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

Time bar (total: 5.9s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
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)

sample1.1s (18.3%)

Memory
62.7MiB live, 1 034.9MiB allocated; 314ms collecting garbage
Samples
543.0ms8 253×0valid
0.0ms1valid
0.0ms2valid
Precisions
Click to see histograms. Total time spent on operations: 265.0ms
ival-mult: 104.0ms (39.3% of total)
ival-sub: 76.0ms (28.7% of total)
ival-add: 66.0ms (24.9% of total)
ival-true: 6.0ms (2.3% of total)
exact: 6.0ms (2.3% of total)
ival-assert: 4.0ms (1.5% of total)
adjust: 3.0ms (1.1% of total)
Bogosity

explain173.0ms (2.9%)

Memory
-54.4MiB live, 133.8MiB allocated; 148ms collecting garbage
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
25.0ms512×0valid
Compiler

Compiled 45 to 25 computations (44.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-sub: 4.0ms (36.5% of total)
ival-add: 3.0ms (27.4% of total)
ival-mult: 3.0ms (27.4% 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)

preprocess31.0ms (0.5%)

Memory
-19.9MiB live, 25.6MiB allocated; 6ms collecting garbage
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
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated; 0ms collecting garbage
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
8.4MiB live, 8.4MiB allocated; 0ms collecting garbage
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
25.2MiB live, 25.2MiB allocated; 0ms collecting garbage
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 #s(literal 1 binary64) z)
accuracy0.0
(+.f64 x y)
accuracy0.015625
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
Samples
12.0ms256×0valid
Compiler

Compiled 19 to 9 computations (52.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 2.0ms (43.1% of total)
ival-sub: 1.0ms (21.6% of total)
ival-add: 1.0ms (21.6% 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)

series4.0ms (0.1%)

Memory
7.0MiB live, 7.0MiB allocated; 0ms collecting garbage
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))

simplify202.0ms (3.4%)

Memory
12.6MiB live, 240.8MiB allocated; 48ms collecting garbage
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))

rewrite186.0ms (3.1%)

Memory
-1.8MiB live, 229.1MiB allocated; 39ms collecting garbage
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))))))
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(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) z)) (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64)))
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(/.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)))
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(/.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))))
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(fma.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (neg.f64 z)) #s(literal 1 binary64))
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(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))))
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(-.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)

eval48.0ms (0.8%)

Memory
12.2MiB live, 100.5MiB allocated; 9ms collecting garbage
Compiler

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

prune76.0ms (1.3%)

Memory
-9.6MiB live, 54.3MiB allocated; 28ms collecting garbage
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New4208428
Fresh000
Picked101
Done000
Total4218429
Accuracy
100.0%
Counts
429 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (-.f64 #s(literal 1 binary64) z) x))
56.4%
(/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y) (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 z z)) x))) (*.f64 (-.f64 #s(literal 1 binary64) z) (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64))))
89.6%
(*.f64 (+.f64 x y) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 z z)) (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64))))
49.2%
(*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z)))
52.0%
(*.f64 (+.f64 x y) #s(approx (- 1 z) #s(literal 1 binary64)))
91.5%
(*.f64 #s(approx (+ x y) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) z))
55.9%
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y))
48.0%
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
Compiler

Compiled 236 to 172 computations (27.1% saved)

simplify124.0ms (2.1%)

Memory
-18.0MiB live, 172.0MiB allocated; 18ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff1
(fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64))
cost-diff3
(*.f64 (-.f64 #s(literal 1 binary64) z) (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64)))
cost-diff5
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y) (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 z z)) x)))
cost-diff5
(/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y) (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 z z)) x))) (*.f64 (-.f64 #s(literal 1 binary64) z) (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64))))
cost-diff0
(neg.f64 x)
cost-diff0
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)))
cost-diff0
#s(approx (+ x y) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64))))
cost-diff0
(*.f64 #s(approx (+ x y) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) 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) x)
cost-diff0
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
cost-diff0
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
cost-diff0
(-.f64 #s(literal 1 binary64) z)
cost-diff3
(fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (-.f64 #s(literal 1 binary64) z) x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032239
057233
1116233
2385224
31985211
08663205
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (-.f64 #s(literal 1 binary64) z) x))
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
y
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
x
#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
(*.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 #s(approx (+ x y) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) z))
#s(approx (+ x y) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)))
(neg.f64 x)
x
(-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64))
(/.f64 (neg.f64 y) x)
(neg.f64 y)
y
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) z)
z
(/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y) (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 z z)) x))) (*.f64 (-.f64 #s(literal 1 binary64) z) (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64))))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y) (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 z z)) x)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y)
(-.f64 #s(literal 1 binary64) (*.f64 z z))
#s(literal 1 binary64)
(*.f64 z z)
z
y
(fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64))
#s(literal -1 binary64)
(*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 z z)) x))
(-.f64 #s(literal 1 binary64) z)
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 z z)) x)
(+.f64 #s(literal -1 binary64) (*.f64 z z))
x
(*.f64 (-.f64 #s(literal 1 binary64) z) (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64)))
Outputs
(fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (-.f64 #s(literal 1 binary64) z) x))
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
y
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(*.f64 x (-.f64 #s(literal 1 binary64) z))
x
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
#s(approx (* (+ x y) (- 1 z)) (*.f64 x (-.f64 #s(literal 1 binary64) z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
x
(*.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 #s(approx (+ x y) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) z))
(*.f64 #s(approx (+ x y) (*.f64 (-.f64 (/.f64 y (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 x))) (-.f64 #s(literal 1 binary64) z))
#s(approx (+ x y) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64))))
#s(approx (+ x y) (*.f64 (-.f64 (/.f64 y (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 x)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)))
(*.f64 (-.f64 (/.f64 y (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 x))
(neg.f64 x)
x
(-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64))
(-.f64 (/.f64 y (neg.f64 x)) #s(literal 1 binary64))
(/.f64 (neg.f64 y) x)
(/.f64 y (neg.f64 x))
(neg.f64 y)
y
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) z)
z
(/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y) (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 z z)) x))) (*.f64 (-.f64 #s(literal 1 binary64) z) (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64))))
(*.f64 (fma.f64 z z #s(literal -1 binary64)) (-.f64 (/.f64 x (-.f64 #s(literal -1 binary64) z)) (/.f64 y (-.f64 #s(literal 1 binary64) z))))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y) (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 z z)) x)))
(*.f64 (fma.f64 z z #s(literal -1 binary64)) (-.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 (-.f64 #s(literal -1 binary64) z) y)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y)
(-.f64 #s(literal 1 binary64) (*.f64 z z))
#s(literal 1 binary64)
(*.f64 z z)
z
y
(fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64))
(-.f64 #s(literal -1 binary64) z)
#s(literal -1 binary64)
(*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 z z)) x))
(*.f64 (*.f64 (fma.f64 z z #s(literal -1 binary64)) x) (-.f64 #s(literal 1 binary64) z))
(-.f64 #s(literal 1 binary64) z)
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 z z)) x)
(*.f64 (fma.f64 z z #s(literal -1 binary64)) x)
(+.f64 #s(literal -1 binary64) (*.f64 z z))
(fma.f64 z z #s(literal -1 binary64))
x
(*.f64 (-.f64 #s(literal 1 binary64) z) (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64)))
(fma.f64 z z #s(literal -1 binary64))

localize92.0ms (1.6%)

Memory
16.6MiB live, 156.8MiB allocated; 7ms collecting garbage
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy2.876365798376501
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 z z)) x)
accuracy3.8121619547898495
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y)
accuracy7.761687787453088
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y) (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 z z)) x)))
accuracy20.28995203211713
(/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y) (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 z z)) x))) (*.f64 (-.f64 #s(literal 1 binary64) z) (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64))))
accuracy0.0
(neg.f64 x)
accuracy0.0
#s(approx (+ x y) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64))))
accuracy0.015625
(*.f64 #s(approx (+ x y) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) z))
accuracy7.582359443901007
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)))
accuracy0.0
(+.f64 x y)
accuracy0.015625
(*.f64 (+.f64 x y) #s(approx (- 1 z) #s(literal 1 binary64)))
accuracy30.756829534324023
#s(approx (- 1 z) #s(literal 1 binary64))
accuracy0.0
(-.f64 #s(literal 1 binary64) z)
accuracy0.01171875
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
accuracy33.27100390837372
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
accuracy0.0
(-.f64 #s(literal 1 binary64) z)
accuracy0.01171875
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
accuracy0.5039007452111204
(fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (-.f64 #s(literal 1 binary64) z) x))
Samples
73.0ms256×0valid
Compiler

Compiled 219 to 30 computations (86.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 54.0ms
ival-sub: 25.0ms (46.5% of total)
ival-mult: 18.0ms (33.5% of total)
ival-add: 5.0ms (9.3% of total)
ival-div: 3.0ms (5.6% of total)
ival-neg: 2.0ms (3.7% 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)

series67.0ms (1.1%)

Memory
-28.0MiB live, 57.6MiB allocated; 19ms collecting garbage
Counts
17 → 84
Calls
Call 1
Inputs
(fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (-.f64 #s(literal 1 binary64) z) x))
(-.f64 #s(literal 1 binary64) z)
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
(*.f64 (+.f64 x y) #s(approx (- 1 z) #s(literal 1 binary64)))
(+.f64 x y)
#s(approx (- 1 z) #s(literal 1 binary64))
(*.f64 #s(approx (+ x y) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) z))
#s(approx (+ x y) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)))
(neg.f64 x)
(/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y) (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 z z)) x))) (*.f64 (-.f64 #s(literal 1 binary64) z) (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64))))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y) (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 z z)) x)))
(*.f64 (-.f64 #s(literal 1 binary64) z) (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64)))
(fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y)
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 z z)) x)
Outputs
(* y (- 1 z))
(+ (* x (- 1 z)) (* y (- 1 z)))
(* x (- 1 z))
y
(+ x y)
(* -1 x)
(/ (* y (- 1 (pow z 2))) (- 1 z))
(+ (* x (- (/ (pow z 2) (- (* -1 z) 1)) (/ 1 (- (* -1 z) 1)))) (/ (* y (- 1 (pow z 2))) (- 1 z)))
(* y (* (- 1 (pow z 2)) (- (* -1 z) 1)))
(+ (* x (* (- 1 z) (- (pow z 2) 1))) (* y (* (- 1 (pow z 2)) (- (* -1 z) 1))))
(* x (- (pow z 2) 1))
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z))
x
(* x (+ 1 (/ y x)))
(/ (* x (- (pow z 2) 1)) (- (* -1 z) 1))
(* x (- (+ (/ (* y (- 1 (pow z 2))) (* x (- 1 z))) (/ (pow z 2) (- (* -1 z) 1))) (/ 1 (- (* -1 z) 1))))
(* x (* (- 1 z) (- (pow z 2) 1)))
(* x (+ (* (- 1 z) (- (pow z 2) 1)) (/ (* y (* (- 1 (pow z 2)) (- (* -1 z) 1))) x)))
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x)))))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (+ (* -1 (/ (* y (- 1 (pow z 2))) (* x (- 1 z)))) (* -1 (/ (- (pow z 2) 1) (- (* -1 z) 1))))))
(* -1 (* x (+ (* -1 (* (- 1 z) (- (pow z 2) 1))) (* -1 (/ (* y (* (- 1 (pow z 2)) (- (* -1 z) 1))) x)))))
(+ (* y (- (/ 1 (- 1 z)) (/ (pow z 2) (- 1 z)))) (/ (* x (- (pow z 2) 1)) (- (* -1 z) 1)))
(* y (- 1 (pow z 2)))
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z))
(* y (+ 1 (/ x y)))
(* y (- (+ (/ 1 (- 1 z)) (/ (* x (- (pow z 2) 1)) (* y (- (* -1 z) 1)))) (/ (pow z 2) (- 1 z))))
(* y (+ (* (- 1 (pow z 2)) (- (* -1 z) 1)) (/ (* x (* (- 1 z) (- (pow z 2) 1))) y)))
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y)))))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (+ (* -1 (/ (* x (- (pow z 2) 1)) (* y (- (* -1 z) 1)))) (* -1 (/ (- 1 (pow z 2)) (- 1 z))))))
(* -1 (* y (+ (* -1 (* (- 1 (pow z 2)) (- (* -1 z) 1))) (* -1 (/ (* x (* (- 1 z) (- (pow z 2) 1))) y)))))
(+ x (+ y (* z (+ (* -1 x) (* -1 y)))))
1
(+ 1 (* -1 z))
(+ x (* -1 (* x z)))
(+ x (+ y (* -1 (* z (+ x y)))))
(* -1 (+ (* -1 x) (* -1 y)))
(+ (* -1 (* z (+ x (* -1 y)))) (* -1 (+ (* -1 x) (* -1 y))))
(+ (* -1 (+ (* -1 x) (* -1 y))) (* z (+ (* -1 (+ x (* -1 y))) (* z (- (* -1 (+ x y)) (+ (* -1 x) (* -1 y)))))))
(+ (* -1 (+ (* -1 x) (* -1 y))) (* z (+ (* -1 (+ x (* -1 y))) (* z (- (+ (* -1 (+ x y)) (* z (- (* -1 (+ y (* -1 x))) (+ x (* -1 y))))) (+ (* -1 x) (* -1 y)))))))
(+ (* -1 x) (* -1 y))
(+ (* -1 x) (+ (* -1 y) (* z (+ x (* -1 y)))))
(+ (* -1 x) (+ (* -1 y) (* z (+ x (+ (* -1 y) (* z (+ x y)))))))
(+ (* -1 x) (+ (* -1 y) (* z (+ x (+ (* -1 y) (* z (+ x (+ y (* z (+ y (* -1 x)))))))))))
-1
(- (pow z 2) 1)
(- (* -1 z) 1)
(+ y (* -1 (* y (pow z 2))))
(+ (* -1 x) (* x (pow z 2)))
(* z (+ (* -1 x) (* -1 y)))
(* z (+ (* -1 x) (+ (* -1 y) (+ (/ x z) (/ y z)))))
(* -1 z)
(* z (- (/ 1 z) 1))
(* -1 (* x z))
(* z (+ (* -1 x) (/ x z)))
(* -1 (* z (+ x y)))
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(* z (+ y (* -1 x)))
(* z (+ y (+ (* -1 x) (+ (/ x z) (/ y z)))))
(* z (+ y (+ (* -1 x) (+ (* -1 (/ (- (* -1 (+ x (* -1 y))) (+ y (* -1 x))) (pow z 2))) (+ (/ x z) (/ y z))))))
(* z (+ y (+ (* -1 x) (+ (* -1 (/ (- (* -1 (+ x (* -1 y))) (+ y (* -1 x))) (pow z 2))) (+ (* -1 (/ (- (* -1 (+ (* -1 x) (* -1 y))) (+ x y)) (pow z 3))) (+ (/ x z) (/ y z)))))))
(* (pow z 3) (+ y (* -1 x)))
(* (pow z 3) (+ y (+ (* -1 x) (+ (/ x z) (/ y z)))))
(* (pow z 3) (+ y (+ (* -1 x) (+ (* -1 (/ y (pow z 2))) (+ (/ x z) (+ (/ x (pow z 2)) (/ y z)))))))
(* (pow z 3) (+ y (+ (* -1 x) (+ (* -1 (/ x (pow z 3))) (+ (* -1 (/ y (pow z 2))) (+ (* -1 (/ y (pow z 3))) (+ (/ x z) (+ (/ x (pow z 2)) (/ y z)))))))))
(pow z 2)
(* (pow z 2) (- 1 (/ 1 (pow z 2))))
(* -1 (* z (+ 1 (/ 1 z))))
(* -1 (* y (pow z 2)))
(* (pow z 2) (+ (* -1 y) (/ y (pow z 2))))
(* x (pow z 2))
(* (pow z 2) (+ x (* -1 (/ x (pow z 2)))))
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))
(* -1 (* z (- 1 (/ 1 z))))
(* -1 (* z (+ x (* -1 (/ x z)))))
(* -1 (* z (+ x (* -1 y))))
(* -1 (* z (+ x (+ (* -1 y) (* -1 (/ (+ x y) z))))))
(* -1 (* z (+ x (+ (* -1 y) (* -1 (/ (+ x (+ y (* -1 (/ (- (+ y (* -1 x)) (* -1 (+ x (* -1 y)))) z)))) z))))))
(* -1 (* z (+ x (+ (* -1 y) (* -1 (/ (+ x (+ y (* -1 (/ (- (+ y (+ (* -1 x) (* -1 (/ (- (+ (* -1 x) (* -1 y)) (* -1 (+ x y))) z)))) (* -1 (+ x (* -1 y)))) z)))) z))))))
(* -1 (* (pow z 3) (+ x (* -1 y))))
(* -1 (* (pow z 3) (+ x (+ (* -1 y) (* -1 (/ (+ x y) z))))))
(* -1 (* (pow z 3) (+ x (+ (* -1 y) (* -1 (/ (+ x (+ y (* -1 (/ (+ y (* -1 x)) z)))) z))))))
(* -1 (* (pow z 3) (+ x (+ (* -1 y) (* -1 (/ (+ x (+ y (* -1 (/ (+ y (+ (* -1 x) (* -1 (/ (+ (* -1 x) (* -1 y)) z)))) z)))) z))))))
Calls

9 calls:

TimeVariablePointExpression
22.0ms
x
@inf
((+ (* (- 1 z) y) (* (- 1 z) x)) (- 1 z) (* (- 1 z) x) (* (+ x y) (- 1 z)) (* (+ x y) (- 1 z)) (+ x y) (- 1 z) (* (+ x y) (- 1 z)) (+ x y) (* (neg x) (- (/ (neg y) x) 1)) (neg x) (/ (+ (* (* (- 1 (* z z)) y) (+ (* -1 z) -1)) (* (- 1 z) (* (+ -1 (* z z)) x))) (* (- 1 z) (+ (* -1 z) -1))) (+ (* (* (- 1 (* z z)) y) (+ (* -1 z) -1)) (* (- 1 z) (* (+ -1 (* z z)) x))) (* (- 1 z) (+ (* -1 z) -1)) (+ (* -1 z) -1) (* (- 1 (* z z)) y) (* (+ -1 (* z z)) x))
5.0ms
z
@0
((+ (* (- 1 z) y) (* (- 1 z) x)) (- 1 z) (* (- 1 z) x) (* (+ x y) (- 1 z)) (* (+ x y) (- 1 z)) (+ x y) (- 1 z) (* (+ x y) (- 1 z)) (+ x y) (* (neg x) (- (/ (neg y) x) 1)) (neg x) (/ (+ (* (* (- 1 (* z z)) y) (+ (* -1 z) -1)) (* (- 1 z) (* (+ -1 (* z z)) x))) (* (- 1 z) (+ (* -1 z) -1))) (+ (* (* (- 1 (* z z)) y) (+ (* -1 z) -1)) (* (- 1 z) (* (+ -1 (* z z)) x))) (* (- 1 z) (+ (* -1 z) -1)) (+ (* -1 z) -1) (* (- 1 (* z z)) y) (* (+ -1 (* z z)) x))
4.0ms
x
@0
((+ (* (- 1 z) y) (* (- 1 z) x)) (- 1 z) (* (- 1 z) x) (* (+ x y) (- 1 z)) (* (+ x y) (- 1 z)) (+ x y) (- 1 z) (* (+ x y) (- 1 z)) (+ x y) (* (neg x) (- (/ (neg y) x) 1)) (neg x) (/ (+ (* (* (- 1 (* z z)) y) (+ (* -1 z) -1)) (* (- 1 z) (* (+ -1 (* z z)) x))) (* (- 1 z) (+ (* -1 z) -1))) (+ (* (* (- 1 (* z z)) y) (+ (* -1 z) -1)) (* (- 1 z) (* (+ -1 (* z z)) x))) (* (- 1 z) (+ (* -1 z) -1)) (+ (* -1 z) -1) (* (- 1 (* z z)) y) (* (+ -1 (* z z)) x))
3.0ms
x
@-inf
((+ (* (- 1 z) y) (* (- 1 z) x)) (- 1 z) (* (- 1 z) x) (* (+ x y) (- 1 z)) (* (+ x y) (- 1 z)) (+ x y) (- 1 z) (* (+ x y) (- 1 z)) (+ x y) (* (neg x) (- (/ (neg y) x) 1)) (neg x) (/ (+ (* (* (- 1 (* z z)) y) (+ (* -1 z) -1)) (* (- 1 z) (* (+ -1 (* z z)) x))) (* (- 1 z) (+ (* -1 z) -1))) (+ (* (* (- 1 (* z z)) y) (+ (* -1 z) -1)) (* (- 1 z) (* (+ -1 (* z z)) x))) (* (- 1 z) (+ (* -1 z) -1)) (+ (* -1 z) -1) (* (- 1 (* z z)) y) (* (+ -1 (* z z)) x))
3.0ms
y
@-inf
((+ (* (- 1 z) y) (* (- 1 z) x)) (- 1 z) (* (- 1 z) x) (* (+ x y) (- 1 z)) (* (+ x y) (- 1 z)) (+ x y) (- 1 z) (* (+ x y) (- 1 z)) (+ x y) (* (neg x) (- (/ (neg y) x) 1)) (neg x) (/ (+ (* (* (- 1 (* z z)) y) (+ (* -1 z) -1)) (* (- 1 z) (* (+ -1 (* z z)) x))) (* (- 1 z) (+ (* -1 z) -1))) (+ (* (* (- 1 (* z z)) y) (+ (* -1 z) -1)) (* (- 1 z) (* (+ -1 (* z z)) x))) (* (- 1 z) (+ (* -1 z) -1)) (+ (* -1 z) -1) (* (- 1 (* z z)) y) (* (+ -1 (* z z)) x))

simplify197.0ms (3.3%)

Memory
54.0MiB live, 283.7MiB allocated; 67ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02971118
11146969
25131955
08216913
Stop Event
iter limit
node limit
Counts
84 → 82
Calls
Call 1
Inputs
(* y (- 1 z))
(+ (* x (- 1 z)) (* y (- 1 z)))
(* x (- 1 z))
y
(+ x y)
(* -1 x)
(/ (* y (- 1 (pow z 2))) (- 1 z))
(+ (* x (- (/ (pow z 2) (- (* -1 z) 1)) (/ 1 (- (* -1 z) 1)))) (/ (* y (- 1 (pow z 2))) (- 1 z)))
(* y (* (- 1 (pow z 2)) (- (* -1 z) 1)))
(+ (* x (* (- 1 z) (- (pow z 2) 1))) (* y (* (- 1 (pow z 2)) (- (* -1 z) 1))))
(* x (- (pow z 2) 1))
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z))
x
(* x (+ 1 (/ y x)))
(/ (* x (- (pow z 2) 1)) (- (* -1 z) 1))
(* x (- (+ (/ (* y (- 1 (pow z 2))) (* x (- 1 z))) (/ (pow z 2) (- (* -1 z) 1))) (/ 1 (- (* -1 z) 1))))
(* x (* (- 1 z) (- (pow z 2) 1)))
(* x (+ (* (- 1 z) (- (pow z 2) 1)) (/ (* y (* (- 1 (pow z 2)) (- (* -1 z) 1))) x)))
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x)))))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (+ (* -1 (/ (* y (- 1 (pow z 2))) (* x (- 1 z)))) (* -1 (/ (- (pow z 2) 1) (- (* -1 z) 1))))))
(* -1 (* x (+ (* -1 (* (- 1 z) (- (pow z 2) 1))) (* -1 (/ (* y (* (- 1 (pow z 2)) (- (* -1 z) 1))) x)))))
(+ (* y (- (/ 1 (- 1 z)) (/ (pow z 2) (- 1 z)))) (/ (* x (- (pow z 2) 1)) (- (* -1 z) 1)))
(* y (- 1 (pow z 2)))
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z))
(* y (+ 1 (/ x y)))
(* y (- (+ (/ 1 (- 1 z)) (/ (* x (- (pow z 2) 1)) (* y (- (* -1 z) 1)))) (/ (pow z 2) (- 1 z))))
(* y (+ (* (- 1 (pow z 2)) (- (* -1 z) 1)) (/ (* x (* (- 1 z) (- (pow z 2) 1))) y)))
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y)))))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (+ (* -1 (/ (* x (- (pow z 2) 1)) (* y (- (* -1 z) 1)))) (* -1 (/ (- 1 (pow z 2)) (- 1 z))))))
(* -1 (* y (+ (* -1 (* (- 1 (pow z 2)) (- (* -1 z) 1))) (* -1 (/ (* x (* (- 1 z) (- (pow z 2) 1))) y)))))
(+ x (+ y (* z (+ (* -1 x) (* -1 y)))))
1
(+ 1 (* -1 z))
(+ x (* -1 (* x z)))
(+ x (+ y (* -1 (* z (+ x y)))))
(* -1 (+ (* -1 x) (* -1 y)))
(+ (* -1 (* z (+ x (* -1 y)))) (* -1 (+ (* -1 x) (* -1 y))))
(+ (* -1 (+ (* -1 x) (* -1 y))) (* z (+ (* -1 (+ x (* -1 y))) (* z (- (* -1 (+ x y)) (+ (* -1 x) (* -1 y)))))))
(+ (* -1 (+ (* -1 x) (* -1 y))) (* z (+ (* -1 (+ x (* -1 y))) (* z (- (+ (* -1 (+ x y)) (* z (- (* -1 (+ y (* -1 x))) (+ x (* -1 y))))) (+ (* -1 x) (* -1 y)))))))
(+ (* -1 x) (* -1 y))
(+ (* -1 x) (+ (* -1 y) (* z (+ x (* -1 y)))))
(+ (* -1 x) (+ (* -1 y) (* z (+ x (+ (* -1 y) (* z (+ x y)))))))
(+ (* -1 x) (+ (* -1 y) (* z (+ x (+ (* -1 y) (* z (+ x (+ y (* z (+ y (* -1 x)))))))))))
-1
(- (pow z 2) 1)
(- (* -1 z) 1)
(+ y (* -1 (* y (pow z 2))))
(+ (* -1 x) (* x (pow z 2)))
(* z (+ (* -1 x) (* -1 y)))
(* z (+ (* -1 x) (+ (* -1 y) (+ (/ x z) (/ y z)))))
(* -1 z)
(* z (- (/ 1 z) 1))
(* -1 (* x z))
(* z (+ (* -1 x) (/ x z)))
(* -1 (* z (+ x y)))
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(* z (+ y (* -1 x)))
(* z (+ y (+ (* -1 x) (+ (/ x z) (/ y z)))))
(* z (+ y (+ (* -1 x) (+ (* -1 (/ (- (* -1 (+ x (* -1 y))) (+ y (* -1 x))) (pow z 2))) (+ (/ x z) (/ y z))))))
(* z (+ y (+ (* -1 x) (+ (* -1 (/ (- (* -1 (+ x (* -1 y))) (+ y (* -1 x))) (pow z 2))) (+ (* -1 (/ (- (* -1 (+ (* -1 x) (* -1 y))) (+ x y)) (pow z 3))) (+ (/ x z) (/ y z)))))))
(* (pow z 3) (+ y (* -1 x)))
(* (pow z 3) (+ y (+ (* -1 x) (+ (/ x z) (/ y z)))))
(* (pow z 3) (+ y (+ (* -1 x) (+ (* -1 (/ y (pow z 2))) (+ (/ x z) (+ (/ x (pow z 2)) (/ y z)))))))
(* (pow z 3) (+ y (+ (* -1 x) (+ (* -1 (/ x (pow z 3))) (+ (* -1 (/ y (pow z 2))) (+ (* -1 (/ y (pow z 3))) (+ (/ x z) (+ (/ x (pow z 2)) (/ y z)))))))))
(pow z 2)
(* (pow z 2) (- 1 (/ 1 (pow z 2))))
(* -1 (* z (+ 1 (/ 1 z))))
(* -1 (* y (pow z 2)))
(* (pow z 2) (+ (* -1 y) (/ y (pow z 2))))
(* x (pow z 2))
(* (pow z 2) (+ x (* -1 (/ x (pow z 2)))))
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))
(* -1 (* z (- 1 (/ 1 z))))
(* -1 (* z (+ x (* -1 (/ x z)))))
(* -1 (* z (+ x (* -1 y))))
(* -1 (* z (+ x (+ (* -1 y) (* -1 (/ (+ x y) z))))))
(* -1 (* z (+ x (+ (* -1 y) (* -1 (/ (+ x (+ y (* -1 (/ (- (+ y (* -1 x)) (* -1 (+ x (* -1 y)))) z)))) z))))))
(* -1 (* z (+ x (+ (* -1 y) (* -1 (/ (+ x (+ y (* -1 (/ (- (+ y (+ (* -1 x) (* -1 (/ (- (+ (* -1 x) (* -1 y)) (* -1 (+ x y))) z)))) (* -1 (+ x (* -1 y)))) z)))) z))))))
(* -1 (* (pow z 3) (+ x (* -1 y))))
(* -1 (* (pow z 3) (+ x (+ (* -1 y) (* -1 (/ (+ x y) z))))))
(* -1 (* (pow z 3) (+ x (+ (* -1 y) (* -1 (/ (+ x (+ y (* -1 (/ (+ y (* -1 x)) z)))) z))))))
(* -1 (* (pow z 3) (+ x (+ (* -1 y) (* -1 (/ (+ x (+ y (* -1 (/ (+ y (+ (* -1 x) (* -1 (/ (+ (* -1 x) (* -1 y)) z)))) z)))) 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 x y))
(* x (- 1 z))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
y
(+ x y)
(+.f64 x y)
(* -1 x)
(neg.f64 x)
(/ (* y (- 1 (pow z 2))) (- 1 z))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 y (-.f64 #s(literal 1 binary64) z)))
(+ (* x (- (/ (pow z 2) (- (* -1 z) 1)) (/ 1 (- (* -1 z) 1)))) (/ (* y (- 1 (pow z 2))) (- 1 z)))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 y (-.f64 #s(literal 1 binary64) z)) (/.f64 (*.f64 (fma.f64 z z #s(literal -1 binary64)) x) (-.f64 (neg.f64 z) #s(literal 1 binary64))))
(* y (* (- 1 (pow z 2)) (- (* -1 z) 1)))
(*.f64 (-.f64 (neg.f64 z) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y))
(+ (* x (* (- 1 z) (- (pow z 2) 1))) (* y (* (- 1 (pow z 2)) (- (* -1 z) 1))))
(fma.f64 (*.f64 (fma.f64 z z #s(literal -1 binary64)) x) (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 (neg.f64 z) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y)))
(* x (- (pow z 2) 1))
(*.f64 (fma.f64 z z #s(literal -1 binary64)) x)
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z))
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) x) y (-.f64 #s(literal 1 binary64) z)) x)
x
(* x (+ 1 (/ y x)))
(fma.f64 (/.f64 y x) x x)
(/ (* x (- (pow z 2) 1)) (- (* -1 z) 1))
(/.f64 (*.f64 (fma.f64 z z #s(literal -1 binary64)) x) (-.f64 (neg.f64 z) #s(literal 1 binary64)))
(* x (- (+ (/ (* y (- 1 (pow z 2))) (* x (- 1 z))) (/ (pow z 2) (- (* -1 z) 1))) (/ 1 (- (* -1 z) 1))))
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) x) (/.f64 y (-.f64 #s(literal 1 binary64) z)) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (-.f64 (neg.f64 z) #s(literal 1 binary64)))) x)
(* x (* (- 1 z) (- (pow z 2) 1)))
(*.f64 (*.f64 (fma.f64 z z #s(literal -1 binary64)) x) (-.f64 #s(literal 1 binary64) z))
(* x (+ (* (- 1 z) (- (pow z 2) 1)) (/ (* y (* (- 1 (pow z 2)) (- (* -1 z) 1))) x)))
(*.f64 (fma.f64 (fma.f64 z z #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 (-.f64 (neg.f64 z) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (/.f64 y x))) x)
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x)))))
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) x) y (-.f64 #s(literal 1 binary64) z)) x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(*.f64 (-.f64 (/.f64 y (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 x))
(* -1 (* x (+ (* -1 (/ (* y (- 1 (pow z 2))) (* x (- 1 z)))) (* -1 (/ (- (pow z 2) 1) (- (* -1 z) 1))))))
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) x) (/.f64 y (-.f64 #s(literal 1 binary64) z)) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (-.f64 (neg.f64 z) #s(literal 1 binary64)))) x)
(* -1 (* x (+ (* -1 (* (- 1 z) (- (pow z 2) 1))) (* -1 (/ (* y (* (- 1 (pow z 2)) (- (* -1 z) 1))) x)))))
(*.f64 (fma.f64 (fma.f64 z z #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 (-.f64 (neg.f64 z) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (/.f64 y x))) x)
(+ (* y (- (/ 1 (- 1 z)) (/ (pow z 2) (- 1 z)))) (/ (* x (- (pow z 2) 1)) (- (* -1 z) 1)))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 y (-.f64 #s(literal 1 binary64) z)) (/.f64 (*.f64 (fma.f64 z z #s(literal -1 binary64)) x) (-.f64 (neg.f64 z) #s(literal 1 binary64))))
(* y (- 1 (pow z 2)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y)
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z))
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x (-.f64 #s(literal 1 binary64) z)) y)
(* y (+ 1 (/ x y)))
(fma.f64 (/.f64 x y) y y)
(* y (- (+ (/ 1 (- 1 z)) (/ (* x (- (pow z 2) 1)) (* y (- (* -1 z) 1)))) (/ (pow z 2) (- 1 z))))
(*.f64 (fma.f64 (/.f64 x y) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (-.f64 (neg.f64 z) #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (-.f64 #s(literal 1 binary64) z))) y)
(* y (+ (* (- 1 (pow z 2)) (- (* -1 z) 1)) (/ (* x (* (- 1 z) (- (pow z 2) 1))) y)))
(*.f64 (fma.f64 (*.f64 (fma.f64 z z #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) z)) (/.f64 x y) (*.f64 (-.f64 (neg.f64 z) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 z z)))) y)
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y)))))
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x (-.f64 #s(literal 1 binary64) z)) y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)))
(* -1 (* y (+ (* -1 (/ (* x (- (pow z 2) 1)) (* y (- (* -1 z) 1)))) (* -1 (/ (- 1 (pow z 2)) (- 1 z))))))
(*.f64 (fma.f64 (/.f64 x y) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (-.f64 (neg.f64 z) #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (-.f64 #s(literal 1 binary64) z))) y)
(* -1 (* y (+ (* -1 (* (- 1 (pow z 2)) (- (* -1 z) 1))) (* -1 (/ (* x (* (- 1 z) (- (pow z 2) 1))) y)))))
(*.f64 (fma.f64 (*.f64 (fma.f64 z z #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) z)) (/.f64 x y) (*.f64 (-.f64 (neg.f64 z) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 z z)))) y)
(+ x (+ y (* z (+ (* -1 x) (* -1 y)))))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 x y))
1
#s(literal 1 binary64)
(+ 1 (* -1 z))
(-.f64 #s(literal 1 binary64) z)
(+ x (* -1 (* x z)))
(fma.f64 (neg.f64 z) x x)
(+ x (+ y (* -1 (* z (+ x y)))))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 x y))
(* -1 (+ (* -1 x) (* -1 y)))
(+.f64 x y)
(+ (* -1 (* z (+ x (* -1 y)))) (* -1 (+ (* -1 x) (* -1 y))))
(fma.f64 (-.f64 y x) z (+.f64 x y))
(+ (* -1 (+ (* -1 x) (* -1 y))) (* z (+ (* -1 (+ x (* -1 y))) (* z (- (* -1 (+ x y)) (+ (* -1 x) (* -1 y)))))))
(fma.f64 (fma.f64 #s(literal 0 binary64) z (-.f64 y x)) z (+.f64 x y))
(+ (* -1 (+ (* -1 x) (* -1 y))) (* z (+ (* -1 (+ x (* -1 y))) (* z (- (+ (* -1 (+ x y)) (* z (- (* -1 (+ y (* -1 x))) (+ x (* -1 y))))) (+ (* -1 x) (* -1 y)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 0 binary64) z #s(literal 0 binary64)) z (-.f64 y x)) z (+.f64 x y))
(+ (* -1 x) (* -1 y))
(-.f64 (neg.f64 y) x)
(+ (* -1 x) (+ (* -1 y) (* z (+ x (* -1 y)))))
(fma.f64 (-.f64 x y) z (-.f64 (neg.f64 y) x))
(+ (* -1 x) (+ (* -1 y) (* z (+ x (+ (* -1 y) (* z (+ x y)))))))
(fma.f64 (fma.f64 (+.f64 x y) z (-.f64 x y)) z (-.f64 (neg.f64 y) x))
(+ (* -1 x) (+ (* -1 y) (* z (+ x (+ (* -1 y) (* z (+ x (+ y (* z (+ y (* -1 x)))))))))))
(fma.f64 (fma.f64 (fma.f64 (-.f64 y x) z (+.f64 x y)) z (-.f64 x y)) z (-.f64 (neg.f64 y) x))
-1
#s(literal -1 binary64)
(- (pow z 2) 1)
(fma.f64 z z #s(literal -1 binary64))
(- (* -1 z) 1)
(-.f64 (neg.f64 z) #s(literal 1 binary64))
(+ y (* -1 (* y (pow z 2))))
(fma.f64 (neg.f64 y) (*.f64 z z) y)
(+ (* -1 x) (* x (pow z 2)))
(*.f64 (fma.f64 z z #s(literal -1 binary64)) x)
(* z (+ (* -1 x) (* -1 y)))
(*.f64 (-.f64 (neg.f64 y) x) z)
(* z (+ (* -1 x) (+ (* -1 y) (+ (/ x z) (/ y z)))))
(*.f64 (-.f64 (-.f64 (/.f64 (+.f64 x y) z) y) x) z)
(* -1 z)
(neg.f64 z)
(* z (- (/ 1 z) 1))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) z)
(* -1 (* x z))
(*.f64 (neg.f64 z) x)
(* z (+ (* -1 x) (/ x z)))
(*.f64 (-.f64 (/.f64 x z) x) 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) y) x) z)
(* z (+ y (* -1 x)))
(*.f64 (-.f64 y x) z)
(* z (+ y (+ (* -1 x) (+ (/ x z) (/ y z)))))
(*.f64 (+.f64 (-.f64 (/.f64 (+.f64 x y) z) x) y) z)
(* z (+ y (+ (* -1 x) (+ (* -1 (/ (- (* -1 (+ x (* -1 y))) (+ y (* -1 x))) (pow z 2))) (+ (/ x z) (/ y z))))))
(*.f64 (+.f64 (-.f64 (-.f64 (/.f64 (+.f64 x y) z) #s(literal 0 binary64)) x) y) z)
(* z (+ y (+ (* -1 x) (+ (* -1 (/ (- (* -1 (+ x (* -1 y))) (+ y (* -1 x))) (pow z 2))) (+ (* -1 (/ (- (* -1 (+ (* -1 x) (* -1 y))) (+ x y)) (pow z 3))) (+ (/ x z) (/ y z)))))))
(*.f64 (+.f64 (-.f64 (-.f64 (/.f64 (+.f64 x y) z) #s(literal 0 binary64)) x) y) z)
(* (pow z 3) (+ y (* -1 x)))
(*.f64 (pow.f64 z #s(literal 3 binary64)) (-.f64 y x))
(* (pow z 3) (+ y (+ (* -1 x) (+ (/ x z) (/ y z)))))
(*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (-.f64 (/.f64 (+.f64 x y) z) x) y))
(* (pow z 3) (+ y (+ (* -1 x) (+ (* -1 (/ y (pow z 2))) (+ (/ x z) (+ (/ x (pow z 2)) (/ y z)))))))
(*.f64 (+.f64 (-.f64 (-.f64 (/.f64 (+.f64 (/.f64 x z) (+.f64 x y)) z) (/.f64 (/.f64 y z) z)) x) y) (pow.f64 z #s(literal 3 binary64)))
(* (pow z 3) (+ y (+ (* -1 x) (+ (* -1 (/ x (pow z 3))) (+ (* -1 (/ y (pow z 2))) (+ (* -1 (/ y (pow z 3))) (+ (/ x z) (+ (/ x (pow z 2)) (/ y z)))))))))
(*.f64 (+.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 x z) y) (*.f64 z z)) (-.f64 (/.f64 (+.f64 (/.f64 x z) (+.f64 x y)) z) (/.f64 y (pow.f64 z #s(literal 3 binary64))))) x) y) (pow.f64 z #s(literal 3 binary64)))
(pow z 2)
(*.f64 z z)
(* (pow z 2) (- 1 (/ 1 (pow z 2))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) z)) z) z)
(* -1 (* z (+ 1 (/ 1 z))))
(fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64))
(* -1 (* y (pow z 2)))
(*.f64 (*.f64 (neg.f64 z) z) y)
(* (pow z 2) (+ (* -1 y) (/ y (pow z 2))))
(*.f64 (*.f64 (-.f64 (/.f64 (/.f64 y z) z) y) z) z)
(* x (pow z 2))
(*.f64 (*.f64 x z) z)
(* (pow z 2) (+ x (* -1 (/ x (pow z 2)))))
(*.f64 (*.f64 (-.f64 x (/.f64 (/.f64 x z) z)) z) z)
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))
(*.f64 (-.f64 (-.f64 (/.f64 (+.f64 x y) z) y) x) z)
(* -1 (* z (- 1 (/ 1 z))))
(*.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))
(* -1 (* z (+ x (* -1 (/ x z)))))
(*.f64 (-.f64 (/.f64 x z) x) z)
(* -1 (* z (+ x (* -1 y))))
(*.f64 (-.f64 y x) z)
(* -1 (* z (+ x (+ (* -1 y) (* -1 (/ (+ x y) z))))))
(*.f64 (+.f64 (-.f64 (/.f64 (+.f64 x y) z) x) y) z)
(* -1 (* z (+ x (+ (* -1 y) (* -1 (/ (+ x (+ y (* -1 (/ (- (+ y (* -1 x)) (* -1 (+ x (* -1 y)))) z)))) z))))))
(*.f64 (+.f64 (-.f64 (-.f64 (/.f64 (+.f64 x y) z) #s(literal 0 binary64)) x) y) z)
(* -1 (* z (+ x (+ (* -1 y) (* -1 (/ (+ x (+ y (* -1 (/ (- (+ y (+ (* -1 x) (* -1 (/ (- (+ (* -1 x) (* -1 y)) (* -1 (+ x y))) z)))) (* -1 (+ x (* -1 y)))) z)))) z))))))
(*.f64 (neg.f64 z) (-.f64 (-.f64 x y) (/.f64 (-.f64 (+.f64 x y) (/.f64 (-.f64 (+.f64 (-.f64 (-.f64 y x) #s(literal 0 binary64)) x) y) z)) z)))
(* -1 (* (pow z 3) (+ x (* -1 y))))
(*.f64 (pow.f64 z #s(literal 3 binary64)) (-.f64 y x))
(* -1 (* (pow z 3) (+ x (+ (* -1 y) (* -1 (/ (+ x y) z))))))
(*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (-.f64 (/.f64 (+.f64 x y) z) x) y))
(* -1 (* (pow z 3) (+ x (+ (* -1 y) (* -1 (/ (+ x (+ y (* -1 (/ (+ y (* -1 x)) z)))) z))))))
(*.f64 (fma.f64 #s(literal -1 binary64) x (+.f64 (/.f64 (+.f64 (-.f64 y (/.f64 (-.f64 y x) z)) x) z) y)) (pow.f64 z #s(literal 3 binary64)))
(* -1 (* (pow z 3) (+ x (+ (* -1 y) (* -1 (/ (+ x (+ y (* -1 (/ (+ y (+ (* -1 x) (* -1 (/ (+ (* -1 x) (* -1 y)) z)))) z)))) z))))))
(*.f64 (fma.f64 #s(literal -1 binary64) x (+.f64 (/.f64 (+.f64 (-.f64 y (/.f64 (+.f64 (-.f64 (/.f64 (+.f64 x y) z) x) y) z)) x) z) y)) (pow.f64 z #s(literal 3 binary64)))

rewrite416.0ms (7%)

Memory
-25.6MiB live, 394.0MiB allocated; 130ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032170
057167
1211162
21773159
09347154
Stop Event
iter limit
node limit
iter limit
Counts
17 → 820
Calls
Call 1
Inputs
(fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (-.f64 #s(literal 1 binary64) z) x))
(-.f64 #s(literal 1 binary64) z)
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
(*.f64 (+.f64 x y) #s(approx (- 1 z) #s(literal 1 binary64)))
(+.f64 x y)
#s(approx (- 1 z) #s(literal 1 binary64))
(*.f64 #s(approx (+ x y) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) z))
#s(approx (+ x y) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)))
(neg.f64 x)
(/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y) (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 z z)) x))) (*.f64 (-.f64 #s(literal 1 binary64) z) (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64))))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y) (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 z z)) x)))
(*.f64 (-.f64 #s(literal 1 binary64) z) (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64)))
(fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y)
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 z z)) x)
Outputs
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 z #s(literal -1 binary64))) (-.f64 z #s(literal -1 binary64))) (/.f64 (*.f64 (-.f64 z #s(literal -1 binary64)) (-.f64 y x)) (-.f64 y x)))
(*.f64 (+.f64 x y) (-.f64 z #s(literal -1 binary64)))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 x y))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y (-.f64 z #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 z #s(literal -1 binary64)) (-.f64 y x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 x (-.f64 z #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 z #s(literal -1 binary64)) (-.f64 y x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 y (-.f64 z #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 z #s(literal -1 binary64)) (-.f64 y x))) (/.f64 (pow.f64 (*.f64 y (-.f64 z #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 z #s(literal -1 binary64)) (-.f64 y x))) (fma.f64 (/.f64 (pow.f64 (*.f64 x (-.f64 z #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 z #s(literal -1 binary64)) (-.f64 y x))) (/.f64 (pow.f64 (*.f64 x (-.f64 z #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 z #s(literal -1 binary64)) (-.f64 y x))) (*.f64 (/.f64 (pow.f64 (*.f64 y (-.f64 z #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 z #s(literal -1 binary64)) (-.f64 y x))) (/.f64 (pow.f64 (*.f64 x (-.f64 z #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 z #s(literal -1 binary64)) (-.f64 y x)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (-.f64 z #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) (-.f64 z #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y (-.f64 z #s(literal -1 binary64))) #s(literal 2 binary64)) (fma.f64 (*.f64 (neg.f64 x) (-.f64 z #s(literal -1 binary64))) (*.f64 (neg.f64 x) (-.f64 z #s(literal -1 binary64))) (*.f64 (*.f64 y (-.f64 z #s(literal -1 binary64))) (*.f64 (neg.f64 x) (-.f64 z #s(literal -1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 z #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 y) (-.f64 z #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (-.f64 z #s(literal -1 binary64))) #s(literal 2 binary64)) (fma.f64 (*.f64 (neg.f64 y) (-.f64 z #s(literal -1 binary64))) (*.f64 (neg.f64 y) (-.f64 z #s(literal -1 binary64))) (*.f64 (*.f64 x (-.f64 z #s(literal -1 binary64))) (*.f64 (neg.f64 y) (-.f64 z #s(literal -1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 z #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal -1 binary64) z) y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (-.f64 z #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal -1 binary64) z) y) #s(literal 2 binary64)) (*.f64 (*.f64 x (-.f64 z #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal -1 binary64) z) y)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y (-.f64 z #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 x (-.f64 z #s(literal -1 binary64))) (-.f64 (*.f64 x (-.f64 z #s(literal -1 binary64))) (*.f64 y (-.f64 z #s(literal -1 binary64)))) (pow.f64 (*.f64 y (-.f64 z #s(literal -1 binary64))) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 x (-.f64 z #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 x (-.f64 z #s(literal -1 binary64))) (-.f64 (*.f64 x (-.f64 z #s(literal -1 binary64))) (*.f64 y (-.f64 z #s(literal -1 binary64)))) (pow.f64 (*.f64 y (-.f64 z #s(literal -1 binary64))) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 y (-.f64 z #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 x (-.f64 z #s(literal -1 binary64))) (-.f64 (*.f64 x (-.f64 z #s(literal -1 binary64))) (*.f64 y (-.f64 z #s(literal -1 binary64)))) (pow.f64 (*.f64 y (-.f64 z #s(literal -1 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 y (-.f64 z #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 x (-.f64 z #s(literal -1 binary64))) (-.f64 (*.f64 x (-.f64 z #s(literal -1 binary64))) (*.f64 y (-.f64 z #s(literal -1 binary64)))) (pow.f64 (*.f64 y (-.f64 z #s(literal -1 binary64))) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 x (-.f64 z #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 x (-.f64 z #s(literal -1 binary64))) (-.f64 (*.f64 x (-.f64 z #s(literal -1 binary64))) (*.f64 y (-.f64 z #s(literal -1 binary64)))) (pow.f64 (*.f64 y (-.f64 z #s(literal -1 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 x (-.f64 z #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 x (-.f64 z #s(literal -1 binary64))) (-.f64 (*.f64 x (-.f64 z #s(literal -1 binary64))) (*.f64 y (-.f64 z #s(literal -1 binary64)))) (pow.f64 (*.f64 y (-.f64 z #s(literal -1 binary64))) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 y (-.f64 z #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 x (-.f64 z #s(literal -1 binary64))) (-.f64 (*.f64 x (-.f64 z #s(literal -1 binary64))) (*.f64 y (-.f64 z #s(literal -1 binary64)))) (pow.f64 (*.f64 y (-.f64 z #s(literal -1 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 x (-.f64 z #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 x (-.f64 z #s(literal -1 binary64))) (-.f64 (*.f64 x (-.f64 z #s(literal -1 binary64))) (*.f64 y (-.f64 z #s(literal -1 binary64)))) (pow.f64 (*.f64 y (-.f64 z #s(literal -1 binary64))) #s(literal 2 binary64))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (-.f64 z #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) z)) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y (-.f64 z #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) z)) x) (*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) z)) x)) (*.f64 (*.f64 y (-.f64 z #s(literal -1 binary64))) (*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) z)) x)))))
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) y (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) x)) (fma.f64 (-.f64 #s(literal -1 binary64) z) z #s(literal 1 binary64)))
(/.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) x)) (fma.f64 (-.f64 #s(literal -1 binary64) z) z #s(literal 1 binary64)))
(/.f64 (fma.f64 (fma.f64 z z #s(literal 1 binary64)) y (*.f64 (fma.f64 z z #s(literal 1 binary64)) x)) (-.f64 z #s(literal -1 binary64)))
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) y (*.f64 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 (fma.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (*.f64 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 (fma.f64 (fma.f64 z z #s(literal 1 binary64)) y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (-.f64 z #s(literal -1 binary64)))
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) x (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) y)) (fma.f64 (-.f64 #s(literal -1 binary64) z) z #s(literal 1 binary64)))
(/.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) y)) (fma.f64 (-.f64 #s(literal -1 binary64) z) z #s(literal 1 binary64)))
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) x (*.f64 y (-.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 (fma.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (*.f64 y (-.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 (fma.f64 (fma.f64 z z #s(literal 1 binary64)) x (*.f64 (fma.f64 z z #s(literal 1 binary64)) y)) (-.f64 z #s(literal -1 binary64)))
(/.f64 (fma.f64 x (fma.f64 z z #s(literal 1 binary64)) (*.f64 (fma.f64 z z #s(literal 1 binary64)) y)) (-.f64 z #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 z #s(literal -1 binary64)))) (neg.f64 (-.f64 x y)))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 z #s(literal -1 binary64)))) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 x y))) (neg.f64 (fma.f64 (-.f64 #s(literal -1 binary64) z) z #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (+.f64 x y))) (-.f64 #s(literal -1 binary64) z))
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.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 (neg.f64 (*.f64 (+.f64 x y) (fma.f64 z z #s(literal 1 binary64)))) (-.f64 #s(literal -1 binary64) z))
(/.f64 (neg.f64 (*.f64 (-.f64 z #s(literal -1 binary64)) (*.f64 (+.f64 x y) (-.f64 x y)))) (neg.f64 (-.f64 x y)))
(/.f64 (neg.f64 (*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 z #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 y (-.f64 z #s(literal -1 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 x (-.f64 z #s(literal -1 binary64))) (*.f64 y (-.f64 z #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y (-.f64 z #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal -1 binary64) z) x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 y (-.f64 z #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 x (-.f64 z #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 y (-.f64 z #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal -1 binary64) z) x))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y (-.f64 z #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 x (-.f64 z #s(literal -1 binary64))) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (*.f64 (-.f64 z #s(literal -1 binary64)) (-.f64 y x)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 z #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 y (-.f64 z #s(literal -1 binary64))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x (-.f64 z #s(literal -1 binary64))) (-.f64 (*.f64 x (-.f64 z #s(literal -1 binary64))) (*.f64 y (-.f64 z #s(literal -1 binary64)))) (pow.f64 (*.f64 y (-.f64 z #s(literal -1 binary64))) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))))) (neg.f64 (*.f64 (-.f64 x y) (fma.f64 (-.f64 #s(literal -1 binary64) z) z #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (fma.f64 z z #s(literal 1 binary64)))) (neg.f64 (*.f64 (-.f64 x y) (-.f64 z #s(literal -1 binary64)))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))))) (neg.f64 (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (fma.f64 (-.f64 #s(literal -1 binary64) z) z #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 z z #s(literal 1 binary64)))) (neg.f64 (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (-.f64 z #s(literal -1 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (*.f64 (+.f64 x y) (-.f64 x y)))) (neg.f64 (*.f64 (fma.f64 (-.f64 #s(literal -1 binary64) z) z #s(literal 1 binary64)) (-.f64 x y))))
(/.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 (*.f64 (fma.f64 (-.f64 #s(literal -1 binary64) z) z #s(literal 1 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 (+.f64 x y) (-.f64 x y)))) (neg.f64 (*.f64 (-.f64 z #s(literal -1 binary64)) (-.f64 x y))))
(/.f64 (neg.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (*.f64 (-.f64 z #s(literal -1 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 y (-.f64 z #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 z #s(literal -1 binary64)) (-.f64 y x))) (*.f64 (*.f64 (-.f64 z #s(literal -1 binary64)) (-.f64 y x)) (pow.f64 (*.f64 x (-.f64 z #s(literal -1 binary64))) #s(literal 2 binary64)))) (*.f64 (*.f64 (-.f64 z #s(literal -1 binary64)) (-.f64 y x)) (*.f64 (-.f64 z #s(literal -1 binary64)) (-.f64 y x))))
(/.f64 (fma.f64 (pow.f64 (*.f64 y (-.f64 z #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 x (-.f64 z #s(literal -1 binary64))) (-.f64 (*.f64 x (-.f64 z #s(literal -1 binary64))) (*.f64 y (-.f64 z #s(literal -1 binary64)))) (pow.f64 (*.f64 y (-.f64 z #s(literal -1 binary64))) #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 x (-.f64 z #s(literal -1 binary64))) (-.f64 (*.f64 x (-.f64 z #s(literal -1 binary64))) (*.f64 y (-.f64 z #s(literal -1 binary64)))) (pow.f64 (*.f64 y (-.f64 z #s(literal -1 binary64))) #s(literal 2 binary64))) (pow.f64 (*.f64 x (-.f64 z #s(literal -1 binary64))) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 x (-.f64 z #s(literal -1 binary64))) (-.f64 (*.f64 x (-.f64 z #s(literal -1 binary64))) (*.f64 y (-.f64 z #s(literal -1 binary64)))) (pow.f64 (*.f64 y (-.f64 z #s(literal -1 binary64))) #s(literal 2 binary64))) (fma.f64 (*.f64 x (-.f64 z #s(literal -1 binary64))) (-.f64 (*.f64 x (-.f64 z #s(literal -1 binary64))) (*.f64 y (-.f64 z #s(literal -1 binary64)))) (pow.f64 (*.f64 y (-.f64 z #s(literal -1 binary64))) #s(literal 2 binary64)))))
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(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z (-.f64 z #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z (-.f64 z #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z (-.f64 z #s(literal -1 binary64)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z (-.f64 z #s(literal -1 binary64)))) (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z (-.f64 z #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 z z (-.f64 z #s(literal -1 binary64))))) (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z (-.f64 z #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 z z (-.f64 z #s(literal -1 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 z z #s(literal -1 binary64)))) (neg.f64 (-.f64 #s(literal -1 binary64) z)))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 z z (-.f64 z #s(literal -1 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) #s(literal -1 binary64))) (neg.f64 (fma.f64 (-.f64 #s(literal -1 binary64) z) z #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (-.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 (neg.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) z))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64)))) (-.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 (fma.f64 (-.f64 #s(literal -1 binary64) z) z #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 z z #s(literal 1 binary64)))) (-.f64 #s(literal -1 binary64) z))
(/.f64 (-.f64 (*.f64 (*.f64 z z) (-.f64 z #s(literal -1 binary64))) (*.f64 (-.f64 z #s(literal -1 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 #s(literal -1 binary64) z) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z (-.f64 z #s(literal -1 binary64))) (*.f64 (fma.f64 z z (-.f64 z #s(literal -1 binary64))) #s(literal -1 binary64))) (*.f64 (fma.f64 z z (-.f64 z #s(literal -1 binary64))) (fma.f64 z z (-.f64 z #s(literal -1 binary64)))))
(/.f64 (*.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 #s(literal -1 binary64) (-.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 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 z #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))) (-.f64 z #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 z z (-.f64 z #s(literal -1 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (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 3 binary64)))) (neg.f64 (neg.f64 (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 3 binary64)))) (fma.f64 (-.f64 #s(literal -1 binary64) z) z #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 z z #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal -1 binary64) z)))
(/.f64 (neg.f64 (fma.f64 z z #s(literal 1 binary64))) (-.f64 z #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 z z #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) z))
(/.f64 (fma.f64 z z #s(literal -1 binary64)) (-.f64 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 z #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) z) z #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 z z (-.f64 z #s(literal -1 binary64))))
(/.f64 (fma.f64 z z #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) z))
(neg.f64 (-.f64 z #s(literal -1 binary64)))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) z #s(literal -1 binary64))
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64))
(fma.f64 z (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 z #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 z #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) z #s(literal -1 binary64))
(-.f64 (/.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) z)) (/.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) z)))
(-.f64 (/.f64 (pow.f64 (+.f64 (fma.f64 z z (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) z)) (/.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (+.f64 (fma.f64 z z (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) z)))
(-.f64 (/.f64 (pow.f64 (fma.f64 z z #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 z #s(literal -1 binary64))) (/.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z #s(literal -1 binary64))) (-.f64 z #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 #s(literal -1 binary64) z) z #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 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) z)) (/.f64 (*.f64 z z) (-.f64 #s(literal -1 binary64) z)))
(-.f64 (/.f64 #s(literal -1 binary64) (-.f64 z #s(literal -1 binary64))) (/.f64 (*.f64 z z) (-.f64 #s(literal -1 binary64) z)))
(-.f64 (/.f64 (*.f64 z z) (-.f64 #s(literal -1 binary64) z)) (pow.f64 (-.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal -1 binary64) z)
(+.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (fma.f64 z z (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64))) (-.f64 z #s(literal -1 binary64))) (/.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (+.f64 (fma.f64 z z (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64))) (-.f64 z #s(literal -1 binary64))))
(+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal -1 binary64) z) z #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 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) z)) (/.f64 (*.f64 z z) (-.f64 #s(literal -1 binary64) z)))
(+.f64 (/.f64 #s(literal -1 binary64) (-.f64 z #s(literal -1 binary64))) (/.f64 (*.f64 z z) (-.f64 #s(literal -1 binary64) z)))
(+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z (-.f64 z #s(literal -1 binary64)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z (-.f64 z #s(literal -1 binary64)))))
(+.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z (-.f64 z #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 z z (-.f64 z #s(literal -1 binary64)))))
(+.f64 (/.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) (fma.f64 (-.f64 #s(literal -1 binary64) z) z #s(literal 1 binary64))))
(+.f64 (/.f64 (*.f64 z z) (-.f64 #s(literal -1 binary64) z)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) z)))
(+.f64 (/.f64 (*.f64 z z) (-.f64 #s(literal -1 binary64) z)) (/.f64 #s(literal -1 binary64) (-.f64 z #s(literal -1 binary64))))
(+.f64 #s(literal -1 binary64) z)
(+.f64 z #s(literal -1 binary64))
(*.f64 (fma.f64 z z #s(literal 1 binary64)) y)
(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 z z) y) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1 binary64) y) (-.f64 (*.f64 (*.f64 (*.f64 z z) y) (*.f64 (*.f64 z z) y)) (*.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 z z) y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 3 binary64))) (fma.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 y #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 y (*.f64 z z)) (*.f64 y (*.f64 z z))) (*.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 y (*.f64 z z))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) y)) (neg.f64 (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) y)) (neg.f64 (+.f64 (fma.f64 z z (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))))) (neg.f64 (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))))) (neg.f64 (+.f64 (fma.f64 z z (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) y) (fma.f64 z z #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) y) (+.f64 (fma.f64 z z (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)))
(/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 z z #s(literal 1 binary64)))
(/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64)))) (+.f64 (fma.f64 z z (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)))
(fma.f64 y #s(literal 1 binary64) (*.f64 y (*.f64 z z)))
(fma.f64 #s(literal 1 binary64) y (*.f64 (*.f64 z z) y))
(+.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 z z) y))
(+.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 y (*.f64 z z)))
(*.f64 (fma.f64 z z #s(literal -1 binary64)) x)
(*.f64 x (fma.f64 z z #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 z z) x) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) x) (-.f64 (*.f64 (*.f64 (*.f64 z z) x) (*.f64 (*.f64 z z) x)) (*.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 z z) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 z z) x) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 z z) x) (*.f64 (*.f64 z z) x) (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) x)) (*.f64 (*.f64 (*.f64 z z) x) (*.f64 #s(literal -1 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 z z)) #s(literal 3 binary64))) (fma.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 x #s(literal -1 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 z z)) (*.f64 x (*.f64 z z))) (*.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 x (*.f64 z z))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 z z)) #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 x (*.f64 z z)) (*.f64 x (*.f64 z z)) (-.f64 (*.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 x #s(literal -1 binary64))) (*.f64 (*.f64 x (*.f64 z z)) (*.f64 x #s(literal -1 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) x)) (neg.f64 (fma.f64 z z #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal -1 binary64)) x)) (neg.f64 (+.f64 (fma.f64 z z (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))))) (neg.f64 (fma.f64 z z #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 x (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal -1 binary64)))) (neg.f64 (+.f64 (fma.f64 z z (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) x) (fma.f64 z z #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal -1 binary64)) x) (+.f64 (fma.f64 z z (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 z z #s(literal -1 binary64)))
(/.f64 (*.f64 x (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal -1 binary64))) (+.f64 (fma.f64 z z (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) x (*.f64 (*.f64 z z) x))
(fma.f64 (*.f64 z z) x (*.f64 #s(literal -1 binary64) x))
(fma.f64 x #s(literal -1 binary64) (*.f64 x (*.f64 z z)))
(fma.f64 x (*.f64 z z) (*.f64 x #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 z z) x))
(+.f64 (*.f64 (*.f64 z z) x) (*.f64 #s(literal -1 binary64) x))
(+.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 x (*.f64 z z)))
(+.f64 (*.f64 x (*.f64 z z)) (*.f64 x #s(literal -1 binary64)))

eval214.0ms (3.6%)

Memory
40.8MiB live, 274.6MiB allocated; 48ms collecting garbage
Compiler

Compiled 49 896 to 3 554 computations (92.9% saved)

prune36.0ms (0.6%)

Memory
-21.2MiB live, 69.7MiB allocated; 9ms collecting garbage
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1 22171 228
Fresh213
Picked505
Done000
Total1 22881 236
Accuracy
100.0%
Counts
1 236 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.7%
(fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
49.2%
(*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z)))
52.0%
#s(approx (/ (+ (* (* (- 1 (* z z)) y) (+ (* -1 z) -1)) (* (- 1 z) (* (+ -1 (* z z)) x))) (* (- 1 z) (+ (* -1 z) -1))) (+.f64 x y))
78.1%
#s(approx (+ (* (- 1 z) y) (* (- 1 z) x)) (*.f64 (-.f64 (-.f64 (/.f64 (+.f64 x y) z) y) x) z))
55.9%
#s(approx (+ (* (- 1 z) y) (* (- 1 z) x)) (*.f64 (-.f64 #s(literal 1 binary64) z) y))
26.1%
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
23.8%
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))
48.0%
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) x) (fma.f64 (neg.f64 z) x x)))
Compiler

Compiled 304 to 200 computations (34.2% saved)

simplify153.0ms (2.6%)

Memory
29.3MiB live, 176.9MiB allocated; 51ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
038203
049193
1113193
2384185
32004177
08713176
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (+ (* (- 1 z) y) (* (- 1 z) x)) (*.f64 (-.f64 (-.f64 (/.f64 (+.f64 x y) z) y) x) z))
(*.f64 (-.f64 (-.f64 (/.f64 (+.f64 x y) z) y) x) z)
(-.f64 (-.f64 (/.f64 (+.f64 x y) z) y) x)
(-.f64 (/.f64 (+.f64 x y) z) y)
(/.f64 (+.f64 x y) z)
(+.f64 x y)
x
y
z
#s(approx (/ (+ (* (* (- 1 (* z z)) y) (+ (* -1 z) -1)) (* (- 1 z) (* (+ -1 (* z z)) x))) (* (- 1 z) (+ (* -1 z) -1))) (+.f64 x y))
(+.f64 x y)
x
y
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
(*.f64 #s(approx (- 1 z) (neg.f64 z)) x)
#s(approx (- 1 z) (neg.f64 z))
(neg.f64 z)
z
x
#s(approx (+ (* (- 1 z) y) (* (- 1 z) x)) (*.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
(fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
y
(*.f64 #s(approx (- 1 z) (neg.f64 z)) x)
#s(approx (- 1 z) (neg.f64 z))
(neg.f64 z)
x
Outputs
#s(approx (+ (* (- 1 z) y) (* (- 1 z) x)) (*.f64 (-.f64 (-.f64 (/.f64 (+.f64 x y) z) y) x) z))
(*.f64 (-.f64 (-.f64 (/.f64 (+.f64 x y) z) y) x) z)
(-.f64 (-.f64 (/.f64 (+.f64 x y) z) y) x)
(-.f64 (/.f64 (+.f64 x y) z) y)
(/.f64 (+.f64 x y) z)
(+.f64 x y)
x
y
z
#s(approx (/ (+ (* (* (- 1 (* z z)) y) (+ (* -1 z) -1)) (* (- 1 z) (* (+ -1 (* z z)) x))) (* (- 1 z) (+ (* -1 z) -1))) (+.f64 x y))
(+.f64 x y)
x
y
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
#s(approx (+ (* (- 1 z) y) (* (- 1 z) x)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
(*.f64 #s(approx (- 1 z) (neg.f64 z)) x)
#s(approx (- 1 z) (neg.f64 z))
(neg.f64 z)
z
x
#s(approx (+ (* (- 1 z) y) (* (- 1 z) x)) (*.f64 (-.f64 #s(literal 1 binary64) z) y))
#s(approx (+ (* (- 1 z) y) (* (- 1 z) x)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) y)
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
y
(fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
(fma.f64 #s(approx (- 1 z) (neg.f64 z)) x (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
y
(*.f64 #s(approx (- 1 z) (neg.f64 z)) x)
#s(approx (- 1 z) (neg.f64 z))
(neg.f64 z)
x

localize98.0ms (1.7%)

Memory
-4.1MiB live, 142.9MiB allocated; 18ms collecting garbage
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(neg.f64 z)
accuracy0.01171875
(*.f64 #s(approx (- 1 z) (neg.f64 z)) x)
accuracy0.5039007452111204
(fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
accuracy32.37137530678026
#s(approx (- 1 z) (neg.f64 z))
accuracy0.0
(-.f64 #s(literal 1 binary64) z)
accuracy0.01171875
(*.f64 (-.f64 #s(literal 1 binary64) z) y)
accuracy28.222646745311902
#s(approx (+ (* (- 1 z) y) (* (- 1 z) x)) (*.f64 (-.f64 #s(literal 1 binary64) z) y))
accuracy0.0
(neg.f64 z)
accuracy0.01171875
(*.f64 #s(approx (- 1 z) (neg.f64 z)) x)
accuracy32.37137530678026
#s(approx (- 1 z) (neg.f64 z))
accuracy33.27100390837372
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
accuracy0.0
(+.f64 x y)
accuracy30.710239276066247
#s(approx (/ (+ (* (* (- 1 (* z z)) y) (+ (* -1 z) -1)) (* (- 1 z) (* (+ -1 (* z z)) x))) (* (- 1 z) (+ (* -1 z) -1))) (+.f64 x y))
accuracy0.0
#s(approx (+ (* (- 1 z) y) (* (- 1 z) x)) (*.f64 (-.f64 (-.f64 (/.f64 (+.f64 x y) z) y) x) z))
accuracy0.0078125
(/.f64 (+.f64 x y) z)
accuracy0.0078125
(-.f64 (/.f64 (+.f64 x y) z) y)
accuracy14.04660785324678
(*.f64 (-.f64 (-.f64 (/.f64 (+.f64 x y) z) y) x) z)
Samples
82.0ms256×0valid
Compiler

Compiled 160 to 30 computations (81.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-mult: 22.0ms (59.4% of total)
ival-add: 5.0ms (13.5% of total)
ival-sub: 5.0ms (13.5% of total)
ival-div: 3.0ms (8.1% of total)
ival-neg: 1.0ms (2.7% 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
-37.6MiB live, 55.5MiB allocated; 6ms collecting garbage
Counts
15 → 97
Calls
Call 1
Inputs
#s(approx (+ (* (- 1 z) y) (* (- 1 z) x)) (*.f64 (-.f64 (-.f64 (/.f64 (+.f64 x y) z) y) x) z))
(*.f64 (-.f64 (-.f64 (/.f64 (+.f64 x y) z) y) x) z)
(-.f64 (-.f64 (/.f64 (+.f64 x y) z) y) x)
(-.f64 (/.f64 (+.f64 x y) z) y)
#s(approx (/ (+ (* (* (- 1 (* z z)) y) (+ (* -1 z) -1)) (* (- 1 z) (* (+ -1 (* z z)) x))) (* (- 1 z) (+ (* -1 z) -1))) (+.f64 x y))
(+.f64 x y)
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
(*.f64 #s(approx (- 1 z) (neg.f64 z)) x)
#s(approx (- 1 z) (neg.f64 z))
(neg.f64 z)
#s(approx (+ (* (- 1 z) y) (* (- 1 z) x)) (*.f64 (-.f64 #s(literal 1 binary64) z) y))
(*.f64 (-.f64 #s(literal 1 binary64) z) y)
(-.f64 #s(literal 1 binary64) z)
(fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
(/.f64 (+.f64 x y) z)
Outputs
(* y (- 1 z))
(+ (* x (- 1 z)) (* y (- 1 z)))
(* z (- (/ y z) y))
(+ (* x (* z (- (/ 1 z) 1))) (* z (- (/ y z) y)))
(- (/ y z) y)
(- (+ (* x (- (/ 1 z) 1)) (/ y z)) y)
(- (+ (/ x z) (/ y z)) y)
(/ (* y (- 1 (pow z 2))) (- 1 z))
(+ (* x (- (/ (pow z 2) (- (* -1 z) 1)) (/ 1 (- (* -1 z) 1)))) (/ (* y (- 1 (pow z 2))) (- 1 z)))
y
(+ x y)
(* x (- 1 z))
(/ y z)
(+ (/ x z) (/ y z))
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z))
(* x (* z (- (/ 1 z) 1)))
(* x (+ (* z (- (/ 1 z) 1)) (/ (* z (- (/ y z) y)) x)))
(* x (- (/ 1 z) 1))
(* x (- (+ (/ 1 z) (/ y (* x z))) (+ 1 (/ y x))))
(/ x z)
(* x (- (+ (/ 1 z) (/ y (* x z))) (/ y x)))
(/ (* x (- (pow z 2) 1)) (- (* -1 z) 1))
(* x (- (+ (/ (* y (- 1 (pow z 2))) (* x (- 1 z))) (/ (pow z 2) (- (* -1 z) 1))) (/ 1 (- (* -1 z) 1))))
x
(* x (+ 1 (/ y x)))
(* x (+ (/ 1 z) (/ y (* x z))))
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x)))))
(* -1 (* x (* z (- 1 (/ 1 z)))))
(* -1 (* x (+ (* -1 (/ (* z (- (/ y z) y)) x)) (* z (- 1 (/ 1 z))))))
(* -1 (* x (- 1 (/ 1 z))))
(* -1 (* x (- (+ 1 (* -1 (/ (- (/ y z) y) x))) (/ 1 z))))
(* -1 (* x (- (* -1 (/ (- (/ y z) y) x)) (/ 1 z))))
(* -1 (* x (+ (* -1 (/ (* y (- 1 (pow z 2))) (* x (- 1 z)))) (* -1 (/ (- (pow z 2) 1) (- (* -1 z) 1))))))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y (* x z))) (/ 1 z))))
(* z (- (/ x z) x))
(+ (* y (* z (- (/ 1 z) 1))) (* z (- (/ x z) x)))
(- (/ x z) x)
(- (+ (* y (- (/ 1 z) 1)) (/ x z)) x)
(+ (* y (- (/ 1 z) 1)) (/ x z))
(+ (* y (- (/ 1 (- 1 z)) (/ (pow z 2) (- 1 z)))) (/ (* x (- (pow z 2) 1)) (- (* -1 z) 1)))
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z))
(* y (* z (- (/ 1 z) 1)))
(* y (+ (* z (- (/ 1 z) 1)) (/ (* z (- (/ x z) x)) y)))
(* y (- (/ 1 z) 1))
(* y (- (+ (/ 1 z) (/ x (* y z))) (+ 1 (/ x y))))
(* y (- (+ (/ 1 z) (/ x (* y z))) 1))
(* y (- (+ (/ 1 (- 1 z)) (/ (* x (- (pow z 2) 1)) (* y (- (* -1 z) 1)))) (/ (pow z 2) (- 1 z))))
(* y (+ 1 (/ x y)))
(* y (+ (/ 1 z) (/ x (* y z))))
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y)))))
(* -1 (* y (* z (- 1 (/ 1 z)))))
(* -1 (* y (+ (* -1 (/ (* z (- (/ x z) x)) y)) (* z (- 1 (/ 1 z))))))
(* -1 (* y (- 1 (/ 1 z))))
(* -1 (* y (- (+ 1 (* -1 (/ (- (/ x z) x) y))) (/ 1 z))))
(* -1 (* y (- (+ 1 (* -1 (/ x (* y z)))) (/ 1 z))))
(* -1 (* y (+ (* -1 (/ (* x (- (pow z 2) 1)) (* y (- (* -1 z) 1)))) (* -1 (/ (- 1 (pow z 2)) (- 1 z))))))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x (* y z))) (/ 1 z))))
(+ x (+ y (* z (+ (* -1 x) (* -1 y)))))
(+ x (+ y (* -1 (* z (+ x y)))))
(/ (+ x y) z)
(/ (+ x (+ y (* -1 (* z (+ x y))))) z)
(/ (+ x (+ y (* -1 (* y z)))) z)
(* -1 (+ (* -1 x) (* -1 y)))
(+ (* -1 (* z (+ x (* -1 y)))) (* -1 (+ (* -1 x) (* -1 y))))
(+ (* -1 (+ (* -1 x) (* -1 y))) (* z (+ (* -1 (+ x (* -1 y))) (* z (- (* -1 (+ x y)) (+ (* -1 x) (* -1 y)))))))
(+ (* -1 (+ (* -1 x) (* -1 y))) (* z (+ (* -1 (+ x (* -1 y))) (* z (- (+ (* -1 (+ x y)) (* z (- (* -1 (+ y (* -1 x))) (+ x (* -1 y))))) (+ (* -1 x) (* -1 y)))))))
(+ x (* -1 (* x z)))
1
(+ 1 (* -1 z))
(* -1 z)
(+ y (* -1 (* y z)))
(* z (+ (* -1 x) (* -1 y)))
(* z (+ (* -1 x) (+ (* -1 y) (+ (/ x z) (/ y z)))))
(* -1 (* z (+ x y)))
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(* -1 (+ x y))
(- (+ (/ x z) (/ y z)) (+ x y))
(* -1 y)
(* z (+ y (* -1 x)))
(* z (+ y (+ (* -1 x) (+ (/ x z) (/ y z)))))
(* z (+ y (+ (* -1 x) (+ (* -1 (/ (- (* -1 (+ x (* -1 y))) (+ y (* -1 x))) (pow z 2))) (+ (/ x z) (/ y z))))))
(* z (+ y (+ (* -1 x) (+ (* -1 (/ (- (* -1 (+ x (* -1 y))) (+ y (* -1 x))) (pow z 2))) (+ (* -1 (/ (- (* -1 (+ (* -1 x) (* -1 y))) (+ x y)) (pow z 3))) (+ (/ 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 (+ x (+ y (* -1 (/ (+ x y) z))))))
(* -1 (* z (+ x (* -1 y))))
(* -1 (* z (+ x (+ (* -1 y) (* -1 (/ (+ x y) z))))))
(* -1 (* z (+ x (+ (* -1 y) (* -1 (/ (+ x (+ y (* -1 (/ (- (+ y (* -1 x)) (* -1 (+ x (* -1 y)))) z)))) z))))))
(* -1 (* z (+ x (+ (* -1 y) (* -1 (/ (+ x (+ y (* -1 (/ (- (+ y (+ (* -1 x) (* -1 (/ (- (+ (* -1 x) (* -1 y)) (* -1 (+ x y))) z)))) (* -1 (+ x (* -1 y)))) z)))) z))))))
(* -1 (* z (+ x (* -1 (/ x z)))))
(* -1 (* z (- 1 (/ 1 z))))
(* -1 (* z (+ y (* -1 (/ y z)))))
Calls

9 calls:

TimeVariablePointExpression
4.0ms
x
@0
((+ (* (- 1 z) y) (* (- 1 z) x)) (* (- (- (/ (+ x y) z) y) x) z) (- (- (/ (+ x y) z) y) x) (- (/ (+ x y) z) y) (/ (+ (* (* (- 1 (* z z)) y) (+ (* -1 z) -1)) (* (- 1 z) (* (+ -1 (* z z)) x))) (* (- 1 z) (+ (* -1 z) -1))) (+ x y) (* (+ x y) (- 1 z)) (* (- 1 z) x) (- 1 z) (neg z) (+ (* (- 1 z) y) (* (- 1 z) x)) (* (- 1 z) y) (- 1 z) (+ (* (- 1 z) y) (* (- 1 z) x)) (/ (+ x y) z))
3.0ms
z
@-inf
((+ (* (- 1 z) y) (* (- 1 z) x)) (* (- (- (/ (+ x y) z) y) x) z) (- (- (/ (+ x y) z) y) x) (- (/ (+ x y) z) y) (/ (+ (* (* (- 1 (* z z)) y) (+ (* -1 z) -1)) (* (- 1 z) (* (+ -1 (* z z)) x))) (* (- 1 z) (+ (* -1 z) -1))) (+ x y) (* (+ x y) (- 1 z)) (* (- 1 z) x) (- 1 z) (neg z) (+ (* (- 1 z) y) (* (- 1 z) x)) (* (- 1 z) y) (- 1 z) (+ (* (- 1 z) y) (* (- 1 z) x)) (/ (+ x y) z))
2.0ms
x
@inf
((+ (* (- 1 z) y) (* (- 1 z) x)) (* (- (- (/ (+ x y) z) y) x) z) (- (- (/ (+ x y) z) y) x) (- (/ (+ x y) z) y) (/ (+ (* (* (- 1 (* z z)) y) (+ (* -1 z) -1)) (* (- 1 z) (* (+ -1 (* z z)) x))) (* (- 1 z) (+ (* -1 z) -1))) (+ x y) (* (+ x y) (- 1 z)) (* (- 1 z) x) (- 1 z) (neg z) (+ (* (- 1 z) y) (* (- 1 z) x)) (* (- 1 z) y) (- 1 z) (+ (* (- 1 z) y) (* (- 1 z) x)) (/ (+ x y) z))
2.0ms
x
@-inf
((+ (* (- 1 z) y) (* (- 1 z) x)) (* (- (- (/ (+ x y) z) y) x) z) (- (- (/ (+ x y) z) y) x) (- (/ (+ x y) z) y) (/ (+ (* (* (- 1 (* z z)) y) (+ (* -1 z) -1)) (* (- 1 z) (* (+ -1 (* z z)) x))) (* (- 1 z) (+ (* -1 z) -1))) (+ x y) (* (+ x y) (- 1 z)) (* (- 1 z) x) (- 1 z) (neg z) (+ (* (- 1 z) y) (* (- 1 z) x)) (* (- 1 z) y) (- 1 z) (+ (* (- 1 z) y) (* (- 1 z) x)) (/ (+ x y) z))
2.0ms
y
@-inf
((+ (* (- 1 z) y) (* (- 1 z) x)) (* (- (- (/ (+ x y) z) y) x) z) (- (- (/ (+ x y) z) y) x) (- (/ (+ x y) z) y) (/ (+ (* (* (- 1 (* z z)) y) (+ (* -1 z) -1)) (* (- 1 z) (* (+ -1 (* z z)) x))) (* (- 1 z) (+ (* -1 z) -1))) (+ x y) (* (+ x y) (- 1 z)) (* (- 1 z) x) (- 1 z) (neg z) (+ (* (- 1 z) y) (* (- 1 z) x)) (* (- 1 z) y) (- 1 z) (+ (* (- 1 z) y) (* (- 1 z) x)) (/ (+ x y) z))

simplify160.0ms (2.7%)

Memory
11.0MiB live, 239.3MiB allocated; 23ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02871138
110311002
23859991
08239953
Stop Event
iter limit
node limit
Counts
97 → 95
Calls
Call 1
Inputs
(* y (- 1 z))
(+ (* x (- 1 z)) (* y (- 1 z)))
(* z (- (/ y z) y))
(+ (* x (* z (- (/ 1 z) 1))) (* z (- (/ y z) y)))
(- (/ y z) y)
(- (+ (* x (- (/ 1 z) 1)) (/ y z)) y)
(- (+ (/ x z) (/ y z)) y)
(/ (* y (- 1 (pow z 2))) (- 1 z))
(+ (* x (- (/ (pow z 2) (- (* -1 z) 1)) (/ 1 (- (* -1 z) 1)))) (/ (* y (- 1 (pow z 2))) (- 1 z)))
y
(+ x y)
(* x (- 1 z))
(/ y z)
(+ (/ x z) (/ y z))
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z))
(* x (* z (- (/ 1 z) 1)))
(* x (+ (* z (- (/ 1 z) 1)) (/ (* z (- (/ y z) y)) x)))
(* x (- (/ 1 z) 1))
(* x (- (+ (/ 1 z) (/ y (* x z))) (+ 1 (/ y x))))
(/ x z)
(* x (- (+ (/ 1 z) (/ y (* x z))) (/ y x)))
(/ (* x (- (pow z 2) 1)) (- (* -1 z) 1))
(* x (- (+ (/ (* y (- 1 (pow z 2))) (* x (- 1 z))) (/ (pow z 2) (- (* -1 z) 1))) (/ 1 (- (* -1 z) 1))))
x
(* x (+ 1 (/ y x)))
(* x (+ (/ 1 z) (/ y (* x z))))
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x)))))
(* -1 (* x (* z (- 1 (/ 1 z)))))
(* -1 (* x (+ (* -1 (/ (* z (- (/ y z) y)) x)) (* z (- 1 (/ 1 z))))))
(* -1 (* x (- 1 (/ 1 z))))
(* -1 (* x (- (+ 1 (* -1 (/ (- (/ y z) y) x))) (/ 1 z))))
(* -1 (* x (- (* -1 (/ (- (/ y z) y) x)) (/ 1 z))))
(* -1 (* x (+ (* -1 (/ (* y (- 1 (pow z 2))) (* x (- 1 z)))) (* -1 (/ (- (pow z 2) 1) (- (* -1 z) 1))))))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y (* x z))) (/ 1 z))))
(* z (- (/ x z) x))
(+ (* y (* z (- (/ 1 z) 1))) (* z (- (/ x z) x)))
(- (/ x z) x)
(- (+ (* y (- (/ 1 z) 1)) (/ x z)) x)
(+ (* y (- (/ 1 z) 1)) (/ x z))
(+ (* y (- (/ 1 (- 1 z)) (/ (pow z 2) (- 1 z)))) (/ (* x (- (pow z 2) 1)) (- (* -1 z) 1)))
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z))
(* y (* z (- (/ 1 z) 1)))
(* y (+ (* z (- (/ 1 z) 1)) (/ (* z (- (/ x z) x)) y)))
(* y (- (/ 1 z) 1))
(* y (- (+ (/ 1 z) (/ x (* y z))) (+ 1 (/ x y))))
(* y (- (+ (/ 1 z) (/ x (* y z))) 1))
(* y (- (+ (/ 1 (- 1 z)) (/ (* x (- (pow z 2) 1)) (* y (- (* -1 z) 1)))) (/ (pow z 2) (- 1 z))))
(* y (+ 1 (/ x y)))
(* y (+ (/ 1 z) (/ x (* y z))))
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y)))))
(* -1 (* y (* z (- 1 (/ 1 z)))))
(* -1 (* y (+ (* -1 (/ (* z (- (/ x z) x)) y)) (* z (- 1 (/ 1 z))))))
(* -1 (* y (- 1 (/ 1 z))))
(* -1 (* y (- (+ 1 (* -1 (/ (- (/ x z) x) y))) (/ 1 z))))
(* -1 (* y (- (+ 1 (* -1 (/ x (* y z)))) (/ 1 z))))
(* -1 (* y (+ (* -1 (/ (* x (- (pow z 2) 1)) (* y (- (* -1 z) 1)))) (* -1 (/ (- 1 (pow z 2)) (- 1 z))))))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x (* y z))) (/ 1 z))))
(+ x (+ y (* z (+ (* -1 x) (* -1 y)))))
(+ x (+ y (* -1 (* z (+ x y)))))
(/ (+ x y) z)
(/ (+ x (+ y (* -1 (* z (+ x y))))) z)
(/ (+ x (+ y (* -1 (* y z)))) z)
(* -1 (+ (* -1 x) (* -1 y)))
(+ (* -1 (* z (+ x (* -1 y)))) (* -1 (+ (* -1 x) (* -1 y))))
(+ (* -1 (+ (* -1 x) (* -1 y))) (* z (+ (* -1 (+ x (* -1 y))) (* z (- (* -1 (+ x y)) (+ (* -1 x) (* -1 y)))))))
(+ (* -1 (+ (* -1 x) (* -1 y))) (* z (+ (* -1 (+ x (* -1 y))) (* z (- (+ (* -1 (+ x y)) (* z (- (* -1 (+ y (* -1 x))) (+ x (* -1 y))))) (+ (* -1 x) (* -1 y)))))))
(+ x (* -1 (* x z)))
1
(+ 1 (* -1 z))
(* -1 z)
(+ y (* -1 (* y z)))
(* z (+ (* -1 x) (* -1 y)))
(* z (+ (* -1 x) (+ (* -1 y) (+ (/ x z) (/ y z)))))
(* -1 (* z (+ x y)))
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(* -1 (+ x y))
(- (+ (/ x z) (/ y z)) (+ x y))
(* -1 y)
(* z (+ y (* -1 x)))
(* z (+ y (+ (* -1 x) (+ (/ x z) (/ y z)))))
(* z (+ y (+ (* -1 x) (+ (* -1 (/ (- (* -1 (+ x (* -1 y))) (+ y (* -1 x))) (pow z 2))) (+ (/ x z) (/ y z))))))
(* z (+ y (+ (* -1 x) (+ (* -1 (/ (- (* -1 (+ x (* -1 y))) (+ y (* -1 x))) (pow z 2))) (+ (* -1 (/ (- (* -1 (+ (* -1 x) (* -1 y))) (+ x y)) (pow z 3))) (+ (/ 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 (+ x (+ y (* -1 (/ (+ x y) z))))))
(* -1 (* z (+ x (* -1 y))))
(* -1 (* z (+ x (+ (* -1 y) (* -1 (/ (+ x y) z))))))
(* -1 (* z (+ x (+ (* -1 y) (* -1 (/ (+ x (+ y (* -1 (/ (- (+ y (* -1 x)) (* -1 (+ x (* -1 y)))) z)))) z))))))
(* -1 (* z (+ x (+ (* -1 y) (* -1 (/ (+ x (+ y (* -1 (/ (- (+ y (+ (* -1 x) (* -1 (/ (- (+ (* -1 x) (* -1 y)) (* -1 (+ x y))) z)))) (* -1 (+ x (* -1 y)))) z)))) z))))))
(* -1 (* z (+ x (* -1 (/ x z)))))
(* -1 (* z (- 1 (/ 1 z))))
(* -1 (* z (+ y (* -1 (/ y z)))))
Outputs
(* y (- 1 z))
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(+ (* x (- 1 z)) (* y (- 1 z)))
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(* z (- (/ y z) y))
(*.f64 (-.f64 (/.f64 y z) y) z)
(+ (* x (* z (- (/ 1 z) 1))) (* z (- (/ y z) y)))
(fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) z) x (*.f64 (-.f64 (/.f64 y z) y) z))
(- (/ y z) y)
(-.f64 (/.f64 y z) y)
(- (+ (* x (- (/ 1 z) 1)) (/ y z)) y)
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) x (-.f64 (/.f64 y z) y))
(- (+ (/ x z) (/ y z)) y)
(-.f64 (/.f64 (+.f64 x y) z) y)
(/ (* y (- 1 (pow z 2))) (- 1 z))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 y (-.f64 #s(literal 1 binary64) z)))
(+ (* x (- (/ (pow z 2) (- (* -1 z) 1)) (/ 1 (- (* -1 z) 1)))) (/ (* y (- 1 (pow z 2))) (- 1 z)))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 y (-.f64 #s(literal 1 binary64) z)) (/.f64 (*.f64 (fma.f64 z z #s(literal -1 binary64)) x) (-.f64 (neg.f64 z) #s(literal 1 binary64))))
y
(+ x y)
(+.f64 x y)
(* x (- 1 z))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(/ y z)
(/.f64 y z)
(+ (/ x z) (/ y z))
(/.f64 (+.f64 x y) z)
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z))
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) x) y (-.f64 #s(literal 1 binary64) z)) x)
(* x (* z (- (/ 1 z) 1)))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) z) x)
(* x (+ (* z (- (/ 1 z) 1)) (/ (* z (- (/ y z) y)) x)))
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(* x (- (/ 1 z) 1))
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(/ x z)
(/.f64 x z)
(* x (- (+ (/ 1 z) (/ y (* x z))) (/ y x)))
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(/ (* x (- (pow z 2) 1)) (- (* -1 z) 1))
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x
(* x (+ 1 (/ y x)))
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(* x (+ (/ 1 z) (/ y (* x z))))
(/.f64 (fma.f64 (/.f64 y x) x x) z)
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x)))))
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) x) y (-.f64 #s(literal 1 binary64) z)) x)
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(*.f64 (neg.f64 x) (fma.f64 (-.f64 y (/.f64 y z)) (/.f64 z x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) z)))
(* -1 (* x (- 1 (/ 1 z))))
(*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))
(* -1 (* x (- (+ 1 (* -1 (/ (- (/ y z) y) x))) (/ 1 z))))
(neg.f64 (fma.f64 (-.f64 (/.f64 (-.f64 y (/.f64 y z)) x) (/.f64 #s(literal 1 binary64) z)) x x))
(* -1 (* x (- (* -1 (/ (- (/ y z) y) x)) (/ 1 z))))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 y (/.f64 y z)) x) (/.f64 #s(literal 1 binary64) z)))
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(* -1 (* x (- (* -1 (/ y x)) 1)))
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(* -1 (* x (- (* -1 (/ y (* x z))) (/ 1 z))))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (/.f64 (neg.f64 y) z) x) (/.f64 #s(literal 1 binary64) z)))
(* z (- (/ x z) x))
(*.f64 (-.f64 (/.f64 x z) x) z)
(+ (* y (* z (- (/ 1 z) 1))) (* z (- (/ x z) x)))
(fma.f64 (-.f64 (/.f64 x z) x) z (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) z) y))
(- (/ x z) x)
(-.f64 (/.f64 x z) x)
(- (+ (* y (- (/ 1 z) 1)) (/ x z)) x)
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) y (-.f64 (/.f64 x z) x))
(+ (* y (- (/ 1 z) 1)) (/ x z))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) y (/.f64 x z))
(+ (* y (- (/ 1 (- 1 z)) (/ (pow z 2) (- 1 z)))) (/ (* x (- (pow z 2) 1)) (- (* -1 z) 1)))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 y (-.f64 #s(literal 1 binary64) z)) (/.f64 (*.f64 (fma.f64 z z #s(literal -1 binary64)) x) (-.f64 (neg.f64 z) #s(literal 1 binary64))))
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z))
(fma.f64 (-.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y) z) y y)
(* y (* z (- (/ 1 z) 1)))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) z) y)
(* y (+ (* z (- (/ 1 z) 1)) (/ (* z (- (/ x z) x)) y)))
(*.f64 (*.f64 z (+.f64 (/.f64 (-.f64 (/.f64 x z) x) y) (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))) y)
(* y (- (/ 1 z) 1))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) y)
(* y (- (+ (/ 1 z) (/ x (* y z))) (+ 1 (/ x y))))
(fma.f64 (-.f64 (/.f64 (-.f64 (/.f64 x z) x) y) #s(literal 1 binary64)) y (/.f64 y z))
(* y (- (+ (/ 1 z) (/ x (* y z))) 1))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) z) #s(literal 1 binary64)) y)
(* y (- (+ (/ 1 (- 1 z)) (/ (* x (- (pow z 2) 1)) (* y (- (* -1 z) 1)))) (/ (pow z 2) (- 1 z))))
(*.f64 (fma.f64 (/.f64 x y) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (-.f64 (neg.f64 z) #s(literal 1 binary64))) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 z z)) (+.f64 #s(literal -1 binary64) z))) y)
(* y (+ 1 (/ x y)))
(fma.f64 (/.f64 x y) y y)
(* y (+ (/ 1 z) (/ x (* y z))))
(/.f64 (fma.f64 (/.f64 x y) y y) z)
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y)))))
(fma.f64 (-.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) y) z) y y)
(* -1 (* y (* z (- 1 (/ 1 z)))))
(*.f64 (*.f64 (neg.f64 z) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))
(* -1 (* y (+ (* -1 (/ (* z (- (/ x z) x)) y)) (* z (- 1 (/ 1 z))))))
(*.f64 (neg.f64 y) (fma.f64 (-.f64 x (/.f64 x z)) (/.f64 z y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) z)))
(* -1 (* y (- 1 (/ 1 z))))
(*.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))
(* -1 (* y (- (+ 1 (* -1 (/ (- (/ x z) x) y))) (/ 1 z))))
(neg.f64 (fma.f64 (-.f64 (/.f64 (-.f64 x (/.f64 x z)) y) (/.f64 #s(literal 1 binary64) z)) y y))
(* -1 (* y (- (+ 1 (* -1 (/ x (* y z)))) (/ 1 z))))
(*.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) z)))
(* -1 (* y (+ (* -1 (/ (* x (- (pow z 2) 1)) (* y (- (* -1 z) 1)))) (* -1 (/ (- 1 (pow z 2)) (- 1 z))))))
(*.f64 (fma.f64 (/.f64 x y) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (-.f64 (neg.f64 z) #s(literal 1 binary64))) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 z z)) (+.f64 #s(literal -1 binary64) z))) y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)))
(* -1 (* y (- (* -1 (/ x (* y z))) (/ 1 z))))
(*.f64 (neg.f64 y) (-.f64 (/.f64 (/.f64 (neg.f64 x) z) y) (/.f64 #s(literal 1 binary64) z)))
(+ x (+ y (* z (+ (* -1 x) (* -1 y)))))
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(+ x (+ y (* -1 (* z (+ x y)))))
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(/ (+ x y) z)
(/.f64 (+.f64 x y) z)
(/ (+ x (+ y (* -1 (* z (+ x y))))) z)
(/.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) z)
(/ (+ x (+ y (* -1 (* y z)))) z)
(/.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) z) x) z)
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(fma.f64 (fma.f64 (fma.f64 #s(literal 0 binary64) z #s(literal 0 binary64)) z (-.f64 y x)) z (+.f64 x y))
(+ x (* -1 (* x z)))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
1
#s(literal 1 binary64)
(+ 1 (* -1 z))
(-.f64 #s(literal 1 binary64) z)
(* -1 z)
(neg.f64 z)
(+ y (* -1 (* y z)))
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(* z (+ (* -1 x) (* -1 y)))
(*.f64 (-.f64 (neg.f64 y) x) z)
(* z (+ (* -1 x) (+ (* -1 y) (+ (/ x z) (/ y z)))))
(*.f64 (-.f64 (-.f64 (/.f64 (+.f64 x y) z) y) x) 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) y) x) z)
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(-.f64 (neg.f64 y) x)
(- (+ (/ x z) (/ y z)) (+ x y))
(-.f64 (-.f64 (/.f64 (+.f64 x y) z) y) x)
(* -1 y)
(neg.f64 y)
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(*.f64 (-.f64 y x) z)
(* z (+ y (+ (* -1 x) (+ (/ x z) (/ y z)))))
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(* z (+ y (+ (* -1 x) (+ (* -1 (/ (- (* -1 (+ x (* -1 y))) (+ y (* -1 x))) (pow z 2))) (+ (/ x z) (/ y z))))))
(*.f64 (+.f64 (-.f64 (-.f64 (/.f64 (+.f64 x y) z) #s(literal 0 binary64)) x) y) z)
(* z (+ y (+ (* -1 x) (+ (* -1 (/ (- (* -1 (+ x (* -1 y))) (+ y (* -1 x))) (pow z 2))) (+ (* -1 (/ (- (* -1 (+ (* -1 x) (* -1 y))) (+ x y)) (pow z 3))) (+ (/ x z) (/ y z)))))))
(*.f64 (+.f64 (-.f64 (-.f64 (/.f64 (+.f64 x y) z) #s(literal 0 binary64)) x) y) z)
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(*.f64 (+.f64 (-.f64 (/.f64 (+.f64 x y) z) x) y) z)
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(*.f64 (+.f64 (-.f64 (-.f64 (/.f64 (+.f64 x y) z) #s(literal 0 binary64)) x) y) z)
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(*.f64 (neg.f64 z) (-.f64 (-.f64 x y) (/.f64 (-.f64 (+.f64 x y) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (-.f64 y x)) (-.f64 x y)) z)) z)))
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(*.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))
(* -1 (* z (+ y (* -1 (/ y z)))))
(*.f64 (-.f64 (/.f64 y z) y) z)

rewrite137.0ms (2.3%)

Memory
35.7MiB live, 176.3MiB allocated; 25ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038167
049157
1229155
22044146
09000145
Stop Event
iter limit
node limit
iter limit
Counts
15 → 284
Calls
Call 1
Inputs
#s(approx (+ (* (- 1 z) y) (* (- 1 z) x)) (*.f64 (-.f64 (-.f64 (/.f64 (+.f64 x y) z) y) x) z))
(*.f64 (-.f64 (-.f64 (/.f64 (+.f64 x y) z) y) x) z)
(-.f64 (-.f64 (/.f64 (+.f64 x y) z) y) x)
(-.f64 (/.f64 (+.f64 x y) z) y)
#s(approx (/ (+ (* (* (- 1 (* z z)) y) (+ (* -1 z) -1)) (* (- 1 z) (* (+ -1 (* z z)) x))) (* (- 1 z) (+ (* -1 z) -1))) (+.f64 x y))
(+.f64 x y)
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
(*.f64 #s(approx (- 1 z) (neg.f64 z)) x)
#s(approx (- 1 z) (neg.f64 z))
(neg.f64 z)
#s(approx (+ (* (- 1 z) y) (* (- 1 z) x)) (*.f64 (-.f64 #s(literal 1 binary64) z) y))
(*.f64 (-.f64 #s(literal 1 binary64) z) y)
(-.f64 #s(literal 1 binary64) z)
(fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
(/.f64 (+.f64 x y) z)
Outputs
#s(approx (+ (* (- 1 z) y) (* (- 1 z) x)) (*.f64 (-.f64 (-.f64 (/.f64 (+.f64 x y) z) y) x) z))
(*.f64 (-.f64 (-.f64 (/.f64 (+.f64 x y) z) y) x) z)
(*.f64 z (-.f64 (-.f64 (/.f64 (+.f64 x y) z) y) x))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (-.f64 (/.f64 (+.f64 x y) z) y) #s(literal 2 binary64)) (*.f64 x x)) z)) (neg.f64 (+.f64 (-.f64 (/.f64 (+.f64 x y) z) y) x)))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (-.f64 (/.f64 (+.f64 x y) z) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) z)) (neg.f64 (fma.f64 x (+.f64 (-.f64 (/.f64 (+.f64 x y) z) y) x) (pow.f64 (-.f64 (/.f64 (+.f64 x y) z) y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 z (-.f64 (pow.f64 (-.f64 (/.f64 (+.f64 x y) z) y) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (+.f64 (-.f64 (/.f64 (+.f64 x y) z) y) x)))
(/.f64 (neg.f64 (*.f64 z (-.f64 (pow.f64 (-.f64 (/.f64 (+.f64 x y) z) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 x (+.f64 (-.f64 (/.f64 (+.f64 x y) z) y) x) (pow.f64 (-.f64 (/.f64 (+.f64 x y) z) y) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 (/.f64 (+.f64 x y) z) y) #s(literal 2 binary64)) (*.f64 x x)) z) (+.f64 (-.f64 (/.f64 (+.f64 x y) z) y) x))
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 (/.f64 (+.f64 x y) z) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) z) (fma.f64 x (+.f64 (-.f64 (/.f64 (+.f64 x y) z) y) x) (pow.f64 (-.f64 (/.f64 (+.f64 x y) z) y) #s(literal 2 binary64))))
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(/.f64 (*.f64 z (-.f64 (pow.f64 (-.f64 (/.f64 (+.f64 x y) z) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 (-.f64 (/.f64 (+.f64 x y) z) y) x) (pow.f64 (-.f64 (/.f64 (+.f64 x y) z) y) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x y) z) #s(literal 2 binary64)) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 (+.f64 x y) z) (+.f64 x y))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x y) z) #s(literal 3 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (+.f64 x y) z) #s(literal 2 binary64)) (+.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 (/.f64 (+.f64 x y) z) (+.f64 x y))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 (/.f64 (+.f64 x y) z) y) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (+.f64 (-.f64 (/.f64 (+.f64 x y) z) y) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 (/.f64 (+.f64 x y) z) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (+.f64 (-.f64 (/.f64 (+.f64 x y) z) y) x) (pow.f64 (-.f64 (/.f64 (+.f64 x y) z) y) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (neg.f64 (+.f64 x y)) (-.f64 x y)) (*.f64 z (*.f64 (+.f64 x y) (-.f64 x y))))) (neg.f64 (*.f64 z (-.f64 x y))))
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(/.f64 (neg.f64 (-.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 z (*.f64 (+.f64 x y) (-.f64 x y))))) (neg.f64 (*.f64 z (-.f64 x y))))
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(/.f64 (-.f64 (*.f64 (/.f64 (neg.f64 (+.f64 x y)) #s(literal -1 binary64)) (-.f64 y x)) (*.f64 z (-.f64 (*.f64 y y) (*.f64 x x)))) (*.f64 z (-.f64 y x)))
(/.f64 (-.f64 (*.f64 (/.f64 (neg.f64 (+.f64 x y)) #s(literal -1 binary64)) (neg.f64 (-.f64 x y))) (*.f64 z (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y))))) (*.f64 z (neg.f64 (-.f64 x y))))
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(/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (- 1 z) z) x) #s(literal 2 binary64)) (pow.f64 (*.f64 y (-.f64 z #s(literal -1 binary64))) #s(literal 2 binary64))) (-.f64 (*.f64 #s(approx (- 1 z) z) x) (*.f64 y (-.f64 z #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (-.f64 z #s(literal -1 binary64))) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 #s(approx (- 1 z) z) x) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 y (-.f64 z #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 #s(approx (- 1 z) z) x) #s(literal 2 binary64)) (*.f64 (*.f64 y (-.f64 z #s(literal -1 binary64))) (neg.f64 (*.f64 #s(approx (- 1 z) z) x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y (-.f64 z #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(approx (- 1 z) z) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 y (-.f64 z #s(literal -1 binary64))) (*.f64 #s(approx (- 1 z) z) x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 #s(approx (- 1 z) z) x) #s(literal 3 binary64)) (pow.f64 (*.f64 y (-.f64 z #s(literal -1 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 #s(approx (- 1 z) z) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y (-.f64 z #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 y (-.f64 z #s(literal -1 binary64))) x) #s(approx (- 1 z) z))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 #s(approx (- 1 z) z) x) #s(literal 3 binary64)) (pow.f64 (*.f64 y (-.f64 z #s(literal -1 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(approx (- 1 z) z) x) (-.f64 (*.f64 #s(approx (- 1 z) z) x) (*.f64 y (-.f64 z #s(literal -1 binary64)))) (pow.f64 (*.f64 y (-.f64 z #s(literal -1 binary64))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (-.f64 z #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(approx (- 1 z) z) x) #s(literal 2 binary64))) (-.f64 (*.f64 y (-.f64 z #s(literal -1 binary64))) (*.f64 #s(approx (- 1 z) z) x)))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(approx (- 1 z) z) x) #s(literal 3 binary64)) (pow.f64 (*.f64 y (-.f64 z #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(approx (- 1 z) z) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y (-.f64 z #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 y (-.f64 z #s(literal -1 binary64))) x) #s(approx (- 1 z) z)))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(approx (- 1 z) z) x) #s(literal 3 binary64)) (pow.f64 (*.f64 y (-.f64 z #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(approx (- 1 z) z) x) (-.f64 (*.f64 #s(approx (- 1 z) z) x) (*.f64 y (-.f64 z #s(literal -1 binary64)))) (pow.f64 (*.f64 y (-.f64 z #s(literal -1 binary64))) #s(literal 2 binary64))))
(fma.f64 #s(approx (- 1 z) z) x (*.f64 y (-.f64 z #s(literal -1 binary64))))
(fma.f64 x #s(approx (- 1 z) z) (*.f64 y (-.f64 z #s(literal -1 binary64))))
(fma.f64 y (-.f64 z #s(literal -1 binary64)) (*.f64 (neg.f64 (neg.f64 #s(approx (- 1 z) z))) x))
(fma.f64 y (-.f64 z #s(literal -1 binary64)) (*.f64 #s(approx (- 1 z) z) x))
(fma.f64 (-.f64 z #s(literal -1 binary64)) y (*.f64 (neg.f64 (neg.f64 #s(approx (- 1 z) z))) x))
(fma.f64 (-.f64 z #s(literal -1 binary64)) y (*.f64 #s(approx (- 1 z) z) x))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 z) z) x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (- 1 z) z) x) (*.f64 y (-.f64 z #s(literal -1 binary64))))) (/.f64 (pow.f64 (*.f64 y (-.f64 z #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (- 1 z) z) x) (*.f64 y (-.f64 z #s(literal -1 binary64))))))
(-.f64 (/.f64 (pow.f64 (*.f64 y (-.f64 z #s(literal -1 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 y (-.f64 z #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 #s(approx (- 1 z) z) x) #s(literal 2 binary64)) (*.f64 (*.f64 y (-.f64 z #s(literal -1 binary64))) (neg.f64 (*.f64 #s(approx (- 1 z) z) x)))))) (/.f64 (neg.f64 (pow.f64 (*.f64 #s(approx (- 1 z) z) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y (-.f64 z #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 #s(approx (- 1 z) z) x) #s(literal 2 binary64)) (*.f64 (*.f64 y (-.f64 z #s(literal -1 binary64))) (neg.f64 (*.f64 #s(approx (- 1 z) z) x)))))))
(-.f64 (/.f64 (pow.f64 (*.f64 y (-.f64 z #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 y (-.f64 z #s(literal -1 binary64))) (*.f64 #s(approx (- 1 z) z) x))) (/.f64 (pow.f64 (*.f64 #s(approx (- 1 z) z) x) #s(literal 2 binary64)) (-.f64 (*.f64 y (-.f64 z #s(literal -1 binary64))) (*.f64 #s(approx (- 1 z) z) x))))
(-.f64 (*.f64 #s(approx (- 1 z) z) x) (*.f64 (neg.f64 y) (-.f64 z #s(literal -1 binary64))))
(-.f64 (*.f64 #s(approx (- 1 z) z) x) (*.f64 (-.f64 #s(literal -1 binary64) z) y))
(-.f64 (*.f64 y (-.f64 z #s(literal -1 binary64))) (*.f64 (neg.f64 x) #s(approx (- 1 z) z)))
(-.f64 (*.f64 y (-.f64 z #s(literal -1 binary64))) (neg.f64 (*.f64 #s(approx (- 1 z) z) x)))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 z) z) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 #s(approx (- 1 z) z) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y (-.f64 z #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 y (-.f64 z #s(literal -1 binary64))) x) #s(approx (- 1 z) z))))) (/.f64 (pow.f64 (*.f64 y (-.f64 z #s(literal -1 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 #s(approx (- 1 z) z) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y (-.f64 z #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 y (-.f64 z #s(literal -1 binary64))) x) #s(approx (- 1 z) z))))))
(+.f64 (/.f64 (pow.f64 (*.f64 y (-.f64 z #s(literal -1 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 #s(approx (- 1 z) z) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y (-.f64 z #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 y (-.f64 z #s(literal -1 binary64))) x) #s(approx (- 1 z) z))))) (/.f64 (pow.f64 (*.f64 #s(approx (- 1 z) z) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 #s(approx (- 1 z) z) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y (-.f64 z #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 y (-.f64 z #s(literal -1 binary64))) x) #s(approx (- 1 z) z))))))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 z) z) x) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(approx (- 1 z) z) x) (-.f64 (*.f64 #s(approx (- 1 z) z) x) (*.f64 y (-.f64 z #s(literal -1 binary64)))) (pow.f64 (*.f64 y (-.f64 z #s(literal -1 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 y (-.f64 z #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(approx (- 1 z) z) x) (-.f64 (*.f64 #s(approx (- 1 z) z) x) (*.f64 y (-.f64 z #s(literal -1 binary64)))) (pow.f64 (*.f64 y (-.f64 z #s(literal -1 binary64))) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (*.f64 y (-.f64 z #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(approx (- 1 z) z) x) (-.f64 (*.f64 #s(approx (- 1 z) z) x) (*.f64 y (-.f64 z #s(literal -1 binary64)))) (pow.f64 (*.f64 y (-.f64 z #s(literal -1 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 #s(approx (- 1 z) z) x) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(approx (- 1 z) z) x) (-.f64 (*.f64 #s(approx (- 1 z) z) x) (*.f64 y (-.f64 z #s(literal -1 binary64)))) (pow.f64 (*.f64 y (-.f64 z #s(literal -1 binary64))) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (*.f64 y (-.f64 z #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 y (-.f64 z #s(literal -1 binary64))) (*.f64 #s(approx (- 1 z) z) x))) (/.f64 (*.f64 (neg.f64 (*.f64 #s(approx (- 1 z) z) x)) (*.f64 #s(approx (- 1 z) z) x)) (-.f64 (*.f64 y (-.f64 z #s(literal -1 binary64))) (*.f64 #s(approx (- 1 z) z) x))))
(+.f64 (*.f64 #s(approx (- 1 z) z) x) (*.f64 y (-.f64 z #s(literal -1 binary64))))
(+.f64 (*.f64 y (-.f64 z #s(literal -1 binary64))) (*.f64 (neg.f64 (neg.f64 #s(approx (- 1 z) z))) x))
(+.f64 (*.f64 y (-.f64 z #s(literal -1 binary64))) (*.f64 #s(approx (- 1 z) z) x))
(*.f64 (/.f64 (+.f64 x y) (-.f64 x y)) (/.f64 (-.f64 x y) z))
(*.f64 (/.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (fma.f64 y (-.f64 y x) (*.f64 x x))) (/.f64 (+.f64 x y) z))
(/.f64 (neg.f64 (/.f64 (neg.f64 (+.f64 x y)) #s(literal -1 binary64))) z)
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 x y) z)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 (/.f64 y z) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (*.f64 (/.f64 x z) (/.f64 y z))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (+.f64 x y)))) z)
(/.f64 (neg.f64 (fma.f64 x z (*.f64 z y))) (*.f64 z z))
(/.f64 (fma.f64 (neg.f64 y) z (*.f64 z (neg.f64 x))) (*.f64 z z))
(/.f64 (fma.f64 (neg.f64 y) z (*.f64 z x)) (*.f64 z z))
(/.f64 (fma.f64 y z (*.f64 z (neg.f64 x))) (*.f64 z z))
(/.f64 (fma.f64 y z (*.f64 z x)) (*.f64 z z))
(/.f64 (fma.f64 (neg.f64 x) z (*.f64 z (neg.f64 y))) (*.f64 z z))
(/.f64 (fma.f64 (neg.f64 x) z (*.f64 z y)) (*.f64 z z))
(/.f64 (fma.f64 x z (*.f64 z (neg.f64 y))) (*.f64 z z))
(/.f64 (/.f64 (neg.f64 (+.f64 x y)) #s(literal -1 binary64)) z)
(/.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (/.f64 (-.f64 x y) z))
(/.f64 (+.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 (/.f64 y z) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (*.f64 (/.f64 x z) (/.f64 y z)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 x y))) z)
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y))) (neg.f64 (*.f64 (-.f64 x y) z)))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) z)))
(/.f64 (fma.f64 x z (*.f64 z y)) (*.f64 z z))
(/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (-.f64 x y) z))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) z))
(/.f64 (neg.f64 (+.f64 x y)) z)
(/.f64 (/.f64 (+.f64 x y) z) #s(literal -1 binary64))
(/.f64 (/.f64 (+.f64 x y) z) #s(literal 1 binary64))
(/.f64 (+.f64 x y) z)
(neg.f64 (/.f64 (+.f64 x y) z))
(-.f64 (/.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (/.f64 (-.f64 x y) z)) (/.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (/.f64 (-.f64 x y) z)))
(-.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 x y) z)) (/.f64 (*.f64 y y) (*.f64 (-.f64 x y) z)))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 x y)) z) (/.f64 (/.f64 (*.f64 y y) (-.f64 x y)) z))
(+.f64 (/.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (*.f64 (/.f64 x z) (/.f64 y z))))) (/.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (*.f64 (/.f64 x z) (/.f64 y z))))))
(+.f64 (/.f64 (*.f64 x z) (*.f64 z z)) (/.f64 (*.f64 z y) (*.f64 z z)))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) z)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) z)))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) z)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) z)))
(+.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x))) z) (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x))) z))
(+.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 x y) z)) (/.f64 (*.f64 (neg.f64 y) y) (*.f64 (-.f64 x y) z)))
(+.f64 (/.f64 y z) (/.f64 x z))
(+.f64 (/.f64 x z) (/.f64 y z))

eval168.0ms (2.8%)

Memory
-41.7MiB live, 262.2MiB allocated; 141ms collecting garbage
Compiler

Compiled 16 564 to 1 913 computations (88.5% saved)

prune15.0ms (0.3%)

Memory
8.0MiB live, 53.2MiB allocated; 4ms collecting garbage
Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New4573460
Fresh033
Picked145
Done000
Total45810468
Accuracy
100.0%
Counts
468 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.7%
(fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
49.2%
(*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z)))
52.0%
#s(approx (/ (+ (* (* (- 1 (* z z)) y) (+ (* -1 z) -1)) (* (- 1 z) (* (+ -1 (* z z)) x))) (* (- 1 z) (+ (* -1 z) -1))) (+.f64 x y))
55.9%
#s(approx (+ (* (- 1 z) y) (* (- 1 z) x)) (*.f64 (-.f64 #s(literal 1 binary64) z) y))
45.2%
#s(approx (+ (* (- 1 z) y) (* (- 1 z) x)) (*.f64 #s(approx (- (- (/ (+ x y) z) y) x) (-.f64 (/.f64 y z) y)) z))
3.2%
#s(approx (+ (* (- 1 z) y) (* (- 1 z) x)) (*.f64 #s(approx (- 1 z) z) x))
27.6%
#s(approx (+ (* (- 1 z) y) (* (- 1 z) x)) #s(approx (* (- 1 z) y) (*.f64 (neg.f64 z) y)))
26.1%
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
23.8%
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))
48.0%
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) x) (fma.f64 (neg.f64 z) x x)))
Compiler

Compiled 313 to 198 computations (36.7% saved)

simplify53.0ms (0.9%)

Memory
18.6MiB live, 62.8MiB allocated; 8ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
026165
034157
159157
294157
3147157
4220157
5351157
6677157
71052157
81585157
92251157
102698157
113006157
123038157
03038157
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.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
#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 (+ (* (- 1 z) y) (* (- 1 z) x)) (*.f64 #s(approx (- 1 z) z) x))
(*.f64 #s(approx (- 1 z) z) x)
#s(approx (- 1 z) z)
z
x
#s(approx (+ (* (- 1 z) y) (* (- 1 z) x)) #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
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) x) (fma.f64 (neg.f64 z) x x)))
#s(approx (* (- 1 z) x) (fma.f64 (neg.f64 z) x x))
(fma.f64 (neg.f64 z) x x)
(neg.f64 z)
z
x
Outputs
(*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z)))
(*.f64 #s(approx (- 1 z) (neg.f64 z)) (+.f64 y x))
(+.f64 x y)
(+.f64 y x)
x
y
#s(approx (- 1 z) (neg.f64 z))
(neg.f64 z)
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 (+ (* (- 1 z) y) (* (- 1 z) x)) (*.f64 #s(approx (- 1 z) z) x))
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) z) x))
(*.f64 #s(approx (- 1 z) z) x)
#s(approx (- 1 z) z)
z
x
#s(approx (+ (* (- 1 z) y) (* (- 1 z) x)) #s(approx (* (- 1 z) y) (*.f64 (neg.f64 z) y)))
#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
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) x) (fma.f64 (neg.f64 z) x x)))
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x)))
#s(approx (* (- 1 z) x) (fma.f64 (neg.f64 z) x x))
#s(approx (* (- 1 z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
(fma.f64 (neg.f64 z) x x)
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(neg.f64 z)
z
x

localize56.0ms (0.9%)

Memory
1.0MiB live, 97.4MiB allocated; 31ms collecting garbage
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(fma.f64 (neg.f64 z) x x)
accuracy0.0
(neg.f64 z)
accuracy0.0
#s(approx (* (- 1 z) x) (fma.f64 (neg.f64 z) x x))
accuracy33.27100390837372
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) x) (fma.f64 (neg.f64 z) x x)))
accuracy0.0
(*.f64 (neg.f64 z) y)
accuracy0.0
(neg.f64 z)
accuracy28.222646745311902
#s(approx (+ (* (- 1 z) y) (* (- 1 z) x)) #s(approx (* (- 1 z) y) (*.f64 (neg.f64 z) y)))
accuracy32.178124076026975
#s(approx (* (- 1 z) y) (*.f64 (neg.f64 z) y))
accuracy0.01171875
(*.f64 #s(approx (- 1 z) z) x)
accuracy33.27100390837372
#s(approx (+ (* (- 1 z) y) (* (- 1 z) x)) (*.f64 #s(approx (- 1 z) z) x))
accuracy62.481203110664275
#s(approx (- 1 z) z)
accuracy0.01171875
(*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)
accuracy30.756829534324023
#s(approx (- 1 z) #s(literal 1 binary64))
accuracy33.27100390837372
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))
accuracy0.0
(+.f64 x y)
accuracy0.0
(neg.f64 z)
accuracy0.015625
(*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z)))
accuracy32.37137530678026
#s(approx (- 1 z) (neg.f64 z))
Samples
45.0ms256×0valid
Compiler

Compiled 104 to 16 computations (84.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-mult: 18.0ms (68% of total)
ival-add: 6.0ms (22.7% of total)
ival-sub: 1.0ms (3.8% of total)
ival-neg: 1.0ms (3.8% 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)

series14.0ms (0.2%)

Memory
-11.3MiB live, 33.1MiB allocated; 9ms collecting garbage
Counts
16 → 36
Calls
Call 1
Inputs
(*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z)))
(+.f64 x y)
#s(approx (- 1 z) (neg.f64 z))
(neg.f64 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(approx (+ (* (- 1 z) y) (* (- 1 z) x)) (*.f64 #s(approx (- 1 z) z) x))
(*.f64 #s(approx (- 1 z) z) x)
#s(approx (- 1 z) z)
#s(approx (+ (* (- 1 z) y) (* (- 1 z) x)) #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)
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) x) (fma.f64 (neg.f64 z) x x)))
#s(approx (* (- 1 z) x) (fma.f64 (neg.f64 z) x x))
(fma.f64 (neg.f64 z) x x)
Outputs
(* y (- 1 z))
(+ (* x (- 1 z)) (* y (- 1 z)))
y
(+ x y)
(* x (- 1 z))
(* x (+ 1 (* -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)))
(* -1 (* x (- z 1)))
(* -1 (* y z))
(* 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 (* -1 (* x z)))
(+ x (+ y (* z (+ (* -1 x) (* -1 y)))))
(+ y (* -1 (* y z)))
(* -1 (* z (+ x y)))
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(* z (- (/ 1 z) 1))
(* -1 (* x z))
(* z (+ (* -1 x) (/ x z)))
(* z (+ (* -1 x) (* -1 y)))
(* z (+ (* -1 x) (+ (* -1 y) (+ (/ x z) (/ y z)))))
(* z (+ (* -1 y) (/ y z)))
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))
(* -1 (* z (- 1 (/ 1 z))))
(* -1 (* z (+ x (* -1 (/ x z)))))
(* -1 (* z (+ y (* -1 (/ y z)))))
Calls

9 calls:

TimeVariablePointExpression
5.0ms
y
@-inf
((* (+ x y) (- 1 z)) (+ x y) (- 1 z) (neg z) (* (+ x y) (- 1 z)) (* (- 1 z) x) (- 1 z) (+ (* (- 1 z) y) (* (- 1 z) x)) (* (- 1 z) x) (- 1 z) (+ (* (- 1 z) y) (* (- 1 z) x)) (* (- 1 z) y) (* (neg z) y) (* (+ x y) (- 1 z)) (* (- 1 z) x) (+ (* (neg z) x) x))
1.0ms
z
@inf
((* (+ x y) (- 1 z)) (+ x y) (- 1 z) (neg z) (* (+ x y) (- 1 z)) (* (- 1 z) x) (- 1 z) (+ (* (- 1 z) y) (* (- 1 z) x)) (* (- 1 z) x) (- 1 z) (+ (* (- 1 z) y) (* (- 1 z) x)) (* (- 1 z) y) (* (neg z) y) (* (+ x y) (- 1 z)) (* (- 1 z) x) (+ (* (neg z) x) x))
1.0ms
z
@0
((* (+ x y) (- 1 z)) (+ x y) (- 1 z) (neg z) (* (+ x y) (- 1 z)) (* (- 1 z) x) (- 1 z) (+ (* (- 1 z) y) (* (- 1 z) x)) (* (- 1 z) x) (- 1 z) (+ (* (- 1 z) y) (* (- 1 z) x)) (* (- 1 z) y) (* (neg z) y) (* (+ x y) (- 1 z)) (* (- 1 z) x) (+ (* (neg z) x) x))
1.0ms
x
@inf
((* (+ x y) (- 1 z)) (+ x y) (- 1 z) (neg z) (* (+ x y) (- 1 z)) (* (- 1 z) x) (- 1 z) (+ (* (- 1 z) y) (* (- 1 z) x)) (* (- 1 z) x) (- 1 z) (+ (* (- 1 z) y) (* (- 1 z) x)) (* (- 1 z) y) (* (neg z) y) (* (+ x y) (- 1 z)) (* (- 1 z) x) (+ (* (neg z) x) x))
1.0ms
x
@-inf
((* (+ x y) (- 1 z)) (+ x y) (- 1 z) (neg z) (* (+ x y) (- 1 z)) (* (- 1 z) x) (- 1 z) (+ (* (- 1 z) y) (* (- 1 z) x)) (* (- 1 z) x) (- 1 z) (+ (* (- 1 z) y) (* (- 1 z) x)) (* (- 1 z) y) (* (neg z) y) (* (+ x y) (- 1 z)) (* (- 1 z) x) (+ (* (neg z) x) x))

simplify185.0ms (3.1%)

Memory
-3.6MiB live, 236.7MiB allocated; 19ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
096191
1337190
2985190
33036190
46799190
08293190
Stop Event
iter limit
node limit
Counts
36 → 34
Calls
Call 1
Inputs
(* y (- 1 z))
(+ (* x (- 1 z)) (* y (- 1 z)))
y
(+ x y)
(* x (- 1 z))
(* x (+ 1 (* -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)))
(* -1 (* x (- z 1)))
(* -1 (* y z))
(* 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 (* -1 (* x z)))
(+ x (+ y (* z (+ (* -1 x) (* -1 y)))))
(+ y (* -1 (* y z)))
(* -1 (* z (+ x y)))
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(* z (- (/ 1 z) 1))
(* -1 (* x z))
(* z (+ (* -1 x) (/ x z)))
(* z (+ (* -1 x) (* -1 y)))
(* z (+ (* -1 x) (+ (* -1 y) (+ (/ x z) (/ y z)))))
(* z (+ (* -1 y) (/ y z)))
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))
(* -1 (* z (- 1 (/ 1 z))))
(* -1 (* z (+ x (* -1 (/ x z)))))
(* -1 (* z (+ y (* -1 (/ y 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 (* -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)))
(* -1 (* x (- z 1)))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(* -1 (* y z))
(*.f64 (neg.f64 y) z)
(* 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)
(neg.f64 z)
(+ x (* -1 (* x z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(+ x (+ y (* z (+ (* -1 x) (* -1 y)))))
(*.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z))
(+ y (* -1 (* y z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) y)
(* -1 (* z (+ x y)))
(*.f64 (-.f64 (neg.f64 y) x) z)
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(*.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z))
(* z (- (/ 1 z) 1))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) z)
(* -1 (* x z))
(*.f64 (neg.f64 x) z)
(* z (+ (* -1 x) (/ x z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(* z (+ (* -1 x) (* -1 y)))
(*.f64 (-.f64 (neg.f64 y) x) z)
(* z (+ (* -1 x) (+ (* -1 y) (+ (/ x z) (/ y z)))))
(*.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z))
(* z (+ (* -1 y) (/ y z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) y)
(* -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))
(* -1 (* z (+ x (* -1 (/ x z)))))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(* -1 (* z (+ y (* -1 (/ y z)))))
(*.f64 (-.f64 #s(literal 1 binary64) z) y)

rewrite338.0ms (5.7%)

Memory
-9.2MiB live, 329.1MiB allocated; 62ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026150
034142
1107142
2664142
08478142
Stop Event
iter limit
node limit
iter limit
Counts
16 → 254
Calls
Call 1
Inputs
(*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z)))
(+.f64 x y)
#s(approx (- 1 z) (neg.f64 z))
(neg.f64 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(approx (+ (* (- 1 z) y) (* (- 1 z) x)) (*.f64 #s(approx (- 1 z) z) x))
(*.f64 #s(approx (- 1 z) z) x)
#s(approx (- 1 z) z)
#s(approx (+ (* (- 1 z) y) (* (- 1 z) x)) #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)
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) x) (fma.f64 (neg.f64 z) x x)))
#s(approx (* (- 1 z) x) (fma.f64 (neg.f64 z) x x))
(fma.f64 (neg.f64 z) x x)
Outputs
(*.f64 (/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) #s(approx (- 1 z) (neg.f64 z))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 x x (*.f64 y (+.f64 y x))))
(*.f64 (/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) #s(approx (- 1 z) (neg.f64 z))) (*.f64 (+.f64 y x) (-.f64 x y))) (+.f64 y x))
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(approx (- 1 z) (neg.f64 z))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y (-.f64 y x)) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(approx (- 1 z) (neg.f64 z))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y (-.f64 y x)) #s(literal 3 binary64)))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 y (-.f64 y x)) (-.f64 (*.f64 y (-.f64 y x)) (*.f64 x x)))))
(*.f64 (/.f64 (*.f64 (*.f64 #s(approx (- 1 z) (neg.f64 z)) (+.f64 y x)) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 x x (*.f64 y (+.f64 y x))))
(*.f64 (/.f64 (*.f64 (*.f64 #s(approx (- 1 z) (neg.f64 z)) (+.f64 y x)) (-.f64 x y)) (*.f64 (+.f64 y x) (-.f64 x y))) (+.f64 y x))
(*.f64 (/.f64 (*.f64 #s(approx (- 1 z) (neg.f64 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 y (-.f64 y x)) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))
(*.f64 (/.f64 (*.f64 #s(approx (- 1 z) (neg.f64 z)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y (-.f64 y x)) #s(literal 3 binary64)))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 y (-.f64 y x)) (-.f64 (*.f64 y (-.f64 y x)) (*.f64 x x)))))
(*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (/.f64 #s(approx (- 1 z) (neg.f64 z)) (-.f64 x y)))
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(approx (- 1 z) (neg.f64 z)) (fma.f64 y (-.f64 y x) (*.f64 x x))))
(*.f64 #s(approx (- 1 z) (neg.f64 z)) (+.f64 y x))
(*.f64 (+.f64 y x) #s(approx (- 1 z) (neg.f64 z)))
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) #s(approx (- 1 z) (neg.f64 z))) (-.f64 y x))
(/.f64 (*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) #s(approx (- 1 z) (neg.f64 z))) (neg.f64 (-.f64 x y)))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(approx (- 1 z) (neg.f64 z))) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x))))
(/.f64 (*.f64 #s(approx (- 1 z) (neg.f64 z)) (*.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x))
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(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 (neg.f64 z) x) #s(literal 4 binary64)) (pow.f64 (*.f64 x (+.f64 x (*.f64 z x))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (*.f64 x (+.f64 x (*.f64 z x)))) (/.f64 (pow.f64 (*.f64 (neg.f64 z) x) #s(literal 3 binary64)) (*.f64 x (fma.f64 (*.f64 z z) x (+.f64 x (*.f64 z x))))))
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(fma.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (neg.f64 z) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) x)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 (*.f64 (neg.f64 z) x) x)))
(fma.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (*.f64 x (fma.f64 (*.f64 z z) x (neg.f64 x)))) (*.f64 (-.f64 #s(literal 1 binary64) z) x) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 (*.f64 (neg.f64 z) x) x)))
(fma.f64 (*.f64 (*.f64 z z) x) (/.f64 x (-.f64 (*.f64 (neg.f64 z) x) x)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 (*.f64 (neg.f64 z) x) x)))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 x (fma.f64 (*.f64 z z) x (+.f64 x (*.f64 z x))))) (/.f64 (pow.f64 (*.f64 (neg.f64 z) x) #s(literal 3 binary64)) (*.f64 x (fma.f64 (*.f64 z z) x (+.f64 x (*.f64 z x))))))
(fma.f64 (pow.f64 (*.f64 (neg.f64 z) x) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 (neg.f64 z) x) #s(literal 3/2 binary64)) (*.f64 x (fma.f64 (*.f64 z z) x (+.f64 x (*.f64 z x))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x (fma.f64 (*.f64 z z) x (+.f64 x (*.f64 z x))))))
(fma.f64 (*.f64 z x) (/.f64 (*.f64 z x) (-.f64 (*.f64 (neg.f64 z) x) x)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 (*.f64 (neg.f64 z) x) x)))
(fma.f64 (neg.f64 x) z (*.f64 #s(literal 1 binary64) x))
(fma.f64 (neg.f64 x) z (*.f64 x #s(literal 1 binary64)))
(fma.f64 (neg.f64 x) z x)
(fma.f64 (fabs.f64 (*.f64 z x)) (/.f64 (fabs.f64 (*.f64 z x)) (-.f64 (*.f64 (neg.f64 z) x) x)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 (*.f64 (neg.f64 z) x) x)))
(fma.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x (fma.f64 (*.f64 z z) x (+.f64 x (*.f64 z x))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x (fma.f64 (*.f64 z z) x (+.f64 x (*.f64 z x))))))
(fma.f64 (*.f64 z z) (*.f64 x (/.f64 x (-.f64 (*.f64 (neg.f64 z) x) x))) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 (*.f64 (neg.f64 z) x) x)))
(fma.f64 (*.f64 (*.f64 (neg.f64 z) x) x) (/.f64 (neg.f64 z) (-.f64 (*.f64 (neg.f64 z) x) x)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 (*.f64 (neg.f64 z) x) x)))
(fma.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (/.f64 (*.f64 (neg.f64 z) x) (*.f64 x (fma.f64 (*.f64 z z) x (+.f64 x (*.f64 z x))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x (fma.f64 (*.f64 z z) x (+.f64 x (*.f64 z x))))))
(fma.f64 (*.f64 x x) (/.f64 x (*.f64 x (fma.f64 (*.f64 z z) x (+.f64 x (*.f64 z x))))) (/.f64 (pow.f64 (*.f64 (neg.f64 z) x) #s(literal 3 binary64)) (*.f64 x (fma.f64 (*.f64 z z) x (+.f64 x (*.f64 z x))))))
(fma.f64 (*.f64 x x) (/.f64 (*.f64 z z) (-.f64 (*.f64 (neg.f64 z) x) x)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 (*.f64 (neg.f64 z) x) x)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (*.f64 x (fma.f64 (*.f64 z z) x (+.f64 x (*.f64 z x))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x (fma.f64 (*.f64 z z) x (+.f64 x (*.f64 z x))))))
(fma.f64 (*.f64 (neg.f64 z) x) (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (*.f64 x (fma.f64 (*.f64 z z) x (+.f64 x (*.f64 z x))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x (fma.f64 (*.f64 z z) x (+.f64 x (*.f64 z x))))))
(fma.f64 (*.f64 (neg.f64 z) x) (/.f64 (*.f64 (neg.f64 z) x) (-.f64 (*.f64 (neg.f64 z) x) x)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 (*.f64 (neg.f64 z) x) x)))
(fma.f64 (neg.f64 z) (/.f64 (*.f64 (*.f64 (neg.f64 z) x) x) (-.f64 (*.f64 (neg.f64 z) x) x)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 (*.f64 (neg.f64 z) x) x)))
(fma.f64 (neg.f64 z) x (*.f64 #s(literal 1 binary64) x))
(fma.f64 (neg.f64 z) x (*.f64 x #s(literal 1 binary64)))
(fma.f64 (neg.f64 z) x x)
(fma.f64 z (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) x))
(fma.f64 z (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 x #s(literal 1 binary64)))
(fma.f64 z (*.f64 #s(literal 1 binary64) (neg.f64 x)) x)
(fma.f64 z (neg.f64 x) (*.f64 #s(literal 1 binary64) x))
(fma.f64 z (neg.f64 x) (*.f64 x #s(literal 1 binary64)))
(fma.f64 z (neg.f64 x) x)
(fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) x) (*.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) x) (*.f64 x #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) x) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 (neg.f64 z) x))
(fma.f64 x (/.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 z z) x (+.f64 x (*.f64 z x))))) (/.f64 (pow.f64 (*.f64 (neg.f64 z) x) #s(literal 3 binary64)) (*.f64 x (fma.f64 (*.f64 z z) x (+.f64 x (*.f64 z x))))))
(fma.f64 x (/.f64 (*.f64 (*.f64 z z) x) (-.f64 (*.f64 (neg.f64 z) x) x)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 (*.f64 (neg.f64 z) x) x)))
(fma.f64 x (neg.f64 z) (*.f64 #s(literal 1 binary64) x))
(fma.f64 x (neg.f64 z) (*.f64 x #s(literal 1 binary64)))
(fma.f64 x (neg.f64 z) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 (neg.f64 z) x))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x (*.f64 z x))) (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (+.f64 x (*.f64 z x))))
(-.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 z) x) x)) (*.f64 x (/.f64 x (-.f64 (*.f64 (neg.f64 z) x) x))))
(-.f64 x (*.f64 z x))
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 z) x))
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 z) x))
(+.f64 (/.f64 (pow.f64 (*.f64 (neg.f64 z) x) #s(literal 3 binary64)) (fma.f64 x x (*.f64 (*.f64 x x) (fma.f64 z z z)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (*.f64 (*.f64 x x) (fma.f64 z z z)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (*.f64 (*.f64 x x) (fma.f64 z z z)))) (/.f64 (pow.f64 (*.f64 (neg.f64 z) x) #s(literal 3 binary64)) (fma.f64 x x (*.f64 (*.f64 x x) (fma.f64 z z z)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x (fma.f64 (*.f64 z z) x (+.f64 x (*.f64 z x))))) (/.f64 (pow.f64 (*.f64 (neg.f64 z) x) #s(literal 3 binary64)) (*.f64 x (fma.f64 (*.f64 z z) x (+.f64 x (*.f64 z x))))))
(+.f64 (/.f64 (pow.f64 (*.f64 (neg.f64 z) x) #s(literal 3 binary64)) (*.f64 x (fma.f64 (*.f64 z z) x (+.f64 x (*.f64 z x))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x (fma.f64 (*.f64 z z) x (+.f64 x (*.f64 z x))))))
(+.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 z) x) x)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 (*.f64 (neg.f64 z) x) x)))
(+.f64 (*.f64 (neg.f64 z) x) (*.f64 #s(literal 1 binary64) x))
(+.f64 (*.f64 (neg.f64 z) x) (*.f64 x #s(literal 1 binary64)))
(+.f64 (*.f64 (neg.f64 z) x) x)
(+.f64 x (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 z)))
(+.f64 x (*.f64 (neg.f64 z) x))

eval75.0ms (1.3%)

Memory
25.3MiB live, 108.9MiB allocated; 21ms collecting garbage
Compiler

Compiled 9 026 to 1 061 computations (88.2% saved)

prune23.0ms (0.4%)

Memory
-9.0MiB live, 56.6MiB allocated; 10ms collecting garbage
Pruning

10 alts after pruning (2 fresh and 8 done)

PrunedKeptTotal
New2811282
Fresh011
Picked055
Done134
Total28210292
Accuracy
100.0%
Counts
292 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.4%
(fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
49.2%
(*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z)))
52.0%
#s(approx (/ (+ (* (* (- 1 (* z z)) y) (+ (* -1 z) -1)) (* (- 1 z) (* (+ -1 (* z z)) x))) (* (- 1 z) (+ (* -1 z) -1))) (+.f64 x y))
55.9%
#s(approx (+ (* (- 1 z) y) (* (- 1 z) x)) (*.f64 (-.f64 #s(literal 1 binary64) z) y))
45.2%
#s(approx (+ (* (- 1 z) y) (* (- 1 z) x)) (*.f64 #s(approx (- (- (/ (+ x y) z) y) x) (-.f64 (/.f64 y z) y)) z))
3.2%
#s(approx (+ (* (- 1 z) y) (* (- 1 z) x)) (*.f64 #s(approx (- 1 z) z) x))
27.6%
#s(approx (+ (* (- 1 z) y) (* (- 1 z) x)) #s(approx (* (- 1 z) y) (*.f64 (neg.f64 z) y)))
26.1%
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
23.8%
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))
48.0%
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) x) (fma.f64 (neg.f64 z) x x)))
Compiler

Compiled 555 to 211 computations (62% saved)

regimes78.0ms (1.3%)

Memory
26.7MiB live, 118.5MiB allocated; 5ms collecting garbage
Counts
20 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (* (* (- 1 (* z z)) y) (+ (* -1 z) -1)) (* (- 1 z) (* (+ -1 (* z z)) x))) (* (- 1 z) (+ (* -1 z) -1))) (+.f64 x y))
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))
#s(approx (+ (* (- 1 z) y) (* (- 1 z) x)) (*.f64 #s(approx (- 1 z) z) x))
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
#s(approx (+ (* (- 1 z) y) (* (- 1 z) x)) #s(approx (* (- 1 z) y) (*.f64 (neg.f64 z) y)))
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) x) (fma.f64 (neg.f64 z) x x)))
#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))
#s(approx (+ (* (- 1 z) y) (* (- 1 z) x)) (*.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))
(fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
(fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
(fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (-.f64 #s(literal 1 binary64) z) x))
#s(approx (+ (* (- 1 z) y) (* (- 1 z) x)) (*.f64 #s(approx (- (- (/ (+ x y) z) y) x) (-.f64 (/.f64 y z) y)) z))
#s(approx (+ (* (- 1 z) y) (* (- 1 z) x)) (*.f64 (-.f64 (-.f64 (/.f64 (+.f64 x y) z) y) x) z))
(*.f64 #s(approx (+ x y) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) z))
(*.f64 (+.f64 x y) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 z z)) (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) y) (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 z z)) x))) (*.f64 (-.f64 #s(literal 1 binary64) z) (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64))))
Outputs
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
Calls

6 calls:

47.0ms
y
8.0ms
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
6.0ms
z
6.0ms
x
6.0ms
(+.f64 x y)
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)

regimes43.0ms (0.7%)

Memory
-11.1MiB live, 86.4MiB allocated; 10ms collecting garbage
Counts
11 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (* (* (- 1 (* z z)) y) (+ (* -1 z) -1)) (* (- 1 z) (* (+ -1 (* z z)) x))) (* (- 1 z) (+ (* -1 z) -1))) (+.f64 x y))
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))
#s(approx (+ (* (- 1 z) y) (* (- 1 z) x)) (*.f64 #s(approx (- 1 z) z) x))
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
#s(approx (+ (* (- 1 z) y) (* (- 1 z) x)) #s(approx (* (- 1 z) y) (*.f64 (neg.f64 z) y)))
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) x) (fma.f64 (neg.f64 z) x x)))
#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))
#s(approx (+ (* (- 1 z) y) (* (- 1 z) x)) (*.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)) #s(approx (* (- 1 z) x) (fma.f64 (neg.f64 z) x x)))
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y))
Calls

6 calls:

7.0ms
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
4.0ms
(+.f64 x y)
4.0ms
y
4.0ms
z
4.0ms
x
Results
AccuracySegmentsBranch
98.0%3(-.f64 #s(literal 1 binary64) z)
98.5%2(+.f64 x y)
85.4%4(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
85.2%2x
88.5%2y
98.0%3z
Compiler

Compiled 16 to 25 computations (-56.3% saved)

regimes106.0ms (1.8%)

Memory
-12.0MiB live, 35.2MiB allocated; 3ms collecting garbage
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (* (* (- 1 (* z z)) y) (+ (* -1 z) -1)) (* (- 1 z) (* (+ -1 (* z z)) x))) (* (- 1 z) (+ (* -1 z) -1))) (+.f64 x y))
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))
#s(approx (+ (* (- 1 z) y) (* (- 1 z) x)) (*.f64 #s(approx (- 1 z) z) x))
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
#s(approx (+ (* (- 1 z) y) (* (- 1 z) x)) #s(approx (* (- 1 z) y) (*.f64 (neg.f64 z) y)))
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) x) (fma.f64 (neg.f64 z) x x)))
#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) x) (fma.f64 (neg.f64 z) x x)))
#s(approx (/ (+ (* (* (- 1 (* z z)) y) (+ (* -1 z) -1)) (* (- 1 z) (* (+ -1 (* z z)) x))) (* (- 1 z) (+ (* -1 z) -1))) (+.f64 x y))
Calls

6 calls:

93.0ms
z
3.0ms
x
2.0ms
(+.f64 x y)
2.0ms
y
2.0ms
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
Results
AccuracySegmentsBranch
70.8%3(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
68.8%2x
71.0%2y
76.6%3(-.f64 #s(literal 1 binary64) z)
76.6%3z
75.8%2(+.f64 x y)
Compiler

Compiled 16 to 25 computations (-56.3% saved)

regimes6.0ms (0.1%)

Memory
12.8MiB live, 12.8MiB allocated; 0ms collecting garbage
Counts
5 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (* (* (- 1 (* z z)) y) (+ (* -1 z) -1)) (* (- 1 z) (* (+ -1 (* z z)) x))) (* (- 1 z) (+ (* -1 z) -1))) (+.f64 x y))
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))
#s(approx (+ (* (- 1 z) y) (* (- 1 z) x)) (*.f64 #s(approx (- 1 z) z) x))
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
#s(approx (+ (* (- 1 z) y) (* (- 1 z) x)) #s(approx (* (- 1 z) y) (*.f64 (neg.f64 z) y)))
Outputs
#s(approx (+ (* (- 1 z) y) (* (- 1 z) x)) #s(approx (* (- 1 z) y) (*.f64 (neg.f64 z) y)))
#s(approx (/ (+ (* (* (- 1 (* z z)) y) (+ (* -1 z) -1)) (* (- 1 z) (* (+ -1 (* z z)) x))) (* (- 1 z) (+ (* -1 z) -1))) (+.f64 x y))
#s(approx (+ (* (- 1 z) y) (* (- 1 z) x)) #s(approx (* (- 1 z) y) (*.f64 (neg.f64 z) y)))
Calls

3 calls:

2.0ms
(+.f64 x y)
2.0ms
z
2.0ms
(-.f64 #s(literal 1 binary64) z)
Results
AccuracySegmentsBranch
76.4%3z
76.4%3(-.f64 #s(literal 1 binary64) z)
55.1%2(+.f64 x y)
Compiler

Compiled 7 to 12 computations (-71.4% saved)

regimes4.0ms (0.1%)

Memory
8.5MiB live, 8.5MiB allocated; 0ms collecting garbage
Counts
4 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (* (* (- 1 (* z z)) y) (+ (* -1 z) -1)) (* (- 1 z) (* (+ -1 (* z z)) x))) (* (- 1 z) (+ (* -1 z) -1))) (+.f64 x y))
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))
#s(approx (+ (* (- 1 z) y) (* (- 1 z) x)) (*.f64 #s(approx (- 1 z) z) x))
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
Outputs
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
#s(approx (/ (+ (* (* (- 1 (* z z)) y) (+ (* -1 z) -1)) (* (- 1 z) (* (+ -1 (* z z)) x))) (* (- 1 z) (+ (* -1 z) -1))) (+.f64 x y))
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
Calls

2 calls:

2.0ms
z
2.0ms
(-.f64 #s(literal 1 binary64) z)
Results
AccuracySegmentsBranch
75.1%3z
75.1%3(-.f64 #s(literal 1 binary64) z)
Compiler

Compiled 4 to 8 computations (-100% saved)

regimes29.0ms (0.5%)

Memory
-23.5MiB live, 23.0MiB allocated; 2ms collecting garbage
Accuracy

Total -32.1b remaining (-104.5%)

Threshold costs -32.1b (-104.5%)

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

6 calls:

21.0ms
z
1.0ms
x
1.0ms
y
1.0ms
(+.f64 x y)
1.0ms
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
Results
AccuracySegmentsBranch
52.0%1(+.f64 x y)
52.0%1x
52.0%1(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
52.0%1y
52.0%1(-.f64 #s(literal 1 binary64) z)
52.0%1z
Compiler

Compiled 16 to 25 computations (-56.3% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-8.051417899589914e-249
2.0992154255603904e-210
Compiler

Compiled 10 to 13 computations (-30% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-8.051417899589914e-249
2.0992154255603904e-210
Compiler

Compiled 10 to 13 computations (-30% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
4.503966681433292
32168986.322580207
0.0ms
-2.95327704355845
0.9987093544385663
Compiler

Compiled 10 to 13 computations (-30% saved)

bsearch30.0ms (0.5%)

Memory
9.7MiB live, 54.8MiB allocated; 3ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
0.0012906455614336576
3.95327704355845
12.0ms
-1.449876434585045e+23
-342026367606037.9
Samples
17.0ms272×0valid
Compiler

Compiled 945 to 574 computations (39.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-add: 2.0ms (39.3% of total)
ival-mult: 2.0ms (39.3% of total)
ival-sub: 1.0ms (19.7% 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)

simplify81.0ms (1.4%)

Memory
-36.1MiB live, 71.0MiB allocated; 20ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
054274
1121274
2382242
32017218
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(if (<=.f64 (+.f64 x y) #s(literal -5038209258419659/1007641851683931820587806291420968258893675472328417820220872324040744595635843008946260940337480903424595632540239579541935629958157893251896932560850028184716008537290582817399466548302510149103210893455908181007667595468047259786297601506742546990374638711734272 binary64)) #s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) x) (fma.f64 (neg.f64 z) x x))) #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)))
(if (<=.f64 (+.f64 x y) #s(literal -5038209258419659/1007641851683931820587806291420968258893675472328417820220872324040744595635843008946260940337480903424595632540239579541935629958157893251896932560850028184716008537290582817399466548302510149103210893455908181007667595468047259786297601506742546990374638711734272 binary64)) #s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) x) (fma.f64 (neg.f64 z) x x))) #s(approx (/ (+ (* (* (- 1 (* z z)) y) (+ (* -1 z) -1)) (* (- 1 z) (* (+ -1 (* z z)) x))) (* (- 1 z) (+ (* -1 z) -1))) (+.f64 x y)))
(if (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) #s(approx (+ (* (- 1 z) y) (* (- 1 z) x)) #s(approx (* (- 1 z) y) (*.f64 (neg.f64 z) y))) (if (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 5 binary64)) #s(approx (/ (+ (* (* (- 1 (* z z)) y) (+ (* -1 z) -1)) (* (- 1 z) (* (+ -1 (* z z)) x))) (* (- 1 z) (+ (* -1 z) -1))) (+.f64 x y)) #s(approx (+ (* (- 1 z) y) (* (- 1 z) x)) #s(approx (* (- 1 z) y) (*.f64 (neg.f64 z) y)))))
(if (<=.f64 z #s(literal -350000000000000 binary64)) #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (if (<=.f64 z #s(literal 1 binary64)) #s(approx (/ (+ (* (* (- 1 (* z z)) y) (+ (* -1 z) -1)) (* (- 1 z) (* (+ -1 (* z z)) x))) (* (- 1 z) (+ (* -1 z) -1))) (+.f64 x y)) #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))))
#s(approx (/ (+ (* (* (- 1 (* z z)) y) (+ (* -1 z) -1)) (* (- 1 z) (* (+ -1 (* z z)) x))) (* (- 1 z) (+ (* -1 z) -1))) (+.f64 x y))
Outputs
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(if (<=.f64 (+.f64 x y) #s(literal -5038209258419659/1007641851683931820587806291420968258893675472328417820220872324040744595635843008946260940337480903424595632540239579541935629958157893251896932560850028184716008537290582817399466548302510149103210893455908181007667595468047259786297601506742546990374638711734272 binary64)) #s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) x) (fma.f64 (neg.f64 z) x x))) #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)))
(if (<=.f64 (+.f64 x y) #s(literal -5038209258419659/1007641851683931820587806291420968258893675472328417820220872324040744595635843008946260940337480903424595632540239579541935629958157893251896932560850028184716008537290582817399466548302510149103210893455908181007667595468047259786297601506742546990374638711734272 binary64)) #s(approx (+ (* (- 1 z) y) (* (- 1 z) x)) #s(approx (* (- 1 z) x) (fma.f64 (neg.f64 z) x x))) #s(approx (+ (* (- 1 z) y) (* (- 1 z) x)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)))
(if (<=.f64 (+.f64 x y) #s(literal -5038209258419659/1007641851683931820587806291420968258893675472328417820220872324040744595635843008946260940337480903424595632540239579541935629958157893251896932560850028184716008537290582817399466548302510149103210893455908181007667595468047259786297601506742546990374638711734272 binary64)) #s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) x) (fma.f64 (neg.f64 z) x x))) #s(approx (/ (+ (* (* (- 1 (* z z)) y) (+ (* -1 z) -1)) (* (- 1 z) (* (+ -1 (* z z)) x))) (* (- 1 z) (+ (* -1 z) -1))) (+.f64 x y)))
(if (<=.f64 (+.f64 x y) #s(literal -5038209258419659/1007641851683931820587806291420968258893675472328417820220872324040744595635843008946260940337480903424595632540239579541935629958157893251896932560850028184716008537290582817399466548302510149103210893455908181007667595468047259786297601506742546990374638711734272 binary64)) #s(approx (+ (* (- 1 z) y) (* (- 1 z) x)) #s(approx (* (- 1 z) x) (fma.f64 (neg.f64 z) x x))) #s(approx (/ (+ (* (* (- 1 (* z z)) y) (+ (* -1 z) -1)) (* (- 1 z) (* (+ -1 (* z z)) x))) (* (- 1 z) (+ (* -1 z) -1))) (+.f64 x y)))
(if (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) #s(approx (+ (* (- 1 z) y) (* (- 1 z) x)) #s(approx (* (- 1 z) y) (*.f64 (neg.f64 z) y))) (if (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 5 binary64)) #s(approx (/ (+ (* (* (- 1 (* z z)) y) (+ (* -1 z) -1)) (* (- 1 z) (* (+ -1 (* z z)) x))) (* (- 1 z) (+ (* -1 z) -1))) (+.f64 x y)) #s(approx (+ (* (- 1 z) y) (* (- 1 z) x)) #s(approx (* (- 1 z) y) (*.f64 (neg.f64 z) y)))))
(if (or (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (not (<=.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 5 binary64)))) #s(approx (+ (* (- 1 z) y) (* (- 1 z) x)) #s(approx (* (- 1 z) y) (*.f64 (neg.f64 z) y))) #s(approx (/ (+ (* (* (- 1 (* z z)) y) (+ (* -1 z) -1)) (* (- 1 z) (* (+ -1 (* z z)) x))) (* (- 1 z) (+ (* -1 z) -1))) (+.f64 x y)))
(if (<=.f64 z #s(literal -350000000000000 binary64)) #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (if (<=.f64 z #s(literal 1 binary64)) #s(approx (/ (+ (* (* (- 1 (* z z)) y) (+ (* -1 z) -1)) (* (- 1 z) (* (+ -1 (* z z)) x))) (* (- 1 z) (+ (* -1 z) -1))) (+.f64 x y)) #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))))
(if (or (<=.f64 z #s(literal -350000000000000 binary64)) (not (<=.f64 z #s(literal 1 binary64)))) #s(approx (+ (* (- 1 z) y) (* (- 1 z) x)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) #s(approx (/ (+ (* (* (- 1 (* z z)) y) (+ (* -1 z) -1)) (* (- 1 z) (* (+ -1 (* z z)) x))) (* (- 1 z) (+ (* -1 z) -1))) (+.f64 x y)))
#s(approx (/ (+ (* (* (- 1 (* z z)) y) (+ (* -1 z) -1)) (* (- 1 z) (* (+ -1 (* z z)) x))) (* (- 1 z) (+ (* -1 z) -1))) (+.f64 x y))

derivations1.0s (17.3%)

Memory
27.8MiB live, 744.4MiB allocated; 109ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02971118
11146969
25131955
08216913
065123
1220122
2773122
32468122
46395122
08148122
02871138
110311002
23859991
08239953
0713
01013
14013
228113
3324813
0987313
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 302 to 55 computations (81.8% saved)

preprocess47.0ms (0.8%)

Memory
21.5MiB live, 65.5MiB allocated; 8ms collecting garbage
Remove

(sort x y)

Compiler

Compiled 646 to 152 computations (76.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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