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

Time bar (total: 5.3s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
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 9 to 9 computations (0% saved)

sample1.6s (30.1%)

Memory
7.8MiB live, 1 275.8MiB allocated
Samples
1.2s8 252×0valid
0.0ms1valid
0.0ms2valid
Precisions
Click to see histograms. Total time spent on operations: 247.0ms
ival-mult: 109.0ms (44.2% of total)
ival-add: 80.0ms (32.4% of total)
ival-sub: 42.0ms (17% of total)
ival-true: 6.0ms (2.4% of total)
exact: 5.0ms (2% of total)
ival-assert: 3.0ms (1.2% of total)
adjust: 2.0ms (0.8% of total)
Bogosity

explain82.0ms (1.5%)

Memory
-32.1MiB live, 157.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
00-0-y
00-0-(-.f64 #s(literal 1 binary64) z)
00-0-#s(literal 1 binary64)
00-0-(+.f64 x y)
00-0-z
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
43.0ms510×0valid
0.0ms1valid
Compiler

Compiled 45 to 25 computations (44.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-add: 3.0ms (30.1% of total)
ival-mult: 3.0ms (30.1% of total)
ival-sub: 3.0ms (30.1% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess34.0ms (0.7%)

Memory
1.9MiB live, 46.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02670
15070
210870
323666
437066
550566
661166
772966
878566
982566
1084566
077
0107
1147
2227
3357
4567
5857
61057
71377
81557
91757
101857
01857
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
Outputs
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
Symmetry

(sort x y)

Compiler

Compiled 7 to 7 computations (0% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
Compiler

Compiled 7 to 7 computations (0% saved)

simplify6.0ms (0.1%)

Memory
13.6MiB live, 13.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
01017
11417
22217
33517
45617
58517
610517
713717
815517
917517
1018517
018517
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(+.f64 x y)
x
y
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
Outputs
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(+.f64 x y)
(+.f64 y x)
x
y
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z

localize17.0ms (0.3%)

Memory
20.3MiB live, 20.3MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 #s(literal 1 binary64) z)
accuracy0.0
(+.f64 x y)
accuracy0.0078125
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
Samples
12.0ms255×0valid
0.0ms1valid
Compiler

Compiled 19 to 9 computations (52.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-add: 2.0ms (40.5% of total)
ival-mult: 2.0ms (40.5% of total)
ival-sub: 1.0ms (20.3% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
4.2MiB live, 4.2MiB allocated
Counts
3 → 23
Calls
Call 1
Inputs
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(+.f64 x y)
(-.f64 #s(literal 1 binary64) z)
Outputs
(* y (- 1 z))
(+ (* x (- 1 z)) (* y (- 1 z)))
y
(+ x y)
(* x (- 1 z))
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z))
x
(* x (+ 1 (/ y x)))
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x)))))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z))
(* y (+ 1 (/ x y)))
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y)))))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+ x (+ y (* -1 (* z (+ x y)))))
1
(+ 1 (* -1 z))
(* -1 (* z (+ x y)))
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(* -1 z)
(* z (- (/ 1 z) 1))
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))
(* -1 (* z (- 1 (/ 1 z))))
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@inf
((* (+ x y) (- 1 z)) (+ x y) (- 1 z))
1.0ms
y
@-inf
((* (+ x y) (- 1 z)) (+ x y) (- 1 z))
0.0ms
x
@-inf
((* (+ x y) (- 1 z)) (+ x y) (- 1 z))
0.0ms
z
@-inf
((* (+ x y) (- 1 z)) (+ x y) (- 1 z))
0.0ms
y
@inf
((* (+ x y) (- 1 z)) (+ x y) (- 1 z))

simplify205.0ms (3.9%)

Memory
-18.2MiB live, 222.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
065123
1220122
2773122
32468122
46395122
08148122
Stop Event
iter limit
node limit
Counts
23 → 21
Calls
Call 1
Inputs
(* y (- 1 z))
(+ (* x (- 1 z)) (* y (- 1 z)))
y
(+ x y)
(* x (- 1 z))
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z))
x
(* x (+ 1 (/ y x)))
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x)))))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z))
(* y (+ 1 (/ x y)))
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y)))))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+ x (+ y (* -1 (* z (+ x y)))))
1
(+ 1 (* -1 z))
(* -1 (* z (+ x y)))
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(* -1 z)
(* z (- (/ 1 z) 1))
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))
(* -1 (* z (- 1 (/ 1 z))))
Outputs
(* y (- 1 z))
(*.f64 (-.f64 #s(literal 1 binary64) z) y)
(+ (* x (- 1 z)) (* y (- 1 z)))
(*.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z))
y
(+ x y)
(+.f64 y x)
(* x (- 1 z))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z))
(*.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z))
x
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x)))))
(*.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)))
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z))
(*.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z))
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y)))))
(*.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)))
(+ x (+ y (* -1 (* z (+ x y)))))
(*.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z))
1
#s(literal 1 binary64)
(+ 1 (* -1 z))
(-.f64 #s(literal 1 binary64) z)
(* -1 (* z (+ x y)))
(*.f64 (neg.f64 z) (+.f64 y x))
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(*.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z))
(* -1 z)
(neg.f64 z)
(* z (- (/ 1 z) 1))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) z)
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))
(*.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z))
(* -1 (* z (- 1 (/ 1 z))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) (neg.f64 z))

rewrite208.0ms (3.9%)

Memory
21.8MiB live, 209.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
01013
14013
228113
3324813
0987313
Stop Event
iter limit
node limit
iter limit
Counts
3 → 416
Calls
Call 1
Inputs
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(+.f64 x y)
(-.f64 #s(literal 1 binary64) z)
Outputs
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (+.f64 y x)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (+.f64 y x)) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (-.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 y x)) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 z z z) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 z z z)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 y x)) (+.f64 (pow.f64 (fma.f64 z z z) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 z z z) (-.f64 (fma.f64 z z z) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (-.f64 y x) y)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 y x) y) (-.f64 (*.f64 (-.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 x y) (+.f64 y x))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y (+.f64 y x) (*.f64 x x)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 x y) (+.f64 y x))) (*.f64 (-.f64 x y) (+.f64 y x))) (+.f64 y x))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 (+.f64 y x) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (*.f64 (-.f64 x y) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 x y))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) z) (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (/.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 x y)))
(*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 x y))))
(*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (*.f64 (-.f64 x y) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) z) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(*.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 z z)) (+.f64 y x))) (-.f64 #s(literal 1 binary64) z))
(/.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (+.f64 y x))) (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 #s(literal 1 binary64) z))) (neg.f64 (-.f64 y x)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (+.f64 y x) (-.f64 y x)))) (neg.f64 (-.f64 y x)))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal -1 binary64) (*.f64 z z)))) (-.f64 #s(literal 1 binary64) z))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) (*.f64 (-.f64 #s(literal 1 binary64) z) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) (*.f64 (-.f64 #s(literal 1 binary64) z) x))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) y))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (+.f64 y x)))) (-.f64 #s(literal 1 binary64) z))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 y x)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 x y) (+.f64 y x))))) (-.f64 x y))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 (-.f64 x y) (+.f64 y x))))) (neg.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 x y)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (*.f64 (-.f64 x y) (+.f64 y x))))) (neg.f64 (neg.f64 (*.f64 (-.f64 x y) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (fma.f64 (-.f64 y x) y (*.f64 x x))))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 z z)) (*.f64 (+.f64 y x) (-.f64 y x)))) (neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64)) (-.f64 y x))))
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(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 z z z) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 z z z)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 z z z) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 z z z) (-.f64 (fma.f64 z z z) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 z z) #s(literal 1 binary64))) (neg.f64 (-.f64 z #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (pow.f64 (*.f64 z (/.f64 z (-.f64 #s(literal 1 binary64) z))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (*.f64 z (/.f64 z (-.f64 #s(literal 1 binary64) z))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) #s(literal 2 binary64)))) (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64)) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (+.f64 (pow.f64 (*.f64 z (/.f64 z (-.f64 #s(literal 1 binary64) z))) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (*.f64 z (/.f64 z (-.f64 #s(literal 1 binary64) z))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) #s(literal -3 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 z z)))) (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 z z)))) (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) (pow.f64 z #s(literal 3 binary64))))) (neg.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64)) (*.f64 (neg.f64 z) z))) (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (*.f64 (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64)) (*.f64 z z))) (*.f64 (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) z)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (neg.f64 z) z))) (*.f64 (-.f64 #s(literal 1 binary64) z) (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))) (*.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) (*.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))))
(/.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z) (*.f64 (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64)) (*.f64 (neg.f64 z) z))) (*.f64 (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) z)))
(/.f64 (fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (neg.f64 z) z))) (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) (*.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) (*.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))))
(/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) z)) (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (pow.f64 (*.f64 z (/.f64 z (-.f64 #s(literal 1 binary64) z))) #s(literal 2 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (*.f64 z (/.f64 z (-.f64 #s(literal 1 binary64) z)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) z))
(/.f64 (-.f64 (*.f64 z z) #s(literal 1 binary64)) (-.f64 z #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64)) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (+.f64 (pow.f64 (*.f64 z (/.f64 z (-.f64 #s(literal 1 binary64) z))) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (*.f64 z (/.f64 z (-.f64 #s(literal 1 binary64) z)))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) #s(literal -3 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) z))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64)))) (neg.f64 (*.f64 (+.f64 (fma.f64 z z (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) z))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64)))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 9 binary64)))) (neg.f64 (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 z z))) (-.f64 #s(literal 1 binary64) z))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 z z))) (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) z)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) (*.f64 (+.f64 (fma.f64 z z (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) z)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 9 binary64))) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 z z)) (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (-.f64 #s(literal 1 binary64) z))
(neg.f64 (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64)))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 z))) (sqrt.f64 (neg.f64 (neg.f64 z))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (neg.f64 z)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (+.f64 #s(literal -1 binary64) (*.f64 z z))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 z) z) (-.f64 #s(literal 1 binary64) z)))
(fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 z) z) (-.f64 #s(literal 1 binary64) z)))
(fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 z) z) (-.f64 #s(literal 1 binary64) z)))
(fma.f64 (pow.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 z z)) (+.f64 #s(literal -1 binary64) (*.f64 z z))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 z) z) (-.f64 #s(literal 1 binary64) z)))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 (neg.f64 z) z) (-.f64 #s(literal 1 binary64) z)))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 z z z) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 z z z)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))))
(fma.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 z z z) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 z z z) (-.f64 (fma.f64 z z z) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) (/.f64 (*.f64 (neg.f64 z) z) (-.f64 #s(literal 1 binary64) z)))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 z) z) (-.f64 #s(literal 1 binary64) z)))
(fma.f64 z #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) z #s(literal 1 binary64))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (*.f64 z (/.f64 z (-.f64 #s(literal 1 binary64) z))))
(-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (neg.f64 z))
(-.f64 #s(literal 1 binary64) z)
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 z) z) (-.f64 #s(literal 1 binary64) z)))
(+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))))
(+.f64 z #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 z))
(+.f64 #s(literal 1 binary64) z)

eval58.0ms (1.1%)

Memory
-15.3MiB live, 116.2MiB allocated
Compiler

Compiled 12 423 to 1 321 computations (89.4% saved)

prune144.0ms (2.7%)

Memory
-32.3MiB live, 30.8MiB allocated
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New4226428
Fresh000
Picked011
Done000
Total4227429
Accuracy
100.0%
Counts
429 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
64.5%
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 y x)) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 z z z) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 z z z)))
66.3%
(*.f64 (-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x))) (-.f64 #s(literal 1 binary64) z))
100.0%
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
46.1%
(*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z)))
53.7%
(*.f64 (+.f64 x y) #s(approx (- 1 z) #s(literal 1 binary64)))
53.4%
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y))
48.7%
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
Compiler

Compiled 185 to 143 computations (22.7% saved)

simplify193.0ms (3.7%)

Memory
28.1MiB live, 213.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 z)
cost-diff0
#s(approx (- 1 z) (neg.f64 z))
cost-diff0
(+.f64 x y)
cost-diff0
(*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z)))
cost-diff0
#s(approx (- 1 z) #s(literal 1 binary64))
cost-diff0
(+.f64 x y)
cost-diff0
(*.f64 (+.f64 x y) #s(approx (- 1 z) #s(literal 1 binary64)))
cost-diff0
(-.f64 #s(literal 1 binary64) z)
cost-diff0
(*.f64 (-.f64 #s(literal 1 binary64) z) y)
cost-diff0
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y))
cost-diff0
(-.f64 #s(literal 1 binary64) z)
cost-diff0
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
cost-diff0
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
cost-diff0
(*.f64 y y)
cost-diff0
(/.f64 (*.f64 y y) (-.f64 y x))
cost-diff0
(*.f64 (-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x))) (-.f64 #s(literal 1 binary64) z))
cost-diff12
(-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)))
Iterations

Useful iterations: 8 (0.0ms)

IterNodesCost
025156
040180
161180
2117180
3227168
4449164
5844164
61329164
71936140
84150132
97918132
08238132
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x))) (-.f64 #s(literal 1 binary64) z))
(-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)))
(/.f64 (*.f64 y y) (-.f64 y x))
(*.f64 y y)
y
(-.f64 y x)
x
(/.f64 (*.f64 x x) (-.f64 y x))
(*.f64 x x)
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
x
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y))
(*.f64 (-.f64 #s(literal 1 binary64) z) y)
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
y
(*.f64 (+.f64 x y) #s(approx (- 1 z) #s(literal 1 binary64)))
(+.f64 x y)
x
y
#s(approx (- 1 z) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z)))
(+.f64 x y)
x
y
#s(approx (- 1 z) (neg.f64 z))
(neg.f64 z)
z
Outputs
(*.f64 (-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x))) (-.f64 #s(literal 1 binary64) z))
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)))
(+.f64 x y)
(/.f64 (*.f64 y y) (-.f64 y x))
(*.f64 (/.f64 y (-.f64 y x)) y)
(*.f64 y y)
y
(-.f64 y x)
x
(/.f64 (*.f64 x x) (-.f64 y x))
(*.f64 (/.f64 x (-.f64 y x)) x)
(*.f64 x x)
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
x
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y))
(*.f64 (-.f64 #s(literal 1 binary64) z) y)
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
y
(*.f64 (+.f64 x y) #s(approx (- 1 z) #s(literal 1 binary64)))
(*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) (+.f64 x y))
(+.f64 x y)
x
y
#s(approx (- 1 z) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z)))
(*.f64 #s(approx (- 1 z) (neg.f64 z)) (+.f64 x y))
(+.f64 x y)
x
y
#s(approx (- 1 z) (neg.f64 z))
(neg.f64 z)
z

localize91.0ms (1.7%)

Memory
9.3MiB live, 145.4MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 x y)
accuracy0.0
(neg.f64 z)
accuracy0.00390625
(*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z)))
accuracy34.16215250196002
#s(approx (- 1 z) (neg.f64 z))
accuracy0.0
(+.f64 x y)
accuracy0.00390625
(*.f64 (+.f64 x y) #s(approx (- 1 z) #s(literal 1 binary64)))
accuracy29.63647954938079
#s(approx (- 1 z) #s(literal 1 binary64))
accuracy0.0
(-.f64 #s(literal 1 binary64) z)
accuracy0.0078125
(*.f64 (-.f64 #s(literal 1 binary64) z) y)
accuracy29.583119563901707
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y))
accuracy0.0
(-.f64 #s(literal 1 binary64) z)
accuracy0.0
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
accuracy32.64905541490765
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
accuracy0.00390625
(*.f64 (-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x))) (-.f64 #s(literal 1 binary64) z))
accuracy0.0078125
(-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)))
accuracy16.903475366072527
(/.f64 (*.f64 x x) (-.f64 y x))
accuracy17.382911772569027
(/.f64 (*.f64 y y) (-.f64 y x))
Samples
75.0ms255×0valid
1.0ms5exit
Compiler

Compiled 136 to 19 computations (86% saved)

Precisions
Click to see histograms. Total time spent on operations: 60.0ms
ival-sub: 28.0ms (46.8% of total)
ival-mult: 26.0ms (43.4% of total)
ival-div: 3.0ms (5% of total)
ival-add: 1.0ms (1.7% of total)
ival-neg: 1.0ms (1.7% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series27.0ms (0.5%)

Memory
3.3MiB live, 58.8MiB allocated
Counts
16 → 80
Calls
Call 1
Inputs
(-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)))
(*.f64 (-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x))) (-.f64 #s(literal 1 binary64) z))
(/.f64 (*.f64 y y) (-.f64 y x))
(*.f64 y y)
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(-.f64 #s(literal 1 binary64) z)
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y))
(*.f64 (-.f64 #s(literal 1 binary64) z) y)
(*.f64 (+.f64 x y) #s(approx (- 1 z) #s(literal 1 binary64)))
(+.f64 x y)
#s(approx (- 1 z) #s(literal 1 binary64))
(*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z)))
#s(approx (- 1 z) (neg.f64 z))
(neg.f64 z)
(/.f64 (*.f64 x x) (-.f64 y x))
Outputs
y
(+ x y)
(* y (- 1 z))
(+ (* x (- 1 z)) (* y (- 1 z)))
(+ y (* x (+ 1 (/ x y))))
(+ y (* x (+ 1 (* x (+ (/ 1 y) (/ x (pow y 2)))))))
(* x (- 1 z))
(/ (pow x 2) y)
(* (pow x 2) (+ (/ 1 y) (/ x (pow y 2))))
(* (pow x 2) (+ (* x (+ (/ 1 (pow y 2)) (/ x (pow y 3)))) (/ 1 y)))
(* (pow x 2) (+ (* x (+ (* x (+ (/ 1 (pow y 3)) (/ x (pow y 4)))) (/ 1 (pow y 2)))) (/ 1 y)))
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (/ y x) (/ (pow y 2) (pow x 2))))))
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z))
(* x (- (+ 1 (+ (/ (* y (- 1 z)) x) (/ (* (+ (* -1 (pow y 2)) (pow y 2)) (- 1 z)) (pow x 2)))) z))
(* -1 (/ (pow y 2) x))
(/ (+ (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)
(/ (- (+ (* -1 (/ (pow y 4) (pow x 2))) (* -1 (pow y 2))) (/ (pow y 3) x)) x)
(/ (- (+ (* -1 (/ (pow y 5) (pow x 3))) (* -1 (pow y 2))) (+ (/ (pow y 3) x) (/ (pow y 4) (pow x 2)))) x)
(* -1 x)
(* x (- (* -1 (/ y x)) 1))
(* x (- (* -1 (/ (pow y 2) (pow x 2))) (+ 1 (/ y x))))
(* x (- (* -1 (/ (pow y 3) (pow x 3))) (+ 1 (+ (/ y x) (/ (pow y 2) (pow x 2))))))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ (+ y (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) x))) x)) 1)))
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x)))))
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (+ (* -1 (/ (* (+ (* -1 (pow y 2)) (pow y 2)) (- 1 z)) x)) (* y (- 1 z))) x)))))
(* -1 (/ (+ (/ (pow y 3) x) (pow y 2)) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow y 4) x)) (pow y 3)) x)) (pow y 2)) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow y 5) x) (* -1 (pow y 4))) x)) (pow y 3)) x)) (pow y 2)) x))
(* -1 (* x (+ 1 (/ y x))))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) y) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (* -1 (pow y 2))) x)) y) x)))))
(- y (* -1 x))
(* (pow y 2) (- (* -1 (/ y (pow x 2))) (/ 1 x)))
(* (pow y 2) (- (* y (- (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))
(* (pow y 2) (- (* y (- (* y (- (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)))
(pow y 2)
(+ (* -1 x) (* -1 y))
(+ (* -1 x) (* y (- (* -1 (/ y x)) 1)))
(+ (* -1 x) (* y (- (* y (- (* -1 (/ y (pow x 2))) (/ 1 x))) 1)))
(* y (+ 1 (/ x y)))
(* y (- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) (pow y 2)))) (* -1 (/ x y))))
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z))
(* y (- (+ 1 (+ (* -1 (/ (* (+ (* -1 (pow x 2)) (pow x 2)) (- 1 z)) (pow y 2))) (/ (* x (- 1 z)) y))) z))
(* y (- (+ 1 (/ (pow x 2) (pow y 2))) (* -1 (/ x y))))
(* y (- (+ 1 (/ (pow x 3) (pow y 3))) (+ (* -1 (/ x y)) (* -1 (/ (pow x 2) (pow y 2))))))
(/ (+ (/ (pow x 3) y) (pow x 2)) y)
(/ (- (+ (/ (pow x 4) (pow y 2)) (pow x 2)) (* -1 (/ (pow x 3) y))) y)
(/ (- (+ (/ (pow x 5) (pow y 3)) (pow x 2)) (+ (* -1 (/ (pow x 3) y)) (* -1 (/ (pow x 4) (pow y 2))))) y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y)))))
(* -1 (* y (- (* -1 (/ (- (/ (pow x 2) y) (* -1 x)) y)) 1)))
(* -1 (* y (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (pow x 2)) y)) (* -1 x)) y)) 1)))
(* -1 (/ (+ (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y))
(* -1 (/ (+ (* -1 (/ (+ (/ (pow x 4) y) (pow x 3)) y)) (* -1 (pow x 2))) y))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow x 5) y)) (* -1 (pow x 4))) y)) (pow x 3)) y)) (* -1 (pow x 2))) y))
(- (/ (pow y 2) (- y x)) (/ (pow x 2) (- y x)))
(- (+ (* -1 (* z (- (/ (pow y 2) (- y x)) (/ (pow x 2) (- y x))))) (/ (pow y 2) (- y x))) (/ (pow x 2) (- y x)))
(+ x (+ y (* -1 (* z (+ x y)))))
(+ x (* -1 (* x z)))
1
(+ 1 (* -1 z))
(+ y (* -1 (* y z)))
(* -1 z)
(* -1 (* z (- (/ (pow y 2) (- y x)) (/ (pow x 2) (- y x)))))
(* z (- (+ (* -1 (- (/ (pow y 2) (- y x)) (/ (pow x 2) (- y x)))) (/ (pow y 2) (* z (- y x)))) (/ (pow x 2) (* z (- y x)))))
(* -1 (* z (+ x y)))
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(* -1 (* x z))
(* z (+ (* -1 x) (/ x z)))
(* z (- (/ 1 z) 1))
(* -1 (* y z))
(* z (+ (* -1 y) (/ y z)))
(* -1 (* z (- (+ (* -1 (/ (- (/ (pow y 2) (- y x)) (/ (pow x 2) (- y x))) z)) (/ (pow y 2) (- y x))) (/ (pow x 2) (- y x)))))
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))
(* -1 (* z (+ x (* -1 (/ x z)))))
(* -1 (* z (- 1 (/ 1 z))))
(* -1 (* z (+ y (* -1 (/ y z)))))
Calls

9 calls:

TimeVariablePointExpression
9.0ms
y
@0
((- (/ (* y y) (- y x)) (/ (* x x) (- y x))) (* (- (/ (* y y) (- y x)) (/ (* x x) (- y x))) (- 1 z)) (/ (* y y) (- y x)) (* y y) (* (+ x y) (- 1 z)) (* (- 1 z) x) (- 1 z) (* (+ x y) (- 1 z)) (* (- 1 z) y) (* (+ x y) (- 1 z)) (+ x y) (- 1 z) (* (+ x y) (- 1 z)) (- 1 z) (neg z) (/ (* x x) (- y x)))
3.0ms
y
@-inf
((- (/ (* y y) (- y x)) (/ (* x x) (- y x))) (* (- (/ (* y y) (- y x)) (/ (* x x) (- y x))) (- 1 z)) (/ (* y y) (- y x)) (* y y) (* (+ x y) (- 1 z)) (* (- 1 z) x) (- 1 z) (* (+ x y) (- 1 z)) (* (- 1 z) y) (* (+ x y) (- 1 z)) (+ x y) (- 1 z) (* (+ x y) (- 1 z)) (- 1 z) (neg z) (/ (* x x) (- y x)))
3.0ms
x
@0
((- (/ (* y y) (- y x)) (/ (* x x) (- y x))) (* (- (/ (* y y) (- y x)) (/ (* x x) (- y x))) (- 1 z)) (/ (* y y) (- y x)) (* y y) (* (+ x y) (- 1 z)) (* (- 1 z) x) (- 1 z) (* (+ x y) (- 1 z)) (* (- 1 z) y) (* (+ x y) (- 1 z)) (+ x y) (- 1 z) (* (+ x y) (- 1 z)) (- 1 z) (neg z) (/ (* x x) (- y x)))
2.0ms
y
@inf
((- (/ (* y y) (- y x)) (/ (* x x) (- y x))) (* (- (/ (* y y) (- y x)) (/ (* x x) (- y x))) (- 1 z)) (/ (* y y) (- y x)) (* y y) (* (+ x y) (- 1 z)) (* (- 1 z) x) (- 1 z) (* (+ x y) (- 1 z)) (* (- 1 z) y) (* (+ x y) (- 1 z)) (+ x y) (- 1 z) (* (+ x y) (- 1 z)) (- 1 z) (neg z) (/ (* x x) (- y x)))
2.0ms
x
@inf
((- (/ (* y y) (- y x)) (/ (* x x) (- y x))) (* (- (/ (* y y) (- y x)) (/ (* x x) (- y x))) (- 1 z)) (/ (* y y) (- y x)) (* y y) (* (+ x y) (- 1 z)) (* (- 1 z) x) (- 1 z) (* (+ x y) (- 1 z)) (* (- 1 z) y) (* (+ x y) (- 1 z)) (+ x y) (- 1 z) (* (+ x y) (- 1 z)) (- 1 z) (neg z) (/ (* x x) (- y x)))

simplify322.0ms (6.1%)

Memory
-24.9MiB live, 230.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03391045
11077981
23605944
08383915
Stop Event
iter limit
node limit
Counts
80 → 78
Calls
Call 1
Inputs
y
(+ x y)
(* y (- 1 z))
(+ (* x (- 1 z)) (* y (- 1 z)))
(+ y (* x (+ 1 (/ x y))))
(+ y (* x (+ 1 (* x (+ (/ 1 y) (/ x (pow y 2)))))))
(* x (- 1 z))
(/ (pow x 2) y)
(* (pow x 2) (+ (/ 1 y) (/ x (pow y 2))))
(* (pow x 2) (+ (* x (+ (/ 1 (pow y 2)) (/ x (pow y 3)))) (/ 1 y)))
(* (pow x 2) (+ (* x (+ (* x (+ (/ 1 (pow y 3)) (/ x (pow y 4)))) (/ 1 (pow y 2)))) (/ 1 y)))
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (/ y x) (/ (pow y 2) (pow x 2))))))
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z))
(* x (- (+ 1 (+ (/ (* y (- 1 z)) x) (/ (* (+ (* -1 (pow y 2)) (pow y 2)) (- 1 z)) (pow x 2)))) z))
(* -1 (/ (pow y 2) x))
(/ (+ (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)
(/ (- (+ (* -1 (/ (pow y 4) (pow x 2))) (* -1 (pow y 2))) (/ (pow y 3) x)) x)
(/ (- (+ (* -1 (/ (pow y 5) (pow x 3))) (* -1 (pow y 2))) (+ (/ (pow y 3) x) (/ (pow y 4) (pow x 2)))) x)
(* -1 x)
(* x (- (* -1 (/ y x)) 1))
(* x (- (* -1 (/ (pow y 2) (pow x 2))) (+ 1 (/ y x))))
(* x (- (* -1 (/ (pow y 3) (pow x 3))) (+ 1 (+ (/ y x) (/ (pow y 2) (pow x 2))))))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ (+ y (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) x))) x)) 1)))
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x)))))
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (+ (* -1 (/ (* (+ (* -1 (pow y 2)) (pow y 2)) (- 1 z)) x)) (* y (- 1 z))) x)))))
(* -1 (/ (+ (/ (pow y 3) x) (pow y 2)) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow y 4) x)) (pow y 3)) x)) (pow y 2)) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow y 5) x) (* -1 (pow y 4))) x)) (pow y 3)) x)) (pow y 2)) x))
(* -1 (* x (+ 1 (/ y x))))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) y) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (* -1 (pow y 2))) x)) y) x)))))
(- y (* -1 x))
(* (pow y 2) (- (* -1 (/ y (pow x 2))) (/ 1 x)))
(* (pow y 2) (- (* y (- (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))
(* (pow y 2) (- (* y (- (* y (- (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)))
(pow y 2)
(+ (* -1 x) (* -1 y))
(+ (* -1 x) (* y (- (* -1 (/ y x)) 1)))
(+ (* -1 x) (* y (- (* y (- (* -1 (/ y (pow x 2))) (/ 1 x))) 1)))
(* y (+ 1 (/ x y)))
(* y (- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) (pow y 2)))) (* -1 (/ x y))))
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z))
(* y (- (+ 1 (+ (* -1 (/ (* (+ (* -1 (pow x 2)) (pow x 2)) (- 1 z)) (pow y 2))) (/ (* x (- 1 z)) y))) z))
(* y (- (+ 1 (/ (pow x 2) (pow y 2))) (* -1 (/ x y))))
(* y (- (+ 1 (/ (pow x 3) (pow y 3))) (+ (* -1 (/ x y)) (* -1 (/ (pow x 2) (pow y 2))))))
(/ (+ (/ (pow x 3) y) (pow x 2)) y)
(/ (- (+ (/ (pow x 4) (pow y 2)) (pow x 2)) (* -1 (/ (pow x 3) y))) y)
(/ (- (+ (/ (pow x 5) (pow y 3)) (pow x 2)) (+ (* -1 (/ (pow x 3) y)) (* -1 (/ (pow x 4) (pow y 2))))) y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y)))))
(* -1 (* y (- (* -1 (/ (- (/ (pow x 2) y) (* -1 x)) y)) 1)))
(* -1 (* y (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (pow x 2)) y)) (* -1 x)) y)) 1)))
(* -1 (/ (+ (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y))
(* -1 (/ (+ (* -1 (/ (+ (/ (pow x 4) y) (pow x 3)) y)) (* -1 (pow x 2))) y))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow x 5) y)) (* -1 (pow x 4))) y)) (pow x 3)) y)) (* -1 (pow x 2))) y))
(- (/ (pow y 2) (- y x)) (/ (pow x 2) (- y x)))
(- (+ (* -1 (* z (- (/ (pow y 2) (- y x)) (/ (pow x 2) (- y x))))) (/ (pow y 2) (- y x))) (/ (pow x 2) (- y x)))
(+ x (+ y (* -1 (* z (+ x y)))))
(+ x (* -1 (* x z)))
1
(+ 1 (* -1 z))
(+ y (* -1 (* y z)))
(* -1 z)
(* -1 (* z (- (/ (pow y 2) (- y x)) (/ (pow x 2) (- y x)))))
(* z (- (+ (* -1 (- (/ (pow y 2) (- y x)) (/ (pow x 2) (- y x)))) (/ (pow y 2) (* z (- y x)))) (/ (pow x 2) (* z (- y x)))))
(* -1 (* z (+ x y)))
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(* -1 (* x z))
(* z (+ (* -1 x) (/ x z)))
(* z (- (/ 1 z) 1))
(* -1 (* y z))
(* z (+ (* -1 y) (/ y z)))
(* -1 (* z (- (+ (* -1 (/ (- (/ (pow y 2) (- y x)) (/ (pow x 2) (- y x))) z)) (/ (pow y 2) (- y x))) (/ (pow x 2) (- y x)))))
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))
(* -1 (* z (+ x (* -1 (/ x z)))))
(* -1 (* z (- 1 (/ 1 z))))
(* -1 (* z (+ y (* -1 (/ y z)))))
Outputs
y
(+ x y)
(+.f64 x y)
(* y (- 1 z))
(*.f64 (-.f64 #s(literal 1 binary64) z) y)
(+ (* x (- 1 z)) (* y (- 1 z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 x y))
(+ y (* x (+ 1 (/ x y))))
(fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) x y)
(+ y (* x (+ 1 (* x (+ (/ 1 y) (/ x (pow y 2)))))))
(fma.f64 (/.f64 (fma.f64 (/.f64 x y) x x) y) x (+.f64 x y))
(* x (- 1 z))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(/ (pow x 2) y)
(*.f64 (/.f64 x y) x)
(* (pow x 2) (+ (/ 1 y) (/ x (pow y 2))))
(/.f64 (*.f64 x (fma.f64 (/.f64 x y) x x)) y)
(* (pow x 2) (+ (* x (+ (/ 1 (pow y 2)) (/ x (pow y 3)))) (/ 1 y)))
(*.f64 x (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x y) x x) y) x x) y))
(* (pow x 2) (+ (* x (+ (* x (+ (/ 1 (pow y 3)) (/ x (pow y 4)))) (/ 1 (pow y 2)))) (/ 1 y)))
(*.f64 (*.f64 (fma.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x (/.f64 (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y) y)) x (/.f64 #s(literal 1 binary64) y)) x) x)
x
(* x (+ 1 (/ y x)))
(fma.f64 (/.f64 y x) x x)
(* x (+ 1 (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (/ y x) (/ (pow y 2) (pow x 2))))))
(fma.f64 (/.f64 y x) x x)
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z))
(*.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 y x) #s(literal 1 binary64)) z) x)
(* x (- (+ 1 (+ (/ (* y (- 1 z)) x) (/ (* (+ (* -1 (pow y 2)) (pow y 2)) (- 1 z)) (pow x 2)))) z))
(*.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 y x) #s(literal 1 binary64)) z) x)
(* -1 (/ (pow y 2) x))
(*.f64 y (/.f64 y (neg.f64 x)))
(/ (+ (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)
(/.f64 (fma.f64 y y (/.f64 (pow.f64 y #s(literal 3 binary64)) x)) (neg.f64 x))
(/ (- (+ (* -1 (/ (pow y 4) (pow x 2))) (* -1 (pow y 2))) (/ (pow y 3) x)) x)
(/.f64 (fma.f64 (neg.f64 y) y (/.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (neg.f64 x)) (pow.f64 y #s(literal 3 binary64))) x)) x)
(/ (- (+ (* -1 (/ (pow y 5) (pow x 3))) (* -1 (pow y 2))) (+ (/ (pow y 3) x) (/ (pow y 4) (pow x 2)))) x)
(/.f64 (-.f64 (neg.f64 (fma.f64 y y (/.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) (pow.f64 y #s(literal 3 binary64))) x)) x)
(* -1 x)
(neg.f64 x)
(* x (- (* -1 (/ y x)) 1))
(neg.f64 (fma.f64 (/.f64 y x) x x))
(* x (- (* -1 (/ (pow y 2) (pow x 2))) (+ 1 (/ y x))))
(*.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 y) (/.f64 y x) (neg.f64 y)) x) #s(literal 1 binary64)) x)
(* x (- (* -1 (/ (pow y 3) (pow x 3))) (+ 1 (+ (/ y x) (/ (pow y 2) (pow x 2))))))
(*.f64 (-.f64 (-.f64 (pow.f64 (/.f64 y (neg.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 y (/.f64 y x) y) x)) x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(neg.f64 (neg.f64 (fma.f64 (/.f64 y x) x x)))
(* -1 (* x (- (* -1 (/ (+ y (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) x))) x)) 1)))
(neg.f64 (neg.f64 (fma.f64 (/.f64 y x) x x)))
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x)))))
(*.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 y x) #s(literal 1 binary64)) z) x)
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (+ (* -1 (/ (* (+ (* -1 (pow y 2)) (pow y 2)) (- 1 z)) x)) (* y (- 1 z))) x)))))
(*.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 y x) #s(literal 1 binary64)) z) x)
(* -1 (/ (+ (/ (pow y 3) x) (pow y 2)) x))
(/.f64 (fma.f64 y y (/.f64 (pow.f64 y #s(literal 3 binary64)) x)) (neg.f64 x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow y 4) x)) (pow y 3)) x)) (pow y 2)) x))
(/.f64 (fma.f64 (neg.f64 y) y (/.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (neg.f64 x)) (pow.f64 y #s(literal 3 binary64))) x)) x)
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow y 5) x) (* -1 (pow y 4))) x)) (pow y 3)) x)) (pow y 2)) x))
(/.f64 (fma.f64 y y (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (pow.f64 y #s(literal 5 binary64)) x) (pow.f64 y #s(literal 4 binary64))) (neg.f64 x)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 x))) (neg.f64 x))
(* -1 (* x (+ 1 (/ y x))))
(neg.f64 (fma.f64 (/.f64 y x) x x))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) y) x)))))
(fma.f64 (/.f64 (fma.f64 (neg.f64 y) (/.f64 y x) (neg.f64 y)) x) x (neg.f64 x))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (* -1 (pow y 2))) x)) y) x)))))
(fma.f64 (/.f64 (-.f64 (/.f64 (fma.f64 y y (/.f64 (pow.f64 y #s(literal 3 binary64)) x)) (neg.f64 x)) y) x) x (neg.f64 x))
(- y (* -1 x))
(+.f64 x y)
(* (pow y 2) (- (* -1 (/ y (pow x 2))) (/ 1 x)))
(*.f64 (-.f64 (/.f64 (/.f64 y (neg.f64 x)) x) (/.f64 #s(literal 1 binary64) x)) (*.f64 y y))
(* (pow y 2) (- (* y (- (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))
(*.f64 (-.f64 (*.f64 (-.f64 (/.f64 (neg.f64 y) (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) y) (/.f64 #s(literal 1 binary64) x)) (*.f64 y y))
(* (pow y 2) (- (* y (- (* y (- (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (/.f64 (neg.f64 y) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) y) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) y) (/.f64 #s(literal 1 binary64) x)) (*.f64 y y))
(pow y 2)
(*.f64 y y)
(+ (* -1 x) (* -1 y))
(-.f64 (neg.f64 y) x)
(+ (* -1 x) (* y (- (* -1 (/ y x)) 1)))
(fma.f64 (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64)) y (neg.f64 x))
(+ (* -1 x) (* y (- (* y (- (* -1 (/ y (pow x 2))) (/ 1 x))) 1)))
(fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 (/.f64 y (neg.f64 x)) x) (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)) y (neg.f64 x))
(* y (+ 1 (/ x y)))
(fma.f64 (/.f64 x y) y y)
(* y (- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) (pow y 2)))) (* -1 (/ x y))))
(fma.f64 (/.f64 x y) y y)
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z))
(*.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y) #s(literal 1 binary64)) z) y)
(* y (- (+ 1 (+ (* -1 (/ (* (+ (* -1 (pow x 2)) (pow x 2)) (- 1 z)) (pow y 2))) (/ (* x (- 1 z)) y))) z))
(*.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y) #s(literal 1 binary64)) z) y)
(* y (- (+ 1 (/ (pow x 2) (pow y 2))) (* -1 (/ x y))))
(fma.f64 (/.f64 (fma.f64 (/.f64 x y) x x) y) y y)
(* y (- (+ 1 (/ (pow x 3) (pow y 3))) (+ (* -1 (/ x y)) (* -1 (/ (pow x 2) (pow y 2))))))
(fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x y) x x) y) x x) y) y y)
(/ (+ (/ (pow x 3) y) (pow x 2)) y)
(/.f64 (*.f64 x (fma.f64 (/.f64 x y) x x)) y)
(/ (- (+ (/ (pow x 4) (pow y 2)) (pow x 2)) (* -1 (/ (pow x 3) y))) y)
(/.f64 (fma.f64 x x (/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) y)
(/ (- (+ (/ (pow x 5) (pow y 3)) (pow x 2)) (+ (* -1 (/ (pow x 3) y)) (* -1 (/ (pow x 4) (pow y 2))))) y)
(/.f64 (fma.f64 x x (+.f64 (/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 3 binary64))))) y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(*.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (neg.f64 y))
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y)))))
(*.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y) #s(literal 1 binary64)) z) y)
(* -1 (* y (- (* -1 (/ (- (/ (pow x 2) y) (* -1 x)) y)) 1)))
(*.f64 (-.f64 (*.f64 (/.f64 x y) (-.f64 #s(literal -1 binary64) (/.f64 x y))) #s(literal 1 binary64)) (neg.f64 y))
(* -1 (* y (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (pow x 2)) y)) (* -1 x)) y)) 1)))
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x y) x x) y) x x) (neg.f64 y)) #s(literal 1 binary64)) (neg.f64 y))
(* -1 (/ (+ (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y))
(/.f64 (*.f64 x (fma.f64 (/.f64 x y) x x)) y)
(* -1 (/ (+ (* -1 (/ (+ (/ (pow x 4) y) (pow x 3)) y)) (* -1 (pow x 2))) y))
(/.f64 (fma.f64 x x (/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) y)
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow x 5) y)) (* -1 (pow x 4))) y)) (pow x 3)) y)) (* -1 (pow x 2))) y))
(/.f64 (fma.f64 x x (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) y) (pow.f64 x #s(literal 4 binary64))) y) (pow.f64 x #s(literal 3 binary64))) y)) y)
(- (/ (pow y 2) (- y x)) (/ (pow x 2) (- y x)))
(fma.f64 y (/.f64 y (-.f64 y x)) (*.f64 (neg.f64 x) (/.f64 x (-.f64 y x))))
(- (+ (* -1 (* z (- (/ (pow y 2) (- y x)) (/ (pow x 2) (- y x))))) (/ (pow y 2) (- y x))) (/ (pow x 2) (- y x)))
(*.f64 (-.f64 #s(literal 1 binary64) z) (fma.f64 y (/.f64 y (-.f64 y x)) (*.f64 (neg.f64 x) (/.f64 x (-.f64 y x)))))
(+ x (+ y (* -1 (* z (+ x y)))))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 x y))
(+ x (* -1 (* x z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 z))
(-.f64 #s(literal 1 binary64) z)
(+ y (* -1 (* y z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) y)
(* -1 z)
(neg.f64 z)
(* -1 (* z (- (/ (pow y 2) (- y x)) (/ (pow x 2) (- y x)))))
(*.f64 (neg.f64 z) (fma.f64 y (/.f64 y (-.f64 y x)) (*.f64 (neg.f64 x) (/.f64 x (-.f64 y x)))))
(* z (- (+ (* -1 (- (/ (pow y 2) (- y x)) (/ (pow x 2) (- y x)))) (/ (pow y 2) (* z (- y x)))) (/ (pow x 2) (* z (- y x)))))
(*.f64 (fma.f64 (fma.f64 y (/.f64 y (-.f64 y x)) (*.f64 (neg.f64 x) (/.f64 x (-.f64 y x)))) #s(literal -1 binary64) (/.f64 (fma.f64 y (/.f64 y (-.f64 y x)) (*.f64 (neg.f64 x) (/.f64 x (-.f64 y x)))) z)) z)
(* -1 (* z (+ x y)))
(*.f64 (-.f64 (neg.f64 y) x) z)
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(*.f64 (-.f64 (-.f64 (/.f64 (+.f64 x y) z) x) y) z)
(* -1 (* x z))
(*.f64 (neg.f64 x) z)
(* z (+ (* -1 x) (/ x z)))
(*.f64 (-.f64 (/.f64 x z) x) z)
(* z (- (/ 1 z) 1))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) z)
(* -1 (* y z))
(*.f64 (neg.f64 z) y)
(* z (+ (* -1 y) (/ y z)))
(*.f64 (-.f64 (/.f64 y z) y) z)
(* -1 (* z (- (+ (* -1 (/ (- (/ (pow y 2) (- y x)) (/ (pow x 2) (- y x))) z)) (/ (pow y 2) (- y x))) (/ (pow x 2) (- y x)))))
(*.f64 (-.f64 (fma.f64 y (/.f64 y (-.f64 y x)) (/.f64 (fma.f64 y (/.f64 y (-.f64 y x)) (*.f64 (neg.f64 x) (/.f64 x (-.f64 y x)))) (neg.f64 z))) (*.f64 x (/.f64 x (-.f64 y x)))) (neg.f64 z))
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))
(*.f64 (-.f64 (-.f64 (/.f64 (+.f64 x y) z) x) y) z)
(* -1 (* z (+ x (* -1 (/ x z)))))
(*.f64 (-.f64 (/.f64 x z) x) z)
(* -1 (* z (- 1 (/ 1 z))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) (neg.f64 z))
(* -1 (* z (+ y (* -1 (/ y z)))))
(*.f64 (-.f64 (/.f64 y z) y) z)

rewrite163.0ms (3.1%)

Memory
22.0MiB live, 211.5MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025125
040125
1119101
2934101
08960101
Stop Event
iter limit
node limit
iter limit
Counts
16 → 631
Calls
Call 1
Inputs
(-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)))
(*.f64 (-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x))) (-.f64 #s(literal 1 binary64) z))
(/.f64 (*.f64 y y) (-.f64 y x))
(*.f64 y y)
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(-.f64 #s(literal 1 binary64) z)
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y))
(*.f64 (-.f64 #s(literal 1 binary64) z) y)
(*.f64 (+.f64 x y) #s(approx (- 1 z) #s(literal 1 binary64)))
(+.f64 x y)
#s(approx (- 1 z) #s(literal 1 binary64))
(*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z)))
#s(approx (- 1 z) (neg.f64 z))
(neg.f64 z)
(/.f64 (*.f64 x x) (-.f64 y x))
Outputs
(*.f64 (/.f64 (neg.f64 (+.f64 x y)) (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (fma.f64 (neg.f64 x) x (*.f64 y y)))) (/.f64 (neg.f64 (-.f64 y x)) (-.f64 x y)))
(*.f64 (/.f64 (neg.f64 (+.f64 x y)) (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (neg.f64 (-.f64 y x)) (fma.f64 x x (*.f64 y (-.f64 y x)))))
(*.f64 (/.f64 (+.f64 (neg.f64 y) x) (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (fma.f64 (neg.f64 x) x (*.f64 y y)))) (/.f64 (-.f64 (neg.f64 y) x) (-.f64 x y)))
(*.f64 (/.f64 (+.f64 (neg.f64 y) x) (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (-.f64 (neg.f64 y) x) (fma.f64 x x (*.f64 y (-.f64 y x)))))
(*.f64 (/.f64 (+.f64 y (neg.f64 x)) (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (fma.f64 (neg.f64 x) x (*.f64 y y)))) (/.f64 (-.f64 y (neg.f64 x)) (-.f64 x y)))
(*.f64 (/.f64 (+.f64 y (neg.f64 x)) (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (-.f64 y (neg.f64 x)) (fma.f64 x x (*.f64 y (-.f64 y x)))))
(*.f64 (/.f64 (+.f64 x y) (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (fma.f64 (neg.f64 x) x (*.f64 y y)))) (/.f64 (-.f64 y x) (-.f64 x y)))
(*.f64 (/.f64 (+.f64 x y) (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (-.f64 y x) (fma.f64 x x (*.f64 y (-.f64 y x)))))
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 x y) (*.f64 y y)))
(*.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (fma.f64 (neg.f64 y) y (*.f64 x x))) (+.f64 x y))
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (/.f64 (fma.f64 x x (*.f64 y y)) (-.f64 y x))) (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (/.f64 (fma.f64 x x (*.f64 y y)) (-.f64 y x)))) (*.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (/.f64 (fma.f64 x x (*.f64 y y)) (-.f64 y x))) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (/.f64 (fma.f64 x x (*.f64 y y)) (-.f64 y x))))) (+.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (/.f64 (fma.f64 x x (*.f64 y y)) (-.f64 y x))) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (/.f64 (fma.f64 x x (*.f64 y y)) (-.f64 y x)))))
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (-.f64 y x) #s(literal 3 binary64))) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 y x) #s(literal 2 binary64))))) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (-.f64 y x) #s(literal 3 binary64))) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 y x) #s(literal 2 binary64)))))) (*.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 y x) #s(literal 3 binary64))) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 y x) #s(literal 2 binary64))))) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 y x) #s(literal 3 binary64))) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 y x) #s(literal 2 binary64))))))) (+.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (-.f64 y x) #s(literal 3 binary64))) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 y x) #s(literal 2 binary64))))) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 y x) #s(literal 3 binary64))) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 y x) #s(literal 2 binary64)))))))
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(fma.f64 (/.f64 (*.f64 x x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y y (*.f64 x x)) (*.f64 (/.f64 (*.f64 x x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x y)))
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x (+.f64 x y)) (*.f64 (/.f64 (*.f64 x x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y y)))
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y y) (*.f64 (/.f64 (*.f64 x x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x (+.f64 x y))))
(fma.f64 (*.f64 (/.f64 x (+.f64 x y)) (/.f64 x (-.f64 y x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (*.f64 y (-.f64 y x)))) (*.f64 (*.f64 (/.f64 x (+.f64 x y)) (/.f64 x (-.f64 y x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x x (*.f64 y (-.f64 y x))))))
(fma.f64 (*.f64 (/.f64 x (+.f64 x y)) (/.f64 x (-.f64 y x))) (*.f64 (/.f64 y (-.f64 y x)) y) (*.f64 (*.f64 (/.f64 x (+.f64 x y)) (/.f64 x (-.f64 y x))) (*.f64 (/.f64 x (-.f64 y x)) (neg.f64 x))))
(fma.f64 (*.f64 (/.f64 x (+.f64 x y)) (/.f64 x (-.f64 y x))) x (*.f64 (*.f64 (/.f64 x (+.f64 x y)) (/.f64 x (-.f64 y x))) y))
(fma.f64 (*.f64 (/.f64 x (+.f64 x y)) (/.f64 x (-.f64 y x))) y (*.f64 (*.f64 (/.f64 x (+.f64 x y)) (/.f64 x (-.f64 y x))) x))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (*.f64 y (-.f64 y x)))) (*.f64 (/.f64 x (+.f64 x y)) (/.f64 x (-.f64 y x))) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x x (*.f64 y (-.f64 y x)))) (*.f64 (/.f64 x (+.f64 x y)) (/.f64 x (-.f64 y x)))))
(fma.f64 (fma.f64 y y (*.f64 x x)) (/.f64 (*.f64 x x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 x y) (/.f64 (*.f64 x x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(fma.f64 (*.f64 x (+.f64 x y)) (/.f64 (*.f64 x x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 y y) (/.f64 (*.f64 x x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(fma.f64 (*.f64 (/.f64 y (-.f64 y x)) y) (*.f64 (/.f64 x (+.f64 x y)) (/.f64 x (-.f64 y x))) (*.f64 (*.f64 (/.f64 x (-.f64 y x)) (neg.f64 x)) (*.f64 (/.f64 x (+.f64 x y)) (/.f64 x (-.f64 y x)))))
(fma.f64 x (*.f64 (/.f64 x (+.f64 x y)) (/.f64 x (-.f64 y x))) (*.f64 y (*.f64 (/.f64 x (+.f64 x y)) (/.f64 x (-.f64 y x)))))
(fma.f64 (*.f64 y y) (/.f64 (*.f64 x x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 x (+.f64 x y)) (/.f64 (*.f64 x x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(fma.f64 y (*.f64 (/.f64 x (+.f64 x y)) (/.f64 x (-.f64 y x))) (*.f64 x (*.f64 (/.f64 x (+.f64 x y)) (/.f64 x (-.f64 y x)))))
(+.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (/.f64 (*.f64 x x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (*.f64 x y) (/.f64 (*.f64 x x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(+.f64 (*.f64 (*.f64 x (+.f64 x y)) (/.f64 (*.f64 x x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (*.f64 y y) (/.f64 (*.f64 x x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(+.f64 (*.f64 (*.f64 y y) (/.f64 (*.f64 x x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (*.f64 x (+.f64 x y)) (/.f64 (*.f64 x x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(+.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (*.f64 y (-.f64 y x)))) (*.f64 (/.f64 x (+.f64 x y)) (/.f64 x (-.f64 y x)))) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x x (*.f64 y (-.f64 y x)))) (*.f64 (/.f64 x (+.f64 x y)) (/.f64 x (-.f64 y x)))))
(+.f64 (*.f64 (*.f64 (/.f64 y (-.f64 y x)) y) (*.f64 (/.f64 x (+.f64 x y)) (/.f64 x (-.f64 y x)))) (*.f64 (*.f64 (/.f64 x (-.f64 y x)) (neg.f64 x)) (*.f64 (/.f64 x (+.f64 x y)) (/.f64 x (-.f64 y x)))))
(+.f64 (*.f64 x (*.f64 (/.f64 x (+.f64 x y)) (/.f64 x (-.f64 y x)))) (*.f64 y (*.f64 (/.f64 x (+.f64 x y)) (/.f64 x (-.f64 y x)))))
(+.f64 (*.f64 y (*.f64 (/.f64 x (+.f64 x y)) (/.f64 x (-.f64 y x)))) (*.f64 x (*.f64 (/.f64 x (+.f64 x y)) (/.f64 x (-.f64 y x)))))
(+.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y y (*.f64 x x))) (*.f64 (/.f64 (*.f64 x x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x y)))
(+.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x (+.f64 x y))) (*.f64 (/.f64 (*.f64 x x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y y)))
(+.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y y)) (*.f64 (/.f64 (*.f64 x x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x (+.f64 x y))))
(+.f64 (*.f64 (*.f64 (/.f64 x (+.f64 x y)) (/.f64 x (-.f64 y x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (*.f64 y (-.f64 y x))))) (*.f64 (*.f64 (/.f64 x (+.f64 x y)) (/.f64 x (-.f64 y x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x x (*.f64 y (-.f64 y x))))))
(+.f64 (*.f64 (*.f64 (/.f64 x (+.f64 x y)) (/.f64 x (-.f64 y x))) (*.f64 (/.f64 y (-.f64 y x)) y)) (*.f64 (*.f64 (/.f64 x (+.f64 x y)) (/.f64 x (-.f64 y x))) (*.f64 (/.f64 x (-.f64 y x)) (neg.f64 x))))
(+.f64 (*.f64 (*.f64 (/.f64 x (+.f64 x y)) (/.f64 x (-.f64 y x))) x) (*.f64 (*.f64 (/.f64 x (+.f64 x y)) (/.f64 x (-.f64 y x))) y))
(+.f64 (*.f64 (*.f64 (/.f64 x (+.f64 x y)) (/.f64 x (-.f64 y x))) y) (*.f64 (*.f64 (/.f64 x (+.f64 x y)) (/.f64 x (-.f64 y x))) x))

eval125.0ms (2.4%)

Memory
-5.3MiB live, 180.5MiB allocated
Compiler

Compiled 20 286 to 2 035 computations (90% saved)

prune29.0ms (0.5%)

Memory
-13.8MiB live, 32.3MiB allocated
Pruning

11 alts after pruning (6 fresh and 5 done)

PrunedKeptTotal
New6106616
Fresh101
Picked145
Done011
Total61211623
Accuracy
100.0%
Counts
623 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
35.2%
(*.f64 (-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x))) #s(approx (- 1 z) #s(literal 1 binary64)))
100.0%
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
46.1%
(*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z)))
53.7%
(*.f64 (+.f64 x y) #s(approx (- 1 z) #s(literal 1 binary64)))
53.4%
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y))
48.7%
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
27.1%
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y))
27.6%
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))
43.8%
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) y) (*.f64 (-.f64 (/.f64 y z) y) z)))
27.3%
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) y) (*.f64 (neg.f64 z) y)))
22.6%
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) x) (*.f64 (neg.f64 x) z)))
Compiler

Compiled 268 to 193 computations (28% saved)

simplify11.0ms (0.2%)

Memory
2.7MiB live, 2.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 z)
cost-diff0
(*.f64 (neg.f64 z) y)
cost-diff0
#s(approx (* (- 1 z) y) (*.f64 (neg.f64 z) y))
cost-diff0
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) y) (*.f64 (neg.f64 z) y)))
cost-diff0
(neg.f64 x)
cost-diff0
(*.f64 (neg.f64 x) z)
cost-diff0
#s(approx (* (- 1 z) x) (*.f64 (neg.f64 x) z))
cost-diff0
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) x) (*.f64 (neg.f64 x) z)))
cost-diff0
#s(approx (- 1 z) #s(literal 1 binary64))
cost-diff0
(*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y)
cost-diff0
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y))
cost-diff0
#s(approx (- 1 z) #s(literal 1 binary64))
cost-diff0
(*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)
cost-diff0
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))
cost-diff0
(-.f64 (/.f64 y z) y)
cost-diff0
(*.f64 (-.f64 (/.f64 y z) y) z)
cost-diff0
#s(approx (* (- 1 z) y) (*.f64 (-.f64 (/.f64 y z) y) z))
cost-diff0
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) y) (*.f64 (-.f64 (/.f64 y z) y) z)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027181
036181
151181
260181
371181
492181
5121181
6161181
7211181
8250181
9283181
10297181
11302181
12307181
0307181
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) y) (*.f64 (-.f64 (/.f64 y z) y) z)))
#s(approx (* (- 1 z) y) (*.f64 (-.f64 (/.f64 y z) y) z))
(*.f64 (-.f64 (/.f64 y z) y) z)
(-.f64 (/.f64 y z) y)
(/.f64 y z)
y
z
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))
(*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)
#s(approx (- 1 z) #s(literal 1 binary64))
#s(literal 1 binary64)
x
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y))
(*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y)
#s(approx (- 1 z) #s(literal 1 binary64))
#s(literal 1 binary64)
y
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) x) (*.f64 (neg.f64 x) z)))
#s(approx (* (- 1 z) x) (*.f64 (neg.f64 x) z))
(*.f64 (neg.f64 x) z)
(neg.f64 x)
x
z
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) y) (*.f64 (neg.f64 z) y)))
#s(approx (* (- 1 z) y) (*.f64 (neg.f64 z) y))
(*.f64 (neg.f64 z) y)
(neg.f64 z)
z
y
Outputs
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) y) (*.f64 (-.f64 (/.f64 y z) y) z)))
#s(approx (* (- 1 z) y) (*.f64 (-.f64 (/.f64 y z) y) z))
(*.f64 (-.f64 (/.f64 y z) y) z)
(-.f64 (/.f64 y z) y)
(/.f64 y z)
y
z
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))
(*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)
#s(approx (- 1 z) #s(literal 1 binary64))
#s(literal 1 binary64)
x
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y))
(*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y)
#s(approx (- 1 z) #s(literal 1 binary64))
#s(literal 1 binary64)
y
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) x) (*.f64 (neg.f64 x) z)))
#s(approx (* (- 1 z) x) (*.f64 (neg.f64 x) z))
(*.f64 (neg.f64 x) z)
(neg.f64 x)
x
z
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) y) (*.f64 (neg.f64 z) y)))
#s(approx (* (- 1 z) y) (*.f64 (neg.f64 z) y))
(*.f64 (neg.f64 z) y)
(neg.f64 z)
z
y

localize49.0ms (0.9%)

Memory
12.5MiB live, 58.1MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 (neg.f64 z) y)
accuracy0.0
(neg.f64 z)
accuracy29.830132397912113
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) y) (*.f64 (neg.f64 z) y)))
accuracy34.17552680090399
#s(approx (* (- 1 z) y) (*.f64 (neg.f64 z) y))
accuracy0.0
(*.f64 (neg.f64 x) z)
accuracy0.0
(neg.f64 x)
accuracy32.84547842870403
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) x) (*.f64 (neg.f64 x) z)))
accuracy34.15894698965275
#s(approx (* (- 1 z) x) (*.f64 (neg.f64 x) z))
accuracy0.0078125
(*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y)
accuracy29.63647954938079
#s(approx (- 1 z) #s(literal 1 binary64))
accuracy29.830132397912113
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y))
accuracy0.0
(*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)
accuracy29.63647954938079
#s(approx (- 1 z) #s(literal 1 binary64))
accuracy32.84547842870403
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))
accuracy0.0
(-.f64 (/.f64 y z) y)
accuracy0.0
#s(approx (* (- 1 z) y) (*.f64 (-.f64 (/.f64 y z) y) z))
accuracy7.118625870232889
(*.f64 (-.f64 (/.f64 y z) y) z)
accuracy29.830132397912113
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) y) (*.f64 (-.f64 (/.f64 y z) y) z)))
Samples
37.0ms255×0valid
0.0ms1valid
Compiler

Compiled 105 to 18 computations (82.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 9.0ms (52.5% of total)
ival-div: 2.0ms (11.7% of total)
ival-add: 2.0ms (11.7% of total)
ival-sub: 2.0ms (11.7% of total)
ival-neg: 2.0ms (11.7% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series22.0ms (0.4%)

Memory
-25.0MiB live, 28.1MiB allocated
Counts
17 → 36
Calls
Call 1
Inputs
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) y) (*.f64 (-.f64 (/.f64 y z) y) z)))
#s(approx (* (- 1 z) y) (*.f64 (-.f64 (/.f64 y z) y) z))
(*.f64 (-.f64 (/.f64 y z) y) z)
(-.f64 (/.f64 y z) y)
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))
(*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)
#s(approx (- 1 z) #s(literal 1 binary64))
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y))
(*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y)
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) x) (*.f64 (neg.f64 x) z)))
#s(approx (* (- 1 z) x) (*.f64 (neg.f64 x) z))
(*.f64 (neg.f64 x) z)
(neg.f64 x)
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) y) (*.f64 (neg.f64 z) y)))
#s(approx (* (- 1 z) y) (*.f64 (neg.f64 z) y))
(*.f64 (neg.f64 z) y)
(neg.f64 z)
Outputs
(* y (- 1 z))
(+ (* x (- 1 z)) (* y (- 1 z)))
(* x (- 1 z))
(* -1 (* x z))
(* -1 x)
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z))
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x)))))
(* y (* z (- (/ 1 z) 1)))
(* y (- (/ 1 z) 1))
(* -1 (* y z))
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z))
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y)))))
(* -1 (* y (* z (- 1 (/ 1 z)))))
(* -1 (* y (- 1 (/ 1 z))))
(+ x y)
(+ x (+ y (* -1 (* z (+ x y)))))
y
(+ y (* -1 (* y z)))
(/ y z)
(/ (+ y (* -1 (* y z))) z)
x
(+ x (* -1 (* x z)))
1
(+ 1 (* -1 z))
(* -1 z)
(* -1 (* z (+ x y)))
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(* z (+ (* -1 y) (/ y z)))
(* -1 y)
(- (/ y z) y)
(* z (+ (* -1 x) (/ x z)))
(* z (- (/ 1 z) 1))
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))
(* -1 (* z (+ y (* -1 (/ y z)))))
(* -1 (* z (+ x (* -1 (/ x z)))))
(* -1 (* z (- 1 (/ 1 z))))
Calls

9 calls:

TimeVariablePointExpression
9.0ms
y
@-inf
((* (+ x y) (- 1 z)) (* (- 1 z) y) (* (- (/ y z) y) z) (- (/ y z) y) (* (+ x y) (- 1 z)) (* (- 1 z) x) (- 1 z) (* (+ x y) (- 1 z)) (* (- 1 z) y) (* (+ x y) (- 1 z)) (* (- 1 z) x) (* (neg x) z) (neg x) (* (+ x y) (- 1 z)) (* (- 1 z) y) (* (neg z) y) (neg z))
3.0ms
x
@0
((* (+ x y) (- 1 z)) (* (- 1 z) y) (* (- (/ y z) y) z) (- (/ y z) y) (* (+ x y) (- 1 z)) (* (- 1 z) x) (- 1 z) (* (+ x y) (- 1 z)) (* (- 1 z) y) (* (+ x y) (- 1 z)) (* (- 1 z) x) (* (neg x) z) (neg x) (* (+ x y) (- 1 z)) (* (- 1 z) y) (* (neg z) y) (neg z))
2.0ms
z
@inf
((* (+ x y) (- 1 z)) (* (- 1 z) y) (* (- (/ y z) y) z) (- (/ y z) y) (* (+ x y) (- 1 z)) (* (- 1 z) x) (- 1 z) (* (+ x y) (- 1 z)) (* (- 1 z) y) (* (+ x y) (- 1 z)) (* (- 1 z) x) (* (neg x) z) (neg x) (* (+ x y) (- 1 z)) (* (- 1 z) y) (* (neg z) y) (neg z))
2.0ms
z
@0
((* (+ x y) (- 1 z)) (* (- 1 z) y) (* (- (/ y z) y) z) (- (/ y z) y) (* (+ x y) (- 1 z)) (* (- 1 z) x) (- 1 z) (* (+ x y) (- 1 z)) (* (- 1 z) y) (* (+ x y) (- 1 z)) (* (- 1 z) x) (* (neg x) z) (neg x) (* (+ x y) (- 1 z)) (* (- 1 z) y) (* (neg z) y) (neg z))
1.0ms
y
@inf
((* (+ x y) (- 1 z)) (* (- 1 z) y) (* (- (/ y z) y) z) (- (/ y z) y) (* (+ x y) (- 1 z)) (* (- 1 z) x) (- 1 z) (* (+ x y) (- 1 z)) (* (- 1 z) y) (* (+ x y) (- 1 z)) (* (- 1 z) x) (* (neg x) z) (neg x) (* (+ x y) (- 1 z)) (* (- 1 z) y) (* (neg z) y) (neg z))

simplify203.0ms (3.8%)

Memory
23.9MiB live, 226.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
079182
1275181
2813181
32580173
46658173
08119173
Stop Event
iter limit
node limit
Counts
36 → 34
Calls
Call 1
Inputs
(* y (- 1 z))
(+ (* x (- 1 z)) (* y (- 1 z)))
(* x (- 1 z))
(* -1 (* x z))
(* -1 x)
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z))
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x)))))
(* y (* z (- (/ 1 z) 1)))
(* y (- (/ 1 z) 1))
(* -1 (* y z))
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z))
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y)))))
(* -1 (* y (* z (- 1 (/ 1 z)))))
(* -1 (* y (- 1 (/ 1 z))))
(+ x y)
(+ x (+ y (* -1 (* z (+ x y)))))
y
(+ y (* -1 (* y z)))
(/ y z)
(/ (+ y (* -1 (* y z))) z)
x
(+ x (* -1 (* x z)))
1
(+ 1 (* -1 z))
(* -1 z)
(* -1 (* z (+ x y)))
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(* z (+ (* -1 y) (/ y z)))
(* -1 y)
(- (/ y z) y)
(* z (+ (* -1 x) (/ x z)))
(* z (- (/ 1 z) 1))
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))
(* -1 (* z (+ y (* -1 (/ y z)))))
(* -1 (* z (+ x (* -1 (/ x z)))))
(* -1 (* z (- 1 (/ 1 z))))
Outputs
(* y (- 1 z))
(*.f64 (-.f64 #s(literal 1 binary64) z) y)
(+ (* x (- 1 z)) (* y (- 1 z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* x (- 1 z))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(* -1 (* x z))
(*.f64 (neg.f64 z) x)
(* -1 x)
(neg.f64 x)
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x)))))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* y (* z (- (/ 1 z) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) z) y)
(* y (- (/ 1 z) 1))
(-.f64 (/.f64 y z) y)
(* -1 (* y z))
(*.f64 (neg.f64 y) z)
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y)))))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* -1 (* y (* z (- 1 (/ 1 z)))))
(*.f64 (-.f64 #s(literal 1 binary64) z) y)
(* -1 (* y (- 1 (/ 1 z))))
(-.f64 (/.f64 y z) y)
(+ x y)
(+.f64 y x)
(+ x (+ y (* -1 (* z (+ x y)))))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
y
(+ y (* -1 (* y z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) y)
(/ y z)
(/.f64 y z)
(/ (+ y (* -1 (* y z))) z)
(-.f64 (/.f64 y z) y)
x
(+ x (* -1 (* x z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 z))
(-.f64 #s(literal 1 binary64) z)
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ x y)))
(*.f64 (-.f64 (neg.f64 x) y) z)
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* z (+ (* -1 y) (/ y z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) y)
(* -1 y)
(neg.f64 y)
(- (/ y z) y)
(-.f64 (/.f64 y z) y)
(* z (+ (* -1 x) (/ x z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(* z (- (/ 1 z) 1))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) z)
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* -1 (* z (+ y (* -1 (/ y z)))))
(*.f64 (-.f64 #s(literal 1 binary64) z) y)
(* -1 (* z (+ x (* -1 (/ x z)))))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(* -1 (* z (- 1 (/ 1 z))))
(*.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))

rewrite171.0ms (3.2%)

Memory
-2.2MiB live, 136.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027163
036163
189163
2454163
35205163
08556163
Stop Event
iter limit
node limit
iter limit
Counts
17 → 90
Calls
Call 1
Inputs
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) y) (*.f64 (-.f64 (/.f64 y z) y) z)))
#s(approx (* (- 1 z) y) (*.f64 (-.f64 (/.f64 y z) y) z))
(*.f64 (-.f64 (/.f64 y z) y) z)
(-.f64 (/.f64 y z) y)
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))
(*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)
#s(approx (- 1 z) #s(literal 1 binary64))
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y))
(*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y)
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) x) (*.f64 (neg.f64 x) z)))
#s(approx (* (- 1 z) x) (*.f64 (neg.f64 x) z))
(*.f64 (neg.f64 x) z)
(neg.f64 x)
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) y) (*.f64 (neg.f64 z) y)))
#s(approx (* (- 1 z) y) (*.f64 (neg.f64 z) y))
(*.f64 (neg.f64 z) y)
(neg.f64 z)
Outputs
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) y) (*.f64 (-.f64 (/.f64 y z) y) z)))
#s(approx (* (- 1 z) y) (*.f64 (-.f64 (/.f64 y z) y) z))
(*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 y) y (pow.f64 (/.f64 y z) #s(literal 2 binary64))) z) (-.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (-.f64 y (/.f64 y z)) (pow.f64 (/.f64 y z) #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 y) y (pow.f64 (/.f64 y z) #s(literal 2 binary64))) z) (fma.f64 (neg.f64 y) y (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (-.f64 (/.f64 y z) y))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) z) (-.f64 (pow.f64 (/.f64 y z) #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 (/.f64 y z) y) y) #s(literal 2 binary64)))) (-.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (*.f64 (+.f64 (/.f64 y z) y) y)))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) z) (+.f64 (pow.f64 (*.f64 (+.f64 (/.f64 y z) y) y) #s(literal 3 binary64)) (pow.f64 (/.f64 y z) #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 (/.f64 y z) y) y) (-.f64 (*.f64 (+.f64 (/.f64 y z) y) y) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (pow.f64 (/.f64 y z) #s(literal 4 binary64))))
(*.f64 (*.f64 (-.f64 (/.f64 y z) y) #s(literal 1 binary64)) z)
(*.f64 (-.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 z (fma.f64 (+.f64 (/.f64 y z) y) y (pow.f64 (/.f64 y z) #s(literal 2 binary64)))))
(*.f64 (fma.f64 (neg.f64 y) y (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (/.f64 z (+.f64 (/.f64 y z) y)))
(*.f64 (*.f64 (-.f64 (/.f64 y z) y) z) #s(literal 1 binary64))
(*.f64 (-.f64 (/.f64 y z) y) z)
(*.f64 z (*.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) y)))
(*.f64 z (-.f64 (/.f64 y z) y))
(*.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 y z) y) z))
(/.f64 (*.f64 (neg.f64 (fma.f64 (neg.f64 y) y (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) z) (neg.f64 (+.f64 (/.f64 y z) y)))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) z) (neg.f64 (fma.f64 (+.f64 (/.f64 y z) y) y (pow.f64 (/.f64 y z) #s(literal 2 binary64)))))
(/.f64 (*.f64 z (neg.f64 (fma.f64 (neg.f64 y) y (pow.f64 (/.f64 y z) #s(literal 2 binary64))))) (neg.f64 (+.f64 (/.f64 y z) y)))
(/.f64 (*.f64 z (neg.f64 (-.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 (+.f64 (/.f64 y z) y) y (pow.f64 (/.f64 y z) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (neg.f64 y) y (pow.f64 (/.f64 y z) #s(literal 2 binary64))) z)) (neg.f64 (+.f64 (/.f64 y z) y)))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) z)) (neg.f64 (fma.f64 (+.f64 (/.f64 y z) y) y (pow.f64 (/.f64 y z) #s(literal 2 binary64)))))
(/.f64 (*.f64 (fma.f64 (neg.f64 y) y (pow.f64 (/.f64 y z) #s(literal 2 binary64))) z) (+.f64 (/.f64 y z) y))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) z) (fma.f64 (+.f64 (/.f64 y z) y) y (pow.f64 (/.f64 y z) #s(literal 2 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 (pow.f64 (/.f64 y z) #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 (/.f64 y z) y) y) #s(literal 2 binary64)))) (-.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (*.f64 (+.f64 (/.f64 y z) y) y)))
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (+.f64 (/.f64 y z) y) y) #s(literal 3 binary64)) (pow.f64 (/.f64 y z) #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 (/.f64 y z) y) y) (-.f64 (*.f64 (+.f64 (/.f64 y z) y) y) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (pow.f64 (/.f64 y z) #s(literal 4 binary64))))
(*.f64 (/.f64 (fma.f64 (neg.f64 y) y (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (fma.f64 (neg.f64 y) y (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (-.f64 (/.f64 y z) y))
(*.f64 (/.f64 (fma.f64 (neg.f64 y) y (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (-.f64 y (/.f64 y z)) (pow.f64 (/.f64 y z) #s(literal 2 binary64))))
(*.f64 (+.f64 (/.f64 y z) y) (/.f64 (-.f64 (/.f64 y z) y) (+.f64 (/.f64 y z) y)))
(*.f64 (fma.f64 (+.f64 (/.f64 y z) y) y (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 y z) y) (fma.f64 (+.f64 (/.f64 y z) y) y (pow.f64 (/.f64 y z) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (+.f64 (/.f64 y z) y)) #s(literal 2 binary64)) (pow.f64 (*.f64 y (/.f64 y (+.f64 (/.f64 y z) y))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (+.f64 (/.f64 y z) y)) (*.f64 y (/.f64 y (+.f64 (/.f64 y z) y)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 y z) y) y (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 y z) y) y (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 y z) y) y (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 y z) y) y (pow.f64 (/.f64 y z) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (+.f64 (/.f64 y z) y)) #s(literal 3 binary64)) (pow.f64 (*.f64 y (/.f64 y (+.f64 (/.f64 y z) y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (+.f64 (/.f64 y z) y)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 y (/.f64 y (+.f64 (/.f64 y z) y))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (+.f64 (/.f64 y z) y)) (*.f64 y (/.f64 y (+.f64 (/.f64 y z) y)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 y z) y) y (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 y z) y) y (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 y z) y) y (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 y z) y) y (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 y z) y) y (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 y z) y) y (pow.f64 (/.f64 y z) #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (neg.f64 y) y (pow.f64 (/.f64 y z) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (/.f64 y z) y))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 (/.f64 y z) y) y (pow.f64 (/.f64 y z) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (+.f64 (/.f64 y z) y)) (*.f64 (+.f64 (/.f64 y z) y) (*.f64 y y))) (pow.f64 (+.f64 (/.f64 y z) y) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 y z) y) y (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (*.f64 (fma.f64 (+.f64 (/.f64 y z) y) y (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 (/.f64 y z) y) y (pow.f64 (/.f64 y z) #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 y z) #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (fma.f64 y y (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (+.f64 (/.f64 y z) y)))
(/.f64 (-.f64 (pow.f64 (/.f64 y z) #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y y (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (pow.f64 (/.f64 y z) #s(literal 4 binary64))) (+.f64 (/.f64 y z) y)))
(/.f64 (-.f64 (pow.f64 (/.f64 y z) #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 (-.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (+.f64 (/.f64 y z) y) y (pow.f64 (/.f64 y z) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 y z) #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) (*.f64 (+.f64 (pow.f64 (/.f64 y z) #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (*.f64 (/.f64 y z) y) #s(literal 3 binary64)))) (fma.f64 (+.f64 (/.f64 y z) y) y (pow.f64 (/.f64 y z) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (+.f64 (/.f64 y z) y) y (pow.f64 (/.f64 y z) #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 y) y (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 y z) y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 (/.f64 y z) y) y (pow.f64 (/.f64 y z) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (neg.f64 y) y (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (+.f64 (/.f64 y z) y))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (neg.f64 y) y (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (+.f64 (/.f64 y z) y)))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (+.f64 (/.f64 y z) y) y (pow.f64 (/.f64 y z) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (fma.f64 (neg.f64 y) y (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (neg.f64 (+.f64 (/.f64 y z) y))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (fma.f64 (+.f64 (/.f64 y z) y) y (pow.f64 (/.f64 y z) #s(literal 2 binary64))))))
(fma.f64 (/.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (-.f64 y (/.f64 y z)) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 (/.f64 y z) y)))
(fma.f64 (/.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (fma.f64 (neg.f64 y) y (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (-.f64 (/.f64 y z) y) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 (/.f64 y z) y)))
(fma.f64 (/.f64 (neg.f64 y) z) (/.f64 (/.f64 (neg.f64 y) z) (+.f64 (/.f64 y z) y)) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 (/.f64 y z) y)))
(fma.f64 (fabs.f64 (/.f64 y z)) (/.f64 (fabs.f64 (/.f64 y z)) (+.f64 (/.f64 y z) y)) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 (/.f64 y z) y)))
(fma.f64 (/.f64 y z) (/.f64 (/.f64 y z) (+.f64 (/.f64 y z) y)) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 (/.f64 y z) y)))
(-.f64 (/.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (+.f64 (/.f64 y z) y)) (*.f64 y (/.f64 y (+.f64 (/.f64 y z) y))))
(-.f64 (/.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 y z) y) y (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 y z) y) y (pow.f64 (/.f64 y z) #s(literal 2 binary64)))))
(-.f64 (/.f64 y z) y)
(+.f64 (/.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (+.f64 (/.f64 y z) y)) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 (/.f64 y z) y)))
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))
(*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)
(*.f64 x #s(approx (- 1 z) #s(literal 1 binary64)))
#s(approx (- 1 z) #s(literal 1 binary64))
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y))
(*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y)
(*.f64 y #s(approx (- 1 z) #s(literal 1 binary64)))
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) x) (*.f64 (neg.f64 x) z)))
#s(approx (* (- 1 z) x) (*.f64 (neg.f64 x) z))
(*.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) z)
(*.f64 (neg.f64 z) x)
(*.f64 (*.f64 (neg.f64 x) z) #s(literal 1 binary64))
(*.f64 (neg.f64 x) z)
(*.f64 z (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 z (neg.f64 x))
(*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) z))
(*.f64 x (neg.f64 z))
(neg.f64 (*.f64 z x))
(neg.f64 x)
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) y) (*.f64 (neg.f64 z) y)))
#s(approx (* (- 1 z) y) (*.f64 (neg.f64 z) y))
(*.f64 (neg.f64 y) z)
(*.f64 (neg.f64 z) y)
(*.f64 z (*.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 z (neg.f64 y))
(*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) y))
(*.f64 y (neg.f64 z))
(neg.f64 (*.f64 z y))
(*.f64 #s(literal -1 binary64) z)
(*.f64 (neg.f64 z) #s(literal 1 binary64))
(*.f64 z #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (neg.f64 z))
(neg.f64 z)

eval31.0ms (0.6%)

Memory
-17.7MiB live, 37.0MiB allocated
Compiler

Compiled 3 457 to 479 computations (86.1% saved)

prune7.0ms (0.1%)

Memory
14.3MiB live, 14.2MiB allocated
Pruning

11 alts after pruning (2 fresh and 9 done)

PrunedKeptTotal
New1101111
Fresh011
Picked055
Done145
Total11111122
Accuracy
100.0%
Counts
122 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
35.2%
(*.f64 (-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x))) #s(approx (- 1 z) #s(literal 1 binary64)))
100.0%
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
46.1%
(*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z)))
53.7%
#s(approx (* (+ x y) (- 1 z)) (+.f64 y x))
53.4%
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y))
48.7%
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
27.1%
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y))
27.6%
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))
43.8%
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) y) (*.f64 (-.f64 (/.f64 y z) y) z)))
27.3%
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) y) (*.f64 (neg.f64 z) y)))
22.6%
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) x) (*.f64 (neg.f64 x) z)))
Compiler

Compiled 162 to 120 computations (25.9% saved)

simplify147.0ms (2.8%)

Memory
3.8MiB live, 137.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y y)
cost-diff0
(/.f64 (*.f64 y y) (-.f64 y x))
cost-diff0
(*.f64 (-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x))) #s(approx (- 1 z) #s(literal 1 binary64)))
cost-diff12
(-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)))
cost-diff0
(+.f64 y x)
cost-diff0
#s(approx (* (+ x y) (- 1 z)) (+.f64 y x))
Iterations

Useful iterations: 8 (0.0ms)

IterNodesCost
01783
02571
14271
28871
317868
436367
571767
6118767
7168761
8377659
9738159
0844459
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (* (+ x y) (- 1 z)) (+.f64 y x))
(+.f64 y x)
y
x
(*.f64 (-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x))) #s(approx (- 1 z) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)))
(/.f64 (*.f64 y y) (-.f64 y x))
(*.f64 y y)
y
(-.f64 y x)
x
(/.f64 (*.f64 x x) (-.f64 y x))
(*.f64 x x)
#s(approx (- 1 z) #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
#s(approx (* (+ x y) (- 1 z)) (+.f64 y x))
(+.f64 y x)
y
x
(*.f64 (-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x))) #s(approx (- 1 z) #s(literal 1 binary64)))
(*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) (+.f64 y x))
(-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)))
(+.f64 y x)
(/.f64 (*.f64 y y) (-.f64 y x))
(*.f64 (/.f64 y (-.f64 y x)) y)
(*.f64 y y)
y
(-.f64 y x)
x
(/.f64 (*.f64 x x) (-.f64 y x))
(*.f64 (/.f64 x (-.f64 y x)) x)
(*.f64 x x)
#s(approx (- 1 z) #s(literal 1 binary64))
#s(literal 1 binary64)

localize77.0ms (1.4%)

Memory
-25.9MiB live, 76.1MiB allocated
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
accuracy0.0078125
(-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)))
accuracy16.903475366072527
(/.f64 (*.f64 x x) (-.f64 y x))
accuracy17.382911772569027
(/.f64 (*.f64 y y) (-.f64 y x))
accuracy29.63647954938079
#s(approx (- 1 z) #s(literal 1 binary64))
accuracy0.0
(+.f64 y x)
accuracy29.59774348714943
#s(approx (* (+ x y) (- 1 z)) (+.f64 y x))
Samples
67.0ms255×0valid
0.0ms5exit
Compiler

Compiled 77 to 17 computations (77.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 57.0ms
ival-mult: 45.0ms (78.4% of total)
ival-sub: 7.0ms (12.2% of total)
ival-div: 3.0ms (5.2% of total)
ival-add: 3.0ms (5.2% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
16.1MiB live, 16.1MiB allocated
Counts
8 → 72
Calls
Call 1
Inputs
#s(approx (* (+ x y) (- 1 z)) (+.f64 y x))
(+.f64 y x)
(-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)))
(*.f64 (-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x))) #s(approx (- 1 z) #s(literal 1 binary64)))
(/.f64 (*.f64 y y) (-.f64 y x))
(*.f64 y y)
#s(approx (- 1 z) #s(literal 1 binary64))
(/.f64 (*.f64 x x) (-.f64 y x))
Outputs
(* y (- 1 z))
(+ (* x (- 1 z)) (* y (- 1 z)))
y
(+ x y)
(+ y (* x (+ 1 (/ x y))))
(+ y (* x (+ 1 (* x (+ (/ 1 y) (/ x (pow y 2)))))))
(/ (pow x 2) y)
(* (pow x 2) (+ (/ 1 y) (/ x (pow y 2))))
(* (pow x 2) (+ (* x (+ (/ 1 (pow y 2)) (/ x (pow y 3)))) (/ 1 y)))
(* (pow x 2) (+ (* x (+ (* x (+ (/ 1 (pow y 3)) (/ x (pow y 4)))) (/ 1 (pow y 2)))) (/ 1 y)))
(* x (- 1 z))
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z))
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (/ y x) (/ (pow y 2) (pow x 2))))))
(* x (- (+ 1 (+ (/ (* y (- 1 z)) x) (/ (* (+ (* -1 (pow y 2)) (pow y 2)) (- 1 z)) (pow x 2)))) z))
(* -1 (/ (pow y 2) x))
(/ (+ (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)
(/ (- (+ (* -1 (/ (pow y 4) (pow x 2))) (* -1 (pow y 2))) (/ (pow y 3) x)) x)
(/ (- (+ (* -1 (/ (pow y 5) (pow x 3))) (* -1 (pow y 2))) (+ (/ (pow y 3) x) (/ (pow y 4) (pow x 2)))) x)
(* -1 x)
(* x (- (* -1 (/ y x)) 1))
(* x (- (* -1 (/ (pow y 2) (pow x 2))) (+ 1 (/ y x))))
(* x (- (* -1 (/ (pow y 3) (pow x 3))) (+ 1 (+ (/ y x) (/ (pow y 2) (pow x 2))))))
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x)))))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ (+ y (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) x))) x)) 1)))
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (+ (* -1 (/ (* (+ (* -1 (pow y 2)) (pow y 2)) (- 1 z)) x)) (* y (- 1 z))) x)))))
(* -1 (/ (+ (/ (pow y 3) x) (pow y 2)) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow y 4) x)) (pow y 3)) x)) (pow y 2)) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow y 5) x) (* -1 (pow y 4))) x)) (pow y 3)) x)) (pow y 2)) x))
(* -1 (* x (+ 1 (/ y x))))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) y) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (* -1 (pow y 2))) x)) y) x)))))
(- y (* -1 x))
(* (pow y 2) (- (* -1 (/ y (pow x 2))) (/ 1 x)))
(* (pow y 2) (- (* y (- (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))
(* (pow y 2) (- (* y (- (* y (- (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)))
(pow y 2)
(+ (* -1 x) (* -1 y))
(+ (* -1 x) (* y (- (* -1 (/ y x)) 1)))
(+ (* -1 x) (* y (- (* y (- (* -1 (/ y (pow x 2))) (/ 1 x))) 1)))
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z))
(* y (+ 1 (/ x y)))
(* y (- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) (pow y 2)))) (* -1 (/ x y))))
(* y (- (+ 1 (+ (* -1 (/ (* (+ (* -1 (pow x 2)) (pow x 2)) (- 1 z)) (pow y 2))) (/ (* x (- 1 z)) y))) z))
(* y (- (+ 1 (/ (pow x 2) (pow y 2))) (* -1 (/ x y))))
(* y (- (+ 1 (/ (pow x 3) (pow y 3))) (+ (* -1 (/ x y)) (* -1 (/ (pow x 2) (pow y 2))))))
(/ (+ (/ (pow x 3) y) (pow x 2)) y)
(/ (- (+ (/ (pow x 4) (pow y 2)) (pow x 2)) (* -1 (/ (pow x 3) y))) y)
(/ (- (+ (/ (pow x 5) (pow y 3)) (pow x 2)) (+ (* -1 (/ (pow x 3) y)) (* -1 (/ (pow x 4) (pow y 2))))) y)
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y)))))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ (- (/ (pow x 2) y) (* -1 x)) y)) 1)))
(* -1 (* y (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (pow x 2)) y)) (* -1 x)) y)) 1)))
(* -1 (/ (+ (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y))
(* -1 (/ (+ (* -1 (/ (+ (/ (pow x 4) y) (pow x 3)) y)) (* -1 (pow x 2))) y))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow x 5) y)) (* -1 (pow x 4))) y)) (pow x 3)) y)) (* -1 (pow x 2))) y))
(+ x (+ y (* -1 (* z (+ x y)))))
(- (/ (pow y 2) (- y x)) (/ (pow x 2) (- y x)))
(- (+ (* -1 (* z (- (/ (pow y 2) (- y x)) (/ (pow x 2) (- y x))))) (/ (pow y 2) (- y x))) (/ (pow x 2) (- y x)))
1
(+ 1 (* -1 z))
(* -1 (* z (+ x y)))
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(* -1 (* z (- (/ (pow y 2) (- y x)) (/ (pow x 2) (- y x)))))
(* z (- (+ (* -1 (- (/ (pow y 2) (- y x)) (/ (pow x 2) (- y x)))) (/ (pow y 2) (* z (- y x)))) (/ (pow x 2) (* z (- y x)))))
(* -1 z)
(* z (- (/ 1 z) 1))
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))
(* -1 (* z (- (+ (* -1 (/ (- (/ (pow y 2) (- y x)) (/ (pow x 2) (- y x))) z)) (/ (pow y 2) (- y x))) (/ (pow x 2) (- y x)))))
(* -1 (* z (- 1 (/ 1 z))))
Calls

9 calls:

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

simplify207.0ms (3.9%)

Memory
-4.0MiB live, 142.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0321995
11000935
23477898
08468869
Stop Event
iter limit
node limit
Counts
72 → 70
Calls
Call 1
Inputs
(* y (- 1 z))
(+ (* x (- 1 z)) (* y (- 1 z)))
y
(+ x y)
(+ y (* x (+ 1 (/ x y))))
(+ y (* x (+ 1 (* x (+ (/ 1 y) (/ x (pow y 2)))))))
(/ (pow x 2) y)
(* (pow x 2) (+ (/ 1 y) (/ x (pow y 2))))
(* (pow x 2) (+ (* x (+ (/ 1 (pow y 2)) (/ x (pow y 3)))) (/ 1 y)))
(* (pow x 2) (+ (* x (+ (* x (+ (/ 1 (pow y 3)) (/ x (pow y 4)))) (/ 1 (pow y 2)))) (/ 1 y)))
(* x (- 1 z))
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z))
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (/ y x) (/ (pow y 2) (pow x 2))))))
(* x (- (+ 1 (+ (/ (* y (- 1 z)) x) (/ (* (+ (* -1 (pow y 2)) (pow y 2)) (- 1 z)) (pow x 2)))) z))
(* -1 (/ (pow y 2) x))
(/ (+ (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)
(/ (- (+ (* -1 (/ (pow y 4) (pow x 2))) (* -1 (pow y 2))) (/ (pow y 3) x)) x)
(/ (- (+ (* -1 (/ (pow y 5) (pow x 3))) (* -1 (pow y 2))) (+ (/ (pow y 3) x) (/ (pow y 4) (pow x 2)))) x)
(* -1 x)
(* x (- (* -1 (/ y x)) 1))
(* x (- (* -1 (/ (pow y 2) (pow x 2))) (+ 1 (/ y x))))
(* x (- (* -1 (/ (pow y 3) (pow x 3))) (+ 1 (+ (/ y x) (/ (pow y 2) (pow x 2))))))
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x)))))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ (+ y (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) x))) x)) 1)))
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (+ (* -1 (/ (* (+ (* -1 (pow y 2)) (pow y 2)) (- 1 z)) x)) (* y (- 1 z))) x)))))
(* -1 (/ (+ (/ (pow y 3) x) (pow y 2)) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow y 4) x)) (pow y 3)) x)) (pow y 2)) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow y 5) x) (* -1 (pow y 4))) x)) (pow y 3)) x)) (pow y 2)) x))
(* -1 (* x (+ 1 (/ y x))))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) y) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (* -1 (pow y 2))) x)) y) x)))))
(- y (* -1 x))
(* (pow y 2) (- (* -1 (/ y (pow x 2))) (/ 1 x)))
(* (pow y 2) (- (* y (- (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))
(* (pow y 2) (- (* y (- (* y (- (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)))
(pow y 2)
(+ (* -1 x) (* -1 y))
(+ (* -1 x) (* y (- (* -1 (/ y x)) 1)))
(+ (* -1 x) (* y (- (* y (- (* -1 (/ y (pow x 2))) (/ 1 x))) 1)))
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z))
(* y (+ 1 (/ x y)))
(* y (- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) (pow y 2)))) (* -1 (/ x y))))
(* y (- (+ 1 (+ (* -1 (/ (* (+ (* -1 (pow x 2)) (pow x 2)) (- 1 z)) (pow y 2))) (/ (* x (- 1 z)) y))) z))
(* y (- (+ 1 (/ (pow x 2) (pow y 2))) (* -1 (/ x y))))
(* y (- (+ 1 (/ (pow x 3) (pow y 3))) (+ (* -1 (/ x y)) (* -1 (/ (pow x 2) (pow y 2))))))
(/ (+ (/ (pow x 3) y) (pow x 2)) y)
(/ (- (+ (/ (pow x 4) (pow y 2)) (pow x 2)) (* -1 (/ (pow x 3) y))) y)
(/ (- (+ (/ (pow x 5) (pow y 3)) (pow x 2)) (+ (* -1 (/ (pow x 3) y)) (* -1 (/ (pow x 4) (pow y 2))))) y)
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y)))))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ (- (/ (pow x 2) y) (* -1 x)) y)) 1)))
(* -1 (* y (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (pow x 2)) y)) (* -1 x)) y)) 1)))
(* -1 (/ (+ (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y))
(* -1 (/ (+ (* -1 (/ (+ (/ (pow x 4) y) (pow x 3)) y)) (* -1 (pow x 2))) y))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow x 5) y)) (* -1 (pow x 4))) y)) (pow x 3)) y)) (* -1 (pow x 2))) y))
(+ x (+ y (* -1 (* z (+ x y)))))
(- (/ (pow y 2) (- y x)) (/ (pow x 2) (- y x)))
(- (+ (* -1 (* z (- (/ (pow y 2) (- y x)) (/ (pow x 2) (- y x))))) (/ (pow y 2) (- y x))) (/ (pow x 2) (- y x)))
1
(+ 1 (* -1 z))
(* -1 (* z (+ x y)))
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(* -1 (* z (- (/ (pow y 2) (- y x)) (/ (pow x 2) (- y x)))))
(* z (- (+ (* -1 (- (/ (pow y 2) (- y x)) (/ (pow x 2) (- y x)))) (/ (pow y 2) (* z (- y x)))) (/ (pow x 2) (* z (- y x)))))
(* -1 z)
(* z (- (/ 1 z) 1))
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))
(* -1 (* z (- (+ (* -1 (/ (- (/ (pow y 2) (- y x)) (/ (pow x 2) (- y x))) z)) (/ (pow y 2) (- y x))) (/ (pow x 2) (- y x)))))
(* -1 (* z (- 1 (/ 1 z))))
Outputs
(* y (- 1 z))
(*.f64 (-.f64 #s(literal 1 binary64) z) y)
(+ (* x (- 1 z)) (* y (- 1 z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
y
(+ x y)
(+.f64 y x)
(+ y (* x (+ 1 (/ x y))))
(fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) x y)
(+ y (* x (+ 1 (* x (+ (/ 1 y) (/ x (pow y 2)))))))
(fma.f64 (/.f64 (fma.f64 (/.f64 x y) x x) y) x (+.f64 y x))
(/ (pow x 2) y)
(*.f64 (/.f64 x y) x)
(* (pow x 2) (+ (/ 1 y) (/ x (pow y 2))))
(/.f64 (*.f64 x (fma.f64 (/.f64 x y) x x)) y)
(* (pow x 2) (+ (* x (+ (/ 1 (pow y 2)) (/ x (pow y 3)))) (/ 1 y)))
(*.f64 x (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x y) x x) y) x x) y))
(* (pow x 2) (+ (* x (+ (* x (+ (/ 1 (pow y 3)) (/ x (pow y 4)))) (/ 1 (pow y 2)))) (/ 1 y)))
(*.f64 (*.f64 (fma.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x (/.f64 (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y) y)) x (/.f64 #s(literal 1 binary64) y)) x) x)
(* x (- 1 z))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z))
(*.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal -1 binary64) (/.f64 y x)))) x)
x
(* x (+ 1 (/ y x)))
(fma.f64 (/.f64 y x) x x)
(* x (+ 1 (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (/ y x) (/ (pow y 2) (pow x 2))))))
(fma.f64 (/.f64 y x) x x)
(* x (- (+ 1 (+ (/ (* y (- 1 z)) x) (/ (* (+ (* -1 (pow y 2)) (pow y 2)) (- 1 z)) (pow x 2)))) z))
(*.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal -1 binary64) (/.f64 y x)))) x)
(* -1 (/ (pow y 2) x))
(*.f64 y (/.f64 y (neg.f64 x)))
(/ (+ (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)
(/.f64 (fma.f64 y y (/.f64 (pow.f64 y #s(literal 3 binary64)) x)) (neg.f64 x))
(/ (- (+ (* -1 (/ (pow y 4) (pow x 2))) (* -1 (pow y 2))) (/ (pow y 3) x)) x)
(/.f64 (fma.f64 (neg.f64 y) y (/.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (neg.f64 x)) (pow.f64 y #s(literal 3 binary64))) x)) x)
(/ (- (+ (* -1 (/ (pow y 5) (pow x 3))) (* -1 (pow y 2))) (+ (/ (pow y 3) x) (/ (pow y 4) (pow x 2)))) x)
(/.f64 (-.f64 (neg.f64 (fma.f64 y y (/.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) (pow.f64 y #s(literal 3 binary64))) x)) x)
(* -1 x)
(neg.f64 x)
(* x (- (* -1 (/ y x)) 1))
(neg.f64 (fma.f64 (/.f64 y x) x x))
(* x (- (* -1 (/ (pow y 2) (pow x 2))) (+ 1 (/ y x))))
(*.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 y) (/.f64 y x) (neg.f64 y)) x) #s(literal 1 binary64)) x)
(* x (- (* -1 (/ (pow y 3) (pow x 3))) (+ 1 (+ (/ y x) (/ (pow y 2) (pow x 2))))))
(*.f64 (-.f64 (-.f64 (pow.f64 (/.f64 y (neg.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 y (/.f64 y x) y) x)) x)
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x)))))
(*.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal -1 binary64) (/.f64 y x)))) x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(neg.f64 (neg.f64 (fma.f64 (/.f64 y x) x x)))
(* -1 (* x (- (* -1 (/ (+ y (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) x))) x)) 1)))
(neg.f64 (neg.f64 (fma.f64 (/.f64 y x) x x)))
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (+ (* -1 (/ (* (+ (* -1 (pow y 2)) (pow y 2)) (- 1 z)) x)) (* y (- 1 z))) x)))))
(*.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal -1 binary64) (/.f64 y x)))) x)
(* -1 (/ (+ (/ (pow y 3) x) (pow y 2)) x))
(/.f64 (fma.f64 y y (/.f64 (pow.f64 y #s(literal 3 binary64)) x)) (neg.f64 x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow y 4) x)) (pow y 3)) x)) (pow y 2)) x))
(/.f64 (fma.f64 (neg.f64 y) y (/.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (neg.f64 x)) (pow.f64 y #s(literal 3 binary64))) x)) x)
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow y 5) x) (* -1 (pow y 4))) x)) (pow y 3)) x)) (pow y 2)) x))
(/.f64 (fma.f64 y y (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (pow.f64 y #s(literal 5 binary64)) x) (pow.f64 y #s(literal 4 binary64))) (neg.f64 x)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 x))) (neg.f64 x))
(* -1 (* x (+ 1 (/ y x))))
(neg.f64 (fma.f64 (/.f64 y x) x x))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) y) x)))))
(fma.f64 (/.f64 (fma.f64 (neg.f64 y) (/.f64 y x) (neg.f64 y)) x) x (neg.f64 x))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (* -1 (pow y 2))) x)) y) x)))))
(fma.f64 (/.f64 (-.f64 (/.f64 (fma.f64 y y (/.f64 (pow.f64 y #s(literal 3 binary64)) x)) (neg.f64 x)) y) x) x (neg.f64 x))
(- y (* -1 x))
(+.f64 y x)
(* (pow y 2) (- (* -1 (/ y (pow x 2))) (/ 1 x)))
(*.f64 (-.f64 (/.f64 (/.f64 y (neg.f64 x)) x) (/.f64 #s(literal 1 binary64) x)) (*.f64 y y))
(* (pow y 2) (- (* y (- (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))
(*.f64 (-.f64 (*.f64 (-.f64 (/.f64 (neg.f64 y) (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) y) (/.f64 #s(literal 1 binary64) x)) (*.f64 y y))
(* (pow y 2) (- (* y (- (* y (- (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (/.f64 (neg.f64 y) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) y) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) y) (/.f64 #s(literal 1 binary64) x)) (*.f64 y y))
(pow y 2)
(*.f64 y y)
(+ (* -1 x) (* -1 y))
(-.f64 (neg.f64 x) y)
(+ (* -1 x) (* y (- (* -1 (/ y x)) 1)))
(fma.f64 (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64)) y (neg.f64 x))
(+ (* -1 x) (* y (- (* y (- (* -1 (/ y (pow x 2))) (/ 1 x))) 1)))
(fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 (/.f64 y (neg.f64 x)) x) (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)) y (neg.f64 x))
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z))
(*.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y) #s(literal 1 binary64)) z) y)
(* y (+ 1 (/ x y)))
(fma.f64 (/.f64 x y) y y)
(* y (- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) (pow y 2)))) (* -1 (/ x y))))
(fma.f64 (/.f64 x y) y y)
(* y (- (+ 1 (+ (* -1 (/ (* (+ (* -1 (pow x 2)) (pow x 2)) (- 1 z)) (pow y 2))) (/ (* x (- 1 z)) y))) z))
(*.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y) #s(literal 1 binary64)) z) y)
(* y (- (+ 1 (/ (pow x 2) (pow y 2))) (* -1 (/ x y))))
(fma.f64 (/.f64 (fma.f64 (/.f64 x y) x x) y) y y)
(* y (- (+ 1 (/ (pow x 3) (pow y 3))) (+ (* -1 (/ x y)) (* -1 (/ (pow x 2) (pow y 2))))))
(fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x y) x x) y) x x) y) y y)
(/ (+ (/ (pow x 3) y) (pow x 2)) y)
(/.f64 (*.f64 x (fma.f64 (/.f64 x y) x x)) y)
(/ (- (+ (/ (pow x 4) (pow y 2)) (pow x 2)) (* -1 (/ (pow x 3) y))) y)
(/.f64 (fma.f64 x x (/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) y)
(/ (- (+ (/ (pow x 5) (pow y 3)) (pow x 2)) (+ (* -1 (/ (pow x 3) y)) (* -1 (/ (pow x 4) (pow y 2))))) y)
(/.f64 (fma.f64 x x (+.f64 (/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 3 binary64))))) y)
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y)))))
(*.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y) #s(literal 1 binary64)) z) y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
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(* -1 (* y (- (* -1 (/ (- (/ (pow x 2) y) (* -1 x)) y)) 1)))
(*.f64 (neg.f64 y) (-.f64 (*.f64 (/.f64 x y) (-.f64 #s(literal -1 binary64) (/.f64 x y))) #s(literal 1 binary64)))
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(/.f64 (*.f64 x (fma.f64 (/.f64 x y) x x)) y)
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(+ x (+ y (* -1 (* z (+ x y)))))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(- (/ (pow y 2) (- y x)) (/ (pow x 2) (- y x)))
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1
#s(literal 1 binary64)
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(-.f64 #s(literal 1 binary64) z)
(* -1 (* z (+ x y)))
(*.f64 (-.f64 (neg.f64 x) y) z)
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(*.f64 (-.f64 (-.f64 (/.f64 (+.f64 y x) z) x) y) z)
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(*.f64 (neg.f64 z) (fma.f64 y (/.f64 y (-.f64 y x)) (*.f64 (neg.f64 x) (/.f64 x (-.f64 y x)))))
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(*.f64 (fma.f64 (fma.f64 y (/.f64 y (-.f64 y x)) (*.f64 (neg.f64 x) (/.f64 x (-.f64 y x)))) #s(literal -1 binary64) (/.f64 (fma.f64 y (/.f64 y (-.f64 y x)) (*.f64 (neg.f64 x) (/.f64 x (-.f64 y x)))) z)) z)
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(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) z)
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(*.f64 (-.f64 (-.f64 (/.f64 (+.f64 y x) z) x) y) z)
(* -1 (* z (- (+ (* -1 (/ (- (/ (pow y 2) (- y x)) (/ (pow x 2) (- y x))) z)) (/ (pow y 2) (- y x))) (/ (pow x 2) (- y x)))))
(*.f64 (-.f64 (fma.f64 y (/.f64 y (-.f64 y x)) (/.f64 (fma.f64 y (/.f64 y (-.f64 y x)) (*.f64 (neg.f64 x) (/.f64 x (-.f64 y x)))) (neg.f64 z))) (*.f64 x (/.f64 x (-.f64 y x)))) (neg.f64 z))
(* -1 (* z (- 1 (/ 1 z))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) (neg.f64 z))

rewrite187.0ms (3.5%)

Memory
6.0MiB live, 196.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01772
02548
110448
297248
0878948
Stop Event
iter limit
node limit
iter limit
Counts
8 → 419
Calls
Call 1
Inputs
#s(approx (* (+ x y) (- 1 z)) (+.f64 y x))
(+.f64 y x)
(-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)))
(*.f64 (-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x))) #s(approx (- 1 z) #s(literal 1 binary64)))
(/.f64 (*.f64 y y) (-.f64 y x))
(*.f64 y y)
#s(approx (- 1 z) #s(literal 1 binary64))
(/.f64 (*.f64 x x) (-.f64 y x))
Outputs
#s(approx (* (+ x y) (- 1 z)) (+.f64 y x))
(*.f64 (/.f64 (neg.f64 (+.f64 y x)) (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 y x) #s(literal 2 binary64))))) (/.f64 (neg.f64 (-.f64 y x)) (/.f64 (fma.f64 x x (*.f64 y y)) (-.f64 y x))))
(*.f64 (/.f64 (neg.f64 (+.f64 y x)) (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (fma.f64 (neg.f64 x) x (*.f64 y y)))) (/.f64 (neg.f64 (-.f64 y x)) (-.f64 x y)))
(*.f64 (/.f64 (neg.f64 (+.f64 y x)) (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (-.f64 y x) #s(literal 3 binary64))))) (/.f64 (neg.f64 (-.f64 y x)) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 y x) #s(literal 2 binary64))))))
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(*.f64 (/.f64 (neg.f64 (+.f64 y x)) (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (neg.f64 (-.f64 y x)) (fma.f64 y (-.f64 y x) (*.f64 x x))))
(*.f64 (/.f64 (neg.f64 (+.f64 y x)) (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (fma.f64 (*.f64 (neg.f64 y) y) (-.f64 y x) (*.f64 (*.f64 (-.f64 y x) x) x)))) (/.f64 (neg.f64 (-.f64 y x)) (pow.f64 (-.f64 y x) #s(literal 2 binary64))))
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(*.f64 (/.f64 (+.f64 y (neg.f64 x)) (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 y x) #s(literal 2 binary64))))) (/.f64 (-.f64 y (neg.f64 x)) (/.f64 (fma.f64 x x (*.f64 y y)) (-.f64 y x))))
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(*.f64 (/.f64 (+.f64 y x) (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (fma.f64 (neg.f64 x) x (*.f64 y y)))) (/.f64 (-.f64 y x) (-.f64 x y)))
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(*.f64 (/.f64 (+.f64 y x) (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (fma.f64 (neg.f64 y) y (*.f64 x x)))) (/.f64 (-.f64 y x) (-.f64 y x)))
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(*.f64 (/.f64 y (-.f64 y x)) y)
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(/.f64 (*.f64 y y) (-.f64 y x))
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(*.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 y))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)))
(*.f64 (neg.f64 (neg.f64 y)) y)
(*.f64 (neg.f64 y) (neg.f64 (neg.f64 (neg.f64 y))))
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 y (neg.f64 (neg.f64 y)))
(*.f64 y y)
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 y)) #s(literal 2 binary64))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 y) y))
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 y) y))
(fabs.f64 (*.f64 y y))
(exp.f64 (*.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))))
#s(approx (- 1 z) #s(literal 1 binary64))
(*.f64 (/.f64 (neg.f64 (neg.f64 x)) (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 y x) #s(literal 2 binary64))))) (/.f64 (neg.f64 (neg.f64 x)) (/.f64 (fma.f64 x x (*.f64 y y)) (-.f64 y x))))
(*.f64 (/.f64 (neg.f64 (neg.f64 x)) (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (fma.f64 (neg.f64 x) x (*.f64 y y)))) (/.f64 (neg.f64 (neg.f64 x)) (-.f64 x y)))
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(*.f64 (/.f64 (*.f64 x x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y y (*.f64 x (+.f64 y x))))
(*.f64 (*.f64 (/.f64 x (+.f64 y x)) (/.f64 x (-.f64 y x))) (+.f64 y x))
(*.f64 (/.f64 x (-.f64 y x)) x)
(*.f64 (neg.f64 x) (/.f64 (neg.f64 x) (-.f64 y x)))
(*.f64 x (/.f64 x (-.f64 y x)))
(/.f64 (*.f64 (neg.f64 x) x) (neg.f64 (-.f64 y x)))
(/.f64 (*.f64 x x) (-.f64 y x))
(neg.f64 (*.f64 (/.f64 x (-.f64 y x)) (neg.f64 x)))

eval42.0ms (0.8%)

Memory
-18.3MiB live, 120.2MiB allocated
Compiler

Compiled 13 202 to 1 346 computations (89.8% saved)

prune13.0ms (0.2%)

Memory
-9.6MiB live, 42.7MiB allocated
Pruning

11 alts after pruning (1 fresh and 10 done)

PrunedKeptTotal
New3421343
Fresh000
Picked112
Done099
Total34311354
Accuracy
100.0%
Counts
354 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
46.1%
(*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z)))
35.2%
#s(approx (* (+ x y) (- 1 z)) (-.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y))))
53.7%
#s(approx (* (+ x y) (- 1 z)) (+.f64 y x))
53.4%
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y))
48.7%
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
27.1%
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y))
27.6%
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))
43.8%
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) y) (*.f64 (-.f64 (/.f64 y z) y) z)))
27.3%
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) y) (*.f64 (neg.f64 z) y)))
22.6%
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) x) (*.f64 (neg.f64 x) z)))
Compiler

Compiled 402 to 184 computations (54.2% saved)

regimes35.0ms (0.7%)

Memory
36.3MiB live, 78.8MiB allocated
Counts
15 → 1
Calls
Call 1
Inputs
#s(approx (* (+ x y) (- 1 z)) (+.f64 y x))
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y))
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) x) (*.f64 (neg.f64 x) z)))
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) y) (*.f64 (neg.f64 z) y)))
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y))
(*.f64 (+.f64 x y) #s(approx (- 1 z) #s(literal 1 binary64)))
(*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z)))
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) y) (*.f64 (-.f64 (/.f64 y z) y) z)))
#s(approx (* (+ x y) (- 1 z)) (-.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y))))
(*.f64 (-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x))) #s(approx (- 1 z) #s(literal 1 binary64)))
(*.f64 (-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x))) (-.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 y x)) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 z z z) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 z z z)))
Outputs
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
Calls

6 calls:

12.0ms
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
4.0ms
x
4.0ms
y
4.0ms
(+.f64 x y)
4.0ms
z
Results
AccuracySegmentsBranch
100.0%1(-.f64 #s(literal 1 binary64) z)
100.0%1(+.f64 x y)
100.0%1(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
100.0%1x
100.0%1y
100.0%1z
Compiler

Compiled 16 to 25 computations (-56.3% saved)

regimes23.0ms (0.4%)

Memory
-9.4MiB live, 36.6MiB allocated
Counts
9 → 2
Calls
Call 1
Inputs
#s(approx (* (+ x y) (- 1 z)) (+.f64 y x))
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y))
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) x) (*.f64 (neg.f64 x) z)))
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) y) (*.f64 (neg.f64 z) y)))
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y))
(*.f64 (+.f64 x y) #s(approx (- 1 z) #s(literal 1 binary64)))
(*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z)))
Outputs
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y))
Calls

6 calls:

8.0ms
x
3.0ms
z
3.0ms
(+.f64 x y)
3.0ms
y
3.0ms
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
Results
AccuracySegmentsBranch
96.2%3(-.f64 #s(literal 1 binary64) z)
97.6%2(+.f64 x y)
83.6%4(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
82.5%2x
84.6%2y
96.2%3z
Compiler

Compiled 16 to 25 computations (-56.3% saved)

regimes14.0ms (0.3%)

Memory
23.1MiB live, 23.1MiB allocated
Counts
6 → 5
Calls
Call 1
Inputs
#s(approx (* (+ x y) (- 1 z)) (+.f64 y x))
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y))
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) x) (*.f64 (neg.f64 x) z)))
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) y) (*.f64 (neg.f64 z) y)))
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
Outputs
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) y) (*.f64 (neg.f64 z) y)))
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
#s(approx (* (+ x y) (- 1 z)) (+.f64 y x))
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) y) (*.f64 (neg.f64 z) y)))
Calls

6 calls:

3.0ms
(+.f64 x y)
2.0ms
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
2.0ms
y
2.0ms
z
2.0ms
x
Results
AccuracySegmentsBranch
70.4%4(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
70.9%4x
68.3%2y
82.3%5(-.f64 #s(literal 1 binary64) z)
82.3%5z
76.8%3(+.f64 x y)
Compiler

Compiled 16 to 25 computations (-56.3% saved)

regimes8.0ms (0.1%)

Memory
-39.4MiB live, 7.9MiB allocated
Counts
5 → 4
Calls
Call 1
Inputs
#s(approx (* (+ x y) (- 1 z)) (+.f64 y x))
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y))
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) x) (*.f64 (neg.f64 x) z)))
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) y) (*.f64 (neg.f64 z) y)))
Outputs
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) y) (*.f64 (neg.f64 z) y)))
#s(approx (* (+ x y) (- 1 z)) (+.f64 y x))
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) x) (*.f64 (neg.f64 x) z)))
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) y) (*.f64 (neg.f64 z) y)))
Calls

2 calls:

5.0ms
(-.f64 #s(literal 1 binary64) z)
2.0ms
z
Results
AccuracySegmentsBranch
79.5%4(-.f64 #s(literal 1 binary64) z)
79.5%4z
Compiler

Compiled 4 to 8 computations (-100% saved)

regimes10.0ms (0.2%)

Memory
13.1MiB live, 13.1MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
#s(approx (* (+ x y) (- 1 z)) (+.f64 y x))
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y))
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) x) (*.f64 (neg.f64 x) z)))
Outputs
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) x) (*.f64 (neg.f64 x) z)))
#s(approx (* (+ x y) (- 1 z)) (+.f64 y x))
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) x) (*.f64 (neg.f64 x) z)))
Calls

3 calls:

3.0ms
z
3.0ms
(+.f64 x y)
3.0ms
(-.f64 #s(literal 1 binary64) z)
Results
AccuracySegmentsBranch
53.7%1(+.f64 x y)
73.0%3(-.f64 #s(literal 1 binary64) z)
73.0%3z
Compiler

Compiled 7 to 12 computations (-71.4% saved)

regimes12.0ms (0.2%)

Memory
17.5MiB live, 17.5MiB allocated
Accuracy

Total -32.9b remaining (-111.3%)

Threshold costs -32.9b (-111.3%)

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

5 calls:

3.0ms
z
3.0ms
y
3.0ms
(-.f64 #s(literal 1 binary64) z)
2.0ms
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
2.0ms
x
Results
AccuracySegmentsBranch
53.7%1(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
53.7%1x
53.7%1y
53.7%1(-.f64 #s(literal 1 binary64) z)
53.7%1z
Compiler

Compiled 13 to 21 computations (-61.5% saved)

bsearch1.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-9.598293467047646e-256
8.299007615997507e-280
Compiler

Compiled 10 to 13 computations (-30% saved)

bsearch62.0ms (1.2%)

Memory
8.1MiB live, 58.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
10.0ms
8.207725796076137e+166
5.956523286853325e+168
12.0ms
4.385906788424644e-5
2702.486219597802
24.0ms
-0.003207196571111244
-6.257312087873768e-8
11.0ms
-1.234704302241262e+264
-1.5410180064969168e+261
Samples
24.0ms512×0valid
Compiler

Compiled 883 to 762 computations (13.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-sub: 3.0ms (28.7% of total)
ival-add: 3.0ms (28.7% of total)
ival-mult: 3.0ms (28.7% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch33.0ms (0.6%)

Memory
-27.4MiB live, 19.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
8.207725796076137e+166
5.956523286853325e+168
11.0ms
4.385906788424644e-5
2702.486219597802
18.0ms
-12278.844238835785
-585.3428407577654
Samples
20.0ms240×0valid
Compiler

Compiled 726 to 563 computations (22.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-add: 10.0ms (75.5% of total)
ival-mult: 2.0ms (15.1% of total)
ival-sub: 1.0ms (7.6% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch14.0ms (0.3%)

Memory
10.4MiB live, 10.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
4.385906788424644e-5
2702.486219597802
11.0ms
-585.3428407577654
-0.10229751320207382
Samples
6.0ms128×0valid
Compiler

Compiled 503 to 404 computations (19.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-sub: 1.0ms (37.4% of total)
ival-add: 1.0ms (37.4% of total)
ival-mult: 1.0ms (37.4% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify20.0ms (0.4%)

Memory
16.8MiB live, 16.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051254
172254
285254
399254
4121254
5150254
6170254
7202254
8220254
9240254
10250254
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(if (<=.f64 (+.f64 x y) #s(literal -2113178124542661/4226356249085321970818718279332132852150778608288972177023685672213391220453798875795338047101257503157395159946057029431058780476021484298004311827703516615267093471992040673349852141411411528424193863265689507233184226342012493910707175190136291811916308647181903986688 binary64)) #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)))
(if (<=.f64 z #s(literal -1199999999999999963472047938240091571334969884125227245970172494906844120795098011407305384502395500924570307951093460020928069252740321817132529814146538842075430404396932740155505075127261228445223413698717553897649613287694761160805789991144938854612364565676032 binary64)) #s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) y) (*.f64 (neg.f64 z) y))) (if (<=.f64 z #s(literal -4150517416584649/18446744073709551616 binary64)) #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) (if (<=.f64 z #s(literal 4796153459164483/36893488147419103232 binary64)) #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) (if (<=.f64 z #s(literal 270000000000000005187003484969441896733282024102487541630317066166255292571264216255718883489787272114368379716283867140637889077652999359074939879492173822156318179328 binary64)) #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) #s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) y) (*.f64 (neg.f64 z) y)))))))
(if (<=.f64 z #s(literal -600 binary64)) #s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) y) (*.f64 (neg.f64 z) y))) (if (<=.f64 z #s(literal 1 binary64)) #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) (if (<=.f64 z #s(literal 270000000000000005187003484969441896733282024102487541630317066166255292571264216255718883489787272114368379716283867140637889077652999359074939879492173822156318179328 binary64)) #s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) x) (*.f64 (neg.f64 x) z))) #s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) y) (*.f64 (neg.f64 z) y))))))
(if (<=.f64 z #s(literal -15/2 binary64)) #s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) x) (*.f64 (neg.f64 x) z))) (if (<=.f64 z #s(literal 1 binary64)) #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) #s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) x) (*.f64 (neg.f64 x) z)))))
#s(approx (* (+ x y) (- 1 z)) (+.f64 y x))
Outputs
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(if (<=.f64 (+.f64 x y) #s(literal -2113178124542661/4226356249085321970818718279332132852150778608288972177023685672213391220453798875795338047101257503157395159946057029431058780476021484298004311827703516615267093471992040673349852141411411528424193863265689507233184226342012493910707175190136291811916308647181903986688 binary64)) #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)))
(if (<=.f64 z #s(literal -1199999999999999963472047938240091571334969884125227245970172494906844120795098011407305384502395500924570307951093460020928069252740321817132529814146538842075430404396932740155505075127261228445223413698717553897649613287694761160805789991144938854612364565676032 binary64)) #s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) y) (*.f64 (neg.f64 z) y))) (if (<=.f64 z #s(literal -4150517416584649/18446744073709551616 binary64)) #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) (if (<=.f64 z #s(literal 4796153459164483/36893488147419103232 binary64)) #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) (if (<=.f64 z #s(literal 270000000000000005187003484969441896733282024102487541630317066166255292571264216255718883489787272114368379716283867140637889077652999359074939879492173822156318179328 binary64)) #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) #s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) y) (*.f64 (neg.f64 z) y)))))))
(if (<=.f64 z #s(literal -600 binary64)) #s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) y) (*.f64 (neg.f64 z) y))) (if (<=.f64 z #s(literal 1 binary64)) #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) (if (<=.f64 z #s(literal 270000000000000005187003484969441896733282024102487541630317066166255292571264216255718883489787272114368379716283867140637889077652999359074939879492173822156318179328 binary64)) #s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) x) (*.f64 (neg.f64 x) z))) #s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) y) (*.f64 (neg.f64 z) y))))))
(if (<=.f64 z #s(literal -15/2 binary64)) #s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) x) (*.f64 (neg.f64 x) z))) (if (<=.f64 z #s(literal 1 binary64)) #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) #s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) x) (*.f64 (neg.f64 x) z)))))
(if (or (<=.f64 z #s(literal -15/2 binary64)) (not (<=.f64 z #s(literal 1 binary64)))) #s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) x) (*.f64 (neg.f64 x) z))) #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)))
#s(approx (* (+ x y) (- 1 z)) (+.f64 y x))

derivations519.0ms (9.8%)

Memory
6.3MiB live, 193.3MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
065123
1220122
2773122
32468122
46395122
08148122
079182
1275181
2813181
32580173
46658173
08119173
03391045
11077981
23605944
08383915
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 254 to 53 computations (79.1% saved)

preprocess57.0ms (1.1%)

Memory
-34.7MiB live, 57.1MiB allocated
Remove

(sort x y)

Compiler

Compiled 550 to 148 computations (73.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...