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

Time bar (total: 8.0s)

analyze0.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
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)

sample952.0ms (11.8%)

Results
719.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 363.0ms
ival-mult: 194.0ms (53.4% of total)
ival-sub: 156.0ms (43% of total)
const: 10.0ms (2.8% of total)
backward-pass: 3.0ms (0.8% of total)
Bogosity

preprocess313.0ms (3.9%)

Algorithm
egg-herbie
Rules
2568×fnmadd-define
1960×sum3-define
1858×sum4-define
1420×fma-define
1364×fmsub-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
03397
110691
228683
3131673
4488370
5764070
089
1199
2488
31637
45327
514907
632827
756927
878717
978717
1079557
079557
Stop Event
iter limit
saturated
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)

explain106.0ms (1.3%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
90-0-(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
00-0-x
00-0-(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
00-0-z
00-0-#s(literal 1 binary64)
00-0-y
00-0-(*.f64 (-.f64 #s(literal 1 binary64) y) z)
00-0-(-.f64 #s(literal 1 binary64) y)
Results
60.0ms512×0valid
Compiler

Compiled 76 to 26 computations (65.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-sub: 15.0ms (64.6% of total)
ival-mult: 8.0ms (34.5% of total)
const: 1.0ms (4.3% 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
StatusAccuracyProgram
96.6%
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify339.0ms (4.2%)

Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 #s(literal 1 binary64) y)
cost-diff0
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
cost-diff0
(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
cost-diff0
(*.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)

IterNodesCost
0828
11928
24826
316324
453224
5149024
6328224
7569224
8787124
9787124
10795524
0795524
Stop Event
iter limit
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

localize43.0ms (0.5%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 #s(literal 1 binary64) y)
accuracy100.0%
(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
accuracy100.0%
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
accuracy96.6%
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
Results
34.0ms256×0valid
Compiler

Compiled 32 to 9 computations (71.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-sub: 12.0ms (75.4% of total)
ival-mult: 4.0ms (25.1% 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:

TimeVariablePointExpression
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)))
1.0ms
x
@inf
(* x (- 1 (* (- 1 y) z)))

rewrite385.0ms (4.8%)

Algorithm
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)

IterNodesCost
0824
14224
233022
3390520
0819120
Stop Event
iter limit
node limit
Counts
4 → 209
Calls
Call 1
Inputs
(* x (- 1 (* (- 1 y) z)))
(- 1 (* (- 1 y) z))
(* (- 1 y) z)
(- 1 y)
Outputs
(+.f64 x (*.f64 x (*.f64 z (+.f64 y #s(literal -1 binary64)))))
(+.f64 (*.f64 x (*.f64 z (+.f64 y #s(literal -1 binary64)))) x)
(-.f64 x (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) x))
(-.f64 x (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
(fma.f64 x #s(literal 1 binary64) (*.f64 x (*.f64 z (+.f64 y #s(literal -1 binary64)))))
(fma.f64 #s(literal 1 binary64) x (*.f64 x (*.f64 z (+.f64 y #s(literal -1 binary64)))))
(/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) (*.f64 z (+.f64 y #s(literal -1 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) (*.f64 z (+.f64 y #s(literal -1 binary64))))))))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) (*.f64 z (+.f64 y #s(literal -1 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))))))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) (*.f64 z (+.f64 y #s(literal -1 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
(/.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) (*.f64 z (+.f64 y #s(literal -1 binary64)))))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))))))
(/.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) (*.f64 z (+.f64 y #s(literal -1 binary64))))))) (+.f64 (*.f64 z (+.f64 y #s(literal -1 binary64))) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 z (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x (*.f64 z (+.f64 y #s(literal -1 binary64)))) (*.f64 x (*.f64 z (+.f64 y #s(literal -1 binary64))))) (*.f64 x (*.f64 x (*.f64 z (+.f64 y #s(literal -1 binary64))))))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 z (+.f64 y #s(literal -1 binary64)))) (*.f64 x (*.f64 z (+.f64 y #s(literal -1 binary64)))))) (-.f64 x (*.f64 x (*.f64 z (+.f64 y #s(literal -1 binary64))))))
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) (*.f64 z (+.f64 y #s(literal -1 binary64)))))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))))))
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 z (*.f64 (-.f64 #s(literal 1 binary64) y) z))))) (+.f64 (*.f64 z (+.f64 y #s(literal -1 binary64))) #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) (*.f64 z (+.f64 y #s(literal -1 binary64))))))) x) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))))))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 z (*.f64 (-.f64 #s(literal 1 binary64) y) z)))) x) (+.f64 (*.f64 z (+.f64 y #s(literal -1 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) (*.f64 z (+.f64 y #s(literal -1 binary64)))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) (*.f64 z (+.f64 y #s(literal -1 binary64))))))) #s(literal -1 binary64))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) x)
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) (*.f64 z (+.f64 y #s(literal -1 binary64)))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))))) x))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) (*.f64 z (+.f64 y #s(literal -1 binary64)))))) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) (*.f64 z (+.f64 y #s(literal -1 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) x))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) (*.f64 z (+.f64 y #s(literal -1 binary64))))) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))))
(*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) (*.f64 z (+.f64 y #s(literal -1 binary64))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))))))
(*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) (*.f64 z (+.f64 y #s(literal -1 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))))
(*.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) (*.f64 z (+.f64 y #s(literal -1 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))) #s(literal 1 binary64)))))
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(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (+.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 y (+.f64 #s(literal 1 binary64) y)) (*.f64 y (+.f64 #s(literal 1 binary64) y)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (+.f64 #s(literal 1 binary64) y)) (-.f64 (*.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (+.f64 #s(literal 1 binary64) y)) (*.f64 y (+.f64 #s(literal 1 binary64) y))))) (-.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) y))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64)))))

simplify218.0ms (2.7%)

Algorithm
egg-herbie
Rules
2036×*-lowering-*.f32
2036×*-lowering-*.f64
1756×fnmadd-define
900×unsub-neg
882×/-lowering-/.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
074613
1245519
2711489
31876488
46536488
08087488
Stop Event
iter limit
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)

eval36.0ms (0.4%)

Compiler

Compiled 7676 to 873 computations (88.6% saved)

prune35.0ms (0.4%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New29510305
Fresh000
Picked011
Done000
Total29511306
Accuracy
96.7%
Counts
306 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.4%
(/.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))))))
51.8%
(/.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))))))
96.5%
(/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))))
96.6%
(-.f64 x (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) x))
66.3%
(*.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))))
96.6%
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))))
96.6%
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
63.7%
(*.f64 x (-.f64 #s(literal 1 binary64) z))
60.2%
(*.f64 x (*.f64 z (+.f64 y #s(literal -1 binary64))))
38.7%
(*.f64 x (*.f64 z y))
38.5%
x
Compiler

Compiled 348 to 190 computations (45.4% saved)

simplify145.0ms (1.8%)

Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
cost-diff0
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) (*.f64 z (+.f64 y #s(literal -1 binary64))))
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) (*.f64 z (+.f64 y #s(literal -1 binary64)))))
cost-diff0
(*.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))))
cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))
cost-diff128
(/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))
cost-diff128
(-.f64 #s(literal 1 binary64) (/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))))
cost-diff128
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))))
cost-diff0
(-.f64 #s(literal 1 binary64) z)
cost-diff0
(*.f64 x (-.f64 #s(literal 1 binary64) z))
cost-diff0
(-.f64 #s(literal 1 binary64) y)
cost-diff0
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
cost-diff0
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) x)
cost-diff0
(-.f64 x (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) x))
Rules
2108×*-lowering-*.f32
2108×*-lowering-*.f64
1496×sum4-define
1416×fnmadd-define
1056×+-lowering-+.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
022157
162151
2199145
3666134
42889134
08266134
Stop Event
iter limit
node limit
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 (/ 1 (- 1 y)))))
x
(- 1 (/ z (/ 1 (- 1 y))))
1
(/ z (/ 1 (- 1 y)))
z
(/ 1 (- 1 y))
(- 1 y)
y
(* (+ 1 (* (* (- 1 y) z) (* z (+ y -1)))) (/ x (+ 1 (* (- 1 y) z))))
(+ 1 (* (* (- 1 y) z) (* z (+ y -1))))
1
(* (* (- 1 y) z) (* z (+ y -1)))
(* (- 1 y) z)
(- 1 y)
y
z
(* z (+ y -1))
(+ y -1)
-1
(/ x (+ 1 (* (- 1 y) z)))
x
(+ 1 (* (- 1 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 x (*.f64 (-.f64 #s(literal 1 binary64) y) 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 (/ 1 (- 1 y)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y #s(literal -1 binary64)))))
x
(- 1 (/ z (/ 1 (- 1 y))))
(+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y #s(literal -1 binary64))))
1
#s(literal 1 binary64)
(/ z (/ 1 (- 1 y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
z
(/ 1 (- 1 y))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))
(- 1 y)
(-.f64 #s(literal 1 binary64) y)
y
(* (+ 1 (* (* (- 1 y) z) (* z (+ y -1)))) (/ x (+ 1 (* (- 1 y) z))))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 z (*.f64 z (+.f64 y #s(literal -1 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
(+ 1 (* (* (- 1 y) z) (* z (+ y -1))))
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 z (*.f64 z (+.f64 y #s(literal -1 binary64))))))
1
#s(literal 1 binary64)
(* (* (- 1 y) z) (* z (+ y -1)))
(*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 z (*.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
(* z (+ y -1))
(*.f64 z (+.f64 y #s(literal -1 binary64)))
(+ y -1)
(+.f64 y #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(/ x (+ 1 (* (- 1 y) z)))
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
x
(+ 1 (* (- 1 y) z))
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))

localize145.0ms (1.8%)

Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 z (+.f64 y #s(literal -1 binary64)))
accuracy99.8%
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) (*.f64 z (+.f64 y #s(literal -1 binary64))))
accuracy95.1%
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
accuracy72.3%
(*.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))))
accuracy100.0%
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))
accuracy100.0%
(-.f64 #s(literal 1 binary64) (/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))))
accuracy99.9%
(/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))
accuracy96.6%
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))))
accuracy100.0%
(-.f64 #s(literal 1 binary64) z)
accuracy100.0%
(*.f64 x (-.f64 #s(literal 1 binary64) z))
accuracy100.0%
(-.f64 x (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) x))
accuracy100.0%
(-.f64 #s(literal 1 binary64) y)
accuracy100.0%
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
accuracy96.6%
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) x)
Results
98.0ms256×0valid
Compiler

Compiled 167 to 23 computations (86.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-mult: 13.0ms (46% of total)
ival-sub: 5.0ms (17.7% of total)
ival-div: 5.0ms (17.7% of total)
ival-add: 4.0ms (14.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series33.0ms (0.4%)

Counts
15 → 384
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 (/ 1 (- 1 y)))))>
#<alt (- 1 (/ z (/ 1 (- 1 y))))>
#<alt (/ z (/ 1 (- 1 y)))>
#<alt (/ 1 (- 1 y))>
#<alt (* (+ 1 (* (* (- 1 y) z) (* z (+ y -1)))) (/ x (+ 1 (* (- 1 y) z))))>
#<alt (+ 1 (* (* (- 1 y) z) (* z (+ y -1))))>
#<alt (* (* (- 1 y) z) (* z (+ y -1)))>
#<alt (/ x (+ 1 (* (- 1 y) z)))>
#<alt (* z (+ y -1))>
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 (* 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>
#<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 (* 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 y)))>
#<alt (* z (+ (* -1 (- 1 y)) (/ 1 z)))>
#<alt (* z (+ (* -1 (- 1 y)) (/ 1 z)))>
#<alt (* 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 (- (/ 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 (* 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 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 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 (+ 1 (* -1 (pow z 2)))) (+ 1 z))>
#<alt (+ (* y (- (* 2 (/ (* x (pow z 2)) (+ 1 z))) (* -1 (/ (* x (* z (+ 1 (* -1 (pow z 2))))) (pow (+ 1 z) 2))))) (/ (* x (+ 1 (* -1 (pow z 2)))) (+ 1 z)))>
#<alt (+ (* y (- (+ (* 2 (/ (* x (pow z 2)) (+ 1 z))) (* y (- (* -1 (/ (* x (pow z 2)) (+ 1 z))) (* -1 (/ (* z (- (* 2 (/ (* x (pow z 2)) (+ 1 z))) (* -1 (/ (* x (* z (+ 1 (* -1 (pow z 2))))) (pow (+ 1 z) 2))))) (+ 1 z)))))) (* -1 (/ (* x (* z (+ 1 (* -1 (pow z 2))))) (pow (+ 1 z) 2))))) (/ (* x (+ 1 (* -1 (pow z 2)))) (+ 1 z)))>
#<alt (+ (* y (- (+ (* 2 (/ (* x (pow z 2)) (+ 1 z))) (* y (- (+ (* -1 (/ (* x (pow z 2)) (+ 1 z))) (/ (* y (* z (- (* -1 (/ (* x (pow z 2)) (+ 1 z))) (* -1 (/ (* z (- (* 2 (/ (* x (pow z 2)) (+ 1 z))) (* -1 (/ (* x (* z (+ 1 (* -1 (pow z 2))))) (pow (+ 1 z) 2))))) (+ 1 z)))))) (+ 1 z))) (* -1 (/ (* z (- (* 2 (/ (* x (pow z 2)) (+ 1 z))) (* -1 (/ (* x (* z (+ 1 (* -1 (pow z 2))))) (pow (+ 1 z) 2))))) (+ 1 z)))))) (* -1 (/ (* x (* z (+ 1 (* -1 (pow z 2))))) (pow (+ 1 z) 2))))) (/ (* x (+ 1 (* -1 (pow z 2)))) (+ 1 z)))>
#<alt (* x (* y z))>
#<alt (* y (- (+ (* -2 (/ (* x z) y)) (* x z)) (* -1 (/ (* x (+ 1 z)) y))))>
#<alt (* y (- (+ (* -2 (/ (* x z) y)) (+ (* -1 (/ (* x (+ 1 (* -1 (pow z 2)))) (* (pow y 2) z))) (* x z))) (+ (* -1 (/ (* x (+ 1 z)) y)) (* -1 (/ (* (+ 1 z) (- (* -2 (* x z)) (* -1 (* x (+ 1 z))))) (* (pow y 2) z))))))>
#<alt (* y (- (+ (* -2 (/ (* x z) y)) (+ (* -1 (/ (* x (+ 1 (* -1 (pow z 2)))) (* (pow y 2) z))) (+ (* x z) (/ (* (+ 1 z) (- (* -1 (/ (* x (+ 1 (* -1 (pow z 2)))) z)) (* -1 (/ (* (+ 1 z) (- (* -2 (* x z)) (* -1 (* x (+ 1 z))))) z)))) (* (pow y 3) z))))) (+ (* -1 (/ (* x (+ 1 z)) y)) (* -1 (/ (* (+ 1 z) (- (* -2 (* x z)) (* -1 (* x (+ 1 z))))) (* (pow y 2) z))))))>
#<alt (* x (* y z))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (- (* -2 (* x z)) (* -1 (* x (+ 1 z)))) y)))))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (- (+ (* -2 (* x z)) (* -1 (/ (- (/ (* x (+ 1 (* -1 (pow z 2)))) z) (/ (* (+ 1 z) (- (* -2 (* x z)) (* -1 (* x (+ 1 z))))) z)) y))) (* -1 (* x (+ 1 z)))) y)))))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (- (+ (* -2 (* x z)) (* -1 (/ (- (+ (/ (* x (+ 1 (* -1 (pow z 2)))) z) (/ (* (+ 1 z) (- (/ (* x (+ 1 (* -1 (pow z 2)))) z) (/ (* (+ 1 z) (- (* -2 (* x z)) (* -1 (* x (+ 1 z))))) z))) (* y z))) (/ (* (+ 1 z) (- (* -2 (* x z)) (* -1 (* x (+ 1 z))))) z)) y))) (* -1 (* x (+ 1 z)))) y)))))>
#<alt x>
#<alt (+ x (* -1 (* x (* z (- 1 y)))))>
#<alt (+ x (* z (- (* z (- (* x (* (- 1 y) (- y 1))) (* -1 (* x (pow (- 1 y) 2))))) (* x (- 1 y)))))>
#<alt (+ x (* z (- (* z (- (+ (* -1 (* z (* (- 1 y) (- (* x (* (- 1 y) (- y 1))) (* -1 (* x (pow (- 1 y) 2))))))) (* x (* (- 1 y) (- y 1)))) (* -1 (* x (pow (- 1 y) 2))))) (* x (- 1 y)))))>
#<alt (* x (* z (- y 1)))>
#<alt (* z (+ (* -1 (/ (* x (- y 1)) (* z (- 1 y)))) (* x (- y 1))))>
#<alt (* z (- (+ (* x (- y 1)) (/ x (* (pow z 2) (- 1 y)))) (+ (* -1 (/ (* x (- y 1)) (* (pow z 2) (pow (- 1 y) 2)))) (/ (* x (- y 1)) (* z (- 1 y))))))>
#<alt (* z (- (+ (* -1 (/ (* x (- y 1)) (* (pow z 3) (pow (- 1 y) 3)))) (+ (* x (- y 1)) (/ x (* (pow z 2) (- 1 y))))) (+ (* -1 (/ (* x (- y 1)) (* (pow z 2) (pow (- 1 y) 2)))) (+ (/ x (* (pow z 3) (pow (- 1 y) 2))) (/ (* x (- y 1)) (* z (- 1 y)))))))>
#<alt (* x (* z (- y 1)))>
#<alt (* -1 (* z (+ (* -1 (* x (- y 1))) (/ (* x (- y 1)) (* z (- 1 y))))))>
#<alt (* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ (- (* -1 (/ (- (* -1 (/ x (- 1 y))) (/ (* x (- y 1)) (pow (- 1 y) 2))) z)) (/ (* x (- y 1)) (- 1 y))) z)))))>
#<alt (* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ x (- 1 y))) (* -1 (/ (- (* -1 (/ x (- 1 y))) (/ (* x (- y 1)) (pow (- 1 y) 2))) (* z (- 1 y))))) (/ (* x (- y 1)) (pow (- 1 y) 2))) z)) (/ (* x (- y 1)) (- 1 y))) z)))))>
#<alt (/ (* x (+ 1 (* (pow z 2) (* (- 1 y) (- y 1))))) (+ 1 (* z (- 1 y))))>
#<alt (/ (* x (+ 1 (* (pow z 2) (* (- 1 y) (- y 1))))) (+ 1 (* z (- 1 y))))>
#<alt (/ (* x (+ 1 (* (pow z 2) (* (- 1 y) (- y 1))))) (+ 1 (* z (- 1 y))))>
#<alt (/ (* x (+ 1 (* (pow z 2) (* (- 1 y) (- y 1))))) (+ 1 (* z (- 1 y))))>
#<alt (/ (* x (+ 1 (* (pow z 2) (* (- 1 y) (- y 1))))) (+ 1 (* z (- 1 y))))>
#<alt (/ (* x (+ 1 (* (pow z 2) (* (- 1 y) (- y 1))))) (+ 1 (* z (- 1 y))))>
#<alt (/ (* x (+ 1 (* (pow z 2) (* (- 1 y) (- y 1))))) (+ 1 (* z (- 1 y))))>
#<alt (/ (* x (+ 1 (* (pow z 2) (* (- 1 y) (- y 1))))) (+ 1 (* z (- 1 y))))>
#<alt (/ (* x (+ 1 (* (pow z 2) (* (- 1 y) (- y 1))))) (+ 1 (* z (- 1 y))))>
#<alt (/ (* x (+ 1 (* (pow z 2) (* (- 1 y) (- y 1))))) (+ 1 (* z (- 1 y))))>
#<alt (/ (* x (+ 1 (* (pow z 2) (* (- 1 y) (- y 1))))) (+ 1 (* z (- 1 y))))>
#<alt (/ (* x (+ 1 (* (pow z 2) (* (- 1 y) (- y 1))))) (+ 1 (* z (- 1 y))))>
#<alt (+ 1 (* -1 (pow z 2)))>
#<alt (+ 1 (+ (* -1 (pow z 2)) (* 2 (* y (pow z 2)))))>
#<alt (+ 1 (+ (* -1 (pow z 2)) (* y (+ (* -1 (* y (pow z 2))) (* 2 (pow z 2))))))>
#<alt (+ 1 (+ (* -1 (pow z 2)) (* y (+ (* -1 (* y (pow z 2))) (* 2 (pow z 2))))))>
#<alt (* -1 (* (pow y 2) (pow z 2)))>
#<alt (* (pow y 2) (+ (* -1 (pow z 2)) (* 2 (/ (pow z 2) y))))>
#<alt (* (pow y 2) (+ (* -1 (/ (pow z 2) (pow y 2))) (+ (* -1 (pow z 2)) (+ (* 2 (/ (pow z 2) y)) (/ 1 (pow y 2))))))>
#<alt (* (pow y 2) (+ (* -1 (/ (pow z 2) (pow y 2))) (+ (* -1 (pow z 2)) (+ (* 2 (/ (pow z 2) y)) (/ 1 (pow y 2))))))>
#<alt (* -1 (* (pow y 2) (pow z 2)))>
#<alt (* (pow y 2) (+ (* -1 (pow z 2)) (* 2 (/ (pow z 2) y))))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -2 (pow z 2)) (* -1 (/ (+ 1 (* -1 (pow z 2))) y))) y)) (* -1 (pow z 2))))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -2 (pow z 2)) (* -1 (/ (+ 1 (* -1 (pow z 2))) y))) y)) (* -1 (pow z 2))))>
#<alt 1>
#<alt (+ 1 (* (pow z 2) (* (- 1 y) (- y 1))))>
#<alt (+ 1 (* (pow z 2) (* (- 1 y) (- y 1))))>
#<alt (+ 1 (* (pow z 2) (* (- 1 y) (- y 1))))>
#<alt (* (pow z 2) (* (- 1 y) (- y 1)))>
#<alt (* (pow z 2) (+ (* (- 1 y) (- y 1)) (/ 1 (pow z 2))))>
#<alt (* (pow z 2) (+ (* (- 1 y) (- y 1)) (/ 1 (pow z 2))))>
#<alt (* (pow z 2) (+ (* (- 1 y) (- y 1)) (/ 1 (pow z 2))))>
#<alt (* (pow z 2) (* (- 1 y) (- y 1)))>
#<alt (* (pow z 2) (+ (* (- 1 y) (- y 1)) (/ 1 (pow z 2))))>
#<alt (* (pow z 2) (+ (* (- 1 y) (- y 1)) (/ 1 (pow z 2))))>
#<alt (* (pow z 2) (+ (* (- 1 y) (- y 1)) (/ 1 (pow z 2))))>
#<alt (* -1 (pow z 2))>
#<alt (+ (* -1 (pow z 2)) (* 2 (* y (pow z 2))))>
#<alt (+ (* -1 (pow z 2)) (* y (+ (* -1 (* y (pow z 2))) (* 2 (pow z 2)))))>
#<alt (+ (* -1 (pow z 2)) (* y (+ (* -1 (* y (pow z 2))) (* 2 (pow z 2)))))>
#<alt (* -1 (* (pow y 2) (pow z 2)))>
#<alt (* (pow y 2) (+ (* -1 (pow z 2)) (* 2 (/ (pow z 2) y))))>
#<alt (* (pow y 2) (+ (* -1 (/ (pow z 2) (pow y 2))) (+ (* -1 (pow z 2)) (* 2 (/ (pow z 2) y)))))>
#<alt (* (pow y 2) (+ (* -1 (/ (pow z 2) (pow y 2))) (+ (* -1 (pow z 2)) (* 2 (/ (pow z 2) y)))))>
#<alt (* -1 (* (pow y 2) (pow z 2)))>
#<alt (* (pow y 2) (+ (* -1 (pow z 2)) (* 2 (/ (pow z 2) y))))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -2 (pow z 2)) (/ (pow z 2) y)) y)) (* -1 (pow z 2))))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -2 (pow z 2)) (/ (pow z 2) y)) y)) (* -1 (pow z 2))))>
#<alt (* (pow z 2) (* (- 1 y) (- y 1)))>
#<alt (* (pow z 2) (* (- 1 y) (- y 1)))>
#<alt (* (pow z 2) (* (- 1 y) (- y 1)))>
#<alt (* (pow z 2) (* (- 1 y) (- y 1)))>
#<alt (* (pow z 2) (* (- 1 y) (- y 1)))>
#<alt (* (pow z 2) (* (- 1 y) (- y 1)))>
#<alt (* (pow z 2) (* (- 1 y) (- y 1)))>
#<alt (* (pow z 2) (* (- 1 y) (- y 1)))>
#<alt (* (pow z 2) (* (- 1 y) (- y 1)))>
#<alt (* (pow z 2) (* (- 1 y) (- y 1)))>
#<alt (* (pow z 2) (* (- 1 y) (- y 1)))>
#<alt (* (pow z 2) (* (- 1 y) (- y 1)))>
#<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 (+ 1 z)) (/ (* x (* y z)) (pow (+ 1 z) 2)))>
#<alt (+ (* y (- (/ (* x (* y (pow z 2))) (pow (+ 1 z) 3)) (* -1 (/ (* x z) (pow (+ 1 z) 2))))) (/ x (+ 1 z)))>
#<alt (+ (* y (- (* y (- (/ (* x (* y (pow z 3))) (pow (+ 1 z) 4)) (* -1 (/ (* x (pow z 2)) (pow (+ 1 z) 3))))) (* -1 (/ (* x z) (pow (+ 1 z) 2))))) (/ x (+ 1 z)))>
#<alt (* -1 (/ x (* y z)))>
#<alt (/ (+ (* -1 (/ x z)) (* -1 (/ (* x (+ 1 z)) (* y (pow z 2))))) y)>
#<alt (/ (- (+ (* -1 (/ x z)) (* -1 (/ (* x (pow (+ 1 z) 2)) (* (pow y 2) (pow z 3))))) (/ (* x (+ 1 z)) (* y (pow z 2)))) y)>
#<alt (/ (- (+ (* -1 (/ x z)) (* -1 (/ (* x (pow (+ 1 z) 3)) (* (pow y 3) (pow z 4))))) (+ (/ (* x (+ 1 z)) (* y (pow z 2))) (/ (* x (pow (+ 1 z) 2)) (* (pow y 2) (pow z 3))))) y)>
#<alt (* -1 (/ x (* y z)))>
#<alt (* -1 (/ (+ (/ x z) (/ (* x (+ 1 z)) (* y (pow z 2)))) y))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* x (pow (+ 1 z) 2)) (* y (pow z 3)))) (/ (* x (+ 1 z)) (pow z 2))) y)) (/ x z)) y))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* x (pow (+ 1 z) 3)) (* y (pow z 4))) (* -1 (/ (* x (pow (+ 1 z) 2)) (pow z 3)))) y)) (/ (* x (+ 1 z)) (pow z 2))) y)) (/ x z)) y))>
#<alt x>
#<alt (+ x (* -1 (* x (* z (- 1 y)))))>
#<alt (+ x (* z (- (* x (* z (pow (- 1 y) 2))) (* x (- 1 y)))))>
#<alt (+ x (* z (- (* z (- (* -1 (* x (* z (pow (- 1 y) 3)))) (* -1 (* x (pow (- 1 y) 2))))) (* x (- 1 y)))))>
#<alt (/ x (* z (- 1 y)))>
#<alt (/ (+ (* -1 (/ x (* z (pow (- 1 y) 2)))) (/ x (- 1 y))) z)>
#<alt (/ (- (+ (/ x (* (pow z 2) (pow (- 1 y) 3))) (/ x (- 1 y))) (/ x (* z (pow (- 1 y) 2)))) z)>
#<alt (/ (- (+ (* -1 (/ x (* (pow z 3) (pow (- 1 y) 4)))) (/ x (- 1 y))) (+ (* -1 (/ x (* (pow z 2) (pow (- 1 y) 3)))) (/ x (* z (pow (- 1 y) 2))))) z)>
#<alt (/ x (* z (- 1 y)))>
#<alt (* -1 (/ (+ (* -1 (/ x (- 1 y))) (/ x (* z (pow (- 1 y) 2)))) z))>
#<alt (* -1 (/ (+ (* -1 (/ x (- 1 y))) (* -1 (/ (- (/ x (* z (pow (- 1 y) 3))) (/ x (pow (- 1 y) 2))) z))) z))>
#<alt (* -1 (/ (+ (* -1 (/ x (- 1 y))) (* -1 (/ (- (* -1 (/ (- (/ x (* z (pow (- 1 y) 4))) (/ x (pow (- 1 y) 3))) z)) (/ x (pow (- 1 y) 2))) z))) z))>
#<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))))>
Calls

96 calls:

TimeVariablePointExpression
3.0ms
y
@0
(+ 1 (* (* (- 1 y) z) (* z (+ y -1))))
2.0ms
x
@0
(* (* (- 1 y) z) x)
2.0ms
z
@-inf
(* z (+ y -1))
2.0ms
x
@0
(* (+ 1 (* (* (- 1 y) z) (* z (+ y -1)))) (/ x (+ 1 (* (- 1 y) z))))
1.0ms
z
@-inf
(- x (* (* (- 1 y) z) x))

rewrite482.0ms (6%)

Algorithm
batch-egg-rewrite
Rules
3944×*-lowering-*.f32
3944×*-lowering-*.f64
3720×/-lowering-/.f32
3720×/-lowering-/.f64
2468×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
022119
1157111
21500108
08659108
Stop Event
iter limit
node limit
Counts
15 → 593
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 (/ 1 (- 1 y)))))
(- 1 (/ z (/ 1 (- 1 y))))
(/ z (/ 1 (- 1 y)))
(/ 1 (- 1 y))
(* (+ 1 (* (* (- 1 y) z) (* z (+ y -1)))) (/ x (+ 1 (* (- 1 y) z))))
(+ 1 (* (* (- 1 y) z) (* z (+ y -1))))
(* (* (- 1 y) z) (* z (+ y -1)))
(/ x (+ 1 (* (- 1 y) z)))
(* z (+ y -1))
Outputs
(+.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) y) z))))
(+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) y) z))) x)
(+.f64 (*.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) y) z))))
(+.f64 (*.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) y) z))))
(-.f64 x (*.f64 x (*.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 (*.f64 x (*.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 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (/.f64 x x)) (*.f64 (/.f64 (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (/.f64 (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) y) z)) x)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) y) z))))) (/.f64 (*.f64 (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (-.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) y) z))))))
(fma.f64 x #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) y) z))))
(fma.f64 x (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) x)
(fma.f64 #s(literal 1 binary64) x (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) y) z))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (neg.f64 (*.f64 x z)) x)
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) (-.f64 #s(literal 0 binary64) x) 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 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) y)) (*.f64 x z) x)
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) x x)
(/.f64 #s(literal 1 binary64) (/.f64 (+.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 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (*.f64 (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) y) z)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) x) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) x) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.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 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (*.f64 (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) y) z))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) x) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) x) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))))))
(/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) x) (*.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 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) x) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))) (-.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) y) z)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) x) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) x)))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) x) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))))) (neg.f64 (-.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x (*.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 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 z 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 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 z z))))) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 z z))))) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) 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 (-.f64 #s(literal 1 binary64) y) (*.f64 z z)))) x) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
(/.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (*.f64 (*.f64 x (*.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 (*.f64 x x)) (*.f64 (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (*.f64 (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) y) z))))) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) y) z)))))))
(/.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)))) (*.f64 (+.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 x (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (*.f64 (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) y) z)))))) (*.f64 (+.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 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 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) x)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) x) (*.f64 (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) y) z))))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) x) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) x)))
(/.f64 (neg.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (*.f64 (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) y) z)))))) (neg.f64 (+.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 (neg.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (*.f64 (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) y) z)))))) (neg.f64 (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) y) z))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (*.f64 (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) y) z))))))) (neg.f64 (neg.f64 (+.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 (neg.f64 (neg.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) x) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))))) (neg.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) x))))
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 z z))))))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) 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 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 z z)))))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))))
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(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 z z)) (+.f64 (*.f64 y y) #s(literal -1 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) y)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 z z) (+.f64 y #s(literal -1 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) y)))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (*.f64 z z) (+.f64 y #s(literal -1 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) y)))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) (*.f64 y z)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) (-.f64 #s(literal 0 binary64) z)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) (*.f64 y z)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) (*.f64 y z))) (-.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) (-.f64 #s(literal 0 binary64) z)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) (-.f64 #s(literal 0 binary64) z))) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) (*.f64 y z)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) (-.f64 #s(literal 0 binary64) z))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 z z)) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 z z)) #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 z z)) y) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 z z)) y)) (-.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 z z)) #s(literal -1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 z z)) #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 z z)) y) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 z z)) #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 z z)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 z z)) y) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 z z)) #s(literal -1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 z z)) #s(literal -1 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 z z)) y) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 z z)) y)) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 z z)) #s(literal -1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 z z)) y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 y z) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 y z) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (*.f64 (*.f64 y z) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (*.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (*.f64 (*.f64 (*.f64 y z) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (*.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) y) z))))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 z z))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 z z))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 z z))) (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 z z)))) (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 z z))) (*.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 z z)))) (*.f64 (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 z z))) (*.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 z z)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 z z))) #s(literal 3 binary64)) (pow.f64 (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 z z))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 z z))) (*.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 z z)))) (-.f64 (*.f64 (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 z z))) (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 z z)))) (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 z z))) (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 z z)))))))
(*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 z z) (+.f64 y #s(literal -1 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 z z) (+.f64 y #s(literal -1 binary64))))
(*.f64 z (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 z (+.f64 y #s(literal -1 binary64)))))
(*.f64 z (*.f64 (+.f64 y #s(literal -1 binary64)) (*.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 y #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 z z)))
(*.f64 (*.f64 z (+.f64 y #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 z z) (+.f64 y #s(literal -1 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 z z)) (+.f64 y #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 z z) (+.f64 y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y #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) (*.f64 z z))) (+.f64 y #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) (+.f64 y #s(literal -1 binary64))) z)
(*.f64 (*.f64 (*.f64 z (+.f64 y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) y)) z)
(exp.f64 (*.f64 (log.f64 (/.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 0 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))) (/.f64 x (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))))
(neg.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (+.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)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.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) x) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (neg.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))))
(/.f64 (*.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x))) (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))))))
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) x) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) x) #s(literal 1 binary64)) #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 x (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 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))) x)
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 z 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)))))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 z z)))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #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)))))))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 z z))))) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))))
(+.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 y z))
(+.f64 (*.f64 y z) (-.f64 #s(literal 0 binary64) z))
(-.f64 (*.f64 y z) z)
(-.f64 (/.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (-.f64 (*.f64 y z) (-.f64 #s(literal 0 binary64) z))) (/.f64 (*.f64 z z) (-.f64 (*.f64 y z) (-.f64 #s(literal 0 binary64) z))))
(fma.f64 y z (-.f64 #s(literal 0 binary64) z))
(fma.f64 z y (-.f64 #s(literal 0 binary64) z))
(fma.f64 z #s(literal -1 binary64) (*.f64 y z))
(fma.f64 #s(literal -1 binary64) z (*.f64 y z))
(/.f64 (+.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (neg.f64 (*.f64 z (*.f64 z z)))) (+.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (-.f64 (*.f64 z z) (*.f64 (*.f64 y z) (-.f64 #s(literal 0 binary64) z)))))
(/.f64 (-.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 z z)) (-.f64 (*.f64 y z) (-.f64 #s(literal 0 binary64) z)))
(/.f64 (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))) (+.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) y)))
(/.f64 (*.f64 z (+.f64 (*.f64 y y) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))) z) (+.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) y)))
(/.f64 (*.f64 (+.f64 (*.f64 y y) #s(literal -1 binary64)) z) (+.f64 #s(literal 1 binary64) y))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (neg.f64 (*.f64 z (*.f64 z z))))) (neg.f64 (+.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (-.f64 (*.f64 z z) (*.f64 (*.f64 y z) (-.f64 #s(literal 0 binary64) z))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 z z))) (neg.f64 (-.f64 (*.f64 y z) (-.f64 #s(literal 0 binary64) z))))
(/.f64 (neg.f64 (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))))) (neg.f64 (+.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) y))))
(/.f64 (neg.f64 (*.f64 z (+.f64 (*.f64 y y) #s(literal -1 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) y)))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))) z)) (neg.f64 (+.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) y))))
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 y y) #s(literal -1 binary64)) z)) (neg.f64 (+.f64 #s(literal 1 binary64) y)))
(/.f64 (+.f64 (neg.f64 (*.f64 z (*.f64 z z))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (+.f64 (*.f64 z z) (-.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 y z)))))
(*.f64 z (+.f64 y #s(literal -1 binary64)))
(*.f64 (+.f64 y #s(literal -1 binary64)) z)

simplify431.0ms (5.4%)

Algorithm
egg-herbie
Rules
4488×*-lowering-*.f32
4488×*-lowering-*.f64
2146×+-lowering-+.f64
2146×+-lowering-+.f32
1840×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04904621
117523886
266733871
080043871
Stop Event
iter limit
node limit
Counts
384 → 384
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))
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(+ 1 (* (pow z 2) (* (- 1 y) (- y 1))))
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z (*.f64 z (-.f64 #s(literal 1 binary64) y)))))
(+ 1 (* (pow z 2) (* (- 1 y) (- y 1))))
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z (*.f64 z (-.f64 #s(literal 1 binary64) y)))))
(+ 1 (* (pow z 2) (* (- 1 y) (- y 1))))
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z (*.f64 z (-.f64 #s(literal 1 binary64) y)))))
(* (pow z 2) (* (- 1 y) (- y 1)))
(*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z (*.f64 z (-.f64 #s(literal 1 binary64) y))))
(* (pow z 2) (+ (* (- 1 y) (- y 1)) (/ 1 (pow z 2))))
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z (*.f64 z (-.f64 #s(literal 1 binary64) y)))))
(* (pow z 2) (+ (* (- 1 y) (- y 1)) (/ 1 (pow z 2))))
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z (*.f64 z (-.f64 #s(literal 1 binary64) y)))))
(* (pow z 2) (+ (* (- 1 y) (- y 1)) (/ 1 (pow z 2))))
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z (*.f64 z (-.f64 #s(literal 1 binary64) y)))))
(* (pow z 2) (* (- 1 y) (- y 1)))
(*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z (*.f64 z (-.f64 #s(literal 1 binary64) y))))
(* (pow z 2) (+ (* (- 1 y) (- y 1)) (/ 1 (pow z 2))))
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z (*.f64 z (-.f64 #s(literal 1 binary64) y)))))
(* (pow z 2) (+ (* (- 1 y) (- y 1)) (/ 1 (pow z 2))))
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z (*.f64 z (-.f64 #s(literal 1 binary64) y)))))
(* (pow z 2) (+ (* (- 1 y) (- y 1)) (/ 1 (pow z 2))))
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z (*.f64 z (-.f64 #s(literal 1 binary64) y)))))
(* -1 (pow z 2))
(-.f64 #s(literal 0 binary64) (*.f64 z z))
(+ (* -1 (pow z 2)) (* 2 (* y (pow z 2))))
(*.f64 (*.f64 z z) (+.f64 #s(literal -1 binary64) (*.f64 y #s(literal 2 binary64))))
(+ (* -1 (pow z 2)) (* y (+ (* -1 (* y (pow z 2))) (* 2 (pow z 2)))))
(-.f64 (*.f64 y (*.f64 (*.f64 z z) (+.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 2 binary64)))) (*.f64 z z))
(+ (* -1 (pow z 2)) (* y (+ (* -1 (* y (pow z 2))) (* 2 (pow z 2)))))
(-.f64 (*.f64 y (*.f64 (*.f64 z z) (+.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 2 binary64)))) (*.f64 z z))
(* -1 (* (pow y 2) (pow z 2)))
(-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z (*.f64 y y))))
(* (pow y 2) (+ (* -1 (pow z 2)) (* 2 (/ (pow z 2) y))))
(*.f64 (*.f64 y y) (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 z z) y)) (*.f64 z z)))
(* (pow y 2) (+ (* -1 (/ (pow z 2) (pow y 2))) (+ (* -1 (pow z 2)) (* 2 (/ (pow z 2) y)))))
(*.f64 (*.f64 y y) (-.f64 (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 z z) y)) (*.f64 z z)) (/.f64 (/.f64 (*.f64 z z) y) y)))
(* (pow y 2) (+ (* -1 (/ (pow z 2) (pow y 2))) (+ (* -1 (pow z 2)) (* 2 (/ (pow z 2) y)))))
(*.f64 (*.f64 y y) (-.f64 (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 z z) y)) (*.f64 z z)) (/.f64 (/.f64 (*.f64 z z) y) y)))
(* -1 (* (pow y 2) (pow z 2)))
(-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z (*.f64 y y))))
(* (pow y 2) (+ (* -1 (pow z 2)) (* 2 (/ (pow z 2) y))))
(*.f64 (*.f64 y y) (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 z z) y)) (*.f64 z z)))
(* (pow y 2) (+ (* -1 (/ (+ (* -2 (pow z 2)) (/ (pow z 2) y)) y)) (* -1 (pow z 2))))
(*.f64 #s(literal -1 binary64) (*.f64 (+.f64 (*.f64 z z) (/.f64 (+.f64 (/.f64 (*.f64 z z) y) (*.f64 (*.f64 z z) #s(literal -2 binary64))) y)) (*.f64 y y)))
(* (pow y 2) (+ (* -1 (/ (+ (* -2 (pow z 2)) (/ (pow z 2) y)) y)) (* -1 (pow z 2))))
(*.f64 #s(literal -1 binary64) (*.f64 (+.f64 (*.f64 z z) (/.f64 (+.f64 (/.f64 (*.f64 z z) y) (*.f64 (*.f64 z z) #s(literal -2 binary64))) y)) (*.f64 y y)))
(* (pow z 2) (* (- 1 y) (- y 1)))
(*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z (*.f64 z (-.f64 #s(literal 1 binary64) y))))
(* (pow z 2) (* (- 1 y) (- y 1)))
(*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z (*.f64 z (-.f64 #s(literal 1 binary64) y))))
(* (pow z 2) (* (- 1 y) (- y 1)))
(*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z (*.f64 z (-.f64 #s(literal 1 binary64) y))))
(* (pow z 2) (* (- 1 y) (- y 1)))
(*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z (*.f64 z (-.f64 #s(literal 1 binary64) y))))
(* (pow z 2) (* (- 1 y) (- y 1)))
(*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z (*.f64 z (-.f64 #s(literal 1 binary64) y))))
(* (pow z 2) (* (- 1 y) (- y 1)))
(*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z (*.f64 z (-.f64 #s(literal 1 binary64) y))))
(* (pow z 2) (* (- 1 y) (- y 1)))
(*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z (*.f64 z (-.f64 #s(literal 1 binary64) y))))
(* (pow z 2) (* (- 1 y) (- y 1)))
(*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z (*.f64 z (-.f64 #s(literal 1 binary64) y))))
(* (pow z 2) (* (- 1 y) (- y 1)))
(*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z (*.f64 z (-.f64 #s(literal 1 binary64) y))))
(* (pow z 2) (* (- 1 y) (- y 1)))
(*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z (*.f64 z (-.f64 #s(literal 1 binary64) y))))
(* (pow z 2) (* (- 1 y) (- y 1)))
(*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z (*.f64 z (-.f64 #s(literal 1 binary64) y))))
(* (pow z 2) (* (- 1 y) (- y 1)))
(*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z (*.f64 z (-.f64 #s(literal 1 binary64) y))))
(/ x (+ 1 (* z (- 1 y))))
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z (-.f64 #s(literal 1 binary64) y))))
(/ x (+ 1 (* z (- 1 y))))
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z (-.f64 #s(literal 1 binary64) y))))
(/ x (+ 1 (* z (- 1 y))))
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z (-.f64 #s(literal 1 binary64) y))))
(/ x (+ 1 (* z (- 1 y))))
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z (-.f64 #s(literal 1 binary64) y))))
(/ x (+ 1 (* z (- 1 y))))
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z (-.f64 #s(literal 1 binary64) y))))
(/ x (+ 1 (* z (- 1 y))))
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z (-.f64 #s(literal 1 binary64) y))))
(/ x (+ 1 (* z (- 1 y))))
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z (-.f64 #s(literal 1 binary64) y))))
(/ x (+ 1 (* z (- 1 y))))
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z (-.f64 #s(literal 1 binary64) y))))
(/ x (+ 1 (* z (- 1 y))))
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z (-.f64 #s(literal 1 binary64) y))))
(/ x (+ 1 (* z (- 1 y))))
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z (-.f64 #s(literal 1 binary64) y))))
(/ x (+ 1 (* z (- 1 y))))
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z (-.f64 #s(literal 1 binary64) y))))
(/ x (+ 1 (* z (- 1 y))))
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z (-.f64 #s(literal 1 binary64) y))))
(/ x (+ 1 z))
(/.f64 x (+.f64 #s(literal 1 binary64) z))
(+ (/ x (+ 1 z)) (/ (* x (* y z)) (pow (+ 1 z) 2)))
(+.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) (/.f64 (*.f64 z (*.f64 x y)) (*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) z))))
(+ (* y (- (/ (* x (* y (pow z 2))) (pow (+ 1 z) 3)) (* -1 (/ (* x z) (pow (+ 1 z) 2))))) (/ x (+ 1 z)))
(+.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) (*.f64 y (+.f64 (/.f64 (/.f64 (*.f64 (*.f64 z (*.f64 x y)) z) (+.f64 #s(literal 1 binary64) z)) (*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) z))) (/.f64 (*.f64 x z) (*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) z))))))
(+ (* y (- (* y (- (/ (* x (* y (pow z 3))) (pow (+ 1 z) 4)) (* -1 (/ (* x (pow z 2)) (pow (+ 1 z) 3))))) (* -1 (/ (* x z) (pow (+ 1 z) 2))))) (/ x (+ 1 z)))
(+.f64 (/.f64 x (+.f64 #s(literal 1 binary64) z)) (*.f64 y (+.f64 (*.f64 y (+.f64 (/.f64 (*.f64 (*.f64 z (*.f64 x y)) (*.f64 z z)) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 4 binary64))) (/.f64 (/.f64 (*.f64 x (*.f64 z z)) (+.f64 #s(literal 1 binary64) z)) (*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) z))))) (/.f64 (*.f64 x z) (*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) z))))))
(* -1 (/ x (* y z)))
(-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 z y)))
(/ (+ (* -1 (/ x z)) (* -1 (/ (* x (+ 1 z)) (* y (pow z 2))))) y)
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 x z)) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) z)) (*.f64 z (*.f64 z y)))) y)
(/ (- (+ (* -1 (/ x z)) (* -1 (/ (* x (pow (+ 1 z) 2)) (* (pow y 2) (pow z 3))))) (/ (* x (+ 1 z)) (* y (pow z 2)))) y)
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 x z)) (*.f64 x (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 z (*.f64 z y))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) z)) (*.f64 z (*.f64 z (*.f64 z (*.f64 y y)))))))) y)
(/ (- (+ (* -1 (/ x z)) (* -1 (/ (* x (pow (+ 1 z) 3)) (* (pow y 3) (pow z 4))))) (+ (/ (* x (+ 1 z)) (* y (pow z 2))) (/ (* x (pow (+ 1 z) 2)) (* (pow y 2) (pow z 3))))) y)
(/.f64 (-.f64 (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 x z)) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 x (+.f64 #s(literal 1 binary64) z)))) (*.f64 (*.f64 y y) (*.f64 y (pow.f64 z #s(literal 4 binary64)))))) (*.f64 x (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 z (*.f64 z y))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) z)) (*.f64 z (*.f64 z (*.f64 z (*.f64 y y)))))))) y)
(* -1 (/ x (* y z)))
(-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 z y)))
(* -1 (/ (+ (/ x z) (/ (* x (+ 1 z)) (* y (pow z 2)))) y))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 x z)) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) z)) (*.f64 z (*.f64 z y)))) y)
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* x (pow (+ 1 z) 2)) (* y (pow z 3)))) (/ (* x (+ 1 z)) (pow z 2))) y)) (/ x z)) y))
(/.f64 (-.f64 (/.f64 x z) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) z)) y)) (*.f64 z (*.f64 z z)))) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) z)) (*.f64 z z))) y)) (-.f64 #s(literal 0 binary64) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* x (pow (+ 1 z) 3)) (* y (pow z 4))) (* -1 (/ (* x (pow (+ 1 z) 2)) (pow z 3)))) y)) (/ (* x (+ 1 z)) (pow z 2))) y)) (/ x z)) y))
(/.f64 (-.f64 (/.f64 x z) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 x (+.f64 #s(literal 1 binary64) z)))) (*.f64 y (pow.f64 z #s(literal 4 binary64)))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 x (+.f64 #s(literal 1 binary64) z))) (*.f64 z (*.f64 z z)))) y)) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) z)) (*.f64 z z))) y)) (-.f64 #s(literal 0 binary64) y))
x
(+ x (* -1 (* x (* z (- 1 y)))))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z (-.f64 #s(literal 1 binary64) y))))
(+ x (* z (- (* x (* z (pow (- 1 y) 2))) (* x (- 1 y)))))
(+.f64 x (*.f64 (*.f64 x z) (-.f64 (*.f64 z (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) (-.f64 #s(literal 1 binary64) y))))
(+ x (* z (- (* z (- (* -1 (* x (* z (pow (- 1 y) 3)))) (* -1 (* x (pow (- 1 y) 2))))) (* x (- 1 y)))))
(+.f64 x (*.f64 z (-.f64 (*.f64 z (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 (*.f64 z (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (*.f64 x (-.f64 #s(literal 1 binary64) y)))))
(/ x (* z (- 1 y)))
(/.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) z)
(/ (+ (* -1 (/ x (* z (pow (- 1 y) 2)))) (/ x (- 1 y))) z)
(/.f64 (-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 x (*.f64 z (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) z)
(/ (- (+ (/ x (* (pow z 2) (pow (- 1 y) 3))) (/ x (- 1 y))) (/ x (* z (pow (- 1 y) 2)))) z)
(/.f64 (+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 (/.f64 (/.f64 x (*.f64 z (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))) (-.f64 #s(literal 1 binary64) y)) (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))) z)) z)
(/ (- (+ (* -1 (/ x (* (pow z 3) (pow (- 1 y) 4)))) (/ x (- 1 y))) (+ (* -1 (/ x (* (pow z 2) (pow (- 1 y) 3)))) (/ x (* z (pow (- 1 y) 2))))) z)
(/.f64 (-.f64 (-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 x (*.f64 z (*.f64 z z))) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 4 binary64)))) (-.f64 (/.f64 x (*.f64 z (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))) (/.f64 (/.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 z z)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) z)
(/ x (* z (- 1 y)))
(/.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) z)
(* -1 (/ (+ (* -1 (/ x (- 1 y))) (/ x (* z (pow (- 1 y) 2)))) z))
(/.f64 (-.f64 (/.f64 x (*.f64 z (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (-.f64 #s(literal 0 binary64) z))
(* -1 (/ (+ (* -1 (/ x (- 1 y))) (* -1 (/ (- (/ x (* z (pow (- 1 y) 3))) (/ x (pow (- 1 y) 2))) z))) z))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 (/.f64 (/.f64 x (*.f64 z (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))) (-.f64 #s(literal 1 binary64) y)) (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))) z))) z)
(* -1 (/ (+ (* -1 (/ x (- 1 y))) (* -1 (/ (- (* -1 (/ (- (/ x (* z (pow (- 1 y) 4))) (/ x (pow (- 1 y) 3))) z)) (/ x (pow (- 1 y) 2))) z))) z))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 x (*.f64 z (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 4 binary64)))) (/.f64 (/.f64 x (-.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)) (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))) z))) z)
(* 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 y (-.f64 z (/.f64 z y)))
(* y (+ z (* -1 (/ z y))))
(*.f64 y (-.f64 z (/.f64 z y)))
(* y (+ z (* -1 (/ z y))))
(*.f64 y (-.f64 z (/.f64 z y)))
(* y z)
(*.f64 z y)
(* -1 (* y (+ (* -1 z) (/ z y))))
(*.f64 y (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 z y) z)))
(* -1 (* y (+ (* -1 z) (/ z y))))
(*.f64 y (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 z y) z)))
(* -1 (* y (+ (* -1 z) (/ z y))))
(*.f64 y (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 z y) z)))

eval204.0ms (2.5%)

Compiler

Compiled 34952 to 3252 computations (90.7% saved)

prune154.0ms (1.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New134531348
Fresh235
Picked415
Done011
Total135181359
Accuracy
100.0%
Counts
1359 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.5%
(/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))))
63.8%
(-.f64 x (*.f64 z x))
62.1%
(*.f64 (*.f64 x z) (+.f64 y #s(literal -1 binary64)))
40.5%
(*.f64 z (*.f64 x y))
96.6%
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
60.2%
(*.f64 x (*.f64 z (+.f64 y #s(literal -1 binary64))))
38.7%
(*.f64 x (*.f64 z y))
38.5%
x
Compiler

Compiled 132 to 87 computations (34.1% saved)

simplify206.0ms (2.6%)

Algorithm
egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 y #s(literal -1 binary64))
cost-diff0
(*.f64 z (+.f64 y #s(literal -1 binary64)))
cost-diff0
(*.f64 x (*.f64 z (+.f64 y #s(literal -1 binary64))))
cost-diff0
(*.f64 z x)
cost-diff0
(-.f64 x (*.f64 z x))
cost-diff0
(*.f64 x y)
cost-diff0
(*.f64 z (*.f64 x y))
cost-diff0
(*.f64 z y)
cost-diff0
(*.f64 x (*.f64 z y))
cost-diff0
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
cost-diff0
(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
cost-diff128
(/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))))
Rules
2308×fnmadd-define
1954×fma-define
1758×sum4-define
1646×sum3-define
1460×fmsub-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01988
15487
212283
328479
476279
5223979
6557279
7713979
8746079
9747379
10749279
11776879
12776879
0776879
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ x (/ 1 (- 1 (* (- 1 y) z))))
x
(/ 1 (- 1 (* (- 1 y) z)))
1
(- 1 (* (- 1 y) z))
(* (- 1 y) z)
(- 1 y)
y
z
(* x (* z y))
x
(* z y)
z
y
(* z (* x y))
z
(* x y)
x
y
(- x (* z x))
x
(* z x)
z
(* x (* z (+ y -1)))
x
(* z (+ y -1))
z
(+ y -1)
y
-1
Outputs
(/ 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
(* x (* z y))
(*.f64 x (*.f64 y z))
x
(* z y)
(*.f64 y z)
z
y
(* z (* x y))
(*.f64 x (*.f64 y z))
z
(* x y)
(*.f64 x y)
x
y
(- x (* z x))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
x
(* z x)
(*.f64 x z)
z
(* x (* z (+ y -1)))
(*.f64 x (*.f64 z (+.f64 y #s(literal -1 binary64))))
x
(* z (+ y -1))
(*.f64 z (+.f64 y #s(literal -1 binary64)))
z
(+ y -1)
(+.f64 y #s(literal -1 binary64))
y
-1
#s(literal -1 binary64)

localize128.0ms (1.6%)

Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 y #s(literal -1 binary64))
accuracy100.0%
(*.f64 z (+.f64 y #s(literal -1 binary64)))
accuracy96.6%
(*.f64 x (*.f64 z (+.f64 y #s(literal -1 binary64))))
accuracy100.0%
(*.f64 z x)
accuracy100.0%
(-.f64 x (*.f64 z x))
accuracy100.0%
(*.f64 x y)
accuracy93.0%
(*.f64 z (*.f64 x y))
accuracy100.0%
(*.f64 z y)
accuracy90.9%
(*.f64 x (*.f64 z y))
accuracy100.0%
(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
accuracy100.0%
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
accuracy99.7%
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
accuracy96.5%
(/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))))
Results
101.0ms256×0valid
Compiler

Compiled 94 to 20 computations (78.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
ival-mult: 37.0ms (67.4% of total)
ival-div: 11.0ms (20% of total)
ival-sub: 5.0ms (9.1% of total)
ival-add: 1.0ms (1.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series17.0ms (0.2%)

Counts
13 → 348
Calls
Call 1
Inputs
#<alt (/ x (/ 1 (- 1 (* (- 1 y) z))))>
#<alt (/ 1 (- 1 (* (- 1 y) z)))>
#<alt (- 1 (* (- 1 y) z))>
#<alt (* (- 1 y) z)>
#<alt (* x (* z y))>
#<alt (* z y)>
#<alt (* z (* x y))>
#<alt (* x y)>
#<alt (- x (* z x))>
#<alt (* z x)>
#<alt (* x (* z (+ y -1)))>
#<alt (* z (+ y -1))>
#<alt (+ y -1)>
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 (- 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)))>
#<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 (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x (- 1 z))>
#<alt (* x (- 1 z))>
#<alt (* x (- 1 z))>
#<alt (* x (- 1 z))>
#<alt (* x (- 1 z))>
#<alt (* x (- 1 z))>
#<alt (* x (- 1 z))>
#<alt (* x (- 1 z))>
#<alt (* x (+ 1 (* -1 z)))>
#<alt (* x (+ 1 (* -1 z)))>
#<alt (* x (+ 1 (* -1 z)))>
#<alt (* x (+ 1 (* -1 z)))>
#<alt x>
#<alt (+ x (* -1 (* x z)))>
#<alt (+ x (* -1 (* x z)))>
#<alt (+ x (* -1 (* x z)))>
#<alt (* -1 (* x z))>
#<alt (* z (- (/ x z) x))>
#<alt (* z (- (/ x z) x))>
#<alt (* z (- (/ x z) x))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* z (- (* -1 (/ x z)) (* -1 x))))>
#<alt (* -1 (* z (- (* -1 (/ x z)) (* -1 x))))>
#<alt (* -1 (* z (- (* -1 (/ x z)) (* -1 x))))>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* -1 (* x z))>
#<alt (+ (* -1 (* x z)) (* x (* y z)))>
#<alt (+ (* -1 (* x z)) (* x (* y z)))>
#<alt (+ (* -1 (* x z)) (* x (* y z)))>
#<alt (* x (* y z))>
#<alt (* y (+ (* -1 (/ (* x z) y)) (* x z)))>
#<alt (* y (+ (* -1 (/ (* x z) y)) (* x z)))>
#<alt (* y (+ (* -1 (/ (* x z) y)) (* x z)))>
#<alt (* x (* y z))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (/ (* x z) y))))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (/ (* x z) y))))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (/ (* x z) y))))>
#<alt (* z (- y 1))>
#<alt (* z (- y 1))>
#<alt (* z (- y 1))>
#<alt (* z (- y 1))>
#<alt (* z (- y 1))>
#<alt (* z (- y 1))>
#<alt (* z (- y 1))>
#<alt (* z (- y 1))>
#<alt (* z (- y 1))>
#<alt (* z (- y 1))>
#<alt (* z (- y 1))>
#<alt (* z (- y 1))>
#<alt (* -1 z)>
#<alt (+ (* -1 z) (* y z))>
#<alt (+ (* -1 z) (* y z))>
#<alt (+ (* -1 z) (* y z))>
#<alt (* y z)>
#<alt (* y (+ z (* -1 (/ z y))))>
#<alt (* y (+ z (* -1 (/ z y))))>
#<alt (* y (+ z (* -1 (/ z y))))>
#<alt (* y z)>
#<alt (* -1 (* y (+ (* -1 z) (/ z y))))>
#<alt (* -1 (* y (+ (* -1 z) (/ z y))))>
#<alt (* -1 (* y (+ (* -1 z) (/ z y))))>
#<alt -1>
#<alt (- y 1)>
#<alt (- y 1)>
#<alt (- y 1)>
#<alt y>
#<alt (* y (- 1 (/ 1 y)))>
#<alt (* y (- 1 (/ 1 y)))>
#<alt (* y (- 1 (/ 1 y)))>
#<alt y>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
Calls

87 calls:

TimeVariablePointExpression
1.0ms
y
@-inf
(/ 1 (- 1 (* (- 1 y) z)))
1.0ms
y
@inf
(/ 1 (- 1 (* (- 1 y) z)))
1.0ms
x
@0
(* x (* z (+ y -1)))
1.0ms
z
@0
(* x (* z y))
1.0ms
x
@0
(* x (* z y))

rewrite313.0ms (3.9%)

Algorithm
batch-egg-rewrite
Rules
4282×*-lowering-*.f32
4282×*-lowering-*.f64
3288×/-lowering-/.f32
3288×/-lowering-/.f64
1492×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01969
111368
279964
0872164
Stop Event
iter limit
node limit
Counts
13 → 678
Calls
Call 1
Inputs
(/ x (/ 1 (- 1 (* (- 1 y) z))))
(/ 1 (- 1 (* (- 1 y) z)))
(- 1 (* (- 1 y) z))
(* (- 1 y) z)
(* x (* z y))
(* z y)
(* z (* x y))
(* x y)
(- x (* z x))
(* z x)
(* x (* z (+ y -1)))
(* z (+ y -1))
(+ y -1)
Outputs
(+.f64 x (*.f64 x (*.f64 z (+.f64 y #s(literal -1 binary64)))))
(+.f64 x (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z (+.f64 y #s(literal -1 binary64))))))
(+.f64 x (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) (-.f64 #s(literal 0 binary64) x)))
(+.f64 (*.f64 x (*.f64 z (+.f64 y #s(literal -1 binary64)))) x)
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y #s(literal -1 binary64))))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y #s(literal -1 binary64)))))) (*.f64 x (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal -1 binary64))))
(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)))))
(neg.f64 (*.f64 x (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal -1 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y #s(literal -1 binary64))))))))
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y #s(literal -1 binary64)))))))
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(*.f64 (/.f64 (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) y))) (-.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) y))) (-.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) y))
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(-.f64 (/.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)))
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(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) (/.f64 (*.f64 y y) (-.f64 #s(literal -1 binary64) y)))
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(/.f64 (*.f64 (+.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 #s(literal 1 binary64) y)))
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(/.f64 (-.f64 (*.f64 y (*.f64 y y)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 y (+.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 (*.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 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)))) (+.f64 (/.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.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 #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 (+.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 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))))))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.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 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y))) (+.f64 (*.f64 y (*.f64 y (*.f64 y y))) (+.f64 #s(literal 1 binary64) (*.f64 y y))))
(/.f64 (*.f64 (+.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal -1 binary64)) (/.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 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 #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 1 binary64) y) (*.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y))))
(*.f64 (+.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 y #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) y)))
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(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal -1 binary64) (*.f64 y y)))
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(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (+.f64 #s(literal 1 binary64) y)) (*.f64 y (+.f64 #s(literal 1 binary64) y))))) (-.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) y))))

simplify312.0ms (3.9%)

Algorithm
egg-herbie
Rules
4524×*-lowering-*.f32
4524×*-lowering-*.f64
2590×+-lowering-+.f64
2590×+-lowering-+.f32
1386×--lowering--.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02362202
17751977
224831927
085231927
Stop Event
iter limit
node limit
Counts
348 → 348
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 (- 1 z))
(+ (* -1 (/ (* y z) (pow (- 1 z) 2))) (/ 1 (- 1 z)))
(+ (* y (- (/ (* y (pow z 2)) (pow (- 1 z) 3)) (/ z (pow (- 1 z) 2)))) (/ 1 (- 1 z)))
(+ (* y (- (* y (- (* -1 (/ (* y (pow z 3)) (pow (- 1 z) 4))) (* -1 (/ (pow z 2) (pow (- 1 z) 3))))) (/ z (pow (- 1 z) 2)))) (/ 1 (- 1 z)))
(/ 1 (* y z))
(/ (- (+ (/ 1 z) (/ 1 (* y z))) (/ 1 (* y (pow z 2)))) y)
(/ (- (+ (* -1 (/ (* (- 1 z) (- (/ 1 z) (/ 1 (pow z 2)))) (* (pow y 2) z))) (+ (/ 1 z) (/ 1 (* y z)))) (/ 1 (* y (pow z 2)))) y)
(/ (- (+ (/ 1 z) (+ (/ 1 (* y z)) (/ (* (pow (- 1 z) 2) (- (/ 1 z) (/ 1 (pow z 2)))) (* (pow y 3) (pow z 2))))) (+ (/ 1 (* y (pow z 2))) (/ (* (- 1 z) (- (/ 1 z) (/ 1 (pow z 2)))) (* (pow y 2) z)))) y)
(/ 1 (* y z))
(* -1 (/ (- (* -1 (/ (- (/ 1 z) (/ 1 (pow z 2))) y)) (/ 1 z)) y))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (- 1 z) (- (/ 1 z) (/ 1 (pow z 2)))) (* y z))) (/ 1 z)) (/ 1 (pow z 2))) y)) (/ 1 z)) y))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 1 z) 2) (- (/ 1 z) (/ 1 (pow z 2)))) (* y (pow z 2)))) (* -1 (/ (* (- 1 z) (- (/ 1 z) (/ 1 (pow z 2)))) z))) y)) (/ 1 z)) (/ 1 (pow z 2))) y)) (/ 1 z)) y))
1
(+ 1 (* z (- 1 y)))
(+ 1 (* z (- (+ 1 (* -1 (* z (* (- 1 y) (- y 1))))) y)))
(+ 1 (* z (- (+ 1 (* z (- (* z (* (- 1 y) (pow (- y 1) 2))) (* (- 1 y) (- y 1))))) y)))
(/ 1 (* z (- y 1)))
(/ (- (/ 1 (- y 1)) (/ 1 (* z (pow (- y 1) 2)))) z)
(/ (- (+ (/ 1 (* (pow z 2) (pow (- y 1) 3))) (/ 1 (- y 1))) (/ 1 (* z (pow (- y 1) 2)))) z)
(/ (- (+ (/ 1 (* (pow z 2) (pow (- y 1) 3))) (/ 1 (- y 1))) (+ (/ 1 (* z (pow (- y 1) 2))) (/ 1 (* (pow z 3) (pow (- y 1) 4))))) z)
(/ -1 (* z (- 1 y)))
(* -1 (/ (+ (/ 1 (* z (pow (- 1 y) 2))) (/ 1 (- 1 y))) z))
(* -1 (/ (+ (/ 1 (* z (pow (- 1 y) 2))) (+ (/ 1 (* (pow z 2) (pow (- 1 y) 3))) (/ 1 (- 1 y)))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* z (pow (- 1 y) 4))) (/ 1 (pow (- 1 y) 3))) z)) (/ 1 (pow (- 1 y) 2))) z)) (/ 1 (- 1 y))) z))
(- 1 z)
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(- (+ 1 (* y z)) z)
(- (+ 1 (* y z)) z)
(* y z)
(* y (- (/ 1 y) (+ (* -1 z) (/ z y))))
(* y (- (/ 1 y) (+ (* -1 z) (/ z y))))
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(* -1 (* y (- (* -1 (/ (- 1 z) y)) z)))
1
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z
(+ z (* -1 (* y z)))
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(* x (* y z))
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(+ (* -1 (* x z)) (* x (* y z)))
(+ (* -1 (* x z)) (* x (* y z)))
(+ (* -1 (* x z)) (* x (* y z)))
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(* y (+ (* -1 (/ (* x z) y)) (* x z)))
(* y (+ (* -1 (/ (* x z) y)) (* x z)))
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(* y (- 1 (/ 1 y)))
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Outputs
(* x (- 1 (* z (- 1 y))))
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(* 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)))))
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(* x (- 1 (* z (- 1 y))))
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(* 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)))
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(* x (* y z))
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(* y (+ (* x z) (/ (* x (- 1 z)) y)))
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(* y (+ (* x z) (/ (* x (- 1 z)) y)))
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(* 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))
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(* -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)))))
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x
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(+ x (* x (* z (- y 1))))
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(+ x (* x (* z (- y 1))))
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(* x (* z (- y 1)))
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(* z (+ (* x (- y 1)) (/ x z)))
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(* z (+ (* x (- y 1)) (/ x z)))
(*.f64 z (+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (/.f64 x z)))
(* z (+ (* x (- y 1)) (/ x z)))
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(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
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(/ 1 (- 1 z))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z))
(+ (* -1 (/ (* y z) (pow (- 1 z) 2))) (/ 1 (- 1 z)))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 (*.f64 z y) (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 z #s(literal -1 binary64)))))
(+ (* y (- (/ (* y (pow z 2)) (pow (- 1 z) 3)) (/ z (pow (- 1 z) 2)))) (/ 1 (- 1 z)))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)) (*.f64 y (+.f64 (/.f64 (/.f64 (*.f64 z (*.f64 z y)) (-.f64 #s(literal 1 binary64) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) (/.f64 z (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 z #s(literal -1 binary64)))))))
(+ (* y (- (* y (- (* -1 (/ (* y (pow z 3)) (pow (- 1 z) 4))) (* -1 (/ (pow z 2) (pow (- 1 z) 3))))) (/ z (pow (- 1 z) 2)))) (/ 1 (- 1 z)))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)) (*.f64 y (+.f64 (*.f64 y (-.f64 (/.f64 (/.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) (/.f64 (*.f64 z (*.f64 z (*.f64 z y))) (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 4 binary64))))) (/.f64 z (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 z #s(literal -1 binary64)))))))
(/ 1 (* y z))
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(/ (- (+ (/ 1 z) (/ 1 (* y z))) (/ 1 (* y (pow z 2)))) y)
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(/ (- (+ (* -1 (/ (* (- 1 z) (- (/ 1 z) (/ 1 (pow z 2)))) (* (pow y 2) z))) (+ (/ 1 z) (/ 1 (* y z)))) (/ 1 (* y (pow z 2)))) y)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal -1 binary64) (*.f64 z z))) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) z)) (+.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) y)) y)) y)
(/ (- (+ (/ 1 z) (+ (/ 1 (* y z)) (/ (* (pow (- 1 z) 2) (- (/ 1 z) (/ 1 (pow z 2)))) (* (pow y 3) (pow z 2))))) (+ (/ 1 (* y (pow z 2))) (/ (* (- 1 z) (- (/ 1 z) (/ 1 (pow z 2)))) (* (pow y 2) z)))) y)
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal -1 binary64) (*.f64 z z))) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) z)) (+.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) y)) y)) (/.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal -1 binary64) (*.f64 z z))) (+.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) (*.f64 y (*.f64 y y)))) y)
(/ 1 (* y z))
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(* -1 (/ (- (* -1 (/ (- (/ 1 z) (/ 1 (pow z 2))) y)) (/ 1 z)) y))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal -1 binary64) (*.f64 z z))) y)) y)
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (- 1 z) (- (/ 1 z) (/ 1 (pow z 2)))) (* y z))) (/ 1 z)) (/ 1 (pow z 2))) y)) (/ 1 z)) y))
(/.f64 (+.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal -1 binary64) (*.f64 z z))) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) z)) (+.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) y)) y) (/.f64 #s(literal 1 binary64) z)) y)
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 1 z) 2) (- (/ 1 z) (/ 1 (pow z 2)))) (* y (pow z 2)))) (* -1 (/ (* (- 1 z) (- (/ 1 z) (/ 1 (pow z 2)))) z))) y)) (/ 1 z)) (/ 1 (pow z 2))) y)) (/ 1 z)) y))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal -1 binary64) (*.f64 z z))) (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 z y))) (+.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))) y) (/.f64 #s(literal -1 binary64) (*.f64 z z)))) y) (/.f64 #s(literal 1 binary64) z)) y)
1
#s(literal 1 binary64)
(+ 1 (* z (- 1 y)))
(+.f64 #s(literal 1 binary64) (*.f64 z (-.f64 #s(literal 1 binary64) y)))
(+ 1 (* z (- (+ 1 (* -1 (* z (* (- 1 y) (- y 1))))) y)))
(+.f64 #s(literal 1 binary64) (*.f64 z (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (-.f64 #s(literal 1 binary64) y))) (-.f64 #s(literal 1 binary64) y))))
(+ 1 (* z (- (+ 1 (* z (- (* z (* (- 1 y) (pow (- y 1) 2))) (* (- 1 y) (- y 1))))) y)))
(+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 z (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (-.f64 #s(literal 1 binary64) y))) (-.f64 #s(literal 1 binary64) y)))) y))))
(/ 1 (* z (- y 1)))
(/.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y #s(literal -1 binary64))))
(/ (- (/ 1 (- y 1)) (/ 1 (* z (pow (- y 1) 2)))) z)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 z (-.f64 #s(literal 1 binary64) y))) (-.f64 #s(literal 1 binary64) y))) z)
(/ (- (+ (/ 1 (* (pow z 2) (pow (- y 1) 3))) (/ 1 (- y 1))) (/ 1 (* z (pow (- y 1) 2)))) z)
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 z (-.f64 #s(literal 1 binary64) y))) (-.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z (*.f64 z (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))))) z)
(/ (- (+ (/ 1 (* (pow z 2) (pow (- y 1) 3))) (/ 1 (- y 1))) (+ (/ 1 (* z (pow (- y 1) 2))) (/ 1 (* (pow z 3) (pow (- y 1) 4))))) z)
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 z (-.f64 #s(literal 1 binary64) y))) (-.f64 #s(literal 1 binary64) y))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z (*.f64 z (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) (*.f64 z (pow.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 4 binary64))))))) z)
(/ -1 (* z (- 1 y)))
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(* -1 (/ (+ (/ 1 (* z (pow (- 1 y) 2))) (/ 1 (- 1 y))) z))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 z (-.f64 #s(literal 1 binary64) y))) (-.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y))) z)
(* -1 (/ (+ (/ 1 (* z (pow (- 1 y) 2))) (+ (/ 1 (* (pow z 2) (pow (- 1 y) 3))) (/ 1 (- 1 y)))) z))
(/.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y #s(literal -1 binary64)))) (+.f64 y #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) y) (*.f64 z (*.f64 z (*.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 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y))) z) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 y #s(literal -1 binary64))))) z) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y))) z)
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-1
#s(literal -1 binary64)
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(- y 1)
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y
(* y (- 1 (/ 1 y)))
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y
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eval148.0ms (1.8%)

Compiler

Compiled 20752 to 2188 computations (89.5% saved)

prune132.0ms (1.6%)

Pruning

10 alts after pruning (4 fresh and 6 done)

PrunedKeptTotal
New102241026
Fresh101
Picked145
Done022
Total1024101034
Accuracy
100.0%
Counts
1034 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
38.6%
(/.f64 (*.f64 y z) (/.f64 #s(literal 1 binary64) x))
63.8%
(-.f64 x (*.f64 z x))
62.1%
(*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 x z))
41.7%
(*.f64 (*.f64 x z) y)
40.5%
(*.f64 z (/.f64 y (/.f64 #s(literal 1 binary64) x)))
40.5%
(*.f64 z (*.f64 x y))
96.6%
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
60.2%
(*.f64 x (*.f64 z (+.f64 y #s(literal -1 binary64))))
38.7%
(*.f64 x (*.f64 z y))
38.5%
x
Compiler

Compiled 88 to 59 computations (33% saved)

simplify97.0ms (1.2%)

Algorithm
egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff0
(*.f64 y z)
cost-diff128
(/.f64 (*.f64 y z) (/.f64 #s(literal 1 binary64) x))
cost-diff0
(*.f64 x z)
cost-diff0
(+.f64 y #s(literal -1 binary64))
cost-diff0
(*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 x z))
cost-diff0
(*.f64 x z)
cost-diff0
(*.f64 (*.f64 x z) y)
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff128
(/.f64 y (/.f64 #s(literal 1 binary64) x))
cost-diff128
(*.f64 z (/.f64 y (/.f64 #s(literal 1 binary64) x)))
Rules
2024×fnmadd-define
1796×sum3-define
1634×fma-define
1632×sum5-define
726×fmsub-define
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01460
13456
26056
311056
415756
519755
627055
741355
878455
9242055
10488055
11568055
12571055
0571055
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(* z (/ y (/ 1 x)))
z
(/ y (/ 1 x))
y
(/ 1 x)
1
x
(* (* x z) y)
(* x z)
x
z
y
(* (+ y -1) (* x z))
(+ y -1)
y
-1
(* x z)
x
z
(/ (* y z) (/ 1 x))
(* y z)
y
z
(/ 1 x)
1
x
Outputs
(* z (/ y (/ 1 x)))
(*.f64 z (*.f64 y x))
z
(/ y (/ 1 x))
(*.f64 y x)
y
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(* (* x z) y)
(*.f64 z (*.f64 y x))
(* x z)
(*.f64 z x)
x
z
y
(* (+ y -1) (* x z))
(*.f64 z (*.f64 x (+.f64 y #s(literal -1 binary64))))
(+ y -1)
(+.f64 y #s(literal -1 binary64))
y
-1
#s(literal -1 binary64)
(* x z)
(*.f64 z x)
x
z
(/ (* y z) (/ 1 x))
(*.f64 z (*.f64 y x))
(* y z)
(*.f64 z y)
y
z
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x

localize125.0ms (1.6%)

Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
accuracy100.0%
(*.f64 y z)
accuracy90.8%
(/.f64 (*.f64 y z) (/.f64 #s(literal 1 binary64) x))
accuracy100.0%
(+.f64 y #s(literal -1 binary64))
accuracy100.0%
(*.f64 x z)
accuracy97.2%
(*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 x z))
accuracy100.0%
(*.f64 x z)
accuracy93.8%
(*.f64 (*.f64 x z) y)
accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
accuracy99.7%
(/.f64 y (/.f64 #s(literal 1 binary64) x))
accuracy93.0%
(*.f64 z (/.f64 y (/.f64 #s(literal 1 binary64) x)))
Results
108.0ms256×0valid
Compiler

Compiled 68 to 15 computations (77.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-div: 10.0ms (47.6% of total)
ival-mult: 9.0ms (42.9% of total)
ival-add: 1.0ms (4.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series3.0ms (0%)

Counts
9 → 240
Calls
Call 1
Inputs
#<alt (* z (/ y (/ 1 x)))>
#<alt (/ y (/ 1 x))>
#<alt (/ 1 x)>
#<alt (* (* x z) y)>
#<alt (* x z)>
#<alt (* (+ y -1) (* x z))>
#<alt (+ y -1)>
#<alt (/ (* y z) (/ 1 x))>
#<alt (* y z)>
Outputs
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* -1 (* x z))>
#<alt (+ (* -1 (* x z)) (* x (* y z)))>
#<alt (+ (* -1 (* x z)) (* x (* y z)))>
#<alt (+ (* -1 (* x z)) (* x (* y z)))>
#<alt (* x (* y z))>
#<alt (* y (+ (* -1 (/ (* x z) y)) (* x z)))>
#<alt (* y (+ (* -1 (/ (* x z) y)) (* x z)))>
#<alt (* y (+ (* -1 (/ (* x z) y)) (* x z)))>
#<alt (* x (* y z))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (/ (* x z) y))))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (/ (* x z) y))))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (/ (* x z) y))))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt -1>
#<alt (- y 1)>
#<alt (- y 1)>
#<alt (- y 1)>
#<alt y>
#<alt (* y (- 1 (/ 1 y)))>
#<alt (* y (- 1 (/ 1 y)))>
#<alt (* y (- 1 (/ 1 y)))>
#<alt y>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* 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)>
Calls

60 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(/ 1 x)
0.0ms
z
@0
(* z (/ y (/ 1 x)))
0.0ms
y
@inf
(+ y -1)
0.0ms
y
@-inf
(/ (* y z) (/ 1 x))
0.0ms
y
@inf
(/ (* y z) (/ 1 x))

rewrite469.0ms (5.8%)

Algorithm
batch-egg-rewrite
Rules
4536×*-lowering-*.f32
4536×*-lowering-*.f64
3148×/-lowering-/.f32
3148×/-lowering-/.f64
2006×--lowering--.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01440
16636
233836
3282936
0943636
Stop Event
iter limit
node limit
Counts
9 → 590
Calls
Call 1
Inputs
(* z (/ y (/ 1 x)))
(/ y (/ 1 x))
(/ 1 x)
(* (* x z) y)
(* x z)
(* (+ y -1) (* x z))
(+ y -1)
(/ (* y z) (/ 1 x))
(* y z)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 y x)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 z (*.f64 y x)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 (*.f64 z (*.f64 y x)) #s(literal -1 binary64)))
(neg.f64 (/.f64 (*.f64 z (*.f64 y x)) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 y x)))))
(/.f64 z (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(/.f64 y (/.f64 #s(literal 1 binary64) (*.f64 z x)))
(/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 y x))))
(/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) z) y))
(/.f64 (*.f64 z x) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 z (*.f64 y x)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) z))
(/.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) y)))
(/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) y) #s(literal -1 binary64)))
(/.f64 (*.f64 z (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z x))))
(/.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 (/.f64 #s(literal -1 binary64) x) y))
(/.f64 (/.f64 (*.f64 z (*.f64 y x)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) y))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) z) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) y))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z)) (/.f64 (/.f64 #s(literal -1 binary64) x) y))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 z (-.f64 #s(literal 0 binary64) y))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 x (*.f64 z (-.f64 #s(literal 0 binary64) y))) #s(literal -1 binary64))
(/.f64 (/.f64 (*.f64 z y) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) z)) (/.f64 #s(literal -1 binary64) x)) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) z)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 z (*.f64 y x)))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 z y))) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) y)) (*.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 0 binary64) x))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) z))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 z (-.f64 #s(literal 0 binary64) y)))) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 z (*.f64 y x)) #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 z (-.f64 #s(literal 0 binary64) y)) (pow.f64 x #s(literal -1/2 binary64))))) (*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 x #s(literal -1/2 binary64))))
(pow.f64 (*.f64 z (*.f64 y x)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 y x))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 z (*.f64 y x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 y x))) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 y x)))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 y x))))) #s(literal -1 binary64))
(*.f64 z (*.f64 y x))
(*.f64 y (*.f64 z x))
(*.f64 #s(literal 1 binary64) (*.f64 z (*.f64 y x)))
(*.f64 x (*.f64 z y))
(*.f64 (*.f64 y x) z)
(*.f64 (*.f64 z x) y)
(*.f64 (*.f64 z (*.f64 y x)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (*.f64 y x)) #s(literal -1 binary64)))
(*.f64 (*.f64 z y) x)
(*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 z (-.f64 #s(literal 0 binary64) y)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 #s(literal 0 binary64) y))) #s(literal -1 binary64)))
(*.f64 (*.f64 z (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) x))
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 x (/.f64 z #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 z (/.f64 #s(literal -1 binary64) x)))
(*.f64 (-.f64 #s(literal 0 binary64) y) (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) z) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) y) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) z)) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 y (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 (*.f64 z (*.f64 y x)) #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 y (/.f64 #s(literal -1 binary64) x)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 z (-.f64 #s(literal 0 binary64) y))) (-.f64 #s(literal 0 binary64) x))
(*.f64 (/.f64 z (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 0 binary64) y))
(*.f64 (/.f64 z (pow.f64 x #s(literal -1/2 binary64))) (/.f64 y (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (/.f64 z (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (*.f64 z y) (pow.f64 x #s(literal -1/2 binary64))) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 z y)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) z) y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 z (*.f64 y x)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 z (*.f64 y x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) z) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) z) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 #s(literal 0 binary64) y))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))
(*.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 z y)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) z) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z)) #s(literal -1 binary64)) (/.f64 y (/.f64 #s(literal -1 binary64) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 #s(literal -1 binary64) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (/.f64 #s(literal -1 binary64) x)))
(neg.f64 (/.f64 y (/.f64 #s(literal -1 binary64) x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y x))))
(/.f64 y (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
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simplify277.0ms (3.4%)

Algorithm
egg-herbie
Rules
1952×fmsub-define
1940×*-lowering-*.f32
1940×*-lowering-*.f64
1924×fnmsub-define
1718×fmm-def
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0281154
1831055
22551055
36591022
428621022
579331022
080501022
Stop Event
iter limit
node limit
Counts
240 → 240
Calls
Call 1
Inputs
(* x (* y z))
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(* y (+ (* -1 (/ (* x z) y)) (* x z)))
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(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
-1
(- y 1)
(- y 1)
(- y 1)
y
(* y (- 1 (/ 1 y)))
(* y (- 1 (/ 1 y)))
(* y (- 1 (/ 1 y)))
y
(* -1 (* y (- (/ 1 y) 1)))
(* -1 (* y (- (/ 1 y) 1)))
(* -1 (* y (- (/ 1 y) 1)))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* 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)
Outputs
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* -1 (* x z))
(-.f64 #s(literal 0 binary64) (*.f64 x z))
(+ (* -1 (* x z)) (* x (* y z)))
(*.f64 z (*.f64 x (+.f64 y #s(literal -1 binary64))))
(+ (* -1 (* x z)) (* x (* y z)))
(*.f64 z (*.f64 x (+.f64 y #s(literal -1 binary64))))
(+ (* -1 (* x z)) (* x (* y z)))
(*.f64 z (*.f64 x (+.f64 y #s(literal -1 binary64))))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* y (+ (* -1 (/ (* x z) y)) (* x z)))
(*.f64 z (*.f64 x (+.f64 y #s(literal -1 binary64))))
(* y (+ (* -1 (/ (* x z) y)) (* x z)))
(*.f64 z (*.f64 x (+.f64 y #s(literal -1 binary64))))
(* y (+ (* -1 (/ (* x z) y)) (* x z)))
(*.f64 z (*.f64 x (+.f64 y #s(literal -1 binary64))))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* -1 (* y (+ (* -1 (* x z)) (/ (* x z) y))))
(*.f64 z (*.f64 x (+.f64 y #s(literal -1 binary64))))
(* -1 (* y (+ (* -1 (* x z)) (/ (* x z) y))))
(*.f64 z (*.f64 x (+.f64 y #s(literal -1 binary64))))
(* -1 (* y (+ (* -1 (* x z)) (/ (* x z) y))))
(*.f64 z (*.f64 x (+.f64 y #s(literal -1 binary64))))
(* x (* z (- y 1)))
(*.f64 z (*.f64 x (+.f64 y #s(literal -1 binary64))))
(* x (* z (- y 1)))
(*.f64 z (*.f64 x (+.f64 y #s(literal -1 binary64))))
(* x (* z (- y 1)))
(*.f64 z (*.f64 x (+.f64 y #s(literal -1 binary64))))
(* x (* z (- y 1)))
(*.f64 z (*.f64 x (+.f64 y #s(literal -1 binary64))))
(* x (* z (- y 1)))
(*.f64 z (*.f64 x (+.f64 y #s(literal -1 binary64))))
(* x (* z (- y 1)))
(*.f64 z (*.f64 x (+.f64 y #s(literal -1 binary64))))
(* x (* z (- y 1)))
(*.f64 z (*.f64 x (+.f64 y #s(literal -1 binary64))))
(* x (* z (- y 1)))
(*.f64 z (*.f64 x (+.f64 y #s(literal -1 binary64))))
(* x (* z (- y 1)))
(*.f64 z (*.f64 x (+.f64 y #s(literal -1 binary64))))
(* x (* z (- y 1)))
(*.f64 z (*.f64 x (+.f64 y #s(literal -1 binary64))))
(* x (* z (- y 1)))
(*.f64 z (*.f64 x (+.f64 y #s(literal -1 binary64))))
(* x (* z (- y 1)))
(*.f64 z (*.f64 x (+.f64 y #s(literal -1 binary64))))
(* x (* z (- y 1)))
(*.f64 z (*.f64 x (+.f64 y #s(literal -1 binary64))))
(* x (* z (- y 1)))
(*.f64 z (*.f64 x (+.f64 y #s(literal -1 binary64))))
(* x (* z (- y 1)))
(*.f64 z (*.f64 x (+.f64 y #s(literal -1 binary64))))
(* x (* z (- y 1)))
(*.f64 z (*.f64 x (+.f64 y #s(literal -1 binary64))))
(* x (* z (- y 1)))
(*.f64 z (*.f64 x (+.f64 y #s(literal -1 binary64))))
(* x (* z (- y 1)))
(*.f64 z (*.f64 x (+.f64 y #s(literal -1 binary64))))
(* x (* z (- y 1)))
(*.f64 z (*.f64 x (+.f64 y #s(literal -1 binary64))))
(* x (* z (- y 1)))
(*.f64 z (*.f64 x (+.f64 y #s(literal -1 binary64))))
(* x (* z (- y 1)))
(*.f64 z (*.f64 x (+.f64 y #s(literal -1 binary64))))
(* x (* z (- y 1)))
(*.f64 z (*.f64 x (+.f64 y #s(literal -1 binary64))))
(* x (* z (- y 1)))
(*.f64 z (*.f64 x (+.f64 y #s(literal -1 binary64))))
(* x (* z (- y 1)))
(*.f64 z (*.f64 x (+.f64 y #s(literal -1 binary64))))
-1
#s(literal -1 binary64)
(- y 1)
(+.f64 y #s(literal -1 binary64))
(- y 1)
(+.f64 y #s(literal -1 binary64))
(- y 1)
(+.f64 y #s(literal -1 binary64))
y
(* y (- 1 (/ 1 y)))
(+.f64 y #s(literal -1 binary64))
(* y (- 1 (/ 1 y)))
(+.f64 y #s(literal -1 binary64))
(* y (- 1 (/ 1 y)))
(+.f64 y #s(literal -1 binary64))
y
(* -1 (* y (- (/ 1 y) 1)))
(+.f64 y #s(literal -1 binary64))
(* -1 (* y (- (/ 1 y) 1)))
(+.f64 y #s(literal -1 binary64))
(* -1 (* y (- (/ 1 y) 1)))
(+.f64 y #s(literal -1 binary64))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)

eval168.0ms (2.1%)

Compiler

Compiled 10735 to 1215 computations (88.7% saved)

prune84.0ms (1%)

Pruning

11 alts after pruning (2 fresh and 9 done)

PrunedKeptTotal
New9172919
Fresh000
Picked134
Done066
Total91811929
Accuracy
100.0%
Counts
929 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.1%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) (*.f64 z (*.f64 y x)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) #s(literal -1 binary64)))
38.6%
(/.f64 (*.f64 y z) (/.f64 #s(literal 1 binary64) x))
63.8%
(-.f64 x (*.f64 z x))
41.7%
(*.f64 (/.f64 z (/.f64 #s(literal 1 binary64) x)) y)
62.1%
(*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 x z))
41.7%
(*.f64 (*.f64 x z) y)
40.5%
(*.f64 z (*.f64 x y))
96.6%
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
60.2%
(*.f64 x (*.f64 z (+.f64 y #s(literal -1 binary64))))
38.7%
(*.f64 x (*.f64 z y))
38.5%
x
Compiler

Compiled 333 to 135 computations (59.5% saved)

regimes72.0ms (0.9%)

Counts
20 → 2
Calls
Call 1
Inputs
x
(*.f64 x (*.f64 z y))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(*.f64 z (*.f64 x y))
(*.f64 (*.f64 x z) y)
(-.f64 x (*.f64 z x))
(*.f64 x (*.f64 z (+.f64 y #s(literal -1 binary64))))
(*.f64 z (/.f64 y (/.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 x z) (+.f64 y #s(literal -1 binary64)))
(*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 x z))
(*.f64 (/.f64 z (/.f64 #s(literal 1 binary64) x)) y)
(/.f64 (*.f64 y z) (/.f64 #s(literal 1 binary64) x))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
(-.f64 x (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) x))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 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 (/.f64 #s(literal 1 binary64) (*.f64 z x)) (*.f64 z (*.f64 y x)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) #s(literal -1 binary64)))
(*.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 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) (*.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))))))
Outputs
(*.f64 z (*.f64 x y))
(-.f64 x (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) x))
Calls

7 calls:

33.0ms
x
7.0ms
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
7.0ms
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
6.0ms
z
6.0ms
y
Results
AccuracySegmentsBranch
96.6%1x
96.6%1y
99.1%2z
99.5%2(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
99.5%2(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
99.5%2(*.f64 (-.f64 #s(literal 1 binary64) y) z)
96.6%1(-.f64 #s(literal 1 binary64) y)
Compiler

Compiled 48 to 35 computations (27.1% saved)

regimes22.0ms (0.3%)

Counts
13 → 2
Calls
Call 1
Inputs
x
(*.f64 x (*.f64 z y))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(*.f64 z (*.f64 x y))
(*.f64 (*.f64 x z) y)
(-.f64 x (*.f64 z x))
(*.f64 x (*.f64 z (+.f64 y #s(literal -1 binary64))))
(*.f64 z (/.f64 y (/.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 x z) (+.f64 y #s(literal -1 binary64)))
(*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 x z))
(*.f64 (/.f64 z (/.f64 #s(literal 1 binary64) x)) y)
(/.f64 (*.f64 y z) (/.f64 #s(literal 1 binary64) x))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
Outputs
(*.f64 z (*.f64 x y))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
Calls

3 calls:

12.0ms
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
4.0ms
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
4.0ms
(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
Results
AccuracySegmentsBranch
99.5%2(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
99.5%2(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
99.5%2(*.f64 (-.f64 #s(literal 1 binary64) y) z)
Compiler

Compiled 30 to 21 computations (30% saved)

regimes14.0ms (0.2%)

Counts
12 → 3
Calls
Call 1
Inputs
x
(*.f64 x (*.f64 z y))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(*.f64 z (*.f64 x y))
(*.f64 (*.f64 x z) y)
(-.f64 x (*.f64 z x))
(*.f64 x (*.f64 z (+.f64 y #s(literal -1 binary64))))
(*.f64 z (/.f64 y (/.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 x z) (+.f64 y #s(literal -1 binary64)))
(*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 x z))
(*.f64 (/.f64 z (/.f64 #s(literal 1 binary64) x)) y)
(/.f64 (*.f64 y z) (/.f64 #s(literal 1 binary64) x))
Outputs
(*.f64 z (*.f64 x y))
(-.f64 x (*.f64 z x))
(*.f64 x (*.f64 z (+.f64 y #s(literal -1 binary64))))
Calls

3 calls:

5.0ms
x
4.0ms
z
4.0ms
y
Results
AccuracySegmentsBranch
70.0%2x
90.1%3y
89.8%3z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes3.0ms (0%)

Counts
6 → 3
Calls
Call 1
Inputs
x
(*.f64 x (*.f64 z y))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(*.f64 z (*.f64 x y))
(*.f64 (*.f64 x z) y)
(-.f64 x (*.f64 z x))
Outputs
(*.f64 z (*.f64 x y))
(-.f64 x (*.f64 z x))
(*.f64 x (*.f64 z y))
Calls

1 calls:

3.0ms
y
Results
AccuracySegmentsBranch
89.9%3y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes3.0ms (0%)

Counts
5 → 3
Calls
Call 1
Inputs
x
(*.f64 x (*.f64 z y))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(*.f64 z (*.f64 x y))
(*.f64 (*.f64 x z) y)
Outputs
(*.f64 z (*.f64 x y))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(*.f64 x (*.f64 z y))
Calls

1 calls:

2.0ms
y
Results
AccuracySegmentsBranch
89.8%3y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes6.0ms (0.1%)

Counts
3 → 3
Calls
Call 1
Inputs
x
(*.f64 x (*.f64 z y))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
Outputs
(*.f64 x (*.f64 z y))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(*.f64 x (*.f64 z y))
Calls

2 calls:

4.0ms
z
2.0ms
y
Results
AccuracySegmentsBranch
66.1%2z
87.6%3y
Compiler

Compiled 8 to 6 computations (25% saved)

regimes5.0ms (0.1%)

Counts
2 → 3
Calls
Call 1
Inputs
x
(*.f64 x (*.f64 z y))
Outputs
(*.f64 x (*.f64 z y))
x
(*.f64 x (*.f64 z y))
Calls

3 calls:

2.0ms
z
2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
65.2%3z
47.3%4x
64.3%3y
Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
x
Outputs
x
Calls

3 calls:

1.0ms
z
1.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
38.5%1x
38.5%1y
38.5%1z
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-1.0610185185083068e+308
-3.9157982017961675e+301
Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-1.0610185185083068e+308
-3.9157982017961675e+301
Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch33.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
0.011519811241562473
195.2006309591807
15.0ms
-1.7066676792917313e+35
-9.318921429517332e+27
Results
22.0ms272×0valid
Compiler

Compiled 340 to 233 computations (31.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-sub: 7.0ms (64.1% of total)
ival-mult: 4.0ms (36.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch42.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
0.011519811241562473
195.2006309591807
25.0ms
-1.7066676792917313e+35
-9.318921429517332e+27
Results
17.0ms272×0valid
Compiler

Compiled 324 to 217 computations (33% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 4.0ms (54.1% of total)
ival-sub: 3.0ms (40.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch29.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
0.011519811241562473
195.2006309591807
14.0ms
-1.7066676792917313e+35
-9.318921429517332e+27
Results
18.0ms272×0valid
Compiler

Compiled 324 to 234 computations (27.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 5.0ms (58.9% of total)
ival-sub: 3.0ms (35.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch30.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
0.011519811241562473
195.2006309591807
15.0ms
-1.7066676792917313e+35
-9.318921429517332e+27
Results
19.0ms272×0valid
Compiler

Compiled 324 to 234 computations (27.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-sub: 4.0ms (46% of total)
ival-mult: 4.0ms (46% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch22.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
10.0ms
1.9686844942394978e-80
3.436546753453842e-79
10.0ms
-3.3938456904453444e-25
-2.006469785029799e-25
Results
14.0ms176×0valid
Compiler

Compiled 172 to 123 computations (28.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-sub: 2.0ms (41.9% of total)
ival-mult: 2.0ms (41.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify35.0ms (0.4%)

Algorithm
egg-herbie
Rules
202×distribute-lft-neg-in_binary64
172×unsub-neg_binary64
124×neg-mul-1_binary64
88×neg-sub0_binary64
72×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056150
194150
2127150
3150150
4188150
5232150
6276150
7345150
8441150
9519150
10584150
11634150
12668150
13680150
14682150
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal -100000000000000001097906362944045541740492309677311846336810682903157585404911491537163328978494688899061249669721172515611590283743140088328307009198146046031271664502933027185697489699588559043338384466165001178426897626212945177628091195786707458122783970171784415105291802893207873272974885715430223118336 binary64)) (*.f64 z (*.f64 x y)) (-.f64 x (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) x)))
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal -100000000000000001097906362944045541740492309677311846336810682903157585404911491537163328978494688899061249669721172515611590283743140088328307009198146046031271664502933027185697489699588559043338384466165001178426897626212945177628091195786707458122783970171784415105291802893207873272974885715430223118336 binary64)) (*.f64 z (*.f64 x y)) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))))
(if (<=.f64 y #s(literal -9800000000000000273682316897812480 binary64)) (*.f64 z (*.f64 x y)) (if (<=.f64 y #s(literal 7385903388887613/9007199254740992 binary64)) (-.f64 x (*.f64 z x)) (*.f64 x (*.f64 z (+.f64 y #s(literal -1 binary64))))))
(if (<=.f64 y #s(literal -619999999999999986432769542586368 binary64)) (*.f64 z (*.f64 x y)) (if (<=.f64 y #s(literal 25/2 binary64)) (-.f64 x (*.f64 z x)) (*.f64 x (*.f64 z y))))
(if (<=.f64 y #s(literal -55000000000000000249229435994112 binary64)) (*.f64 z (*.f64 x y)) (if (<=.f64 y #s(literal 190 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 x (*.f64 z y))))
(if (<=.f64 y #s(literal -205000000000000016742722043904 binary64)) (*.f64 x (*.f64 z y)) (if (<=.f64 y #s(literal 165 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 x (*.f64 z y))))
(if (<=.f64 z #s(literal -7295653946784921/21778071482940061661655974875633165533184 binary64)) (*.f64 x (*.f64 z y)) (if (<=.f64 z #s(literal 1368366694886833/16687398718132110018711107079449625895333629080911349765211262561111091607661254297054391304192 binary64)) x (*.f64 x (*.f64 z y))))
x
Outputs
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal -100000000000000001097906362944045541740492309677311846336810682903157585404911491537163328978494688899061249669721172515611590283743140088328307009198146046031271664502933027185697489699588559043338384466165001178426897626212945177628091195786707458122783970171784415105291802893207873272974885715430223118336 binary64)) (*.f64 z (*.f64 x y)) (-.f64 x (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) x)))
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal -100000000000000001097906362944045541740492309677311846336810682903157585404911491537163328978494688899061249669721172515611590283743140088328307009198146046031271664502933027185697489699588559043338384466165001178426897626212945177628091195786707458122783970171784415105291802893207873272974885715430223118336 binary64)) (*.f64 z (*.f64 y x)) (+.f64 x (*.f64 x (*.f64 z (+.f64 y #s(literal -1 binary64))))))
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal -100000000000000001097906362944045541740492309677311846336810682903157585404911491537163328978494688899061249669721172515611590283743140088328307009198146046031271664502933027185697489699588559043338384466165001178426897626212945177628091195786707458122783970171784415105291802893207873272974885715430223118336 binary64)) (*.f64 z (*.f64 x y)) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))))
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal -100000000000000001097906362944045541740492309677311846336810682903157585404911491537163328978494688899061249669721172515611590283743140088328307009198146046031271664502933027185697489699588559043338384466165001178426897626212945177628091195786707458122783970171784415105291802893207873272974885715430223118336 binary64)) (*.f64 z (*.f64 y x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y #s(literal -1 binary64))))))
(if (<=.f64 y #s(literal -9800000000000000273682316897812480 binary64)) (*.f64 z (*.f64 x y)) (if (<=.f64 y #s(literal 7385903388887613/9007199254740992 binary64)) (-.f64 x (*.f64 z x)) (*.f64 x (*.f64 z (+.f64 y #s(literal -1 binary64))))))
(if (<=.f64 y #s(literal -9800000000000000273682316897812480 binary64)) (*.f64 z (*.f64 y x)) (if (<=.f64 y #s(literal 7385903388887613/9007199254740992 binary64)) (-.f64 x (*.f64 z x)) (*.f64 x (*.f64 z (+.f64 y #s(literal -1 binary64))))))
(if (<=.f64 y #s(literal -619999999999999986432769542586368 binary64)) (*.f64 z (*.f64 x y)) (if (<=.f64 y #s(literal 25/2 binary64)) (-.f64 x (*.f64 z x)) (*.f64 x (*.f64 z y))))
(if (<=.f64 y #s(literal -619999999999999986432769542586368 binary64)) (*.f64 z (*.f64 y x)) (if (<=.f64 y #s(literal 25/2 binary64)) (-.f64 x (*.f64 z x)) (*.f64 x (*.f64 y z))))
(if (<=.f64 y #s(literal -55000000000000000249229435994112 binary64)) (*.f64 z (*.f64 x y)) (if (<=.f64 y #s(literal 190 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 x (*.f64 z y))))
(if (<=.f64 y #s(literal -55000000000000000249229435994112 binary64)) (*.f64 z (*.f64 y x)) (if (<=.f64 y #s(literal 190 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 x (*.f64 y z))))
(if (<=.f64 y #s(literal -205000000000000016742722043904 binary64)) (*.f64 x (*.f64 z y)) (if (<=.f64 y #s(literal 165 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 x (*.f64 z y))))
(if (<=.f64 y #s(literal -205000000000000016742722043904 binary64)) (*.f64 x (*.f64 y z)) (if (<=.f64 y #s(literal 165 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 x (*.f64 y z))))
(if (<=.f64 z #s(literal -7295653946784921/21778071482940061661655974875633165533184 binary64)) (*.f64 x (*.f64 z y)) (if (<=.f64 z #s(literal 1368366694886833/16687398718132110018711107079449625895333629080911349765211262561111091607661254297054391304192 binary64)) x (*.f64 x (*.f64 z y))))
(if (<=.f64 z #s(literal -7295653946784921/21778071482940061661655974875633165533184 binary64)) (*.f64 x (*.f64 y z)) (if (<=.f64 z #s(literal 1368366694886833/16687398718132110018711107079449625895333629080911349765211262561111091607661254297054391304192 binary64)) x (*.f64 x (*.f64 y z))))
x

soundness1.1s (14%)

Rules
4488×*-lowering-*.f32
4488×*-lowering-*.f64
2146×+-lowering-+.f64
2146×+-lowering-+.f32
2120×*-lowering-*.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0824
14224
233022
3390520
0819120
074613
1245519
2711489
31876488
46536488
08087488
04904621
117523886
266733871
080043871
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 379 to 199 computations (47.5% saved)

preprocess88.0ms (1.1%)

Remove

(negabs x)

Compiler

Compiled 512 to 204 computations (60.2% saved)

end0.0ms (0%)

Profiling

Loading profile data...