #s(literal 1 binary64) x))
▶	58.2%	(/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) z))
▶	37.9%	(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 z y)))
	98.6%	(-.f64 x (/.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))))
▶	98.6%	(-.f64 x (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 x z)))
	96.6%	(-.f64 x (.f64 (.f64 x (-.f64 #s(literal 1 binary64) y)) z))
✓	97.7%	(.f64 x (-.f64 #s(literal 1 binary64) (-.f64 z (.f64 z y))))
✓	67.7%	(*.f64 x (-.f64 #s(literal 1 binary64) z))
	58.2%	(.f64 x (.f64 z (+.f64 y #s(literal -1 binary64))))
▶	37.9%	(.f64 x (.f64 z y))
✓	42.1%	x

Compiler

Compiled 208 to 143 computations (31.3% saved)

simplify145.0ms (1.5%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

2122×	`fnmadd-define`
1920×	`fnmsub-define`
1694×	`fmm-def`
1512×	`fma-lowering-fma.f32`
1512×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	21	113
1	57	112
2	138	110
3	371	102
4	1140	102
5	2812	102
6	7128	100
0	8062	100

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize150.0ms (1.5%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) y)))
✓	accuracy	100.0%	(+.f64 #s(literal -1 binary64) y)
✓	accuracy	100.0%	(*.f64 z (+.f64 #s(literal -1 binary64) y))
✓	accuracy	97.5%	(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) y))) (/.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y))
✓	accuracy	99.8%	(/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) z)
✓	accuracy	97.5%	(/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) z))
✓	accuracy	100.0%	(*.f64 z y)
✓	accuracy	98.9%	(/.f64 #s(literal 1 binary64) (*.f64 z y))
✓	accuracy	94.6%	(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 z y)))
✓	accuracy	100.0%	(*.f64 z y)
✓	accuracy	94.7%	(.f64 x (.f64 z y))
✓	accuracy	100.0%	(-.f64 x (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 x z)))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(*.f64 x z)
✓	accuracy	97.6%	(.f64 (-.f64 #s(literal 1 binary64) y) (.f64 x z))

Results

107.0ms

256×

valid

Compiler

Compiled 123 to 22 computations (82.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 71.0ms

ival-mult: 49.0ms (69.1% of total)

ival-div: 16.0ms (22.6% of total)

ival-sub: 3.0ms (4.2% of total)

ival-add: 2.0ms (2.8% of total)

const: 0.0ms (0% of total)

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

series21.0ms (0.2%)

Counts

15 → 396

Calls

Call 1

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

Calls

99 calls:

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

rewrite328.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

4566×	`-lowering-.f32`
4566×	`-lowering-.f64`
2648×	`/-lowering-/.f32`
2648×	`/-lowering-/.f64`
1800×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	84
1	144	82
2	1123	77
0	8798	77

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 863

Calls

Call 1

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

simplify213.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1832×	`fmsub-define`
1716×	`fma-lowering-fma.f32`
1716×	`fma-lowering-fma.f64`
1686×	`-lowering-.f32`
1686×	`-lowering-.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	167	2466
1	559	2312
2	1743	2067
3	4756	2051
0	8218	2051

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 396

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

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

eval178.0ms (1.8%)

Compiler: Compiled 24120 to 2284 computations (90.5% saved)

prune154.0ms (1.6%)

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	1365	8	1373
Fresh	2	1	3
Picked	3	2	5
Done	1	2	3
Total	1371	13	1384

Accuracy

100.0%

Counts

1384 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	37.8%	(/.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) x))
	59.0%	(/.f64 z (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64)))))
▶	37.9%	(/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) z))
▶	28.7%	(/.f64 x (/.f64 #s(literal -1 binary64) z))
▶	98.6%	(-.f64 x (/.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))))
▶	77.0%	(-.f64 x (-.f64 #s(literal 0 binary64) (.f64 x (.f64 z y))))
✓	98.6%	(-.f64 x (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 x z)))
	59.3%	(.f64 (+.f64 y #s(literal -1 binary64)) (.f64 x z))
	38.7%	(.f64 (.f64 y x) z)
▶	40.8%	(.f64 (.f64 x z) y)
✓	67.7%	(*.f64 x (-.f64 #s(literal 1 binary64) z))
✓	37.9%	(.f64 x (.f64 z y))
✓	42.1%	x

Compiler

Compiled 216 to 148 computations (31.5% saved)

simplify130.0ms (1.3%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Rules

2434×	`fnmadd-define`
2286×	`fmsub-define`
2196×	`fnmsub-define`
1912×	`fmm-def`
1884×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	21	95
1	51	92
2	129	89
3	482	87
4	2267	87
5	5299	87
0	8206	87

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(- x (/ (* x z) (/ 1 (- 1 y))))
x
(/ (* x z) (/ 1 (- 1 y)))
(* x z)
z
(/ 1 (- 1 y))
1
(- 1 y)
y
(* (* x z) y)
(* x z)
x
z
y
(/ x (/ -1 z))
x
(/ -1 z)
-1
z
(/ x (/ (/ 1 y) z))
x
(/ (/ 1 y) z)
(/ 1 y)
1
y
z
(- x (- 0 (* x (* z y))))
x
(- 0 (* x (* z y)))
0
(* x (* z y))
(* z y)
z
y

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

localize89.0ms (0.9%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) (.f64 x (.f64 z y)))
✓	accuracy	100.0%	(*.f64 z y)
✓	accuracy	100.0%	(-.f64 x (-.f64 #s(literal 0 binary64) (.f64 x (.f64 z y))))
✓	accuracy	94.7%	(.f64 x (.f64 z y))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) y) z)
✓	accuracy	94.6%	(/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) z))
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) z)
✓	accuracy	99.7%	(/.f64 x (/.f64 #s(literal -1 binary64) z))
✓	accuracy	100.0%	(*.f64 x z)
✓	accuracy	93.9%	(.f64 (.f64 x z) y)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(*.f64 x z)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))
✓	accuracy	97.6%	(/.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))

Results

64.0ms

256×

valid

Compiler

Compiled 108 to 22 computations (79.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-div: 12.0ms (42.4% of total)

ival-mult: 10.0ms (35.3% of total)

ival-sub: 5.0ms (17.7% of total)

const: 1.0ms (3.5% of total)

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

series39.0ms (0.4%)

Counts

15 → 396

Calls

Call 1

Inputs
#<alt (- x (/ (* x z) (/ 1 (- 1 y))))>
#<alt (/ (* x z) (/ 1 (- 1 y)))>
#<alt (* x z)>
#<alt (/ 1 (- 1 y))>
#<alt (* (* x z) y)>
#<alt (/ x (/ -1 z))>
#<alt (/ -1 z)>
#<alt (/ x (/ (/ 1 y) z))>
#<alt (/ (/ 1 y) z)>
#<alt (/ 1 y)>
#<alt (- x (- 0 (* x (* z y))))>
#<alt (- 0 (* x (* z y)))>
#<alt (* x (* z y))>
#<alt (* z y)>
#<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 (* -1 (* z (- 1 y)))))>
#<alt (* x (+ 1 (* -1 (* z (- 1 y)))))>
#<alt (* x (+ 1 (* -1 (* z (- 1 y)))))>
#<alt (* x (+ 1 (* -1 (* z (- 1 y)))))>
#<alt x>
#<alt (+ x (* -1 (* x (* z (- 1 y)))))>
#<alt (+ x (* -1 (* x (* z (- 1 y)))))>
#<alt (+ x (* -1 (* x (* z (- 1 y)))))>
#<alt (* -1 (* x (* z (- 1 y))))>
#<alt (* z (- (/ x z) (* x (- 1 y))))>
#<alt (* z (- (/ x z) (* x (- 1 y))))>
#<alt (* z (- (/ x z) (* x (- 1 y))))>
#<alt (* -1 (* x (* z (- 1 y))))>
#<alt (* -1 (* z (- (* -1 (/ x z)) (* -1 (* x (- 1 y))))))>
#<alt (* -1 (* z (- (* -1 (/ x z)) (* -1 (* x (- 1 y))))))>
#<alt (* -1 (* z (- (* -1 (/ x z)) (* -1 (* x (- 1 y))))))>
#<alt (- x (* x z))>
#<alt (- (+ x (* x (* y z))) (* x z))>
#<alt (- (+ x (* x (* y z))) (* x z))>
#<alt (- (+ x (* x (* y z))) (* x z))>
#<alt (* x (* y z))>
#<alt (* y (- (/ x y) (+ (* -1 (* x z)) (/ (* x z) y))))>
#<alt (* y (- (/ x y) (+ (* -1 (* x z)) (/ (* x z) y))))>
#<alt (* y (- (/ x y) (+ (* -1 (* x z)) (/ (* x z) y))))>
#<alt (* x (* y z))>
#<alt (* -1 (* y (- (* -1 (/ (- x (* x z)) y)) (* x z))))>
#<alt (* -1 (* y (- (* -1 (/ (- x (* x z)) y)) (* x z))))>
#<alt (* -1 (* y (- (* -1 (/ (- x (* x z)) y)) (* x z))))>
#<alt (* x (* z (- 1 y)))>
#<alt (* x (* z (- 1 y)))>
#<alt (* x (* z (- 1 y)))>
#<alt (* x (* z (- 1 y)))>
#<alt (* x (* z (- 1 y)))>
#<alt (* x (* z (- 1 y)))>
#<alt (* x (* z (- 1 y)))>
#<alt (* x (* z (- 1 y)))>
#<alt (* x (* z (- 1 y)))>
#<alt (* x (* z (- 1 y)))>
#<alt (* x (* z (- 1 y)))>
#<alt (* x (* z (- 1 y)))>
#<alt (* x (* z (- 1 y)))>
#<alt (* x (* z (- 1 y)))>
#<alt (* x (* z (- 1 y)))>
#<alt (* x (* z (- 1 y)))>
#<alt (* x (* z (- 1 y)))>
#<alt (* x (* z (- 1 y)))>
#<alt (* x (* z (- 1 y)))>
#<alt (* x (* z (- 1 y)))>
#<alt (* x (* z (- 1 y)))>
#<alt (* x (* z (- 1 y)))>
#<alt (* x (* z (- 1 y)))>
#<alt (* x (* z (- 1 y)))>
#<alt (* x z)>
#<alt (+ (* -1 (* x (* y z))) (* x z))>
#<alt (+ (* -1 (* x (* y z))) (* x z))>
#<alt (+ (* -1 (* x (* y z))) (* x z))>
#<alt (* -1 (* x (* y z)))>
#<alt (* y (+ (* -1 (* x z)) (/ (* x z) y)))>
#<alt (* y (+ (* -1 (* x z)) (/ (* x z) y)))>
#<alt (* y (+ (* -1 (* x z)) (/ (* x z) y)))>
#<alt (* -1 (* x (* y z)))>
#<alt (* -1 (* y (+ (* -1 (/ (* x z) y)) (* x z))))>
#<alt (* -1 (* y (+ (* -1 (/ (* x z) y)) (* x z))))>
#<alt (* -1 (* y (+ (* -1 (/ (* x z) y)) (* x z))))>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt 1>
#<alt (+ 1 y)>
#<alt (+ 1 (* y (+ 1 y)))>
#<alt (+ 1 (* y (+ 1 (* y (+ 1 y)))))>
#<alt (/ -1 y)>
#<alt (* -1 (/ (+ 1 (/ 1 y)) y))>
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y)>
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 y)) (pow y 2))) (+ 1 (/ 1 y))) y)>
#<alt (/ -1 y)>
#<alt (* -1 (/ (+ 1 (/ 1 y)) y))>
#<alt (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y))) 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 (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (/ -1 z)>
#<alt (/ -1 z)>
#<alt (/ -1 z)>
#<alt (/ -1 z)>
#<alt (/ -1 z)>
#<alt (/ -1 z)>
#<alt (/ -1 z)>
#<alt (/ -1 z)>
#<alt (/ -1 z)>
#<alt (/ -1 z)>
#<alt (/ -1 z)>
#<alt (/ -1 z)>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* 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 (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (* x (+ 1 (* y z)))>
#<alt (* x (+ 1 (* y z)))>
#<alt (* x (+ 1 (* y z)))>
#<alt (* x (+ 1 (* y z)))>
#<alt (* x (+ 1 (* y z)))>
#<alt (* x (+ 1 (* y z)))>
#<alt (* x (+ 1 (* y z)))>
#<alt (* x (+ 1 (* y z)))>
#<alt (* -1 (* x (- (* -1 (* y z)) 1)))>
#<alt (* -1 (* x (- (* -1 (* y z)) 1)))>
#<alt (* -1 (* x (- (* -1 (* y z)) 1)))>
#<alt (* -1 (* x (- (* -1 (* y z)) 1)))>
#<alt x>
#<alt (+ x (* x (* y z)))>
#<alt (+ x (* x (* y z)))>
#<alt (+ x (* x (* y z)))>
#<alt (* x (* y z))>
#<alt (* z (+ (* x y) (/ x z)))>
#<alt (* z (+ (* x y) (/ x z)))>
#<alt (* z (+ (* x y) (/ x z)))>
#<alt (* x (* y z))>
#<alt (* -1 (* z (+ (* -1 (* x y)) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 (* x y)) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 (* x y)) (* -1 (/ x z)))))>
#<alt x>
#<alt (+ x (* x (* y z)))>
#<alt (+ x (* x (* y z)))>
#<alt (+ x (* x (* y z)))>
#<alt (* x (* y z))>
#<alt (* y (+ (* x z) (/ x y)))>
#<alt (* y (+ (* x z) (/ x y)))>
#<alt (* y (+ (* x z) (/ x y)))>
#<alt (* x (* y z))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ x y)))))>
#<alt (* -1 (* x (* y z)))>
#<alt (* -1 (* x (* y z)))>
#<alt (* -1 (* x (* y z)))>
#<alt (* -1 (* x (* y z)))>
#<alt (* -1 (* x (* y z)))>
#<alt (* -1 (* x (* y z)))>
#<alt (* -1 (* x (* y z)))>
#<alt (* -1 (* x (* y z)))>
#<alt (* -1 (* x (* y z)))>
#<alt (* -1 (* x (* y z)))>
#<alt (* -1 (* x (* y z)))>
#<alt (* -1 (* x (* y z)))>
#<alt (* -1 (* x (* y z)))>
#<alt (* -1 (* x (* y z)))>
#<alt (* -1 (* x (* y z)))>
#<alt (* -1 (* x (* y z)))>
#<alt (* -1 (* x (* y z)))>
#<alt (* -1 (* x (* y z)))>
#<alt (* -1 (* x (* y z)))>
#<alt (* -1 (* x (* y z)))>
#<alt (* -1 (* x (* y z)))>
#<alt (* -1 (* x (* y z)))>
#<alt (* -1 (* x (* y z)))>
#<alt (* -1 (* x (* y z)))>
#<alt (* -1 (* x (* y z)))>
#<alt (* -1 (* x (* y z)))>
#<alt (* -1 (* x (* y z)))>
#<alt (* -1 (* x (* y z)))>
#<alt (* -1 (* x (* y z)))>
#<alt (* -1 (* x (* y z)))>
#<alt (* -1 (* x (* y z)))>
#<alt (* -1 (* x (* y z)))>
#<alt (* -1 (* x (* y z)))>
#<alt (* -1 (* x (* y z)))>
#<alt (* -1 (* x (* y z)))>
#<alt (* -1 (* x (* y z)))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt 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

99 calls:

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

rewrite425.0ms (4.3%)

Algorithm

1×	batch-egg-rewrite

Rules

4170×	`/-lowering-/.f32`
4170×	`/-lowering-/.f64`
4116×	`-lowering-.f32`
4116×	`-lowering-.f64`
1454×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	73
1	141	69
2	1156	67
0	8816	67

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 2033

Calls

Call 1

Inputs
(- x (/ (* x z) (/ 1 (- 1 y))))
(/ (* x z) (/ 1 (- 1 y)))
(* x z)
(/ 1 (- 1 y))
(* (* x z) y)
(/ x (/ -1 z))
(/ -1 z)
(/ x (/ (/ 1 y) z))
(/ (/ 1 y) z)
(/ 1 y)
(- x (- 0 (* x (* z y))))
(- 0 (* x (* z y)))
(* x (* z y))
(* z y)
(- 1 y)

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

simplify306.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

2300×	`-lowering-.f32`
2300×	`-lowering-.f64`
1736×	`fnmsub-define`
1378×	`--lowering--.f32`
1378×	`--lowering--.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	103	2060
1	354	1995
2	1077	1920
3	3269	1918
4	7510	1918
0	8062	1918

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 396

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

eval504.0ms (5.1%)

Compiler: Compiled 45737 to 3665 computations (92% saved)

prune277.0ms (2.8%)

Pruning

13 alts after pruning (6 fresh and 7 done)

	Pruned	Kept	Total
New	2473	3	2476
Fresh	1	3	4
Picked	2	3	5
Done	0	4	4
Total	2476	13	2489

Accuracy

100.0%

Counts

2489 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	59.0%	(/.f64 z (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64)))))
✓	37.9%	(/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) z))
✓	28.7%	(/.f64 x (/.f64 #s(literal -1 binary64) z))
	79.6%	(-.f64 x (/.f64 (*.f64 x z) (/.f64 #s(literal -1 binary64) y)))
✓	98.6%	(-.f64 x (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 x z)))
	77.0%	(+.f64 (.f64 x (.f64 z y)) x)
	59.3%	(.f64 (+.f64 y #s(literal -1 binary64)) (.f64 x z))
	38.7%	(.f64 (.f64 y x) z)
✓	40.8%	(.f64 (.f64 x z) y)
✓	67.7%	(*.f64 x (-.f64 #s(literal 1 binary64) z))
✓	37.9%	(.f64 x (.f64 z y))
	28.7%	(neg.f64 (*.f64 x z))
✓	42.1%	x

Compiler

Compiled 403 to 167 computations (58.6% saved)

regimes66.0ms (0.7%)

Counts

30 → 1

Calls

Call 1

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

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

Calls

7 calls:

11.0ms	x
10.0ms	z
9.0ms	(-.f64 #s(literal 1 binary64) y)
9.0ms	y
9.0ms	(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))

Results

Accuracy	Segments	Branch
98.6%	1	`x`
98.6%	1	`y`
98.6%	1	`z`
98.6%	1	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))`
98.6%	1	`(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))`
98.6%	1	`(*.f64 (-.f64 #s(literal 1 binary64) y) z)`
98.6%	1	`(-.f64 #s(literal 1 binary64) y)`

Compiler

Compiled 48 to 35 computations (27.1% saved)

regimes41.0ms (0.4%)

Counts

17 → 2

Calls

Call 1

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

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

Calls

7 calls:

7.0ms	y
6.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))
6.0ms	x
6.0ms	z
5.0ms	(*.f64 (-.f64 #s(literal 1 binary64) y) z)

Results

Accuracy	Segments	Branch
97.7%	1	`y`
99.9%	2	`x`
97.7%	1	`z`
97.7%	1	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))`
97.7%	1	`(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))`
97.7%	1	`(*.f64 (-.f64 #s(literal 1 binary64) y) z)`
97.7%	1	`(-.f64 #s(literal 1 binary64) y)`

Compiler

Compiled 48 to 35 computations (27.1% saved)

regimes58.0ms (0.6%)

Counts

15 → 1

Calls

Call 1

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

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

Calls

7 calls:

7.0ms	(*.f64 (-.f64 #s(literal 1 binary64) y) z)
5.0ms	x
5.0ms	z
5.0ms	y
5.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))

Results

Accuracy	Segments	Branch
97.7%	1	`y`
97.7%	1	`z`
97.7%	1	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))`
97.7%	1	`(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))`
97.7%	1	`(*.f64 (-.f64 #s(literal 1 binary64) y) z)`
97.7%	1	`(-.f64 #s(literal 1 binary64) y)`
97.7%	1	`x`

Compiler

Compiled 48 to 35 computations (27.1% saved)

regimes37.0ms (0.4%)

Counts

14 → 1

Calls

Call 1

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

Calls

7 calls:

8.0ms	z
5.0ms	x
5.0ms	y
5.0ms	(*.f64 (-.f64 #s(literal 1 binary64) y) z)
5.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))

Results

Accuracy	Segments	Branch
97.7%	1	`x`
97.7%	1	`y`
97.7%	1	`z`
97.7%	1	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))`
97.7%	1	`(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))`
97.7%	1	`(*.f64 (-.f64 #s(literal 1 binary64) y) z)`
97.7%	1	`(-.f64 #s(literal 1 binary64) y)`

Compiler

Compiled 48 to 35 computations (27.1% saved)

regimes16.0ms (0.2%)

Counts

13 → 3

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	y
5.0ms	x
4.0ms	z

Results

Accuracy	Segments	Branch
77.0%	1	`x`
96.5%	3	`y`
99.1%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes7.0ms (0.1%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	z
3.0ms	y

Results

Accuracy	Segments	Branch
89.7%	3	`y`
88.2%	3	`z`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes6.0ms (0.1%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	y
2.0ms	z

Results

Accuracy	Segments	Branch
71.3%	2	`z`
87.8%	3	`y`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes6.0ms (0.1%)

Counts

3 → 5

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	x
2.0ms	z
2.0ms	y

Results

Accuracy	Segments	Branch
73.4%	5	`z`
48.2%	3	`x`
66.9%	3	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes3.0ms (0%)

Counts

2 → 3

Calls

Call 1

Inputs
x
(neg.f64 (*.f64 x z))

Outputs
(neg.f64 (*.f64 x z))
x
(neg.f64 (*.f64 x z))

Calls

2 calls:

2.0ms	y
2.0ms	z

Results

Accuracy	Segments	Branch
44.2%	2	`y`
66.8%	3	`z`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes4.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

3 calls:

1.0ms	z
1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
42.1%	1	`y`
42.1%	1	`x`
42.1%	1	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch6.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
5.0ms	1.1747693428223296e-51	1.9240626126756075e-50

Results

4.0ms

32×

valid

Compiler

Compiled 70 to 49 computations (30% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

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)

bsearch29.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.0007131809020097188	0.28111218540323163
14.0ms	-1143713789.8617055	-0.010746332246881164

Results

18.0ms

288×

valid

Compiler

Compiled 414 to 283 computations (31.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 4.0ms (54.4% of total)

ival-sub: 3.0ms (40.8% of total)

const: 0.0ms (0% of total)

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

bsearch60.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
47.0ms	1.2959738322900327e+34	3.373963791534345e+40
11.0ms	-400107242648059140.0	-13310077376775.28

Results

15.0ms

272×

valid

Compiler

Compiled 324 to 234 computations (27.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 4.0ms (55.6% of total)

ival-sub: 3.0ms (41.7% of total)

const: 0.0ms (0% of total)

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

bsearch26.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	1.2959738322900327e+34	3.373963791534345e+40
11.0ms	-400107242648059140.0	-13310077376775.28

Results

15.0ms

272×

valid

Compiler

Compiled 324 to 234 computations (27.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 4.0ms (57.1% of total)

ival-sub: 3.0ms (42.8% of total)

const: 0.0ms (0% of total)

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

bsearch61.0ms (0.6%)

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
32.0ms	2.1430503714345838e+99	8.84767637141636e+107
11.0ms	1.4129563382787813e-101	4.7649488902012116e-98
3.0ms	-0.010746332246881164	-0.009725650600402943
12.0ms	-7.76885948279107e+96	-5.045481366295598e+94

Results

34.0ms

416×

valid

Compiler

Compiled 428 to 305 computations (28.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 16.0ms (74.5% of total)

ival-sub: 5.0ms (23.3% of total)

const: 0.0ms (0% of total)

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

bsearch18.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	5.952361734214025e+19	2.1566886878106363e+24
3.0ms	-0.010746332246881164	-0.009725650600402943

Results

11.0ms

160×

valid

Compiler

Compiled 148 to 113 computations (23.6% saved)

Precisions

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

ival-mult: 4.0ms (62.1% of total)

ival-sub: 2.0ms (31.1% of total)

const: 0.0ms (0% of total)

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

simplify41.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

268×	`distribute-lft-neg-in_binary64`
196×	`unsub-neg_binary64`
132×	`neg-mul-1_binary64`
118×	`distribute-neg-in_binary64`
114×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	164
1	119	164
2	176	164
3	217	164
4	278	164
5	346	164
6	443	164
7	537	164
8	601	164
9	648	164
10	705	164
11	771	164
12	822	164
13	840	164
14	843	164

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 x (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 x z)))
(if (<=.f64 x #s(literal 8424983333484575/1684996666696914987166688442938726917102321526408785780068975640576 binary64)) (-.f64 x (.f64 (.f64 x (-.f64 #s(literal 1 binary64) y)) z)) (.f64 x (-.f64 #s(literal 1 binary64) (-.f64 z (.f64 z y)))))
(.f64 x (-.f64 #s(literal 1 binary64) (-.f64 z (.f64 z y))))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) y) z)))
(if (<=.f64 z #s(literal -4728779608739021/4503599627370496 binary64)) (.f64 (+.f64 y #s(literal -1 binary64)) (.f64 x z)) (if (<=.f64 z #s(literal 1261007895663739/4503599627370496 binary64)) (+.f64 (.f64 x (.f64 z y)) x) (.f64 (+.f64 y #s(literal -1 binary64)) (.f64 x z))))
(if (<=.f64 y #s(literal -30000000000000000 binary64)) (.f64 x (.f64 z y)) (if (<=.f64 y #s(literal 1060000000000000047917354668252567961600 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) z)) (.f64 (*.f64 x z) y)))
(if (<=.f64 y #s(literal -110000000000000000 binary64)) (.f64 x (.f64 z y)) (if (<=.f64 y #s(literal 30000000000000002158062836758597337088 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) z)) (.f64 x (*.f64 z y))))
(if (<=.f64 z #s(literal -125000000000000006232706746488611627126283560679807768946861616326498549887413226923057376919552 binary64)) (.f64 x (.f64 z y)) (if (<=.f64 z #s(literal -6052837899185947/576460752303423488 binary64)) (neg.f64 (.f64 x z)) (if (<=.f64 z #s(literal 6926133901709967/153914086704665934422965000391185991426092731525255651046673021110334850669910978950836977558144201721900890587136 binary64)) x (if (<=.f64 z #s(literal 66000000000000002215192148579592033642858480616150201158000865312419448647411960844711473029780078592 binary64)) (.f64 x (.f64 z y)) (neg.f64 (.f64 x z))))))
(if (<=.f64 z #s(literal -6052837899185947/576460752303423488 binary64)) (neg.f64 (.f64 x z)) (if (<=.f64 z #s(literal 60000000000000000000 binary64)) x (neg.f64 (.f64 x z))))
x

Outputs
(-.f64 x (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 x z)))
(+.f64 x (.f64 (.f64 x z) (+.f64 y #s(literal -1 binary64))))
(if (<=.f64 x #s(literal 8424983333484575/1684996666696914987166688442938726917102321526408785780068975640576 binary64)) (-.f64 x (.f64 (.f64 x (-.f64 #s(literal 1 binary64) y)) z)) (.f64 x (-.f64 #s(literal 1 binary64) (-.f64 z (.f64 z y)))))
(if (<=.f64 x #s(literal 8424983333484575/1684996666696914987166688442938726917102321526408785780068975640576 binary64)) (+.f64 x (.f64 z (.f64 x (+.f64 y #s(literal -1 binary64))))) (.f64 x (+.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) z))))
(.f64 x (-.f64 #s(literal 1 binary64) (-.f64 z (.f64 z y))))
(.f64 x (+.f64 #s(literal 1 binary64) (-.f64 (.f64 y z) 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 y #s(literal -1 binary64)))))
(if (<=.f64 z #s(literal -4728779608739021/4503599627370496 binary64)) (.f64 (+.f64 y #s(literal -1 binary64)) (.f64 x z)) (if (<=.f64 z #s(literal 1261007895663739/4503599627370496 binary64)) (+.f64 (.f64 x (.f64 z y)) x) (.f64 (+.f64 y #s(literal -1 binary64)) (.f64 x z))))
(if (<=.f64 z #s(literal -4728779608739021/4503599627370496 binary64)) (.f64 (.f64 x z) (+.f64 y #s(literal -1 binary64))) (if (<=.f64 z #s(literal 1261007895663739/4503599627370496 binary64)) (+.f64 x (.f64 x (.f64 y z))) (.f64 (.f64 x z) (+.f64 y #s(literal -1 binary64)))))
(if (<=.f64 y #s(literal -30000000000000000 binary64)) (.f64 x (.f64 z y)) (if (<=.f64 y #s(literal 1060000000000000047917354668252567961600 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) z)) (.f64 (*.f64 x z) y)))
(if (<=.f64 y #s(literal -30000000000000000 binary64)) (.f64 x (.f64 y z)) (if (<=.f64 y #s(literal 1060000000000000047917354668252567961600 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) z)) (.f64 y (*.f64 x z))))
(if (<=.f64 y #s(literal -110000000000000000 binary64)) (.f64 x (.f64 z y)) (if (<=.f64 y #s(literal 30000000000000002158062836758597337088 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) z)) (.f64 x (*.f64 z y))))
(if (<=.f64 y #s(literal -110000000000000000 binary64)) (.f64 x (.f64 y z)) (if (<=.f64 y #s(literal 30000000000000002158062836758597337088 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) z)) (.f64 x (*.f64 y z))))
(if (<=.f64 z #s(literal -125000000000000006232706746488611627126283560679807768946861616326498549887413226923057376919552 binary64)) (.f64 x (.f64 z y)) (if (<=.f64 z #s(literal -6052837899185947/576460752303423488 binary64)) (neg.f64 (.f64 x z)) (if (<=.f64 z #s(literal 6926133901709967/153914086704665934422965000391185991426092731525255651046673021110334850669910978950836977558144201721900890587136 binary64)) x (if (<=.f64 z #s(literal 66000000000000002215192148579592033642858480616150201158000865312419448647411960844711473029780078592 binary64)) (.f64 x (.f64 z y)) (neg.f64 (.f64 x z))))))
(if (<=.f64 z #s(literal -125000000000000006232706746488611627126283560679807768946861616326498549887413226923057376919552 binary64)) (.f64 x (.f64 y z)) (if (<=.f64 z #s(literal -6052837899185947/576460752303423488 binary64)) (.f64 x (-.f64 #s(literal 0 binary64) z)) (if (<=.f64 z #s(literal 6926133901709967/153914086704665934422965000391185991426092731525255651046673021110334850669910978950836977558144201721900890587136 binary64)) x (if (<=.f64 z #s(literal 66000000000000002215192148579592033642858480616150201158000865312419448647411960844711473029780078592 binary64)) (.f64 x (.f64 y z)) (.f64 x (-.f64 #s(literal 0 binary64) z))))))
(if (<=.f64 z #s(literal -6052837899185947/576460752303423488 binary64)) (neg.f64 (.f64 x z)) (if (<=.f64 z #s(literal 60000000000000000000 binary64)) x (neg.f64 (.f64 x z))))
(if (<=.f64 z #s(literal -6052837899185947/576460752303423488 binary64)) (.f64 x (-.f64 #s(literal 0 binary64) z)) (if (<=.f64 z #s(literal 60000000000000000000 binary64)) x (.f64 x (-.f64 #s(literal 0 binary64) z))))
x

soundness2.6s (26.1%)

Rules

4566×	`-lowering-.f32`
4566×	`-lowering-.f64`
4232×	`-lowering-.f32`
4232×	`-lowering-.f64`
4170×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	167	2466
1	559	2312
2	1743	2067
3	4756	2051
0	8218	2051
0	8	24
1	42	24
2	328	22
3	3895	20
0	8105	20
0	74	613
1	245	519
2	711	489
3	1876	488
4	6536	488
0	8083	488
0	21	73
1	141	69
2	1156	67
0	8816	67
0	21	84
1	144	82
2	1123	77
0	8798	77
0	283	2816
1	945	2382
2	2965	2293
0	8413	2293
0	17	80
1	129	80
2	1138	68
0	8466	68

Stop Event

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

Compiler

Compiled 488 to 271 computations (44.5% saved)

preprocess149.0ms (1.5%)

Compiler: Compiled 708 to 318 computations (55.1% saved)

Iter	Nodes	Cost
0	64	164
1	119	164
2	176	164
3	217	164
4	278	164
5	346	164
6	443	164
7	537	164
8	601	164
9	648	164
10	705	164
11	771	164
12	822	164
13	840	164
14	843	164

Iter	Nodes	Cost
0	64	164
1	119	164
2	176	164
3	217	164
4	278	164
5	346	164
6	443	164
7	537	164
8	601	164
9	648	164
10	705	164
11	771	164
12	822	164
13	840	164
14	843	164

analyze0.0ms (0%)

sample933.0ms (9.5%)

preprocess232.0ms (2.4%)

explain80.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify161.0ms (1.6%)

localize215.0ms (2.2%)

series7.0ms (0.1%)

rewrite266.0ms (2.7%)

simplify166.0ms (1.7%)

eval34.0ms (0.3%)

prune39.0ms (0.4%)

simplify176.0ms (1.8%)

localize104.0ms (1.1%)

series19.0ms (0.2%)

rewrite449.0ms (4.6%)

simplify386.0ms (3.9%)

eval173.0ms (1.8%)

prune246.0ms (2.5%)

simplify145.0ms (1.5%)

localize150.0ms (1.5%)

series21.0ms (0.2%)

rewrite328.0ms (3.3%)

simplify213.0ms (2.2%)

eval178.0ms (1.8%)

prune154.0ms (1.6%)

simplify130.0ms (1.3%)

localize89.0ms (0.9%)

series39.0ms (0.4%)

rewrite425.0ms (4.3%)

simplify306.0ms (3.1%)

eval504.0ms (5.1%)

prune277.0ms (2.8%)

regimes66.0ms (0.7%)

regimes41.0ms (0.4%)

regimes58.0ms (0.6%)

regimes37.0ms (0.4%)

regimes16.0ms (0.2%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

regimes6.0ms (0.1%)

regimes3.0ms (0%)

regimes4.0ms (0%)

bsearch6.0ms (0.1%)

bsearch29.0ms (0.3%)

bsearch60.0ms (0.6%)

bsearch26.0ms (0.3%)

bsearch61.0ms (0.6%)

bsearch18.0ms (0.2%)

simplify41.0ms (0.4%)

soundness2.6s (26.1%)

preprocess149.0ms (1.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	64	164
1	119	164
2	176	164
3	217	164
4	278	164
5	346	164
6	443	164
7	537	164
8	601	164
9	648	164
10	705	164
11	771	164
12	822	164
13	840	164
14	843	164